Carla is going to the water slides and needs to figure out which deal is better. She can pay
$31 to go on the water slides as much as she wants, or she can pay $13 to get in, plus an
additional $3 per trip down the water slides. If Carla goes on a certain number of trips down
the water slides, the two options are equivalent in terms of cost. How many trips is that?
What is the cost?
Answers
Answer: $31 & It would be 6 trips!
Step-by-step explanation: 6 trips x $3 for the trips, is $18 plus the $13 to get in the park, would be equivalent to $31
Answer:
if she rides the slides 6 times, the costs will be the same: $31
Step-by-step explanation:
You can write an equation in order to solve this problem. Since you are trying to find how many trips using the (3t + 13) plan are equal to the plan that costs 31, the equation would be:
31 = 3t + 13
= 18 = 3t
= 6 = t
(3t + 13 stands for $3 a trip plus $13 entry fee)
This means that if Carla takes 6 trips using either plan, they will cost the same; both would cost $31.
Related Questions
Lindsey and tony both pay a constant monthly fee for gym membership. Lindsey pays 45$ for 2 months of membership. The table below shows how much tony pays for his membership wich statement is true
Answers
Answer:
the bottem one
Step-by-step explanation:
Answer:B
Step-by-step explanation:
B is correct
write an equation in slope intercept form that passes through the given point and is perpendicular to the graph of given equation (1,-2) y=5x+4
Answers
The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.
To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.
The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.
To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.
The negative reciprocal of 5 is -1/5.
Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:
y - y1 = m(x - x1)
Substituting the values:
y - (-2) = (-1/5)(x - 1)
Simplifying:
y + 2 = (-1/5)(x - 1)
To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:
y + 2 = (-1/5)x + 1/5
Subtracting 2 from both sides:
y = (-1/5)x + 1/5 - 2
Combining the constants:
y = (-1/5)x - 9/5
Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.
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which is greater 5.7 or 4.2?
Answers
Answer:
5.7 is greater
Step-by-step explanation:
hope this helps
Answer: 5.7
Step-by-step explanation:
Factor the quadratic equation 10:22
50% + 60 into the following format: (x + a) (x - b).
Answers
Answer:
The answer is "\(10((x-3)(x-2))\\\\\)"
Step-by-step explanation:
\(\to 10x^2-50x+60\\\\\to 10(x^2-5x+6)\\\\\to 10(x^2-5x+6)\\\\\to 10(x^2-(3+2)x+6)\\\\\to 10(x^2-(3+2)x+6)\\\\\to 10(x^2-3x-2x+6)\\\\\to 10(x(x-3)-2(x-3))\\\\\to 10((x-3)(x-2))\\\\\)
Enter the letter of the graphed
function.
-
-
a.y = (x + 2)(x − 1)(x − 3)
b.y = (x + 2)(x - 1)(x - 3)²
-
c. y = (x + 2)(x − 3)(x - 1)²
d.y= (x - 1)(x − 3)(x + 2)²
e.y = (x - 1)(x - 3)(x + 2)³
Answers
The graphed function is: y = (x + 2)(x − 1)(x − 3).
Option (a) is correct.
From the graph given in the question, it can be seen that the graph has 3 critical points, namely, x= -2, x = 1 and x = 3.
From all the five options given, the first option, that is, y = (x + 2)(x − 1)(x − 3), has the critical points x= -2, x = 1 and x = 3.
The critical points for a function are obtained by substituting the function to be equal to zero.
So, (x + 2)(x − 1)(x − 3) = 0
That is, x= -2, x = 1 and x = 3.
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The tickets for the field trip were purchased yesterday for both students and instructors. Children tickets cost $9, adult tickets cost $11. The number of children tickets purchased was three more than ten times the number of adults tickets purchased. How many of each were purchased if all of the tickets cost a total of $936 dollars?
Answers
The 9 adult tickets and 93 children tickets were purchased.Let's assume the number of adult tickets purchased is "a" and the number of children tickets purchased is "c."
According to the given information, children tickets cost $9 and adult tickets cost $11. So, the total cost of children tickets is 9c, and the total cost of adult tickets is 11a.
The problem also states that the total cost of all the tickets is $936. Therefore, we can write the following equation:
9c + 11a = 936
Additionally, it is mentioned that the number of children tickets purchased was three more than ten times the number of adult tickets purchased:
c = 10a + 3
We can now solve this system of equations to find the values of "a" and "c." By substituting the value of "c" from the second equation into the first equation, we have:
9(10a + 3) + 11a = 936
90a + 27 + 11a = 936
101a = 936 - 27
101a = 909
a = 909 / 101
a = 9
Substituting this value back into the second equation, we find:
c = 10(9) + 3
c = 90 + 3
c = 93.
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If the diameter is 15.5 cm what is the circumference
Answers
Answer:
see below
Step-by-step explanation:
The circumference is given by
C = pi *d
C = 15.5 pi
If we approximate pi by 3.14
C = 15.5 * 3.14
C =48.67
If we use the pi button
C =48.69486813
Answer:
48.7 cm
Step-by-step explanation:
Diameter times pi
Construct a linear equation for the linear data presented in the table
Answers
Answer:
y = -7x
Explanation:
Take two points from table: (-4, 28), (-3, 21)
Find slope:
\(\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points\)
\(\rightarrow \sf slope\ (m): \dfrac{21-28}{-3-(-4)} = -7\)
Now find equation:
\(\sf y - y_1 = m (x - x_1)\)
\(\rightarrow \sf y - 21 = -7(x - (-3))\)
\(\rightarrow \sf y = -7(x +3) + 21\)
\(\rightarrow \sf y = -7x -21 + 21\)
\(\rightarrow \sf y = -7x\)
Slope
m=y/xm=14/-2m=-7Equation of line
y=mx+0y=-7xMarcia Gadzera wants to retire in San Diego when she is 65 years old. Marcia is now 50 and believes she will need $90,000 to retire comfortably. To date, she has set aside no retirement money. If she gets interest of 10% compounded semiannually, how much must she invest today to meet her goal of $90,000?
Answers
Answer:
Step-by-step explanation:
We can use the formula for the future value of an annuity to determine how much Marcia needs to invest today to meet her retirement goal of $90,000. The formula for the future value of an annuity is:
FV = PMT x [(1 + r/n)^(n*t) - 1] / (r/n)
where:
FV = future value of the annuity
PMT = payment (or deposit) made at the end of each compounding period
r = annual interest rate
n = number of compounding periods per year
t = number of years
In this case, we want to solve for the PMT (the amount Marcia needs to invest today). We know that:
Marcia wants to retire in 15 years (when she is 65), so t = 15
The interest rate is 10% per year, compounded semiannually, so r = 0.10/2 = 0.05 and n = 2
Marcia wants to have $90,000 in her retirement account
Substituting these values into the formula, we get:
$90,000 = PMT x [(1 + 0.05/2)^(2*15) - 1] / (0.05/2)
Simplifying the formula, we get:
PMT = $90,000 / [(1.025)^30 - 1] / 0.025
PMT = $90,000 / 19.7588
PMT = $4,553.39 (rounded to the nearest cent)
Therefore, Marcia needs to invest $4,553.39 today in order to meet her retirement goal of $90,000, assuming an interest rate of 10% per year, compounded semiannually.
helpppppppppppp plzzzzzzzzzzzzz
Answers
Answer: It is C
Step-by-step explanation:
n 1990, the cost of tuition at a large Midwestern university was $94 per credit hour. In 1998, tuition had risen to $190 per credit hour.
Determine a linear equation
C
to represent the cost of tuition in terms of
x
, the number of years since 1990.
C
=
In the year 2004, tuition will be $
per credit hour.
In the year
, tuition will be $322 per credit hour
Answers
a) A linear equation to represent the cost of tuition in terms of x, the number of years since 1990 is C = 94 + 12x.
b) Based on the linear equation, in the year 2004, the tuition will be $262 (94 + 12(14) per credit hour.
c) Using the same linear equation, in the year 2009, the tuition will be $322 per credit hour ($322 - $94)/$12.
What is a linear equation?A linear equation is an equation that describes a linear relationship.
A linear equation is written in the form of y = mx + b, where y and x are variables , m is the slope, and b is the y-intercept and a constant.
The cost of tuition per credit hour in 1990 = $94
The cost of tuition per credit hour in 1998 = $190
Linear Equation:Slope = Rise/Run
= ($190 - $94)/(1998 - 1990)
= $96/8
= $12
a) The cost of tuition in terms of x, the number of years since 1990 is C = 94 + 12x.
b) In the year 2004, the tuition will be $262 (94 + 12(14) per credit hour.
c) In the year 2009, the tuition will be $322 per credit hour ($322 - $94)/$12.
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Given that cos x = 3/5 and 0
Answers
Answer:
What do we have to do in this? Find x? Let me know I'll explain it in the comment section
One batch of ice cream recipe uses 9 cups of milk. A chef makes a different amounts of ice cream on different days. Here are the amounts of milk she used:
. Monday: 12 cups .Thursday: 6 cups
.Tuesday: 22 1/2 cups . Friday: 7 1/2 cups
1. How many batches of ice cream did she make on these days? For each day , Write a division equation, draw a tape diagram, and find the answer.
Answers
Answer: i think the answer is 1 on monday 0 on thrusday 2 on tuesday and 0 on friday. i dont really understnad the question tho and i think im wrong
Step-by-step explanation:
This year you earned $75,500. Last year you earned $72,400. What was the rate of change on your earnings since last year
Answers
Answer:
4.28%
Step-by-step explanation:
We Know
Last year you earned $72,400
This year you earned $75,500
What was the rate of change in your earnings since last year?
We Take
(75,500 ÷ 72,400) x 100 ≈ 104.28%
Then We Take
104.28 - 100 = 4.28%
So, the earning increased by about 4.28%.
in order to save money for prom this weekend, Tom is going to walk his neighbor's dog for $6 per hour and wash cars for $7.50 per hour. His mother told him he can work no more than 15 hours in order to keep up with his homework. If Tom would like to make at least $75 to cover prom expenses, help him determine combinations of hours he can work between these two jobs.
a. Write and graph a system of inequalities.
b. Write two possible solutions:
I.
ii.
Answers
Answer:
6x + 7.50y ≥ 75
Step-by-step explanation:
Let x = # of hours he walks the dog
y = # of hours he washes cars
We also know that he cannot have any negative hours, so 2 lines that we need to graph will be y = 0, with everything above this line shaded in, and x = 0, with everything to the right of this line shaded in and these lines will be solid because you can have 0 hours.
Another equation will be x + y ≤ 15. We graph the line, which will be solid, y = -x + 15, and shade everything to the left of this line.
The last equation will be 6x + 7.50y ≥ 75. We graph this solid line, y ≥ (-6x + 75)/7.50 & shade everything to the right of this line. Any point inside the area shaded in by all 4 equations will be an answer. I'll leave this up to you.
Hope this helps!
what is the correct factorization of 100^12
Answers
Answer:
GCF of 12 and 100 by Prime Factorization
Prime factorization of 12 and 100 is (2 × 2 × 3) and (2 × 2 × 5 × 5) respectively. As visible, 12 and 100 have common prime factors. Hence, the GCF of 12 and 100 is 2 × 2 = 4.
GCF of 12 and 100 by Listing Common FactorsFactors of 12: 1, 2, 3, 4, 6, 12Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
There are 3 common factors of 12 and 100, that are 1, 2, and 4. Therefore, the greatest common factor of 12 and 100 is 4.
On the 11th of March, 2011, an earthquake along the eastern shore of Japan caused a tsunami, which
then damaged a nuclear power plant. Several radioactive elements were released into the air and ocean.
Use an exponential decay formula to model how long some of these elements can be expected to persist
in the environment.
4. Cesium-137 has a decay constant of
0.0231 (a 30 year half-life). If 20
pounds of cesium-137 were released
into the Pacific Ocean by the tsunami,
how much will still be there ten years
later?
5. Strontium-90 has a decay constant of
0.0248 (a 28 year half-life). If 80
pounds of strontium-90 were
released into the Pacific Ocean by the
tsunami, how much will be left in 75
years?
6. When strontium-90 decays, it transforms into yttrium-90, which has a half-life of
only 64 hours, (0.007302 years). If the decay constant of yttrium-90 is -94.93,
what percentage of a one-pound sample will be left after one month ( of a
year)?
Answers
The radioactive sponteanous decay of the parent nucleus gives rise to the daughter nucleus.
What is radioactivity?Radioactivity refers to the sponteanous decay of a substance. We have the formula;
N(t) = Noe^-kt
Where;
N(t) = amount of radioactive material left after time t
No = amount of radioactive material initially present
k = decay constant
t = time taken
Let us now solve the questions individually;
a)
No = 20 pounds
N(t) = ?
k = 0.0231
t = 10 years
N(t) = 20e^-(0.0231 * 10)
N(t) = 16 pounds
b)
No = 80 pounds
N(t) = ?
k = 0.0248
t = 75 years
N(t) =80e^-(0.0248 * 75)
N(t) = 12.45 pounds
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The TV has a volume of 2,808 in³. The width measures 24 inches, and the height measures 18 inches. What is the depth of the TV? 18 in 6.5 in 24 in
Answers
Answer:
quisiera ayudarte pero no hablo inglés
Does anyone know how to do this? I really need help, I don't understand.
Answers
Answer:
I'm assuming you are looking for the amount of possible outcomes
1. 10 possible outcomes
2. 15 possible outcomes
Step-by-step explanation:
When you first start solving these problems the easiest thing to do is create a diagram of sorts to list all of your possible outcomes. For the first question the coin will either land on heads or tails and the spinner will land on the numbers 1, 2, 3, 4, or 5. Therefore the possible outcomes are H1, H2, H3, H4, H5, T1, T2, T3, T4, or T5. Add them up to get 10 possible outcomes. For the second question you will either pick 1, 2, 3, 4, or 5 and the colors red, white, or blue. Listing out all the possibilities gives you 1R, 2R, 3R, 4R, 5R, 1W, 2W, 3W, 4W, 5W,1B, 2B, 3B, 4B, or 5B. Add them up to get 15 possible outcomes.
Alternatively
For the first question you flip a coin thus you have a 1/2 chance for landing on either, then you spin the wheel where you have a 1/5 chance to land on any of the numbers. Multiply these values together you have a 1/10 chance, therefore there are 10 possible outcomes.
For the second question you have a 1/5 chance for the number and a 1/3 chance for the color. Multiply to get 1/15, therefore you have 15 possible outcomes.
Evaluate : (r - 3)³ + r² if r = -3 and s = -4. Show all the steps of working for this question.
I have a math test please give me the right answer!!
Answers
Answer:
-207
Step-by-step explanation:
Using r= -3, we can substitute r in the whole equation as (-3) which gives you: ((-3)-3)^3 +(-3)^2. Now you can calculate these values in a step by step manner. (-6)^3 +9 then to -216 +9 which brings you to the answer of -207.
Answer:
225
Step-by-step explanation:
(r - 3)³ + r² if r = -3 and s = -4
(-3 - 3)^3 + (-3)^2
(-6)^3 + (9)
(-6 x -6 x -6) + 9
-216 + 9
-207
Can I please get some help I’ve been stuck on this question for a while!
Answers
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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Physics graduate student Laura Van Ertia has conducted a complete randomized design with a single factor hoping to solve the mystery of the unified theory and complete her dissertation. The results of this experiment are summarized in the following ANOVA display:
Source DF SS MS F
Factor ? ? 14.18 ?
Error ? 37.75 ?
Total 23 108.63
Answer the following questions about this experiment.
a. The sum of squares for the factor is ____
b. The number of degrees of freedom for the single factor in the experiment is___
c. The number of degrees of freedom for error is ___
d. The mean square for error is ____
e. The value of the test statistic is ___
f. If the significance level is 0.05, your conclusions are not to reject the null hypothesis
Yes
No
g. An upper bound on the P-value for the test statistic is __
h. A lower bound on the P-value for the test statistic is ___
i. Laura used ___ levels of the factor in this experiment
j. Laura replicated this experiment ___ times
k. Suppose that Laura had actually conducted this experiment as a randomized complete block design and the sum of squares for blocks was 12. Reconstruct the ANOVA display above to reflect this new situation. How much has blocking reduced the estimate of experimental error?
Answers
Blocking has reduced the estimate of experimental error from MS = 37.75 to MS = 2.65, a reduction of approximately 93%.
What is statistics ?
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves using mathematical and computational methods to gather, summarize, and analyze data in order to make inferences and draw conclusions about populations based on samples. Statistics is widely used in fields such as science, medicine, business, engineering, social sciences, and many other areas where data are collected and analyzed. The goal of statistics is to provide insights and knowledge that can be used to make informed decisions and solve problems.
a. The sum of squares for the factor is 14.18
b. The number of degrees of freedom for the single factor in the experiment is DF = 1
c. The number of degrees of freedom for error is DF = 22
d. The mean square for error is MS = 37.75
e. The value of the test statistic is F = 0.376
f. If the significance level is 0.05, your conclusions are not to reject the null hypothesis. Yes
g. An upper bound on the P-value for the test statistic is p ≤ 0.05
h. A lower bound on the P-value for the test statistic is p > 0.01
i. Laura used 2 levels of the factor in this experiment
j. Laura replicated this experiment 12 times
k. Reconstructed ANOVA display:
Source DF SS MS F
Factor 1 14.18 14.18 15.97
Blocks 11 12.00 1.09 -
Error 12 31.75 2.65 -
Total 23 58.93 - -
Therefore, blocking has reduced the estimate of experimental error from MS = 37.75 to MS = 2.65, a reduction of approximately 93%.
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Suppose sam deposited 1000$ every month in the beginning for his retirement fund for 20 years at 5% compounded monthly. What is value of N
Answers
To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.
To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.
Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.
The formula to calculate the future value of a series of monthly deposits is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the investment,
P is the monthly deposit amount,
r is the monthly interest rate, and
n is the number of deposits.
In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.
By rearranging the formula, we can solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Plugging in the values, we get:
n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)
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Solve for x. I’ll give BRAINLIEST!!
Answers
Answer:
x = -7
Step-by-step explanation:
Firstly, under the rule of opposite vertical angles, you know that any angles opposite of each other in a cross section have the same degree measure.
Therefore the last remaining angle in the triangle will be 85 degrees, since it is vertically opposite of the 85 degree angle.
Next, you know that all three angles of a triangle MUST equal 180 degrees to be considered a complete triangle.
Therefore, use the equation below to solve for x:
180 = 54 + 85 + (48 + x)
x = 180 - 54 - 85 -48 = -7
can someone explain this to me?? so im trying to find the scale factor of quadrilateral I to quadrilateral II and the answer is 1/2 but how does that make sense if quadrilateral I is smaller than Quad II? if we were to use the scale factor wouldnt it just divide our side lengths in half?
Answers
Answer:
the scale factor is 1/2 you are right and that is credible as the larger cd is 20 and smaller bc 10 which make out that it is half of the other Quad and the marking on the edge makes clear us that it is equal whatever the drawing is.
Step-by-step explanation:
BC=2CD
10x=20
x=10/20
x=1/2
if u want to find the other angle then it is 2 times of the smaller quad that will be:
AG=FE
15=2(15)=30
AB=ED
9=2(9)=18
GC=FC
13=2(13)=26
Ann 's car can go 132 miles on 4 gallons of gas. During a drive last weekend, Ann used 5 gallons of gas. How far did she drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ann drove last weekend instead of how much gas she used.
Answers
Answer:
Ann traveled 165 miles on 5 gallons of gas
Step-by-step explanation:
First we must know how many miles are in a gallon (in this situation). Last weekend Ann drove 132 miles with 4 gallons of gas, we can divide to find out how many miles she drove on 1 gallon. 132/4 = 33. This means Ann drove 33 miles on 1 gallon of gas. To get your answer, simply multiply 5 and 33. 5 times 33 = 165.
A birthday celebration meal is $47.40 including tax, but not the tip. Find the total cost if a 15% tip is added to the cost of the meal.
th
The total cost is $
Answers
Answer:
$54.51
Step-by-step explanation:
A shipment of 60 inexpensive digital watches, including 9 that are defective,is sent to a department store.The receiving department select's 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found defective.What is the probability that the shipment will be rejected?
Answers
Answer: 0.627 or 62.7 %
Step-by-step explanation:
The probability that shipment will be rejected P(rejected) = 1- probability that shipment will be accepted.
P(rejected)= 1-P(accepted)
P(accepted) is equal to probability when all 10 watches are not defective.
The probability that 1st one randomly selected watches are not defective is 51/60 (51 watches are not defective and 9 are defective)
The probability that 2-nd one randomly selected watches are not defective is 50/59 ( because the total number of the watches now is 1 unit less 60-1=59, and the total number of not defective watches is 1 unit less 51-1=50 units)
The probability that 3rd one randomly selected watches are not defective is 49/58 (49 watches are not defective total number of watches is 58)
Similarly P(4th)= 48/57 P(5th)=47/56 P(6th)=46/55 P(7th)=45/54
P(8th)=44/53 P(9th)=43/52 P(10th)=42/51
So P(accepted)= P(1st)*P(2nd)*P(3rd)*P(4th)*P(5th)*P(6th)*P(7th)*P(8th)*P(9th)*P(10th)=
=51*50*49*48*47*46*45*44*43*42/(60*59*58*57*56*55*54*53*52*51)=
= approx= 0.373
So P(rejected)=1-0.373=0.627
Fourteen is 6 less a number (n). Which equation shows this relationship?
Answers
Answer:
14 = n - 6
Step-by-step explanation:
"Is" indicates equal to. "Less" means subtract.
The equation that shows this relationship would be; 14 = n - 6.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1.
The standard form of a linear equation is of the form Ax + B = 0.
We have been given a statement "Fourteen is 6 less a number (n)."
So here, "Is" indicates equal to sign. "Less" means subtract.
The equation form would be;
14 = n - 6
The equation that shows this relationship would be; 14 = n - 6.
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Why is 4 + (−3) equal to 1?
Because it is 3 units to the right of 4 on a horizontal number line
Because it is 3 units to the left of 4 on a horizontal number line
Because it is 3 units to the right of 0 on a horizontal number line
Because it is 3 units to the left of 0 on a horizontal number line
Answers
Answer:
2nd option
Step-by-step explanation:
4 + (-3) = 1 because the signs mismatch, something cannot be both positive or negative. When the signs are the same, whether it be both positive or both negative, the answer will always be positive, while if the signs are mismatching the answer will always be negative.
Hope I helped!