\(\text{Let the number be x,}\\\\~~~~~~4x =x+18\\\\\implies 4x -x = 18\\\\\implies 3x = 18\\\\\implies x = \dfrac{18} 3\\\\\implies x = 6.\\\\\text{The number is 6.}\)
Answer:
6
Step-by-step explanation:
Let the number be " x ".
Four times a number,
4*x = 4x
Number increased by 18,
x + 18
Four times a number is equal to the number increased by 18,
4x = x + 18
Step 1 : Subtract x on both sides
4x - x = 18
3x = 18
Step 2 : Divide 3 on both sides
x = 18/3
x = 6
Hence,
the number is 6.
Mr. Lewis is 63 years old. He wants to take out a five-year level-term life insurance
policy with a face value $700,000. The monthly premium is $72.
2. If he dies after paying for the policy for 24 months, how much will the insurance
company pay his beneficiaries?
The amount insurance company will pay is $700000.
We are given that
Age of Mr. lewis= 63
Policy value= $700,000
Now,
If Mr. Lewis dies after paying for the policy for 24 months, he would have paid a total of 24 * $72 = $1728 in premiums. Since he has a five-year level-term life insurance policy with a face value of $700,000, his beneficiaries would receive the full face value of the policy if he dies within the five-year term.
Therefore, by algebra the answer will be $700000.
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Could someone help me out? I don't get it
Triangle ABC is a right triangle.
B
What is the length of AC?
20
Ο Ο Ο Ο
21
40
58
Please answer immediately I beg.
A pyramid and a cone have the same base area and height. The volume
of the pyramid is 175m³. What is the volume of the one? Explain your answer.
The volume of cone is 175 m³
Firstly,
Volume of Pyramid.
The volume (V) of a pyramid is
V = ⅓Ah
Data:
V = 175m³
Calculation:
175 = ⅓× A× h
Ah = 175*3
Ah = 525m³
Secondly,
The volume (V) of a cone is
V = ⅓Ah
Data:
Ah = 525 m³
Calculation:
V = ⅓ A× h
V = 175 m³
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2x + 4y = 14 and 3x – 4y = -39 solve by elimination
Please anyone help every time I post a question no one helps please help me.
Answer: x=-5 and y=6
Step-by-step explanation: i hope i did it right tell if i didnt
Aubree went shopping at her favorite store, Target. She bought 3 shirts and a pair of jeans that cost $28. She spent a total of $88 on her purchase. How much does each shirt cost?
Answer:
88.00 and subtract 28 and the 3 shirts were
Step-by-step explanation:
answer 60
\Look at the two equations:
-3x + 6 = 21
-3x + 6 < 21
Which statement best describes the process used to solve the equations?
In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality.
In both cases, divide by –3 on both sides, but reverse the inequality sign when doing that for the inequality.
The process is exactly the same for solving the equation and solving the inequality.
The process for solving the equation is entirely different from solving the inequality.
The statement "In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality" best describes the process used to solve the equations.
In the equation -3x + 6 = 21, to isolate the variable x, we subtract 6 from both sides of the equation, which yields -3x = 15. Then, we divide both sides by -3 to solve for x, resulting in x = -5. This process is applicable to equations where we aim to find the exact value of the variable.
Similarly, in the inequality -3x + 6 < 21, we want to find the range of values for x that satisfy the inequality. By subtracting 6 from both sides, we obtain -3x < 15.
However, since we performed the same operation on both sides of the inequality, the direction of the inequality sign remains the same.
Thus, the correct inequality is -3x < 15. To isolate x, we divide both sides by -3. However, since we reversed the inequality sign, we must also reverse it again, resulting in x > -5.
This process allows us to determine the range of values for x that satisfy the inequality.
Therefore, the statement accurately describes the process for solving both the equation and the inequality, highlighting the significance of reversing the inequality sign when manipulating inequalities.
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You deposit $5000 in an account earning 5% interest compounded continuously. How much will you have in the account in 5 years? Round to the nearest cent.
Find the product. 8 4²/7 × ₁5 15
Answer: 519 120
Step-by-step explanation:
84*84=7056
7056/7=1008
1008*515=519 120
AC || BD||AB||CD and AC | CD
Answer:
Ac
i dont know i need points
so hope it helps
The difference between the supplement of an angle and twice its complement is 28°, find the measure of the supplement of the angle.
Answer:
152°
Step-by-step explanation:
Supplementary angles are two angles that sum to 180°
Complementary angles are two angles that sum to 90°
Let x° = the angle
⇒ Supplement of the angle = 180° - x°
⇒ Complement of the angle = 90° - x°
The difference between the supplement of an angle and twice its complement is 28°:
⇒ (180 - x)° - 2(90 - x)° = 28°
⇒ 180 °- x° - 180° + 2x° = 28°
⇒ x = 28°
Therefore, the measure of the supplement of 28° is:
180° - 28° = 152°
By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0
By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.
To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.
Let's start by graphing the constraints:
1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.
2. Plot the line -x + 3y = 6 using a similar process.
3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.
Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.
Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.
Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.
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i need help
can you look over this picture and see what the answer is
Answer:
AC = 12
Step-by-step explanation:
If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore
ΔABC is similar to ΔADE.
The sides of smaller triangle are in proportion with sides of bigger triangle.
Therefore we have the equation:
AC/AE = AB/AD
Substitute the given numbers:
x/x+15 =8/18
18x= 8(x+15)
18x = 8x+120
10x = 120
x = 12
AC=12
Natalie is trying to pick out an outfit for the first day of school. She can choose from 7 pairs of pants, 2 t-shirts, and 2 pairs of shoes. How many different outfits does Natalie have to choose from?
Answer:
Shirt A, Skirt A, Shoe A
Shirt A, Skirt A, Shoe B
Shirt A, Skirt B, Shoe A
Shirt A, Skirt B, Shoe B
Shirt A, Skirt C, Shoe A
Shirt A, Skirt C, Shoe B
The number of ways Natalie has to choose outfits for her first day school is 28 ways.
What is the Permutations?Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.
Given that, Natalie is trying to pick out an outfit for the first day of school. She can choose from 7 pairs of pants, 2 t-shirts, and 2 pairs of shoes.
Let 7 pairs of pants be P1, P2, P3, P4, P5, P6 and P7.
Let 2 t-shirts be T1 and T2
Let 2 pairs of shoes be S1 and S2
Now,
1) P1, T1, S1
2) P1, T2, S2
3) P2, T1, S1
4) P2, T2, S2
5) P3, T1, S1
6) P3, T2, S2
7) P4, T1, S1
8) P4, T2, S2
9) P5, T1, S1
10) P5, T2, S2
11) P6, T1, S1
12) P6, T2, S2
13) P7, T1, S1
14) P7, T2, S2
15) P1, T1, S2
16) P1, T2, S1
17) P2, T1, S2
18) P2, T2, S1
19) P3, T1, S2
20) P3, T2, S1
21) P4, T1, S2
22) P4, T2, S1
23) P5, T1, S2
24) P5, T2, S1
25) P6, T1, S2
26) P6, T2, S1
27) P7, T1, S2
28) P7, T2, S1
Other way = 7×2×2
= 28 ways
Therefore, the number of ways is 28 ways.
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the nth term in a sequence is tn=5n + 3. Calculate the 12th and 24th terms, t12 and t 24
Answer:
63 and 123-----------------------
Substitute 12 and 24 for n into formula and calculate.
\(t_{12}=5*12+3=60 + 3=63\)\(t_{24}=5*24+3=120 + 3=123\)So, the 12th term is 63 and 24th term is 123.
simplify 3y-10y+y+7y
Answer: y
Step-by-step explanation:
For this, you would just add everything and then tag a y on the end.
3y-10y=-7y
-7y+y= -6y (y is the same thing as 1y)
-6y+7y= 1y which is just y
It is important to understand that you can only do this with like terms. So for example if you were asked to simplify:
5x+2x+3y+5y
the answer would be 7x+8y (you cannot combine x and y)
Hope this helps :)
Answer: y
Step-by-step explanation: I personally like to combine all the +y values first, which is equal to 11y. And then I minus 10y.
in a recent survey 70% of the community favored building a health center in their neighborhood. If 14 citizens are chosen find the probability that 8 of them favor building the health center
The probability of those that favors building the health center is 0.196
What is probability?The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favorable Outcomes/Number of total outcomes.
In a recent survey, 70% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find the probability that exactly 8 of them favor the building of the health center.
According to the scenario, 70% of the community favoured in building a health centre.
Hence , p=0.7.
In order to find the probability, binomial theorem will be used as follows :
= 0.196
Hence, The probability is 0.196
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Which statement is the clearest translation of 4 + 6z = 12.Four plus six, times a number, is twelve.Four, plus six, times, a number, is twelve.Four, plus six times a number, is twelve.Four plus six times a number is twelve.
we have the equation
4 + 6z = 12
Let
z ---> a number
so
The answer is
Four, plus six times a number, is twelve.8. The percentage of the moon's surface that is visible to someone on the Earth varies due to
the time since the previous full moon. The moon passes through a full cycle in 28 days. The
maximum percentage of the moon's surface that is visible from Earth is 50%. Find a function
for the percentage, P, of the surface that is visible as a function of the number of days, t,
since the previous full moon.
A functiοn fοr the percentage is P = 25cοs(π/14t) + 25.
What is a functiοn?In the case οf a functiοn frοm οne set tο the οther, each element οf X receives exactly οne element οf Y. The functiοn's dοmain and cοdοmain are respectively referred tο as the sets X and Y as a whοle. Functiοns were first used tο describe the idealized relatiοnship between twο varying quantities.
Here, we have
Given:
Tο find the percentage οf the full mοοn, we can write an equatiοn in the fοrm P = Acοs(Bt) + C
After 14 days, the percentage οf the mοοn is zerο
A = (max-min)/2 = 50/2 = 25
The periοd = 28 days
P = Acοs(BT = t) + c
B = 2π/periοd = 2π/28 = π/14
c = min + A = 0 + 25 = 25
We get,
P = 25cοs(π/14t) + 25,
Here, p is the percentage οf the mοοn visible cοmpared tο the previοus full mοοn.
Hence, a functiοn fοr the percentage is P = 25cοs(π/14t) + 25.
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3 to the power of negative 2 is equivalent to what 1/9 1/6 -6 -9
Answer:
1/9
Step-by-step explanation:
You have 3 to the power of -2.You must take that and turn it into 1/3 to the power of 2, so now the exponent is no longer negative and therefore can be solved.After solving the exponent, you are left with 1/9 as your answer.how do i convert 4.13636 to a fraction
Answer:
103409 / 25000
Step-by-step explanation:
hope this helps
Classify Tas rational or irrational and explain why.А.Rational because it equals 3.14B.Rational because it equals 22CCSD Grade 8UC.Irrational because it has its own symbolCourseMath 01Teacher PrinceDIrrational because it is not equal to any terminating or repeating decimal
Rational numbers are those that can be expressed as fractions or ratios between two whole numbers while irrational numbers are those that cannot be expressed as a fraction or ratio between two integers.
Pi is an irrational number with infinite non repeating decimal values.
It cannot be expressed as a fraction.
A dishwasher uses 65 gallons of water to wash 5 loads of dishes. How many gallons of water would be used to wash 14 loads?
With the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.
What is a linear equation?A mathematical expression for an equation with just one variable is a linear equation in one variable.A and B can be any two real numbers, while x is a confusing variable with only one potential value. This equation is Ax + B = 0.An illustration of a linear equation with only one variable is 9x + 78 = 18.So, gallons of water used to wash 14 loads are:
Gallons of water=65×14/5Gallons of water= 910/5 gallonsGallons of water= 182 gallonsTherefore, with the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.
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jason drove for three hours at an average speed of 55 miles per hour how far did he go?
Answer: 165 miles
Step-by-step explanation: In order to figure out the answer, you must do 55 x 3 because he drove for 3 hours at 55 mph so you could break it up and go 50 x 3 to equal 150 and 5 x 3 to equal 15 and add those to get 165.
Answer:
The answer is 165miles
Step-by-step explanation:
\(distance = speed \times time\)
d=55×3
d=165 miles
Use distributive property for 3.2= 4/5(b - 5)
If log 5 = k, find log 250 in terms of k.
log 250 in terms of k is equal to 3k + log 2.
To log 250 in terms of k, we can use logarithmic properties to simplify the expression.
First, we can express 250 as a power of 5 since we have log 5 = k.
250 = 5 × 5 × 5 × 2
Now, we can rewrite 250 as (5³) × 2.
Using logarithmic properties, we can break down the expression log 250:
log 250 = log ((5³) × 2)
Next, we can apply the properties of logarithms, specifically the product rule, which states that log (a × b) = log a + log b.
Applying the product rule to our expression:
log 250 = log (5³) + log 2
Since 5³ can be expressed as 125, we can substitute this value into the expression:
log 250 = log 125 + log 2
Now, we can use another logarithmic property, the power rule, which states that log (\(a^b\)) = b × log a.
Applying the power rule to log 125:
log 125 = 3 × log 5
We know that log 5 is equal to k, so we can substitute k into the expression:
log 125 = 3 × k
Finally, we substitute this result back into the expression for log 250:
log 250 = 3 × k + log 2
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The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards. Find the average change in field position on each run. Enter the average change as a simplified mixed number.
The average change as a simplified mixed number would be,
⇒ 1 3/4
A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
We have to given that;
The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards.
Now, The average change as a simplified mixed number would be,
⇒ (12 1/4) / 7
⇒ (49/4) / 7
⇒ (49 / 4×7)
⇒ 7/4
⇒ 1 3/4
Therefore, The average change is,
⇒ 1 3/4
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help meeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
33
Step-by-step explanation:
you are scamming everyone. why?
PLEASE HELP Find the area SHOW YOUR WORK
Step-by-step explanation:
I don't want the place but the fishy on me
Got a lot to be but the fishy on me
Got a lot to do, I'll slap your knee
Fishy on me, fishy on me
I don't want the place but the fishy on me
Got a lot to be but I'll slap your knee
Fishy 2B but I don't know he
Fishy on me if the fishy 2B
I don't know what the place but the fishy on me
Fishy on me, fishy on me
I don't know the place but the fishy on me
2HB I'll slap your knee
I'll slap your knee
Fishy on me, a place to be
I don't know what the place but the fishy on me
Fishy on me, I'll slap your knee. fishhhyyyyyyyyyyyyyyyyyyyyyyyyyyy
please help! Evaluate the following function.
f(x) = -x – 8 for f(-1)
Answer:
x - 8
Step-by-step explanation:
Plug in -1 for x and you get x - 8