Answer:
8 seed packets
Step-by-step explanation:
you just need to have half the amount of seed packets of the number of tomato plants grown
½ cup of sugar, and I only have a ¼ cup scoop and a ⅛ cup scoop. I need at least two different ways I can get ½ cup
2 ways to get to 1/2
Way 1:
Use the 1/4 scoop 2 times
1/4 + 1/4 =2/4
2/4 simplified is 1/2
Way 2:
Use the 1/8 scoop 4 titmes
1/8+1/8+1/8+1/8=4/8
4/8 simplified is 1/2
Hope this helps!
2nd grade question. What is the value of 62 tens?
Answer:
$620
Step-by-step explanation:
Its multiplication! so. You do
62×10=620
A camp counselor buys lunch for her campers at a nearby fast food restaurant. On
Monday, she purchased 5 hamburger meals and 6 chicken nugget meals, for a total of
$39. On Thursday, she purchased 9 hamburger meals and 2 chicken nugget meals,
for a total of $35.
Which pair of equations could be used to determine the cost of each type of meal?
Answer:
correct choice is the last one
Step-by-step explanation:
let h = cost of 1 hamburger meal
let c = cost of 1 chicken nugget meal
5h + 6c = 39
9h + 2c = 35
Please do not send links you will be reported and removed. What is this answer in feet please
Answer:
16.2 feet
Step-by-step explanation:
Reference angle = 62°
Opposite = x
Adjacent = 8.6
Apply trigonometric function, TOA:
Tan 62 = Opp/Adj
Tan 62 = x/8.6
8.6 × Tan 62 = x
16.1742476 = x
x = 16.2 ft (nearest tenth)
which of the four triangles efG
At a baseball game, a vender sold a combined total of 183 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the
number of sodas and the number of hot dogs sold.
Answer:
61 hot dogs
122 sodas
Step-by-step explanation:
x+x2=183
3x=183
183÷3=
61
A small block is pulled along a rough horizontal surface at a constant speed 2 ms by a constant force. This force as magnitude 25N and acts at an angle of 30 degrees to the horizontal. Calculate the work done by the force in 10 seconds.
The work done by the force in 10 seconds is 250 Joules
Workdone definition?This is the product of force and distance covered by a body
The formula for calculating the workdone is expressed as:
W = Fdsin thetaFrom the information given
Workdone = 25* (2*10) sin 30
Workdone = 500(0.5)
Workdone = 250 Joules
Hence the work done by the force in 10 seconds is 250 Joules
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What is the area of a right triangle with side lengths 7,24, and 25?
Answer:
Area = 84 square unit
Step-by-step explanation:
Given the triangle is right angle triangle. According to Pythagoras theorem, the largest amount the sides is the hypotenuse. and the others are base and height respectively.
Therefore, hypotenuse = 25, base = 7, height = 24
\(Area \ of \ triangle = \frac{1}{2} \times \ base \times height\)
\(= \frac{1}{2} \times 7 \times 24 \\\\= 7 \times 12 \\\\= 84 \ square \ unit\)
Answer:
A = 84 units^ 2
Step-by-step explanation:
The longest side length is also the hypotenuse of this right triangle: 25. Therefore the leg lengths must be 7 and 24. The legs are perpendicular to one another. If we let the base be 7 and the height 24, then the area of the triangle is A = (1/2)(base)(height), or
A = (1/2)(7)(24) = 84 units^ 2
Write an equation of a line that passes through the point (-4, 5) and have a slope of 1/2
Answer:
y = 1/2x + 7
Step-by-step explanation:
y = mx+ b
y = 5
x = -4
5 = 1/2(-4) + b
5 = -2 + b
7 = b
A loan of $12,651 was repaid at the end of 8 months What size repayment check (principal and interest) was written, if a 7.5% annual rate of interest was charged?The amount of the repayment check was $(Round to two decimal places)
We have a loan with a principal of $12,651.
It is paid in 8 monthly payments.
The annual rate of interest is 7.5%.
We then have to calculate the amount of each monthly payment.
This can be calculated using the annuity formula with subperiods.
The formula is:
\(M=\frac{P\cdot\frac{r}{m}}{1-(1+\frac{r}{m})^{n\cdot m}}\)For this problem we have a principal P = 12,651, an interest rate r = 0.075, the subperiods are months so m = 12, and the number of payments is n*m = 8.
We can replace and solve as:
\(\begin{gathered} M=\frac{12651\cdot\frac{0.075}{12}}{1-(1+\frac{0.075}{12})^{-8}} \\ M=\frac{12651\cdot0.00625}{1-(1+0.00625)^{-8}} \\ M=\frac{79.06875}{1-(1.00625)^{-8}} \\ M\approx\frac{79.06875}{1-0.95138} \\ M\approx\frac{79.06875}{0.04862} \\ M\approx1626.26 \end{gathered}\)Answer: the monthly payment in each check was $1626.26.
Figure A
Figure B
Figure C
3 ft
3 ft
Sf
3 ft
3 ft
5 ft
5 ft
3 ft
3 ft
Sft
3 ft
3 ft
Х
?.
None of the figures
(a) Which figures are rectangles?
Mark all that apply.
Figure A Figure B Figure C
(b) Which figures are squares?
Mark all that apply.
Figure A Figure B Figure C
(c) Which figures are parallelograms?
Mark all that apply.
Figure A
Figure B
Figure C
None of the figures
None of the figures
Answer:
a) Figure B and Figure C
b) Figure C
c) Figure A, Figure B, and Figure C
Step-by-step explanation:
a) Rectangles are shapes that have four sides, and four right angels. Right angles are angles that are 90 degrees.
The only shapes with four sides AND four right angles are Figure C and Figure B.
b) Squares are shapes with four EQUAL sides and four right angles. The only shape with four equal sides and four right angles is Figure C.
c) Parallelograms are any shapes with four sides. All of these shapes have four sides.
Hope this helps!
The foot, the pound, and the gallon are all example of ______ units. This system of measurement was first devised in England
what is the triangle numbers from 1 and 100
Answer:
1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91
Step-by-step explanation:
Answer:
The triangular numbers up to 100 are 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91.
Step-by-step explanation:
Shouldn't it continue? Perfect Numbers, These are the numbers which equal the sum of all of their smaller factors seems simple, really. They are few and far between -- in fact, nobody knows how many there are. Only 47 perfect numbers are currently known- doesn't that take your breath away? Please Brainlist.
Suppose a population is of size N is 1,000,000. Compute the correction factor for the SE of the sample mean, when the sample size, n, is equal to 1,000; 10,000; and 100,000.
Answer:
90081???
Step-by-step explanation:
are 4xy^3 and -5x^3 like terms
Two dice are rolled. Determine the probability of the following. ("Doubles" means both dice show the same number.)
Rolling an even number or doubles
The probability of the Doubles" means both dice show the same number is 36.
What is probability?When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
The probabilities of these two outcomes must be added in order to get the likelihood of rolling an even number or doubles, but since we have already tallied those outcomes twice, the probability of rolling both doubles and an even number must be subtracted. The probability of rolling doubles and an even number is 1/36 since rolling two sixes is the only method to get a double and an even number.
The likelihood of rolling an even number or doubles is thus:
The formula for P(even number or doubles) is P(even number) = P(even number) + P(doubles) - P(even number and doubles) = 1/2 + 1/6 - 1/36 = 19/36.
The odds of rolling an even number or two doubles are 19/36.
Therefore, the probability of the Doubles" means both dice show the same number is 36.
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You are given the great circle of a sphere is a length of 25 miles. What is the volume of the sphere
The volume of the sphere is approximately 3431.82 cubic miles.
To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.
In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.
C = 2πr
60 = 2πr
Divide both sides of the equation by 2π:
r = 60 / (2π)
r = 30 / π
Now that we have the radius, we can use the formula for the volume of a sphere:
V = (4/3)πr³
V = (4/3)π(30/π)³
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)(27000/π²)
V = (4/3)(27000/9.87) (approximating π to 3.14)
V ≈ 3431.82 cubic miles
Therefore, the volume of the sphere is approximately 3431.82 cubic miles.
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Question
You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?
Part A: Choose one value for a and one value for b that would make both of the following inequalities true:
a < b and |b| < |a|
The correct answer is, by choosing a = -2 and b = 1, we satisfy both inequalities .a < b:
To make both inequalities true, we need to select values for a and b that satisfy the given conditions:
a < b: This inequality means that the value of a should be less than the value of b.
|b| < |a|: This inequality means that the absolute value of b should be less than the absolute value of a.
One possible solution that satisfies both conditions is:
a = -2
b = 1
With these values, we have:
-2 < 1 (a < b)
|-1| < |2| (|b| < |a|)
Therefore, by choosing a = -2 and b = 1, we satisfy both inequalities.a < b:
This inequality states that the value of a should be less than the value of b. In other words, a needs to be positioned to the left of b on the number line. To satisfy this condition, we can choose a to be any number that is less than b. In the example I provided, a = -2 and b = 1, we can see that -2 is indeed less than 1, fulfilling the requirement.
|b| < |a|:
This inequality involves the absolute values of a and b. The absolute value of a number is its distance from zero on the number line, always resulting in a non-negative value. The inequality states that the absolute value of b should be less than the absolute value of a. To satisfy this condition, we can choose b to be any number with a smaller absolute value than a. In the example I provided, |1| is less than |(-2)|, as 1 is closer to zero than -2, fulfilling the requirement.
By selecting a = -2 and b = 1, we satisfy both inequalities: a < b and |b| < |a|. The specific values of -2 and 1 were chosen as an example, but there are multiple other values that would also satisfy the given conditions. The important aspect is that a is indeed less than b, and the absolute value of b is smaller than the absolute value of a.
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Enter the unknown value that makes this statement true:
20% of _ is 40.
Answer:
50
Step-by-step explanation:
0.8 * x = 40
40/0.8=50
Your friend decided to join a bmx course so he can race with his friends. The
courses charges $7 per race after the membership fee. Your friend has raced 28
times and paid a total of $210, including the membership fee. What is the
membership fee? How much would he pay if he races 39 times? *
Answer:
He would pay $287 if he races 39 times
Thus, the membership fee is $14.
Step-by-step explanation:
Linear Modeling
The situation described in the problem can be modeled as the equation of a line which has the form:
\(y=ax+b\)
Where y is the cost of the course, x is the number of races, a is the cost per race, and b is the membership fee.
We know the course charges $7 per race, so a=7. Since your friend has raced x=28 times and paid y=210, we can find the value of b:
\(210=7(28)+b\)
Operating:
\(210=196+b\)
b=14
Thus, the membership fee is $14.
The linear model is now:
\(y=7x+14\)
If he races x=39 times, your friend would pay:
\(y=7(39)+14=287\)
y=287
He would pay $287 if he races 39 times
Santos takes the train into the city five days a week for work. For one work week, he kept track of how many minutes long each train ride was: 48, 51, 48, 48, 50
Calculate the mean, median, range, and midrange of the train ride times for the week.
The mean, median and range of the given data are respectively; 49, 48 and 3.
How to calculate mean, median and range?Formula for mean is;
Mean = Total sum/sample size
Total sum = 48 + 51 + 48 + 48 + 50
Total sum = 245
Sample size = 5
Mean = 245/5
Mean = 49
To get the median, we arrange in ascending order and pick the mid term.
48, 48, 48, 50, 51
Median is mid term which is 48.
Range is difference between highest and lowest term.
Range = 51 - 48
Range = 3
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Finding horizontal and vertical asymptotes of a rational function: Quadratic numerator or denominator
Given the function:
\(f(x)=\frac{2x^2+10x+12}{-2x+1}\)You know that it is a Rational Function because it has the following form:
\(f(x)=\frac{p(x)}{q(x)}\)Where the numerator and the denominator are polynomials and:
\(q(x)\ne0\)By definition, an Asymptote is a line that the function approaches but it does not touch it and it does not intersect.
To find the Vertical Asymptote, you can follow these steps:
1. Take the denominator of the function and make it equal to zero.
2. Solve for "x".
Then, the Vertical Asymptote is:
\(\begin{gathered} -2x+1=0 \\ -2x=-1 \\ \\ x=\frac{-1}{-2} \\ \\ x=\frac{1}{2} \end{gathered}\)To find the Horizontal Asymptote, you can follow these steps:
1. Identify the numerator of the function:
\(2x^2+10x+12\)2. Identify its denominator:
\(-2x+1\)3. Identify the degree of the numerator and the degree of the denominator:
- Since the highest exponent of the numerator is 2:
\(Degree=2\)- Since the highest exponent of the denominator is 1:
\(Degree\colon1\)4. Since the degree of the numerator is greater than the degree of the denominator by 1, you can determine that there is no Horizontal Asymptote.
Then, the steps to graph the function are:
• Draw the Vertical Asymptote on the Coordinate Plane (this must be a dotted line or a dashed line).
,• Find the x-intercept as follows:
Substitute this value of "y" into the function and solve for "x":
\(f(x)=y=0\)Then:
\(\begin{gathered} (0)(-2x+1)=2x^2+10x+12 \\ 0=2x^2+10x+12 \end{gathered}\)Notice that you need to use the Quadratic Formula to find the x-values:
\(x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)Then:
\(\begin{gathered} x=\frac{-10\pm\sqrt[]{(10)^2-(4)(2)(12)}}{2\cdot2} \\ \\ x_1=-2 \\ x_2=-3 \end{gathered}\)Now you know the x-intercepts.
• Find the y-intercept by substituting this value of "x" into the function and evaluating:
\(x=0\)Then, you get:
\(\begin{gathered} y=\frac{2(0)^2^{}+10(0)+12}{-2(0)+1} \\ \\ y=\frac{12}{1} \\ \\ y=12 \end{gathered}\)• Now you can find different points on the function by substituting several values of "x" and finding the corresponding y-values.
Then:
\(\text{For }x=4\rightarrow y=\frac{2(4)^2+10(4)+12}{-2(4)+1}\approx-12\)\(\text{For }x=5\rightarrow y=\frac{2(5)^2+10(5)+12}{-2(5)+1}\approx-12.44\)\(\text{For }x=10\rightarrow y=\frac{2(10)^2+10(10)+12}{-2(10)+1}\approx-16.42\)\(\text{For }x=20\rightarrow y=\frac{2(20)^2+10(20)+12}{-2(20)+1}\approx-25.95\)\(\text{For }x=-10\rightarrow y=\frac{2(-10)^2+10(-10)+12}{-2(-10)+1}\approx5.33\)\(\text{For }x=-20\rightarrow y=\frac{2(-20)^2+10(-20)+12}{-2(-20)+1}\approx14.93\)• Finally, plot the points on the Coordinate Plane and graph the function by connecting the points (remember that they must be connected with curves).
Therefore, the answer is (The dashed line is the Vertical Asymptote. There is no Horizontal Asymptote):
Solve the inequalities and compare 2x+6<10
Answer:
x<2
Step-by-step explanation:
2x+6<10
2x<10-6
2x<4
x<4/2
x<2
In a survey on internet usage , it was found that out of a total of 27 people, 16 use ADSL lines, 15 use wireless internet and 3 use neither of the two . what is the probability that a person chosen at random uses both internet connections
The probability that a person chosen at random uses both internet connections is 1/9
Total number of people = 27
Number of people who use ADSL lines = 16
Number of people who use wireless internet = 15
Number of people who use neither of the two = 3
Let the number of people who use only ADSL lines and wireless internet be denoted by A and B respectively.
Then A + B + A∩B + 3 must be equal to 27
A + B + A∩B = 24
further, we can see that
(A + A∩B) = 16
B + 16 = 24
B = 8
Also, (B + A∩B) = 15
8+ A∩B = 15
A∩B = 7
Thus, the number of people who use both internet connections = 7
Now, P(A∩B) = 7/27
= 1/9
Hence, probability that a person chosen at random uses both internet connections is 1/9.
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if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
A theater production charges $21 for adult tickets and $15 for student tickets. If the production sold 102 tickets for its opening night and made $1,932 in ticket sales, how many of each type of tickets were sold?
Answer:
67 adult tickets
35 student tickets
how do you multiply a fraction with a mixed number
Answer: Covert the mixed number to an improper fraction for them to be too simple fractions and multiply them.
Step-by-step explanation:
By multiply fraction by a mixed fraction you will have to rewrite the mixed number as an improper fraction.
For example ,
1 1/2 is a mixed fraction. If you convert it to improper fraction, you will get 3/2 then you multiply.
How would one convert 6 lb to ounces (16 oz = 1 lb)?
O A. 6 lb
16 oz
1 lb
O B.
6 lb
16 OZ
O C. 6 lb x 16 oz
O D. 61bx
1 lb
16 oz
Answer:
6 * 16
Step-by-step explanation:
One pound is 16oz.
Multiply the number of pounds by 16.
6 * 16 = 96
6 pounds is 96oz.
Hope this helps.
Answer:6lb x 16oz/1lb
Step-by-step explanation:just took the test
Shirley's water bottle is half full. She pours it into another bottle that is
one-third full, and it fills that bottle. If the second bottle holds 2 quarts,
how much did the first bottle hold? *
pls be right, im on rush time guys
Answer:
Step-by-step explanation:
She poured ⅔×2 = 4/3 qt into the second bottle.
Her bottle holds 2×4/3 = 8/3 qt
A pizza delivery company classifies its customers by gender and location of residence. The research department has gathered data from a random sample of 1664 customers. The data is summarized in the table below.
Gender and Residence of Customers
Males Females
Apartment 206 149
Dorm 295 276
With Parent(s) 55 68
Sorority/Fraternity House 132 204
Other 180 99
What is the probability that a customer is female and lives in a dorm or is female and lives in 'Other'? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answer: 0.2254
Step-by-step explanation:
Let E= Event of getting of female lives in a dorm.
F = Event of getting of female lives in a 'Other'.
From the table , n(E) = 276 and n(F) = 99
and n(E∩F) = 0 [E and F are Mutually exclusive]
Now, n(E∪F)= n(E) + n(F) - n(E∩F)
= 276+99-0
= 375
also, n(S) =1664 (Sample size)
Required probability : \(P(E\cup F)=\dfrac{n(E\cup F)}{n(S)}\)
\(=\dfrac{375}{1664}\approx0.2254\)
Hence, the probability that a customer is female and lives in a dorm or is female and lives in 'Other' = 0.2254