Cost of 40 pounds of apples at David's apple is $50.
Cost of 40 pounds of apples at Pam's orchards is $37.5.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Anna want to pick 40 pounds of apples,
Now, At David's apple orchard cost of first 10 pounds = $2 per pound
And, Each additional pounds $1 per pound.
So, Cost of 40 pounds of apples at David's apple is calculated as;
Cost of first 10 pounds = 10 * 2 = $20
And, Cost of 30 pounds of additional apples = 30 * 1 = $30
Hence, Cost of 40 pounds of apples at David's apple = $20 + $30
= $50
At Pam's orchards first cost of first 10 pounds = $1.50
And, Each additional pounds $0.75 per pound.
So, Cost of 40 pounds of apples at Pam's orchards is calculated as;
Cost of first 10 pounds = 10 * 1.50 = $15
And, Cost of 30 pounds of additional apples = 30 * 0.75 = $22.5
Hence, Cost of 40 pounds of apples at Pam's orchards = $15 + $22.5
= $37.5
Therefore,
Cost of 40 pounds of apples at David's apple is $50.
Cost of 40 pounds of apples at Pam's orchards is $37.5.
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A physical therapy facility is building a new pool that is 60 feet long and 6 feet deep. They have ordered enough tile for a 160-foot-long border around the edge. How wide should the pool be to ensure that all tiles are used?
20 feet wide
1) Let's sketch out this pool:
2) This is a problem that deals with perimeter, so we can write out:
2p = 60 + 60 + x +x Since we have 160 foot as the perimeter
160 = 60 +60 +2x
160 = 120 + 2x Subtract 120 from both sides
160 -120 = 2x
40 = 2x Divide both sides by 2
x = 20
3) Hence, the pool must be 20 feet wide
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Answer:
I agree well said.you big brain
Write the equation of the line that goes through the points A(3,-2) and B(5,4)
Answer:
y = 3x - 11
Step-by-step explanation:
(3, -2) and (5, 4)
m = 4+2/5-3
m = 6/2
m = 3
y = 3x + b
4 = 3(5) + b
4 = 15 + b
b = -11
y = 3x - 11
Determine how many liters a right circular cylindrical tank holds if it is 6 m long and 13 m in diameter.
The tank holds approximately 994,040 liters.
To solve this problem
The volume of a right circular cylinder is given by the formula:
V = πr^2h
Where
r is the radius of the cylinderh is its height π is a mathematical constant approximately equal to 3.14159The cylinder's diameter is specified as 13 m, hence the radius may be computed using the formula: r = d/2 = 13/2 = 6.5 m
The cylinder is described as having a 6 m length.
These values are substituted into the volume calculation to produce the following result:
V = π(6.5)^2(6)
V ≈ 994.04 cubic meters
Since 1 cubic meter equals 1000 liters, we can convert the volume to liters by multiplying by 1000.
V = 994.04 cubic meters x 1000 liters/cubic meter
V = 994,040 liters
Therefore, the tank holds approximately 994,040 liters.
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A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool.
Each minute, the faucet allows 10 3/4 gallons of water to enter the pool, and the drain allows 12 1/3 gallons to leave the pool.
What is the change in the amount of water in the pool after 1 1/2 minutes?
Enter your answer as a simplified mixed number by filling in the boxes.
After 1 1/2 minutes, the amount of change in the amount of water in the pool would be -3 5/8.
In order to determine the change in the amount of water in the pool after 1 1/2 minutes, the first step is to determine the change in the amount of pool in the water in 1 minute .
The change in the amount of pool in the water in 1 minute can be determine by subtracting the amount of water that enters the pool in one minute from the amount of water that drains from the pool in one minute.
\(10\frac{3}{4}\) - \(12\frac{1}{3}\)
\(-2\frac{9-4}{12}\)
\(-2\frac{5}{12}\)
This means that the amount of water in a pool declines by 2 5/12 every minute.
The second step is to determine the change in the amount of water in 11/2
Change in 1 1/2 minute = change in water in one minute x \(1\frac{1}{2}\)
\(1\frac{1}{2}\) x \(-2\frac{5}{12}\)
\(\frac{3}{2}\) x \(\frac{-29}{12}\) = \(-3\frac{5}{8}\)
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Answer:
The correct answer is -2 \(\frac{3}{8}\)
Step-by-step explanation:
The box and whisker plot shows the recent test scores from WYVA Summit Math 6 class.
A. What is the interquartile range in a box-and-whisker plot?
B. What percent of the students got 80% or higher, which would be a B?
C. Write about Math: Using the interquartile range, explain how well the math class did on this test.
a. It represents the spread of the middle 50% of the data.
b. At least 50% of the students scored between 80 and 86.
c. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
What is interquartile range?How evenly distributed the middle 50% of the data is is determined by the interquartile range. In order to calculate it, the first quartile is subtracted from the third quartile.
A. The interquartile range (IQR) in a box-and-whisker plot is the distance between the first quartile (Q1) and the third quartile (Q3) of the data. It represents the spread of the middle 50% of the data.
B. To determine what percent of the students got 80% or higher, we need to find the upper fence, which is defined as 1.5 times the IQR above Q3. From the box-and-whisker plot, we can see that Q3 is approximately 86 and Q1 is approximately 71. Therefore, the IQR is 86 - 71 = 15. The upper fence is 1.5 * 15 + 86 = 108.5.
Looking at the plot, we can see that there are no data points above 100, so we can safely assume that no students scored above 100%. The highest score is 94, which is within the whiskers of the box-and-whisker plot. Therefore, we know that the percent of students who scored 80% or higher is between the percent of students who scored 80% or higher and the percent of students who scored 94% or higher.
From the plot, we can see that the median is approximately 80 and the third quartile (Q3) is approximately 86. This means that at least 50% of the students scored between 80 and 86. Additionally, we know that the maximum score is 94, so we can say that at least some students scored higher than 86. However, we don't know how many students scored between 86 and 94.
C. Based on the interquartile range, we can say that the middle 50% of the students scored between approximately 71 and 86. This suggests that there is a significant amount of variability in the test scores, as the range is quite wide. Additionally, we know that at least some students scored above 86, but we don't have enough information to determine how many or how high their scores were. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
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5 Signs for science project displays are cut of poster board that measure 1 yard on each side. Each sign is-yard long and-yard wide. How ma signs can be cut from 1 piece of poster board? Wh the area of each sign? Show your work.
Answer:
\(\text{27}\)
Step-by-step explanation:
Given that :
\(\text{Dimension of poster board} = 1 \ \text{yd} \ \text{by} \ 1 \ \text{yd}\)
\(\text{Dimension of each poster board} = \dfrac{1}{3} \ \text{yd} \ \text{by} \ \dfrac{1}{9} \ \text{yd}\)
Number of poster signs that can be cut :
\(\text{Area of poster sign} = \dfrac{1}{3} \times \dfrac{1}{9} = \dfrac{1}{27} \ \text{yard}^2\)
\(\text{Area of poster board} = 1 \ \text{yard}^2\)
Number of poster signs that can be cut :
\(\dfrac{\text{Area of poster board}}{\text{Area of poster sign}}\)
\(1 \ \text{yard}^2\div (\dfrac{1}{27} ) \ \text{yard}^2\)
\(1 \div \dfrac{1}{27}\)
\(1 \times \dfrac{27}{1}\)
\(\bold{= 27 \ poster \ signs}\)
Si una mosca real tiene una longitud de 9mm y su maqueta mide 18cm.cual a q escala se realizo la maqueta
The scale factor used is:
1 centimeter equals half millimiter.
How to find the scale factor?The scale factor tells us how many units in the sculpture represent a real unit.
We know that:
Real length = 9mm
Length in the sculpture = 18cm
Then we have the relation between the lengths:
18cm = 9mm
Dividing both sides by 18 we will get:
1cm = 9mm/18
1cm = 0.5mm
So the scale is 1 centimeter equals half millimiter.
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expand (1+2)^4 using the Pascal Triangle
Answer:
81
Step-by-step explanation:
(1 + 2)⁴
1⁴ + 4(1³ × 2) + 6(1² × 2²) + 4(1 × 2³) + 2⁴
1 + 4(2) + 6(4) + 4(8) + 16
1 + 8 + 24 + 32 + 16
= 81
Question 16 of 25
Use the zeros and the labeled point to write the quadratic function shown in
the graph
30
(1,8)
O A. y=2x2+2x– 12
O B. y=-2 - X+6
O C. y=-272 - 2x + 12
O D. y=x+x-6
SUBMIT
Answer:
x+x-6
Step-by-step explanation:
The correct statements describing the given functions are -
The domain of h⁻¹(x) is the range of h(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y- coordinate of the y-intercept of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given are the functions. It is asked to identify the statements that describe these functions.
The given functions are h(x) and its inverse h⁻¹(x). For the given functions, as we can see in the table, the following statements are true -
The domain of h⁻¹(x) is the range of h(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y- coordinate of the y-intercept of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).Therefore, the correct statements describing the given functions are -
The domain of h⁻¹(x) is the range of h(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y- coordinate of the y-intercept of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).To solve more questions on functions, visit the link below-
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4325 as a product of its prime factors
Answer:
5*5*173=4325
Step-by-step explanation:
please mark brainiest hope it works out for you
Answer:
5²×173
Step-by-step explanation:
4325 as a product of its prime factors
5²×173
Simplify this please.
Answer:
The answer is in the picture I couldn't type it sorry.
Step-by-step explanation:
Asif, Curtly and Barbara share some money.
Asif receives 3/8 of the money.
Barbara receives 1/3 of the money.
What fraction of the money does Curtly receive?
The fraction of money receive by Curtly is 7/24.
What is defined as the fraction?Fractions are defined as an arithmetical value that represents a portion of a whole. A fraction is a fraction or section of any quantity taken from the whole, which can be the certain number, a specific value, or even a thing.Every fraction has a numerator as well as a denominator kept separate by a horizontal bar recognized as the fractional bar.For the given values in question;
Fraction of money received by Asif = 3/8.
Fraction of money received by Barbara = 1/3
The total sum will be 1.
Then, fraction of money received by Curtly is;
1 - 3/8 - 1/3
Taking LCM;
(24 - 8 - 9) /24
7/24
Thus, the fraction of money received by Curtly is 7/24.
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plz plz pls help pls
Answer:
The second choice.
Step-by-step explanation:
Answer:
52 + 4 = 4 + 52Step-by-step explanation:
Hope that will help youplease help i need this asap
Answer:
C. 4x^4√5 + ...
Step-by-step explanation:
For a problem like this, it often saves time to find the leading term of the answer. Here, that tells you the correct answer choice.
The product of the first terms of the binomial factors is ...
\(\sqrt{2x^3}\cdot2\sqrt{10x^5}=2\sqrt{2x^3\cdot10x^5}=2\sqrt{20x^8}=\boxed{4x^4\sqrt{5}}\)
This is sufficient to identify the 3rd choice as the correct one.
KHD M D C M
L
G
7 cm= [?] mm
Answer:
70
Step-by-step explanation:
because u have to mulyiply it by 10 so that is how u get the answer
#4 pleaseeee!!!!!!!!!!!!!!!!!!!!!!!!
Yolanda's credit card has an APR of 16 22% and a billing cycle of 30 days. The table below shows her transactions
with that credit card in the month of November
Amount ($) Transaction
Find Yolanda's finance charge in November using the previous balance method the adjusted balance method, and
the daily balance method. Among those three possible finance charges what is the value of the one which is neither
lowest nor highest?
A.$1253
B.$1159
C.$1205
D.$10.91
Answer:
$11.59
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
I’m kinda stuck on this question, can y’all please help me?
Points J, K and M form a triangle.
In this triangle you are given the angles for JKM (50) and KJM (60)
The 3 inside angles of a triangle need to equal 180.
The third angle JMK would be 180 minus the two given angles:
JMK = 180 - 50 - 60 = 70
JMK = 70 degrees
Someone help me please
Answer:
3
Step-by-step explanation:
If the cube has 54 stickers across its six faces, and each face has the same number of stickers, first we can find the number of stickers in each face by dividing the number of stickers by the number of faces:
\(stickers\ per\ face = number\ of\ stickers / number\ of\ faces\)
\(stickers\ per\ face = 54/6 = 9\)
Each face has 9 stickers.
If each row and column has the same number of stickers, we can find the numbers of rows and columns by finding the square root of the number of stickers in the face:
\(\ number\ of\ rows = \sqrt{9} = 3\)
If we have 3 rows, and each roll has the same number of stickers, the number of stickers per row or column is:
\(stickers\ per\ row = stickers\ per\ face / number\ of\ rows\)
\(stickers\ per\ row = 9/3 = 3\)
plz answer!!!! Ill give brainly to first RIGHT person!!!!!
Answer:
D
Step-by-step explanation:
If it was 2/4, percent is 50% greater than 0, but less than 100
2/4 decimal 0.5 between 0 and 1
PLEASE HELP FAST!! ILL MARK AS BRAINLIEST!! Graphing is the best choice when solving for the following system:
y=-3x+4
-4x+2y=18
True
False
In a Create of 30 eggs
only 60 % is good how many
are bad?
Answer:
In my point of view 40% are bad
Please help! I will mark your brainiest, thank you!
Answer:
6
Step-by-step explanation:
The straight line (at the bottom) measures a total of 180 degrees. So we can write an equation where the sum of all of the angles = 180:
180 = 5x + x + 54 + 90
90 comes from the square indicating a right angle.
Using that equation, solve for x.
180 = 5x + x + 54 + 90
First, combine like terms.
180 = 6x + 144
Then subtract 144 from both sides
36 = 6x
Divide both sides by 6 to isolate x
6 = x
So x = 6°
Helppp me how can I solve this ????
Answer:
k=-6
Step-by-step explanation:
-6-3(2k+4)=18
-6-6k-12=18
-6k=36
-k=6
k=-6
what is the Factor.
25j² - 16
Answer:(5j+4)(5j-4)
Step-by-step explanation:
The difference of squares formula tells us that these types of equations can always be put into this form
(a+b)(a-b)
by taking the roots of the original equations coefficients
therefore (5j+4)(5j-4)
jalen drew a rectangle with a perimeter of 20 inches. the smaller side measured 3 inches. jalen said the longer side of the rectangle had to be 7 inches. is jalen correct?
Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(3 + 7)
20 = 2(10)
20 = 20 (True).
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The amount of time required to reach a customer service representative has a huge impact on customer satisfaction. Below is the Excel output from a study to see whether there is evidence of a difference in the mean amounts of time required to reach a customer service representative between two hotels. Assume that the population variances in the amount of time for the two hotels are not equal.
t-Test: Two-sample assuming Unequal Variances
Hotel 1 Hotel 2
Mean 2.56 2.01
Variance 2.952 3.579
Observations 20 20
df 38
t Stat ?
t Critical one-tail 1.686
t Critical two-tail 2.024
Required:
What is the value of the test statistic?
Answer:
The value of the test statistic is t=1.12.
Step-by-step explanation:
This is a hypothesis test for the difference between populations means.
The claim is that the mean amount of time required to reach a customer service representative significantly differs between the two hotels.
Then, the null and alternative hypothesis are:
\(H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0\)
The sample 1, of size n1=20 has a mean of 2.65 and a standard deviation of √2.952=1.72.
The sample 2, of size n2=20 has a mean of 2.01 and a standard deviation of √2.952=1.89.
The difference between sample means is Md=0.64.
\(M_d=M_1-M_2=2.65-2.01=0.64\)
The estimated standard error of the difference between means is computed using the formula:
\(s_{M_d}=\sqrt{\dfrac{\sigma_1^2+\sigma_2^2}{n}}=\sqrt{\dfrac{1.72^2+1.89^2}{20}}\\\\\\s_{M_d}=\sqrt{\dfrac{6.531}{20}}=\sqrt{0.327}=0.571\)
Then, we can calculate the t-statistic as:
\(t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{0.64-0}{0.571}=\dfrac{0.64}{0.571}=1.12\)
The test statistics (t-statistic) value will be:
"1.12".
Mean and Standard deviationAccording to the question,
The null and alternative hypothesis will be:
\(H_0\) : μ₁ - μ₂ = 0
\(H_a\) : μ₁ - μ₂ \(\neq\) 0
Mean = 2.65 and 1.01
Observations = n₁ = n₂ = 20
Now,
The difference between sample mean.
→ \(M_d\) = M₁ - M₂
= 2.65 - 2.01
= 0.64
The estimated standard error will be:
→ \(s_M_d\) = \(\sqrt{\frac{\sigma_1^2 + \sigma_2^2}{n} }\)
By substituting the values,
= \(\sqrt{\frac{(1.72)^2 + (1.89)^2}{20} }\)
= \(\sqrt{\frac{6.531}{20} }\)
= \(\sqrt{0.327}\)
= 0.571
hence,
The test statistic (t) be:
= \(\frac{M_d(\mu_1 -\mu_2)}{s_M_d}\)
= \(\frac{0.64-0}{0.571}\)
= \(\frac{0.64-0}{0.571}\)
= 1.12
Thus the above approach is right.
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Pablo used a total of 5 3/4 gallons of gas while driving his car. Each hour he was driving, he used 5/6 gallons of gas. What was the total number of hours he was driving? Write your ans
There are five boys to every seven girls in an introductory geology course. If there are 408
students enrolled in the course, how many are boys?
Answer:
170 boys
Step-by-step explanation:
If there are five boys to every seven girls, then one group will have a total of 12 students.
Since there are 408 total students enrolled, then there would be 408/12 = 34 groups.
Therefore, there are 5*34 = 170 boys