Caitlyn did 6/7 of the problems on her math quiz correctly and four incorrectly. She did all the problems. How many were there?

Answers

Answer 1

Answer: 28 problems.
7/7 - 6/7=1/7
1/7=4 problems
4×7=28
So the Answer is 28 Problems.
~JZ
Hope it helps

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You are Miguel Cervantes de Navas y Colon, captain in the Royal SpanishArmy in Sevilla in the year 1842. Outside your barracks window is a stack ofcannonballs, as shown in the illustration. On an idle afternoon you decide tocalculate the number of cannonballs in the stack. What is the number ofcannonballs?

Johnny B's rectangular garden is 5 feet long and 10 feet wide. He wants to make the area of his garden 6 times as large by increasing the length and width by the same amount. Find the number of feet by which each dimension must be increased.

Answers

Answer:

The length is 15 and the width is 20

Step-by-step explanation: 10 times 5 is 50 and 6 times is 300 which is the area you are looking for. 15 times 20 is 300 and you add 5 to each numbers so it works.

Assign two variables for each problem, and write the equations. Do not solve.In the Alice High School band, the number of trumpet players is 4 times the number of French horn players. There are 35 trumpet and French horn players in the band. How many people play the trumpet?

Answers

Call the number of trumpet players "T" and the number of horn players "H".

We can use the given information to set up equations:

1."the number of trumpet players is 4 times the number of French horn players"
$T=4H$

2. "There are 35 trumpet and French horn players in the band."
$T+H=35$

If you were asked to solve you could now do it by substitution:
$4H+H=35$
$5H=35$
$H=7$
$T=4H$
$T=4(7)$
$T=28$

Mailing on a weekly salary of $385 plus a 70% commission on a sale at a gift shop how much would she make in a work week if she had sold for 4300 worth of merchandise

Answers

Answer:

Total Amount made by Mailing in a week is $3395.

Step-by-step explanation:

Given:

Fixed Salary = $385

Percentage of Commission on Sale = 70%

Total Sale = 4300

we need to find Total amount made by Mailing in a week.

We will first find the amount made on commission.

Amount made on commission = $(70)/(100) * 4300 = \$3010$

Now Total Amount made by Mailing in a week is equal to sum of Fixed Salary and Amount made on commission.

Framing in equation form we get;

Total Amount made by Mailing = $385 + $3010 = $3395.

Hence Total Amount made by Mailing in a week is $3395.

Compare the mean and standard deviation of Set A and Set B.Set A: 7, 3, 4, 9, 2
Set B: 5, 8, 7, 6, 4

Answers

Set A: {7, 3, 4, 9, 2}
Finding the Mean of Set A: $\bar{x} = (7 + 3 + 4 + 9 + 2)/(5)$
   $\bar{x} = (25)/(5)$
   $\bar{x} = 5$

Finding the Standard of Set A: $\sigma = \sqrt{\frac{(\bar{x} - x_(1))^(2) + (\bar{x} - x_(2))^(2) + (\bar{x} - x_(3))^(2) + (\bar{x} - x_(4))^(2) + (\bar{x} - x_(5))^(2)}{n}}$
   $\sigma = \sqrt{((5 - 7)^(2) + (5 - 3)^(2) + (5 - 4)^(2) + (5 - 9)^(2) + (5 - 2)^(2))/(5)}$
   $\sigma = \sqrt{((-2)^(2) + (2)^(2) + (1)^(2) + (-4)^(2) + (3)^(2))/(5)}$
   $\sigma = \sqrt{(4 + 4 + 1 + 16 + 9)/(5)}$
   $\sigma = \sqrt{(34)/(5)}$
   $\sigma = √(6.8)$
   $\sigma \approx 2.6$

Finding the Mean of Set B: $\bar{x} = (5 + 8 + 7 + 6 + 4)/(5)$
   $\bar{x} = (30)/(5)$
   $\bar{x} = 6$

Finding the Standard Deviation of Set B: $\sigma = \sqrt{\frac{(\bar{x} - x_(1))^(2) + (bar{x} - x_(2))^(2) + (\bar{x} - x_(3))^(2) + (\bar{x} - x_(4))^(2) + (\bar{x} - x_(5))}{n}}$
$\sigma = \sqrt{((6 - 5)^(2) + (6 - 8)^(2) + (6 - 7)^(2) + (6 - 6)^(2) + (6 - 4)^(2))/(5)}$
$\sigma = \sqrt{((1)^(2) + (-2)^(2) + (-1)^(2) + (0)^(2) + (2)^(2))/(5)}$
$\sigma = \sqrt{(1 + 4 + 1 + 0 + 4)/(5)}$
$\sigma = \sqrt{(10)/(2)}$
$\sigma = √(5)$
$\sigma \approx 2.236$

The mean and standard deviation of Sets A and B are different.

Final answer:

Mean of Set A is 5 and Set B is 6. Standard deviation of Set A is approximately 2.83, and for Set B, it's approximately 1.67. This indicates that values in Set B are generally closer to their mean than values in Set A to their mean.

Explanation:

To compare the mean and standard deviation of Set A and Set B, we first need to calculate these for each set. Mean is the average of the numbers and standard deviation is a measure of the amount of variation or dispersion of a set of values.

First, calculate the mean by adding the numbers in each set and dividing by the total number of values. For Set A, the mean is (7+3+4+9+2)/5 = 5. For Set B, the mean is (5+8+7+6+4)/5 = 6.

The standard deviation is a bit more complex, as it involves subtracting the mean from each value, squaring the result, finding the mean of these squares, and then taking the square root of that mean. For Set A, these steps result in a standard deviation of approximately 2.83. For Set B, these steps result in a standard deviation of approximately 1.67.

In conclusion, Set B has a higher mean and a lower standard deviation compared to Set A which means values in Set B are generally closer to the mean of Set B than values in Set A are to the mean of Set A.

Learn more about Mean and Standard Deviation here:

brainly.com/question/35095365

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Combine like terms.
3y + y + 6y
A. 10y
B. 8y
C. 9y-y
D. 2y

Answers

First off,like terms are value with the same unknown.

For example,in the equation 2x+3y+5y+4x,

The like terms would be 2x and 4x, with the same unknown x,
and the other like terms would be 3y and 5y with the same unknown y.

In this case (3y+y+6y), as they all have unknown y, they all are like terms.

To combine,we can simply add them together:
$3y + y + 6y \n = 4y + 6y \n = 10y$

Therefore the answer is A. 10y.

Hope it helps!

Answer: Its A.) 10y

Step-by-step explanation:

Solve picture question. Mathematics.

Answers

Cross multiplication!
$(7)/(8)$ = $(x)/(24)$
7 × 24 = 8x
168 = 8x

Divide both sides by 8 to isolate x

$(168)/(8)$ = $(8x)/(8)$
8 and 8 cancels out

21 = x

8*?=24? 8*3=24. So multiply 7 also by 3, and the answer is 21 :)

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