Each boy had 1/3 cup of peanuts. There were 9 girls and 12 boys. How many cups of peanuts did the boys have altogether?

Answers

Answer 1
Answer: 4 Cups, cause (1/3)*12= 4

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A ball is thrown down from a balcony with a vertical velocity (in ft/s) given by V(t)= –32t – 10. Chose the inequality that represents the time for which the velocity of the ball will be between –90 and –58 ft/s

Answers

If the ball is thrown downward, it has a negative velocity due to the direction is traveling. By just looking at the magnitude of the velocity 90 is greater than 58, the negative sign only represents that it is moving downwards. So the correct answer is choice 2

Inequalities are used to represent unequal expressions or numbers.

The inequality that represents the time for which the velocity of the ball will be between -90 and -58 ft/s is: -90 < -32t - 10< -58

Given

V(t) = -32t - 10

V_1 = -90

V_1 = -58

From the numbering system;

-90 < -58 -- i.e. -90 is less than -58.

This means that:

-90 < V(t) < -58

Substitute V(t) = -32t - 10

-90 < -32t - 10< -58

Hence, the inequality that represents the scenario is:

-90 < -32t - 10< -58

Read more about inequalities at:

brainly.com/question/20383699

Mya and her 2 best friends have dinner at a restaurant. The billtotals $32, including tax. The friends leave an 18% tip and split
all costs equally. How much does each person pay?

Answers

Answer:16.6667

Step-by-step explanation:

Answer:

19.2

Step-by-step explanation:

You bought one skirt at $18.27, two shirts at $15.78, and a pair of shoes at $34.50. If the tax rate is 7%, what is the total cost of your purchase?Question 4 options:



$84.23



$90.23



$49.83



$69.00



Jack bought two sweaters for $17.99 and a pair slacks for $25.50. Including a 5 1/2% tax, how much was his total purchase?

Question 5 options:



$64.86



$61.48



$52.99



$28.98

Answers

Answer:

(A) $90.23

(B) $64.86                

Step-by-step explanation:

(A) Given, The cost of one skirt = $18.27

The cost of one shirt = $15.78, Then cost of two shirt = 2 × $15.78 =$ 31.56

and The cost of pair of shoes = $34.50

Thus, I have done total purchase of $18.27 + $31.56 + $34.50 = $84.33.

And, paying the tax of 7%

The total cost I spend = $84.33 × (100 + 7)% = $90.23

(B) Given, The cost of one sweater = $17.99, Then cost of two sweater = 2 × $18.27 =$ 35.98

The cost of one slack = $25.50

Thus, I have done total purchase of $35.98 + $25.50 = $61.48.

And, paying the tax of 5.5%

The total cost I spend = $61.48 × (100 + 5.5)% = $64.86

The answers to number 1 &2
1. $90.23
2. $64.86

Help Please !What polynomial identity should be used to prove that 133 = 125 + 8?

Difference of Cubes

Difference of Squares

Square of Binomial

Sum of Cubes

Answers

The answer is Sum of Cubes.

Since there is sign +, we expect it to be the sum. Among all choices, only the last one includes summation, and that is sum of cubes.

Let's check it out.
Sum of cubes can be expresses as:
a
³ + b³ = (a + b)(a² - ab + b²)

Let's see what are cube roots of 125 and 8: 
∛125 = ∛5·5·5 = ∛5³ = 5     ⇒     a = 5
∛8 = ∛2·2·2 = ∛2³ = 2     ⇒     b = 2

Now, let's implement that in the equation of sum of cubes:
5³ + 2³ = (5 + 2)(5² - 5·2 + 2²)
125 + 8 = 7 · (25 - 10 + 4)
133 = 7 · 19
133 = 133

Therefore, sum of cubes is the right answer.

Ebony earned scores of 71, 73, 83, 94, and 82 on five math tests. Determine herscore on the sixth test if her average for the six tests was 83? Enter your answer as a
whole number
Your Answer:

Answers

Answer:

Step-by-step explanation:

Given:71, 73, 83, 94, 82 avg 83 unknown number:x

83 equals 71+73+83+94 +82+x divided by number of scores.

71+73+83+94 +82+x is divided by 6

rearrange equation so that you solve for x

83 times 6

add 71, 73, 83, 94, 82

equation becomes 498=403+x

minus 403 from 498 and that is your x

X =

10
8
9
---------------------

Answers

Answer:

x = 8.

Step-by-step explanation:

Using the chords of a circle intersection theorem:

5x = 4 * 10

x = 40 /5

x = 8.

Answer:

X=8

Step-by-step explanation: