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3 years ago

14

Tomas got 3/4 of the questions correct on an exam. There were 24 questions on the exam. What number of questions did Tomas get c

orrect?

1 answer:

Airida [17]3 years ago

7 0

Answer:

18 questions

Step-by-step explanation:

In order to get the answer you have to multiply 3/4 by 24.

(3/4)(24) = 18

Therefore, Tomas got 18 questions correct.

<em>I hope this helps!!</em>

<em>- Kay :)</em>

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9x-8(x-6)=52 what is the answer

Effectus [21]

Answer:

x = 4

Step-by-step explanation:

Step 1: Write equation

9x - 8(x - 6) = 52

Step 2: Solve for <em>x</em>

Distribute -8: 9x - 8x + 48 = 52
Combine like terms: x + 48 = 52
Subtract 48 on both sides: x = 4

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

9(4) - 8(4 - 6) = 52

36 - 8(-2) = 52

36 + 16 = 52

52 = 52

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3 years ago

Find the area of each figure. Use 3.14

grigory [225]

<h3>Answer: 23.13 square meters</h3>

===============================================================

Explanation:

The top and bottom semicircles can be joined to form a full circle. The same can be said about the left and right semicircles. Each circle has diameter 3 and radius 1.5

The area of one circle is

A = pi*r^2

A = 3.14*(1.5)^2

A = 7.065

So two circles doubles to 2*7.065 = 14.13 square meters in area.

Then the last step is to add on the area of the 3 by 3 square (area 3*3 = 9) to get 14.13+9 = 23.13

This area is approximate because pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate area. However, your teacher wants you to use this specific value so it's best to stick with 23.13

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3 years ago

Read 2 more answers

4 cups of pineapple juice, 8 cups of orange juice and 12 cups of Sprite makes 18 servings. How many cups of pineapple juice will

Ronch [10]

Answer:

24 cups.

Step-by-step explanation:

18 serving requires 4 cups of Pine apple

for 108 serving, 108/18 = 6 times.

Hence all your ingredients will be multiplied by 6 times to prepare 108 servings.

6 0

2 years ago

Find the coordinates of the midpoint of the segment given its endpoints.

Vesna [10]

Answer:

(2, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ $\frac{1}{2}$ (x₁ + x₂ ) , $\frac{1}{2}$ (y₁ + y₂ ) ]

Here (x₁, y₁ ) = (A(5, 8) and (x₂, y₂ ) = B(- 1, - 4) , thus

midpoint = [ $\frac{1}{2}$ (5 - 1), $\frac{1}{2}$ (8 - 4 ) ] = (2, 2 )

6 0

3 years ago

Please help me find the answer pls

fiasKO [112]

Answer:

A. Solutions are: x = 2, y = 1.

B. Solutions are: x = 3, y = 2.

C.

1. Inconsistent

2. Inconsistent

3. Consistent

Step-by-step explanation:

A. Solutions of each system of linear equations by substitution method:

Equation 1: 3x - 2y = 4

Equation 2: x = 2y

<u>Step 1:</u> Substitute x = 2y into the Equation 1:

3(2y) - 2y = 4

6y - 2y = 4

4y = 4

Step 2: Divide both sides of the equation by 4 to isolate y:

$\frac{4y}{4} = \frac{4}{4}$

y = 1.

<u>Step 3:</u> For Equation 2, x = 2y, substitute y = 1 into the equation to solve for x:

x = 2y

x = 2(1)

x = 2

Therefore, the solutions are: x = 2, y = 1.

B. Find the solutions of each system of linear equations by elimination method:

Equation 1: 2x + y = 8

Equation 2: x + y = 5

<u>Step 1:</u> Multiply Equation 2 by 2:

2(x + y) = 5(2)

2x + 2y = 10

<u>Step 2:</u> Subtract Equation 1 from the equation derived from Step 1, 2x + 2y = 10:

2x + 2y = 10

- <u>2x + y = 8</u>

y = 2

Step 3: Plug in y = 2 into Equation 1, 2x + y = 8 to solve for x:

2x + y = 8

2x + (2) = 8

<u>Step 4:</u> subtract both sides of the equation by 2 to isolate x:

2x + 2 - 2 = 8 - 2

2x = 6

<u>Step 5:</u> Divide both sides of the equation by 2 to solve for x:

$\frac{2x}{2} = \frac{6}{2}$

x = 3.

The solutions are: x = 3, y = 2.

C:

1. Inconsistent

2. Inconsistent

3. Consistent (infinitely many solutions)

3 0

3 years ago