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3 years ago

Wyatt has25.4ounces of fruit jucie he divides the jucie equally in to 4 glasses how much jucie is in each glass

1 answer:

6 0

Well first you have 25.4 oz of juice right? Then you want to divide that equally into 4 glasses so you would do 25.4 oz / 4 glasses ending up with = 6.35 onces in each glass

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Solve for x: |2x+6| -4 = 20

Bingel [31]

|2x + 6| - 4 = 20

First, add 4 to both sides. / Your problem should look like: |2x + 6| = 20 + 4
Second, simplify 20 + 4 to 24. / Your problem should look like: |2x + 6| = 24
Third, break down the problem into these 2 equations. / 2x + 6 = 24 and -(2x + 6) = 24
Fourth, solve the 1st equation: 2x + 6 = 24
Subtract 6 from both sides. / Your problem should look like: 2x = 24 - 6
Simplify 24 - 6 to 18. / Your problem should look like: 2x = 18
Divide both sides by 2. / Your problem should look like: x = $\frac{18}{2}$
Simplify $\frac{18}{2}$ to 9 / Your problem should look like: x = 9
Fifth, solve the 2nd equation: -(2x + 6) = 24
Simplify brackets. / Your problem should look like: -2x - 6 = 24
Add 6 to both sides. / Your problem should look like: -2x = 24 + 6
Simplify 24 + 6 to 30. / Your problem should look like: -2x = 30
Divide both sides by -2. / Your problem should look like: x = $\frac{30}{-2}$
Simplify $\frac{30}{-2}$ to $- \frac{30}{2}$ / Your problem should look like: x = $-\frac{30}{2}$
Simplify $\frac{30}{2}$ to 15. / Your problem should look like: x = -15
Sixth, collect all of your solutions. / Your problem should look like: x = -15, 9

Answer: x = -15, 9 (C)

4 0

3 years ago

Ms. Lee wrote a test with 15 multiple choice short answer questions. The multiple choice questions x are worth 5 points and the

hram777 [196]

x + y = 15 and 5x + 10y = 100 are the system of equations that represent this situation

Solution:

Let "x" be the number of multiple choice questions

Let "y" be the number of short answer questions

Worth of 1 multiple choice questions = 5 points

Worth of 1 short answer question = 10 points

Ms. Lee wrote a test with 15 multiple choice short answer questions

Therefore,

number of multiple choice questions + number of short answer questions = 15

x + y = 15 -------- eqn 1

The maximum number of points possible on the test is 100

Therefore, we frame a equation as:

number of multiple choice questions x Worth of 1 multiple choice questions + number of short answer questions x Worth of 1 short answer question = 100

$x \times 5 + y \times 10=100$

5x + 10y = 100 ------- eqn 2

Thus eqn 1 and eqn 2 are the system of equations that represent this situation

6 0

3 years ago

From a well shuffled deck of 52 cards, the probability of NOT drawings a red-face card is ______.

Gnom [1K]

Answer:

Option "d" might be 11/13

Step-by-step explanation:

Red face cards=8. ( heart and Diamond)

Remove this 8 cards from 52 cards which gives

=>44

Toal cards =52

PROBABILITY = 44/52=>11/13

5 0

3 years ago

The measures of two supplementary angles are (2x – 8)° and (3x - 2)°. What is the measure of the

saw5 [17]

Answer:

68°

Step-by-step explanation:

Here,

Two supplementary angles are (2x – 8)° and (3x - 2)°.

As we know that the sum of two supplementary angles are 180°. So,

→ (2x – 8)° + (3x – 2)° = 180°

→ 2x° – 8° + 3x° – 2° = 180°

→ 5x° – 10° = 180°

→ 5x° = 180° + 10°

→ 5x° = 190°

→ x = 190° ÷ 5°

→ x = 38°

Supplementary angles are,

1st angle = (2x – 8)°

→ 2(38°) – 8

→ (76 – 8)°

→ 68°

2nd angle = (3x – 2)°

→ 3(38°) – 2

→ (114 – 2)°

→ 112°

Therefore, the measure of the smaller angle is 68°.

4 0

3 years ago

17. Given the graph below, find PQ.

Galina-37 [17]

Answer:

you actually don't need a graph to be able to solve this equation. As long as you are given two data points, you can already solve for the linear equation. The most common way of writing linear equations is the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

Step-by-step explanation:

5 0

3 years ago

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