Use a proportion to convert the measurement.<br> 4 quarts=___

On Tuesday, Donovan earned $11 for 2 hours of babysitting. On Saturday, he babysat for the same family and earned $38.50. How ma

Lina20 [59]

$11=2 hrs

2hrs=$11
+2(4hrs)=$22
+2(6hrs)=$33 hrs

so 6 hrs or 7 hours and some
minutes left

4 0

4 years ago

4w^3−8w+12<br> factor the polynomial<br><br> 5t^2+20t+50<br> factor the polynomial

DanielleElmas [232]

7 0

4 years ago

A high school sports team is ordering sports drinks online from a company. The price of sports drinks varies, based on the numbe

Elena-2011 [213]

The amount of drinks is a linear function of the number of drinks. The maximum amount that can be purchased is 100 soft drinks.

Let

$y \to$ amount of drinks

$x \to$ number of drinks

For drinks not more than 50

$y = 10 + 0.8x$

For drinks more than 50.

$y = 15 + 0.7x$

For a purchase of $85, it means that:

$y = 85$

So, we solve for x in both equations.

$y = 10 + 0.8x$

$85 = 10 + 0.8x$

Collect like terms

$0.8x = 85-10$

$0.8x = 75$

Divide through by 0.8

$x = 93.75$

$x = 94$ --- approximated

$y = 15 + 0.7x$

$85 =15 + 0.7x$

Collect like terms

$0.7x = 85 - 15$

$0.7x = 70$

Divide by 0.7

$x = 100$

By comparing both values:

$x = 100$

$x = 94$

$100 > 94$

Hence, the maximum amount that can be purchased is 100

Read more about functions at:

brainly.com/question/20286983

5 0

3 years ago

Read 2 more answers

Solve for a and graph the solution on the number line below.

oksian1 [2.3K]

Solve for x and graph the solution on the number line below.

$-x-5 \geq 1 \text { or }-x-5 < -8$

$-x-5 \geq 1$

Add 5 to both sides

$-x-5+5 \geq 1+5$

Simplify

$-x \geq 6$

Multiply both sides by - 1 (reverse the inequality) $(-x)(-1) \leq 6(-1)$

Simplify

$x \leq-6$

$-x-5 < -8$

Add 5 to both sides

$-x-5+5 < -8+5$

Simplify

$-x < -3$

Multiply both sides by $-1$ (reversing the inequality)

$(-x)(-1) > (-3)(-1)$

Simplify

$x > 3$

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities, is at the core of social justice theories. However, because it frequently has diverse meanings to different individuals, it is prone to misunderstanding in public discourse. However, certain distinctions are universal.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Learn more about inequalities brainly.com/question/20383699

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7 0

1 year ago

Which variable would be classified as categorical? area of the state (in square feet) population of the state percent increase o

My name is Ann [436]

The variable which is a categorical variable among the answer choices as in the task content is; Population of the state.

<h3>What is the categorical variable among the answer choices?</h3>

Categorical variables represent types of data which may be divided into groups. Instances of categorical variables include but are not limited to race, sex, age group, and gender.

It therefore follows from the traditional definition of categorical variables that the answer choice which represents a categorical variable is; Population of the state.

Use a proportion to convert the measurement. 4 quarts=____liters