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irakobra [83]
3 years ago
11

When you apply addition, add both side of the equation. Which property of equality is it

Mathematics
1 answer:
Nikolay [14]3 years ago
8 0
I think addition property of equality
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How many quarts of pure antifreeze must be added to 5 quarts of a 40​% antifreeze solution to obtain a 50​% antifreeze​ solution
GarryVolchara [31]

Answer:

2 quarts of 100% antifreeze.

Step-by-step explanation:

5 quarts/ .40 * x/ 1

.40x= 5

x=2

6 0
3 years ago
An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out a square from e
laila [671]

Answer:

x=4 Inch

Step-by-step explanation:

Length of the Square = 24 Inches

If a Square of Length x cm is cut out from each corner

Length of the Box = 24-x-x=(24-2x) Inches

Width of the Box =24-x-x=(24-2x) Inches

Height of the box = x inches

Volume of a Cuboid = Length X Width X Height

V(x)= x(24-2x)(24-2x)

Simplifying

V(x)=4x(12-x)(12-x)

To determine the value of x at which V is largest, we take the derivative of V(x) and solve for the critical points.

V(x)=4x(12-x)(12-x)

V^{'}(x)=12(x-12)(x-4)

Set the derivative equal to zero to obtain the critical points

V^{'}(x)=12(x-12)(x-4)=0\\Since \: 12\neq 0\\(x-12)(x-4)=0\\x-12=0 \:or\: x-4=0\\x=12 \:or\: x=4

x cannot be equal to 12 as it divides the length of the square cardboard into exactly two equal parts.

When x=4

V(4)=4*4(12-4)(12-4)=16*8*8=1024 Cubic Inches

When x=4 Inch, the volume, V of the open box is largest.

3 0
3 years ago
Thomas and Pablo began arguing about who did better on their tests, but they couldn't decide who did better given that they took
Shkiper50 [21]

It should be noted that the z score for Thomas test grade is 0.237.

<h3>How to illustrate the information?</h3>

From the information, Thomas took a test in Social Studies and earned a 74.8 and there is the fact that all the students' test grades in the Social Studies class had a mean of 72.6 and a standard deviation of 9.3,

Therefore, the z score for Thomas test grade will be:

= Test score - Mean / Standard deviation

= 74.8 - 72.6 / 9.3

= 0.237.

Therefore, it should be noted that the z score for Thomas test grade is 0.237.

Learn more about standard deviation on:

brainly.com/question/12402189

#SPJ1

Thomas and Pablo began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Thomas took a test in Social Studies and earned a 74.8, and Pablo took a test in Science and earned a 64.1. Use the fact that all the students' test grades in the Social Studies class had a mean of 72.6 and a standard deviation of 9.3, and all the students' test grades in Science had a mean of 61.1 and a standard deviation of 9.8 to answer the following questions.

Calculate the z score for Thomas test grade.

4 0
1 year ago
Plz help me 25 pointssss!!!!!! Thxx &lt;3
satela [25.4K]

Answer:

how should I help you with

7 0
3 years ago
Read 2 more answers
Complete the equivalent equation for –7x – 60 = x2 + 10x.
rewona [7]

Complete the equivalent equation for –7x<span> – 60 = </span>x2<span> + 10</span>x.

(x<span> + 5</span>)(x<span> + 12) = 0</span>

What are the solutions of –7x<span> – 60 = </span>x2<span> + 10</span>x?

x<span> = -12 or -5</span>

Please mark as Brainliest. 

5 0
3 years ago
Read 2 more answers
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