What does z stand for in 118/13 = 59/z

Answers

Answer 1
Answer: Basically they are subbing x with the letter z

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what is 7/5 as a decimal number

Consider the expression 3x(x-2) + 2 and 2x^2 + 3x - 12. A. Evaluate each expression for x = 2 and for x = 7. Based on your results, do you know whether the two expressions are equivalent? Explain.

B. Evaluate each expression for x = 5. Based on your results, do you know whether the two expressions are equivalent? Explain.

Answers

Lets begin by doing part a, then part b.

A)2x^2 + 3x - 12
2(2^2) + 3(2) - 12
 2(4) + 6 - 12
8 + 6 - 12 
14 - 12 = 2


3x(x-2) + 2
3(2) * (3-2) + 2
6 * 1 + 2
6 + 2 = 8

Nope, these are not equivalent. 

Next one, x = 7 
2x^2 + 3x - 12
2(7^2) + 3(7) - 12
2(49) + 21 - 12
98 + 21 - 12
119 - 12 = 107

3x(x-2) + 2
3(7) (7-2) + 2
21(5) + 2
105 + 2 = 107
Yes! When x = 7, these expressions are equal. 

B) 2x^2 + 3x - 12
Apply the value for x.
2(5^2) + 3(5) - 12
2 (25) + 15 - 12
50 + 15 - 12
55 - 12 = 43

3x(x-2) + 2
3(5) * (5-2) + 2
15 * 3 + 2
45 + 2
47

When x = 5, these expressions are not equivalent. 

Why did the paper rip when the student tried to stretch out the horizontal axis of his graph

Answers

it ripped because he was pulling its weaker side which caused to tear

78 is 15% of what #? 1. | 3x - 2 | = 8 and | x + 1 | = 1
What value of x satisfies both equations above?
1. -1
2. 2
3. 1
4. -2

What is the slope of the line described by the 3y - 4x + 5 = 0 equation?
1. 4/3
2. -5/3
3. 5/4
4. 3/4

Please help.. Show work for ALL problems please.

Answers

1. 78 = 0.15x
    78 / 0.15 = x
    520 = x.....so 78 is 15% of 520

2. | 3x - 2 | = 8                               | x + 1 | = 1

3x - 2 = 8      -(3x - 2) = 8            x + 1 = 1          -(x + 1) = 1
3x = 8 + 2      -3x + 2 = 8             x = 1 - 1           -x - 1 = 1
3x = 10           -3x = 6                  x = 0                 -x = 2
x = 10/3           x = -2                                             x = -2

ur answer is : x = -2

3. 3y - 4x + 5 = 0
    3y = 4x - 5
      y = 4/3x - 5/3
   slope = 4/3
    

1. You can do 90 sit-ups in 2 minutes. Your friend can do 135 sit-ups in 3 minutes. Do these rates form a proportion? Explain2. The ratio of quarters to dimes in a coin collection is 5:3. You add the same number of new quarters as dimes to the collection.
a. Is the ratio of quarters to dimes still 5:3?
b. If so, illustrate with an example. If not, give a counter-example.
3. You are 13 years old, and your cousin is 19 years old. As you grow older, is your age proportional to your cousin's age? Explain your reasoning

Answers

Answer:

1. The relation is proportional.

2. The ratio of quarters and to dimes will not remain 5 : 3.

3. y = 6 + x, Hence, not proportional.

Step-by-step explanation:

1. I can do 90 sit-ups in 2 minutes and my friend can do 135 sit-ups in 3 minutes.

If we consider t as the time in minutes and n as the number of sit-ups, then we can write (2,90) and (3,135) as two ordered pairs.

So, the relation between t and n will be

(n - 135)/(135 - 90) = (t - 3)/(3 - 2)

n = 45t

Therefore, the relation is proportional.

2. The initial ratio of quarters to dimes was 5:3. If I add the same number of quarters and dimes to it then,

a) The ratio of quarters and dimes will not still be 5 : 3.

b) Let, the number of quarters was 5 then the number of dimes was 3. {As the ratio was 5 : 3}

Now, we add 3 new quarters and 3 new dimes in the collection. then, finally, the number of quarters will be (5 + 3) = 8 and the number of dimes will become (3 + 3) = 6.

Therefore, the new ratio will become 8 : 6 = 4 : 3 which is not equal to 5 : 3.

3. I am 13 years old, and my cousin is 19 years old.

So, if my age is given by x and that of my cousin is y, then

y - x = 19 - 13

⇒ y - x = 6

y = 6 + x

This relation will continue as the year passes. So, the relation is not proportional as the relation is not like y = kx. (Answer)

Tina equally shares 8 cookies among herself and her 4 friends. which fraction shows how many cookies each person getsPLZ ASAP

Answers

Answer: 1 3/5

Step-by-step explanation:

if you have 8 cookies and want to share it with 5 total people you divide it so 8/5 is 1.6

Given:RSTU is a parallelogram.



RST

UXR
TUR
TXU

See Picture

Answers

Answer:

Option B is correct.

\triangle RST \cong \triangle TUR  

Step-by-step explanation:

Given: RSTU is a parallelogram.

By definition of parallelogram, two pairs of opposite sides are congruent in length.

TU \cong RS and TS \cong RU

In triangle RST and  triangle TUR

RS \cong TU  [Side]  

TS \cong RU  [Side]

RT \cong RT   [Common side]

SSS(Side-Side-Side) postulates states that if three sides of one triangle are congruent to three sides of other triangle, then the triangles are congruent.

then, by SSS postulates we have;

\triangle RST \cong \triangle TUR    


Answer:

Answer is below.

Step-by-step explanation:

Given: RSTU is a parallelogram.

Triangle RST congruent to triangle TUR.

Hope this helps.