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3 years ago

together, jason and mara have $74. jason has $6 more than 1/3 as much money as Mara has. how much does each person have?

1 answer:

6 0

Make an equation system based on the problem
<span>Jason and Mara have $74
</span>⇒ j + m = 74
<span> Jason has $6 more than 1/3 as much money as Mara has
</span>⇒ j = (1/3)m + 6
<span>
Then, solve the equation by subtitution
j + m = 74
(1/3)m + 6 + m = 74
(1/3)m + m = 74 - 6
(1/3)m + (3/3)m = 68
(4/3)m = 68
m = 68 </span>÷ 4/3
m = 68 × 3/4
m = 51
Mara has $51

j + m = 74
j + 51 = 74
j = 74 - 51
j = 23
Jason has $23

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Which of the following is the solution set to the inequality −25x+14>20? Select one: A. x < -64 B. x > -64 C. x < -1

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x< -0.24

Step-by-step explanation:

So this is going to sound stupid, but I got x< -0.24 which is just not an option, but this is how I got it...

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subtract 14 from each side

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divide each side by -25

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I switch the way the sign was facing bc I divided by a negative.

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3 years ago

Analyze the diagram below and answer the question that follows. If 2004-02-01-02-00_files/, what is 2004-02-01-02-00_files/? A.

nadya68 [22]

Option A AY || XV given that A, Y, Z are midpoints of sides XW, VW, XV respectively. This can be obtained by knowing what similar triangles are and finding which sides are proportional.

<h3>Find the correct option:</h3>

Similar triangles: If two triangles have proportional sides the are similar.

For example, if ΔABC and ΔDEF are similar then

$\frac{AB}{DE}= \frac{BC}{EF} =\frac{AC}{DF}$

∠ABC = ∠DEF and ∠ACB = ∠DFE

Then we can write that, ΔABC ~ ΔDEF

Here in this question,

Since A, Y, Z are midpoints of sides XW, VW, XV

XA = AW

WY = VY

XZ = VZ

To consider sides AY and XV we should take triangles ΔWAY and ΔWXV

$\frac{WX}{WA} =\frac{2WA}{WA} = 2$ (since A is the midpoint of WX)

$\frac{WV}{WY} =\frac{2WY}{WY} = 2$ (since Y is the midpoint of WV)

∠AWY = ∠XWV (reflexive property)

Therefore ΔWAY and ΔWXV are similar triangles

$\frac{WX}{WA}= \frac{XV}{AY} =\frac{WV}{WY}$ = 2

∠WAY = ∠WXV and ∠AYW = ∠XVW

Hence,

AY || XV option A AY || XV given that A, Y, Z are midpoints of sides XW, VW, XV respectively.

Learn more about similar triangle here:

brainly.com/question/25882965

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Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: Analyze the diagram below and answer the question that follows. If Z, Y and A are midpoints of ΔVWX what is true about AY and XY?

A. AY || XV

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C. AY = XV

D. AY ≅ XV

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2 years ago

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ra1l [238]

She worked 30 hours per week.

The problem turns out to be the following:
2x+15=3x-15.
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You have to isolate the X so you do x+15. You have to do the same to the other side so 15+15=30, therefore x=30

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3 years ago