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tester [92]
3 years ago
8

— 4х + 7y = 20 у = 3х + 15

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
6 0

Answer:

x=-5

Step-by-step explanation:

-4x+7(3x+15)=20\\ -4x+21x+105=20\\ 17x+105=20\\ 17x=20-105\\ 17x=-85\\ x=-5

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Kathleen makes bracelets to sell in a booth at a local store. She spent $62.30 on supplies to make bracelets for the next month.
vodomira [7]

Answer:

$105.20

Step-by-step explanation:

Given that :

Cost of materials = $62.30

Cost of booth = $25 / month

Price per bracelet = $5.50

Profit of 35 bracelet is sold next month =?

Profit = Revenue - Expenses

Revenue = $5.50 * 35 = $192.50

Expenses = $25 + $62.30 = $87.30

Profit = $192.50 - $87.30

= $105.20

4 0
3 years ago
8.
mihalych1998 [28]

Answer

Secured

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
Are the two figures congruent?
geniusboy [140]

Answer:

No, because the reflection of ABC is not congruent to A’B’C’.

Step-by-step explanation:

we know that

The rule of the reflection across the line y=x is equal to

(x,y) -------> (y,x)

so

A(-6,6) -------> A'(6,-6) ----> is ok

B(-3,3) ------> B'(3,-3) ----> is ok

C(-8,2) ------> C'(8,-2) ----> is not ok ( is not a reflection acros the line y=x)

therefore

The triangles are no t congruent, because the reflection of ABC is not congruent to A’B’C’

6 0
3 years ago
What is the greatest common factor of 32 and 48
Bond [772]
Turn each number into the product of it's prime factors.

32=16x2=2x2x2x2x2=2^5

48=24*2=6x4x2=2x3x2x2x2

Pick the highest number that occurs. In this case it is 2. Now we have to see how many times it appears in both. It appears 5 times in 32 and 4 times in 48. 4 is the highest number of times it appears in the numbers so:

2^4=2x2x2x2=16

The Greatest Common Factor (GCF) of 32 and 48 is 16.
4 0
3 years ago
Read 2 more answers
What is the measure of an angle if the measures of its two adjacent supplementary angles add up to 100°?
Sindrei [870]
<h3>Answer:  130</h3>

Explanation:

Let x be the unknown angle we want to find.

Let y be adjacent and supplementary to x. This means x+y = 180

Let z also be adjacent and supplementary to x. So x+z = 180 also

Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.

Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z

y+z = 100

z+z = 100

2z = 100

z = 100/2

z = 50

Therefore,

x+z = 180

x+50 = 180

x = 180-50

x = 130

8 0
3 years ago
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