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NeTakaya
3 years ago
15

If you were to use the substitution method to solve the following system, choose the new

Mathematics
1 answer:
mestny [16]3 years ago
5 0

Answer:

23x = -115

Step-by-step explanation:

In the substitution method, you must solve for 1 variable in 1 equation to replace it in the other equation. For the system:

2x - 7y = 4

3x + y = -17

Solving for y in the second equation:

y = -17 - 3x

Replacing y in the first equation:

2x - 7(-17 - 3x) = 4

2x + 119 + 21x = 4

23x = -115

This is the new equation after use the substitution method.

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How do you solve / figure 8 x 51<br> (Distributive property)
Step2247 [10]
8(51)

=8(50+1)

=(8*50)+(8*1)

=(8*5*10)+(8*1)

=400+8

=408
5 0
3 years ago
Plz help meeeeeeeeeee
PSYCHO15rus [73]

Answer:

Please check the explanation.

Step-by-step explanation:

We know the equation

y = kx

k = y/x

where k is the proportionality constant

so,

First ratio can be calculated as

Miles = 45

Hours = 3/4

The ratio = 45 / (3/4)

                = (45 × 4) / 3

                = 180/3

                = 60

Thus, the proportionality constant = 60

Thus, the remaining ratios can be calculated as:

The Pair (135, Hours)

135/Hours = 60

Hours = 135 / 60

           = 27/12

           = 9/4

           = 2.25

Thus, the pair is (135, 2.25)

The Pair (Miles, 3)

Miles/3 = 60

Miles = 60×3

         = 180

The Pair (90, Hours)

90/Hours = 60

Hours = 90 / 60

          = 3/2

          = 1.5

Thus, the complete table:

Miles           45           135           180             90

Hours           3/4          9/4           3                 3/2

Verification:

Miles / Hour =  45/(3/4) = 60

Miles / Hour = 135 / 2.25 =  60

Miles / Hour = 180 / 3 = 60

Miles / Hour  = 90 / 1.5 =  60      

8 0
2 years ago
What is the approximated answer for:t{39}
WITCHER [35]
It’s 40 because it’s closer to 40 than 30
3 0
3 years ago
Read 2 more answers
Help ASAP! question in pic! will give brainliest!
serious [3.7K]
I think it’s 2
Hope that helped sorry if it’s wrong
8 0
3 years ago
Jaydas house is located at (1,5). She can walk in a straight line to get to Christians house. A fast food restaurant is located
steposvetlana [31]

Answer:

C. (9,1)

Step-by-step explanation:

Let the coordinated of Jaydas House be:

A(x_1, y_1) = (1,5)

The coordinates of Christian's House be:

B( x_2, y_2)

Let the restaurant be

M(x_M, y_M) = (7,2)

The ratio is 3:1

So

m=3 and n=1

So by the formula of finding the point that divides lines into given ratios

x_M = \frac{nx_1+mx_2}{m+n}\\7 = \frac{(1)(1)+(3)x_2}{3+1}\\7 =  \frac{1+3x_2}{4}\\7*4 = 1 + 3x_2\\28-1=3x_2\\27=3x_2\\x_2 = \frac{27}{3}\\x_2 = 9\\y_M = \frac{ny_1+my_2}{m+n}\\2 = \frac{(1)(5)+(3)y_2}{3+1}\\2 =  \frac{5+3y_2}{4}\\2*4 = 5 + 3y_2\\8=5+3y_2\\8-5=3y_2\\3=3y_2\\y_2 = \frac{3}{3}\\y_2 = 1

Therefore the coordinates of Christian's house are (9,1)

Option C is correct ..

7 0
3 years ago
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