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qaws [65]
3 years ago
9

Find the value of r so the line that passes through each pair of points has the given slope.

Mathematics
1 answer:
3241004551 [841]3 years ago
7 0

Answer:

r = 1

Step-by-step explanation:

slope = change in y / change in x, so:

change in y / change in x  = 2/3

5 - r / 7 - 1 = 2/3

5 - r / 6 = 2/3

\frac{5-r}{6}=\frac{2}{3}

now solve this equation.

first, multiply both sides by 6 to get rid of the fraction:

5 - r = 4

subtract 5 from both sides

-r=-1

multiply both sides by -1

r=1

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Matt and Mark went to El Rodeo to have some dinner. Matt ordered 3 tacos and 2 enchiladas, which cost him $4.93. Mark ordered 2
lord [1]

Answer:

The cost of one taco is $0.87 and the cost of one enchilada is $1.16

Step-by-step explanation:

Let the cost of tacos be X

and cost of enchiladas be y

So, by using given data, we have following equations

3X + 2Y = 4.93             (1)

2X + 4Y = 6.38             (2)

So, first multiply 1st equation by 2 and 2nd equation by 3, then subtracting 1st equation by 2nd.

= 2 × ( 3X + 2Y = 4.93)       (1)

= 3 × (2X + 4Y = 6.38)        (2)

= - (6X + 4Y = 9.86)              (1)

= 6X + 12y = 19.14            (2)

= 8Y = 9.28

Y = 9.28 ÷ 8 = 1.16

By putting the value of Y in equation 1, we get

3X + 2(1.16) = 4.93

3X + 2.32 = 4.93

X = 2.61 ÷ 3 = 0.87

Hence, the cost of one taco is $0.87 and the cost of one enchilada is $1.16.

8 0
3 years ago
What is the result of subtracting the second equation from the first?<br> -2x+y=0<br> - 7x + 3y = 2
Monica [59]

Answer:

Photomath help you get the answer

Step-by-step explanation:

7 0
3 years ago
Solve e inequality -x&lt;-29
mihalych1998 [28]

Answer:

x > 29

Step-by-step explanation:

-x < -29

~Divide -1 to both sides

x > 29

Best of Luck!

7 0
3 years ago
Get 14 points, Plz help me with this question, and give the right answer cause it's important
GREYUIT [131]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
4. Sandra has 35% of the money she needs. She has $105. How much more money does she need? Write the equation and solve.​
guajiro [1.7K]

Answer:

36.75

Step-by-step explanation:

First is turn the percent into a decimal which would be 0.35.

Then multiply 0.35 with 105

Finally this would equal to 36.75

Note: Hope I got it right, if I didn't I am very sorry this is all I can really do. If I did get it wrong please comment and I'll try again.

5 0
3 years ago
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