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Natalija [7]
3 years ago
9

A car traveled at an average rate of 51 miles per hour on one highway. It then traveled at an average rate of 71 miles per hour

on a second highway. If the car traveled a total of 508 miles in 8 hours, how many miles were driven on the first highway?
Mathematics
1 answer:
grandymaker [24]3 years ago
3 0
3 miles
51 \times 3 = 153
71 \times 5 = 355
355 + 153 = 508
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What is the solution of the following system <br> x-y=11<br> -x+y=-11
Elan Coil [88]
The answer is infinitely many solutions.
 
<span>x - y = 11
-x + y = -11
_____
Express the first equation in the term of x and substitute it into the second equation:
x = y + 11
</span>-x + y = -11
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-(y + 11) + y = -11
-y - 11 + y = -11
-y + y = 11 - 11
0 = 0

So, the system has infinitely many solutions.
5 0
3 years ago
Drea and Sajini both worked at a local ice cream shop over the summer. Together, they earned a total of $425. Drea earned $25 mo
Oksi-84 [34.3K]

Answer:

Sajini = 200

Drea = 225

Step-by-step explanation:

d = amount Drea earned

s = amount Sajini earned

Together they earned 425

d+s =425

d = s+25


The system of equations

d+s =425

d = s+25


I will use substitution to solve

Substitute d= s+25 into the first equation

d+s =425

(s+25) + s = 425

Combine like terms

2s+25 =425

Subtract 25 from each side

2s+25-25 =425-25

2s = 400

Divide by 2

2s/2 =400/2

s =200

Sajini = 200

Now we need to find d

d = s+25

d = 200 + 25

d = 225

Drea = 225


7 0
3 years ago
Read 2 more answers
Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use: Step 1: Choose
lesya692 [45]
The step which is INCORRECT is no other than the step 4 is incorrect because it shows the incorrect substitution. The step one is correct, the chosen point (2,5) is on the line, same with step 2 where the chosen point (1,3) is also in the chosen line. While step 3 is also correct where the line runs 1 unit rises 2 units such as slope m = 2/1. To make step 4 correct, we should substitute slope in step 3 in the equation below:
(y - y1) = m (x-x1) where m is the slope, in this problem m is 2/1
using point (1,3) and slope m=2/1, we have:
y - 3 = 2 (x - 1)

Thus, step 4 in Talia's solution is incorrect.


4 0
3 years ago
Read 2 more answers
Find the constants m and b in the linear function f(x) = mx + b so that f(4) = 1 and the straight line represented by f has slop
HACTEHA [7]
The equations is f(x)=-14x-55
m=-14
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I checked my answer by plugging in (4,1) which was given.
6 0
4 years ago
What is the surface area of the figure?
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582 ft.^2.

I had this test yesterday.
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3 years ago
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