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AURORKA [14]
3 years ago
6

Laura drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 8 hours. when laura drove

home, there was no traffic and the trip only took 6 hours. if her average rate was 16 miles per hour faster on the trip home, how far away does laura live from the mountains
Mathematics
1 answer:
TEA [102]3 years ago
5 0
I'm pretty sure it would be 96 miles away from the mountains because if you were to do 16 x 6 then you would get 96. It says 16 miles per hour on her way home so you just multiply the miles and hours and that's your answer . Answer = 96
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8 0
3 years ago
Read the following and answer the questions that follow.
user100 [1]

Answer:

Step-by-step explanation:

(7/12) of 840 attended the concert:

(7/12)*(840) = 490 students attended the Spring Concert.

(840 - 490) = 350 did not attend

(350/840) is the fraction of students who did not attend.  This can be reduced to (35/84)

(350/840) = 0.4167 or 41.67% did not attend.  

3 0
2 years ago
PLEASE HELP !!!!!!! For what value of x is line m parallel to line n? Enter your answer in the box. x = Line m is parallel to li
Sonja [21]

Answer:

x=10

Step-by-step explanation:

we know that

When two lines are crossed by another line (transversal), the angles in matching corners are called Corresponding Angles.

When the line are parallel the corresponding angles are equal in measurement.

so

In this problem

(8x+50)\°=130\° -----> by corresponding angles

see the attached figure to better understand the problem

Solve for x

Subtract 50 both sides

8x=130-50

8x=80

Divide by 8 both sides

x=80/8

x=10

7 0
3 years ago
X-y=6<br> 2x-3z=16<br> 2y+z=4<br><br> Solve the systems of equations.
Neko [114]

Answer:

Given System of equation:

x-y =6                                  .....,[1]

2x-3z = 16                           ......[2]  

2y+z = 4                              .......[3]

Rewrite the equation [1] as

y = x - 6                                .......[4]

Substitute the value of [4] in [3], we get

2(x-6)+z = 4

Using distributive property on LHS ( i.e,  a \cdot (b+c) =a \cdot b+ b \cdot c )

then, we have

2x - 12 +z =4

Add 12 to both sides of an equation:

2x-12+z+12=4+12

Simplify:

2x +z = 16                         .......[5]

On substituting equation [2] in [5] we get;

2x+z=2x -3z

or

z = -3z

Add 3z both sides of an equation:

z+3z = -3z+3z

4z = 0

Simplify:

z = 0

Substitute the value of z = 0 in [2] to solve for x;

2x-3(0) = 16

or

2x = 16

Divide by 2 both sides of an equation:

\frac{2x}{2} =\frac{16}{2}

Simplify:

x= 8

Substitute the value of x =8 in equation [4] to solve for y;

y = 8-6 = 2

or

y = 2

Therefore, the solution for the given system of equation is;  x = 8 , y = 2 and z =0

5 0
3 years ago
Loretta and her family are going on vacation. Their destination is 610 miles from their home. Loretta is going to share some of
alexandr402 [8]
Loretta:
Average driving speed = 55 mph
Time = 4 hours
Distance traveled = 55*4 = 220 miles

Dad:
Average driving speed = 65 mph
Let x =  hours driven
Distance traveled = 65x miles

The length of the trip is 610 miles, therefore
65x + 220 = 610
65x = 390
x = 6  hours

Answer: Loretta's dad drove for 6 hours.
7 0
3 years ago
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