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Len [333]
3 years ago
7

Car A and car B are traveling at different speeds. Car A can travel 175 miles in the same time it takes car B to travel 125 mile

s. If car A travels 20 mph faster than car B, how fast (in mph) is car B traveling? (Enter an exact number.)
Mathematics
1 answer:
slega [8]3 years ago
8 0

Answer:

The speed of car B is 50 mile per hour

Step-by-step explanation:

Given as :

The Distance travel by car A = 175 miles

The Distance travel by car B = 125 miles

The Time taken by both car A and B is same = T hours

Let The speed of car B = S mile per hour

So, The speed of car A = ( S + 20 ) mile per hour

Now, Time = \frac{Distance}{Speed}

So , For Car A ,

T = \frac{175}{(S + 20 )}

For Car B ,

T = \frac{125}{(S}

So, \frac{175}{(S + 20 )}  = \frac{125}{(S}

Or, 175 × S = 125 × ( S + 20 )

Or, 175 S - 125 S = 125 × 20

Or, 50 S = 2500

∴  S = \frac{2500}{(50}

I.e S = 50 mph

And S + 20 = 50 + 20 = 70 mph

The speed of car A = 70 mph

The speed of car B = 50 mph

Hence The speed of car B is 50 mile per hour  Answer

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Which points lie on the line whose equation is 8x - 2y + 7 = -9? Select all that apply.
Anestetic [448]

Answer:

A.(-2, 0)

C. (-1.4)

Step-by-step explanation:

we know that

If a point lie on the line, then the point must satisfy the equation of the line (makes the equation true)

we have

8x-2y+7=-9

subtract 7 both sides

8x-2y=-9-7

8x-2y=-16

divide by 2 both sides

4x-y=-8

Substitute the value of x and the value of y of each point in the linear equation and analyze the result

<u><em>Verify each point</em></u>

case A) we have

(-2, 0)

For x=-2, y=0

substitute

4(-2)-(0)=-8

-8=-8 ---> is true

so

the point lie on the line

case B) we have

(1, 3)

For x=1, y=3

substitute

4(1)-(3)=-8

1=-8 ---> is not true

so

the point not lie on the line

case C) we have

(-1, 4)

For x=-1, y=4

substitute

4(-1)-(4)=-8

-8=-8 ---> is true

so

the point lie on the line

case D) we have

(1, -4)

For x=1, y=-4

substitute

4(1)-(-4)=-8

8=-8 ---> is not true

so

the point not lie on the line

case E) we have

(0, -1)

For x=0, y=-1

substitute

4(0)-(-1)=-8

1=-8 ---> is not true

so

the point not lie on the line

7 0
3 years ago
Suppose that IQ scores have a bell-shaped distribution with a mean of
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Answer:

68 %

Step-by-step explanation:

The Empirical rule formula states that:

• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

Mean of 96 and a Standard deviation of 17

Applying , the first empirical rule for 1 standard deviation from the mean, we have:

μ - σ

96 - 17

= 79

μ + σ

96 + 17

= 113

Therefore, the percentage of IQ scores that are between 79 and 113 is 68%

6 0
3 years ago
Find the value of this fraction 6 x 1/2 + 2/3 + 3/4 ​
kodGreya [7K]

Answer:

\frac{53}{12} or 4 \frac{5}{12}

Step-by-step explanation:

\frac{6}{1}  \times  \frac{1}{2}  = 3

\frac{3}{1}  +  \frac{2}{3}  +  \frac{3}{4}  = ...

Find the common denominator, which is 12

\frac{36}{12}  +  \frac{8}{12}  +  \frac{9}{12}  =

Now add them

\frac{36}{12}   +  \frac{8}{12}  =  \frac{44}{12}  +  \frac{9}{12}  =  \frac{53}{12}

Simplified version is

4 \frac{5}{12}

3 0
3 years ago
What is best definition of an exterior angle of a triangle
olga_2 [115]

an angle that forms a linear pair with one of the interior angles of the trinagle.(Apex)

3 0
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