Which of the equations is graphed below? A.) Y=X B.) Y=2X C.) Y=-2X D.) Y=-X

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

slega [8]

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

8 0

3 years ago

What factors does 28 and 44 have in common

Vlad [161]

The factors that 28 and 44 have in common are 1,2, and 4

3 0

3 years ago

What is the sum of the roots of the polynomial shown below f(x)=x^3-8x^2-23x+30

Serhud [2]

F(1)=0 so x=1 is a zero => x-1 is a factor 1 | 1 -8 -23 30 | 1 -7 -30 --------------------- 1 -7 -30 | 0 x^2-7x-30 is another factor x^2-7x-30=(x-12)(x+5) x=12, x=-5 our roots too s0 1+12+(-5)=13-5=8

8 0

3 years ago

Read 2 more answers

Solve the formula y = mx b for m. a. (y minus b) x c. startfraction y minus b over x endfraction b. y minus b minus x d. startfr

sweet-ann [11.9K]

The given equation of the formula, y = mx + b, on solving for m by isolating it gives, m = (y - b)/x, making option C the right choice.

In the question, we are given the formula y = mx + b and are asked to solve the given formula for m.

To solve the equation for m, we need to isolate m to one side of the equation, and all other variables to the other side. This can be done as follows:

The given equation is:

y = mx + b.

Changing the sides of the equation gives us:

mx + b = y.

Subtracting b from both sides of the equation gives us:

mx + b - b = y - b,

or, mx = y - b {Simplifying}.

Dividing both sides of the equation by x gives us:

mx/x = (y - b)/x,

or, m = (y - b)/x {Simplifying}.

Thus, we have now isolated m to one side of the equation.

Thus, the given equation of the formula, y = mx + b, on solving for m by isolating it gives, m = (y - b)/x, making option C the right choice.

Learn more about isolating a variable at

brainly.com/question/1682776

#SPJ4

4 0

2 years ago

Question 6 Unsaved

Andreyy89

Question (6)

To answer this question we will find out both probabilities one by one and then we will multiply both probabilities.

Probability of getting a number card from standard deck will be

$\frac{9\cdot 4}{52}=\frac{36}{52}$

Probability of getting one ace will be $\frac{4}{51}$ as we are given that second card is drawn without replacement.

To find the probability of choosing a number card and then an ace without replacement will be,

$=\frac{4}{51}\cdot \frac{36}{52}=\frac{36}{13\cdot 51}\\
\\
=\frac{12}{13\cdot 17}=\frac{12}{221}$

Therefore, first option is the correct choice.

Question (7)

Let us find out probability that Shironda will get an even number after rolling a cube. We know that a standard dice contains 3 even and 3 odd numbers.

Probability of getting an even number = $\frac{3}{6}=\frac{1}{2}$ .

Now let us find out probability of getting a black card from the deck.

Probability of getting a black card,

= $\frac{2\cdot 13}{52}=\frac{26}{52}=\frac{1}{2}$

Now we can get probability of getting an even number and a black card by multiplying both probabilities.

$\frac{1}{2}\cdot \frac{1}{2}=\frac{1}{4}$

Therefore, probability of getting an even number and a black card is 1/4.

8 0

4 years ago

Which of the equations is graphed below?A.) Y=XB.) Y=2XC.) Y=-2XD.) Y=-X​

Which of the equations is graphed below?A.) Y=XB.) Y=2XC.) Y=-2XD.) Y=-X