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3 years ago

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Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2 h, and Car B traveled the dista

nce in 1.5 h. Car B traveled 15 mph faster than Car A. How fast did Car B travel? Enter your answer for the box.
___ mph

1 answer:

nikitadnepr [17]3 years ago

8 0

I hope this helps you

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The employees of a hardware store ordered lunch from a local delicatessen. The lunch consisted of 4 turkey sandwiches and 7 orde

AleksandrR [38]

Answer:

Charges of Turkey is $6.25

Charges of French Fries is $1.90

Step-by-step explanation:

Given

Represent Turkeys with T and French Fries with F;

$4T + 7F = 38.3$

$5T + 5F = 40.75$

Required

Determine the values of T and F

$5T + 5F = 40.75$

Divide through by 5

$T + F = 8.15$

Make F the subject

$F = 8.15 - T$

Substitute 8.15 - T for F in the first equation

$4T + 7F = 38.3$

$4T + 7(8.15 - T) = 38.30$

$4T + 57.05 - 7T = 38.30$

Collect Like Terms

$4T - 7T = 38.30 - 57.05$

$-3T = -18.75$

Solve for T

$T = -18.75/-3$

$T = 6.25$

Recall that:

$F = 8.15 - T$

$F = 8.15 - 6.25$

$F = 1.90$

6 0

2 years ago

7 pipes fill a tank in 50 minutes. How many minutes does it take if there are 11 pipes?

Alekssandra [29.7K]

Answer: With 11 pipes, you need 31.82 minutes to fill the tank.

Step-by-step explanation:

Let's define R as the rate at which one single pipe can fill a tank.

We know that 7 of them can fill a tank in 50 minutes, then we have the equation:

7*R*50min = 1 tank

Whit this equation, we can find the value of R:

R = 1 tank/(7*50min) = (1/350) tank/min.

Now that we know the value of R, we can do the same calculation but now with 11 pipes.

Then the time needed to fill the tank, T, is such that:

11*(1/350 tank/min)*T = 1 tank

We need to isolate T.

T = 1 tank/(11*(1/350 tank/min)) = 31.82 min

With 11 pipes, you need 31.82 minutes to fill the tank.

5 0

3 years ago

Five thousand raffle tickets are sold for $5 each. 50 winnings numbers will be chosen, 40 of which will win $100 each and 10 of

Allisa [31]

Answer:

Step-by-step explanation:

Given

there are 50 winning number out of which 40 get $ 100 each and 10 wins $ 1000 .

let x denotes the winning from a randomly selected ticket

$x=100\ with\ Probability\ \frac{40}{5000}$

$x=1000\ with\ Probability\ \frac{10}{5000}$

Expected value is given by

$E(x)=100\times \frac{40}{5000}+1000\times \frac{10}{5000}$

$E(x)=0.8+2=2.8$

and Expected return is given by

$=100\times \frac{40}{5000}+1000\times \frac{10}{5000}-5$

$=2.8-5=$ -2.2$

5 0

2 years ago

Please help! I will give you brainliest if it is correct

nlexa [21]

Answer:

B is the correct one. Second.

6 0

2 years ago

Read 2 more answers

Quadrilateral STWR is inscribed inside a circle as shown below. Write a proof showing that angles T and R are supplementary.

AlladinOne [14]

Observe the given figure.

Here, angle T and R are the inscribed angles.

And sum of inscribed angles is half of measure of intercepted arcs.

Since, the measure of intercepted arcs is 360 degrees.

Therefore, $\angle T + \angle R = \frac{1}{2} \times 360 ^{\circ}$

$\angle T + \angle R = 180 ^{\circ}$

Hence, the sum of the two angles is 180 degrees.

Therefore, these are the supplementary angles.

Therefore, angle T and angle R are supplementary angles.

Hence, proved.

8 0

3 years ago