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mote1985 [20]
2 years ago
8

Two cars are driving toward each other from opposite directions. If one is driving 55 mph, the other is driving 60 mph, and the

cars are 500 miles apart, how long will it be before they pass each other?
Mathematics
2 answers:
Yakvenalex [24]2 years ago
5 0
[Question-2] 
<span>T(55 + 60) = 500 </span>
<span>T(115) = 500 </span>
<span>T = 500/115 </span>
<span>T = 4.3478260869565217391304347826087 hours </span>

<span>Rounding to the nearest tenth gives 4.3 </span>

<span>A is the answer </span>
VARVARA [1.3K]2 years ago
4 0
Your answer will be at 300 miles, because the speed of one, and the rate of the other meet at the 300 mile mark
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5x377337737=1.886688687
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3 years ago
7. A clothing salesman wants to earn $6,000 in May. He receives a base salary of $4,000 per month as well as 10%
olya-2409 [2.1K]

Answer:

No of clothes to be sold to gain $6000=20,000

Given:

Base salary = $4000

Rate of Commission = 10%

Amount salesman wants to earn in May = $6000

To find:

How much clothing units needed to be sold in order gain $6000 in may

<u>Step by Step Explanation: </u>

Solution;

According to the formula;

\text { Amount earned through commission }=\text { Total amount earned - Base salary }

=6000 - 4000 = 2000

Also we know,  

\text { Amount earned through commission }=\text { Rate of Commission } \times \text { clothing to be sold }

Let the commission amount be x

10 \% \times x=2000

10 / 100 \times x=2000

0.1 \times x=2000

x=20,000 \div 0.1

x=20,000

Result:

Hence, the clothing to be sold in order to earn $6000 is 20,000 units.

4 0
3 years ago
By decreasing each dimension by 1 unit, the area of a rectangle deceased from 40 square feet to 28 square feet. Find the percent
arsen [322]

Answer:

30%

Step-by-step explanation:

Initial area is 40 square feet

Final area is 28 square feet

Difference between the initial and final areas will be 40-28=12 square feet

Taking the initial area as the base area and expressing the area change in percentage then the percentage decrease will be equivalent to

\frac {12\times 100}{40}=30

Therefore,  the decrease in area expressed as a percentage is equal to 30%

8 0
3 years ago
A total of 200 songs were played at a party in the ratio of 3 : 2 : 5. if the amount representing Vybez Kartel is 5 How many of
Jobisdone [24]

Answer:

100

Step-by-step explanation:

Because it would be the most common it would make no sense if any of the other options would represent the value of 2 and 3 if it had it would go over the amount of 200. But if they were represented by numbers 3 would be 60 and 2 would be 40 multiplying by two and ofc 5 would be 100.

6 0
2 years ago
Read 2 more answers
A kite 100 ft above the ground moves horizontally at a speed of 6 ft/s. At what rate is the angle (in radians) between the strin
arlik [135]

Answer:

0.015 radians per second.

Step-by-step explanation:

They tell us that at the moment the speed would be 6 ft / s, that is, dx / dt = 6 and those who ask us is dθ / dt.

Which we can calculate in the following way:

θ = arc sin 100/200 = pi / 6

Then we have the following equation of the attached image:

x / 100 = cot θ

we derive and we are left:

(1/100) * dx / dt = - (csc ^ 2) * θ * dθ / dt

dθ / dt = 0.01 * dx / dt / (- csc ^ 2 θ)

dθ / dt = 0.01 * 6 / (- csc ^ 2 pi / 6)

dθ / dt = 0.06 / (-2) ^ 2

dθ / dt = -0.015

So there is a decreasing at 0.015 radians per second.

3 0
2 years ago
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