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Alina [70]
3 years ago
8

Al drives from York toward Benton at 45 mph, and Ben drives from Benton toward York at 55 mph. If York and Benton are 210 miles

apart, how long will it take them to meet?
Mathematics
2 answers:
Pepsi [2]3 years ago
5 0
In this question, <span>Al drives from York toward Benton and Ben drives from Benton toward York. That means both Al and Ben will reduce the distance between them. In this case, you need to add their velocity. The total velocity should be 45mph+55mph= 100mph

The distance will be shortened by 100mile/hour and the distance is 210 miles. Then the time should be:
time=distance/total velocity =210m/100mph= 2.1 hours </span>
Sindrei [870]3 years ago
4 0

Answer:

4- Time = Distance ÷ Rate

210 ÷ 100 = 2.1 hr, or 2 hr and 6 min

Step-by-step explanation:

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Monica paid sales tax of $2.80 when she bought a new bike helmet. If the sales tax rate was 7%, how much did the store charge fo
larisa [96]

7 % of cost price is 2.80 , What about 1%?

7 = 2.80

1 = x   (where x is the price value of 1% in dollars)

We simplify the above equation, so:

7 × x = 2.8 × 1  →  7x = 2.8 →  x = 2.8 / 7  →   x = 0.4 dollars

We know that 100%  represents the whole price,

so if 1% is 0.4 dollars, then 100% will be 0.4 × 100 = 40 dollars

Therefore the store charged $40  dollars for the helmet before tax




5 0
3 years ago
1. Find an algebraic representation for an exponential function if it is known that f(x + 1) = 4.f(x)
MrMuchimi

f(x)=4^{x-1} is the algebraic representation for an exponential function

Step-by-step explanation:

Given:

f(x + 1) = 4.f(x)

f(3) = 16

To Find:

Algebraic representation for an exponential function=?

Solution:

From the formula f(x+n) = 4^n f(x)

when n= 1, x= 3

f(3+1)= 4(1)f(3)

f(4)= 4f(3)

Substituting the value of f(3)

f(4)= 4f(3)

f(4)= 4 x 16  

f(4)= 64

f(4)=4^2

f (5) = 4^2 x 16

f (5) = 4^2 x  4^2

f(5)= 4^4

Similarly,

F(6) = 4^5

Hence, f(x)=4^{x-1}

4 0
3 years ago
6,132 ÷ 203= Divide. Enter a solution as a mixed number
Marat540 [252]

Answer:

30.2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Help please?!
Furkat [3]
Well from what i know here's what i would put........
-4 * -2 = 8 - 2 = 6
-4 * -1 = 4 - 2 = 2
-4 * 0 = 0 - 2 = -2
so it does represent a function......I really hope that helped!!

8 0
3 years ago
How many ways can a president, vis-president and treasurer be selected from a group of 15 students?
dybincka [34]

Answer:

455ways

Step-by-step explanation:

This is expressed as 15 C 3 ( C- combination)

The concept of combination is used when we talk about selection.

Now we are selecting 3 from a sample of 15

15 C 3 = 15! / (15-3)! 3! = 15 ×14×13×12!/12!×3×2

= 5 × 7 × 13 = 455ways

8 0
3 years ago
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