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4 years ago

A race

Mathematics

1 answer:

sashaice [31]4 years ago

7 0

Answer: 187.7 mph

Step-by-step explanation:

v = 125 mph

t = 1.2 min

v2 = ?

t2 = 0.8 min

We can use the rule of 3 here. It's the inverse rule of 3 because as time decreases, speed increases.

$\frac{125mph}{x} =\frac{1.2min}{0.8min}$

$x = \frac{(125)(1.2)}{0.8}$

$x=187.5mph$

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A construction crew is lengthening a road. The road started with a length of 53 miles, and the crew is adding 3 miles to the roa

Sedbober [7]

Answer:

a). L=53+3 D.... equation

b). Total length of the road after the crew has worked 31 days=146 miles

Step-by-step explanation:

Step 1

Find an expression for calculating the total length of a the road as follows;

L=F+(M×D)

where;

L=total length of the road in miles

F=starting length of the road in miles

M=number of miles per day added

D=number of days the crew has worked

In our case;

L=unknown

F=53 miles

M=3 miles per day

D=unknown

L=53+(3×D)

L=53+3 D.... equation

Solve for L when D=31 days

L=53+(3×31)

L=53+93=146

Total length of the road after the crew has worked 31 days=146 miles

7 0

4 years ago

Read 2 more answers

Help please simplify this or these 4

amm1812

Answer:

Problem 1) 5/9

Problem 2) 47/144

Problem 3) 10

Problem 4) 16

Step-by-step explanation:

Problem #1:

lets start with the parentheses.

We need to open parentheses. We will use the distributive property.

1/4*1 = 1/4

1/4 * 2/3 = 1/6

now, we have 1/4 - 1/6^2 + 1/3 as our expression

Next, we deal with exponents 1/6^2 = 1/6 * 1/6 = 1/36

Our new equation is 1/4 - 1/36 + 1/3

Pretty simple from here

1/4 - 1/36 = 9/36 - 1/36 = 8/36

8/36 + 1/3 = 2/9 + 3/9 = 5/9

Problem #2:

This one is simpler than the last one.

Again, we have to start with parentheses.

1/3*1= 1/3

1/3 * 1/4 = 1/12

new equation is 1/3 - 1/12^2

exponents next.

1/12*1/12 = 1/144

1/3-1/144 = 48/144 - 1 144 = 47/144

Problem #3:

This one is even simpler.

As usual, open parentheses first.

-4*3=-12

-4*-1=4

Now, we have -4+12+2

-4+12=8

8+2 = 10

Problem #4:

This one is the simplest of all.

There are no parentheses, so we go to exponents.

4*4 = 16

new equation is 4 - 16 / 4 + 16

Next, we do division

16 / 4 = 4

new equation is 4 - 4 + 16

4 -4 = 0

0 + 16 = 16

3 0

3 years ago

The surface area S of a single-celled organism may be found by multiplying 4π times the square of the radius r of the cell. Expr

Arte-miy333 [17]

Answer:

$S(r)=4\pi r^2$ .

Step-by-step explanation:

It is given that, the surface area S of a single-celled organism may be found by multiplying 4π times the square of the radius r of the cell.

We need to express S as a function of r.

Let r be the radius of the cell and S(r) be the surface area of single-celled organism when radius is r.

According to the question,

$S(r)=4\pi \times r^2$

$S(r)=4\pi r^2$

Therefore, the required function is $S(r)=4\pi r^2$ .

5 0

3 years ago

Help on college algebra, question is on the picture!

kodGreya [7K]

$\frac{7x+1}{x-2} + \frac{2}{x} = \frac{-4}{ x^{2} -2x}$ is given
here , $\frac{7x+1}{x-2} + \frac{2}{x} = \frac{-4}{ x^{2} -2x}$
or, $\frac{7x^{2} +x +2x-4 }{x(x-2)} = \frac{-4}{ x^{2} -2x}$
or, $\frac{7 x^{2} +3x-4}{ x^{2} -2x} = \frac{-4}{ x^{2} -2x}$
or,7x²+3x-4=-4
or,7x²+3x=0
or,x(7x+3)=0
Either,x=0| Or,7x+3=0
|or,7x=-3
|or,x= $\frac{-3}{7}$
So , the solution set is S={0,- $\frac{3}{7}$ }

8 0

3 years ago

Paul bought 12.8 pounds of apples at the farmers market. Each pound of apples cost $1.65 how much did the apples cost?

ivanzaharov [21]

Answer:

$21.12

Step-by-step explanation:

12.8 * 1.65 = 21.12

4 0

3 years ago

Read 2 more answers