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3 years ago

Jerry ran 4/3 of a mile in 4/18 of an hour. What was Jerry's rate of speed?

Mathematics

1 answer:

Jet001 [13]3 years ago

4 0

Answer:

B, 6 miles per hour

Step-by-step explanation:

1. 4/3 of a mile in 4/18 of an hour, rewrite as (4/3 / 4/18)

2. Dividing fractions is multiplying by the reciprocal, so (4/3 * 18/4)

3. (4/3 * 18/4 = 72/12)

4. 72/12 can be simplified to 6/1 or 6.

5. Answer is B, 6 miles per hour

You might be interested in

a store sells a 1 1/4 pound of turkey for 9 dollars what is the unit price of the turkey in the package

Ilya [14]

Answer:

7.20 dollars

Step-by-step explanation:

1 1/4 can be expressed as 5/4 ((1*4+1) /4)

If price of 5/4 pound of turkey = $9

Price of 1 pound of turkey = $9 / (5/4)

( Same way you'd divide the price of 2 pounds by 2 to get the price of 1 pound)

$9 / (5/4) = $7.2

6 0

3 years ago

The medians of triangle XYZ intersect at Point P. If PY=12, what is VY?

AlekseyPX

Answer:

Step-by-step explanation:

PY = $\frac{2}{3}$ YV

$\frac{2}{3}$ YV = 12

VY = 18

3 0

3 years ago

What is the solution to the equation below? riund your answer to two decimal places. (24) log(3x) = 60

Amanda [17]

The answer is: " x = 105.41 " .

_____________________________________________

Explanation:

_____________________________________________

Given: " 24 log (3x) = 60 " ; Solve for "x" .

The default is to assume "base 10" for the "logarithm".

_____________________________________________

Start by dividing each side of the equation by "24" ;

→ [ 24 log(3x) ] / 24 = 60 / 24 ;

to get:

_____________________________________________

log (3x) = 2.5 ;

_____________________________________________

Rewrite as: log₁₀ (3x) = 2.5 ;

_____________________________________________

Using the property of logarithms:

⇔ 10⁽²·⁵⁾ = 3x ;

↔ 3x = 10⁽²·⁵⁾ ;

→ 10^ (2.5) = 316.2277660168379332 ;

→ 3x = 316.227766016837933 ;

Divide each side of the equation by "3" ;

to isolate "x" on one side of the equation;

and to solve for "x" ;

→ 3x / 3 = 316.2277660168379332 / 3 ;

to get:

→ x = 105.4092553389459777333 ;

→ round to 2 (two) decimal places;

_____________________________________________

→ " x = 105.41 " .

_____________________________________________

Hope this helps!

Best wishes to you!

_____________________________________________

8 0

3 years ago

A.) 170<br> B.) 300<br> C.)280<br> D.)155<br> Please help me

pav-90 [236]

Answer:

Step-by-step explanation:

The formula for this is

∠G = 1/2(arcEH - arcHF)

We have angle G (5x - 10) and we have arcEH (195) so we have to solve for x to find the measure of arcEHF so we can add arcEH + arcHF = arcEHF

Filling in the formula with what we have:

$5x-10=\frac{1}{2}(195-(8x+17))$

which simplifies down a bit to

$5x-10=\frac{1}{2}(195-8x-17)$ which simplifies down a bit more to

$5x-10=\frac{1}{2}(178-8x)$ Multiply both sides by 2 to get rid of the fraction and get:

2(5x - 10) = 178 - 8x which of course simplifies to

10x - 20 = 178 - 8x. Now add 8x to both sides and at the same time add 20 to both sides to get:

18x = 198 so

x = 11. Now we can find the measure of arcHF:

arcHF is 8x + 17, so arcHF is 8(11) + 17 which is 105°.

arcEH + arcHF = arcEHF so

195 + 105 = arcEHF so

arcEHF = 300°

6 0

4 years ago

7% sales tax on a 59.50 toaster

strojnjashka [21]

Alright, 7% of 59.50 is 4.17

59.50 + 4.17 is 63.67

(sorry, I misread your question last time)

6 0

3 years ago