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Maslowich
2 years ago
15

Which is bigger? 1/3 foot or 5 inches? It can also be equal.

Mathematics
1 answer:
zhannawk [14.2K]2 years ago
5 0

5 inches is bigger than 1/3 foot OR 1/3 foot is lesser than 5 inches. That is, 1/3 foot < 5 inches

4 miles is bigger than 7000 yards. That is, 4 miles > 7000 yards

8 yards is equal to 24 feet. That is, 8 yards = 24 feet

<h3>Calculating the value of a quantity </h3>

From the question, we are to determine which of the given quantities are bigger or equal

  • 1/3 foot or 5 inches

NOTE: 1 foot = 12 inches

If 1 foot = 12 inches

Then,

1/3 foot = 1/3 × 12

1/3 foot = 4 inches

∴ 5 inches is bigger than 1/3 foot. That is, 1/3 foot < 5 inches

  • 4 miles or 7,000 yards.

NOTE: 1 mile = 1760 yards

If 1 mile = 1760 yards

Then,

4 miles = 4 ×1760 yards

4 miles = 7040 yards

Hence, 4 miles is bigger than 7000 yards. That is, 4 miles > 7000 yards  

  • 8 yards or 24 feet

NOTE: 1 yard = 3 feet

If 1 yard = 3 feet

Then,

8 yards = 8 × 3 feet

8 yards = 24 feet

Hence, 8 yards is equal to 24 feet. That is, 8 yards = 24 feet

Learn more on Calculating the values of quantities here: brainly.com/question/400890

#SPJ1

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Answer:

yes

Step-by-step explanation:

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3 years ago
On Monday, Florencia's hair was hhh centimeters long. She got a haircut on Tuesday, so her hair was only 75%,of the length it wa
tresset_1 [31]

Answer:

.75h

Step-by-step explanation:

Given that length of the hair of Florencia on Monday = h centimeters. So new length of the hair of Florencia on Tuesday = 75% of Monday value

= 75% of (h)

= 0.75* (h)

= 0.75h

3 0
3 years ago
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Mia is touring New York City with her family. They want to visit the Empire State Building, Central Park, and Times Square befor
Anna [14]

Answer:

3:45pm

Step-by-step explanation:

the reason behind my answer is that in adding all the time they wanted to spend doing things around NYC it totaled 5 hours. 5 hours before 8:45pm is 3:45pm.

3 0
2 years ago
Red bricks and grey bricks were used to build a decorative wall. The number of red bricks divided by number of grey bricks was 5
azamat
Red bricks : Grey bricks
        5        :            2

Total parts = 5 + 2 = 7

7 parts = 224
-----------------------
Find 1 part:
-----------------------
1 part = 234 ÷ 7
1 part = 32

-----------------------
Find 5 parts:
-----------------------
5 parts = 32 x 5 
5 parts = 160

----------------------------------------------
Answer: 160 Red bricks
----------------------------------------------
5 0
3 years ago
A certain college graduate borrows 7864 dollars to buy a car. The lender charges interest at an annual rate of 13%. Assuming tha
White raven [17]

Answer:

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = =$1573.17

Step-by-step explanation:

Consider A represent the balance at time t.

A(0)=$ 7864.

r=13 % =0.13

Rate payment = $k

The balance rate increases by interest (product of interest rate and current balance) and payment rate.

\frac{dB}{dt} = rB-k

\Rightarrow \frac{dB}{dt} - rB=-k.......(1)

To solve the equation ,we have to find out the integrating factor.

Here p(t)= the coefficient of B =-r

The integrating factor =e^{\int p(t) dt

                                     =e^{\int (-r)dt

                                     =e^{-rt}

Multiplying the integrating factor the both sides of equation (1)

e^{-rt}\frac{dB}{dt} -e^{-rt}rB=-ke^{-rt}

\Rightarrow  e^{-rt}dB - e^{-rt}rBdt=-ke^{-rt}dt

Integrating both sides

\Rightarrow \int e^{-rt}dB -\int e^{-rt}rBdt=\int-ke^{-rt}dt

\Rightarrow e^{-rt}B=\frac{-ke^{-rt}}{-r} +C        [ where C arbitrary constant]

\Rightarrow B(t)=\frac{k}{r} +Ce^{rt}

Initial condition B=7864 when t =0

\therefore 7864= \frac{k}{r} - Ce^0

\Rightarrow  C= \frac{k}{r} -7864

Then the general solution is

B(t)=\frac{k}{r}-( \frac{k}{r}-7864)e^{rt}

To determine the payment rate, we have to put the value of B(3), r and t in the general solution.

Here B(3)=0, r=0.13 and t=3

B(3)=0=\frac{k}{0.13}-( \frac{k}{0.13}-7864)e^{0.13\times 3}

\Rightarrow- 0.48\frac{k}{0.13} +11614.98=0

⇒k≈3145.72

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = ${(3145.72×3)-7864}

                                                 =$1573.17

4 0
3 years ago
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