Write 5 as a fraction with 5 in the denominator

A road crew can pave 2/5 km in 1 1/2 hours.how many km of road can they pave in 10 hours?

andrey2020 [161]

Answer:

8/3 km

Step-by-step explanation:

we can represent the given information on a table:

Kilometers time (hours)

2/5 ⇔ 1 1/2

and since we want to know how many kilometers (x) will be paved on 10 hours:

Kilometers time (hours)

2/5 ⇔ 1 1/2

x ⇔ 10

The relationship these 3 numbers have can be described by using the <u>rule of three,</u> which is to multiply the cross quantities on the table (2/5 by 10) and then divide by the remaining amount (1 1/2):

x = $\frac{2}{5}*10$ ÷ $1\frac{1}{2}$

x = $\frac{20}{5}$ ÷ $1\frac{1}{2}$

we use $1\frac{1}{2}=\frac{3}{2}$

x = $\frac{20}{5}$ ÷ $\frac{3}{2}$

and we make the division:

x = $\frac{20}{5}$ ÷ $\frac{3}{2}$ = $\frac{20*2}{5*3}=\frac{40}{15}$

we simplify the fraction by dividing the numerator and denominator both by 5, and we get the result:

x = $\frac{8}{3}$

thus, in 10 hours the crew will pave 8/3 km. Which is about 2.66 km.

6 0

3 years ago

25 POINTS!!!!

Kamila [148]

Answer: $509

Step-by-step explanation:

Given : Gabe is getting married in three years and wants to save $20,000 for his wedding. He opens an account earning 6% interest, compounded monthly.

According to the given description, we have

A= $20,000 , r= 6%=0.06 , t= 3 years , n= 12 [1 yearn = 12 months]

Formula to find Periodic monthly deposit :-

$P=\dfrac{A\left(\dfrac{r}{n}\right)}{\left(1+\dfrac{r}{n}\right)^{\left(n\cdot t\right)}-1}$

Substitute given values in the above formula , we get

$P=\dfrac{20000\left(\dfrac{0.06}{12}\right)}{\left(1+\dfrac{0.06}{12}\right)^{\left(3\cdot12\right)}-1}\\\\=\dfrac{100}{1.19668052482-1}\\\\=\dfrac{100}{0.19668052482}=508.438749031\approx509$

Hence, the periodic monthly deposit (payment) needed to achieve a balance of $20,000 after three years= $509.

8 0

3 years ago

Write a real word problem that can be modeled by 4 x (-7)

MrMuchimi

Answer:

The bakery also has 4 cakes, and Yena wants to get 7 times the cake from the bakery. How much will all of Yena take?

Step-by-step explanation:

5 0

2 years ago

Find the X intercept and the Y intercept of the graph of the equation. 9/8x+8y=18

aleksandr82 [10.1K]

Answer:

$\large\boxed{x-intercept=16\to(16,\ 0)}\\\boxed{y-intercept=\dfrac{9}{4}\to\left(0,\ \dfrac{9}{4}\right)}$

Step-by-step explanation:

$\dfrac{9}{8}x+8y=18\\\\x-intercept\ \text{is for}\ y=0:\\\\\dfrac{9}{8}x+8(0)=18\\\\\dfrac{9}{8}x+0=18\\\\\dfrac{9}{8}x=18\qquad\text{multiply both sides by}\ \dfrac{8}{9}\\\\\dfrac{8\!\!\!\!\diagup^1}{9\!\!\!\!\diagup_1}\cdot\dfrac{9\!\!\!\!\diagup^1}{8\!\!\!\!\diagup_1}x=\dfrac{8}{9\!\!\!\!\diagup_1}\cdot18\!\!\!\!\!\diagup^2\\\\x=16\\\\y-intercept\ \text{is for}\ x=0:\\\\\dfrac{9}{8}(0)+8y=18\\\\0+8y=18\\\\8y=18\qquad\text{divide both sides by 8}\\\\y=\dfrac{18}{8}\\\\y=\dfrac{9}{4}$

8 0

3 years ago

Read 2 more answers

What is the Greaset common factor of 26 56 84?

wariber [46]

Answer:

Based on what I know the answer is 28.

Step-by-step explanation: I know that it is 28 because I listed all of the factors on a piece of paper and matched them all up and saw that the answer was 28.

3 0

3 years ago