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3 years ago

15

a builder needs 1,044 nails to finish a project. if the nails come in packages of 58, how many packages should the builder purch

ase

1 answer:

Natali [406]3 years ago

4 0

9514 1404 393

Answer:

18

Step-by-step explanation:

(1044 nails)/(58 nails/pkg) = 18 pkg

The builder should purchase 18 packages of nails.

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The area of a blackboard is 1 1 third square yards. A poster's area is 8 over 9 square yards. What is the unit rate of the black

Darya [45]

Step-by-step explanation:

Given that,

The area of a blackboard is $1\dfrac{1}{3}=\dfrac{4}{3}\ \text{yards}^2$

The area of poster is $\dfrac{8}{9}\ \text{yards}^2$

We need to find the unit rate of the blackboard's area to the poster's area. So, it can be calcualted by dividing blackboard's area to the poster's area.

So,

$\dfrac{\dfrac{4}{3}}{\dfrac{8}{9}}=\dfrac{4}{3}\times \dfrac{9}{8}\\\\=1.5$

So, the rate of $1.5\ \text{yard}^2$ .

6 0

3 years ago

I need help with the number one

Sedbober [7]

Answer:

0,2 1,4 2,6 3,8 4,10 5,12 6,14

Step-by-step explanation:

4 0

3 years ago

Simplify (2-1)+3^2÷3

sergeinik [125]

I believe the answer to your question is 4

8 0

4 years ago

Read 2 more answers

If thewronskian w of f and g is 3e4t,and if f(t) = e2t,find g(t).

ehidna [41]

$W(f(x),g(x))=\begin{vmatrix}f(x)&g(x)\\f'(x)&g'(x)\end{vmatrix}=f(x)g'(x)-g(x)f'(x)$

We have $f(t)=e^{2t}\implies f'(t)=2e^{2t}$ , so

$W(f(t),g(t))=e^{2t}g'(t)-2e^{2t}g(t)=3e^{4t}$
$\implies e^{-2t}g'(t)-2e^{-2t}g(t)=3$
$\implies\dfrac{\mathrm d}{\mathrm dt}[e^{-2t}g(t)]=3$
$\implies e^{-2t}g(t)=\displaystyle\int3\,\mathrm dt$
$\implies e^{-2t}g(t)=3t+C$
$\implies g(t)=3te^{2t}+Ce^{2t}$

where $C$ is any arbitrary constant.

8 0

4 years ago

Spencer owns horses, and the nearest horse vet is 8 centimeters away from Spencers stable on a map. If the scale of the map is 1

Deffense [45]

Answer:

The actual distance is 56 km

Step-by-step explanation:

We can use ratio's to solve this problem

1 cm 8cm

---------- = -----------------

7 km x km

Using cross products

1 * x = 8 * 7

x = 56

x = 56 km

4 0

3 years ago