All categories

3 years ago

87 pencils come in a box. If 3 teachers share 6 boxes equally, how many pencils does each teacher receive?

Mathematics

1 answer:

GalinKa [24]3 years ago

3 0

Answer:

Each teacher got 174 pencils

Step-by-step explanation:

First time 87X6 and then divide 3

You might be interested in

Which relationship has a zero slope?

kow [346]

The second one (straight line parallel to the y axis)

4 0

2 years ago

Read 2 more answers

Please dont steal points only real answers

morpeh [17]

1. 4 1/5
2. 11/24
3. 12 1/4
4. 2
5. 3 5/12

I did the math but I’m sorry if it’s not all correct

8 0

3 years ago

A cable hangs between two poles of equal height and 35 feet apart. At a point on the ground directly under the cable and x feet

gayaneshka [121]

Answer:

293.38 pounds

Step-by-step explanation:

We are given that

Distance between poles=35 feet

$h(x)=10+0.1(x^{1.5})$

Weight of cable=10.4 per linear foot

We have to find the weight of the cable.

Differentiate w.r.t

$h'(x)=0.1(1.5)x^{0.5}=0.15x^{0.5}$

$s=2\int_{0}^{17.5}\sqrt{1+(h'(x))^2}dx$

$s=2\int_{0}^{17.5}\sqrt{1+(0.15x^{0.5})^2}dx$

$s=2\int_{0}^{17.5}\sqrt{1+0.0225x}dx$

Let $1+0.0225x=t$

$dx=\frac{1}{0.0225}dt$

$s=\frac{2}{0.0225}\int_{0}^{17.5}\sqrt{t}dt$

$s=\frac{2}{0.0225}\times\frac{2}{3}[t^{\frac{3}{2}}]^{17.5}_{0}$

$s=2\times \frac{2}{3\times0.0225}[(1+0.0255x)^{\frac{3}{2}]^{17.5}_{0}$

$s=\frac{4}{3\times 0.0225}((1+0.0225(17.5))^{\frac{3}{2}-1)$

s=28.21

Weight of cable= $28.21\times 10.4=293.38$ pound

8 0

3 years ago

Six times a number plus 4 is the same as the numver minus 11

Brrunno [24]

6xn+n-11 so n=6

6x6=36+6=42-11 is 31

3 0

3 years ago

(8x^2+2x-6)-(5^2-3x+2)

FrozenT [24]

The answer to this math equation would be 8x^2+5x-33

4 0

3 years ago