Ask question

Ask question

All categories

3 years ago

11

If 160 is divided by x, then the remainder is 4. What is the remainder when 315 is divided by x?

1 answer:

frutty [35]3 years ago

4 0

Let us rewrite this equation as:
<em>160/x = some number + 4/x
</em>we can assume that some number of x's can fit into 160, but x is greater than 4 so we have a remainder.
We can figure out by using the remainder that x is completely divisible into (160-4) or 156. Knowing this we can assume that x is some factor of 156 that is greater than 4.
Let us list the factors of 156
1,2,3,4,6,12,13,26,39,52,78,156
Now let us refer back to the restrictions we put on x.
<em>x must be > 4 as anything less than 4 would divide at least 1 more time into it. So now we are left with a bunch of other factors. And the cool thing is that all of the factors excluding anything that is = or < 4 all work for getting a remainder of 4. Thus we can use the largest factor and set it equal to x.
</em>So x = 156
then if we divide 315 by x or <em>315/x = 315/156 = 2 and a remainder of 3
so the answer would be 3.</em>

You might be interested in

An architect designs a castle tower for a new attraction at a popular amusement park. Blueprints of the tower, which is in the s

marin [14]

Answer:

<u>The surface area of the tower is 5,218.1 m²</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the blueprint = 47 cm

Length of the blueprint = 23 cm

Width of the blueprint = 25 cm

Scale factor 1 : 96

2. Calculate the actual surface area of the tower and enter your answer in square meters with two decimal places.

Let's calculate the measurements of the actual tower:

Height of the blueprint = 47 * 96 = 4,512 cm = 45.12 m

Length of the blueprint = 23 * 96 = 2,208 cm = 22.08 m

Width of the blueprint = 25 * 96 = 2,400 cm = 24 m

Now, let's calculate the surface area of the tower, this way:

Surface area of the tower = 2* (24 * 22.08) + 2 * (45.12 * 22.08) + 2 * (45.12 * 24)

Surface area of the tower = 1,059.84 + 1,992.5 + 2,165.76

<u>Surface area of the tower = 5,218.1 m²</u>

4 0

3 years ago

A store sells almonds for $7 per pound, cashews for $10 per pound, and walnuts for $12 per pound. A customer buys 12 pounds of m

shepuryov [24]

Answer:

b

Step-by-step explanation:

I did it on edge 2021

5 0

2 years ago

What is the approximate volume of a cone with a radius of 15 cm and a height of 4 cm? Round your answer to the nearest hundredth

vichka [17]

Answer:

Volume of a cone $=942.86cm^3$

Step-by-step explanation:

Given that the radius of a cone is 15cm and its height is 4cm

That is r=15cm and h=4cm

To find the volume of a cone :

volume of a cone $=\frac{\pi r^2h}{3}$ cubic units

Now substitute the values in the formula we get

volume of a cone $=\frac{(\frac{22}{7}) (15)^2(4)}{3}$

$=\frac{(\frac{22}{7}) (225)(4)}{3}$

$=\frac{19800}{21}$

$=942.857$

Now round to nearest hundredth

$=942.86$

Therefore Volume of a cone $=942.86cm^3$

6 0

3 years ago

Duncan cycled from Town A to Town B at a speed of 12 km/h. He took 3 hours to cover of the trip. Find the distance between the t

madam [21]

If he travels 12km/h for 3 hours then he went 36km in 3hr. The answer is 36km.

5 0

3 years ago

Read 2 more answers

Help need to be done soon

nikitadnepr [17]

<u>Given</u>:

Given that the measure of arc DF is 162°

We need to determine the measure of ∠E

<u>Measure of ∠E:</u>

The measure of ∠E can be determined using the inscribed angle theorem.

Thus, by inscribed angle theorem, we have;

$\angle E=\frac{1}{2}(m \widehat{DF})$

Substituting $m \widehat{DF}=162^{\circ}$ , we get;

$\angle E=\frac{1}{2}(162^{\circ})$

Dividing, we get;

$\angle E=81^{\circ}$

Thus, the measure of ∠E is 81°

6 0

3 years ago