All categories

2 years ago

Which expression is a sum of a number and a product?

Mathematics

1 answer:

MrMuchimi2 years ago

5 0

Step-by-step explanation:

a(b+c)

this type of expression show sum of number and product.

You might be interested in

A line that is perpendicular to y=-4-10 passing through the point (8,11)

guapka [62]

Answer:

Step-by-step explanation:

11=4(8)+b

11=32+b

-21=b

y=4x-21

i think

4 0

2 years ago

The diameter of a circle is 16 kilometers. Find the area of the circle.

Elden [556K]

The diameter of a circle is 16 kilometers. Then the area of the circle is $201.062 \mathrm{km}^{2}$

Solution:

Given that , the diameter of a circle is 16 kilometers

We have to find the area of the circle .

Radius is half of diameter.

$\begin{array}{l}{\text { diameter }=2 \times \text { radius } \rightarrow \text { radius }=\frac{\text {diameter}}{2}} \\\\ {\rightarrow \text { radius }=\frac{16}{2} \rightarrow \text { radius }=8 \text { kilometers. }}\end{array}$

The area of circle is given as:

$\begin{array}{l}{\text { area of a circle }=\pi \times r^2 \\ {\text { Area of a circle }=\pi \times 8^{2}=\pi \times 64=64 \times 3.14=201.062}\end{array}$

Hence, the area of the circle is 201.062 $km^2$

4 0

3 years ago

Find the value of the variable and MN if N is between M and Q. Round to the nearest hundredth if necessary.

Rudiy27

Answer:
MN = 4 units

Explanation:
1- getting the value of m:
We are given that:
NQ = 4m and NQ = 12
This means that:
12 = 4m
$\frac{4m}{4} = \frac{12}{4}$
m = 3

2- getting MQ:
We are given that:
MQ = 5m + 1
We have calculated that:
m = 3
Therefore:
MQ = 5(3) + 1 = 15 + 1 = 16 units

3- getting MN:
We are given that point N is located somewhere between points M and Q.
This means that:
line MQ can be divided into two portions: MN and NQ
This also means that:
length of MQ = length of MN + length of NQ

We have calculated that:
MQ = 16 units
We are given that:
NQ = 12 units
Therefore:
16 = length of MN + 12
length of MN = 16 - 12
length of MN = 4 units

Hope this helps :)

3 0

2 years ago

If f(x) = - 8x +2 then f^-1(x) =

mrs_skeptik [129]

Answer:

f^-1(x) = -1/8x +1/4

Step-by-step explanation:

To find the inverse of a function

Exchange x and y and then solve for y

y =-8x+2

Exchange x and y

x = -8y+2

Now solve for y

Subtract 2 from each side

x-2 = -8y+2-2

x-2 = -8y

Divide by -8

(x-2)/-8 = -8y/-8

Distribute

-1/8x +1/4 = y

f^-1(x) = -1/8x +1/4

3 0

3 years ago

How do you simplify 3 1/4 x 3/5 someone please help me

kifflom [539]

Answer:

We want to simplify:

(3 + 1/4)*(3/5)

The first step is to write the first term as a single rational number.

We know that:

3*1 = 3

and 4/4 = 1

then:

3*1 = 3*(4/4) = (3*4)/4 = 12/4

We do this because we want to have the same denominator in both numbers, so we can directly add them.

Then we get:

(3 + 1/4)*(3/5) = (12/4 + 1/4)*(3/5) = (13/4)*(3/5)

And remember that in the multiplication of rational numbers the numerator are multiplied together and the same for the denominators, then we get:

(13/4)*(3/5) = (13*3)/(4*5)

If we solve the multiplications we get:

(13*3)/(4*5) = (39/20)

Now, we can notice that in the numerator we have two prime numbers, 13 and 3.

And in the denominators, we have a 4 (which is equal to 2*2) and a 5.

So the prime numbers in the numerator and the denominator are all different, this means that we can not simplify it furthermore.

Then we have:

(3 + 1/4)*(3/5) = (39/20)

6 0

2 years ago