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White raven [17]
3 years ago
13

Express the following English phrase using an algebraic expression. The quotient of some number y and 6 increased by the product

of 2 and some number x.
Mathematics
1 answer:
castortr0y [4]3 years ago
3 0

Answer:

y/6 + 2x

Step-by-step explanation:

To write this expression, let's take it step by step.

The quotient of some number y and 6 implies that 6 divides y:

y/6

Increased by the product of 2 and some number x implies that the previous expression is summed with 2x:

y/6 + 2x

Hence, our final expression is as such:

y/6 + 2x

Cheers.

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Michael's dad is 30 years of age. He is 2 years more than four times Michaels age m. Write and solve a two-step equation to dete
Ksenya-84 [330]

Answer:

The two step equation that we can use to find michael's age is x = (f-2)/4 where f = 30. So Michael is 7 years old.

Step-by-step explanation:

In order to solve this problem we will attribute variables to the ages of Michael and his father. For his father age we will attribute a variable called "f" and for Michael's age we will attribute a variable called "x". The first information that the problem gives us is that Michael's dad is 30 years of age, so we have:

f = 30

Then the problem states that the age of the father is 2 years "more" than four "times" Michaels age. The "more" implies a sum and the "times" implies a product, so we have:

f = 2 + 4*x

We can now find Michael's age, for that we need to isolate the "x" variable. We have:

f - 2 = 4*x

4*x = f - 2

x = (f-2)/4

x = (30 - 2)/4 = 7 years

The two step equation that we can use to find michael's age is x = (f-2)/4 where f = 30. So Michael is 7 years old.

7 0
4 years ago
Read 2 more answers
The coordinates of the endpoints of directed line segment ABC are A(-8,7) and C(7,-13). If AB:BC = 3:2, the coordinates of B are
Greeley [361]

Answer:

The coordinates of B are (1,-5).

Step-by-step explanation:

To find the coordinates of point B we will apply section formula.

Its used to find out if any line segment is of any m_1: m_2 ratios.

As the lie segment is joining the points internally we will use section formula for internal points.

Lets say that B is having coordinates (k,l) then k=\frac{m_1(x_2) +m_2(x_1)}{m_1+m_2} and l=\frac{m_1(y_2) +m_2(y_1)}{m_1+m_2}

Now we have A=(8,7) we call it (x_1,y_1) then C=(7,-13) we call it (x_2,y_2).

And m_1=3,m_2=2

Plugging all the values in section formula we have.

k=\frac{m_1(x_2) +m_2(x_1)}{m_1+m_2}

k=\frac{3(7) +2(-8)}{2+3}

= \frac{21-16}{5}= 1

Similarly

l=\frac{m_1(y_2) +m_2(y_1)}{m_1+m_2}

l=\frac{3(-13) +2(7)}{2+3}

l=\frac{-39+14}{5}= -5

So the coordinates of B =(1,-5)

6 0
3 years ago
How would u find the answer idk if they would still be the same and you just have to find that one missing angle?
ivolga24 [154]
Well... with the information you are given you just have to assume they are congruent triangles. The first picture looks like a right triangle, but the angle is 100 not 90... so it wouldn't actually look like that.

So for the missing angle all you do is 180= 100+ 55 + x

x=25

Then just match up the angles with the other triangle, they would be the same. K with F, J with G, and so on
8 0
4 years ago
Help plzz be serious
Rzqust [24]

Answer: 864

Step-by-step explanation:

mulitiply all

5 0
3 years ago
A company makes glass paperweights in the shape of a square pyramid. The base of
Serhud [2]

Step-by-step explanation:

D) 12 in3

How to get the volume

length x width x height

in this case it be

base x height

3 0
3 years ago
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