The product of 9 plus a number decreased by 7

Answers

Answer 1
Answer: 9+n-7 is the algebraic expression 
Answer 2
Answer: The algebraic expression is 9+n-7. 

9 = number 

n = variable 

7 = number 


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PLEASE HELP Victors swimming pool hold 3,000 gallons. He filled the pool using two hoses. The larger hose filled the pool four times as fast as the smaller one. How many gallons of water came from the smaller hose?

Answers

The amount of gallons of water from the smaller hose is 2400 gallons

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of gallons of water from the hose = x

Now , The total amount of water the pool can hold = 3000

And , the larger hose fills the pool 4 times faster than smaller one

So , The amount of water larger hose can fill = x

The amount of water smaller hose can fill = 4x

Total amount of water = 4x + 1x

                                     = 5x

Now , the equation will be

5x = total amount of water the pool can hold

5x = 3000

Divide by 5 on both sides , we get

x = 600

Now , substituting the value of x in the equation , we get

The amount of water smaller hose can fill = 4x

The amount of water smaller hose can fill = 4 x 600 gallons

                                                                     = 2400 gallons

Hence ,

The amount of gallons of water from the smaller hose is 2400 gallons

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We know that there are 3,000 gallons in the swimming pool and that one hose filled it in x minutes (or hours, doesn't matter), while the second hose filled it 4x minutes. Together we have 5x (five parts that hoses have filled), so all we need to do is to divide 3,000 by 5:

3,000 ÷ 5 = 600

Now we can see that one hose filled 600 gallons, while the other one filled 4 * 600 = 2,400 gallons.

Find coordinates of point c

Answers

ans n solution can refer in the picture

7 less than 3 times a number m

Answers

3x-7 is the answer...

Answer:

3x-7

Step-by-step explanation:

Figure ABCD has vertices A(−3, 2), B(2, 2), C(2, −4), and D(−3, −2). What is the area of figure ABCD?

Answers

Answer:

The area of the figure ABCD is 25\ units^(2)

Step-by-step explanation:

we have

A(-3, 2), B(2, 2), C(2, -4), D(-3, -2)

using a graphing tool

Plot the figure

see the attached figure

The figure is a trapezoid

The area of the trapezoid is equal to

A=(1)/(2)(AD+BC)AB

Find the distance between the points in the graph

we have

AD=4\ units

BC=6\ units

AB=5\ units

substitute

A=(1)/(2)(4+6)5=25\ units^(2)

Answer:

I believe 25 square units is the right answer.

in the school Marching band the ratio of trumpet players to drummers was 5 to 2 . if there were six drummers in the marching band, how many trumpet players were there?

Answers

We have an equation: 5/? = 2/6

Cross multiply:
2*? = 5*6
⇒ ?= 5*6/2= 15

There were 15 trumpet players~

Fresh pond has a population of 854 and it’s increasing by 3 people per year. Strawberry has a population of 427 and it’s increasing by 10 people per year. In how many years will the two villages have the same number of residents?

Answers

Answer:

The number of years that will the two villages have the same number of residents is 61 years

Step-by-step explanation:

Let's assume number of years as 'x'

First Pond:

Fresh pond has a population of 854

and it’s increasing by 3 people per year

so, we can find equation for population of first pound

P=854+3x

Second pond:

Strawberry has a population of 427

and it’s increasing by 10 people per year

so, we can find equation for population of first pound

P=427+10x

Since, populations are equal

so, we can set both equation equal and then we can solve for x

P=427+10x=854+3x

427+10x=854+3x

7x=427

x=61

So,

The number of years that will the two villages have the same number of residents is 61 years