Thirty-seven is less than the difference of seven and ten times a number.

Pls help this packet is driving me crazy!!

AleksAgata [21]

Proportion A
The first thing you should know in this case is what the rate of change means.
The rate of change in a linear equation is given by the slope of the line.
For a linear equation, the rate of change is constant.
So we have to:
y = 9x
The slope is:
m = 9
Proportion B
The slope of the line will be:
m = (y2-y1) / (x2-x1)
Substituting values:
m = (57.5-34.5) / (5-3)
m = 11.5
Answer:
The rate of change in proportion A is 2.5 less than in proportion B.

4 0

2 years ago

Read 2 more answers

Solve for x 3х + 2 = 30 12 13.33 108 120

Brums [2.3K]

Answer:

9.3

Step-by-step explanation:

check picture for steps

5 0

2 years ago

Solve for g. 3g+5/2=4-g

posledela

Solved. Look at screenshot for steps.
g = 3/8

3 0

2 years ago

A machine in a factory produces 25 gismos a day. After a $174 repair job, the machine improves its gizmo output by 16%.If the sa

Olenka [21]

Answer:

Around 10 days ( 9.28 days: 9 days 6 hours 43 minutes 12 seconds).

Step-by-step explanation:

Given that 25 gizmos are produced each day, and 75 ¢ are made off of each one, a 174$ repair job will take away money that will need to be paid off.

We can create the following equation by using the amount of gizmos earned per day(x or time) multiplied the money made off of each one(in cents ¢), is equal to the repair job since it will be paid off once it is canceled out.

25x(75¢) = 174$.

Since the money made by each gizmo is in cents and not dollars, it is best to convert this into dollars since the repair job is in this form. Because 100¢ are in each dollar, 75¢ = 75/100 dollars = 3/4 dollars.

3/4 * 25 x = (3/4) * (25x) = (25*3) / 4 = 75/4x

(75/4)x = 174$

(75/4x) * (4/75) = (174$) * (4/75)

x = (174 * 4) / 75

x = 696 / 75

x = 9.28

We are multiplying by the reciprocal (numerator and denominator are switched) since it will make your coefficient 1 which is the variable itself. anything times it's reciprocal is equal to one.

75/4x = 174$

×4 ×4

(cancel out the denominator)

____________

75x = 696$

÷ 75 ÷ 75

(cancel out 75 to get the variable by itself)

___________

x = 696/75

x = 232/25

x = 928/100

x = 9.28

___________

6 0

2 years ago

Write a system of equations and name their solution

mash [69]

Answer:

Theresa and Kayla will each sell 24 tubs of cookie dough.
System of equations: y = 3x + 12 and y = 6x.
Solution: (4, 24)

Step-by-step explanation:

Theresa's sold cookie dough can be represented by the equation: 12 + 3x = y

I started Theresa with 12 tubs of cookie dough, which is what the constant 12 shows.
Days are represented by the variable x, and 3x represents Theresa's selling of 3 tubs a day.
All of these terms are equal to the variable y which represents the total number of tubs sold.

Kayla's sold cookie dough can be represented by the equation: 6x = y

Kayla starts with no already sold tubs of cookie dough.
The 6x represents Kayla's selling of 6 tubs a day (x). 6x is equal to y because this represents the total number of tubs sold.

They will eventually sell the same amount of cookie dough, so to find the number of tubs they each will sell to reach this equivalent amount you would make both equations equal to each other.

12 + 3x = 6x
Subtract 3x from both sides of the equation.
12 = 3x
Divide both sides of the equation by 3.
x = 4

To find the number of tubs they each sell, substitute 4 for x into each of their respective equations.

Theresa: $12+3x\rightarrow12+3(4)\rightarrow 12 + 12 = 24$
Kayla: $6x\rightarrow 6(4)=24$
They both sell the same amount of tubs so it makes sense that they both sell 24.

By substituting in x, we found y. This means that the solution to the system of equations is (x, y) ⇒ (4, 24).

To graph these equations:

Theresa: y = 3x + 12

Look at the constant term. This represents the y-intercept; the y-intercept of this line is (0, 12). Place a point there.
Look at the coefficient of x. This represents the slope; the slope of this line is 3(/1). This means that from the y-intercept, you will go up 3 units and to the right 1 unit.
This line is represented by the RED LINE.

Kayla: y = 6x

There is no constant term so the y-intercept will be at (0, 0).
The slope of this line is 6, which means you will go up from (0, 0) 6 units and to the right 1 unit.
This line is represented by the BLUE LINE.

On the graph (credit to desmos), you can see that they intersect at (4, 24), which is the same solution we found without graphing and by using algebra.

7 0

2 years ago

Thirty-seven is less than the difference of seven and ten times a number.​

Thirty-seven is less than the difference of seven and ten times a number.