M<1=3x+7, m<5=5x-3. Find the value of each variable.

Answer:

10

x*(6/10)=6/70

x=6/70*10/6

x=1/7

11

x*2/8=6/32

x=6/32*8/2

x=3/4

12

x*1/5=1/15

x=1/15*5=1/3

13

x*1/7=1/14

x=1/14*7=1/2

14

x*1/2=1/4

x=1/4*2=1/2

15

x*2/5=14/45

x=14/45*5/2

x=7/9

Answer:

-8

Step-by-step explanation:

You are wanting to solve for x

First you want to subtract 13 on both sides-

1/2x = -4

Now you want to divide on both sides-

x = -8

Answer:

1/-8

To find:

x

Step-by-step explanation:

1/2x+13=9

take 13 to the LHS. when you take 13 to the LHS it becomes negative

1/2x=9-13

1/2x=-4

by cross multiplying,

2x × -4=1

-8x=1

x=1/-8

hope it helps you!!

Answer:

Answer:

b2 = 2A/h - b1

Step-by-step explanation:

Given :

A bag with 2 ½ ounces of peanuts can make ⅔ of a jar of peanut butter.

To Find :

How many ounces of peanuts will it take for there to be one jar of peanut butter.

Solution :

[tex]2\dfrac{1}{2}\ ounces = \dfrac{2}{3}\ jar\\\\\dfrac{5}{2}\ ounces = \dfrac{2}{3}\ jar\\\\1= \dfrac{15}{4}\ \dfrac{ounces}{jar}[/tex]

Now,

1 jar of peanut butter is made by :

[tex]1\times jar \times \dfrac{15}{4} \dfrac{ounces}{jar}\\\\\dfrac{15}{4}\ ounces[/tex]

Hence, this is the required solution.

Answer:

All except the Terry Cloth

Step-by-step explanation:

The fabrics that cost less than $8 per yard are cotton, flannel and fleece.

In order to determine the cost of a yard of each material, divide the total cost of 3/4 yards of that fabric by 3/4

cost of a yard = total cost ÷ [tex]\frac{3}{4}[/tex]

Cost of a yard of cotton = 5.54 ÷ [tex]\frac{3}{4}[/tex] = 6.85

Cost of a yard of Flannel = 2.62 ÷[tex]\frac{3}{4}[/tex] = 3.49

Cost per yard of Fleece = 4.27 ÷ [tex]\frac{3}{4}[/tex] =  5.69

Cost per yard of Terry Cloth = 6.52 ÷[tex]\frac{3}{4}[/tex] = 8.69

Based on the above calculations, all but Terry cloth cost less than $8 per yard

A similar question was solved here: https://brainly.com/question/2244723?referrer=searchResults

Step-by-step explanation:

if you rent a scooter for 15 minutes you pay $1.50 ($1 to start and $0.50 rental) and if you rent it for 30 minutes then you pay $2.00 ($1 to start and $1 rental). This is NOT proportional because $1.50/15-mins and $2.00/30-min are NOT equivalent ratios

Answer:

Step-by-step explanation:

Please write  x^2+16x  or  x²+16x  to indicate the exponentiation.

To rewrite  x²+16x  as a perfect square trinomial:

1) Take half of the coefficient of x, that is, half of 16, which is 8

2) Square this result:  8² or 64

3) Starting with x²+16x again, add 64 and then subtract 64 to get a trinomial expression equivalent to x²+16x:

x²+16x + 64 - 64

4) Rewrite the first three terms as the square of the binomial x + 8:

(x + 8)² - 64  

Here (x + 8)² is a perfect square trinomial.

Answer:

The answer is C.) 64 on edge.

Answer: Yes, it is linear. The slope is -2

Step-by-step explanation:

move the 2x over to the other side and get y=-2x+4, the slope in a linear equation is m in the formula y=mx+b, in this case, m=-2

Answer:

1 meal = $3.080

Answer:

y = 2x – 13

Step-by-step explanation:

Use Slope formula to get the slope

(y2-y1) / (x2-x1)

(-7--1) / (3-6)

(-6)/(-3)

2

Then plug-in the value of slope and any one coordinate in Point-Slope formula:

y- y1= m(x-x1)

y - -1 = 2( x - 6)

y + 1 = 2x - 12

y = 2x - 13

The equation of the line in the slope-intercept form will be y = 2x – 13.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = (-7-(-1)) / (3-6)

Slope = (-6)/(-3)

Slope = 2

Then plug in the value of slope and any one coordinate in the Point-Slope formula:

y- y₁= m(x-x₁)

y - (-1) = 2( x - 6)

y + 1 = 2x - 12

y = 2x - 13

Therefore, the equation of the line in the slope-intercept form will be y = 2x – 13.

To know more about an equation of the line follow

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Answer:

b =  c − 2a

     ------------

          2

Step-by-step explanation:

2a + 2b = c

2b = c − 2a

b =  c − 2a

     ------------

          2

Answer:

7.05

Step-by-step explanation:

Answer:

7.053

Step-by-step explanation:

97.5/1.96=49.745

√49.745=7.053

Answer:

5. x+4=86

6. An equation can be used to predict values from a pattern by merely substituting any value to determine the equivalent value. An example is the geometric series which has a standard equation of an = a1 * r^(n-1) and is used to predict the nth term of the series

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

the formula for this is A squared plus B squared equals C squared

Answer:

26

Step-by-step explanation:

10(10)+(24)(24)

100+576

676

out of the square root

it is 26

Answer:

16 meters

Step-by-step explanation:

r=8m

8*2=16

d=16m

Answer:

16

Step-by-step explanation:

The diameter is the radius times 2.

Answer:

31

Step-by-step explanation:

100-7= 93

93÷3=31

Answer:

the number is 31

Step-by-step explanation:

the number is the variable x

3 times the number is 3x

increased by 7 is +7

is 100 is =100

3x +7 =100

subtract 7 from both sides

3x =93

divide by 3 on both sides

x = 31

Answer:

x=1

Step-by-step explanation:

hope this helps and hope its correct

Answer:

25 mL

Step-by-step explanation:

m/D=V

75g/3 g/mL = V

25mL =V

Answer:

What error did the salesman make?

The salesman made an error when convert 270 square feet to yards.

What should be the actual cost of the carpet?

The actual cost of the carpet is $360

Step-by-step explanation:

From the question, we are told that:Tisha orders a carpet for a room that measures 270 square feet.

This means the room needs 270 square feet of carpet

But from the question, we know that the carpet is sold in square yards

We convert square feet to square yards

For our conversion rates

3 ft = 1 yard

9 ft² = 1 square yards(yd²)

270 ft² = x

Cross Multiply

9 ft² × x = 270ft² × 1 yd²

x yd²= 270ft² × 1 yd²/9 ft²

x = 30 yd²

Hence, 270ft² = 30yd²

Cost of carpet =

1 yd² = $12.00

30 yd² =

Cross Multiply

= 30 × $12.00

= $360.00

The actual cost of the carpet is $360

What error did the salesman make?

The salesman made an error when convert 270 square feet to square yards.

He said 270 square feet = 90 square yards

But he was wrong.

270 square feet = 30 square yards.

What should be the actual cost of the carpet?

The actual cost of the carpet is $360

Answer:360 for the actual cost

Step-by-step explanation:

Given:

Four equations are

[tex] 7 x + 1 = 7 x+ 1[/tex]

[tex]3 x + 2 = 3 x-2[/tex]

[tex]4 x + 1 = 3 x + 8[/tex]

[tex]-2x-1 = -2 x-1[/tex]

To find:

Without solving which equation has no solution.

Solution:

We know that, in an equation

1. No solution : When variable terms are same but constants are different.

2. Unique solution : When variable terms are different.

3. infinitely many solution : When variable terms and constants are same.

In first and fourth equations, terms on left sides are equal to the terms on the right side. So, LHS = RHS for any value of x.

Therefore, these two equations (first and fourth) have infinitely many solutions.

In second equation, variable terms are same on both sides, but the constants are difference. So, LHS ≠ RHS for any value of x.

Therefore, the second has no solutions.

In third equation, coefficient of x are difference on both sides.

So, this equation has unique solution.

Therefore, Jubal's equations [tex]3 x + 2 = 3 x-2[/tex] has no solution. Hence, the correct option is B.

Answer:

D

Step-by-step explanation:

Answer:yes

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

1/3 - 2/9

Get a common denominator of 9

1/3 *3/3 = 3/9

3/9 - 2/9

1/9

Answer:

√17, √18,√19,√20,√21,√22,√23 ,√24

Step-by-step explanation:

Correct question is;

Joe had a summer job that pays $7.00 an hour and he worked between 15 and 35 hours every week. His weekly salary can be modeled by the equation: S = 7h, where S is his weekly salary and h is the number of hours he worked in a week.

What is the reasonable Domain and Range?

Answer:

Domain is: 15 ≤ x ≤ 35

Range is: 105 ≤ x ≤ 245

Step-by-step explanation:

We are told that Joe works between 15 and 35 hours every week.

This means that he works at least 15 hours or at most 35 hours a week.

Thus, domain is; 15 ≤ x ≤ 35

We are told that his weekly salary can be modeled by the equation: s = 7H

Where s is salary and H is number of hours worked per day.

Thus;

Lower range is; s = 7 × 15 = $105

While higher range is; s = 7 × 35 = $245

Thus, range is 105 ≤ x ≤ 245

Answer:

A. limited liability

Step-by-step explanation:

Because James has become a shareholder by investing in Walmart, he has the advantage of limited liability. This basically means that he shares in both the gains and the losses of Walmart's business decisions but only up to the amount that he has invested into it. Meaning that if James invested a total of $2000 and Walmart goes under, then he will lose all $2000 but not more than that.

Answer:

Step-by-step explanation:

[tex](3y-1)[/tex]

[tex](3y-1)*(3y-1)*(3y-1)*(3y-1)*(3y-1)[/tex]

[tex]243y^5-405y^4+270y^3-90y^2+15y-1[/tex]