Solve for x
5x=x+28
simplify your answer as much as possible

Answer:

B

Step-by-step explanation:

We want the equation of the line that passes through the point (-1, 1) and is perpendicular to:

[tex]2x +4y=16[/tex]

Remember that the slopes of perpendicular lines are negative reciprocals of each other.

So, let's find the slope of the original line first. We can do so by converting it to slope-intercept form. Thus:

[tex]4y=-2x+16[/tex]

Therefore:

[tex]\displaystyle y=-\frac{1}{2}x+4[/tex]

The slope is -1/2.

The negative reciprocal of -1/2 is 2.

Thus, the slope of our new line is 2.

The slope is 2 and it passes through the point (-1, 1).

We can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute:

[tex]y-(1)=2(x-(-1))[/tex]

Distribute:

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

Subtracting 2 from both sides yields:

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

Therefore, our answer is B.

Complete question :

Mitch is making birdhouses to sell. He needs to make at least $678. Each birdhouse costs $28 to make. He is selling them for $40 each. What is the minimum he can sell to reach his goal?

Answer:

57

Step-by-step explanation:

you need to make $678 and it costs $28 to make it and you are selling it for $40 each .. What is the minimum you have to sell

Target profit = $678

Expenses per product = $28

Income per sale = $40

Profit per sale = $(40 - 28) = $12

Let number of sales or product = x

Hence,

$12 * x ≥ 678

12x ≥ 678

x ≥ 678 / 12

x ≥ 56.5

To the nearest whole number = 57

Answer:

-0.16666666666666

Step-by-step explanation:

-.16

Answer:

0.1667

Step-by-step explanation:

Answer:

Guess I'll agree with the other person.

Step-by-step explanation:

Answer:

M(t) = -3 (t - 16) (t - 3)

Step-by-step explanation: Assuming you are working on the practice book - section 5: quadratic equations and functions than this is the correct answer to your question. Although there is another question below the on you have asked on in the actual textbook so if you need help on that just ask me in the comments below.

Step-by-step explanation:

y=14

y=1

thats the answer.

Answer:

23 degrees

Step-by-step explanation:

Find the diagram attached

The sum of angle on the straight line is 180°

103+3x+15+x+10 = 180

128+4x =180

4x = 180-128

4x = 52

x = 52/4

x = 13

The measure of the angle of the intersection between Derby Drive and Rosemont is x+10

= 13+10

= 23 degrees

Hence the measure of the angle is 23 degrees

Answer:

1.5

Step-by-step explanation:

-1.2(3-×)=-1.8

-3.6+1.2×=-1.8

1.2×=3.6-1.8

1.2×=1.8

1.2/1.2×=1.8/1.2

×=1.5

Given:

The equation is

[tex]\dfrac{3x}{7}+\dfrac{2}{7}=2[/tex]

To find:

The simpler equivalent form and solve the given equation.

Solution:

We have,

[tex]\dfrac{3x}{7}+\dfrac{2}{7}=2[/tex]

It can be written as

[tex]\dfrac{3x+2}{7}=2[/tex]

Multiply both sides by 7.

[tex]3x+2=14[/tex]

[tex]3x=14-2[/tex]

[tex]3x=12[/tex]

Divide both sides by 3.

[tex]x=\dfrac{12}{3}[/tex]

[tex]x=4[/tex]

Therefore, the simpler equivalent form of the given equation is [tex]3x+2=14[/tex] and the solution is x=4.

Answer:

-2, -3

Step-by-step explanation:

Any 2 negative numbers would work

When 2 negative numbers are multiplied together, the product is always a positive number

Example: -2,-3

(-2)+(-3)=-5

(-2)(-3)=6

The example of her numbers could be -2 and -3.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Let the two numbers be x and y.

Two numbers have a negative sum, but a positive product.

So, the two numbers are -x and -y.

Let us consider the two numbers be -2 and -3

Sum of two numbers = [tex]-2+(-3)[/tex]

⇒ [tex]-5[/tex]

Product of two numbers = [tex](-2)(-3)[/tex]

⇒ [tex]6[/tex]

Thus the sum have a negative number and the product is a positive product.

Hence we can conclude that the example of her numbers could be -2 and -3.

Learn more about word problem here

https://brainly.com/question/9214190

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Answer:

38*

Step-by-step explanation:

Answer:

I think y= -3x+2 ? not sure

Step-by-step explanation:

Answer:

6 < 2+1= 3F

Step-by-step explanation:

First, we know that the x is going to the right

1 up, 2 down.

If you go down 6 and go back up 1 we will have the equation 6 < 2+1=3F

You can also use Desmos Graphing Chart to help you!

-6 = 1+3 < 4

Hope this helps!

Mark as Brainllest if it helped you!

Answer:

-2

Step-by-step explanation:

The sign would be negative because the pounds were lost not gained

Answer:

1, 3, 5, 9, 15, 27, 45, 135.

Step-by-step explanation:

Answer:

The factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135

Answer:

x = 44

Step-by-step explanation:

44 goes into 2, 22 times. then 22 + 10 = 32

Answer:

277

Step-by-step explanation:

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

Correct me if I'm wrong, thanks

Answer:

3=x

Step-by-step explanation:

multiply 5 times 2x and 4 which is 10x-20

then you have -10=10x-20

then add 20 to both aides and you'll have

30=10x then divide by 10 to get x alone

and you have

3=x

Please attach the diagram with your question

Answer:

h = 11.61 foot

Step-by-step explanation:

Given that,

The length of a ladder, l = 12 foot

The bottom of the ladder is 3 ft from  the house.

We need to find how high does the top of the ladder reach. Let it is h. The length of the ladder will be the hypotenuse. 3 ft will be the base. So,

[tex]12^2=3^2+h^2\\\\h^2=144-9\\\\h=11.61\ \text{foot}[/tex]

So, the top of the ladder is at a height of [tex]11.61\ \text{foot}[/tex].

Answer:

Step-by-step explanation: 1) 14.5 bc

We have the equation:

43.5 ÷ 3 = 14.500

Calculated to 3 decimal places.

2) They are all the same because they are the same numbers but in different places.

i hope this helps! =3

Answer:

m∠U = 75.7°

Step-by-step explanation:

use Law of Cosines:

9.6² = 3.8² + 9.8² - 2(3.8)(9.8)·cos U

92.16 = 14.44 + 96.04 - 74.48·cos U

92.16 = 110.48 - 74.48·cosU

-18.32 = -74.48·cosU

cos U = -18.32/-74.48

cos U = 0.24597

arccos U = 75.7

Answer:

m∠U = 75.7°

Step-by-step explanation:

its on delta and if you use a calculator then its m∠U = 75.7°

Answer:

y=1.25x+3, $8.00

Step-by-step explanation:

3 is the variable. A cup of frozen yogurt will always be a set price of $3.00. The toppings are the variable, which will depend on how many the customer adds.

Therefore, the equation would be y=1.25x+3

x being the number of toppings added

If the customer orders one cup of ice cream with 4 toppings, the equation would look like:

y=(1.25*4)+3

y=(5)+3 = $8.00 for a four topping cup of frozen yogurt

Answer:

A)  125.4 yards

Step-by-step explanation:

the diagonal would represent the hypotenuse of a right triangle with legs equal to 115 and 50

115² + 50² = c²

c² = [tex]\sqrt{15725}[/tex] which is approx 125.4

Answer:

-23.21

there should be a two part for this and the answer would be D y= 0.15x - 23.21

Step-by-step explanation:

The line of best will be y = 0.15x - 23.21  and the y-intercept is -23.21 after applying the formula.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

The data is given:

R(x)     W(y)

808     93

768     94

655     66

684     81

637     86

619     75

613     61

609     69

563     55

The line of best fit can be written as:

y = mx + c

Here m is the slope of the line best fit and c is the y-intercept

Putting the values in the formula we get:

m = 0.15

c = -23.21

The line of best fit is:

y = 0.15x - 23.21

Thus, the line of best will be y = 0.15x - 23.21  and the y-intercept is -23.21 after applying the formula.

Learn more about the line of best fit here:

brainly.com/question/14279419

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Answer:

2^(5×3/5)=2³=8is your answer

Answer:

208?

Step-by-step explanation:

Answer:

Decimal- 2.08

Mixed Number- 52/25