Alyssa has $75 less than three times Eric. Together they have $905. How much money do they each have?

Answer:

-6

Step-by-step explanation:

You need to get it in Point-Slope form, or

y = mx + b

Isolate y by subtracting 6x

You are left with:

y = -6x + 24

M is the slope, so in this case, it is -6

Answer:

The slope is -6/1 but the slope-intercept form is y=-6x+24

Step-by-step explanation:

y=mx+b

6x+y=24

first you want to subtract 6x from each side.

y=-6x+24

m=-6x or -6/1

b= 24

Answer:

B. Yes, by the AA Similarity Postulate

Step-by-step explanation:

This triangles are both similar based on the AA Similarity Postulate. We know that all angles are equal because...

m∠ABE = m∠CBD = 42° (because they are veridical/opposite angels)

m∠AEB = 180° - m∠ABE - m∠EAB = 180° - 42° - 53° = 85°

Then from here we know that

m∠BDC = 180° - 85° - m∠CBD

m∠BDC = 95° - 42°

m∠BDC = 53°

From here we see that they are similar because of the AA Similarity Postulate, since

m∠ABE = m∠CBD = 42°

m∠BDC = m∠EAB = 53°

m∠AEB = m∠BCD = 85°

Answer: 12 peanut butter cookies

Step-by-step explanation:

Fred had made 10 dozen cookies which means he made:

= 10 * 12

= 120 cookies

Out of those, 1/4 were peanut butter:

= 120 * 1/4

= 30 peanut butter cookies

He burned 3/5 of the peanut butter cookies:

= 30 * 3/5

= 18 cookies were burnt

The amount let is therefore:

= 30 - 18

= 12 peanut butter cookies

Answer: 16.2 is the answer

Step-by-step explanation:

Answer:

If you want to know what percent A is of B, you simple divide A by B, then take that number and move the decimal place two spaces to the right. That's your percentage!

Step-by-step explanation: There is no exact answer and it would be null. You didn't even give an image

Answer:

10) 51°

11) 152

Step-by-step explanation:

10) 42 + 9 = 51

11) 45(3.5) + 22(-.25) = 157.5 - 5.5 = 152

Answer:

1. it dropped by 51°F

im not too sure abt number 2

Answer:

[tex]x_1=5,\\x_2=2[/tex]

Step-by-step explanation:

Problem 1:

The angles [tex]\angle 3[/tex] and [tex]\angle 7[/tex] are corresponding, and thus are equal to each other. We can then set up the following equation:

[tex]5x+2=27,\\5x=25,\\x=\fbox{$5$}[/tex].

Problem 2:

The angles [tex]\angle 6[/tex] and [tex]\angle 4[/tex] are supplementary, meaning they add up to [tex]180^{\circ}[/tex]. Therefore, we have the following equation:

[tex]18x+144=180,\\18x+36,\\x=\fbox{$2$}[/tex].

Answer:

1st answer is 5°

Step-by-step explanation:

Z3 = Z7

or, 5x + 2 = 27°

or, 5x = 25°

or, x = 5°

:-))

Answer:

17.5

105 divided by 6 equals 17.5

18 cars are needed to get all 105 people to the movie.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, 105 people are going to a movie 6 people can ride in each car.

Let the number of cars required be x.

Now, x= Total number of people/Number of people in each car

= 105/6

= 17.5

≈ 18

Therefore, 18 cars are needed to get all 105 people to the movie.

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Answer: About 509 seventh-graders attend Parson City Middle School.

Step-by-step explanation:

Total students in the school = 1,340

About 38% of the students are in the seventh grade.

Number of students in the seventh grade = 38% of (Total students in the school)

= 0.38 x (1340)     [38%= 0.38]

= 509.2 ≈ 509

Hence, About 509 seventh-graders attend Parson City Middle School.

9514 1404 393

Answer:

  Part A: C) The order of discounts does not matter.

  Part B: both prices are $54.91

Step-by-step explanation:

Part A:

The calculation of the final price can be ...

  ((original price)·(1 - membership discount))·(1 -sale discount)

  = ((original price)(0.88))(0.80)

The associative and commutative properties of multiplication tell you this is fully equivalent to ...

  = (original price)(0.80)(0.88)

In short, the order of discounts does not matter.

__

Part B:

When the membership discount is applied first, the final price is ...

  ($78)(0.88)×0.80 = $68.64·0.80 = $54.91

When the sale discount is applied first, the final price is ...

  ($78)(0.80)×0.88 = $62.40·0.88 = $54.91

Answer:

19y - 34x = 376

Step-by-step explanation:

We are to write the linear equation of a line passing through the points

(-20, -16), (-1, 18)

Using the points slope form of the equation expressed as;

y-y0 = m(x-x0)

m is the slope

(x0,y0) is any point on the line

m = y2-y1/x2-x1

m = 18-(-16)/-1-(-20)

m = 18+16/-1+20

m = 34/19

Substitute the slope m =34/19 and the point (-1, 18) into the expression given

y- 18 =34/19(x-(-1))

19(y-18) = 34(x+1)

19y - 342 = 34x+34

19y-34x = 34+342

19y - 34x = 376

Hence the required equation is 19y - 34x = 376

Answer:

$406

Step-by-step explanation:

Step one:

given data

Cakes and More baked 1,450 chocolate chip cookies

The bakery sold them in boxes of 25 cookies each

The number of boxes will be

1450/25

=58  boxes

Step two:

The cost per box is $7

hence the cost of 58 boxes will be

=7*58

=$406

Answer:y=12

Step-by-step explanation:

Answer:

y=12

Step-by-step explanation:

i hope it was helpful

1. 500% Increase

2. 40% Decrease

3. 75% Increase

4. 62.5% Increase

Answer:

The required number is 7

Step-by-step explanation:

Let a number = x

We are given the condition: five more than three times a number is 26

We need to find the number.

Writing the condition in mathematical form:

five more than three times a number is 26: [tex]3x+5=26[/tex]

Now, solving this equation we can find x, the number

[tex]3x+5=26\\[/tex]

Subtract 5 from both sides

[tex]3x+5-5=26-5\\3x=21[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=\frac{21}{3}\\x=7[/tex]

So, we get: x = 7

The required number is 7

Answer:

4.95 * 20 = 99 your earnings

4.25 * 20 = 85 friends earnings

Step-by-step explanation:

44.55/9 = hourly earnings

                4.95 per hour

51/12= hourly earnings

                    4.25 per hour

4.95 * 20 = 99 your earnings

4.25 * 20 = 85 friends earnings

Answer:

I can help

Step-by-step explanation:

Answer:

Step-by-step explanation:

the first one- 40

the second one- 2.5

This should be correct if I did my math correctly

Answer:

yes segment DE and AB are parallel

Answer:

CB = (CE*AC)/CD

Which agrees with the second answer listed

Step-by-step explanation:

We use the proportion among similar triangles:

CE/CD = CB/AC

and solve for CB:

CB = (CE*AC)/CD

Which agrees with the second answer listed

Answer:

B ($905)

Step-by-step explanation:

Plug in $17 for the h value in the equation, and you get this:

c = 50 (17) + 55

c = 850 + 55

c = 905

So the answer is $905 for 17 hours of work (plus the service fee)

Answer:A 30-60-90 right triangle is a special right triangle in which one angle measures 30 degrees and the other 60 degrees. The key characteristic of a 30-60-90 right triangle is that its angles have measures of 30 degrees (π/6 rads), 60 degrees (π/3 rads) and 90 degrees (π/2 rads). The sides of a 30-60-90 right triangle lie in the ratio 1:√3:2.

Step-by-step explanation:

The side lengths of a 30-60-90 triangle can be expressed as x, x√3, and 2x, where x is a positive constant.

We have,

In a 30-60-90 triangle, the angles measure 30 degrees, 60 degrees, and 90 degrees.

The side lengths of a 30-60-90 triangle have a specific ratio.

Let's denote the length of the shortest side as x, the length of the side opposite the 60-degree angle as y, and the length of the hypotenuse as z.

The ratios of the side lengths in a 30-60-90 triangle are as follows:

Shortest side: x

Side opposite 60-degree angle: y = x√3

Hypotenuse: z = 2x

Given this ratio, we can determine which set of values could be the side lengths of a 30-60-90 triangle.

The values must satisfy the above relationships.

Possible sets of values for the side lengths of a 30-60-90 triangle are:

Set 1:

x = 1

y = x√3 = √3

z = 2x = 2

Set 2:

x = 2

y = x√3 = 2√3

z = 2x = 4

Set 3:

x = 3

y = x√3 = 3√3

z = 2x = 6

Set 4:

x = k (where k is any positive constant)

y = x√3 = k√3

z = 2x = 2k

These sets of values satisfy the ratios for a 30-60-90 triangle.

Remember that the ratios are consistent, so any positive constant can be chosen for the length of the shortest side (x), and the other side lengths (y and z) will follow accordingly.

So,

Any set of values that satisfy the ratios given above could be the side lengths of a 30-60-90 triangle.

Thus,

The side lengths of a 30-60-90 triangle can be expressed as x, x√3, and 2x, where x is a positive constant.

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Answer:

[tex]5x-6[/tex]

Step-by-step explanation:

Answer:

5x-6

Step-by-step explanation:

Here is the simplified version and I'm guessing that's what you need

2(x-3) + 1/2 (6x)   Now we distribute

2x-6+3x      Combine the like terms

5x-6    

or

Answer:

105 quarts an hour

Step-by-step explanation:

divide 210 by 2

Answer:

180.75

Step-by-step explanation:

Hey there!

The answer to your question is z > -4

We can solve this like it is an equation, with one exception. When you divide or multiply by a negative number, in an inequality, you have to flip the inequality sign.

-2z - 3 < 5           add 3 to both sides

     -2z < 8          divide both sides by -2, and flip the inequality sign

         z > -4      

Good luck! Hope it helps, and have a great day!

Answer:

The answer  is z > -4

but a line down were is the (>)

I ready!

holpe it help

Answer:

176cm

Step-by-step explanation:

Step 1

We find the circumference of the cylinder

The formula for the Circumference = 2πr or πD

π = 22/7

Hence;

22/7 × 7

= 22

Since the strip of paper eight times round a cylindrical pencil of diameter 7mm, the length of the paper is calculated as: 22 × 8

= 176cm

Answer:

$24.00 dollars. The problem is confusing, so sorry if this is wrong.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

i counted 12 units from A to get to B

Answer:

I took the diagnostic and I don't know what it was. I wish they would tell you. But I think 14.

Answer:

1 time :)

Step-by-step explanation:

Answer:

It can only go into 8 once

8÷5=1.6

Step-by-step explanation: