Beth and Ben work together in a store. The expression 12h + 50 represents the
amount of money Beth earns, and the expression 14h - 20 represents the amount of
money that Ben earns. The variable h represents hours worked, and the integers
represent dollar amounts. Find an expression that gives the total amount of money
earned by Beth and Ben when they work together for h hours.

Answer:

20/7 or 2 and 6/7

Step-by-step explanation:

convert it into the equation 5=k/4

so 5x4 is 20

k=20

then x=20/y

and y is 7

so the answer is 20/7

Answer:

a = (15-11b)/7

Step-by-step explanation:

19a + 11b = 12a + 15

Subtract 12a from each side

19a-12a + 11b = 12a-12a + 15

7a +11b = 15

Subtract 11b from each side

7a+11b-11b = 15 -11b

7a = 15-11b

Divide by 7

7a/7 = (15-11b)/7

a = (15-11b)/7

Answer:

A = (15-11b)/7

Step-by-step explanation:

Answer:

The area covered by it is "95%".

Step-by-step explanation:

Consequently, because the shaded region encompasses the range of two standard deviations, the portion protected is 95%.

Answer: x=19

Step-by-step explanation:

We know that 2x is equal to w. We also know that the angle of the triangle is 90 degrees. We also know the 90 plus 3x-5 plus w will equal 180 degrees since it is a triangle. So, by substituting the w from w+ 3x-5+90=180 with 2x, we can solve for x by moving all the numbers around. So it goes from 2x+3x-5+90=180 to 2x+3x-5=90 and then to 5x-5=90 and finally to 5×=95 and divide 95 by 5 to get x. And you're done! Hope this helps!

Answer:

The answer is y minus x = negative 4

or c for short

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

i got it right on the test

Answer:

4. F '(3, 2.5), G '(5, 0.5), H '(1, 0.5)

Step-by-step explanation:

The formula for dilations are

[tex]\left(x_{1}\cdot t_{1},\ y_{1}\cdot t_{1}\right)[/tex] where t1 is the scale factor

F has coordinates (6,5) so you can write

[tex](6*0.5,5*0.5)[/tex]

Multiply 6 by 0.5 and 5 by 0.5 to get

[tex](3,2.5)[/tex]

Next, do G. It has coordinates (10, 1) so you can write

[tex](10*0.5, 1*0.5)[/tex]

Multiply 10 by 0.5 and 1 by 0.5 to get

[tex](5, 0.5)[/tex]

Finally, point H has coordinates (2, 1) so you can write

[tex](2*0.5, 1*0.5)[/tex]

Multiply 2 by 0.5 and 1 by 0.5 to get

[tex](1, 0.5)[/tex]

Hope this helps. Feel free to ask any follow-up questions.

Have a great day! :)

Answer:  F '(3, 2.5), G '(5, 0.5), H '(1, 0.5).

From the image the vertices are F(6, 5), G(10, 1), H(2, 1).

We have to dilate the figure by a scale factor of 0.5 with the origin as the center of dilation.

We will multiply the vertices by 0.5.

So the new vertices will be: F '(3, 2.5), G '(5, 0.5), H '(1, 0.5).

Learn more: https://brainly.com/question/20521181

Answer:

Option B is the correct answer.

Step-by-step explanation:

Finding the distance between the points A and B

A ( 3 , - 1 ) → ( x1 , y1 )

B ( 9 , - 5 )→ ( x2 , y2 )

Distance = [tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

[tex] = \sqrt{ {(9 - 3)}^{2} + {( - 5 - ( - 1)}^{2} } [/tex]

[tex] = \sqrt{ {(9 - 3)}^{2} + {( - 5 + 1))}^{2} } [/tex]

[tex] = \sqrt{ {6}^{2} +( - 4) ^{2} } [/tex]

[tex] = \sqrt{36 + 16} [/tex]

[tex] = \sqrt{52} [/tex]

[tex] = 2 \sqrt{13} [/tex]

Finding the distance between the points B and C

B ( 9 , - 5 ) → ( x1 , y1 )

C ( 16 , - 2 )→ ( x2 , y2 )

Distance = [tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

[tex] = \sqrt{ {(16 - 9)}^{2} + { (- 2 - ( - 5))}^{2} } [/tex]

[tex] = \sqrt{ {(16 - 9)}^{2} + { ( - 2 + 5)}^{2} } [/tex]

[tex] = \sqrt{ {7}^{2} + {(3)}^{2} } [/tex]

[tex] = \sqrt{49 + 9} [/tex]

[tex] = \sqrt{58} [/tex] units

Finding the distance between the points A and C

A ( 3 , - 1 )→ ( x1 , y1 )

C ( 16 , - 2 )→ ( x2 , y2 )

Distance = [tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

[tex] = \sqrt{ {(16 - 3)}^{2} + {( - 2 - ( - 1))}^{2} } [/tex]

[tex] = \sqrt{ {(16 - 3)}^{2} + ( - 2 + 1) ^{2} } [/tex]

[tex] = \sqrt{ {13}^{2} + ( { - 1)}^{2} } [/tex]

[tex] = \sqrt{169 + 1} [/tex]

[tex] = \sqrt{170} [/tex] units

Now, let's find the perimeter:

Perimeter = AB + BC + AC

plug the values

[tex] = 2 \sqrt{13} + \sqrt{58} + \sqrt{170} [/tex]

Calculate

[tex] = 27.9[/tex] units

Hope this helps..

Best regards!!

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x -----> time of the first process in minutes

y -----> time of the second process in minutes

we know that

The time of the first process multiplied by 4 (because is repeated 4 times) plus the time of the second process multiplied by 1 (because is repeated only once) must be less than or equal to 3 minutes

so

The inequality that represent this situation is

The solution of the inequality is the shaded area below the solid line

The equation of the solid line is

The y-intercept of the solid line is the point (0,3)

The x-intercept of the solid line is the point (0.75,0)

The slope of the solid line is negative m=-4

using a graphing tool

The solution is the shaded area

The graph in the attached figure

Remember that the time cannot be a negative number

Answer: The answer is the last graph so D

Step-by-step explanation: Pogchamp

Answer:

A: 3/4

Step-by-step explanation:

sine is the length of the opposite side / length the hypotenuse side

cosine is the length of the adjacent side / length the hypotenuse side

using what's given:

Tangent is the ratio between the opposite side length and the adjacent side length (opp/adj). With our givens, this means tan(A) = 3/4. See image for more.

Answer:

A

Step-by-step explanation:

Answer:

28°F

Step-by-step explanation:

We can find the change in temperature by subtracting 44 from 72:

72 - 44 = 28

So, the change in temperature was 28°F

Answer:

54

Step-by-step explanation:

20 ÷ a + 7 • b

Let a = 4 and b = 7

20 ÷ 4 + 7 • 7

Multiply and divide first

5 + 49

Then add

54

Answer:

54

Step-by-step explanation:

a=4    b=7

20/4=5

7✖️7=49

5+49=54

Hope this helps you!

Answer:

19.6 ft

Step-by-step explanation:

4²+x²=20²

16+x²=400

384 = x²

x = 19.6 ft

Answer:

19.6 feet

Step-by-step explanation:

We know that

The hypotenuse is 20 feet, and the bottom leg is 4 feet.

We also know that Pythagorean theorem is used when there is one missing side to a triangle.

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

Substitute in a for 4 and c for 20. The hypotenuse is always the variable c.

4^2 + b^2 = 20^2

16 + b^2 = 400

b^2=384

[tex]\sqrt{384}[/tex] = 19.6

Answer:

The slope is -2/3

Step-by-step explanation:

With this its easier to get all of the x's on one side.

distribute the -2/3 to the x and 1. Also add a 2 on each side.

Thats leaves you with y=-2/3x+4/3

You than want to make a chart of x's and y's so you know what this graph looks like

x|y

-3|(10/3)

-2|(8/3)

-1|2

0|(4/3)

1|(2/3)

2|0

3|(-2/3)

To find the slope, it's (y2-y1)/(x2-x1)

So in this case, (0-2)/(2+1)

The slope is (-2/3)

Answer:

Slope = -2/3

Point = (-1,2)

Plot the given point = (-1,2)

Use the slope to plot one more point = (2,0)

Step-by-step explanation:

Answer:

Total number of pages in book = 570 pages

Step-by-step explanation:

Given:

Rate of reading = 55  page per hour

Number of hour = 4 hour

Total pages remain = 350 pages

Find:

Total number of pages in book

Computation:

Number of pages read = Number of hour × Rate of reading

Number of pages read = 4 × 55

Number of pages read = 220

Total number of pages in book = Number of pages read + Total pages remain

Total number of pages in book = 220 + 350

Total number of pages in book = 570 pages

Answer:

B

Step-by-step explanation:

Sqaure roots can be rewritten as fractions.

The numerator will be rewritten as 6^(1/4)

The denominator will he written as 6^(1/5)

Now u can subtract the power, but u have to find a common denominator so it is now (5/20)-(4/20)

The denominator stays the same so you are left with 1/20 which is still the power over 6

6^1/20

Answer:

[tex]6^{\frac{1}{20} }[/tex]

Step-by-step explanation:

[tex]6^{\frac{1}{4} } /6^{\frac{1}{5} }[/tex]

1/4 - 1/5 = 1/20

Answer:

See below

Step-by-step explanation:

To create a dot plot:

We need to draw/put dots with the given data.

You'll find your answer in the attached file.

Let me know if it's not clear!

Answer:

1/2 (or) 0.50 (or) 50%

Step-by-step explanation:

10 out of 20 wedges are worth more than 10.

10/20 = 1/2 (or) 0.50 (or) 50%

Answer:

0.75

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The first student is from a class of 12.

The first student = 9/12 for the fist male.

The second male is 8 out of 11.

The probability of both being males is

9/12 * 8/11 = 3/4 * 8/11 = 6/11

Answer:

Your answer is A

Step-by-step explanation:

By using substitution method, we obtained the solution of equations (3, 3).

The given linear system of equations are 6x+3y=27 and 5x+2y=21.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Using substitution method we can solve given equations

6x+3y=27 can be written as 2x+y=9 ----------(I)

5x+2y=21 ----------(II)

From equation (I), we have y=9-2x

Substitute y=9-2x in equation (II), we get

5x+2(9-2x)=21

⇒ 5x+18-4x=21

⇒ x=21-18

⇒ x=3

Substitute x=3 in equation (I), we get

2(3)+y=9

⇒ y=3

Therefore, by using substitution method, we obtained the solution of equations (3, 3).

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ6

Answer:

The length of the diagonal of the trunk is 56.356011 inches

Step-by-step explanation:

According to the given data we have the following:

height of the trunk= 26 inches

length of the trunk= 50 inches

According to the Pythagorean theorem, to calculate the length of the diagonal of the trunk we would have to calculate the following formula:

length of the diagonal of the trunk=√(height of the trunk∧2+length of the trunk∧2)

Therefore, length of the diagonal of the trunk=√(26∧2+50∧2)

length of the diagonal of the trunk=√3176

length of the diagonal of the trunk=56.356011

The length of the diagonal of the trunk is 56.356011 inches

Answer:

Which numbers go to each bakery

Answer:

D.  Median for both bakeries because the data is not symmetric.

Step-by-step explanation:

Answer:

6 combinations

Step-by-step explanation:

3 coats => Pink, Red, White

2 Scarves => Black, Grey

Gloves => Only 1

So the combination are drawn in the tree diagram below.

Hi there! Hopefully this helps!

---------------------------------------------------------------------------------------------------------

Since she has 3 coats, 2 scarfs, and 1 glove:

She has 6 ways to choose a coat, a scarf, and a glove(s).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

My 6 combinations:

1.) Red coat, black scarf, white glove(s).

2.) White coat, grey scarf, white glove(s).

3.) Pink coat, black scarf, white glove(s).

4.) Red coat, grey scarf, white glove(s).

5.) White coat, black scarf, white glove(s).

6.) Pink coat, grey scarf, white glove(s).

Answer:

190 possibilities.

Step-by-step explanation:

The problem is called 20 choose 2, given by the formula for combinations

C(20,2) = 20! / (2! (20-2)!) = 190

alternatively, we can reason it this way:

there are 20 choices to choose a captain and 19 choices for an alternate captain for a total of 380 ways.

However, there are 20 choices to choose an alternate captain and 19 choices for a captain for a total of 380 ways.

Since we are essentially double counting every choice of the posts, we need to divide 380 by 2 to get 190 ways.

Answer:

                 √33

x = -5/2 ± ---------

                     2

Step-by-step explanation:

Through completing the square, we get:

x^2 + 5x + (5/2)^2 - (5/2)^2 - 2 = 0, or

(x + 5/2)^2 - 25/4 - 2 = 0.

This simplifies to

(x + 5/2)^2 = 33/4

Taking the square root of both sides yields:

x + 5/2 = ±√(33/4), which can be solved explicityl for x:

                 √33

x = -5/2 ± ---------

                     2

Answer:

A. Obtuse

Step-by-step explanation:

Well we can cross out C and D just by looking at the triangle because the triangle is not equal and there is no right angle.

Also it is not B an acute because not all the angles are acute.

Hence, the answer is A. Obtuse

Answer:

[tex]\boxed{\mathrm{A}}[/tex]

Step-by-step explanation:

An obtuse triangle is a triangle with one obtuse angle and two acute angles.

An obtuse angle is an angle greater than 90 degrees.

An acute angle is an angle less than 90 degrees.

Angle C is an obtuse angle, it is greater than a right angle or 90 degrees.

Angles B and A are acute angles, they are less than a right angle or 90 degrees.

Answer:

7

Step-by-step explanation:

Answer:

(a) y=8x-46

(b) 8x-y=46

Step-by-step explanation:

-y=-8x+4

y=8x+4

We know that 8 is the slope, and if we need a equation parallel to this line, then it will have the same slope.

Substitute (6,2)

2=8(6)+b

2=48+b

b=-46

The final answer is y=8x-46

Answer:

Lead

Step-by-step explanation:

According to the chart, we can see that lead has the highest number here, so lead has the highest freezing / melting point in this chart.

If we were looking for the element with the lowest freezing / melting point, then we would look for the lowest number, which would belong to Helium, at -272.

Answer:

To most closely estimate the difference, I would round 62,980 to the nearest thousand, so it will be 63,000. That is because when rounding, 63,000 is large enough so that adding will be easy, and 62,980 is relatively close to 63,000.

I would round 49,625 to the nearest thousand, since it would make the subtraction easier and 49,625 is only 375 units away from 50,000.

63,000 - 50,000 = about 13,000.

Hope this helps!