Angie is x years old. Her sister is 12 years older than her while their mother is twice as old as her sister. Betty is 3 years younger than angie while Betty's mother is 4 times as old as Betty. Express Angie's mother's age in terms of x. express Betty's mother's age in terms of x. if Angie's mother is 6 years older than Betty's mother, find Angie's age​

Each drill takes $44 in materials and $36 in labor.  So it costs the company ($44+$36)= $80 to MAKE one drill.  THEN they're ready to sell it.  

At the same time, the company has to pay $4,000 just to use the building to make the drills.

I can see at least two different questions here:

Question #1). How much does it cost the company if they MAKE 330 drills in one month ?

Materials and labor:  330 x ($80)  =  $26,400

Rent the building space:  $4,000

Total for the month:  $30,400

Question #2).  How many drills do they have to SELL just to pay back the amount they already spent to manufacture those drills ?

We can't answer that right now, because we don't know the PRICE they charge for each drill when somebody buys it.

Answer:

Step-by-step explanation:

Three

Sum of all numbers beginning at 0 up to 2200 that are divisible by 3

a = 3

d = 3

L = 2199

Now we need to find out how many there are.

L = a1 + (n - 1)*d

2199 = 3 + (n-1)*3             Subtract 3

2199 - 3 = (n - 1)*3            Divide by 3          

2196/3 = n - 1

732 = n - 1                        Add 1 to both sides

733 = n                    

Sum = (a + L)*n /2            Substitute the values

Sum = (3 + 2199)*733/2   Combine and Divide by 2

sum = (1101)*733               Multiply

Sum = 807033

Five

Go through exactly the same steps.

a = 5

L = 2195  ( below 2200. You can't include 2200)

d = 5

L = a + (n-1)*d

2195 = 5 + (n-1)*5

2190 = (n - 1)*5

438 = n - 1

439 = n

Sum = (a + L ) * n

Sum = (5 + 2195)*439/2

Sum = 1100 * 439

Sum = 482900

===============

The problem is ambiguous, so I'm going to leave the two answers that are there.

Here's the problem.

What do you do with the numbers that are divisible by both? I counted them in both sums, but that may not be correct.

As it stands your answer should 965800 + 482900

Nor does it seem right to count them only in 1 sum. So the answer is given by adding the two numbers above.

Answer:

50(0.6)

Step-by-step explanation:

There are 5 coolers at the event - 3 popsicles, and 2 ice cream. If randomly selecting a cooler, that means there's a 3 in 5 chance you will get a popsicle, which simplifies to 0.6. So simply multiply the probability (0.6) by the amount of football players (50) to get the answer, which is that 30 football players will get a popsicle.

Answer: Close to 30 but not 30 will get a popsicle.

Step-by-step explanation:

Here 3 coolers so if it pick the 3 out of 5 so 3/5= 0.6

and 50 players so 50*0.6= 30 but its probability will be 30 but not exactly 30.

Answer:

B

Step-by-step explanation:

There is one input for every output, so it is a function.

And since a relation = function, it is also a relation.

Answer:

The correct answer option is B. both a function and a relation.

Step-by-step explanation:

From the given graph, we can see that for each input we have an output.

It means that we have a function because each element in the domain is matched with exactly one element in the range.

And it is also a relation since each input related to the out put in some way.

Therefore, the correct answer option is B. both a function and a relation,

Answer:

1363.2 / 16

=85.2  

Answer:

85.2

Step-by-step explanation:

first, you need to bring up the decimal. then go through the numbers and see how many times 16 can go into 1 or 13 or 136, so on and so forth. after u do the continue to figure out what 16 goes into with the answers that you get from subtracting until you get your answer of 85.2

Answer:

Answer C. 4 to 7

Step-by-step explanation:

32 muffins to 56 donuts.

32/8=4 and 56/8=7

So it reduces to 4 to 7

4 to 7

i just divided each number by the smallest common factor which was 8

Answer:  1.58 hours

Step-by-step explanation:

[tex]5400=1800(2)^t\\\\3=2^t\\\\ln\ 3=ln\ 2^t\\\\ln\ 3=t\cdot ln\ 2\\\\\dfrac{ln\ 3}{ln\ 2}=t\\\\1.58=t[/tex]

least 3/3 3/6 3/7 greatest3/9

Answer:

Step-by-step explanation:

The order will be:

3/3, 3/6, 3/7, 3/9

When the fractions have the same numerator, the minor will be the greatest denominator.

Best regards

You just divide 480 by 80 to see how many times it can go into.

480/80 = 6

Therefore, 8 goes into 480 6 times.

Hopefully, that helps you.

It can go into it 6 times

Answer:

Its graph A on edge. Just took it!

Step-by-step explanation:

The graph that represents the inequality |x + 1| + 2 < –1 is at option 1. Since the equation has no solution (empty set), the graph does not get intersected.

The inequality equation is the one that is true for some values of the variable. The inequalities may be greater than, less than, greater than or equal, or less than or equal.

The given inequality equation is

|x + 1| + 2 < –1

⇒ |x + 1| +2 - 2 < –1 -2

⇒ |x + 1|  < –3

So, (x+1) < -3 or (x+1) > -3

⇒ x < -4 or x > -4

This is not possible. So the solution set of the given inequality is empty.

So, the graph is shown for different expressions.

The expressions are considered as

f(x) = |x + 1| + 2 and y < -1

In option 1, the graph shows these two expressions. So, the correct representation for the given inequality is option 1.

Since there is no solution, they do not have any intersecting points in the graph.

Learn more about inequalities here:

https://brainly.com/question/9774970

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Answer:

The value of a is 1

Step-by-step explanation:

* Lets talk about some facts in the circle

- If two chords equal in length, then they are equal in measure

 or if they are equal in measure, then they are equal in length

- All the radii of the circle are equal

* Lets look to the figure

∵ The measure of arc WV = 86°

∵ The measure of arc XY = 86°

∴ The two arcs equal in measure, then they are equal in length

∴ WV = XY

∵ WV = 28

∵ XY = 4a + 24

∴ 4a + 24 = 28 ⇒ subtract 24 from the both sides

∴ 4a = 4 ⇒ divide two sides by 4

∴ a = 1

* The value of a is 1

Answer:

The dimensions of the dilated image are 60 cm by 32 cm

Step-by-step explanation:

we know that

The scale factor is equal to 4

The scale factor is > 1 -----> therefore the dilation is an enlargement

To find the dimensions of the dilated image, multiply the original dimensions by the scale factor

New Length=(15)(4)=60 cm

New Width=(8)(4)=32 cm

The dimensions of the dilated image are 60 cm by 32 cm

Answer:

4 hours

Step-by-step explanation:

30(4)+65= 185

Answer: 4.5 hours.

Step-by-step explanation:

Hi, to answer this question we have to write an inequality with the information given;

Cost: 30h+65 (h= hours)

So, the cost must be less or equal to the money that Brianna can spend.(200)

Mathematically speaking:

30h+65 ≤ 200

Solving for h

30h≤ 200 -65

30h ≤ 135

h ≤ 135/30

h≤ 4.5

She can rent the boat for 4.5 hours.

50 individuals bought single tickets and 65 couples bought couple tickets.

Let's define our variables first:

Let [tex]x[/tex] be the number of individuals who bought single tickets.
Let [tex]y[/tex] be the number of couples who bought couple tickets.

From the problem, we have two pieces of information:

We can use these pieces of information to create the following system of equations:

[tex]x + 2y = 180[/tex]

[tex]3x + 5y = 475[/tex]

First, solve equation 1 for [tex]x[/tex]:

[tex]x = 180 - 2y[/tex]

Now, substitute this expression for [tex]x[/tex] in equation 2:

[tex]3(180 - 2y) + 5y = 475[/tex]

Simplify and solve for [tex]y[/tex]:

[tex]540 - 6y + 5y = 475[/tex]

[tex]540 - y = 475[/tex]

[tex]-y = 475 - 540[/tex]

[tex]-y = -65[/tex]

[tex]y = 65[/tex]

So there were 65 couples at the dance.

To find the number of individuals who bought single tickets, substitute [tex]y[/tex] back into the expression for [tex]x[/tex]:

[tex]x = 180 - 2(65)[/tex]

[tex]x = 180 - 130[/tex]

[tex]x = 50[/tex]

slope =6, y-intercept =10

Answer:

The rate of change is 6

Step-by-step explanation:

The rate of change (which is also known as slope), is always the coefficient of x, when written in slope-intercept form. Therefore, in this case, it is 6.

Answer:

[tex]\sqrt[3]{3}[/tex]

Step-by-step explanation:

Answer:

[tex]\sqrt[3]{3}[/tex]

Step-by-step explanation:

The given radical is

[tex]\frac{\sqrt[3]{60} }{\sqrt[3]{20} }[/tex]

We give the two radicals  a common radical to obtain;

[tex]\sqrt[3]{\frac{60 }{20}}[/tex]

Divide the expression under the common radical.

[tex]\sqrt[3]{3}[/tex]

The correct choice is A.

I think the answer is 0.62

Answer:

D. 0.53

Step-by-step explanation:

From the given picture, the number of persons from California and prefers brand A = 90

The total numbers of persons prefer brand A = 170

The probability that the person is from California, given that the person prefers brand A will be :-

Hence, The probability that the person is from California, given that the person prefers brand A = 0.53

Answer:

50 yards

Step-by-step explanation:

Yards are 3 feet. This is a simple question, all you have to do is 150 divided by 3 and you shall receive 50 yards. Hope this helps!

Answer:

Step-by-step explanation:

the rectangle side is 9.3 yd.

the front side is 27.9

the back is 26.35

the top is 12.75 and so is the bottom. then add them

9.3 + 27.9 + 26.35 + 12.75 + 12.75

= 89.5 Yards of area space

The supplement of a 9 degree angle is 171 degrees.

Final answer:

The measure of the supplement of a 9 degree angle is 171 degrees, which is found by subtracting 9 degrees from 180 degrees.

Explanation:

The measure of the supplement of a 9 degree angle is the amount you would need to add to 9 degrees to reach a straight line, which is 180 degrees. This is calculated by subtracting the given angle from 180 degrees.

To find the measure of the supplement of a 9 degree angle:

Start with a straight line, which measures 180 degrees.

Subtract the given angle from 180 degrees: 180 degrees - 9 degrees.

This results in a supplement of 171 degrees.

Therefore, the supplement of a 9 degree angle is 171 degrees.

Answer:

I think the answer is -25

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

This notation basically means "putting the function f into g and then evaluating that at 3".

Let's do this.

[tex](gof)(x)=-(|x+2|})^2\\(gof)(3)=-(|(3)+2|})^2\\(gof)(3)=-(|5|})^2\\(gof)(3)=-(5})^2\\(gof)(3)=-25[/tex]

Thus, A is the correct answer.

Answer:

See attachment.

Step-by-step explanation:

The given equation is

[tex] {y}^{2} = - 4x[/tex]

We solve for x to obtain:

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

This is a horizontal parabola that has its vertex at the origin.

The graph of this parabola opens in the direction of the negative x-axis because of the negative coefficient.

The focus is (-1,0) and the directrix is x=1

See diagram in the attachment.

Answer:

The answer is A

Step-by-step explanation:

Its just the other persons longer answer but simplified I guess..

The polynomial that correctly combines the like terms and to express in standard form is Option (D) [tex]3x^{4} + x^{3}y - 8x^{2}y^{2} + 9xy^{3} - 13y^{4}[/tex] .

Given polynomial is -

=  [tex]9xy^{3} - 4y^{4} -10x^{2}y^{2} + x^{3}y + 3x^{4} + 2x^{2}y^{2} - 9y^{4}[/tex]

Separating the like terms from the above polynomial -

=  [tex]9xy^{3} + (-10x^{2}y^{2} + 2x^{2}y^{2})+ x^{3}y + 3x^{4}+( - 9y^{4} - 4y^{4})[/tex]

Expressing the polynomial in standard form -

=  [tex]3x^{4} + x^{3}y - 8x^{2}y^{2} + 9xy^{3} - 13y^{4}[/tex]

Therefore the polynomial that correctly combines the like terms and to express in standard form is Option (D) [tex]3x^{4} + x^{3}y - 8x^{2}y^{2} + 9xy^{3} - 13y^{4}[/tex] .

To learn more about solving polynomial expression, refer -

https://brainly.com/question/12240569

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Answer: There are 21 slices of  [tex]\dfrac{3}{8}[/tex]  inch.

Step-by-step explanation:

Since we have given that

Length of one cucumber = 3 inches

Length of another cucumber = 5 inches

Total length would be

3 + 5 = 8 inches

According to question,  She cuts the cucumbers into [tex]\dfrac{3}{8}[/tex] inch slices and adds them to a salad.

so, Number of [tex]\dfrac{3}{8}[/tex]  inch thick slices would be

[tex]\dfrac{8}{\dfrac{3}{8}}\\\\=\dfrac{8\times 8}{3}\\\\=\dfrac{64}{3}\\\\=21.33\\\\\approx 21[/tex]

Hence, there are 21 slices of  [tex]\dfrac{3}{8}[/tex]  inch.

Answer:

1/1296

Step-by-step explanation:

Assuming that the probability of rolling a number is the same (1/6), all we have to do it multiply 1/6 by 4 (the number of times you roll the dice).

So 1/6 * 1/6 * 1/6 * 1/6 is just 1/6^4 and 6^4 is 1296.

Therefore the probability of rolling a 6 4 times in a row is 1/1296.

C because -5/4 is equal to 1.25

ANSWER

point C

EXPLANATION.

[tex] - \frac{5}{4} = - 1.25[/tex]

-1.25 is less than -1 but greater than negative -2.

On the number line, -1.25 is closer to -1 than to -2.

From the graph, point C is between -2 and -1 but closer to -1.

Therefore

[tex] - \frac{5}{4} [/tex]

is represented by point C on the number line .

I think the answer is 27 square feet.

18 square feet, I believe.

You can describe them by Charts and lines or if it has a single peak

The shape of graphs can vary and be influenced by the number of bars. Understanding general graph shapes is key to interpreting data.

The shape of a graph can vary depending on the data being represented. It could have a V shape, a hump in the middle or at either end, or go straight across.

Increasing the number of bars in a graph could affect the shape by making it appear smoother and more continuous or by providing more detailed information.

General shapes of graphs for different types of motion can help in understanding and explaining the data being presented.

Answer:

Let

x = number 8043

y = number  9

z = the product of 8043 and 9

z = x*y

We substitute

z = (8043)*(9)

z = 72387