Point T is on line segment SU. Given ST = 2x + 6, TU = 4, and SU = 4x, determine the numerical length of ST

Answer:

13.2

Step-by-step explanation:

11/5=x/6

66/5=×

13.2

Answer:

3a-21b+8a+6b+23a-23b.

3a+8a+23a-21b+6b-23b.

34a-38b.

Answer:

34a-38b

Step-by-step explanation:

3a-21b+8a+6b+23a-23b

=34a-38b

Answer:

[tex]-5p^2-9pq+17q^2[/tex]

Step-by-step explanation:

[tex](p-4q) (3p+q) - (2p+3q) (4p-7q)\\\\\mathrm{Expand}\:\left(p-4q\right)\left(3p+q\right):\quad 3p^2-11pq-4q^2\\=3p^2-11pq-4q^2-\left(2p+3q\right)\left(4p-7q\right)\\\\\mathrm{Expand}\:-\left(2p+3q\right)\left(4p-7q\right):\quad -8p^2+2pq+21q^2\\=3p^2-11pq-4q^2-8p^2+2pq+21q^2\\\\\mathrm{Simplify}\:3p^2-11pq-4q^2-8p^2+2pq+21q^2:\\\quad -5p^2-9pq+17q^2[/tex]

Answer:

-5p² -9pq +17q²

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

Step-by-step explanation:

1. 8a = -2

  a = -2/8 =-1/4

2. -11b = -6

    b = 6/11

3. -2c = 16

    c = -8

Answer:

13.36

Step-by-step explanation:

18.60 - 5.24

=>13.36

Answer:

90 degrees

Step-by-step explanation:

the answer is 90 degrees because when the triangle is a right triangle, the two smaller angles equal 90 degrees.

We need to find an equation that's in the form of: y = kx

k = constant of proportionality

Since it has to equal 9, this will be the value of k (y = 9x).

The correct answer is B.

Best of Luck!

Answer: bus makes a stop at 2:30, letting off 15 people and letting on 9

-15 + 9 = -6

The bus makes another stop ten mins later to let off 4 more people  

-4

Happy to Help! (Now i must go back to my planet ^^)

Answer:

m = -1

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

-13 = 5(1 + 4m) - 2m

Step 2: Parenthesis (distribute)

-13 = 5 + 20m - 2m

Step 3: Combine like terms (m)

-13 = 5 + 18m

Step 4: Subtract 5 on both sides

-18 = 18m

Step 5: Divide both sides by 18

-1 = m

Step 6: Rewrite

m = -1

Answer:

m = -1

Step-by-step explanation:

-13 = 5(1 + 4m) - 2m

Step 1 : Distributive Property

-13 = 5 + 20m - 2m

Add like terms

-13 = 5 + 18m

Subtract 5 on both sides

-18 = 18m

Divide

[tex]\frac{-18}{18}[/tex] = [tex]\frac{18m}{18}[/tex]

m = -1

Hi There!!

B = 1/2A + 30

C = 3/2A + 20

B = C

1/2A + 30 = 3/2A + 20

30 - 20 = 3/2A - 1/2A

10 = A

B = 1/2A + 30

B = 1/2(10) + 30

B = 5 + 30

B = 35

C = 3/2A + 20

C = 3/2(10) + 20

C = 15 + 20

C = 35

type A cabinets produced was 10

type B and type C cabinets produced were both 35

Good Luck!!

[tex]Itsbrazts[/tex]

Answer:

If the company made the same number of type B and type C cabinets last week, then the number of type A cabinets produced was 10. The total number of cabinets produced last week was 80.

Step-by-step explanation:

I took the test.

Answer:

The price would be $29.7072

Step-by-step explanation:

Since the original price in euros is 24, you need to multiply $ 1.2378 by 24.

1.2378 × 24 = $29.7072

The new price would be $29.7072.

Hope this helps!

Answer:

0.68

Step-by-step explanation:

We can use long division to find the decimal equivalent of [tex]\frac{13}{19}[/tex] since a fraction is just another way of writing a division statement.

[tex]19\overline{\smash{)}#13}\\\\0.\\19\overline{\smash{)}#130}\\\\0.6\\19\overline{\smash{)}#130-114=16}\\\\0.6\\19\overline{\smash{)}#160}\\\\0.68\\19\overline{\smash{)}#160-152 = 8}\\\\0.68\\19\overline{\smash{)}#80}\\\\0.684\\19\overline{\smash{)}#80}[/tex]

0.684 to the nearest hundredth is 0.68.

Hope this helped!

Answer:x=5

Step-by-step explanation:

First we do the parenthesis

-4(7+2x)=-7x-33

To get

-28+-8x=7x+-33

and

-8x-28=-7x-33

Then we Add 7x to both sides.

-8x-28+7x=-7-33+7x

-x-28=-33

Then we Add 28 to both sides.

-x-28+28=-33+28

-x=-5

Lastly Divide both sides by -1.

-x/-1=-5/-1

X=5

Answer:

Step-by-step explanation:

g(x) = x^2 + 6

f(x^2 + 6) = 2(x^2 + 6) + 1 = 2x^2 + 12 + 1 = 2x^2 + 13

Problem 5

There are 2 answers and they are choice B and choice C

We can tell by looking at the factors. For something like choice B, the factor (x+6) shows up twice, so that means x = -6 is a double root. Something like choice A has roots x = -6 and x = 6 which aren't the same.

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

Problem 6

Ted is correct. He set each factor equal to 0 and solved each equation that resulted from doing so.

Note how 3x-2 = 0 turns into 3x = 2 after adding 2 to both sides. Then he divided both sides by 3 to get x = 2/3. That's the first solution. The second solution x = -5 results from solving x+5 = 0. You subtract 5 from both sides.

To fix Maggie's mistake, you just need to correct her steps to mirror Ted's steps.

Answer:

35.4 ft

Step-by-step explanation:

To solve this problem, we need to represent the statement in the question in a diagram.

Please see attached photo.

In the attached photo, x is the height of the building.

Thus, we can calculate the value of x as shown below:

Angle θ = 73°

Opposite = x

Hypothenus = 37 ft

Using the Sine ratio, the value of x can be obtained as follow:

Sine θ = Opposite /Hypothenus

Sine 73 = x /37

Cross multiply

x = 37 × Sine 73

x = 35.4 ft

Therefore, the ladder reached up to 35.4 ft of building.

Step-by-step explanation:

Pumping rate my be defined as the the rate ta which a liquid is pumped through a system. It is measured as the flow of the liquid at a unit time. It may be referred to as the capacity of the pump which defines how much liquid is being passed through the pump in a certain given time.

The pumping rate in mL/s refers to the amount of liquid passed in one second of time.

Answer:

Race and Ethnicity are considered to be social constructs that enable humans to be grouped or categorized. They are sometimes used interchangeably but most argue that they are different and give them different definitions.

Race is generally used to refer to people that have the same physical characteristics such as skin color or the same texture of hair for instance Black and White/Caucasian.

Ethnicity on the other hand relates to people sharing a common culture, language, nation, and/ or tribal heritage for instance, the English, the Irish and the Igbo.

Answer:

The terms race and ethnicity are often used interchangeably throughout society. However, there is a distinct difference between the two. Race refers to a classification system based on inherited physical or biological traits, such as eye, hair, or skin color. In contrast, ethnicity refers to a group of people that can be linked together by common characteristics such as shared experiences, history, culture, or beliefs. Examples of ethnic groups include Native Americans, French Canadians, and Kongos.

Step-by-step explanation:

(edg2020)

Answer:

-7

Step-by-step explanation:

2b+a

2(-5)+3

-10+3

-7

Answer:-7

Step-by-step explanation:

2b+a

2×-5=-10

-10+3=-7

Answer:

the answer is 15/4 divided by (-5/8)

Step-by-step explanation:

just did the assignment hope this helps. <3

The division problem using improper fractions can be written as (15 / 4) ÷ (- 5 / 8).

The division is the basic arithmetic operation, in which you are separating the number into some parts. In division, we distribute the total numbers.

Given:

3 and three-fourths divided by negative five-eighths Negative Start Fraction 5 over 8 End Fraction divided by Start Fraction 15 over 4 End Fraction,

The above statement can be written as

3 3/4 ÷ (- 5 / 8)

Solve the mixed fraction = 3 3/4 = 4 × 3 + 3 /4

3 3/4 = 15 / 4

Therefore, the division problem using improper fractions can be written as (15 / 4) ÷ (- 5 / 8).

To know more about division:

https://brainly.com/question/27566440

#SPJ6

Answer:

-256

Step-by-step explanation:

Given:

Find:

Formula:

Solve:

Answer:98.03060747

Step-by-step explanation:

Square root 9610

Answer:

1. Profit =  Revenue - Cost

2.  For the Alcone Company Revenue = $45 × x

For the Besame Beauty Revenue = $55 × x

3.  Alcone Company; Cost = $1,500 + $36×x

Besame Beauty; Cost = $2,200 + $44×x

4)  For Alcone Company, we have;

Profit = $9 × x - $1,500

For  Besame Beauty, we have;

Profit = $11 × x - $2,200

5) For Alcone Company;

Profit= $525

For Besame Beauty;

Profit = $275

6) For Alcone Company;

Profit = -$150

For Besame Beauty;

Profit  -$550

7) Order of operations is used to ensure that the revenue is first calculated before the cost is subtracted to find the costs

8) In order to find the number of tubes that the company would need to manufacture in order to have a profit of greater than 0, we equate the expression using the inequality of greater than 0 to find the value of x that must be surpassed to have a profit greater than 0

9) For Alcone Company;

The profit will be > 0 at x = 167 tubes

For Besame Beauty;

The profit will be > 0 at x = 201 tubes

Step-by-step explanation:

The given parameters are;

The Alcone Company

The price at which the shade of lip color is sold = $45 per tube

The cost incurred to make  the lip color = $36 per tube

The monthly manufacturing cost of manufacturing the lip color = $1,500

For Besame Beauty

The price at which the shade of lip color is sold = $55 per tube

The cost incurred to make  the lip color = $44 per tube

The monthly manufacturing cost of manufacturing the lip color = $2,200

1. The formula for finding the profit is given as follows;

Profit =  Revenue - Cost

Revenue = Sale price × Number of tubes sold

Cost = The monthly manufacturing cost + The cost incurred to make the lip color × Number of tubes

2. The expression for revenue for the Alcone Company is given as follows;

Revenue = $45 × x

The expression for revenue for the Besame Beauty is given as follows;

Revenue = $55 × x

3. The expression for the cost for the manufacture of the lip color by the Alcone Company per month is given as follows;

Cost = $1,500 + $36×x

The expression for the cost for the manufacture of the lip color by the Besame Beauty per month is given as follows;

Cost = $2,200 + $44×x

4)  For Alcone Company, we have;

Revenue = $45 × x

Cost = $1,500 + $36×x

By transitive property and distributive property, we have

Profit =  Revenue - Cost = $45 × x - ($1,500 + $36×x) = $9 × x - $1,500

Profit = $9 × x - $1,500

For  Besame Beauty, we have;

Revenue = $55 × x

Cost = $2,200 + $44×x

By transitive property and distributive property, we have;

Profit =  Revenue - Cost = $55 × x - ($2,200 + $44×x) = $11 × x - $2,200

Profit = $11 × x - $2,200

5) With the number of tubes produced = 225 tubes, we have;

For Alcone Company;

Profit = $9 × x - $1,500 = $9 × 225 - $1,500 = $525

ForBesame Beauty;

Profit = $11 × x - $1,500 = $11 × 225 - $2,200 = $275

6) With the number of tubes produced = 150 tubes, we have;

For Alcone Company;

Profit = $9 × x - $1,500 = $9 × 150 - $1,500 = -$150

For Besame Beauty;

Profit = $11 × x - $2,200 = $11 × 150 - $2,200 = -$550

7) Order of operations is used to ensure that the revenue is first calculated before the cost is subtracted to find the costs

8) In order to find the number of tubes that the company would need to manufacture in order to have a profit of greater than 0, we equate the expression using the inequality of greater than 0 to find the value of x that must be surpassed to have a profit greater than 0

9) For Alcone Company;

Profit = $9 × x - $1,500 >0

$9 × x  >0 + $1,500

$9 × x  > $1,500

x > $1,500/$9

x > 500/3

x > [tex]166\frac{2}{3}[/tex]

Therefore, the profit will be > 0 at x = 167 tubes

For Besame Beauty;

Profit = $11 × x - $2,200 > 0

$11 × x  > 0 + $2,200

$11 × x  > $2,200

x > $2,200/$11

x > 200

Therefore, the profit will be > 0 at x = 201 tubes

Answer:

a.) $29,750.00   simple interest

b.) $75,266.35  Compounded annually

c.) $79,358.65 compunded  quarterly

d.) $80,332.11 compounded monthly

Step-by-step explanation:

a.) Formula: I = p x r x t

Where:

P is the principal amount, $17000.00.

r is the interest rate, 7% per year, or in decimal form, 7/100=0.07.

t is the time involved, 25....year(s) time periods.

So, t is 25....year time periods.

To find the simple interest, we multiply 17000 × 0.07 × 25 to get that:

The interest is: $29750.00

______________________________

b.) $75,266.35

c.) $79,358.65

d.) $80,332.11

Subtract to find the weight she gained since birth.

32 - 8 = 24

Divide to see how many years passed.

24 / 4 = 6

Therefore, Darrel's baby sister is 6 years old.

Best of Luck!

Answer:

it would be 2 to the 9th over 2 to the 7th

Step-by-step explanation:

Answer:

it would be 2 to the 9th over 2 to the 7th

Step-by-step explanation:

Answer:

The number bigger is 0.31.

Step-by-step explanation:

Answer:

0.31 is greater than 0.03

Step-by-step explanation:

0.31 - 0.03 = 0.28

So, 0.31 is 0.28 greater than 0.03

Hope it helps :)

Answer:

124 degrees

Step-by-step explanation:

Look at the equation from the information they gave you. Supplementary angles always add up to 180 degrees, so make up the equation of 8x + 12 +  2x + 28 = 180. Simplify to get 10x + 40 = 180. Subtract 40 from both sides to get 10x = 140. Divide both sides by 10, and you will get x=14. Substitute the value of 10 into the variable x in the angle ZWYK to get 8(14) + 12. This will simplify into 112 + 12, which will eventually get you 124 degrees.

Answer:

Step-by-step explanation:

Since angles ZWYX and ZZYX are supplementary it means that the sum of their angles sum up to 180°

To find mZWYX we must first find x

To find x add ZWYX and ZZYX and equate them to 180 to find x

That's

ZWYX + ZZYX = 180

8x + 12 + 2x + 28 = 180

10x + 40 = 180

10x = 180 - 40

10x = 140

Divide both sides by 10

x = 14°

From the question

mZWYX = 8x + 12

Substitute the value of x into the expression

We have

mZWYX = 8(14) + 12

= 112 + 12

We have the final answer as

Hope this helps you

Answer:

8 (3/4)

Step-by-step explanation:

convert everything into improper frantions

-3 1/2 = -7/2

-12 1/4 = -49/4

common denominators

-7/2 = -14/4

solve

-(14/4)-(-49/9)

two negative cancel out to make a positive

-(14/4)+(49/9)

35/4

35 divided by 4 = 8.75 = 8 3/4