Step-by-step explanation:
Point T is between Points S and U, where all 3 points are collinear.
Therefore ST + TU must be equal to SU.
(2x + 6) + 4 = 4x
2x + 10 = 4x
2x = 10
x = 5.
Hence, length of ST = 2(5) + 6 = 16.
The length of ST will be 16 units.
What is a line segment ?A line segment is basically a line with two end points.
two or more than two co-linear points is needed to form a line segment.
In the given question
Line segment is SU
Point T is in between point S and point U here all the points are co-linear
SU = ST + TU
4x = (2x + 6) + 4
4x = 2x + 10
2x = 10
x = 5
∴ The length of ST = 2x + 6 = (2×5) + 6 = 16 units
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Given the following functions, find g(f(x)). f(x) = 2x + 1 g(x) = x2 + 6
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
REALLY IN NEED OF HELP!! please do the best you can<3 Many companies make products to sell, either to other businesses or directly to consumers. The amount of money that a company collects from sales of its products is called its revenue. When a business produces a product, there are costs associated with production. For example, if a cola company is producing a diet cola, they incur costs from purchasing ingredients, aluminum to make cans, cardboard to make boxes, as well as the cost of paying their employees, and more. The profit that a company earns is the difference between the amount earned and the amount spent. Consider the lip color product from each of the two competing high-end cosmetic companies described below. The Alcone Company Besame Beauty This company makes a popular shade of lip color that retails for $45 per tube. The lip color costs The Alcone Company $36 per tube to make and the monthly costs associated with manufacturing just this color are $1,500. A popular shade of lip color from this company costs the consumer $55 per tube. The process to make the lip color costs Besame Beauty $44 per tube and the monthly costs associated with this are $2,200. Use the information given to explore some of the mathematical concepts you have practiced so far by answering the questions below. 1. Develop a single formula you can use to find the profit earned by both The Alcone Company and Besame Beauty for their lip color. Explain why your formula will work for both companies. 2. Write an expression that each company can use to describe the amount of money they will earn from selling their lip colors. Let x represent the number of tubes of lip color each company sells. 3. Write an expression that each company can use to describe the amount of money it costs them to manufacture the lip color each month. Let x represent the number of tubes of lip color each company sells. 4. Use your responses to questions 1, 2, and 3 to write fully simplified expressions each business could use to find their monthly profit. State which property of algebra you are using at each step. Remember that x represents the number of tubes of lip color each company sells. 5. If each company makes 225 tubes of their lip color this month, what amount of profit can they expect? Interpret your answers in terms of the problem’s context. 6. If each company makes and sells 150 tubes of their lip color this month, what amount of profit can they expect? Interpret your answers in terms of the problem’s context. 7. Explain how you used the order of operations to help you answer questions 5 and 6. 8. Explain how you figure out the number of tubes of lip color each company would need to manufacture and sell in order to earn a profit that is greater than 0. 9. Implement your plan from question 8. What is the minimum number of lip color tubes each company would need to manufacture and sell in order to earn a profit that is greater than 0? Interpret your answers in context of the question
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
Expand and simplify the expression
(p-4q) (3p+q) - (2p+3q) (4p-7q)
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.
If a=3, b= -5
then who has
2b + a
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
What is Uche's pumping rate in \dfrac{\text{mL}}{\text{s}} s mL start fraction, start text, m, L, end text, divided by, start text, s, end text, end fraction?
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.
Find the 7th term in the
sequence
-4, -8,-16,
Answer:
-256
Step-by-step explanation:
Given:
a₁ = -4 (First term) r = -8 ÷ -4 = 2 (Common ratio) n = 7 (Number of term)Find:
a₇ = ?Formula:
aₙ = a₁ · rⁿ⁻¹Solve:
a₇ = -4 · 2⁷⁻¹a₇ = -4 · 2⁶a₇ = -4 · 64a₇ = -256Can someone help please
Answer:
13.2
Step-by-step explanation:
11/5=x/6
66/5=×
13.2
Using four or more complete sentences, contrast race and ethnicity and provide an example of each.
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)
What is m2 + m 23? Pls I need ASAP
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.
which number is greater 0.31 or 0.03
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 :)
Find the difference of 18.6 and 5.24.*
Answer:
13.36
Step-by-step explanation:
18.60 - 5.24
=>13.36
on a ship, the price of a gift is 24 euros or $ 30. what is the difference in the price on a day when the exchange rate is 1 euro=$ 1.2378? Give your answer in dollars, correct to the nearest cent
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!
20 Points!!! any absurd answers, I will report. In which expression should the exponents be multiplied? 2 to the 9th over 2 to the 7th (610)−7 one half to the 3rd times one half to the 5th 52 ⋅ 54
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:
If $17,000 is invested in an account for 25 years. Calculate the total interest earned at the end of 25 years if the interest is: (a) 7% simple interest: $ (b) 7% compounded annually: $ (c) 7% compounded quarterly: $ (d) 7% compounded monthly: $
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
Can anyone help me understand this question
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!
A bus makes a stop at 2:30, letting off 12 people and letting on 9. The bus makes another stop ten minutes later to let off 4 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?
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 ^^)
Please help!!
Darrel’s baby sister was 8 pounds at birth. She gained 4 pounds each year. She now weighs 32 pounds. How old is she?
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!
I need help on b. and c.
Answer:
Step-by-step explanation:
1. 8a = -2
a = -2/8 =-1/4
2. -11b = -6
b = 6/11
3. -2c = 16
c = -8
3(a-7b)+2(4a+3b)+23(a-b)
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
What’s 13/19 as a decimal rounded to the nearest hundredth?
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!
A 37-ft ladder leans against a building so that the angle between the ground and the ladder is 73°. How high does the ladder reach up the side of the building?
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.
I know it’s a lot but I’m pretty stupid and could use help online class ain’t easy when you’re internet sucks thanks!
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.
10t+50=100
Use the subtraction property of equality first.
This will help so much, thank you!
Square root of 9610 by division method
Answer:98.03060747
Step-by-step explanation:
Square root 9610
−13 = 5(1 + 4m) − 2m multi step equation show all steps pls
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
Need help ASAP not sure how to simplify this could someone pleade comment answer
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
Please help me? -4(7+2x)=-7x-33
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
I WILL MARK BRAINIEST ZWYX and ZZYX are supplementary angles. mZWYX 8x + 12 and mZZYX = 2x + 28. What is mZWYX? mZWYX
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:
mZWYX = 124°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
mZWYX = 124°Hope this helps you
Rewrite the division problem using improper fractions. 3 and three-fourths divided by negative five-eighths Negative StartFraction 5 over 8 EndFraction divided by StartFraction 15 over 4 EndFraction StartFraction 15 over 4 EndFraction divided by (negative StartFraction 5 over 8 EndFraction) StartFraction 15 over 4 EndFraction divided by StartFraction 5 over 8 EndFraction Negative StartFraction 15 over 4 EndFraction divided by (negative StartFraction 5 over 8 EndFraction
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).
What is division?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).
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Type the correct answer in each box. A company manufactures three types of cabinets, type A, type B, and type C. Last week, the number of type B cabinets produced was 30 more than the number of type A cabinets produced. The number of type C cabinets produced was 20 more than times the number of type A cabinets produced. 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 _____ . The total number of cabinets produced last week was ____.
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.