Homework - Lesson 20 - Practice Problems
14 -
1. Solve 2x < 10. Explain how to find the solution set.

Answers

Answer 1

Answer:

x<5

Step-by-step explanation:

you need to divide 2x by 2 which gives you x. then you do the same to the other side so (10/2) which gives you 5. this means x can be any number under 5 in order for the function to be true.


Related Questions

Katie Perry is standing 30 feet away from the entrance to a store. She sees Taylor Swift walk out of the store, and Katie keeps walking away from her at speed of 4 feet each second. Write an equation that represents Katie's distance from the store's entrance.


PLEASE HELP MEMEMEMEME

Answers

Answer:

y=4x+30

Step-by-step explanation:

y is distance, x is time

How many oz. of mixed nuts that contain
30% peanuts must Abhasra add to 6.9 oz.
of mixed nuts that contain 20% peanuts to
make a mixture with 27% peanuts?

Answers

Answer:

77

Step-by-step explanation:

Help me please 50 points .

Answers

Answer:

D. $80

Step-by-step explanation:

kayla equation: 30x+20=y

Sara equation: 35x+10=y

30x+20=35x+10

10=5x

2=x

30(2)+20=$80

35(2)+10=$80

Answer: $80

Step-by-step explanation:

Kayla:

Lesson fee ($30) + first-time fee ($20) = 50

Another lesson fee will make is $80

Sara:

Lesson fee ($35) + first-time fee ($10) = 45

Another lesson fee will make $80

Answer = 80

----% of 50 shirts is 35 shirts

Answers

Answer:

70%

Step-by-step explanation:

50/10 is 5 (which is 10%). 5 x 7 is 35 (or 70%)

70%

For this type of problem we can use a ratio. Using a ratio allows us to to find how much needs to be multiplied by 50 to get 35 (or our percentage needed).

To write the ratio we can say “for every 50 shirts there are 35 once multiplied by a certain percentage”. The ratio would be written out as 35:50. We need to find a way to get 50 to 35 by multiplying (by the percentage). To find the percentage we need to divide 35 by 50. 35/50=0.7.

When working with percentages, decimals will be multiplied by 100 and transferred to a percentage (0.7*100=70 which is then 70%. Multiplying 50 by 0.7 (or 70%) will then give you 35.

solve for x SOMEONE PLS!
71+49+7x+11=180

Answers

71+49+7x+11=180
71+49+7x=169
71+7x=120
7x=49
x=7

what energy is made when you do a backflip?

Answers

Answer:

kinetic energy is possessed

Please help y < 5 inequality

Answers

Answer:

Step-by-step explanation:

Ben goes to buy some school supplies at a store. He has $30.
COST OF SCHOOL SUPPLIES
Cost per Item
Items
(in dollars)
Notebook
12.50
Pen
0.75
Pencil box
2.25
Stapler
7.00
Calculator
17.00

Answers

Wrong because you are supposed to multiply or divide to get cents too

Answer:

it’s a Stapler, to pencil boxes and two pens

Step-by-step explanation:

are you have to do is add a calculator stapler stapler to pencil boxes and two pens altogether and you get exactly 30/// So technically you add 17+7+4.5+1.5

Point A is rotated 90 degrees counterclockwise around point C to form the image A'. Select three true statements based on the given information.

Answers

Answer:

When we rotate a point A, around point C, the distance between the points is invariant.

This means that if A' es the image of the rotated point, then A' must lie in a circle centered in C with radius AC.

Then the correct statements are:

A' lies on a circle centered at point C with radius AC

This is by definition.

m∠ACA' = 90°

This is because A is rotated 90° around C to form the image A', then the measure must be 90°.

AC = A'C

As we already defined, the distance between the rotated point and the center of rotation is invariant, then the distance between A and C must be the same as the distance between A' and C.

Answer:

AC = A'C

A' lies on a circle centered at point C with radius AC

m∠ACA' = 90°

Step-by-step explanation:

When we rotate a point A, around point C, the distance between the points is invariant.

This means that if A' es the image of the rotated point, then A' must lie in a circle centered in C with radius AC.

As we already defined, the distance between the rotated point and the center of rotation is invariant, then the distance between A and C must be the same as the distance between A' and C.

After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 6 minutes per day. How many weeks will it be before you are up to jogging 60 minutes per day?

Answers

Answer:

8 weeks

Step-by-step explanation:

1. Write out the equation

12+6x=60

2. Subtract 12 from both sides

6x = 48

isolate the variable (divide 6 on both sides)

x= 8

The heights of women aged 20 to 29 are approximately Normal with mean 64.3 inches and standard deviation 2.7 inches. Men the same age have mean height 69.9 inches with a standard deviation 3.1 inches. Describe in lay terms what information the z scores give that the original nonstandardized heights do not.

Answers

Answer:

In a lay term; The z-score gives us information concerning how many percentages of data lie between the given data interval. The z-score gives us an overview of the distance from the mean a data point is. In addition to that, it measures the degree of standard deviations below or above the population mean a raw score. We can place a z-score on a normal distribution curve.

Step-by-step explanation:

Given that:

Height of woman between age 20 -29 are approximately normal with:

population mean = 64.3 inches &;

standard deviation = 2.7

For men:

population mean = 69.9 inches

Standard deviation = 3.1 inches

In a lay term; The z-score gives us information concerning how many percentages of data lie between the given data interval. The z-score gives us an overview of the distance from the mean a data point is. In addition to that, it measures the degree of standard deviations below or above the population mean a raw score. We can place a z-score on a normal distribution curve.

This is hard I’d love help

Answers

Your answer is number 3 .)
1/8

TIME REMAINING
54:32
Tom would like to take out a secured loan to help pay for a vacation this summer. He has offered his car as collateral.
His car is worth $3,500. His bank can offer loans for 80% of collateral value. The vacation he has planned will cost
$4,750. Approximately how much additional collateral will Tom need to offer in order to borrow enough to go on his
vacation as planned?
$1,000.00
b. $1,362.50
c. $2,437.50
d. $2,800.00
a.
Please select the best answer from the choices provided
A
B.
ОООО
D

Answers

Tom will need to offer additional collateral of C. $2,437.50 to borrow enough for his planned vacation.

What is collateral?

Collateral refers to a valued property or financial security offered by the borrower to the lender to guarantee repayment of a loan.

Lenders sell collaterals when the borrowers fail to comply with their loan terms.

How is the additional collateral determined?

Car's value = $3,500

Collateral value in percentage = 80%

Car's collateral value = $2,800 ($3,500 x 80%)

Planned cost of vacation = $4,750

Additional cost to meet vacation cost = $1,950 ($4,750 - $2,800)

Additional collateral value to meet target = $2,437.50 ($1,950/80%)

Total collateral that Tom needs to offer = $5,937.50 ($3,500 + $2,437.50)

80% of $5,937.50 = $4,750

Another way is to work with the planned cost and the collateral percentage offered by Tom's bank:

Planned cost of vacation = $4,750

Collateral value in percentage = 80%

Total collateral to be offered by Tom = $5,937.50 ($4,750/80%)

Car's collateral value = $3,500

Additional collateral value = $2,437.50 ($5,937.50 - $3,500)

Thus, Tom needs additional collateral of C. $2,437.50.

Learn more about collateral at https://brainly.com/question/11665626

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A personnel manager has found that, historically, the scores on aptitude tests given to applicants for entry-level positions follow a normal distribution with standard deviation 21.73 points. A random sample of 14 test scores from the current group of applicants had a mean score of 74.57 points. Based on these sample results, a statistician found for the population mean a confidence interval extending from 65.7425 to 83.3975 points. Find the confidence level of this interval. Round off your answer to two decimal places.

Answers

Answer:

The value is [tex]C = 85\%[/tex]

Step-by-step explanation:

From the question we are told that

  The standard deviation is  [tex]\sigma = 21.73[/tex]

  The sample size is  n  =  14

  The mean score is  [tex]\= x = 74.57[/tex]

  The confidence interval is  65.7425 to 83.3975

Generally the degree of freedom is mathematically represented as

      [tex]df = n -1[/tex]

=>  [tex]df = 14 -1[/tex]

=>  [tex]df = 13[/tex]

Generally the margin of error is mathematically evaluated as

     [tex]E = \frac{83.3975 -65.7425 }{2}[/tex]

=> [tex]E = 8.828[/tex]

Generally this margin of error is mathematically represented as

     [tex]E = t_{\frac{\alpha }{2} , df} * \frac{\sigma }{\sqrt{n} }[/tex]

=>   [tex]8.828 = t_{\frac{\alpha }{2} , df} * \frac{21.73 }{\sqrt{14} }[/tex]

=>   [tex]t_{\frac{\alpha }{2} , df} = 1.520[/tex]

From the t distribution table the probability of   [tex]( t> 1.520 )[/tex]  at a degree of freedom of 13  is  

     [tex]\frac{\alpha }{2} = P( t > 1.52 ) = 0.076[/tex]

=>  [tex]\alpha = 2 * 0.076[/tex]

=>  [tex]\alpha = 1.52[/tex]

So the confidence level is evaluated as  

     [tex]C = 1- \alpha[/tex]

=>  [tex]C = 1- 0.152[/tex]

=>  [tex]C = 0.85[/tex]

Converting to percentage

=>  [tex]C = 0.85 * 100[/tex]

=>  [tex]C = 85\%[/tex]

A farmer is looking at his tractor at the other end of his field. Assume the field is mapped onto the coordinate plane as shown in the graph. What is the exact distance from the farmer to his tractor?
Question 5 options:

A)

units

B)

units

C)

units

D)

units

Answers

The answer might be B

The distance of the farmer to the tractor would be gotten by subtracting the coordinate of the farmer from that of the point of the tractor.

What is distance?

The definition of distance in mathematics is the shortest space that lies between two different points.

Given that the points that the farmer and the tractor are standing on are unspecified, the distance would be point of farmer subtracted from that of the tractor.

Read more on distance here: https://brainly.com/question/17273444

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3(4x - 6) - 2x + 1 = 3 - (3x - 6)?

Answers

12x -18 - 2x +1 = 3 -3x + 6

10x - 17 = -3x + 9

13x = 26

x = 2

I hope this helps

x-3=1/2x
find x
please help

Answers

Answer:

x=6

Step-by-step explanation:

2x-6=x

2x-x=6

x(2-1)=6

x=6

Answer: x=6

Step-by-step explanation:

simplify 1 over 2x to x over 2. multiply both sides by 2. subtract 2x from both sides. simplify x minus 2x to negative x. multiply both sides by -1. switch sides.

Math is hard.

Whats 9 + 10 = ????

Answers

Answer:

19

Step-by-step explanation:

im jumping off a bridge

Answer:

the answer in 19

Step-by-step explanation:

use Ur brain

A company plans to sell a new type of vacuum cleaner for $280 each. The company’s financial planner estimates that the cost, y, of manufacturing the vacuum cleaners is a quadratic function with a y-intercept of 11,000 and a vertex of (500, 24,000). Which system of equations can be used to determine how many vacuums must be sold for the company to make a profit?


StartLayout Enlarged Left-Brace 1st Row y = 280 x 2nd Row y = negative 0.052 (x minus 500) squared + 24,000 EndLayout


StartLayout Enlarged Left-Brace 1st Row y = 280 x 2nd Row y = 0.052 x squared + 11,000 EndLayout


StartLayout Enlarged Left-Brace 1st Row y = 280 x 2nd Row y = 0.052 (x minus 500) squared + 24,000 EndLayout


StartLayout Enlarged Left-Brace 1st Row y = 280 x 2nd Row y = negative 0.052 (x minus 500) squared + 11,000 EndLayout

Answers

Answer:

StartLayout Enlarged Left-Brace 1st Row y = 280 x 2nd Row y = negative 0.052 (x minus 500) squared + 24,000 EndLayout

Step-by-step explanation:

Given that:

Cost per cleaner = $280

The cost of x vacuum cleaners will be :

Cost per cleaner * number of cleaners

$280 * x

= $280x

The general vertex firm equation :

y-k = a(x-h)^2

Vertex = (500, 24000) ; Vertex = (h, k)

h = 500 ; k =24000 y= 11000, x = 0

y intercept = 11000

Plugging the values :

11000 - 24000 = a(0 - 500)^2

- 13000 = a(-500)^2

-13000 = a * 250000

a = - 13000 / 250000

a = - 0.052

Hence,

y - 24000 = a(0 - 500)^2

y = - 0.052(0 - 500)^2 + 24000

Answer:

A on edge

Step-by-step explanation:

i took the test

which equation matches this graph?

Answers

You forgot to add the photo of the graph but here are some equations I hope help:

Slope: y2 - y1
-———
X2 - X1

Y = MX + B

Y - Y1 = m ( X - X1)

M=slope
B=y-intercept
X=input
Y=output
F(x)= y

If (    y+6=3/4(x+4)     ) is your equation then A is your answer

The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. Find the length and width of the rectangle. Find the width of the rectangle. Type a numerical answer in the space provided.

Answers

Answer:

w mean widh

Step-by-step explanation:

p=2l+2w

given w+4 2+w p= 34

34 =2w+4 + 2 w

w=24

26

_ 6.5

4

L w+4 =6.5 +4 =10.5

Which line is parallel to the line y = 2x + 7 and passes through the point (1, 4)? *
2 points
(y - 4) = 2(x - 1)
(y - 4) = 7(x - 1)
(y + 4) = 2(x + 1)
(y + 4) = 7(x + 1)

Answers

Answer:y-4=2(x-1)

Step-by-step explanation:

It has the same slope as the y=2x+7, making it parallel, and crosses the point (1,4)

Which decimal is the best best estimate of the fraction 29/40
A. 0.5

B. 0.6

C. 0.7

D. 0.8

Answers

Answer:

C

Step-by-step explanation:

I hope this helps!!!!

The best estimate of the fraction 29/40 would be; 0.7

How can we interpret the division?

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

We need to find the decimal that best best estimate of the fraction 29/40

A negative divided by a negative is positive, then;

29/40 = 0.72

Therefore, The best estimate of the fraction 29/40 would be; 0.7

Learn more about division here:

brainly.com/question/26411682

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How can you solve an equation with a variable on both sides? Complete the explanation.
You can solve the equation by using ____ operations to get the variable terms on one side of the equal sign and the constant terms on the ____ side. Then ____ both sides by the
coefficient of the resulting variable term.

Answers

Answer:

order of operations, right?, divide

Step-by-step explanation:

sorry if this is wrong :)

Determine the values of m, a, p, q and r.

Answers

Answer:

m= 68 degrees

a=  68 degrees

p= 68 degrees

q= 112 degrees

r= 68 degrees

Step-by-step explanation:

Hope this helps, if so mark me brainliest???


17. The sum of three consecutive integers is three times the second integer.
Show that this is true for the three consecutive integers 7, 8, and 9.
I
twork being lat
Set up an equation that models this statement.
Show, by solving the equation, that this equation will always be true for any three consecutive integers.

Answers

Answer:

By using Carl Gauss's clever formula, (n / 2)(first number + last number) = sum, where n is the number of integers, we learned how to add consecutive numbers quickly. We now know that the sum of the pairs in consecutive numbers starting with the first and last numbers is equal.

Step-by-step explanation:

Answer:

Step-by-step explanation:

7+8+9=24.

8 is the second integer and 8*3=24.

7.53333333333 as a fraction

Answers

Answer:

Step-by-step explanation:

Step by step

Step 1 of 2: Convert decimal to fraction.

Convert decimal to fraction

Step 2 of 2: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

1 is the greatest common divisor of 753 and 100. The result can't be further reduced.

Step 2 of 2:  Convert improper fraction to mixed number.

Convert improper fraction to mixed number

753 ÷ 100 = 7 remainder 53

If you get a couch later then hit a and d then you can get it.

factor 49x^2-7^2
and please explain how

Answers

Answer:

[tex]49x^2-7^2=49(x-1)(x+1)[/tex]

Step-by-step explanation:

Factoring

We need to recall this property of binomials:

[tex](a-b)(a+b)= a^2-b^2[/tex]

It allows us to factor the difference between two squares as follows.

[tex]a^2-b^2=(a-b)(a+b)[/tex]

The given expression is

[tex]49x^2-7^2[/tex]

Comparing with the above expression:

[tex]a^2=49x^2[/tex]

Taking square root:

[tex]a = 7x[/tex]

[tex]b^2=7^2[/tex]

Taking square root:

b=7

Factoring:

[tex]49x^2-7^2=(7x-7)(7x+7)[/tex]

Now we can see each factor can be taken out the common factor 7:

[tex]49x^2-7^2=7(x-1)*7(x+1)[/tex]

Multiplying:

[tex]\boxed{49x^2-7^2=49(x-1)(x+1)}[/tex]

Who started with the greatest initial value of Halloween candy? Jeremy, Josh, Rachel, or Lydia?

Answers

Answer: Rachael Ray.

Step-by-step explanation: Have a blessed day hopefully this helped!

can someone help me plz ​

Answers

Hope this helps:) let me know if you need anymore help

28 PLEASE GIVE BRAINLIEST

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