which expression is equivalent to 45+27

a.) 9(5x3)
b.) 9(5+3)
c.) (9x5)x(9x3)
d.) (9+5)x(9+3)

Answer:

D

Step-by-step explanation:

Given

- 4x² - 5(x + 3) + x² ← distribute the parenthesis by - 5

= - 4x² - 5x - 15 + x² ← collect like terms

= - 3x² - 5x - 15

Answer:

40

Step-by-step explanation:

80% of the test = 32 questions

100% of the test = x questions

Cross multiply

80*x = 100 * 32   Combine the right

80x = 3200         Divide by 80

x = 3200/80

x = 40

There are 40 questions on the test.

Answer:

53q+10

Step-by-step explanation:

(-3q+3)+7(8q+1)

-3q+3+56q+7

53q+3+7

53q+10

Answer:

[tex] - 3q + 3 + 56q + 7 \\ 53q + 10[/tex]

Good luck!

Intelligent Muslim,

From Uzbekistan.

100 children tickets and 200 adult tickets were sold.

Step-by-step explanation:

Given,

Cost of one student ticket = $4

Cost of one adult ticket = $6

Total sales = $1600

Number of tickets sold = 300

Let,

x represent the number of children tickets sold.

y represent the number of adult tickets sold.

According to given statement;

x+y=300      Eqn 1

4x+6y=1600   Eqn 2

Multiplying Eqn 1 by 4

[tex]4(x+y=300)\\4x+4y=1200\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](4x+6y)-(4x+4y)=1600-1200\\4x+6y-4x-4y=400\\2y=400[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{400}{2}\\y=200[/tex]

Putting y=200 in Eqn 1

[tex]x+200=300\\x=300-200\\x=100[/tex]

100 children tickets and 200 adult tickets were sold.

Keywords: linear equation, elimination method

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Answer:

B

Step-by-step explanation:

To find [tex]y=f(g(x))[/tex], substitute the value of [tex]g(x)[/tex] into the the function f(x) instead of x.

Consider option B:

Given

[tex]f(x)=\dfrac{7}{\sqrt{x}}\\ \\g(x)=8x+10[/tex]

So,

[tex]f(g(x))\\ \\=f(8x+10)\ [\text{Expression } 8x+10\text{ has a role of }x]\\ \\=\dfrac{7}{\sqrt{8x+10}}[/tex]

This is exactly what you need as answer.

Answer:

2 years are the 18.2% of 11 years.

Step-by-step explanation:

For calculating what percentage of 11 years is 2 years, we have to do the following calculations:

Fraction used to represent the question = 2/11

Now, we divide 2 by 11, where 2 is the dividend and 11 the divisor:

2/11 = 0.1818....

Converting 0.1818 to percentage:

0.1818 * 100 = 18.2% (Rounding to the nearest tenth)

2 years are the 18.2% of 11 years.

Answer:

Explanation:

1. Using the minimun number of sheets  of paper in the interval [300, 400]

a) Cost: $ 2.00 / 100 sheets

b) 300 sheets / day × $ 2.00 / 100 sheets = $ 6.00 / day

c) Approimately 20 school days per month:

2. Using the maximum number of sheets of paper in the interval [300, 400]

a) Cost: $ 2.00 / 100 sheets

b) 400 sheets / day × $ 2.00 / 100 sheets = $ 8.00 / day

c) Approimately 20 school days per month:

3. Middle value:

Calculate the middle value between $160.00 and $120.00

Thus, the answer is the option A.

Answer:

AC = 12 units.

Step-by-step explanation:

Δ ACD is right-angled. ( as CD ⊥ AB).

cos 45° = CD / AC = 6√2 / AC

AC = 6√2 / cos 45°

AC = 6√2 / 1 /√2

= 6√2 *√2

= 6 * 2

= 12   (answer)

HOPE THIS HELPED ;3

Answer:

Step-by-step explanation:

midpoint theorem : (mx₂+nx₁/m+n , my₂+ny₁/m+n)

(-3, k) = ( -3*-2 + k*-5/-3+k  , -3*3 + k*-4/-3+k)

(-3, k) = (6-5k/-3+k , -9-4k/-3+k)

Compare x values of  both side ;

-3 = 6-5k/-3+k

-3 *( -3+k) = 6-5k

-3*-3 +k *-3 = 6-5k

9 -3k = 6- 5k

5k -3k = 6 - 9

2k = -3

k= -3/2

Answer:

$896.70

Step-by-step explanation:

Amount( A) Devi earned can be calculated from the formula below

[tex]A =P ({ 1 + \frac{r}{m} })^{mt}[/tex]

Where,

P= principal=$750

r=rate=6%=0.06

m=compounding frequency=4

t=time=3yrs

[tex]A =750 ({ 1 + \frac{0.06}{4} })^{(4 \times 3)}[/tex]

[tex]A =750 ({ 1 + 0.015)}^{12}[/tex]

[tex]A =750 \times ({ 1.015)}^{12}[/tex]

[tex]A =750 \times 1.1956[/tex]

[tex]A = 896.70[/tex]

Answer:

135

885-750 is 135 on financial literacy

Answer:

C

Step-by-step explanation:

The ratio of frames : containers can be calculated using values from table.

3 : 12 = 7 : 28 = 9 : 36 = 1 : 4 ← in simplest form, thus

Number of containers is 4 times the number of frames

Thus for 5 picture frames the number of containers = 5 × 4 = 20 → C

Answer:

yes

Step-by-step explanation:

Answer:

1/3 simplified or 33/100

Step-by-step explanation:

33% is around one third of 100%. Aka, you multiply 33(.33)% by 3 to get 100% or you can leave it as 33/100.

The team moved the ball -3 yards per play.

Step-by-step explanation:

Given,

Total yards lost = 12 yards

Total plays = 4 plays

As the yards are lost, therefore, we will use negative sign.

Yards per play = [tex]\frac{Number\ of\ yards}{Number\ of\ plays}[/tex]

Yards per play = [tex]\frac{-12}{4}[/tex]

Yards per play = -3

The team moved the ball -3 yards per play.

Keywords: division, unit rate

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A function is a relationship between inputs where each input is related to exactly one output.

The coordinates of the table are: (22, 26), (20, 22), (16, 20), (14, 18),

(10, 14).

The graph of the coordinates formed from the table must show a linear graph.

This means a straight line.

The graph is shown below and it is not a straight line.

The function represented in the table is not linear.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

A function is represented by the values in the table.

x      y

22   26

20   22

16    20

14     18

10     14

Now,

We can find the coordinates of the given function.

(22, 26)

(20, 22)

(16, 20)

(14, 18)

(10, 14)

The graph of these coordinates must show a linear graph.

This means a straight line.

The graph is shown below and it is not a straight line.

Thus,

The function represented in the table is not linear.

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Answer:

64

Step-by-step explanation:

First, you divide 416 by 65. This gets you 6.4. But it's not 1 in 65 eating pizza, it's 10 out of 65, so then you multiply 6.4 by 10, getting 64.

Answer:

a) There are Total 25 Question on the test.

    Each question is worth 4 points.

b) Your friend answered 19 questions correctly.

Step-by-step explanation:

Given:

Question answered =24

Percent earn = 96%

Total point test = 100

We will first solve for part a.

We need to find Total Question on the test and Points worth each question.

Now We know that percent earn is equal to Question answered divided by Total Question on test and ten multiplied by 100.

Framing in equation form we get;

[tex]Percent\ earn = \frac{\textrm{Question Answered}}{\textrm{Total question on test}}\times 100\\ \\\textrm{Total question on test} = \frac{\textrm{Question Answered}}{\textrm{Perecent earned}}\times 100[/tex]

Substituting the given values we get;

Total question on test = [tex]\frac{24}{96}\times 100 =25[/tex]

Hence There are Total 25 Question on the test.

Now we will find each question worth points.

each question worth points can calculated by dividing Total Point test with total number of question on the test.

Framing the equation we get;

each question worth points = [tex]\frac{100}{25} = 4\ points[/tex]

Hence Each question is worth 4 points.

Now Solving for part b.

Given:

Percent earn by friend = 76%

we need to find number of question answered correctly.

question answered correctly = [tex]\frac{\textrm{Percent earned by friend}\times \textrm{Total Number of question}} {100}[/tex]

Substituting the values we get;

question answered correctly = [tex]\frac{76\times 25}{100} = 19[/tex]

Hence Your friend answered 19 questions correctly.

Answer:

a) There are Total 25 Question on the test.

   Each question is worth 4 points.

b) Your friend answered 19 questions correctly

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 1/2 minutes = 4.5 minutes

2 / 4.5 = 0.44 laps per minute

OR

4.5 / 2 = 2.25 minutes per lap

not sure which one ur looking for...but both are unit rates

The unit rate of Jordan's swimming speed is approximately 0.44 laps per minute. This is calculated by dividing the number of laps (2) by the total time (4.5 minutes).

To identify the unit rate in this scenario, we first need to understand what we are finding. The unit rate means how much of something is done in one unit of time, in this case, how many laps Jordan can swim in one minute. Since Jordan can swim two laps in 4 1/2 minutes, we want to find out how many laps he can swim in one minute. We divide the total laps (2) by the total time (4.5). This will compute to approximately 0.44. Hence, Jordan can swim around 0.44 laps in one minute.

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Answer: 37%

Step-by-step explanation:

Initial Population                                        = 100,000

 Population after 5 years                            = 137,000

Population increase                                    = 137,000 - 100,000

                                                                     = 37,000

Therefore % increase                                  = 37,000/100,000 x 100

                                                                     = 37%

The length of the rectangle, given a perimeter of 120 cm and a width of 20 cm, is 40 cm.

This question pertains to the calculation of the dimensions of a rectangle given its perimeter and one side. In a rectangle, the perimeter is given by the formula 2(Length + Width). In this case, the perimeter is 120 cm, and the width is 20 cm. We can set up the following equation based on the given information: 120 = 2(Length + 20). After simplifying, we get 120 = 2*Length + 40, which leads to 2*Length = 120 - 40 or 2*Length = 80. Finally, solving for Length gives Length = 80 / 2 = 40 cm. Therefore, the length of the rectangle is 40 cm.

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Answer:

(-∞,∞) or {y|y∈R}

Step-by-step explanation:

Answers:

b) [tex]x(25x-1)[/tex]

c) [tex]x^{2}-4(x-3)[/tex]

d)[tex]4x(x-5)+25[/tex]

e)[tex]2(3x^{2}+11x+14)[/tex]

Step-by-step explanation:

b) We have the following expression:

[tex]25x^{2}-x[/tex]

Applying common factor [tex]x[/tex]:

[tex]x(25x-1)[/tex]

c) We have the following expression:

[tex]x^{2}-4x+12[/tex]

Applying common factor [tex]4[/tex]:

[tex]x^{2}-4(x-3)[/tex]

d)We have the following expression:

[tex]4x^{2}-20x+25[/tex]

Applying common factor [tex]4x[/tex]:

[tex]4x(x-5)+25[/tex]

e)We have the following expression:

[tex]6x^{2}+22x+28[/tex]

Applying common factor [tex]2[/tex]:

[tex]2(3x^{2}+11x+14)[/tex]

Answer:

17 rafts are needed for 136 people.

Step-by-step explanation:

Given:

Total number of people waiting for river raft ride = ?

Number of people the raft holds = 8

To Find:

The number of rafts needed =?

Solution:

Let X be the total number rafts needed to accommodate  all the 136 people waiting for the River Raft ride.

So now X will be

X= [tex]\frac{\text{Total number of people}}{\text{number of people a raft can hold}}[/tex]

X= [tex]\frac{136}{8}[/tex]

X = 17

Answer:

5×5

Step-by-step explanation:

the factorazation is 5×5

Final answer:

The number with a prime factorization of 2 x 5 x 5 is 50, which is obtained by multiplying 2 by 5 squared (2 x 25).

Explanation:

The student asked which of the following numbers has a prime factorization of 2 x 5 x 5. The prime factorization given can also be written as 2 x 52, since 5 x 5 equals 52 or 25. Therefore, we are looking for a number that is the product of 2 and 25.

By multiplying 2 by 25, we find that the correct answer is 2 x 25 = 50. Thus, the number that has a prime factorization of 2 x 5 x 5 is 50.

Answer:

The sum of the two numbers is 15

Step-by-step explanation:

Let the counting numbers be x and y.

Then we can write the following equations

x=4y.......1 (one is four times greater )

x(y)=36.....2 (the product of the two)

Putting equation 1 into equation 2, we get

4y(y)=36

[tex] {4y}^{2} = 36 [/tex]

Dividing through by 4,we get

[tex] {y}^{2} = \frac{36}{4} [/tex]

[tex] {y}^{2} = 9[/tex]

Taking square root of both side, we obtain

y=3

Putting the value of y into equation , we get

x=4(3)=12

Hence the numbers are 3 and 12

Therefore the sum of the two numbers is 3+12=15

One counting number is 4 times greater as the other counting number. The product of the two numbers is 36. The sum of the two numbers is 15.

Let's assume the smaller counting number as X. According to the question, one counting number is 4 times greater than the other, so the larger counting number is 4X. The product of the two numbers is 36, so we can set up an equation: X * 4X = 36. Simplifying, we get 4X^2 = 36. Divide both sides by 4 to get X^2 = 9. Taking the square root of both sides, we find X = 3. Therefore, the two numbers are 3 and 4 times 3 which is 12. The sum of these two numbers is 3 + 12 = 15.

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Answer:

$206.4

Step-by-step explanation:

8.6*24=206.4

Answer:

Step-by-step explanation:

Exponential functions have the form

f(x) = bx, where b > 0 and b ≠ 1. Just as in any exponential expression, b is called the base and x is called the exponent.

Answer:

Exponential functions have the form

Step-by-step explanation:

Answer:

x = 1 is not part of the domain

Step-by-step explanation:

The denominator of g(x) cannot be zero as this would make g(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve

x - 1 = 0 ⇒ x = 1 ← restricted value

The number x = 1 is not part of the domain of the function g(x) = (x+2)/(x-1) because setting x to 1 would result in division by zero, which is undefined. Thus, x = 1 is an asymptotic value and is excluded from the domain.

The number that is not part of the domain of the function g(x) = \frac{x+2}{x-1} is x = 1. Knowing that the domain of a function includes all the values that x can take on for which the function is defined, we can identify values that are not in the domain by looking for any values that would cause the function to be undefined. In the case of g(x), since it involves a division by x-1, we need to make sure that the denominator does not equal zero since division by zero is undefined in mathematics.

To find out when the denominator is zero, we set x-1 = 0 and solve for x. The solution is x = 1, which means that x cannot be 1, since it would make the function undefined. Therefore, x = 1 is not part of the domain of g(x).

As described in FIGURE 4.4 from OpenStax under a CC BY 4.0 license, functions like y = \frac{1}{x} have asymptotes or limits that indicate values that are not part of the domain. g(x) has a similar characteristic, where x = 1 is an asymptote.

Samantha measured [tex]13\frac{1}{8}[/tex] inches for the entire month

Step-by-step explanation:

Samantha is measuring the snowfall in a snow Gog for her science project

We need to find how much snowfall Samantha measured for the entire month

∵ She measured [tex]3\frac{3}{4}[/tex] inches of snow in the 1st week

- Change the mixed number to improper fraction

∵ [tex]3\frac{3}{4}=\frac{(3)(4)+3}{4}=\frac{12+3}{4}=\frac{15}{4}[/tex]

∴ She measured [tex]\frac{15}{4}[/tex] inches of snow in the 1st week

∵ She measured twice as much snow as the 1st week in the 2nd week

- Multiply the value of the 1st week by 2

∵ [tex]\frac{15}{4}[/tex] × 2 =  [tex]\frac{30}{4}[/tex]

∴ She measured [tex]\frac{30}{4}[/tex] inches of snow in the 2nd week

∵ She measured half as much snow as the 1st week in the 3rd week

- Multiply the value of the 1st week by 1/2

∵ [tex]\frac{15}{4}[/tex] × [tex]\frac{1}{2}[/tex] =  [tex]\frac{15}{8}[/tex]

∴ She measured [tex]\frac{15}{8}[/tex] inches of snow in the 3rd week

∵ It did not snow at all in the fourth week

- Add the values of the three weeks above to find the amount

  of snowfall she measured for the entire month

∵ The amount of snowfall = [tex]\frac{15}{4}+\frac{30}{4}+\frac{15}{8}[/tex]

- To add the fraction you must make all the denominator same number

  so multiply the 1st and 2nd fractions by 2 up and down to make all

  the denominator equal 8

∴ The amount of snowfall = [tex]\frac{30}{8}+\frac{60}{8}+\frac{15}{8}[/tex]

- Add the numerators and put the sum over 8

∴ The amount of snowfall = [tex]\frac{105}{8}[/tex]

- You can change the improper fraction to mixed number by divide

  105 by 8 and put the reminder over 8

∵ 105 ÷ 8 = 13 and 1/8

∴ The amount of the snowfall = [tex]13\frac{1}{8}[/tex] inches

Samantha measured [tex]13\frac{1}{8}[/tex] inches for the entire month

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Answer:

It's 6 units

Step-by-step explanation:

i took the test