Ben just purchased a new shirt for $27.20 during a 15% off sale what was the original price of the shirt

Answer:10

Step-by-step explanation:

28-4-4=20

20÷2=10

10+10+4+4=28

Answer:

y=2x-6

Step-by-step explanation:

y-y1=m(x-x1)

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

y+4=2x-2

y=2x-2-4

y=2x-6

Answer:

x is divided by 3

Step-by-step explanation:

[tex](n-4)(n-6) = n^2-10n+24\\\\(a+5)(a-6) = a^2 -a-30\\\\(4b + 6)(b-4) = 4b^2 -10b-24[/tex]

Solution:

Multiplying polynomials:

Multiplying polynomials is same like multiplying numbers

First, multiply the first term in the first parentheses by all the terms in the second parentheses

Now we multiply the second term in the first parentheses by all terms in the second parentheses and add them to the previous terms

[tex]1)\ (n-4)(n-6)[/tex]

[tex](n-4) \times (n-6) = n^2 -6n -4n +24\\\\Simplify\\\\(n-4) \times (n-6) = n^2 -10n + 24[/tex]

Now let us multiply the second given option

[tex]2)\ (a+5)(a-6)[/tex]

Multiply them together

[tex](a+5)(a-6) = a^2 -6a + 5a - 30\\\\Simplify\ by\ combining\ the\ like\ terms\\\\(a+5)(a-6) = a^2 -a -30[/tex]

Now let us multiply the third given polynomial

[tex]3)\ (4b+6)(b-4)[/tex]

Multiply them together

[tex](4b+6)(b-4) = 4b^2 -16b + 6b - 24\\\\Simplify\ by\ combining\ the\ like\ terms\\\\(4b+6)(b-4) = 4b^2 -10b -24[/tex]

Thus the given polynomials are multiplied

The solution to the inequality 5x-3(x+1)<7 is x<5.

Step-by-step explanation:

Given inequality is;

5x-3(x+1)<7

Solving the inequality

[tex]5x-3x-3<7[/tex]

Adding 3 on both sides both sides of inequality  

[tex]5x-3x-3+3<7+3\\2x<10[/tex]

Dividing both sides of inequality by 2

[tex]\frac{2x}{2}<\frac{10}{2}\\\\x<5[/tex]

The solution to the inequality 5x-3(x+1)<7 is x<5.

Keywords: inequality, division

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Answer:

5 inches

Step-by-step explanation:

we know that

The scale drawing is

[tex]\frac{1}{4}\ in : 1\ ft[/tex]

using proportion find out the width of the great room on her plan

[tex]\frac{(1/4)}{1}\ \frac{in}{ft}=\frac{x}{20}\ \frac{in}{ft}\\\\x=20(1/4)\\\\x=5\ in[/tex]

Answer:

5 inches

Step-by-step explanation:

Hope this helped!!

Answer:

The answer is 70 if it's to whole number but if it's just rounding to the tenth spot it's 69.6

Step-by-step explanation:

It's 70 because if the tenth spot(the number after the decimal) is 5 or higher you add one on the one spot so that's why it's 70

Estimates are typically whole numbers.

To estimate an answer, you would take whatever numbers you are trying to add/subtract/multiply/divide ect. and round them to the nearest whole number then complete said action with them.  

Example: 3.99 + 33.85 + 31.74

3.99 is closest to 4

33.85 is closest to 34

and 31.74 is closest to 32

Then, we would add up all the numbers: 4 + 34 + 32 = 70

70 is very close to 69.58, therefore 70 is a good estimate.

Answer:

B 3*-3* -4/9

Step-by-step explanation:

Answer:

0.625

Step-by-step explanation:

0.625 * 8 = 5

Answer: 0.625

Step-by-step explanation: When doing 5 divided by 8, you get 0.625

Answer:

4/3

Step-by-step explanation:

2 2/3=8/3

(8/3)(1/2)=8/6=4/3

10 hours, none more, none less

Answer:

0.75

Step-by-step explanation:

Final answer:

To convert 75% to a decimal, divide 75 by 100 to get 0.75. This conversion is necessary to express the percent of free space on a computer in decimal form.

Explanation:

To convert the percent of free space on the computer to a decimal, you can follow these steps:

The decimal equivalent of 75% is 0.75. This means that 75% of the computer's storage capacity is free space.

Answer:

Step-by-step explanation:

To solve the question, apply BODMAS approach. that is solve the brackets, division, multiplication first before the addition and subtraction.

step 1: take the first bracket (4/7 + 8)

[tex]\frac{4}{7} + 8[/tex] is the same as (4/7)+ (8/1). The LCM is 7. multiply each term by the LCM and divide by the denominator.

[tex]\frac{4}{7} + 8[/tex] =  [tex]\frac{(4X1) + (8X7)}{7}[/tex] = [tex]\frac{4+56}{7}[/tex] = [tex]\frac{60}{7}[/tex]

step 2: consider the second bracket (3-(-4))

there is a sign multiplication in the terms. minus (-) x minus (-) = plus (+)

therefore the second bracket (3-(-4)) =  3 + 4 = 7

step 3: multiply both brackets.

(4/7 + 8) x (3-(-4)) = [tex]\frac{60}{7} X 7[/tex] = 60

The answer is 60

Answer:

The money each boy had after buying his ticket is $2.50.

Step-by-step explanation:

Given:

Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money and spent $7.50 on a ticket.

Now, to find the money each boy had after buying his ticket.

Let the money each boy had after buying his ticket be [tex]x.[/tex]

Total number of boys = 4.

Total money they had = $40.

Money each boy spent = $7.50.

Now, to write an equation:

[tex]4(x+7.50)=40[/tex]

Now, to solve the equation for getting the money each boy had after buying his ticket:

[tex]4(x+7.50)=40[/tex]

[tex]4x+30=40[/tex]

Subtracting both sides by 30 we get:

[tex]4x=10[/tex]

Dividing both sides by 4 we get:

[tex]x=\$2.50.[/tex]

Therefore, the money each boy had after buying his ticket is $2.50.

The equation that I think you are looking for is:

c = 8h + 6

Answer:

all work is pictured and shown

answer is b

Answer:

{x | x ≤ 2}

Step-by-step explanation:

Answer:

yes,in fact he can do it in just 4 minutes.

Step-by-step explanation:

number of words he can text per hour=1500

number of words he can text in a minute=1500÷60 (since there are 60 minutes in an hour,we are dividing 1500 by 60 to get the answer in minutes)

=25 words per minute

number of minutes he has=5.

now, we have to multiply the number of words he can type in a minute by the number of minutes he has,so 25×5=125.

he can type 125 words in 5 minutes.

Sao can text 25 words in a minute. Therefore, Sao can text a total of 125 words in 5 minutes. Thus, 85 words can be texted comfortably within this timeframe.

In this situation, we first need to determine how many words Sao can type in one minute. Since he can type 1500 words per hour, and there are 60 minutes in an hour, by dividing 1500 by 60, we determine that Sao can type 25 words per minute. Now, given that Sao has 5 minutes to type the message and he can type 25 words per minute, in 5 minutes, he should be able to type 125 words - 5 (minutes) * 25 (words). This means that if Sao has a message with 85 words, yes, he can complete the text in 5 minutes as 85 is less than 125.

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33°≤ t ≤ 35°

Step-by-step explanation:

The body temperature of a bee is given as 35°

When it sleeps, it drops by 2°

The sleeping temperature is therefore : 35°-2°=33°

The rage of body temperature is : 33°-35°

If t is  body temperature then the rage in body temperature is;

33°≤ t ≤ 35°

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Keywords : body, temperature, sleep,drop,range, variable

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Answer:

answer is 40z

Step-by-step explanation:

multiply the numbers and keep the variable the same

The missing coordinate r is 11.

Solution:

Given points are (–15, 1) and (–7, r).

[tex]x_{1}=-15, x_{2}=-7, y_{1}=1 \text { and } y_{2}=7[/tex]

Slope (m) = [tex]\frac{5}{4}[/tex]

To find the missing coordinate r:

Slope formula:

[tex]$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$[/tex]

Substitute the given values in the formula.

[tex]$\frac{5}{4}=\frac{r-1}{-7-(-15)}[/tex]

[tex]$\frac{5}{4}=\frac{r-1}{-7+15}[/tex]

[tex]$\frac{5}{4}=\frac{r-1}{8}[/tex]

Do cross multiplication.

[tex]8 \times 5=4(r-1)[/tex]

40 = 4r – 4

Add 4 on both side of the equation.

44 = 4r

Divide by 4 on both side of the equation.

11 = r

⇒ r = 11

Hence the missing coordinate r is 11.

Answer:

1 hour rate = 180 - 5 hour rate = 900

Step-by-step explanation:

To make the whole equation easy divide the number of people by the time.  

75 / 25 = 3

Now the number of people can be adjusted to any amount of time.  

For the hour rate multiply the number of people per minute by 60.

3 x 60 = 180

For the five hour rate use the same exact equation but multiply the 60 by 5 first.

3 ( 60 x 5 ) = 900

Hope this helped.

Answer:

See attachment and explanation

Step-by-step explanation:

Assuming f(x) and its g(x) are the graphs shown in the attachment.

Then we have the base function to be

[tex]f(x) = {10}^{x} [/tex]

We can see from the graph that, f(x) has been shifted up 3 units to obtain g(x).

Hence the equation of g(x) is

[tex]g(x) = {10}^{x} + 3[/tex]

Answer:

g(x) = 10^x – 3 is the answer

\

Step-by-step explanation:

Answer:

Answer is B

surface area for a cylinder : 2 (pi) r h + 2 (pi) r^2

r= 4

h= 12

2 (pi) x 4 x 12 + 2 (pi) × 4^2

= 402 .1

Answer:

it is B

Step-by-step explanation:

Answer:

Yes because 20 percent of anything, including 0, multiplied by 5 is 100 percent

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

it does work because 5x4= 20 and if you divide 20% by 5 you get 4. You can also do 20% Divided by 2 you get 100.

The required number would be 5/6 which subtracts from 35/6 to make 5.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

We have to determine the number which subtracts from 35/6 to make 5.

Let's assume that the required number would be x

As per the given question, the required solution would be as:

⇒ 35/6 - x = 5

Rearrange the terms in the above equation, and solve for x

⇒ x = 35/6 - 5

Take the LCM in the terms

⇒ x = (35 - 30)/6

Apply the subtraction operation in the terms

⇒ x = 5/6

Therefore, the required number would be 5/6.

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Answer:

177° C

Step-by-step explanation:

substitute F = 350 into the formula

C = [tex]\frac{5(350-32)}{9}[/tex] = [tex]\frac{5(318)}{9}[/tex] = [tex]\frac{1590}{9}[/tex] ≈ 177 ( to the nearest degree )

Answer:

no solution

Step-by-step explanation:

36-7x=-7(x-5)

first what we have to do is do the multiplications

36 - 7x = -7x + 35

we add 7x from both sides

36 - 7x + 7x = - 7x + 7x + 35

36 = 35

we subtract 36 from both sides

36 - 36 = 35 - 36

0 = -1

This means that the system has no solution

if we look at the equation at the beginning we can realize since we have the same term on both sides "-7x" and a term without x on each side, this means that we can never find a value of x that meets the conditions

Answer:

x =-2 or 0

Step-by-step explanation:

Factoring  7x2+3x-34

The first term is,  7x2  its coefficient is  7 .

The middle term is,  +3x  its coefficient is  3 .

The last term, "the constant", is  -34

Step-1 : Multiply the coefficient of the first term by the constant   7 • -34 = -238

Step-2 : Find two factors of  -238  whose sum equals the coefficient of the middle term, which is   3 .

     -238    +    1    =    -237

     -119    +    2    =    -117

     -34    +    7    =    -27

     -17    +    14    =    -3

     -14    +    17    =    3    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -14  and  17

                    7x2 - 14x + 17x - 34

Step-4 : Add up the first 2 terms, pulling out like factors :

                   7x • (x-2)

             Add up the last 2 terms, pulling out common factors :

                   17 • (x-2)

Step-5 : Add up the four terms of step 4 :

                   (7x+17)  •  (x-2)

            Which is the desired factorization

 (x - 2) • (7x + 17)  = 0

Answer:

 The standard deviation estimate by the Range Rule of Thumb = 18.3

Step-by-step explanation:

i) maximum = 96

ii) minimum = 23

iii) standard deviation [tex]\approx[/tex]  [tex]\frac{(maximum\hspace{0.1cm} - \hspace{0.1cm} minimum)}{4} = \frac{96 - 23}{4} = \frac{73}{4} = 18.25[/tex]

   The standard deviation estimate by the Range Rule of Thumb = 18.3