Sole this equation:
2x-15=43

Answer:

9 people is 9/4 = 2.25 times more people than 4 people. So, they can do it faster. 3 hours/2.25 = 1.33 hours 1.33 hours x 60 minutes/hour = 80 minutes

Step-by-step explanation:

Answer: 1 hour 20 minutes

Step-by-step explanation:

Let's figure out how long it would take 1 person to dig the hole and then divide that number by 9 (since they are sharing the workload).

[tex]\dfrac{1}{4}x=3\qquad \implies \qquad x = 12\quad \text{It takes 12 hours for 1 person}\\\\\\\dfrac{12\ \text{(for 1 person)}}{9\ \text{(people)}}\quad =1\dfrac{1}{3}\quad =\large\boxed{1\ hour\ 20\ minutes}[/tex]

A

41 is not divisible by any number other than 1 and itself so it is prime and not composite and obviously 41 is a whole number so BCD are eliminated

Answer:

A. 41 is a prime number.

Step-by-step explanation:

Since we know that 8x5= 40 and 8x6= 48, it is not a prime number.

And even if you divide any number by 41, you won't get a whole number answer. So that is why 41 is a prime number.

Answer: x = 2

Step-by-step explanation:

9 - 4x + 7 x = 15

             3x = 15-9

             3x = 6

               x = 2

Answer:

±10

Step-by-step explanation:

so what squared is 100?

10. but also -10.

10*10 = 100, and -10*-10 is also 100.

therefore, sqrt(100) has two solutions, which are positive or negative 10, and that's the application of ±.

Answer:

10

Step-by-step explanation:

Factor the number: 100 = [tex]10^{2}[/tex]

=[tex]\sqrt{10^2}[/tex]

Apply radical rule: [tex]\sqrt[n]{a^n} =a[/tex]

[tex]\sqrt{10^2} =10[/tex]

=10

i think its b

Step-by-step explanation:

Answer:

1.  45, 51

2. 40, 52

3. -64, 128

4. 63.5, 63.75

Step-by-step explanation:

1. It is adding 6 each time.

2. It adds 2, then 4, then 6, each time adding an extra 2 units. (another way to explain is, the original term, 2, that they add is multiplied by 2 each time)

3. It multiplies by -2 each time.

4. It adds 16, then 8, then 4, dividing the term that is added by 2 each time.

Attention:

I didn't do the bottom half of the homework, I will leave that for someone else to get the points. I hope this helps you. :)

Answer:

c -5.2 tell me if you need the explanation

Step-by-step explanation:

Answer:

all work is pictured/shown

Answer:

100 % - 65% = 35%

this means that 63.00 is 35% the original price

cross multiply:

$63 35%

$x 100%

100 * 63 = 6300

------------ ---------- = $180

35 35

original price $180

The original price, 100% of an item at the store is $180.00.

A percentage is a number or ratio that can be expressed as a fraction of 100. Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

For the given situation,

Amount paid by Joyce = $63.00

Consider the original price be 100%

65 percent off the original price = [tex]100 - 65[/tex]

⇒ [tex]35[/tex]

So, 35% of an item is $63.00

The original price 100% can be calculated as

⇒ [tex]\frac{63(100)}{35}[/tex]

⇒ [tex]\frac{63100}{35}[/tex]

⇒ [tex]180[/tex]

Hence we can conclude that the the original price, 100% of an item at the store is $180.00.

Learn more about percentages here

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The three zeros in the product of 6 and 10^3 arise from the properties of multiplication and exponents; 10^3 results in 1000, which when multiplied by 6, gives 6000, featuring three zeros.

The reason there are three zeros in the product of 6 and 10^3 is due to the properties of multiplication and exponents. In exponentiation, 10^3 means multiplying 10 by itself three times, which gives the result of 1000. When you multiply 6 by 1000 (the result of 10^3), it gives 6000, which has three zeros. The number of zeros in the product corresponds to the power of 10 in the original expression.

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Answer:

Part 1) [tex]f(2)=1[/tex]

Part 2) [tex]f^{-1}(1)=2[/tex]

part 3) [tex]f^{-1}(f(2))=2[/tex]

Step-by-step explanation:

we have that

[tex]f(x)=\frac{1}{2}x[/tex]

[tex]f^{-1}(x)=2x[/tex]

Part 1) Find f(2)

For x=2

substitute the value of x in f(x)

[tex]f(2)=\frac{1}{2}(2)[/tex]

[tex]f(2)=1[/tex]

Part 2) find [tex]f^{-1}(1)[/tex]

For x=1

Substitute the value of x in [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(1)=2(1)[/tex]

[tex]f^{-1}(1)=2[/tex]

Part 3) Find [tex]f^{-1}(f(2))[/tex]

we know that

[tex]f(2)=1[/tex] -----> see part 1)

so

[tex]f^{-1}(f(2))=f^{-1}(1)[/tex]

we have that

[tex]f^{-1}(1)=2[/tex] -----> see part 2)

therefore

[tex]f^{-1}(f(2))=2[/tex]

Answer:

f(2) = 1

f−1(1) = 2

f−1(f(2)) = 2

Step-by-step explanation:

just did it egen2020

Answer:

x+4=0

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Both points y is -2 so the answer is

the line y = -2.

Answer:  the correct option is

(c) y = -2.

Step-by-step explanation:  We are given to find the equation of a line that contains the points (2, -2) and (0, -2).

We know that

the slope of a line containing the points (a, b) and (c, d) is given by

[tex]m=\dfrac{d-b}{c-a}.[/tex]

So, the slope of the given line is

[tex]m=\dfrac{-2-(-2)}{0-2}=\dfrac{0}{-2}=0.[/tex]

Since the line has a point (2, -2) on it, so its equation will be

[tex]y-(-2)=m(x-2)\\\\\Rightarrow y+2=0(x-2)\\\\\Rightarrow y+2=0\\\\\Rightarrow y=-2.[/tex]

Thus, the required equation of the line is [tex]y=-2.[/tex]

Option (c) is CORRECT.

Answer:

Slope of the given line=-5

Slope of the perpendicular line=1/5 [reciprocal with opposite sign]

Required equation is (y+4)=1/5(x+5)

5y+20=x+5

x-5y=15

Without using slope

Equation of the given line is 5x+y=3

Equation of the perpendicular line is x-5y=k [interchange the coefficient of x and y

and put opposite sign for y and equating the equation to k]

This line passes through (-5,-4)

-5+20=k therefore k=15

The required equation is x-5y=15

Answer:

36

Step-by-step explanation:

12 x 3 = 36

Answer: OPTION C.

Step-by-step explanation:

The volume of a cube can be calculated with the following formula:

[tex]V=s^3[/tex]

Where "s" is the length of each edge of the cube.

Solving for "s":

[tex]s=\sqrt[3]{V}[/tex]

Let's check each option to find which volume would work according to the size she needs:

A. Substitute [tex]V=216in^3[/tex] into [tex]s=\sqrt[3]{V}[/tex], then:

[tex]s=\sqrt[3]{216in^3}=6in[/tex]

B. Substitute [tex]V=125in^3[/tex] into [tex]s=\sqrt[3]{V}[/tex], then:

[tex]s=\sqrt[3]{125in^3}=5in[/tex]

C. Substitute [tex]V=64in^3[/tex] into [tex]s=\sqrt[3]{V}[/tex], then:

[tex]s=\sqrt[3]{64in^3}=4in[/tex]

Based on these results, we can determine that the cubes with a volume of [tex]64in^3[/tex] would work.

Answer:

GH = 96

Step-by-step explanation:

Since G is at the midpoint of RH then RG = SH and

GH = 7x - 23

Thus

RG + GH = RH ← substitute values

7x - 23 + 7x - 23 = 6x + 90

14x - 46 = 6x + 90 ( subtract 6x from both sides )

8x - 46 = 90 ( add 46 to both sides )

8x = 136 ( divide both sides by 8 )

x = 17

Hence

GH = 7x - 23 = (7 × 17) - 23 = 119 - 23 = 96

Answer:

96

Step-by-step explanation:

Drawing a picture helps to think this problem through. 2(7x-23)=6x+90 by midpoint theorem. Solve this equation.

14x-46=6x+90

8x=136

x=17

Substitute x in the equation for RG. 7(17)-23.

7x17=119

119-23=96

Answer:

See explanation

Step-by-step explanation:

Let x be the number of minutes Charlene uses her phone per month and $y be the charge (in dollars) for x minutes of usage the phone.

A. Cell Plus gives unlimited minutes for $50/month. This paln doesn't depend on time, so

[tex]y=50[/tex]

A1 Cell offers a $40 monthly fee, plus $0.05/min for any time over 300 min per month, then

[tex]y=40+0.05(x-300)\\ \\y=40+0.05x-15\\ \\y=25+0.05x[/tex]

B. Attached diagram shows the graphs of these two functions.

C. The point of intersection is (500,50) and it represents the number of minutes x=500 when to plans have the same charges.

D. 10 hours = 600 minutes.

Cell plus charge = $50

A1 Cell charge [tex]=25+0.05\cdot 600=\$55[/tex]

Charlene has to choose Cell plus plan in this case.

6 hours = 360 minutes

Cell plus charge = $50

A1 Cell charge [tex]=25+0.05\cdot 360=\$43[/tex]

Charlene has to choose A1 Cell plan in this case.

Final answer:

To finish reading 1 million pages while reading 1000 pages a month, it would take the student 1000 months.

Explanation:

To calculate how long it would take to finish reading 1 million pages, we need to find the number of months required. Since the student reads 1000 pages a month, we can set up a proportion:

1000 pages / 1 month = 1 million pages / x months

Cross-multiplying gives:

1000x = 1 million

Dividing both sides by 1000:

x = 1000 months

Therefore, it would take the student 1000 months to finish reading 1 million pages.

Answer:

decrease = 26.04

increase = 29.96

Step-by-step explanation:

Decrease of £28.00 by 7% = £28 -(7% of 28)

                                             = £28 - (0.07 × 28)

                                             = £28 - 1.96

                                             = £26.04

Increase of £28 by 7% = £28 +(7% of 28)

                                      = £28 +(0.7 × 28)

                                      = $28 + 1.96

                                      = £29.96

Decrease £28 by 7% would be £26.04

and increase £28 by 7% would be £29.96

Answer: 5.9

Step-by-step explanation: You want to round up so since the 7 is greater than 5 you move the second digit up. So 5.9

~ Hope this somewhat helps. You welcome. (:

Answer:

w = 2 or w = -2

Step-by-step explanation:

-9|w| = -18

divide by -9 on both sides

w = 2 negative 2 works also

Answer:

1/(x + 1)

Step-by-step explanation:

1/(x² + 3)

x = √(x - 2)

1/((√(x - 2))² + 3

1/(x - 2 + 3)

1/(x + 1)

Answer: 7000

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

6(24/4)+2

6(6)+2

6*8

48

Answer: A

Step-by-step explanation: You know multiplying will be involved, so B can automatically be removed. It states that the length is 8 cm longer. You know absolutely nothing about the width, so the variable of w can be given for the width. You also know the length will be 8 cm longer, of w+8. w and w+8 will be multiplied, which gives you w(w+8).

Answer:

w(w+8)=48

Step-by-step explanation:

Answer:

The answer would be 43 because 62.25-18.92=43.34 therefore it would be rounded down the nearest whole number

Answer:

A

Step-by-step explanation:

First round both numbers to the nearest whole number which would be 62-19. Now calculate. The answer is 43