The length of a rectangle is 2 inches more than its width. The perimeter of the rectangle is 24 inches. The equation 2x + 2(x + 2) = 24, where x is the width in inches, represents this situation. The value of x from the set {1, 3, 5, 7} that holds true for the equation is . So, the width of the rectangle is inches and its length is inches.

Answers

Answer 1

Answer:

Width is 5 and length is 7

Step-by-step explanation:

You can solve the equation using the distributive property and inverse operations.

2x +2(x+2)=24

2x + 2x + 4 = 24

4x + 4 = 24

4x = 20

X = 5

This means the width is 5 and the length is 7.

Answer 2
Final answer:

The width of the rectangle is 5 inches and its length is 7 inches.

Explanation:

The given equation 2x + 2(x + 2) = 24 represents the situation with a rectangle's length being 2 inches more than its width and the perimeter of the rectangle being 24 inches. To find the value of x from the set {1, 3, 5, 7} that holds true for the equation, we can substitute each value into the equation and solve for x. By trying each value, we find that x = 5 holds true for the equation.

Therefore, the width of the rectangle is 5 inches and since the length is 2 inches more than the width, the length would be 7 inches.


Related Questions

What is the answer?! Please hurry!

Answers

3(x^2 + 1) + 2

So the last option

Just drew an isosceles triangle. One side of the triangle was 5 inches long. The other side of the triangle was 8inches long

Answers

Answer:

13

Step-by-step explanation:

If you said one side was 5 inches long anf the other side was 8 add thoes up u get 13

2 (b - 4) > -6 I NEED HELP ASAPPPPPPP

Answers

ANSWER

b>1

EXPLANATION

The given inequality is;

2 (b - 4) > -6

Expand the parenthesis to get,

2b-8>-6

2b>-6+8

Simplify the right hand side.

2b>2

Divide both sides by:

b>1

plz help me brainliest to whoever answers first.

Answers

Answer:

This is a Question from an Iready test!

Step-by-step explanation:

Translate the sentence into an equation.

Nine more than the product of a number and 6 is equal to 4.

use the variable w for the unknown number. ​

Answers

Answer: 6w+9=4 and w=-5/6

6w+9=4 now solve for w

6w+9-9=4-9

6w=-5

w=-5/6

Putting back into equation to check our answer;

6(-5/6)+9=4

-5+9=4

4=4 correct, our answer checks out.

Any questions please just ask. Cheers

The equation of the translated sentence Nine more than the product of a number and 6 is equal to 4 is 6w + 9 = 4.

What is a numerical expression ?

A numerical expression can be formed from statements it is represented i the form of numbers and their operations.

According to the given sequence Nine more than the product of a number and 6 is equal to 4 we have to convert it in numerical form.

Let the number be w.

∴ 6w + 9 = 4

6w = 4 - 9

6w = -5

w = -5/6.

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A team has won 15 of 27 games that it has played what fraction of games have they won?A team has won 15 of the 27 games that he has played what fraction of games have they won?

Answers

15/27 but if you want to simplify it it’s 5/9

Study the table below. Label the table as proportional or non-proportional. Explain your reasoning.

Answers

Answer:

Proportional

Step-by-step explanation:

If the function is proportional, it will have the following relationship:

f(x) = kx

Let's look at the first one:

-14 = -7k

k = 2

Now let's see if k=2 is true for the rest:

0 = 2(0) True

10 = 2(5) True

16 = 2(8) True

f(x) = 2x.  So this is indeed proportional.

The total number, n, of employees at a company depends on the company's yearly gross profits according to the equation n=10p+20, where p is the yearly gross profit in millions of dollars. If the yearly gross profit declined from 20 million dollars to 15 million dollars, what was the decrease in the number of employees?

Answers

Answer:

50

Step-by-step explanation:

In the expression [tex]n=10p+20,[/tex] p represents the yearly gross profit in millions of dollars and n represents the total number of employees.

When the yearly gross profit was 20 million dollars, then the number of employees was

[tex]n=10\cdot 20+20=200+20=220.[/tex]

When the yearly gross profit was 15 million dollars, then the number of employees was

[tex]n=10\cdot 15+20=150+20=170.[/tex]

Hence, the decrease in the number of employees is

[tex]220-170=50.[/tex]

Find the volume of a cylinder with base area 196 cm2 and a height equal to the diameter


Answers

Hello!

The answer is:

The volume of the cylinder is equal to:

[tex]Volume=3096.8cm^{3}[/tex]

Why?

To find the volume of the cylinder, first, we need to use the equation to calculate its area to find its diameter, and then, calculate its volume since we know that the height of the cylinder is equal to its diameter.

So,  using the  equation to calculate the area of its base, we have:

[tex]BaseArea=\pi *r^{2}\\\\r=\sqrt{\frac{BaseArea}{\pi } }=\sqrt{\frac{196cm^{2} }{\pi }}\\\\r=\sqrt{\frac{196cm^{2} }{\pi }}=\sqrt{62.4cm^{2}}=7.9cm[/tex]

Therefore, we have that the radius of the cylinder is equal to 7.9 cm, it means that its diameter is equal to:

[tex]diameter=2*radius=7.9cm*2=15.8cm[/tex]

Now that we know the diameter, let's calcule the volume of the cylinder:

[tex]Volume=BaseArea*height=BaseArea*Diameter\\\\Volume=196cm^{2}*15.8cm=3096.8cm^{3}[/tex]

Hence, we have that the volume of the cylinder is equal to:

[tex]Volume=3096.8cm^{3}[/tex]

Have a nice day!

Final answer:

The volume of a cylinder with a base area of 196 cm² and a height equal to the diameter is approximately 2145.74 cm³.

Explanation:

To find the volume of a cylinder with a given base area and a height equal to the diameter, you can use the formula V = πr²h, where π is Pi (approximately 3.14159), r is the radius of the cylinder, and h is the height of the cylinder. The base area of the cylinder (A) is given as 196 cm², which is also equal to πr². Given that the height is equal to the diameter, we can express the height as 2r.

First, you need to solve for the radius (r) using the base area:

A = πr² → r = √(A/π) = √(196 / 3.14159) ≈ 7 cm

Now plug this value into the volume formula:

V = πr²h = π * (7 cm)² * (2 * 7 cm) = π * 49 cm² * 14 cm

Finally, calculate the volume:

V ≈ 3.14159 * 49 cm² * 14 cm ≈ 2145.74 cm³

The volume of the cylinder is approximately 2145.74 cm³.

12.2 surface area backside

Answers

Answer:

SA = 250 pi

SA = 785 in^2

Step-by-step explanation:

Givens

d = 10

h = 20

r = d/2

Formula

r = d/2

r = 10/2

r = 5

SA = 2*pi*r^2 + pi*d*h

Solution

SA = 2 * pi * 5^2 + pi * 10 * 20

SA = 2 * 25 *pi  + pi * 200

SA = 50 pi + 200 pi

SA = 250*pi

This is one answer.

The second is 250 * 3.14

SA = 785 in^2

Michael hikes 1/4 of a mile every 1/6 of a hour. How far will he hike in 2 hours

Answers

To determine how far Michael will hike in 2 hours, we calculate his hiking rate which is 1.5 miles per hour and then multiply by the total time, resulting in a distance of 3 miles hiked in 2 hours.

To find out how far Michael will hike in 2 hours, we need to set up a proportion based on the information that he hikes 1/4 of a mile every 1/6 of an hour. First, we find the rate at which Michael hikes by dividing the distance by the time:

Rate = 1/4 mile / 1/6 hour = (1/4) * (6/1) = 6/4 = 1.5 miles per hour.

Now, to find out how far he will hike in 2 hours, we simply multiply the rate by the total time:

Distance in 2 hours = 1.5 miles/hour * 2 hours = 3 miles.

Therefore, Michael will hike 3 miles in 2 hours.

which expression is equivalent to the one below? 5^x

Answers (multiple choice)
A. 5*5^(x-1)
B. 15^x/3
C. 15^x/3^x
D. (15/3)^x
E. 5*5^(x+1)
F. x^5

Answers

Answer:

A, B and D.

Step-by-step explanation:

A:  because 5* 5^(x-1) = 5^(x - 1 + 1) = 5^x.

B. 15^x / 3 = 5^x

D. (15/3)^x = 5^x.

( Note C = 5 , E = 5^(x+2) and x^5 not = 5^x.)

Final answer:

The equivalent expressions to 5^x are 5*5^(x-1), 15^x/3^x, and (15/3)^x. These follow the rules of adding exponents when multiplying with the same base and raising an entire factor to a power.

Explanation:

The student has asked which expression is equivalent to 5x. To find expressions equivalent to exponents, we use rules such as the product of powers, which states that when multiplying expressions that have the same base, we can add their exponents (e.g., 5a  imes 5b = 5a+b). Similarly, to raise an exponential factor to a power, we multiply the exponent by the power.

Looking at the given options:

Option A: 5  imes 5x-1 can also be written as 51  imes 5x-1 which simplifies to 5x after adding the exponents (1 + (x-1) = x).Option B: 15x/3 is incorrect because when simplified, it does not have the base of 5.Option C: 15x/3x breaks down to (15/3)x and simplifies to 5x.Option D: (15/3)x simplifies directly to 5x.Option E: 5  imes 5x+1 results in a power greater than x for the base 5, thus is not equivalent.Option F: x5 is not equivalent as the base and the exponent are switched compared to the original expression.

Therefore, the correct answers are options A, C, and D, each demonstrating different properties of exponents.

2. A new car is for lease for $419 per month with a
down payment of $738. What is the cost for 36
months for this vehicle?
$15,084
$1,157
$41,652
$26,987
$15,822​

Answers

$15,822 is the correct answer, you multiply 36 by $419 and add the down payment of $738

$15,822. first you multiply $419 x 36 to get 15,084. then you add the down payment

Find the product and simplify your answer. 3k(-k2-8k+5)​

Answers

Answer:

[tex]-3k^3 - 24k^2 + 15k[/tex]

Step-by-step explanation:

In this question we need to solve the equation

[tex]3k(-k^2-8k+5)[/tex]

For solving it, we need to multiply 3k with each number inside the bracket and find the results.

In finding products, we add the power having same bases and coefficients are multiplied.

[tex]3k(-k^2-8k+5)\\=3k(-k^2) +3k(-8k) +3k(5)\\= -3k^3 - 24k^2 + 15k[/tex]

There are 70000 bacteria present in a culture. An anabiotic is introduced to the culture and the number of bacteria is reduced by half every four hours. Which of the following statements are true? Select all that apply.

Answers

Answer:ddd

lol

Step-by-step explanation:

What is the Area of this triangle when x=10 inches? Hint: Area= 1/2bh

Answers

height(h) = 7x

base(b) = 4x

Since you know the value of x, you can plug it in

h = 7(10) = 70in

b = 4(10) = 40in

[tex]A = \frac{1}{2}bh[/tex]

[tex]A=\frac{1}{2} (40)(70)[/tex]

[tex]A=\frac{1}{2} (2800)[/tex]

A = 1400in²

Jasmine is painting a rectangular wall in her bedroom that has a base of 12 feet and a height of 8 feet. There is a square window on the wall with a side length of 3 feet. She has enough paint to cover 90 square feet. Does she have enough paint? Explain your reasoning.

pls help (there are NO options)

Answers

Answer:

Yes, she has enough paint, since she does not need to paint the window. The area that needs to be painted is only 87 ft², and she has enough paint for 90 ft².

Step-by-step explanation:

Area of the wall (including window)

= 12 x 8

= 96 ft²

Area of the window

= 3 x 3

= 9 ft²

Area of the wall that needs to be covered with paint

= 96 - 9

= 87 ft²

Answer:

Yes, she has enough paint. The area to be painted is the area of the wall minus the area of the window. A = (12)(8) = 96; A = (3)(3) = 9; area to be painted: 96 – 9 = 87 square feet.

Find the equation in the form y=mx+b that models line (2,3) and (0,4)

Answers

Answer:

y = (-1/2)x + 4

Step-by-step explanation:

Moving from (0, 4) to (2, 3), we see x increasing by 2 from 0 to 2 and y decreasing by 1 from 4 to 3.

Thus, the slope of this line is m = rise / run = -1/2.

Starting with y = mx + b, we substitute 0 for x, 4 for y and -1/2 for b, obtaining:

4 = (-1/2)(0) + b.  Therefore, b = 4, and the desired equation is:

y = (-1/2)x + 4

What is the answer to all the q's
******WILL GIVE BRAINLIST******

Answers

Answer:

1. F

2. T

3. T

4. T

Step-by-step explanation:

Let's break down the definitions.

Quadrilateral - A polygon with 4 sides

Square - A quadrilateral with 4 equal sides and 90 degree angles

Rectangle - A quadrilateral with 4 sides with opposite sides that are congruent and have 90 degree angles

Parallelogram - A quadrilateral with 4 sides with opposite sides that are congruent and do not have 90 degree angles

Rhombus - A quadrilateral with 4 equal sides but does not have 90 degree angles

Now let's look at the questions.

Does every 4 sided figure have equal sides? - No

Is a rectangle with 4 equal sides a square? - Yes

Is every parallelogram with 4 equal sides a parallelogram? - Yes

Is every 4 equal sided figure a figure with opposite sides that are equal? - Yes

Question 1 - False, rectangle is not a square if it has a different length or width

Question 2 - True, square can also be a rectangle as long as there are four congruent sides

Question 3 - True, rhombus is a parallelogram

Question 4 - True, square can be also known as a rectangle

Which invention allowed computers to be smaller?

Answers

Answer:

laptop/phone

As the computer advanced, transistors were invented. They were smaller and allowed the computers to become smaller than ever. Slowly, the size of the computers decreased as more and more pieces were invented.

Step-by-step explanation:

The invention of transistors allowed computers to be smaller.

What is a computer?

A computer is a device that accepts information (in the form of digitalized data) and manipulates it to some result based on a program, software, or sequence of instructions on how the data is to be processed.

The invention of transistors or the computer chips made computers to work smarter than previously.

These computers also were more efficient and more reliable than the computers of the first generation.

The transistor replaced the cumbersome vacuum tube in televisions, radios and computers.

Hence, the invention of transistors allowed computers to be smaller.

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d) What is the measure of ∠H? Explain. (1 point)


Answers

Answer:

105 degrees

Step-by-step explanation:

The measure of angle H from the given figure is 67.5 degree.

What is vertical angle theorem?

Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.

Given that measure of angle F is 67.5°

The angles formed when two lines cross each other are known as vertical angles. Vertically opposite angles are the opposing angles created by these lines.

In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines.

From the given figure,

∠F=∠H (Vertically opposite angles are equal)

Angle F= Angle H=67.5°

So, angle H is 67.5 degree

Therefore, the measure of angle H is 67.5 degree.

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"Your question is incomplete, probably the complete question/missing part is:"

The stop sign is a regular octagon, so the measure of ∠F must be 67.5°. What is the angle measure for ∠H?

You used a 35% off coupon and purchased a skateboard for $55.25. What was the original price of the skateboard? *

Answers

Final answer:

To find the original price of a discounted item, divide the price paid by the percentage paid, in decimal form. In this case, $55.25 divided by 0.65 gives $85, which is the original price of the skateboard.

Explanation:

If a skateboard was purchased for $55.25 with a 35% off coupon, then that price represents 65% of the original price (100% - 35% = 65%).

To find the original price, you would take the price paid and divide it by the percentage you paid, in decimal form. In this case, that's 0.65 (65%).

So, the calculation would be $55.25 ÷ 0.65 which gives you approximately $85. This means the original price was $85.

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Eli,Freda and geoff where given £800 to share in the ratio of there ages
Eli is 9 years old
Freda is 13 year's old
And Geoff is 18 year's old
How much will they get each

Answers

Answer:

see explanation

Step-by-step explanation:

The ratio received = 9 : 13 : 18

Sum the parts of the ratio 9 + 13 + 18 = 40

Divide the amount by 40 to find the value of one part of the ratio

[tex]\frac{800}{40}[/tex] = £20 ← value of 1 part of ratio

Eli gets 9 × £20 = £180

Freda gets 13 × £20 = £260

Geoff gets 18 × £20 = £360

Final answer:

To divide £800 between Eli, Freda and Geoff based on their ages, we need to find the ratio of their ages and divide the total amount by this ratio. Eli will get £180, Freda will get £260, and Geoff will get £360.

Explanation:

To find out how much each person will get, we need to divide the total amount of money by the sum of their ages in the given ratio.

The sum of their ages is 9 + 13 + 18 = 40.

The ratio is 9:13:18.

To divide £800 according to this ratio, we can first find the total number of parts in the ratio by adding the ratios together: 9 + 13 + 18 = 40. Then we can find the value of each part by dividing the total amount of money by the sum of the ratios: £800 / 40 = £20. Finally, we can find how much each person will get by multiplying their age in the ratio by the value of each part. Eli gets 9 parts: 9 * £20 = £180. Freda gets 13 parts: 13 * £20 = £260. Geoff gets 18 parts: 18 * £20 = £360.

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I need help on solving this, thank you

Answers

Answer:

Monday:

40 minutes

Tuesday:

80 minutes

Wednesday:

60 minutes

Step-by-step explanation:

x + 2x + (1/2)(x + 2x) = 180

4.5x = 180

x = 40 minutes

Find the mean median and interquartile for the data set below

17,23,8,5,9,16,22,11,13,15,17,18

Answers

mean: 14.5

median: 15.5

innerquartile: 17.5

Answer:

mean = 14.5 ; median = 15.5 ; interquartile = 7.5

Step-by-step explanation:

Given : 17,23,8,5,9,16,22,11,13,15,17,18.

To find : Find the mean median and interquartile for the data set .

Solution : We have given 17,23,8,5,9,16,22,11,13,15,17,18.

First we arrange in ascending order 5 , 8 ,9 ,11, 13, 15, 16 , 17, 17,18, 22, 23,

Mean : [tex]\frac{Sum\ of\ all\ number}{total\ number}[/tex].

Mean :  [tex]\frac{5+8+9 +11 +13+ 15+16+17+17+18+ 22+23,}{12}[/tex].

Mean : 14.5

Median : Average of middle two numbers

Median :  [tex]\frac{15 + 16}{2}[/tex].

Median :  [tex]\frac{31}{2}[/tex].

Median : 15 .5

Interquartile  : median of lower half  - median of upper half.

Interquartile  : [tex]\frac{17 +18}{2}[/tex]  - [tex]\frac{9 + 11}{2}[/tex].

Interquartile  :  17.5 - 10= 7.5

Therefore, mean = 14.5 ; median = 15.5 ; interquartile = 7.5

How to find 2 irrational no.s between 2016 and 2017

Answers

You can find two irrational numbers [tex]r,s[/tex] between 0 and 1.

Then, you'll have

[tex]2016 < 2016+r < 2017,\quad 2016 < 2016+s < 2017[/tex]

And both [tex]2016+r[/tex] and [tex]2016+s[/tex] will be irrational, because they are the sum of a rational number (2016) and an irrational number (r or s).

Finally, in order to find two such numbers, you can start with any irrational number, and scale it down until it lies between 0 and 1.

For example, you can start from [tex]\sqrt{2}\approx 1.4142[/tex] and divide it by any integer greater than 2, say that we choose

[tex]r = \dfrac{\sqrt{2}}{7}[/tex]

[tex]s = \dfrac{\sqrt{2}}{4}[/tex]

So, the two irrational numbers between 2016 and 2017 are

[tex]2016 + \dfrac{\sqrt{2}}{7},\quad 2016 + \dfrac{\sqrt{2}}{4}[/tex]

Final answer:

Two irrational numbers between 2016 and 2017 can be found by adding non-repeating, non-terminating decimals to 2016. Examples include 2016.172 and 2016.399.

Explanation:

Finding irrational numbers between two given numbers involves knowing that irrational numbers are those which cannot be expressed as a quotient of two integers and have non-repeating, non-terminating decimal expansions. Examples of irrational numbers include the square root of non-perfect squares, pi (π), and 'e' (the base of natural logarithms).

Between two such close numbers (like 2016 and 2017), an easy way to find irrational numbers is to add a non-repeating, non-terminating decimal to the smaller number. For instance, let's use 0.172 and 0.399 (which are derived from the reference numbers provided) and add these to 2016:

2016 + 0.172 = 2016.1722016 + 0.399 = 2016.399

Both 2016.172 and 2016.399 are irrational numbers that lie between 2016 and 2017.

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Let f(x)=x^4-3x^3+5x use synthetic substitution to find f(-2)

Answers

Answer:

f(-2) = 30

Step-by-step explanation:

[tex]f(x)=x^4-3x^3+5x=1x^4-3x^3+0x^2+5x+0[/tex]

The Remainder Theorem states that when we divide a polynomial f(x)

by x − a the remainder R equals f(a).

a = -2

Syntetic substitution.

1. Write only the coefficients of x in the dividend inside an upside-down division symbol.

[tex]\underline{\begin{array}{c|ccccccc}\ &1&-3&0&5&0\\\ \end{array}}[/tex]

2. Put the divisor at the left.

[tex]\underline{\begin{array}{c|ccccccc}-2&1&-3&0&5&0\\\ \end{array}}[/tex]

3. Drop the first coefficient of the dividend below the division symbol.

[tex]\underline{\begin{array}{c|ccccccc}-2&1&-3&0&5&0\\\ \end{array}}\\\begin{array}{ccccccccc}\ \ \ \ &1\end{array}[/tex]

4. Multiply the drop-down by the divisor, and put the result in the next column.

[tex]\underline{\begin{array}{c|ccccccc}-2&1&-3&0&5&0\\\ &&-2\end{array}}\\\begin{array}{ccccccccc}\ \ \ \ &1\end{array}[/tex]

5. Add down the column.

[tex]\underline{\begin{array}{c|ccccccc}-2&1&-3&0&5&0\\\ &&-2\end{array}}\\\begin{array}{ccccccccc}\ \ \ \ &1&-5\end{array}[/tex]

6. Repeat 4 and 5 until you can go no farther

[tex]\underline{\begin{array}{c|ccccccc}-2&1&-3&0&5&0\\\ &&-2&10&-20&30\end{array}}\\\begin{array}{ccccccccc}\ \ \ \ &1&-5&10&-15&30\end{array}[/tex]

The remainder is 30, so f(-2) = 30.

Check:

[tex]f(x)=x^4-3x^3+5x\\\\f(-2)=(-2)^4-3(-2)^3+5(-2)=16-3(-8)-10=16+24-10=30[/tex]

A farmer sells carrots and squash. A customer buys 1 pound of carrots and 1.5 ponds of squash for $7.00. Another customer buys 4.5 pounds of carrots and 1.75 pounds of squash for $14.00. Enter the price in dollars for 1 pound of carrots

Answers

Answer:

$1.75

Step-by-step explanation:

1 pound of carrot and 1.5 pounds of squash cost $7.00.

1c + 1.5s = 7 ----------------- [ 1 ]

4.5 pounds of carrot and 1.75 pound of squash cost $14.00.

4.5c + 1.75s = 14 ----------------- [ 2 ]

[ 1 ] x 4.5:

4.5c + 6.75s = 31.5 ----------------- [ 1a ]

[1a] - [2]:

5s = 17.5

s = $3.50

Sub s = 3.5 into [ 1 ]:

1c + 1.5 (3.5)  = 7

1c + 5.25 = 7

1c = $1.75

Final answer:

By setting up and solving a system of linear equations based on the purchases made by two customers, we calculated the price of carrots to be $2.00 per pound.

Explanation:

To determine the price per pound for carrots, we can set up a system of linear equations based on the provided information and solve it. Let 'c' represent the cost per pound of carrots and 's' represent the cost per pound of squash.

Equation 1: c + 1.5s = $7.00 from the first customer's purchase.Equation 2: 4.5c + 1.75s = $14.00 from the second customer's purchase.

Multiplying Equation 1 by 3 gives us:

3c + 4.5s = $21.00

Now, let's subtract Equation 2 from this new equation to eliminate 's' and solve for 'c'.

3c + 4.5s - (4.5c + 1.75s) = $21.00 - $14.00-1.5c + 2.75s = $7.00-1.5c = $7.00 - 2.75sSince 4.5c + 1.75s = $14.00, let's solve for 's'.1.75s = $14.00 - 4.5cs = ($14.00 - 4.5c) / 1.75Now we replace 's' in the -1.5c term:-1.5c = $7.00 - 2.75(($14.00 - 4.5c) / 1.75)-1.5c = $7.00 - (2.75 × $8.00) / 1.75 + (2.75 × 4.5c) / 1.75-1.5c + (2.75 × 4.5c) / 1.75 = $7.00 - $8.00c(4.5 × 2.75 / 1.75 - 1.5) = -$1.00c = -$1.00 / (4.5 × 2.75 / 1.75 - 1.5)Calculate the right side to find the price per pound for carrots.

After calculating, we find that c = $2.00 per pound for carrots.

Solve for r. 7/10 = r - (-8/5)

Answers

The answer would -9/10

If you need the work just let me know!

Answer:

-9/10

Step-by-step explanation:

7/10 = r - (- 8/5)

7/10 = r + 8/5

r = 7/10 - 8/5

r = -9/10

simplify (4^3)^5
-
-
-
-
-


Answers

Answer:

[tex]\large\boxed{(4^3)^5=4^{15}}[/tex]

Step-by-step explanation:

[tex]\text{Use}\ (a^n)^m=a^{nm}\\\\(4^3)^5=4^{(3)(5)}=4^{15}[/tex]

Step-by-step explanation: Here we have the number  (4^3)^5.

We can use the relationship: [tex](x^{a} )^{b} = x^{a*b}[/tex]

so our number can be written as: [tex](4^{3}) ^{5} = 4^{3*5} = 4^{15}[/tex].

But you can simplify it further!

we know that [tex]4 = 2^{2}[/tex], then [tex]4^{15} = (2^{2}) ^{15} = 2^{2*15} = 2^{30}[/tex]

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