Karen had a roll of ribbon 48 1/2 metres long. How many pieces of ribbon of length 1 1/5m can she cut from the roll? How many metres of ribbon will be left?

Answer:

Length of AB=Length of A'B' because they are corresponding sides.

you should definetely mark me brainliest ;)

Answer: Length of AB = Length of A′B′

Step-by-step explanation:

Given : Figure ABCD is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure A′B′C′D′.

We know that a rotation is a rigid motion which does not changes shape and size of the figure.

It means the corresponding side lengths are equal.

Thus , if  Figure ABCD is rotated to form A′B′C′D′, then the corresponding sides of both of them are equal.

i.e. Length of AB = Length of A′B′

Length of BC = Length of B′C′

Length of CD = Length of C′D′

Length of DA = Length of D′A′

Hence, the statement best compares the lengths of the sides of the two figures :  Length of AB = Length of A′B′

Answer:

75 ft.³

Step-by-step explanation:

[tex] {a}^{2} \frac{h}{3} = V[/tex]

[tex][(5)^{2}] ( \frac{9}{3}) = (25)(3) = 75[/tex]

a → length\base edge

I am joyous to assist you anytime.

Answer:

75

V= lwh = 5×5×9 = 75

3 3

The volume of the pyramid is 75

Answer:

Try entering 2x+3=15 @ x=6 into the text box. After you enter the expression, Algebra Calculator will plug x=6 in for the equation 2x+3=15: 2(6)+3 = 15. The calculator prints "True" to let you know that the answer is right. More Examples Here are more examples of how to check your answers with Algebra Calculator. Feel free to try them now.

Step-by-step explanation:

"The value of the expression [tex]\( -4.2(0.35 - 3.5) \) is \( 13.404 \)[/tex].

To solve the expression, we follow the order of operations, which is to first evaluate the expression inside the parentheses and then multiply the result by [tex]\( -4.2 \).[/tex]

 First, we subtract [tex]\( 3.5 \)[/tex] from [tex]\( 0.35 \):[/tex]

[tex]\[ 0.35 - 3.5 = -3.15 \][/tex]

 Next, we multiply this result by [tex]\( -4.2 \)[/tex]:

[tex]\[ -4.2 \times -3.15 = 13.23 \][/tex]

 However, to be precise, we should calculate this with the exact decimal values without rounding until the final step. So, let's do the multiplication with more precision:

[tex]\[ -4.2 \times -3.15 = 13.23 \][/tex]

 Now, we can round the result to the nearest ten-thousandth, as the original numbers were given to the hundredth:

[tex]\[ 13.23 \approx 13.2300 \][/tex]

But, to match the precision of the original question, we should express the answer to the same decimal place as the given numbers, which is to the hundredth:

[tex]\[ 13.2300 \approx 13.23 \][/tex]

However, the provided answer is[tex]\( 13.404 \),[/tex] which suggests that there might have been an error in the rounding process or in the original calculation. Let's re-evaluate the multiplication with exact values:

[tex]\[ -4.2 \times -3.15 = 13.23 \][/tex]

To ensure we have the correct answer, we should not round until the final step:

[tex]\[ -4.2 \times -3.15 = 13.23 \][/tex]

 Now, rounding to the nearest hundredth:

[tex]\[ 13.23 \approx 13.23 \][/tex]

The correct answer, rounded to the nearest hundredth, is \( 13.23 \). However, if the original question or the provided answer requires more decimal places, we should calculate accordingly. Assuming the original values are exact, the precise answer calculated with more decimal places is:

[tex]\[ -4.2 \times -3.15 = 13.23 \][/tex]

 If we were to use a calculator or perform the multiplication with more precision, we would find:

[tex]\[ -4.2 \times -3.15 = 13.22999999999998 \][/tex]

 Rounding this to the nearest ten-thousandth, we get:

[tex]\[ 13.22999999999998 \approx 13.2300 \][/tex]

 And if we round to the nearest hundredth, we still get:

[tex]\[ 13.2300 \approx 13.23 \][/tex]

The correct final answer, rounded to the same precision as the given numbers in the question, is [tex]\[ \boxed{13.23} \][/tex]

Answer:

$2520

Step-by-step explanation:

18 times 20 = 360

360 time 7 = 2520

The total cost of the landscaping project for the backyard is found by multiplying the area of the backyard (360 square feet) by the cost per square foot ($7/square foot), which gives a total of $2520.

To find the cost of the landscaping project, we first need to calculate the area of the backyard. The area is found by multiplying the length and width of the space. So, the area of the backyard is 18 feet x 20 feet = 360 square feet.

Next, we know that the cost to re-landscape the yard is $7 per square foot. To find the total cost, we multiply the area of the yard by the cost per square foot. So, the total cost will be 360 square feet x $7/square foot = $2520.

Therefore, the total cost of the landscaping project for the backyard is $2520.

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Answer:

See below.

Step-by-step explanation:

If the number is even you divide by 2 , if  it is odd you try by the next prime number 3, the 5 and so on, so:

5. 36:-

36/ 2 = 18

18/2 = 9

9 / 3 = 3

We finish on the prime number 3.

So the prime factors are ( the numbers in bold ) = 2*2*3*3.

I'll do the next 3 for you, so you'll be able to do the rest on your own:

6. 180

180/ 2 = 90, 90 / 2 = 45, 45 /3 = 15, 15/3 = 5.

So 180 = 2*2*3*3*5.

7. 525

525/ 3 = 175, 175 / 5 = 35,  35 / 5 = 7.

So 525 = 3*5*5*7.

8. 165

165 / 3 = 55,  55/5 = 11.

So 165 = 3*5*11.

Step-by-step explanation:

[tex](7^2)^3=7^5\qquad\bold{FALSE}\\\\\text{because}\\\\7^2=7\cdot7\\\\(7^2)^3=(7\cdot7)^3=(7\cdot7)\cdot(7\cdot7)\cdot(7\cdot7)=\underbrace{7\cdot7\cdot7\cdot7\cdot7\cdot7}_6=7^6\\\\\text{or use}\ (a^n)^m=a^{nm}\\\\(7^2)^3=7^{2\cdot3}=7^6[/tex]

[7^(2)]^(3) = 7^(5)

This is not true.

The left side does not equal the right side.

Left side = 7^(6).

Right side = 7^(5).

False statement.

The fund is 4200 dollars interest at 4% per year and the other fund is 9800 dollars interest at 7% per year.

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

Remy has $14,000 to invest in two mutual funds.

Let the fund x dollars would be interest at 4% per year and

So the other fund is (14000 - x) dollars interest at 7% per year.

She invests in each fund if she wants to earn 6.1% interest on the total amount.

⇒ (4/100)x + (7/100)(14000 - x ) = (6.1/100)(14000)

⇒ 4x + 7(14000 - x ) = 6.1(14000)

⇒ 4x + 98000 - 7x = 85400

⇒ 3x = 12600

⇒ x = 12600/3

⇒ x = 4200

So the other fund = (14000 - 4200) = 9800

Hence, the fund is 4200 dollars interest at 4% per year and the other fund is 9800 dollars interest at 7% per year.

Learn more about the simple interest here:

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Answer: D

Step-by-step explanation: In order to have no solution, each side must have the same number of the variable. D works out to be 20+6x=6x+16

Answer: Last option.

Step-by-step explanation:

Observe the diagram.

The perimeter of the parallelogram will be the sum of the lenghts of its sides. Then:

[tex]P=WX+XY+YZ+WZ[/tex]

You know the lenght of the side WZ. This is:

[tex]WZ=\sqrt{26}\ units[/tex]

Notice that:

[tex]XY=WZ=\sqrt{26}\ units[/tex]

Now, you must find the lenghts of the sides WX and YZ ([tex]WX=YZ[/tex])

Observe that WZ goes from 2 to -2, therefore its lenght is:

[tex]WX=YZ=2-(-2)=4\ units[/tex]

Therefore, substituting values, you get that the perimeter of the paralellogram is:

[tex]P=(4+ \sqrt{26}+4+\sqrt{26})\ units\\\\P=2\sqrt{26} +8\ units[/tex]

Answer:

The correct answer is option D. :)

Step-by-step explanation:

I attached a ss below for proof :D

Hope this helped! Brainliest would be greatly appreciated :P

Answer:

The money invested into bond is $8000

The money invested into stocks is $17,000

Step-by-step explanation:

* Lets explain how to solve the problem

- Vartan wants to invest $25,000

- He wants to put some of the money into a bond that pays 4% annual

 interest and the rest into stocks that pay 9% annual interest

- He wants to earn 7.4% annual interest on the total amount

- We need to know how much money he should invest in each account

- Assume that he will put $x into the bond that pays 4% annual interest

- He will put the rest into stocks that pay 9%

- The rest = 25,000 - x

∴ The money earns = (4/100)(x) + (9/100)(25,000 - x)

∴ The money earns = 0.04 x + 2250 - 0.09 x

∴ The money earns = 2250 - 0.05 x ⇒ (1)

∵ He wants to earn 7.4% annual interest on the total amount

∵ Total amount is $25,000

∴ The money earns = (7.4/100)(25,000)

∴ The money earns = 1850 ⇒ (2)

- Equate (1) ans (2)

∴ 2250 - 0.05 x = 1850

- Add 0.05 x to both sides

∴ 2250 = 0.05 x + 1850

- Subtract 1850 from both sides

∴ 400 = 0.05 x

- Divide both sides by 0.05

∴ x = 8,000

∴ 25,000 - 8,000 = 17,000

∵ x represents the money invested into the bond

∵ 25,000 - x represents the money invested into the stocks

∴ The money invested into bond is $8000

∴ The money invested into stocks is $17,000

The amount in Kelly's account at the end of four years will be $887.63.

To calculate the amount in Kelly's account at the end of four years, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years. In this case, Kelly's principal amount is $750, the annual interest rate is 4.25%, and interest is compounded semi-annually, so n = 2. Plugging these values into the formula:

A = 750(1 + 0.0425/2)^(2*4)

A = 750(1 + 0.02125)^8

A = 750(1.02125)^8

A = 750(1.18350595645)

A = $887.63

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Answer:

n=4

Step-by-step explanation:

12 - 10n = -28

-12            -12

-10n = - 40

[tex]\frac{-10n}{-10} = \frac{-40}{-10}[/tex]

n = 4

The equivalent expressions 6 +(–x) + 2x + (–7) + 2x simplify to 3x – 1 as like terms are combined to get the final equivalent expression.

Explanation:

Expressions corresponding to 6 +(–x) + 2x + (–7) + 2x can be found by combining similar terms. Here are all the dates:

Plus six: negative +6X (or -1x): –x Twice x (or 2x): +2xNegative seven: –7Twice plus x: +2x

We can now combine similar terms:

x terms: –x + 2x + 2x = 3x

Constant conditions: +6 – 7 = –1

The equivalent expression is therefore:

3x-1

To check whether our answer makes sense, we ensure that all similar terms have been grouped together and no further simplifications are possible.

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Answer:

Mode is correct

Step-by-step explanation:

Just did the test

So say we have the number: 54,321

The 5 would be worth 50,000 meaning it's in the ten thousands place.

The 4 would be worth 4,000 meaning it's in the thousands place.

.

The difference between them is a zero, so the ten thousands place is 10 times bigger than the thousands place

.

Hope that helps :)

Answer:A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.

Step-by-step explanation:

What we know:

The convention center has 18 pianos.

Each piano has 88 piano keys.

How to solve:

To find out the total number of of piano keys, we need to multiply the number of pianos that are at the convention center by the number of piano keys that are on each pano.

Number of pianos → 18

Number of piano keys → 88

18 × 88 = 1,584

Therefore, there are 1,584 keys at the convention center.

Hey!

----------------------------------------------------------------

[tex]\boxed{ \bf 0.03~dollars~difference~per~ounce}[/tex]

----------------------------------------------------------------

Solution:

Brand A ~ 2.31 / 11 = $0.21 per ounce.

Brand B ~ 2.70 / 15 = $0.18 per ounce.

Difference ~ 0.21 - 0.18 = $0.03 per ounce.

----------------------------------------------------------------

Hope This Helped! Good Luck!

Answer:

$0.03

Step-by-step explanation:

Answer:

y-intercept (0,11/5)

x-intercept (11/2,0)

Step-by-step explanation:

The y-intercept is obtained when the x-coordinate equals 0 (x=0)

so the y-intercept is (0,11/5)

The x-intercept is obtained when the y-coordinate equals 0 (y=0)

In this case

0 = -(2/5)x+11/5---->(2/5)x = 11/5 ----> x=(5*11)/(5*2) = 11/2

So the x-intercept is (11/2,0)

Answer:

x = 8

Step-by-step explanation:

Since P is at the midpoint of HR, then

HP = PR ← substitute values

7x + 2 = 58 ( subtract 2 from both sides )

7x = 56 ( divide both sides by 7 )

x = 8

Answer:

Amount of Arabica coffee mixing =   1.016 pounds

Step-by-step explanation:

Cost of Arabica coffee = 28$ per pound

Cost of Robusta coffee = 8.75$ per pound

Amount of Robusta coffee mixing = 5 pounds

Cost for 5 pounds of Robusta coffee = 5 x 8.75 = 43.75 $

Let m be the Amount of Arabica coffee mixing, we have price of mix = 12$ per pound

That is

               43.75 + m x 28 = ( m + 5 ) x 12

               43.75 + 16 m = 60  

                           16 m = 16.25

                               m = 1.016 pounds

    Amount of Arabica coffee mixing =   1.016 pounds

The solution involves the use of weighted averages to determine the amount of Arabica coffee needed. Solving the equation ((28*x) + (8.75*5)) / (x + 5) = 12 for x results in approximately 2.4 pounds of Arabica coffee.

In this problem, we have two types of coffee: Arabica costing $28 per pound and Robusta costing $8.75 per pound. We are asked to find the amount of Arabica coffee to mix with 5 pounds of Robusta to create a blend that costs $12 per pound.

This can be solved using weighted averages. We'll denote the amount of Arabica coffee as 'x' pounds. We multiply the price of each coffee by its amount, add those values, and then divide by the total weight to get the average cost. This can be represented as ((28*x) + (8.75*5)) / (x + 5) = 12.

Solving this equation for 'x' will give the required amount of Arabica coffee needed. Applying the arithmetic operation gives 28x + 43.75 = 12x + 60. Which simplifies to x = 2.38 pounds. So approximately 2.4 pounds of Arabica coffee is needed.

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The Johnsons were using 11.5 tanks of gas per day.

To find out how many tanks of gas the Johnsons were using per day, we need to divide the total tanks used by the number of days. Based on the information given, the Johnsons used 23 tanks in 2 days. So, the tanks of gas used per day can be calculated as:

23 tanks / 2 days = 11.5 tanks of gas per day

Answer:

m∠B=143°

Step-by-step explanation:

we know that

Vertical Angles are the angles opposite each other when two lines cross. They are always equal

so

In this problem we have that

m∠A=m∠B ----> by vertical angles

substitute the given values and solve for x

[tex](4x+23)=(5x-7)\\5x-4x=23+7\\x=30[/tex]

Find the measure of angle B

m∠B=(5x-7)°

substitute the value of x

m∠B=(5(30)-7)°

m∠B=143°

7s + 4(3-5) = 18

Multiply the bracket by 4

(4)(3)=12

(4)(-5)=-20

7s+12-20=18

7s-8=18

Move -8 to the other side.

Sign changes from -8 to +8

7s-8+8=18+8

7s=18=8

7s=26

Divide both sides by 7

7s/7=26/7

Answer: s=26/7 or s=3 5/7

Answer:

7s+4(3-5)=18

7s+12-20=18

7s=18-12+20

7s=26

s=3.714

Answer:

She will buy 4 bags of apples, because every bag has 4 apples, and if you divide the number of apples she needs by the number of apples per bag, you will get 4. 16/4=4

Step-by-step explanation:

Answer:

Answer is 18

Step-by-step explanation:

18 x $5 = $90

12 x $10 = 120 (6 more $5 books sold than $10)

20 x $2 = $40 (8 more $2 books sold than $10)

Total $250

Answer:

Horizontally to the left.

Step-by-step explanation:

Adding The pi/2 moves the graph pi/2 units to the left.

The graph of y=cos (x+ pi/2) is the graph of the y = cos(x) shifted in Horizontally to the left direction.

Suppose the considered function whose graph is to be made is  f(x)

The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values   f(x) are plotted on the vertical axis.

We are given that the function y=cos (x+ pi/2) is the graph of the y = cos(x) shifted in unknown direction.

Therefore, we can conclude that by Adding the pi/2 moves the graph pi/2 units to the left.

Hence, it got shifted in the Horizontally to the left.

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The number of significant figures for each measurement is as follows: 78.9 m has 3 significant figures, 3.788 x 10^5 has 4 significant figures, 2.46 x 10^6 kg has 3 significant figures, and 0.0032 mm has 2 significant figures.

To identify the number of significant figures in a measurement, follow these general rules:

Applying these rules to the examples provided:

Answer:

7 mph

Step-by-step explanation:

Let x mph be the canoeist's rate in still water.

The speed of the current in a stream is 2 mph, then

The distance covered is 22.5 miles.

The time to go upstream [tex]\dfrac{22.5}{x-2}[/tex] hours.

The time to go downstream [tex]\dfrac{22.5}{x+2}[/tex] hours.

It takes a canoeist 120 minutes (= 2 hours) longer to paddle 22.5 miles upstream than to paddle the same distance downstream, then

[tex]\dfrac{22.5}{x-2}-\dfrac{22.5}{x+2}=2\\ \\22.5\left(\dfrac{1}{x-2}-\dfrac{1}{x+2}\right)=2\\ \\22.5\cdot \dfrac{x+2-x+2}{(x-2)(x+2)}=2\\ \\\dfrac{22.5\cdot 4}{x^2-4}=2\\ \\x^2-4=22.5\cdot 2\\ \\x^2-4=45\\ \\x^2 =49\\ \\x=\pm 7[/tex]

The canoeist's rate cannot be negative, then his rate in still water is 7 mph.

Final answer:

To find the canoeist's rate in still water, we set up equations using the time taken to travel 22.5 miles upstream and downstream, with the current's rate given as 2 mi/hr. A time difference of 2 hours between both directions yields a quadratic equation which can be solved to determine the canoeist's rate in still water.

Explanation:

To determine the canoeist's rate in still water, we first need to find the rates traveling upstream and downstream. Let's denote the canoeist's rate in still water as r (in miles per hour), and the rate of the current as 2 mi/hr. When the canoeist paddles upstream, the effective rate is r - 2 mi/hr and when paddling downstream, the effective rate is r + 2 mi/hr.

Given the distance is 22.5 miles in both directions, we can set up two equations:
1) Time upstream = Distance / (r - 2),
2) Time downstream = Distance / (r + 2).

The problem states that it takes 120 minutes (or 2 hours) longer to paddle upstream than downstream, so we have:
Time upstream = Time downstream + 2 hours.
Plugging in the equations from above gives us:
22.5 / (r - 2) = 22.5 / (r + 2) + 2.

Solving this equation, we multiply through by (r - 2)(r + 2) to get rid of the fractions, resulting in:
22.5(r + 2) = 22.5(r - 2) + 2(r² - 4),
which simplies to a quadratic equation we can solve for r.

Therefore, the rate of the canoeist in still water is approximately 3.65 miles per hour.

Answer:

24 times 4 = 96

Answer: 96 ice cream sandwiches

Step-by-step explanation:

24 ice cream sandwiches equals 1 hour

24 ice cream sandwiches x 4 hours = 96 ice cream sandwiches

Hope this helps!

Answer: 200

it would be 200 becuase it would orignally be 186 and since it says "rounded the nerest hundred estimated" you would round up in this case and get 200

Good morning☕️

______

Answer:

200

___________________

Step-by-step explanation:

848 - 662 = 186

186 rounded to nearest hundred is 200.

:)