Which of the ordered pairs is a solution to the system of inequalities? y > 5 y ≥ x (0, 0) (4, 5) (-5, 4) (-5, 6)

Answers

Answer 1

Plug the y value in for y and plug the x value in for x

> less than

> less than or equal to

Example:

(4,5)

y > 5y > x

5 > 5x5 > 4  =  5 > 25 > 4  =  false

they all should be false

if one had to be correct, I would say (0, 0)

Answer 2

Answer:

(0,0)

Step-by-step explanation:


Related Questions

What is the speed for this question

Answers

Answer:

No

Step-by-step explanation:

La pagina e bloccata

9514 1404 393

Answer:

  see the attachment

Step-by-step explanation:

The relationship between speed, distance, and time is ...

  speed = distance/time

  distance = speed×time

__

Use the given time & distance to find the speed. Apparently, we're to assume the speed remains constant, so the remaining distances will be the product of speed and time.

The plane flies 610 miles in one hour.

The maximum diameter of a bowling ball is 8.6 inches. What is the volume to the nearest tenth of a bowling ball with this diameter?

Answers

Answer:

333 cubic inches

Step-by-step explanation:

Hello, I can help you with this.

according to the question the maximum diameter of a bowling ball is 8.6 inches.

[tex]D_{max}=8.6 inches\\[/tex]

Step one

using this equation find the radius of the ball

remember

Diameter=2*radius

diameter/2= radius

put the value into the equation

8.6 inches/2= radius

radius=4.3 inches

Step two

using the known radius , find the volume

the volume of a sphere is given by

[tex]V=\frac{4}{3}\pi *radius^{3}[/tex]

put the value of radius into the equation

[tex]V=\frac{4}{3}\pi *(4.3\ in) ^{3} \\\\V=\frac{4}{3}\pi *79.507\ in ^{3}\\V=333.03 in ^{3}[/tex]

so,  the volume to the nearest tenth of a bowling ball with this diameter is 333 cubic inches.

I hope it helps, have a good day.

Answer:

The volume of the bowling ball to the nearest tenth is v ≈ 106.0π in³ in terms of π  or v≈332.9 in³

Step-by-step explanation:

To find the volume of the bowling ball, we will follow the steps below;

First write down the formula for calculating the volume of a sphere

v=[tex]\frac{4}{3}[/tex]πr³

where v = volume of the ball   and  r = radius of the ball

From the equation given, the diameter of the ball is 8.6 inches but radius is half of diameter, this implies that r= d/2 = 8.6/2 = 4.3, that is; radius=4.3 inches.

Let substitutes the value into the equation

v=[tex]\frac{4}{3}[/tex]×π×(4.3)³

v = [tex]\frac{4}{3}[/tex]×π×79.507

v =106.009π

v ≈ 106.0π in³

we can take π=3.14

v = 106.009×3.14

v =332.86826

v≈332.9 in³

The volume of the bowling ball to the nearest tenth is v ≈ 106.0π in³ in terms of π  or v≈332.9 in³

Mrs. Gomez has two kinds of flowers in her garden. The ratio of lilies to daises in the garden is 5:2
If there are 20 lilies, what is the total number of flowers in her garden?

Answers

Answer: 28 flowers

Step-by-step explanation: if the ratio is 5 : 2 that means that the ratio was multiplied by four to get 20 for the number of lilies . multiply 2 times 4 to get 8 and then add that to the totally number of lilies to get 28 flowers in total .

There are 28 flowers in her garden.


Ratio of flowers lilies to daises are 5:2, Number of lilies  = 20 by this information total number of flowers in Mrs. Gomez to be determine.


What is the Ratio?

The ratio can be defined as between two quantity the quantity of 1 present relative to quantity 2.

Let there are "d" number of daises in garden, than ratio can be.
20/d = 5/2
d = 8
Number of daises = 8
Now,
Total number of flowers = 20+8
                                         =  28

Thus, there are 28 flowers in her garden.

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When I went to the store, I purchased four items. The following shows the cost of three of the items:

$1.50
$3.00
$4.00

The line to the checkout was pretty long, so to quench my boredom I started playing with my pocket calculator while waiting.

I found out, to my surprise, that the four prices of the four items I purchased added to the same number as I got when I multiplied the four prices together.

What was the price of the fourth item?

Answers

The price of the 4rth item is $0.50.

How to find the price of the 4rth item?

The three prices add to 1.50 + 3.00 + 4.00 = $8.50.

The three prices multiply to 1.50 x 3.00 x 4.00 = $18.00.

You might see that adding another $0.50 will take the total to $9.00, and multiplying by another $0.50 will take the product to $9.00 also, but the answer can also be found using algebra. Let's call the unknown price P:

1.50 + 3.00 + 4.00 + P = 1.50 x 3.00 x 4.00 x P

8.50 + P = 18.00 x P

8.50 = 18.00 x P - P

8.50 = 17.00 x P

8.50/17.00 = P

P = 0.50.

Problem-solving is defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

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Final answer:

To solve the puzzle, we create an equation with the fourth price as 'x' and set the sum of the prices equal to the product of the prices. After simplifying, we find that the fourth item must cost $2.00 to satisfy the condition.

Explanation:

The student is faced with a mathematical puzzle involving the addition and multiplication of prices of items purchased. The condition is that the prices added together equals the product of the prices. Given three of the prices as $1.50, $3.00, and $4.00, let us assume the price of the fourth item is x. Therefore:

Sum of prices: $1.50 + $3.00 + $4.00 + xProduct of prices: $1.50 × $3.00 × $4.00 × x

The equation to solve is:

$1.50 + $3.00 + $4.00 + x = $1.50 × $3.00 × $4.00 × x

Simplifying the equation:

$8.50 + x = $18.00 × x

Subtracting $8.50 from both sides gives us:

x = $18.00 × x - $8.50

Dividing both sides by x:

1 = $18.00 - $8.50 / x

Finally, solving for x:

x = $18.00 / ($18.00 - 1)

x = $2.00

Thus, the price of the fourth item is $2.00.

Tia had a garden that was 2 meters long. Her brother used 458 millimeters of the length at one end as a worm farm.
How long is the part of the garden Tia can use for plants now?
1,542 centimeters
154 centimeters
1.642 centimeters
2.542 centimeters

Answers

Answer:

1542 millimeters or 15.42.42 centimeters

Step-by-step explanation:

The initial length being 2m converted to millimeters will mean we multiply by 1000 since

1m=1000mm

Therefore, 2m will be 2*1000=2000 mm

Part used was 458mm hence to get the remaining part we get the difference as follows

2000 mm -458 mm=1542 mm

Therefore, the length that can be used now is 1542 mm or 15.42 cm

If an instrument measures in units of 0.5, then any value between which two values would be measured as 6?

Answers

Answer:

c.4.5 and 5.5

Step-by-step explanation:

Answer:

5.75 and 6.25

Step-by-step explanation:

i had it on a test

Solve the inequality and graph the solution. |x + 7| − 15 < 8

Answers

Answer:

Inequality Form:

−30<x<16

Interval Notation:

(−30,16)

Step-by-step explanation:

What is the area of the trapezoid?
20 ft
24 ft

Answers

I think the answer is 44

Choose the statement that is not true based on these diagrams.

38° + m∠2 + 108° = 180°

m∠A + 108° + 34° = 180°

m∠A = m∠2

m∠2 = 34°

Answers

Answer:

m∠A = m∠2

Step-by-step explanation:

38° + m∠2 + 108° = 180°

The above statement is true because the sum of angles on a straight line is 180°

m∠A + 108° + 34° = 180°

This is also true because the sum of angles in a triangle is 180°.

m∠A = m∠2

This statement is false because 34°≠32°

m∠2 = 34°

This statement is true because:

m∠2 = 180-38-108=34°

Answer:

C. m∠A = m∠2

Step-by-step explanation:

Placing the interior angles of a triangle adjacent to each other forms a straight angle.

Thank me if you learned from me and give me 5 stars it it is right!

A pool table is 8 feet long and 4 feet wide. How far is it from one corner pocket to the diagonally opposite corner pocket?

Answers

Answer:

square root of 80 or about 8.9 feet

Step-by-step explanation:

Use the Pythagorean Theorem:

8 squared times 4 squared=80

=square root of 80

Can someone plz help? I suck at these lol. Thanks :3

Answers

Answer:

im not sure but it might be 75

Step-by-step explanation:


As the SAT is used for college admissions, the GRE is used for graduate school admissions. A sample of vorbal and
quantitative scores from the GRE are both normally distributed, with the values of H and are given below
Verbal Quantitative
1170 550
121 148
Kevin scored 610 on the verbal section and 700 on the quantitative section. Use the standard deviation as a unit of
measurement to compare Kevin's verbal and quantitative scores on the GRE

Answers

Answer:

Step-by-step explanation:

Translate: The difference 0f 10 and the cube root of x is identical to the square of x


Answers

Answer:

100 x

Step-by-step explanation:

so we have to do 8 1/4 + 3 5/6

Answers

Hope this will help u...

Answer:

145/12 or 12.08333333

Step-by-step explanation:

This is confusing
(2x+y)^2−(x−2y)^2

Answers

Answer:

[tex] {(2x + y)}^{2} - {(x - 2y)}^{2} [/tex]

[tex] < {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} > [/tex]

[tex] < {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} > [/tex]

[tex] {(2x)}^{2} + 2(2x)(y) + {(y)}^{2} - {(x)}^{2} - 2(x)(2y) + {(2y)}^{2} [/tex]

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

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

[tex] = {3x}^{2} + {5y}^{2} [/tex]

Hope this will help u...

Look at the attached picture

jim has an 8 foot board that he wants to cut into pieces that are 1/4 foot in length. how many 1/4 foot pieces can be cut from the 8 foot board?​

Answers

Answer:

32 1/4ft pieces

Step-by-step explanation:

To get the answer divide 8 by one-fourth:

4*8 = 32 pieces

Support me by selecting my answer as brainiest.

Answer: The answer to you question is 2

Step-by-step explanation:

Step one: Divide the 8 by 1/4

Step two: Simplify the amount you get (which should be 2)

Step three: Box your answer

Task Directions: Ms. Chang's class decides to order posters that advertise a walkathon to raise money for
a local charity. Ichiro obtains quotes from two different companies.
Clear Prints charges $2 per poster
Posters by Sue charges $15 plus $.50 per poster.
a. Write an equation Ichiro could use to calculate the cost for any number of
posters Clear Prints.

Answers

Answer:

a.

Clear Prints = [tex]2p[/tex]

Sue = [tex]15 + 0.5p[/tex]

b.  10 posters

c.  See Below

d.  Clear Prints

e. See Below

Step-by-step explanation:

Complete Question:

Ms. Chang’s class decides to order posters that advertise a walkathon to raise money for a local charity. Ichiro obtains quotes from two different companies.Clear Prints charges $2 per poster. Posters by Sue charges $15 plus $.50 per poster.

a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters.

b. For what number of posters is the cost the same for both companies? Explain.

c. Which company do you think the class should buy posters from? Explain your reasoning.

d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from?

e. If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made? What factors influenced your decision?

Solution:

a.

Let the number of posters be "p" so

Clear Print would take 2 * p or "2p"

Sue would take a fixed cost of $15 and 0.5p, so "15 + 0.5p"

b.

We want cost of both to be same. So we can equate:

[tex]2p=15 + 0.5p[/tex]

Now, using algebra, we can solve for "p", the number at which both of the printers will cost same. Lets do this:

[tex]2p=15 + 0.5p\\2p-0.5p=15\\1.5p=15\\p=10[/tex]

So, for 10 posters, the cost of both will be same

c.

It depends.

If the number of posters they order is LESS THAN 10, they should order from Clear Prints. If the number of posters they print is "10", then they can choose any one of the printers since cost would be same. If they print more than 10 posters, then they should choose to go with Sue, as it will cost less.

d.

If the budget is $18, they can get:

Clear Prints = 18/2 = 9 posters made

Sue = 15 already gone as fixed cost, so remaining is 18 - 15 = 3

At 0.5 per poster, 3/0.5 = 6 posters

So, taking Clear Prints would be better.

e.

The budget of 18 is increase by 10, so the budget is:

18 + 10 = $28

From clear prints, you can get:

28/2 = 14 posters

From Sue, you can get:

28 - 15(fixed cost) = 13 left for posters

13/0.5 = 26 posters

Definitely, Sue gives more, so decision made at $18 budget to get Clear Prints would be impacted because they should now go with Sue since it will give them better deal and more posters.

A linear function has a slope of 5/3 and crosses the y-axis at -12. What is the equation of the line?

Answers

Answer:

y=[tex]\frac{5}{3}[/tex]x-12

Step-by-step explanation:

slope= 5/3

y intercept= -12

Answer:

y=\frac{5}{3}x-12

You estimate that there are 45 marbles in a jar. The actual amount is 82 marbles. Find the percent error. Round to the nearest tenth of a percent.

Answers

Answer:

45.1

Step-by-step explanation:

The original amount is 82

But the wrong amount is 45

So we will have to calculate the percentage for the error

82-45

37

So %error= 37/82 ×100

=3700/82

=45.121~45.1( to nearest tenth)

So the final answer is 45.1%

y varies directly as x and y=0.5 when x=2. What is y when x=10?

Answers

y=0.25x

Step-by-step explanation:

the initial statement is

y

x

to convert to an equation multiply by k the constant of

variation

y

=

k

x

to find k use the given condition

y

=

0.5

when

x

=

2

y

=

k

x

k

=

y

x

=

0.5

2

=

0.25

Answer:

y=2.5

Step-by-step explanation:

Proportion

(2/.5)=(10/y)

If y=25 and x=25. What is x+y+300=?

Answers

Answer:

350

Step-by-step explanation:

Y=25 X=25

x + y + 300 = ___

25 + 25 + 300 = 350

Answer:

350

Step-by-step explanation:

given that

y = 25

x = 25

in order to evaluate for the value of

x + y+ 300 = ?

25 + 25 + 300 =350

Which of the following equations have no solution? Check all that apply.
6x + 1 = 3(2x – 4)
2 - 5x = 7x – 12
4(3 – x) = 2(6 - 2x)
5(x + 2) = 2(x – 4)
-4(x + 3) = 4(x - 1)
ANSWERS (A,E)

Answers

The equation that have no solution is:  6x + 1 = 3(2x - 4).

The correct option is the first option.

Here, we have to check which of the equations have no solution, we need to solve each equation and see if they lead to a contradiction or an inconsistency.

If the variable (x) cancels out during the solving process, it means that the equation has no solution.

1) 6x + 1 = 3(2x - 4)

Expand the right side: 6x + 1 = 6x - 12

Subtract 6x from both sides: 1 = -12

In this case, we end up with a contradiction (1 = -12), which means there is no solution.

2) 2 - 5x = 7x - 12

Add 5x to both sides: 2 = 12x - 12

Add 12 to both sides: 14 = 12x

Divide by 12: x = 14/12 = 7/6

This equation has a solution.

3) 4(3 - x) = 2(6 - 2x)

Expand both sides: 12 - 4x = 12 - 4x

Subtract 12 from both sides: -4x = -4x

In this case, the variable (x) cancels out, which means any value of x would satisfy the equation.

So, this equation has infinitely many solutions.

4) 5(x + 2) = 2(x - 4)

Expand both sides: 5x + 10 = 2x - 8

Subtract 2x from both sides: 3x + 10 = -8

Subtract 10 from both sides: 3x = -18

Divide by 3: x = -18/3 = -6

This equation has a solution.

5) -4(x + 3) = 4(x - 1)

Expand both sides: -4x - 12 = 4x - 4

Add 4x to both sides: -4x - 4x - 12 = 4

Combine like terms: -12 - 4 = 8x

Combine like terms on the left side: -16 = 8x

Divide both sides by 8 to isolate x: x = -2

This equation has a solution.

So, the equation that have no solution is:  6x + 1 = 3(2x - 4).

Hence, The correct option is the first option.

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Final answer:

To determine which equations have no solution, we need to solve each equation and see if any values of x make the equation false. The equations that have no solution are 6x + 1 = 3(2x – 4) and 4(3 – x) = 2(6 - 2x).

Explanation:

To determine which equations have no solution, we need to solve each equation and see if any values of x make the equation false. Let's go through each equation:

6x + 1 = 3(2x – 4)
Simplifying both sides, we get 6x + 1 = 6x - 12. Subtracting 6x from both sides gives us 1 = -12, which is not true. Therefore, this equation has no solution.2 - 5x = 7x – 12
Combining like terms, we get -5x - 7x = -12 - 2, which simplifies to -12x = -14. Dividing both sides by -12, we find that x = 7/6. Therefore, this equation has a solution.4(3 – x) = 2(6 - 2x)
Simplifying both sides, we get 12 - 4x = 12 - 4x. This equation is true for all values of x. Therefore, this equation has infinitely many solutions.5(x + 2) = 2(x – 4)
Expanding both sides, we get 5x + 10 = 2x - 8. Combining like terms, we get 3x = -18. Dividing both sides by 3, we find that x = -6. Therefore, this equation has a solution.-4(x + 3) = 4(x - 1)
Expanding both sides, we get -4x - 12 = 4x - 4. Adding 4x to both sides gives us -4 = 8x - 4. Adding 4 to both sides gives us -8 = 8x. Dividing both sides by 8, we find that x = -1. Therefore, this equation has a solution.

So, the equations that have no solution are 6x + 1 = 3(2x – 4) and 4(3 – x) = 2(6 - 2x). The correct answers are A and E.

Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + three-fifths) = 2 y y = 5 x + StartFraction 3 Over 10 EndFraction y = 5 x + 3 y = one-fifth x + StartFraction 3 Over 25 EndFraction y = one-half x + 6

Answers

Question

Consider this system of equations. Which shows the second equation written in slope-intercept form?

[tex]y = 3x - 2.[/tex]

[tex]10(x + \frac{3}{5} ) = 2y[/tex]

A. [tex]y = 5x + \frac{3}{10}[/tex]

B. [tex]y = 5x + 3[/tex]

C. [tex]y = \frac{1}{5} x + \frac{3}{25}[/tex]

D. [tex]y = \frac{1}{2} x + 6[/tex]

Answer:

B. [tex]y = 5x + 3[/tex]

Step-by-step explanation:

Given

Equation 1: [tex]y = 3x - 2.[/tex]

Equation 2: [tex]10(x + \frac{3}{5} ) = 2y[/tex]

Required:

Equivalent of equation 2

To get an equivalent of equation 2 (in slope intercept form), first we have to simplify equation 2

[tex]10(x + \frac{3}{5} ) = 2y[/tex]

Open the bracket

[tex]10*x + 10 *\frac{3}{5} = 2y[/tex]

[tex]10x + \frac{30}{5} = 2y[/tex]

Simplify fraction

[tex]10x + 6 = 2y[/tex]

Divide through by 2

[tex]\frac{10x}{2} + \frac{6}{2} = \frac{2y}{2}[/tex]

[tex]5x + 3 = y[/tex]

Re-arrange

[tex]y = 5x + 3[/tex]

The next step is to compare each of option A through D with [tex]y = 5x + 3[/tex]

A.

[tex]y = 5x + \frac{3}{10}[/tex] is not equal to [tex]y = 5x + 3[/tex]

We check the next available option

B.

[tex]y = 5x + 3[/tex] is equal to [tex]y = 5x + 3[/tex]

This option is equivalent to the second equation in slope-intercept form.

We check further if there are more equivalent options

C.

[tex]y = \frac{1}{5} x + \frac{3}{25}[/tex]

Convert fraction to decimal

[tex]y = 0.2x + 0.12[/tex]

This is not equal to [tex]y = 5x + 3[/tex]

D.

[tex]y = \frac{1}{2} x + 6[/tex]

Convert fraction to decimal

[tex]y = 0.5x + 6[/tex]

This is not equal to [tex]y = 5x + 3[/tex]

Hence, the only equation that is equivalent to the second equation written in slope intercept form is Option B

Answer:

The answer is B

Step-by-step explanation:

Can i have Brainliest

Study the steps shown to solve the given equation.
(√30 - 2x)= x - 3
30 - 2x = x2 - 6x + 9
0 = x2 - 4x - 21
0 = (x + 3)(x - 7)
Based on the above work, possible solutions of the equation are
and
Check the answers in the original equation. The extraneous solution
is x=

Answers

The possible solutions are -3 and 7, and the extraneous solution is x = -3,

From the steps shown, the last step is:

[tex]0 = (x + 3)(x - 7)[/tex]

Rewrite as:

[tex](x + 3)(x - 7)=0[/tex]

Split

[tex](x + 3)=0\ or\ (x - 7)=0[/tex]

Remove brackets

[tex]x + 3=0\ or\ x - 7=0[/tex]

Solve for x

[tex]x =-3\ or\ x =7[/tex]

So, the possible solutions are -3 and 7

Substitute -3 and 7 for x in the original equation to determine the extraneous solution.

[tex]\sqrt{30 - 2x}= x - 3[/tex]

[tex]\sqrt{30 - 2(-3)}= -3 - 3[/tex]

[tex]\sqrt{36}= -6[/tex]

Take square root of 36

[tex]6= -6[/tex]

[tex]\sqrt{30 - 2x}= x - 3[/tex]

[tex]\sqrt{30 - 2(7)}= 7- 3[/tex]

[tex]\sqrt{16}= 4[/tex]

Take square root of 16

[tex]4= 4[/tex]

Hence, the extraneous solution is x = -3, because [tex]6 \ne -6[/tex]

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The both the correct answer's displayed in the image below.

Help me please thanks

Answers

Answer:

24 pi/3 or approximately 25.12 cubic feet

Step-by-step explanation:

A cone's volume is a third of a cylinder's volume.

What values of x make the equation x2 + 9x – 22 = 0 true? Check all that apply.

–11
–2
0
2
11

Answers

The answer is 2

This is because if you do 2•2 you get 4. 2•9 you get 18. Add 4+18=22
22-22=0

Answer:

The correct answer is 2 and -11

Step-by-step explanation:

Lara is putting lace trim around the border of a circular tablecloth. The tablecloth has a diameter of 1.2 meters. What is the length of the lace she needs? Round to the nearest tenth of a meter.

Answers

Answer:

3.8m

Step-by-step explanation:

Since Lara is putting lace trim around the border of a circular tablecloth, by the time she finishes she has covered the circumference.

The circumference of a circle is calculated using:

[tex]C=\pi \: d[/tex]

where d is the diameter of the circle.

It was given that the diameter of the circular table cloth is 1.2 meters.

[tex]C=3.14 \times 1.2[/tex]

[tex]C=3.768[/tex]

Therefore the length of the lace she needed is 3.8m

Final answer:

Lara will need 3.8 meters of lace trim for the border of her circular tablecloth, after rounding to the nearest tenth.

Explanation:

The student is asking about the circumference of a circle, which is the total length around the circle. Given the diameter of the tablecloth as 1.2 meters, the circumference can be found using the formula C = πd, where C is the circumference and d is the diameter. The value of π (pi) is approximately 3.14. So the length of lace Lara needs is C = 3.14 × 1.2 meters = 3.768 meters. After rounding to the nearest tenth of a meter, Lara would need 3.8 meters of lace trim.

what is the volume of the square with radius of 5 cm. Use 3.14 for π.

Answers

Answer:

523.3 cubic centimeters

Step-by-step explanation:

I'm assuming you mean sphere, not square.

Volume of a sphere:

V = 4/3 * πr^3

Plug in our value for radius:

V = 4/3 * π5^3

Simplify:

V = 4/3 * 3.14 * 125 = 523.3 cubic centimeters

The Donut Spot is a local bakery that Steve
and Hannah visit each morning on their way to
work. One day Steve purchased 3 doughnuts
and 2 cups of coffee for $10.45. Hannah
purchased 2 doughnuts and 1 cup of coffee for
$6.17. What is the individual price for a single
doughnut and a single cup of coffee?

Answers

doughnuts cost $1.89 per doughnut

Dividing fractions



1. 4/5 divided by 1/3




Let’s see if you can answer this

Answers

Answer:

2 2/5

Step-by-step explanation:

4/5 x 3/1

12/5

=2 2/5

Answer:

Step 1: [tex]\frac{4}{5} /\frac{1}{3}[/tex]

Step 2: Change the fraction 1/3 into a whole number (Reciprocal of 1/3 is 3) [tex]\frac{4}{5} x 3[/tex]

Step 3: Multiply 4 (the numerator of the fraction) by 3.

Step 4: The product is 12/5.

Step 5: Simplify the answer to 2 2/5

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