Casey went to the fabric store and bought 2 2/3 yards of yellow fabric, yards of purple fabric, 3 1/9 and a pair of 5 1/5 inch scissors. How many yards of fabric did Casey buy altogether?

A.
5 7/9 yards

B.
5 5/9 yards

C.
5 5/3 yards

D.
5 1/3 yards

Answers

Answer 1

Answer: The answer is A: 5 7/9 yards

Answer 2

Answer:

Final answer:

Casey bought a total of 5 5/9 yards of fabric (yellow and purple combined). The pair of scissors does not count towards the total yardage of fabric.

Explanation:

The first step is to add the amount of yellow and purple fabric that Casey bought. So we have 2 2/3 yards of yellow and 3 1/9 yards of purple fabric, which gives us a total of 5 5/9 yards of fabric (Since 2 2/3 equals 8/3 and 3 1/9 equals 28/9, when we add them we have 8/3 + 28/9 = 56/27, which simplifies to 5 5/9). The pair of scissors does not count towards the amount of fabric bought, so it can be disregarded for this question. Thus, the correct answer is B. 5 5/9 yards.

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if 6 banannas are $1.50 and 5 oranges are $3.00 how much would it cost if i buy 2 banannas,and 2 oranges.

Answers

2 bananas are $0.50
2 oranges are $1.20

find cost of 1 of each
1.50/6=0.25 per banana
3.00/5=0.60 per orange

2*0.25+2*0.60=0.50+1.20=1.70

total cost is $1.70

Use the distance formula to find the distance between (1 3) and (-2 9) rounded to the nearest hundredth

Answers

Answer:

D = 6.71

Step-by-step explanation:

The distance formula is $D = \sqrt {(x_(2) -x_(1))^(2) +(y_(2) -y_(1))^(2) }$

Decide which point will be Point 1 and Point 2.

Point 1: ( 1,3 ) x₁ = 1 y₁ = 3

Point 2: (-2, 9) x₂ = -2 y₂ = 9

Substitute the information into the formula.

$D = \sqrt {(x_(2) -x_(1))^(2) +(y_(2) -y_(1))^(2) }$

$D = \sqrt {(-2 -1)^(2) +(9 -3)^(2) }$ Simplify within the brackets

$D = \sqrt {(-3)^(2) +(6)^(2) }$ Square each number

$D = \sqrt {9 +36 }$ Add

$D = \sqrt {45 }$ Exact answer as a radical (root number)

$D = 6.708....$ Answer in decimals

$D = 6.71$ Rounded answer to nearest hundredth

The nearest hundredth is the second place value. It rounds up because the value after it is "8", which is greater than 4.

Final answer:

The distance between the points (1, 3) and (-2, 9) can be found using the distance formula in geometry. The entire sequence of calculation results in the square root of 45 which, rounded to the nearest hundredth, would be approximately 6.71.

Explanation:

The distance formula is a tool in geometry that can be used to find the distance between two points in a coordinates plane. Given two points (x1, y1) and (x2, y2), the formula is:

Distance = sqrt((x2-x1)² + (y2-y1)²)

Applying this formula to find the distance between the points (1, 3) and (-2, 9) would look like this:

Distance = sqrt(((-2)-1)² + (9-3)²)

Distance = sqrt((-3)² + 6²)

Distance = sqrt(9 + 36)

Distance = sqrt(45)

Then, if we round to the nearest hundredth, the distance would be approximately 6.71.

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What is true regarding chords and diameters of circles?A. both cords and diameters have two endpoints on a circle. Diameters must intersect the center of a circle.

B. both chords and diameters have two endpoints on a circle. Chords must intersect the center of a circle

C. Chords have two endpoints on a circle. Diameters have one endpoints on a circle and one at the center

D. Chords have one endpoint on a circle and one at the center. Diameters have two endpoints on a circle

Answers

Answer:

The correct answer is A.

Step-by-step explanation:

The only way to answer this question is to check the definitions of chord and diameter.

A chord is a segment with endpoints on the circle. In the attached figure the segments CD and GH are chords.

Now, notice that according to the given definition the segment EF is also a chord, but with the special characteristic that the center of the circle, denoted by A, it is on the segment. This ‘‘special’’ chords that contains the center of the circle are called diameter.

Sometimes the diameters are also called the larger of the chords.

the answer choice will be A

PLEASE HELP ME PRE CAL/TRIG The first Ferris Wheel had a diameter of 250 feet and took 10 minutes to complete one full revolution.

a. How many degrees would the Ferris wheel rotate in 100 seconds?

b. How far has a person traveled of he or she has been on the Ferris wheel for 7 minutes?

c. How long would it take for a person to travel 200 feet?

Try to show work :))

Answers

Answer:

A) 60 Degrees

B) 550 Feet

C) 2.5 minutes

Step-by-step explanation:

a) So the wheel has completed one revolution in 10 minutes so lets first divide 100 secs with 10 minutes to calculate the the fraction of revolution

1 min = 60 secs

10 min = 600 secs

100/600 = 1/6

One complete revolution is 360 degrees and 1/6 of 360 degrees will be 60 degrees .

360/6 = 60°

b) It takes 10 minutes to complete one revolution so if the person is on it for 7 minutes it would be 7/10 of a revolution . The ferris wheel has a diameter of 250 feet so the radius will be 125 feet because it is the half of the diameter and the circumference will be 250 π . To calculate the distance lets multiple the fraction of the revolution which is 7/10 into the circumference $(7)/(10) * (250 pi)$ = 550 Feet.

C)It took 10 minutes to travel 250 π now we will use this relation to calculate 200 feet . lets suppose t is for time .

$(250pi)/(10) =(200)/(t)$ .

After solving this equation as there is only one unknown which is "t "the answer will be 2.5 minutes.

used 1/3 yard of ribbon to tie a package and 1/6 yard of ribbon to tie a bow how many yards of ribbon did jamal use

Answers

The total amount of yard Jamal used is 1/2 yard

Amount of yard he used to tie a package = 1/3 yard
Amount of yard he used to tie a bow = 1/6 yard

Further Explanation

To determine the overall amount of yards of ribbon that Jamal used, the amount of yard he used to tie a package and the amount he used to tie a bow will be added; the derived value is the total amount of yard he used.

Therefore,

= 1/3 + 1/6

= (2+1)/6

= 3/6

= 1/2 yard (Further broken down to this)

The above values are fractions. A fraction is a number that has a part of a whole. It always has a numerator and denominator. Numerators are number values that are always on top, while denominators are number values that are always at the bottom

To derive the final answer (1/2), both denominators (3 and 6) Lowest Common Denominator was factored out which is (6), and is used to divide both denominators, then multiplied by the numerators. The derived values were added to get another fraction which was finally broken down to arrive at the final answer.

Significantly, the order of operations i.e. BODMAS was made use of. BODMAS is an acronym of Bracket, Of, Division, Multiplication, Addition, Subtraction.

LEARN MORE:

Numbers: brainly.com/question/2906770
Lowest common denominator brainly.com/question/10962736
fraction brainly.com/question/6201432

KEYWORDS:

fractions
lowest common denominator
numerator
bodmas
addition
multiplication

Make both equal fractions, 1/6 = ?/3

The length of a rectangle is twice its width. The perimeter of the rectangle is no more than 174 cm. What is the greatest possible value for the width? (a) Write an inequality to model the problem. Explain why the inequality models the problem.
(b) Solve the inequality. Show your work.
(c) Answer the question.