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2 years ago

It takes half of a yard of ribbon to make a bow. How many bows

Mathematics

2 answers:

soldier1979 [14.2K]2 years ago

6 0

14 bows can be made with 7 yards of ribbon.
This is because 7 divided by 0.5 equals 14.

Ksenya-84 [330]2 years ago

4 0

14 because you can make 2 bows with 1 yard and 7 x 2 is 14

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Three Nissans, two Fords, and four Chevrolets can be rented for $106 per day. At the same rates two Nissans, four Fords, and thr

Sindrei [870]

Answer:

The rental rate for the Fords is of $12 per day.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the cost of a Nissan.

y is the cost of a Ford.

z is the cost of a Chevrolet.

Three Nissans, two Fords, and four Chevrolets can be rented for $106 per day.

This means that:

$3x + 2y + 4z = 106$

Two Nissans, four Fords, and three Chevrolets cost $107 per day

This means that:

$2x + 4y + 3z = 107$

Four Nissans, three Fords, and two Chevrolets cost $102 per day.

This means that:

$4x + 3y + 2z = 102$

From the first equation:

$4z = 106 - 3x - 2y$

$2z = 53 - 1.5x - y$

$z = 26.5 - 0.75x - 0.5y$

Replacing into the third equation:

$4x + 3y + 53 - 1.5x - y = 102$

$2.5x + 2y = 49$

From the second equation:

$2x + 4y + 3z = 107$

$2x = 107 - 4y - 3z$

$x = 53.5 - 2y - 1.5z$

$x = 53.5 - 2y - 1.5(26.5 - 0.75x - 0.5y)$

$x - 1.125x = 53.5 - 2y - 39.75 + 0.75y$

$-0.125x = 13.75 - 1.25y$

$0.125x = 1.25y - 13.75$

$x = \frac{1.25y - 13.75}{0.125}$

$x = 10y - 110$

Find the rental rate for the Fords.

We have to find y, so:

$2.5x + 2y = 49$

$2.5(10y - 110) + 2y = 49$

$25y - 275 + 2y = 49$

$27y = 324$

$y = \frac{324}{27}$

$y = 12$

The rental rate for the Fords is of $12 per day.

3 0

3 years ago

If 270°<θ<360°, and tan⁡ θ= - 1/2, what is the value of tan⁡(−θ)?

stiv31 [10]

Check the picture below.

let's recall that once we move an angle in the opposite direction of the 0-line or x-axis, we end up with a negative counterpart angle.

since we know that θ is on the IV Quadrant, then its negative counterpart must be across the line, and tangent is negative on the IV Quadrant, and positive on the I Quadrant.

4 0

3 years ago

For which system of equations is (2, 2) a solution?

Eva8 [605]

Answer D.

Insert (2, 2) in for x and y in the equations.

2(2)+ 3(2) = ?
? = 10
4(2) + 5(2) = ?
? = 18

8 0

3 years ago

Find the value of g(-1)

Anna11 [10]

Answer:

g(-1) = -3

Step-by-step explanation:

g(-1) is the y value of the graph when x = -1

when x=-1 y=-3

g(-1) = -3

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2 years ago

How many times does 2/3 go into 10

Fiesta28 [93]

Answer:

Step-by-step explanation:

2/3 simplified into decimal form would be .6666666666 repeating therefore if you divide 10 by 2/3 it can go in a total of 15 times fully

6 0

2 years ago

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