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4 years ago

Pls help with 7,8,9 i will say thx for it

Mathematics

1 answer:

baherus [9]4 years ago

7 0

Let's do this.

7. 2880 ÷ 12 = $240 per month are put into his savings. 240 ÷ 3 = 80, and 80 × 20 = 1600. Ryan gets paid $1600 a month.

8. 318.50 × .3 = 95.4, so $95.40 gets taken off, making them pay $223.10.
With their other coupon, another $33.47 will be taken off, making the final price $189.63.

9. 41.2218649697%, which can be rounded up to 41.22%

Hope this helped.

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PLS ANSWER WILL GIVE 10 PTS

Whitepunk [10]

<h3>Answer: b) 18 cm </h3>

========================================================

Work Shown:

Since the parallelogram has perpendicular diagonals, this means that we're dealing with a rhombus. A rhombus has all four sides equal to one another.

One diagonal is bisected, or cut in half, to form the smaller pieces of length (150/x) + 10 and x-10. Set these two expressions equal to each other and solve for x

(150/x) + 10 = x-10

1500/x = x-10-10

1500/x = x-20

1500 = x(x-20)

1500 = x^2-20x

0 = x^2-20x-1500

x^2-20x-1500 = 0

(x-50)(x+30) = 0

x-50 = 0 or x+30 = 0

x = 50 or x = -30

We'll ignore the negative x value as it leads to a negative length which doesn't make sense.

If x = 50, then

x-10 = 50-10 = 40
(150/x)+10 = (150/50)+10 = 30+10 = 40

Each piece of this diagonal is 40 cm long.

The two smaller pieces combine to 40+40 = 80, which is the length of one of the diagonals. If this was the shorter diagonal, then 80 would be listed as part of the answer choices. However, 80 is not one of the answers.

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

Note how the two diagonals of the rhombus cut the figure into four right triangles.

Each right triangle has one known leg to be 40 and an unknown leg of y. The hypotenuse is 164/4 = 41 since we divide the perimeter by the four equal sides of the rhombus.

We'll use the pythagorean theorem to find the value of y

a^2 + b^2 = c^2

40^2 + y^2 = 41^2

1600 + y^2 = 1681

y^2 = 1681-1600

y^2 = 81

y = sqrt(81)

y = 9

This represents half of the other diagonal, so the full length of this other diagonal is 2*9 = 18 cm.

7 0

3 years ago

Read 2 more answers

The area of a circle is 80 square inches. Find the area of the sector whose central angle is 45 degrees

Pie

The whole circle (in terms of area) is 360 degrees.
Area of Sector = (angle / 360) * Area of the entire circle
Area of Sector = (45 / 360) * 80 in^2
Area of sector = (1/8) * 80 in^2
Area of sector = 10 in^2

7 0

4 years ago

Read 2 more answers

How many cups of raisins are needed

Amanda [17]

Answer:

1 1/3

Step-by-step explanation:

Half of 2 is 1, Half of 2/3 is 1/3. Thus, 1+1/3= 1 1/3

7 0

4 years ago

Nixon has a square piece of wrapping paper that has a total area of 200 square inches. Which point on the number line below repr

LenaWriter [7]

Answer:

x = 14 inches

Step-by-step explanation:

The area of a square piece of paper is 200 square inches.

We need to find the point on the number line below represents the measurement closest to the side length of the piece of wrapping paper. It is shown in the attached figure.

Area of a square = x², x is the side length

$x=\sqrt{A} \\\\x=\sqrt{200} \\\\x=14.142\ \text{inches}$

x = 14 inches

So, the side length of the square is 14 inches. It is shown in point A.

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4 years ago

Steven's quarters total $4.20 more than his nickels. His quarters total $4.75 more than his dimes. The total value of the coins

katrin [286]

Answer: he has 23 quarters, 31 nickels and 10 dimes.

Step-by-step explanation:

The worth of a quarter is 25 cents. Converting to dollars, it becomes

25/100 = $0.25

The worth of a nickel is 5 cents. Converting to dollars, it becomes

5/100 = $0.05

The worth of a dime is 10 cents. Converting to dollars, it becomes

10/100 = $0.1

Let x represent the number of quarter that he has.

Let y represent the number of nickels that he has.

Let z represent the number of dimes that he has

Steven's quarters total $4.20 more than his nickels. This means that

0.25x = 0.05y + 4.2

Dividing through by 0.05, it becomes

5x = y + 84

y = 5x - 84-- - - - - - - - - -1

His quarters total $4.75 more than his dimes. This means that

0.25x = 0.1z + 4.75

Dividing through by 0.1, it becomes

2.5x = z + 47.5

z = 2.5x - 47.5- - - - - - - - - -2

The total value of the coins is $8.30. This means that

0.25x + 0.05y + 0.1z = 8.3- - - - - - -3

Substituting equation 1 and equation 2 into equation 3, it becomes

0.25x + 0.05(5x - 84) + 0.1(2.5x - 47.5) = 8.3

0.25x + 0.25x - 4.2 + 0.25x - 4.75 = 8.3

0.75x - 8.95 = 8.3

0.75x = 8.3 + 8.95 = 17.25

x = 17.25/0.75

x = 23

Substituting x = 23 into equation 1, it becomes

y = 5 × 23 - 84

y = 31

Substituting x = 23 into equation 2, it becomes

z = 2.5 × 23 - 47.5

z = 10

5 0

3 years ago