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gtnhenbr [62]
2 years ago
11

Marco sews pillow and comforter sets. Each set has 2 pillows and 1 comforter. He uses 0.75 yards of material for each pillow and

13 yards of material for each comforter. How many yards of material does he need for 4 sets of pillows and comforters?
Mathematics
2 answers:
Slav-nsk [51]2 years ago
8 0

Answer:

Marco would need 58 yards of material

Aliun [14]2 years ago
4 0

Answer:

He would need 58 yards of material.

Step-by-step explanation:

If there are 4 sets of pillows and comfoters, that means there are 8 pillows and 4 comfoters.

If each pillow uses 0.75 yards of material, 8x0.75= 6

If each comfoters uses 13 yards of material, 4x13= 52

6+52= 58 yards of material.

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30 : 48 as a ratio in simplest form
umka21 [38]
The answer is either 10:16 or 5:8
5 0
3 years ago
Read 2 more answers
Bob discovers a box with 30 identical, used, rechargeable batteries in his attic.
monitta

Answer:

a) All of them are out of charge = 9.31x10⁻¹⁰

b) 20% of them are out of charge = 5.529x10⁻⁴

Step-by-step explanation:

This problem can be modeled as a binomial distribution since

There are n repeated trials and all of them are independent of each other.

There are only two possibilities: battery is out of charge and battery is not out of charge.

The probability of success does not change with trial to trial.

Since it is given that it is equally likely for the battery to be out of charge or not out of charge so probability of success is 50% or 0.50

P = 0.50

1 - P = 0.50

a) All of them are out of charge?

Probability = nCx * P^x * (1 - P)^n-x

Probability = ₃₀C₃₀(0.50)³⁰(0.50)⁰

Probability = 9.31x10⁻¹⁰

b) 20% of them are out of charge?

0.20*30 = 6 batteries are out of charge

Probability =₃₀C₆(0.50)²⁴(0.50)⁶

Probability = 5.529x10⁻⁴

5 0
3 years ago
According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function f(x)=(4x3−13x+11)3?
trapecia [35]

Answer:

9.

Step-by-step explanation:

The highest power is 3*3 = 9, so it's 9.

7 0
3 years ago
The figures are similar. The ratio of the perimeters is 8 : 5. Find X
vova2212 [387]

Answer:

Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.

3 0
3 years ago
Find the distance and the midpoint of the line segment with endpoints (-1,4) and (-5,3)
Marina CMI [18]

Answer:

see explanation

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 1,4) and (x₂, y₂ ) = (- 5, 3)

d = \sqrt{(-5+1)^2+(3-4)^2}

  = \sqrt{(-4)^2+(-1)^2}

  = \sqrt{16+1} = \sqrt{17} ≈4.12 ( to 2 dec. places )

To find the midpoint use the midpoint formula

[0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]

Using the same points as above then

midpoint = [0.5(- 1- 5), 0.5(4 + 3 ) ] = [0.5(- 6), 0.5(7) ] = (- 3, 3.5 )

4 0
3 years ago
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