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AnnyKZ [126]
4 years ago
13

A grocery store manager uses 1/2 crate of apples for every 3/4 crate if oranges in a fruit display. How many crates of oranges w

ill she need if she uses 2 1/2 crates of apples?
Mathematics
1 answer:
ludmilkaskok [199]4 years ago
8 0

Answer:

15/4

Step-by-step explanation:

This is a proportion question

It says 1/2 crates of apple are used for every 3/4 crates of oranges

For 5/2 crates of apple, x crates of oranges will be needed.

To get x, we simply multiply 1/2 by x and equate it to 3/4 multiplied by 5/2

This means: 0.5x = 0.75 × 2.5

x = ( 0.75 × 2.5 ) ÷ 0.5 = 3.75

Hence for 5/2 crates for apple, she will need 15/4 crates of oranges.

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Leokris [45]

A) The solution (x,y) is (9,-2).

B) The solution (x,y) is (6, -1/2).

C) The solution (x,y) is (-5,2).

D) The solution (x,y) is (1, -10).

<u>Step-by-step explanation:</u>

A) x+y=7 and x+2y=5

Subtract the second equation from the first equation.

 x+y = 7

-(<u>x+2y = 5</u>)

 <u>   -y  = 2</u>

⇒ y = -2

The value of y is -2.

Substitute y= -2 in any of the equation.

⇒ x + (-2) = 7

⇒ x = 7+2

⇒ x = 9

The value of x is 9.

The solution (x,y) is (9,-2).

B) x+2y=5 and x-2y=7

Add both the equations.

x + 2y = 5

<u>x - 2y = 7 </u>

<u> 2x     = 12</u>

⇒ x = 12/2

⇒ x = 6

The value of x is 6.

Substitute x= 6 in any of the equations.

⇒ 6 + 2y = 5

⇒ 2y = 5-6

⇒ 2y = -1

⇒ y = -1/2

The value of y is -1/2.

The solution (x,y) is (6, -1/2).

C) x+4y=3 and -x+y=7

Add both the equations.

x + 4y = 3

<u>-x + y = 7 </u>

<u>    5y = 10</u>

⇒ y = 10/5

⇒ y = 2

The value of y is 2.

Substitute y=2 in any of the equations.

⇒ -x + 2 = 7

⇒ -x = 7-2

⇒ -x = 5

⇒ x = -5

The value of x is -5.

The solution (x,y) is (-5,2).

D) 5x-2y=25 and 4x-2y=24

Subtract the second equation from the first equation.

  5x - 2y = 25

- (<u>4x - 2y = 24</u>)

   <u>  x        = 1  </u>

The value of x is 1.

Substitute x=1 in any of the equations.

⇒ 5(1) - 2y = 25

⇒ 5 -2y = 25

⇒ -2y = 25-5

⇒ -2y = 20

⇒ y = -20/2

⇒ y = -10.

The value of y is -10.

The solution (x,y) is (1, -10).

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How do you find the quotient of -4.8 divided by 0.6
Dafna11 [192]

Answer:

Step-by-step explanation:

− 4.8 /0.6 =−8

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4 years ago
Find the area of the shaded region in the figure below, if the radius of the outer circle is 4 and the radius of the inner circl
denis-greek [22]

TheThe  area of the shaded region  if the radius of the outer circle is 4 and the radius of the inner circle is 2 is 12π.

<h3>Area of the shaded region</h3>

Area of a circle = πr²

r =radius of the circle

Area of the outer circle:

Area of the outer circle = π(4)²

Area of the outer circle = 16π

Area of the inner circle:

Area of the inner circle = π (2)²

Area of the inner circle = 4 π

Area of the shaded Region :

Area of the shaded Region = 16π - 4 π

Area of the shaded Region = 12π

Therefore the  area of the shaded region  if the radius of the outer circle is 4 and the radius of the inner circle is 2 is 12π.

Learn more about area of the shaded region here: brainly.com/question/19577281

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5 0
2 years ago
Please answer CORRECTLY !! Will mark brainliest !!!!!
Karolina [17]

Answer:

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FromTheMoon [43]

Answer:

dependent and 1.26

Step-by-step explanation:

These two individual events are dependent on each other as first they draw it and then instant they eat two red candy pieces

Now the probability of the combined event is as follows

P(Probability of combined event)  is

= P(Event 1) \times P \frac{Event 2}{Event 1}

= \frac{55}{49} \times \frac{54}{48}

= 1.122 \times 1.125

= 1.26

We simply applied the above formula so that we can get the dependency or independency plus the probability of the combined event

                       

5 0
3 years ago
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