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yan [13]
3 years ago
10

A fruit stand has 28 apples, 20 oranges, and 12 pears. What is the ratio of apples to the total pieces of fruit?

Mathematics
1 answer:
ruslelena [56]3 years ago
5 0
Data:
Apples = 28
Oranges = 20
Pears = 12

<span>What is the ratio of apples to the total pieces of fruit?
Solving:
</span>\frac{apples}{apples+oranges+pears} =  \frac{28}{28+20+12} =  \frac{28}{60} \frac{\div4}{\div4} \to\:\boxed{\boxed{ratio = \frac{7}{15}}}\end{array}}\qquad\quad\checkmark<span>
</span>
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((5x-16) cubed -4)cubed = 216,000X = _________
Lemur [1.5K]

Given the equation:

((5x-16)^3-4)^3=216000

Applying the exponent laws:

\begin{gathered} \sqrt[3]{((5x-16)^3-4)^3}=\sqrt[3]{216000} \\ (5x-16)^3-4=60 \end{gathered}

Simplify:

\begin{gathered} (5x-16)^3-4+4=60+4 \\ (5x-16)^3=64 \end{gathered}

Applying the exponent laws:

\begin{gathered} \sqrt[3]{(5x-16)^3}=\sqrt[3]{64} \\ Simplify \\ 5x-16=4 \\ 5x-16+16=4+16 \\ 5x=20 \\ \frac{5x}{5}=\frac{20}{5} \\ x=4 \end{gathered}

Answer: x = 4

4 0
2 years ago
Suzanne bought 50 apples. She bought 4 times as many red apples as green apples. How many more red apples than green apples did
Luda [366]
Suzanne bought 40 more apples?
8 0
4 years ago
Read 2 more answers
1.
Diano4ka-milaya [45]
Part A)  x cannot be 1 or 0, because that would lead do division by 0.  If x=1, 1-1=0.  If x=0, then we have straight division by 0.

Part B)  x=2 or x=1.

Together they could clean the house in 3.75 hours.

Explanation:

Part A is explained with the answer.
Part B)
\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}
We will first multiply each term by (x-1) to cancel those denominators:
\frac{1}{x-1} \times \frac{x-1}{1}+\frac{2}{x} \times \frac{x-1}{1}=\frac{x}{x-1} \times \frac{x-1}{1}&#10;\\&#10;\\ \frac{x-1}{x-1}+\frac{2(x-1)}{x}=\frac{x(x-1)}{x-1}&#10;\\&#10;\\ 1+\frac{2(x-1)}{x}=x

Now we multiply everything by x to cancel that denominator:
1(x)+\frac{2(x-1)(x)}{x}=x(x)&#10;\\&#10;\\x+2(x-1)=x^2&#10;\\&#10;\\x+2*x-2*1=x^2&#10;\\x+2x-2=x^2&#10;\\3x-2=x^2

We want all of the variables to be on the same side of the equation, so subtract 3x from both sides:
3x-2-3x=x²-3x
-2=x²-3x

To solve quadratics, we set them equal to 0.  Add 2 to both sides to make this happen:
-2+2=x²-3x+2
0=x²-3x+2

To solve this by factoring, we want factors of 2 that sum to -3.  -2(-1)=2 and -2+-1=-3:
0=(x-2)(x-1)

The zero product property tells us that either x-2=0 or x-1=0; therefore x=2 or x=1.

Max cleans 1/10 of the house in an hour, since it takes him 10 hours to clean the whole house.  Maggie cleans 1/6 of the house in an hour, since it takes her 6 hours to clean the whole house.  Our equation is then:

1/10x+1/6x=1 (one whole, since it is one house; x is the number of hours)

Find a common denominator.  60 is the first thing that 10 and 6 both evenly divide into:
6/60x+10/60x=1
16/60x = 1

Divide both sides by 16/60:

16/60x ÷ 16/60 = 1 ÷ 16/60
x = 1/1 ÷ 16/60
x = 1/1 ×60/16
x = 60/16 = 3.75.
5 0
3 years ago
Read 2 more answers
Use a graph of the function to explain the geometric meaning of the value of the integral.
ololo11 [35]

General Idea:

The definite integral of a function f(x) from a to b is given below:

A=\int\limits^b_a {f(x)} \, dx

Here geometrically, the value of integral A is the area under the curve f(x) from x = a to x = b

4 0
4 years ago
You decide to make a beanbag in the shape of a sphere with a diameter of 120 millimeters. You will need to find the volume to kn
Damm [24]

Answer:

The volume is 904,320\ mm^{3}

Step-by-step explanation:

we know that

The volume of the sphere is equal to

V=\frac{4}{3}\pi r^{3}

we have

r=120/2=60\ mm ----> the radius is half the diameter

\pi=3.14

substitute the values

V=\frac{4}{3}(3.14)(60)^{3}=904,320\ mm^{3}

7 0
4 years ago
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