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3 years ago

5

Matthew made a fruit salad, in which the ratio of blueberries to red grapes is 8:6. Write the ratio of red grapes to blueberries

in simplest form.

1 answer:

Gemiola [76]3 years ago

3 0

The simplest ration form is 4 to 3 or 4:3

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If the endpoints of the diameter of a circle are (−14, 4) and (−2, 0), what is the standard form equation of the circle? a) (x −

Stels [109]

The answer to this question is 10

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3 years ago

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According to the census data, in 2014 about 126 million adults in the United States were women, which is about 51.4% of the tota

jeka57 [31]

Answer:

245.1361868

Step-by-step explanation:

126 51.4

___ = ____ 126x100=12600 12600/51.4=245.1361868

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3 years ago

Which is f(5) for the function -2x2 + 2x - 3?

Schach [20]

The value of f(5) is -37

<em><u>Solution:</u></em>

<em><u>Given function is:</u></em>

$f(x) = -2x^2+2x+3$

We have to find the value of f(5)

To find the value of f(5), we have to substitute x is equal to 5 in given function

Plug in x = 5 in f(x)

$f(x) = -2x^2+2x+3\\\\f(5) = -2(5)^2+2(5) + 3\\\\\text{Simplify the above expression }\\\\f(5) = -2(25) + 10 + 3\\\\\text{Solve the above expression }\\\\f(5) = -50 + 10 + 3\\\\f(5) = -40 + 3 = -37$

Thus value of f(5) is -37

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3 years ago

Show all relevant steps.

Usimov [2.4K]

The answer is A hope this helps!

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3 years ago

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu

IgorC [24]

Answer:

$\frac{1}{9}$

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

$\sqrt{xy}$

The Arithmetic mean is

$\frac{x + y}{2}$

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

$\frac{ \sqrt{xy} }{ \frac{x + y}{2} } = \frac{3}{5}$

We can write the equation;

$\sqrt{xy} = 3$

or

$xy = 9 - - - (2)$

l

and

$\frac{x + y}{2} = 5$

or

$x + y = 10 - - - (2)$

Make y the subject in equation 2

$y = 10 - x - - - (3)$

Put equation 3 in 1

$x(10 - x) = 9$

$10x - {x}^{2} = 9$

${x}^{2} - 10x + 9 = 0$

$(x - 9)(x - 1) = 0$

$x =1 \: or \: 9$

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

$\frac{1}{9}$

3 0

2 years ago