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ale4655 [162]
3 years ago
10

Sally is making a painting for which she is mixing red paint and blue paint. The table above shows the different mixtures being

used.
Question 1) What is the unit rate? (Blue paint to red paint)

Question 2) Is it proportional? Explain.

Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
8 0
1 1/2 - 2 1/2 is 3/2:5/2     or a 3:5 ratio
2 2/5 - 4       is 12/5:20/5 or a 3:5 ratio
3 3/4 - 6 1/4 is 15/4:25/4 or a 3:5 ratio
4       - 6 2/3 is 12/3:20/3 or a 3:5 ratio
1.2- 2       if divided by .4 is a 3:5 ratio
1.8-3        if divided by .6 is a 3:5 ratio
the unit rate is 3:5
Since all units are 3:5 it is proportional
Archy [21]3 years ago
8 0

Answer:

It could be said that 1.67 quarts of blue paints is mixed with 1 quart of red paint.

Step-by-step explanation:

We are given the following information in the question:

Unit rate:

  • A rate is a ratio that is used to compare different kinds of quantities.
  • A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

\text{Unit Rate} = \displaystyle\frac{\text{Parts of blue}}{\text{Parts of red}} = \frac{3}{1.8} = \frac{1.67}{1}

Thus, it could be said that 1.67 quarts of blue paints is mixed with 1 quart of red paint.

Yes, it is proportional because every time the paints are mixed in accordance to the given unit rate.

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Step-by-step explanation:

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What type of number cannot be written as a fraction P over Q where P Inc. you are integers and Q is not equal to zero
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5 0
3 years ago
Maria has recently retired and requested an extra ​$444.00 per year in income. She has $ 5400 to invest in an​ A-rated bond that
Dimas [21]

Answer:

$2400 in A rated bond and $3000 in B rated bond.

Step-by-step explanation:

We have been given that Maria has recently retired and requested an extra ​$444.00 per year in income.

We can represent this information in an equation as:

A+B=5400...(1)

She has $5400 to invest in an​ A-rated bond that pays 10% per annum or a​ B-rated bond paying 6% per annum.

0.10A+0.06B=444...(2)

From equation (1), we will get:

A=5400-B

Substitute this value in equation (2):

0.10(5400-B)+0.06B=444

540-0.10B+0.06B=444

540-0.04B=444

540-540-0.04B=444-540

-0.04B=-96

\frac{-0.04B}{-0.04}=\frac{-96}{-0.04}

A=2400

Therefore, Maria should invest $2400 in A-rated bond.

Substitute A=2400 in equation (1):

2400+B=5400

2400-2400+B=5400-2400

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Therefore, Maria should invest $3000 in B-rated bond.

6 0
3 years ago
Given the functions ƒ(x) and g(x), which of the following statements is true? x -2 -1 0 1 2 ƒ(x) -3 3 5 3 -3 g(x) = -x2 + 4x ƒ(x
Morgarella [4.7K]

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The correct option is 1.

Step-by-step explanation:

From the given table is notices that the function f(x) is a downward parabola.

The maximum value of f(x) is 5 at x=1.

The function g(x) is

g(x)=-x^2+4x

vertex of the parabola is

(\frac{-b}{2a}, g(\frac{-b}{2a}))

(\frac{-4}{2\times 1}, g(\frac{-4}{2\times 1})

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Put x=2.

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Therefore the vertex of g(x) is (2,4). The vertex of a downward parabola is the maximum point of the function.

Therefore ƒ(x) has the greater maximum. Option 1 is correct.

5 0
3 years ago
Find the solution(s) to 2x2 + 5x - 3 = 0. Check all that apply.
Alika [10]

Answer:

x= 1/2 and x= -3

Step-by-step explanation:

Let's solve your equation step-by-step.

2x2+5x−3=0

Step 1: Factor left side of equation.

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Step 2: Set factors equal to 0.

2x−1=0 or x+3=0

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1

2

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3 0
4 years ago
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