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Svetach [21]
3 years ago
14

. A painter mixes two and a half pints of yellow paint with 4 pints of red paint to make a certain shade of orange paint. How ma

ny pints of yellow paint should be mixed with 10 pints of red paint to make this shade of orange? Show your work.
Mathematics
1 answer:
spin [16.1K]3 years ago
5 0

Answer:

6

Step-by-step explanation:

A painter mixes 2 1/2 pints (2.5 pints) of yellow paint with 4 pints of red paint to make a certain shade of orange paint. The ratio of yellow paint to red paint is 2.5:4. In order to find the pints of yellow paint needed to be mixed with 10 pints of red paint, we will use conversion fractions.

10 red pints × (2.5 yellow pints/ 4 red pints) ≈ 6 pints (we round off to 1 significant figure)

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Today, a round-trip plane ticket from Los Angeles to New York costs $350. If the average annual inflation rate is 2.5%, how much
Brrunno [24]
Answer = 875

350 x 2.5 = 875
4 0
3 years ago
A first number plus twice a second number is 13 Twice the first number plus the second totals 35 Find the numbers.
Sophie [7]

Answer:  the first number is 19 and second number is -3

Step-by-step explanation:

Let the First number be represented as  x

and  second number be represented as  y

Therefore, A first number plus twice a second number is 13 be expressed as

x + 2y = 13-----equation 1

also  Twice the first number plus the second totals 35

2x+ y = 35---- equaton 2

Step 2 --- Solving

x + 2y = 13-----equation 1

2x+ y = 35---- equation 2

By substitution, making x subject of formulae in equation 1

x+ 2y = 13

x= 13 - 2y

putting the value of x= 13- 2y in equation 2

2( 13 - 2y) + y= 35

26 - 4y + y= 35

-4y + y= 35- 26

-3y= 9

y = 9/-3

y= -3

To Find x , using equation 1

x + 2y = 13

x+ 2 x -3= 13

x-6=13

x= 13+6

x= 19

Therefore the first number = 19 and the second number = -3

5 0
3 years ago
If f(x)=2x² +5√(x-2), complete the following statement:
myrzilka [38]

By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.

<h3>How to determine the domain of a function with radical components</h3>

Domain is the set of x-values such that the value of the function exists. By algebra we know that the domain of polynomials is the set of all <em>real</em> numbers, whereas the domain of <em>radical</em> functions is the set of x-values such that y ≥ 0. If we know that f(x) = 2 · x² + 5 · √(x - 2), then the domain is restricted by the <em>radical</em> component and defined by x ≥ 2.

By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.

To learn more on functions: brainly.com/question/12431044

#SPJ1

8 0
2 years ago
Question from my math test.
erastova [34]

Answer:

42

Step-by-step explanation:

3 0
3 years ago
Factor 3x^2 + 2x -18x - 12
soldier1979 [14.2K]
3x^2+ 2x -18x -12
= (3x^2+ 2x) -(18x+ 12)
= x(3x+ 2) -6(3x+ 2)
= (3x+2)(x-6)

Final answer: (3x+2)(x-6)
5 0
3 years ago
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