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Kisachek [45]
3 years ago
15

A mixture of green paint requires 3/4 pint yellow paint and 2/5 pint blue paint. How many pints of yellow paint will be needed i

f the mixture contains one pint of blue paint
Mathematics
1 answer:
katrin2010 [14]3 years ago
4 0

Answer:

1\frac{7}{8}

Step-by-step explanation:

Given:

A mixture of green paint requires 3/4 pint yellow paint and 2/5 pint blue paint.

Question asked:

How many pints of yellow paint will be needed if the mixture contains one pint of blue paint ?

Solution:

We will easily find quantity of yellow paint, will be needed in the mixture, contains one pint of blue paint by using unitary method:

By using \frac{2}{5} \ pint blue paint, yellow paint requires = \frac{3}{4} \ pint

By using 1 pint blue paint, yellow paint requires = \frac{3}{4} \div\frac{2}{5} \\

                                                                               =\frac{3}{4} \times\frac{5}{2} \\\\ =\frac{15}{8} \\\\ =1\frac{7}{8} \ pint

Thus, 1\frac{7}{8} pint yellow paint requires in the mixture with one pint of blue paint.

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Find the difference of the LCM and the GCF of 12 & 32
larisa [96]

Answer:

92

Step-by-step explanation:

LCM = 96

12 = 4×3

32 = 4 × 8

then GCF = 4

LCM - GCF = 96 - 4 = 92

7 0
3 years ago
Please help. Offering all the points I have.
Simora [160]

The most specific name of the quadrilateral that's is drawn in the picture is a rhombus.

<h3>What is a rhombus?</h3>

It should be noted that a rhombus simony means a quadrilateral that has four sides and the total angles are 360°.

Also, from the information given, it can be depicted that the lengths are congruent and that the opposite sides are parallel.

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8 0
2 years ago
Function (A or B) has the greater initial value because the initial value for function A is _ and the initial value for Function
Volgvan

Answer:

Function B has the greater initial value because the initial value for function A is 4 and the initial value for Function B is 5

Step-by-step explanation:

  • <em>The initial value of a function is the output value of the function when the input value is 0</em>

Initial value of A is y=4 at x=0,

and

initial value of B is y=0*6+5= 5 at x=0

Function B has the greater initial value because the initial value for function A is 4 and the initial value for Function B is 5

5 0
3 years ago
Max makes and sells posters. The function p(x)= -10x^2 +200x -250, graphed below, indicates how much profit he makes in a month
viktelen [127]
Here is our profit as a function of # of posters
p(x) =-10x² + 200x - 250
Here is our price per poster, as a function of the # of posters:
pr(x) = 20 - x
Since we want to find the optimum price and # of posters, let's plug our price function into our profit function, to find the optimum x, and then use that to find the optimum price:
p(x) = -10 (20-x)² + 200 (20 - x) - 250
p(x) = -10 (400 -40x + x²) + 4000 - 200x - 250
Take a look at our profit function. It is a normal trinomial square, with a negative sign on the squared term. This means the curve is a downward facing parabola, so our profit maximum will be the top of the curve.
By taking the derivative, we can find where p'(x) = 0 (where the slope of p(x) equals 0), to see where the top of profit function is.
p(x) = -4000 +400x -10x² + 4000 -200x -250
p'(x) = 400 - 20x -200
0 = 200 - 20x
20x = 200
x = 10                         
p'(x) = 0 at x=10. This is the peak of our profit function. To find the price per poster, plug x=10 into our price function:
price = 20 - x
price = 10
Now plug x=10 into our original profit function in order to find our maximum profit:
<span>p(x)= -10x^2 +200x -250
p(x) = -10 (10)</span>² +200 (10) - 250
<span>p(x) = -1000 + 2000 - 250
p(x) = 750

Correct answer is C)
</span>
7 0
3 years ago
How many solutions does the equation y=3x+2 have? *
tester [92]

Answer:

sadasdsdfliygsadluhgasda

Step-by-step explanation:

asdasdasdasdas

sdasdaskudygasligdliausgldiuhgal;siughdliasd

5 0
2 years ago
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