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Lorico [155]
3 years ago
13

An artist wants to make a particular teal color paint by mixing a 75% blue hue and 25% yellow hue. He mixes a blue hue that has

85% pure blue pigment and a yellow hue that has 60% of pure yellow pigment. What is the percent of pure pigment that is in the resulting teal color paint?
Mathematics
1 answer:
Trava [24]3 years ago
4 0
Answer:
Let p represent the teal color paint.
(0.75 × 0. 85p) + (0. 25 × 0.6p) = 0.7875p 78.75% of pure pigment is in the resulting teal color paint.
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In the following picture, (QS) ̅ and (PR) ̅ are chords of the circle. Find the length of QS. (Remember to show formulas/equation
Inessa [10]
<h3>Answer: QS is 37 units long</h3>

=========================================

Explanation:

PN = 24 and NR = 14 are pieces of the chord PR. The two pieces multiply to some value. At the same time, the other two pieces QN = 21 and NS = 2x-4 also multiply to that same value. In short, the chord pieces multiply to the same number. This is known as the intersecting chord theorem.

PN*NR = QN*NS

24*14 = 21*(2x-4)

336 = 42x-84

336+84 = 42x-84+84 .... add 84 to both sides

420 = 42x

42x = 420

42x/42 = 420/42 ...... divide both sides by 42

x = 10

We know that x = 10 so we can use it to find the length of NS

NS = 2x-4

NS = 2*10-4

NS = 20-4

NS = 16

Therefore,

QS = QN + NS

QS = 21 + 16

QS = 37

--------

note: as a check,

PN*NR = QN*NS

24*14 = 21*16

336 = 336

we get a true equation, so we have the proper values

4 0
3 years ago
A line contains the points (30, 1) and (39, 4). Find the slope of the line?
satela [25.4K]

Answer:

Rise/Run

4-1/39-30

3/9

<u>1/3 Is the slope</u>

3 0
3 years ago
Read 2 more answers
A rePrism measures 6.7 cm by 3.2 cm by 9 cm what is the volume of the rectangle prism
Blizzard [7]

Answer:

The volume is 192.96

Step-by-step explanation:

You multiply length x width x height to find the volume.

6 0
3 years ago
PLEASE HELPPPPPP<br>what is a semicirles permitier if the diameter is 4​
trapecia [35]

The straight edge of the semicircle is 4 units, as this is this the diameter.

The circumference of the full circle is

C = pi*d = pi*4 = 4pi

which is the distance around the full circle (aka circle's perimeter)

So half of this is 4pi/2 = 2pi

Add this onto the straight edge length to get 4+2pi as the exact distance around the entire semicircle. This includes both straight and curved portions.

If you use the approximation pi = 3.14, then 4+2*pi = 4+2*3.14 = 10.28 is the approximate answer. To get a more accurate answer, use more decimal digits in pi.

---------------------------------------------------------

In summary,

exact answer in terms of pi is  4+2pi units

approximate answer is roughly 10.28 units (using pi = 3.14)

6 0
3 years ago
Anyone good at composite functions??
sammy [17]

\bf \begin{cases} ~\hfill f(x) = &-3x+4\\ ~\hfill g(x) = &x^2\\ (g \circ f)(0)=&g(~~f(0)~~) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ f(0) = -3(0)+4\implies \boxed{f(0) = 4} \\\\\\ g(~~f(0)~~)\implies g\left( \boxed{4} \right) = (4)^2\implies \stackrel{(g \circ f)(0)}{g(4)} = 16

6 0
3 years ago
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