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2 years ago

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A certain shade of paint is made by mixing 5 parts blue paint with 2 parts white paint. To get the same shade of paint how much

white paint should be mixed with 8.5 quarts of blue paint?

1 answer:

FrozenT [24]2 years ago

6 0

Answer:

5 parts blue + 2 parts white = certain color

8.5 parts blue (= 5 /5 *8.5)

so we will need 2 /5 *8.5 = 3.4 parts white

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6) Two coastguard stations P and Q are 17km apart, with due East of P. A ship S is observed in distress on a bearing 048° fromP

adelina 88 [10]

Answer:

The ship S is at 10.05 km to coastguard P, and 12.70 km to coastguard Q.

Step-by-step explanation:

Let the distance of the ship to coastguard P be represented by x, and its distance to coastguard Q be represented by y.

But,

<P = 048°

<Q = $360^{o}$ - $324^{o}$

= 0 $36^{o}$

Sum of angles in a triangle = $180^{o}$

<P + <Q + <S = $180^{o}$

048° + 0 $36^{o}$ + <S = $180^{o}$

$84^{o}$ + <S = $180^{o}$

<S = $180^{o}$ - $84^{o}$

= $96^{o}$

<S = $96^{o}$

Applying the Sine rule,

$\frac{y}{Sin P}$ = $\frac{x}{Sin Q}$ = $\frac{z}{Sin S}$

$\frac{y}{Sin P}$ = $\frac{z}{Sin S}$

$\frac{y}{Sin 48^{o} }$ = $\frac{17}{Sin 96^{o} }$

$\frac{y}{0.74314}$ = $\frac{17}{0.99452}$

⇒ y = $\frac{12.63338}{0.99452}$

= 12.703

y = 12.70 km

$\frac{x}{Sin Q}$ = $\frac{z}{Sin S}$

$\frac{x}{Sin 36^{o} }$ = $\frac{17}{Sin 96^{o} }$

$\frac{x}{0.58779}$ = $\frac{17}{0.99452}$

⇒ x = $\frac{9.992430}{0.99452}$

= 10.0475

x = 10.05 km

Thus,

the ship S is at a distance of 10.05 km to coastguard P, and 12.70 km to coastguard Q.

6 0

3 years ago

Explain why an inverse variation function is not the best model for the data set?

ser-zykov [4K]

Answer:

Step-by-step explanation:

- The products of corresponding x- and y- values of an inverse variation function are constant.

- As x increases, y also increases.

-The product of the coordinate pairs are not equal: (165)(198)=32,670 and (170)(204)=34,680

7 0

2 years ago

Which is the graph of y= -x + 2?<br><br> A<br> B<br> C<br> D

Vladimir [108]

Answer:

hdhdjdkjfhfhdodjdbhddkdjdbhdjdodjdjjdnfnn

6 0

2 years ago

Read 2 more answers

A piece of space junk travels 5 miles in 8 seconds. How far does it travel per second?

Mrrafil [7]

Answer:

1.6 Miles

Step-by-step explanation:

A piece of space junk would travel 1.6 miles per second.

--Divide--

8 ÷ 5 = 1.6

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20-%20y%20%3D%20%5Cfrac%7B2%7D%7B5%7Dx%20-%203" id="TexFormula1" title=" - y = \frac{2}{5}x -

raketka [301]

The first step to solving this equation is to change the signs on both sides of the equation
y = - $\frac{2}{5}$ x + 3
Since we don't know what x is but we do know why y is,, we will write our answer with the answer to y and x being left as undefined.
y = - $\frac{2}{5}$ x + 3, x ∈ R
Let me know if you have any further questions
:)

5 0

3 years ago