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Ivan
3 years ago
6

Several paint mixtures are made by mixing blue paint and white paint. Paint Colors Blue Paint White Paint Mixture A 5 cups 12 cu

ps Mixture B 6 cups 6 cups Mixture C 4 cups 12 cups Mixture D 5 cups 6 cups Which mixture has the lowest ratio of blue paint to white paint? mixture A mixture B mixture C mixture D
Mathematics
2 answers:
Nesterboy [21]3 years ago
5 0

Answer:

The mixture C is the correct option

Step-by-step explanation:

According to the given scenario, the calculation is as follows:

For Mixture A

Blue Paint - 5 cups

White Paint - 12 cups

The ratio between them is 5:12

For Mixture B

Blue Paint - 6 cups

White Paint - 6 cups

 The ratio between them is 6:6 = 12:12

It came by multiply the numerator and denominator by 12

For Mixture C

Blue Paint - 4 cups

White Paint - 12 cups

 The ratio between them is 4:12

For Mixture D

Blue Paint - 5 cups

White Paint - 6 cups

 The ratio between them is 5:6 = 10:12

It came by multiply the numerator and denominator by 12

As it can be seen that in all four mixtures the denominator is the same so for calculating the lowest ratio we have to see the small value in the numerator

As it can be seen that there is a small value of 4

hence, the mixture C is the correct option

enot [183]3 years ago
5 0

Answer:

C mixture

Step-by-step explanation:

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3 years ago
Solve GHI. Round the answer to the nearest hundredth.
Sedaia [141]

Answer:

Part 1) HI=15\ units

Part 2)

Part 3) < I=28.07\°

The answer is the option A

Step-by-step explanation:

Part 1) Find the measure of side HI

Applying the Pythagoras Theorem

GI^{2} =GH^{2}+HI^{2}

substitute the values and solve for HI

17^{2} =8^{2}+HI^{2}

HI^{2}=17^{2}-8^{2}

HI^{2}=225

HI=15\ units

Part 2) Find the measure of angle G

In the right triangle GHI

cos(G)=\frac{GH}{GI}

substitute the values

cos(G)=\frac{8}{17}

G=arccos(\frac{8}{17})=61.93\°

Part 3) Find the measure of angle I

Remember that

The sum of the interior angles of a triangle must be equal to 180 degrees

so

substitute the values

61.93\°+90\°+< I=180\°

< I=180\°-(61.93\°+90\°)=28.07\°

7 0
4 years ago
Find the number of DEGREES rotated in a circle of radius 6 inches if an arc is created with a length of 11(pi) inches
artcher [175]

Radius = 6 inches

Arc lenght = 11pi inches

Degrees ?

Arc lenght = radius x angle in radians

A = r * a

Solving for a:

a = A/r = 11pi/6 = 5.759586532 radians

5.759586532 to degrees ==> a = 330 degrees

Answer:

330 degrees

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1 year ago
Use a truth table to verify the first De Morgan law (p ∧ q)’ ≡ p’ ∨ q’.
Nutka1998 [239]

Answer:

(p ∧ q)’ ≡ p’ ∨ q’

Step-by-step explanation:

First, p and q have just four (4) possibilities, p∧q is true (t) when p and q are both t.

p ∧    q

t t t

t f f

f f t

f f f

next step is getting the opposite

(p∧q)'

    <em>f</em>

<em>     t</em>

<em>     t</em>

<em>     t</em>

Then we get p' V q', V is true (t) when the first or the second is true.

p' V  q'

f  <em>f</em>  f

f  <em>t</em>  t

t  <em>t</em>  f

t  <em>t</em>  t

Let's compare them, ≡ is true if the first is equal to the second one.

(p∧q)'   ≡     (p' V q')

    <em>f              f </em>

<em>     t              t</em>

<em>     t              t</em>

<em>     t              t</em>

Both are true, so

(p ∧ q)’ ≡ p’ ∨ q’

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