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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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In parallelogram abcd, ab=14, bc=20, m(angle)b=54. Find to the nearest tenth the length of diagonal bd, and find measure angle d
muminat
It is is a parallelogram, hence we have to face sides equal in length and the opposite angles are also the same. From the given above we have:
ab=14 and its opposite side cd=14
bc=20 and its opposite side da=20

Solving for the diagonal measurement bd, we have consecutive angles are equal to 180°
∠A+∠B=180°
∠A=180°-54°
∠A=126° , ∠B=54° ,∠C=126° and ∠D=54°
bd²=ab²+da²-2(ab)(da)cos126°
bd²=14²+20²-2*14*20cos126°
bd=30.42 unit

Solving for the angle dbc, we have
cos dbc=bc²+bd²-cd²/a*bc*bd
cos dbc=20²+30.42²-14²/2*20*30.42
dbc=21.76° 
3 0
3 years ago
Solve for X: -2(x+3)=-2(x+1)-4
vodomira [7]

Answer:

All real numbers are solutions.

Step-by-step explanation:

3 0
3 years ago
A block of wood 3.0 cm on each side and has a mass of 27 g. What is the density of this block.
Sidana [21]
The density is 1g/cm³. To calculate density, the equation density=mass/volume is used. You already know the mass, 27g, but you need the volume. The equation for volume is length x width x height. Plug in your side measure 3, to get 3 x 3 x 3, which is 27cm³. Now, just divide the mass by the volume. 27g/27cm³= 1g/cm³
8 0
3 years ago
On the first visit to the veterinarian's office, Cora's kitten weighed 550 grams. On the second visit, the kitten had gained 350
STALIN [3.7K]

Answer:

Step-by-step explanation:

total increase=350+300=650

percentage~increase=\frac{650}{550} *100\\\approx 118.18 %%

7 0
3 years ago
Triangle A B C is shown. The length of B C is 6 and the length of A B is 2 StartRoot 2 EndRoot. Angle A B C is 80 degrees. Trigo
lawyer [7]

Answer:

8.4 square units

Step-by-step explanation:

See attachment for the figure.

Trigonometric area formula is Area =\frac{1}{2}\times absin(C)

Where a and b are two sides of the triangle and C is the angle between these two sides.

Given:

side a = 6 units, c = 2√2 units and ∠B = 80°

Then area of the triangle :

Area = \frac{1}{2}\times acsin(B)

       = \frac{1}{2}\times acsin(B)

       = \frac{1}{2}\times 6\times 2\sqrt{2}\times sin(80)

       = 6√2×sin80°

       = 6×(1.414)×0.9848

       = 8.36 square units

       ≈ 8.4 square units

6 0
3 years ago
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