Answer:
7 1/2 quart of paint
Step-by-step explanation:
To get the correct color, Johan mixed 3 1/4 quart of white paint, 1 2/4 quart of blue paint, and 2 3/4 quart of green paint. How much paint did Johan make? *
The above question is solved as:
3 1/4 quart + 1 2/4 quart + 2 3/4 quart
Lowest common denominator = 4
3 + 1 + 2 + ( 1/4 + 2/4 + 3/4)
= 6 + ( 1 + 2 + 3/4)
=( 6 + 6/4) quart
= 6 + 1 2/4 quart
= 7 2/4 quart of paint
= 7 1/2 quart of paint
Therefore, Johan made 7 1/2 quart of paint
This requires 2 pints of oil.
Using a proportion to solve this, we have:
Cross multiplying, we have
1/2*10 = (2 1/2)*x
5 = (2 1/2)x
Divide both sides by 2 1/2:
5÷(2 1/2) = (2 1/2)x÷(2 1/2)
2 = x
Answer: is one orange x tile five blue types x-5
Step-by-step explanation:
<h3>Answer: angle T = 70</h3>
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Work Shown:
Quadrilateral RSTU is a kite. In geometry, any kite has two pairs of adjacent congruent sides. In this case, RU = RS is one pair of adjacent congruent sides (single tickmarks), while TU = TS is the other pair of adjacent congruent sides (double tickmarks).
Draw diagonal line segment TR. This forms triangles TUR and TSR.
Through the SSS (side side side) congruence theorem, we can prove that the two triangles TUR and TSR are congruent.
Then by CPCTC (corresponding parts of congruent triangles are congruent), we can say,
angle U = angle S = 90
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Re-focus back on quadrilateral RSTU (ignore or erase line segment TR). The four angles of any quadrilateral will always add to 360 degrees. Let x be the measure of angle T.
(angleU)+(angleR)+(angleS)+(angleT) = 360
90+110+90+x = 360
290+x = 360
290+x-290 = 360-290 ... subtract 290 from both sides
x = 70
<h3>angle T = 70</h3>
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First Box:
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Volume of teh box = 3 x 4 x 6 = 72 cm³
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Clay per cm³
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72cm³ = 50g of clay.
1 cm³ = 25/36g of clay.
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Second box :
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Length = 6cm
Width = 3 x 4 = 12cm
Height = 3 x 2 = 6m
Volume = 6 x 12 x 6 = 432 cm³
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Find Volume of clay :
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1 cm³ = 25/36 g
432 cm³ = 25/36 x 432 = 300g
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Answer: 300g of clay
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