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scoray [572]
3 years ago
11

Expand and simplify 5(2a – c) + 4(3a + 2c)

Mathematics
2 answers:
SIZIF [17.4K]3 years ago
7 0
Uhhhhhhhhhhhhhhhhhhhuhhhhhhhhhhhhhh

klio [65]3 years ago
3 0

Answer:

22a+3c

Step-by-step explanation:

Answer:

22a + 3c

Step-by-step explanation:

Let's simplify step-by-step.

5(2a−c)+4(3a+2c)

Distribute:

=(5)(2a)+(5)(−c)+(4)(3a)+(4)(2c)

=10a+−5c+12a+8c

Combine Like Terms:

=10a+−5c+12a+8c

=(10a+12a)+(−5c+8c)

=22a+3c

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HELP FAST giving 5 stars
Murrr4er [49]

Answer:

The red is 1/3 and yellow is 1/4

Step-by-step explanation:

there are 3 colors and 1 of them is red so 1/3 same goes to the yellow 4 colors and  is 1 yellow so 1/4

3 0
3 years ago
3) Tara sold candles to raise money for new playground equipment at her school.
Ronch [10]

Answer:

Tara's current expression finds how much the school will be keeping. 50 x 2/5 (also written as 50 x 0.4) totals out as 20. $20 is 2/5 of $50. The expression that Tara SHOULD have written to find how much goes to the candle company would be 50 x 3/5 (also written as 50 x 0.6), as this adds up to 30. $30 is 3/5 of $50.

Step-by-step explanation:

50/5 = 10 which means that 1/5 of 50 = 10.

2/5 of 50 ($20) is kept by the school. This is what Tara's expression finds. This means that $30 is sent to the candle company, and can be found with the expression 50 x 3/5.

The decimals are created by dividing the numerator of the fraction by the denominator (I find it easier to do math with decimals).

3 0
3 years ago
Convert 5.00 inches to centimeters
tensa zangetsu [6.8K]

Answer:

5 inches x 2.54 = 12.7 cm

Step-by-step explanation:

1 inche = 2.54cm

therefore, 5 inches x 2.54cm = 12.7cm

6 0
3 years ago
A rectangular soccer field is twice as long as it is wide. If the perimeter of a soccer field is 300 yards, what are the fields'
Masteriza [31]
<span>A rectangular soccer field is twice as long as it is wide. If the perimeter of the soccer field is 300 yards , what are its dimensions?
I know the basic formula is 2W+2L=300 but i am not sure where to go from there...
-----
Equations:
2W + 2L = 300
L = 2W
----
Substitute for "L" and solve for "W": 
</span><span>2W + 2(2W) = 300
6W = 300
W = 50 yds (width)
----
Solve for "L":
L = 2W
L = 100 yds (length)
========================
Cheers.
</span>
8 0
3 years ago
The volume of a cylinder is 12,566.4 cm3. The height of the cylinder is 8 cm.
scoundrel [369]
Using the formulas here: http://www.1728.org/diamform.htm

A)  Volume   =   <span>π <span>• r² • height
radius^2 = Volume / (PI*height)
</span></span><span>radius^2 = 12,566.4 / (PI * 8)
</span>radius^2 =  <span> <span> <span> 500.0011692175 </span> </span> </span>
radius = <span> <span> <span> 22.3607059195 </span> </span> </span>
radius (rounded) = 22.4 cm

B) Area of base = PI * radius^2
Area of base = 3.14159265 * 500
Area of base = <span> <span> <span> 1,570.7963267949 </span>
</span></span><span><span>Area of base (rounded) = </span> 1,570.8 square cm
</span> 
C) <span><span>lateral area = </span>2 • </span><span>π • r • height </span>
<span>lateral area = 2 • </span><span>π • 22.4 * 8
</span>lateral area = <span> <span> <span> 1,125.9468070466 </span> </span> </span>
lateral area = 1,125.9 <span>square cm

D) Total Surface Area = </span><span>(2 • <span>π <span>• r²) + (2 • <span>π • r • height)</span></span></span></span>
Total Surface Area = <span><span>2 * (top AND bottom area which is the Part B answer times 2) + (the lateral area which is the Part C answer)
</span>
Total Surface Area = </span>( 2 * 1,570.8 ) + (1,125.9)
<span>Total Surface Area = 3,141.6 + 1,125.9
</span><span>Total Surface Area = </span> <span> <span> <span> 4,267.5 </span> </span> </span> square cm





3 0
3 years ago
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