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4 years ago

What is the value of a in the equation below? 2a + 3 = 4a + 5 Please show work :)

Mathematics

1 answer:

Temka [501]4 years ago

7 0

The answer is .75=a

2a+3=4a+5
-2a -2a
3 = 4a+5
-5 -5
3 = 4a
3/4 4/4
.75 = a

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HELP PLS SHOW WORK ITS 2 PARTS

sdas [7]

Answer:

a=4.2

Step-by-step explanation:

6.4-a=2.2

so 6.4-22=a

4.2=a

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3 years ago

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In the square below, the two semi-circles are congruent. Find the area of the shaded region. If necessary, round your answer to

Jobisdone [24]

Let's start with the area of the square
$area \: square = s \times s = 8 \times 8 = 64$
now let's subtract the are of the two half circles.
two half circles are the same as one circle, and we know that the diameter of the circle is 8 (same as the side of a square) so it's radius is 8/2= 4 inches

$area \: circle = \pi {r}^{2} = \pi \times {4}^{2} = 16\pi$
now we just subtract and our answer is

$64 - 16\pi = 64 - 16 \times (3.14) = 13.73$

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4 years ago

A drawer contains 4 white socks, 5 black socks, and 3 brown socks. Find the probability that...

IRINA_888 [86]

Answer:

5/12

7/12

125/36 = 3,47%

50/11 = 4,54%

Step-by-step explanation:

Probability a black sock is selected when a person chooses 1 sock = 5/12

Probability a white or brown sock is selected when a person chooses 1 sock =

7/12

Probability a person chooses 3 socks and selects a white first, a black second, and a brown last if the socks are replace = (4/12 * 5/12 * 3/12)*100 =125/36 = 3,47%

Pobability a person chooses 3 socks and selects a white first, a black second, and a brown last if the socks are NOT replace = (4/12 * 5/11 * 3/ 10)*100 = 50/11 = 4,54%

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3 years ago

What is the area of the following shape? Do not put units.

____ [38]

Answer:

Area = 30

Step-by-step explanation:

Add the two sides

8 + 4 = 12

Multiply that number by the height

12 × 5 = 60

Divide that number by 2

60 ÷ 2 = 30

4 0

3 years ago

The length of a rectangle is three times its width. If the perimeter is at most 128cm, what is the greatest possible value for t

anastassius [24]

Answer:

16 cm

Step-by-step explanation:

Let the width be x

The length will be 3 x since the length is three times the width

Perimeter=2(l+w) where l is length and w is width

By substituting 128 cm for perimeter, x for w and 3 x for l then

128=2(3x+x)

128=8x

$x=\frac {128}{8}=16$

Therefore, the width is 16 cm, the width is 16*3=48 cm

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3 years ago