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Svetach [21]
3 years ago
12

If: BC= 4x + 2, AB = 8x + 8, and AC = 22, Find BC.

Mathematics
1 answer:
telo118 [61]3 years ago
5 0

Answer:

BC = 6.8

Step-by-step explanation:

The distance from A to B, then from B to C, is the same distance as from A to C.

Thus,

AB + BC = AC

AB = 8x + 8

BC = 4x + 2

AC = 22

AB + BC = AC

(8x + 8) + (4x + 2) = 22

Expanding the parenthesis:

8x + 8 + 4x + 2 = 22

8x + 4x + 8 + 2 = 22

12x + 12 = 22

Subtracting 12 from both sides:

12x = 10

Dividing both sides by 12:

x = 10/12 = 1.2

x = 1.2

We're looking for BC. As we know,

BC = 4x + 2

Let's now put in x = 1.2 into this equation:

BC = 4x + 2

BC = 4 * 1.2 + 2

Since 4 * 1.2 is 4.8:

BC = 4.8 + 2

BC = 6.8

Answer: BC = 6.8

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carlos and Jacob each improve their yards by planting daylilies and ivy. They bought their supplies from the same stores. Carlos
34kurt

Answer:

Cost of each daylilies = $3

Cost of each ivy pot = $3

Step-by-step explanation:

Given:

Cost of 4 daylilies and 4 ivy = $24

Cost of 4 daylilies and 8 ivy = $36

Find:

Cost of each daylilies

Cost of each ivy pot

Computation:

Assume;

Cost of each daylilies = a

Cost of each ivy pot = b

So,

4a + 4b = 24....... eq 1

4a + 8b = 36 ....... eq 2

Eq2 - Eq1

8b - 4b = 36 - 24

4b = 12

b = 3

So,

Cost of each ivy pot = $3

4a + 4b = 24

4a + 4(3) = 24

4a + 12

a = 3

Cost of each daylilies = $3

6 0
3 years ago
James at 26 Apple then he gives away 8 apples how many apples dose James have math
Sergio039 [100]
26 - 8 = 18. 
James has 18 apples.


4 0
4 years ago
Read 2 more answers
Mr. Baldwin is packing the shipping box with ring boxes that are cubes with an edge length of 3/2 inches. If he completely fills
Alinara [238K]

Answer:

10 ring boxes

Step-by-step explanation:

First, we need to calculate the total surface area of each cube ring boxes

The surface area of each square boxes = 6L²

Given that L =1.5inches

Total surface area = 6(1.5)²

Total surface area = 6(2.25)

Total surface area = 13.5in²

<em>Since the question is incomplete. Let us assume the total surface area of the shipping box is 135in²</em>

<em></em>

Number of ring boxes he can ship = 135/13.5

Number of ring boxes he can ship = 10

Hence the number of ring boxes he can ship is 10 ring boxes

<em />

<u><em>NB: The total surface area of the shipping box was assumed</em></u>

<u><em></em></u>

6 0
3 years ago
118 + 560 is the same as<br> 100 +
Fed [463]

Answer:

578

Step-by-step explanation:

118

+560

answer:678

678-100=578

6 0
3 years ago
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6 cell phones weigh 46.2 ounces. Fourteen cell phones weigh 107.8 ounces. Does this represent a proportional relationship
Studentka2010 [4]

yes, because 46.2/6 = 7.7 ounces and 107.8/14 = 7.7 ounces

3 0
3 years ago
Read 2 more answers
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