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Mariana [72]
3 years ago
10

Given a line segment that contains the points A,B, & C in order, and given that B is the midpoint of AC, if AB = 2x - 5, and

BC = x + 7, find x.
Mathematics
1 answer:
aleksley [76]3 years ago
4 0

Answer:

x=12

Step-by-step explanation:

Midpoint B of segment AC creates both equal segments AB and BC. The midpoint halves out AC therefore AB=BC

The equation would look like 2x-5=x+7 where you want to isolate x fully. First you want to add 5 on both sides of the equation so that you get 2x=x+12. Next subtract x from both sides of the equation to then get x=12.

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if Lydia buys 1/2 pound of the Breakfast Tea and 2 pounds of the Dark Roast coffee, how many 1- pound bags of Pumpkin Spice coff
const2013 [10]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Lydia is at a coffee shop and knows  she can spend no more than $65

before tax. She sees this price list in  the coffee shop.

Dark Roast Coffee    $7.50

Pumpkin Spice Coffee   $10.50

Breakfast Tea   $23.50

if Lydia buys 1/2 pound of the Breakfast Tea and 2 pounds of the Dark Roast coffee, how many 1- pound bags of Pumpkin Spice coffee can she buy?

Given Information:

Shopping Budge = $65

Price of   Dark Roast Coffee = $7.50

Price of Pumpkin Spice Coffee  = $10.50

Price of  Breakfast Tea  = $23.50

Amount of Breakfast Tea required = 1/2 pound

Amount of Dark Roast coffee required = 2 pounds

Required Information:

How many 1-pound  Pumpkin Spice Coffee can she buy = ?

Answer:

n = 3 bags of 1-pound Pumpkin Spice Coffee

Step-by-step explanation:

We are given that the amount of Breakfast Tea required is 1/2 pound so the cost of Breakfast Tea is

Cost of Breakfast Tea = 1/2*23.50 = $11.75

We are also given that the amount of Dark Roast coffee required is 2 pounds so the cost of Dark Roast coffee is

Cost of Dark Roast coffee = 2*7.50

Cost of Dark Roast coffee = $15

We know that total Lydia's total budget is $65

11.75 + 15 + 10.50x = 65

Where x represents the amount of Pumpkin Spice coffee required

10.50x = 65 - 11.75 - 15

10.50x = 38.75

x = 3.64 pounds

That means Lydia can buy 3.64 pounds of Pumpkin Spice coffee.

Now assuming that the Pumpkin Spice coffee is sold only in 1-pound bags then the required number of bags that Lydia can buy is

n = 3.64 pound/1-pound

n = 3.64

Since bags cannot be in fraction so

n = 3 bags

Note: we can not round off to 4 bags since that would surpass the given budged.

7 0
3 years ago
What IS the simplified value of the expression below? -2.6 + 5.8
Lerok [7]

Answer:

3.2

Step-by-step explanation:

5 0
2 years ago
The area of a rectangular yard with a width of 6a²b feet is 72a³b⁴ square feet.What is the length
Temka [501]
L = A/W
L = 72a³b⁴ / <span>6a²b
L = 12 a b</span>³
8 0
2 years ago
The area of the postcard is 24 square inches. What is the width b of the message (in inches)?
MAXImum [283]
Area of rectangular post card = length x width
For the given post card: 
length = 4 in
width = (3+b) in
area = 24 in^2

So, substituting in the equation of the area:
24 = 4 x (3+b)
24 = 12 + 4b
24 - 12 = 4b
12 = 4b
b = 3 in

Therefore:
the length of the postcard = 4 inch
the width of the postcard = b+3 = 3 + 3 = 6 inch
4 0
3 years ago
Hiw many solutions does this have
Snezhnost [94]

Answer:

one solution ,also hi

:p

3 0
3 years ago
Read 2 more answers
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