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3 years ago

B is the midpoint of AC and D is the midpoint of CE solve for x given BD = 3x+4 and AE = 5x+19

1 answer:

5 0

It might be helpful to draw a diagram of a line in this case, but you could do this algebraically as well. The midpoint of any segment is basically the average of the two endpoints of the segment. Thus, for example, the midpoint of AC would be the value of A added to the value of C, which is then divided by 2 to get B. You just have to find all of the values for each of the letters, and then find the distance between B and D, for instance, which (the distance) may be represented as a system of equations with the statement of the distance for AE.

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How can you tell that the inequality 3t+1> 3t + 2

lutik1710 [3]

Answer:

see below

Step-by-step explanation:

3t+1> 3t + 2

Subtract 3t from each side

1>2

This is never true so there is no solution

Since the variable terms are the same, we only have to look at the constants

6 0

3 years ago

Wai Kit had $45 more than Cheryl and 0.25 of what Zheng Yi had. If they had $510 altogether, how much less money did Cheryl have

GenaCL600 [577]

Step-by-step explanation:

Wai 1unit+45

Cheryl 1unit

Zheng 4units+180

Altogether 6units+225=510

6units = 510-225

6units=285

1unit=285÷6

= $47.5

So Wai =47.5+45 = 92.5

Cheryl =47.5

Zheng =4×47.5+180 =370

370-47.5=$322.5

Answer $322.5

4 0

2 years ago

A 20-ounce bag of popcorn costs $2.80. If the unit price stays the same, how much does a 35-ounce bag of popcorn cost?

Wittaler [7]

Answer:

I think the answer is C

4 0

3 years ago

Write the solution of the given system of equations

Citrus2011 [14]

Answer:

Step-by-step explanation:

The solution to this system of equation is (4, 10)

3 0

3 years ago

Use the periodic compound interest formula to solve.

77julia77 [94]

Answer:

$15,539.67

Step-by-step explanation:

Compound Interest Formula

$\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}$

where:

A = final amount
P = principal amount
r = interest rate (in decimal form)
n = number of times interest applied per time period
t = number of time periods elapsed

Given:

P = $11,000
r = 5.8% = 0.058
n = 4 (quarterly)
t = 6 years

Substitute the given values into the formula and solve for A:

$\implies \sf A=11000\left(1+\frac{0.058}{4}\right)^{(4 \times 6)}$

$\implies \sf A=11000(1.0145)^{24}$

$\implies \sf A=15539.67451...$

Therefore, the value of the investment after 6 years will be $15,539.67 to the nearest cent.

3 0

2 years ago