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3 years ago

Which are the possible first steps in solving the equation 4^x+3=18

1 answer:

4 0

According to the rule of BODMAS multiplication goes first.

B - brackets
O - operations
D - division
M - multiplication
A - addition
S - subtraction

to answer the question, 4 ^ x goes first. which equals 4x. the new equation would be:
4x + 3 = 18
now you have to move +3 over the equals sign which becomes negative (-):
4x = 18 - 3
4x = 15
next you have to get the x to be alone, move the 4 over the equals sign. 15 is now divided by 4:
x = 15/4
x = 3.75

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Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint 1: (-10,6) midpoint: (7,-6)

blsea [12.9K]

The other end point is (24, -18)

Solution:

Given that,

Endpoint 1 is (-10, 6)

Midpoint is: (7, -6)

We have to find the other endpoint

The midpoint is given by formula:

$M(x, y) = (\frac{x_1+x_2}{2} , \frac{y_1 + y_2}{2})$

From given,

$M(x, y) = (7, -6)\\\\(x_1, y_1) = (-10, 6)\\\\(x_2, y_2) = ?$

Substituting the values we get,

$(7, -6) = (\frac{-10+x_2}{2} , \frac{6+y_2}{2})$

On comparing both sides we get,

$7 = \frac{-10+x_2}{2} \text{ and } -6 = \frac{6+y_2}{2}\\\\14 = -10 + x_2 \text{ and } -12 = 6 + y_2\\\\x_2 = 24 \text{ and } y_2 = -18$

Thus the other end point is (24, -18)

3 0

4 years ago

At a rate of 4%, you paid $144.00 in interest over a two-year period. What was the original amount of your loan?

SCORPION-xisa [38]

The formula that will be used here is: I = PRT,
Where I = interest = $144.00
P = principal = ?
R = rate = 4% = 0.04
T = time = 2 years
I = PRT
P = I / RT
P = 144 / [0.04 * 2] = 144 / 0.08
P = 1800.
Therefore, the principal is $1,800.00.
The correct answer is D.

8 0

4 years ago

Read 2 more answers

You toss 4 coins. How many possible outcomes are there for the four coins?

hram777 [196]

Answer:16 outcomes

Step-by-step explanation:

4 0

3 years ago

Ms. Thornton is buying treats for her top 10 algebra students in each of her two classes (20 treats total). She’s only willing t

Paladinen [302]

Answer:

Mrs Thornton can buy almost 17 candy packs if she has $30 to spend and one pack cost $1.75.

No, it will not be enough because total students are 20 and total candy packs that can be bought are 17.

Step-by-step explanation:

Total treats to buy = 20

Total cost to spend = $30

Price of one candy pack = 1.75

We need to find:

a) What is the maximum number of packs that she will be able to buy?

Price of 1 candy pack = $1.75

If she spends $30, divide 30 by 1.75 to get the number of candy packs she can buy

Number of candy packs = $\frac{30}{1.75} = 17.14 \approx 17$

So, Mrs Thornton can buy almost 17 candy packs if she has $30 to spend and one pack cost $1.75

b) Will that be enough for all of her students?

No, it will not be enough because total students are 20 and total candy packs that can be bought are 17.

5 0

3 years ago

Help me g + 3 + 4(9 + 2) =

GrogVix [38]

Answer:

g+3 +36+8=

g+39+8=

g+47

You can't find an answer but this is how you would simplify it :)

Step-by-step explanation:

4 0

3 years ago