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2 years ago

Which point is a solution to the system of equations? y = 3x +4 y =+2

Mathematics

2 answers:

Papessa [141]2 years ago

7 0

(-2,3,2) is the answrr

Andru [333]2 years ago

3 0

(-2/3, 2)

Solve for the first variable in one of the equations, then substitute the result into the other equation.

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Solve for the distance between the points (4, 4) and (1, -3).

avanturin [10]

It should be 44 if it goes up to 1,10. If it is 1,5 it should end up as 44 As well. Sorry if I’m wrong. Please do not attack me.

4 0

2 years ago

Select the correct answer from each drop-down menu.

tester [92]

Answer:

April
She did not pack enough layers of centimeter cubes
240 cubic centimeters

Step-by-step explanation:

Dimensions of the prism is 5x8x6

April made a mistake, she packed 4 layers of unit cubes instead of 5 layers

Correct volume of the prism is:

5*8*6 = 240 cm³

Correct answer choices:

April
She did not pack enough layers of centimeter cubes
240 cubic centimeters

6 0

2 years ago

Leslie used 20% of a half-gallon (64 ounces) of milk for a recipe. How many ounces of milk were left?

Lady_Fox [76]

Answer:

51.2 ounces.

Step-by-step explanation:

If its 20% of a 64 ounce half gallon, you just need to find the last 80% of the half gallon. Since you know it is 64 ounces you can divide it by 5 which gives you 12.8. 12.8 would be 20% so you just subtract 12.8 from 64 ounces which gives you 51.2.

5 0

2 years ago

A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential gr

Rufina [12.5K]

The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
$120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\$
Logarithm both sides of the equation:
$ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083$

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
$A = 120 000 000 * e ^{0.0083*17} \\ 
A = 120 000 000 * e^{0.1411} \\ 
A = 120 000 000 * 1.15 \\ 
A = 138 000 000
$
Thus, the population will be 138 million in 2014

8 0

2 years ago

What is 2 pounds in ounces

IRISSAK [1]

There are 16 ounces in 1 pound, so to solve this, you would need to multiply the number 16 by 2.

16 * 2 = 32

Check work:

32 ÷ 2 = 16

Your answer is 32, there are 32 ounces in 2 pounds.

I hope this helps! :)

5 0

2 years ago

Read 2 more answers