State the solution to the following system of equations using the elimination method:3x+4y=5

6x+8y=10

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

multiply the first equation by 6 and the second by 3. they are the same and therefore 0

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Please Please Help Me In These Questions: 1-5!!!!! I Give Thanks!!!! Graph, Table, and the Questions are included.See Attachments!

Feeling Really Sad!!!!! Please Help Me!!!!!

Answers

Assuming that the traps stay the same, we know that the number of moths they catch will be relative to the size of the population of moths. From this, we can see that the trend in the population of light moths is a steady decrease from year to year, and the trend in the population of the dark moths is a steady increase over the same time period.

Since the trees have been darkened by industrial pollution (they have black smoke on them), we know that the dark moths camouflage better than the light moths. Because of this, the white moths get eaten by predators more often and their population goes down gradually; the dark moths, however, camouflage easily, and their population goes up since they get eaten less often.

If the environment were cleaned up, the light moths' population would increase (since they camouflage better on clean trees), while the dark moths' population would decrease (since they camouflage better on dirty, polluted trees).

A kitchen garbage can is 5/10 full. A garbage truck is 1/10 full. Wich is less full?

Answers

the kitchen garbage is 50% full
the truck is 10% full
which percent is less

the one that is filled the less would be the garbage can because the truck would get filled even more.

Solve x: 3x-7 = 5x+13
Solve x: 7-3x = 5x+13

Answers

first you need to combine like terms
7-3x= 5x+13
step 1 add 3x
7=8x+13
step 2 subteact 13
-6=8x
step 3 divide both sides by two
x=-3/4

1.
Since 5x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 5x from both sides.
3x−7−5x=13

Add 3x and −5x to get −2x.
−2x−7=13

Move -7 to the right hand side of the equation.
−2x=7+13

Add 7 and 13 to get 20.
−2x=20

Divide each term in the equation by −2.

x=−10

2.
Since 5x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 5x from both sides.
7−3x−5x=13

Add −3x and −5x to get −8x.
7−8x=13

Move 7 to the right hand side of the equation.
−8x=−7+13

Add −7 and 13 to get 6.
−8x=6

Divide each term in the equation by −8.

x=−3/4

A bank offers a home improvement loan with simple interest at an annual rate of 12%. J.T. borrows $14,000 over a period of 3 years. How much will he pay back altogether?The choices are:
A. 19,040 dollars
B. 15,680 dollars
C. 20,720 dollars
D. 17,360 dollars

Answers

The amount paid back by him altogether is 19040 dollars.

What is simple interest?

Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest.

The formula for calculation of simple interest will be:-

Interest = (P x R x T ) / 100

I = ( 14000 x 0.12 x 3 ) / 100

I = 5040

Add Interest to the Principal

14000 + 5040

Total amount = $19,040

Therefore the amount paid back by him altogether is 19040 dollars.

To know more about simple interests follow

brainly.com/question/2294792

#SPJ2

Interest = PRT/100
I= 14000*0.12*3
I=5040

Add Interest to the Principal
14000 + 5040
= $19,040
A is the answer.

Need help ASAP!! Which of the following equations is of a parabola with a vertex at (0, 2)?

Answers

Answer:

y=x^2 + 2

if you use a graphing calculator, you can see that is the answer

Y=x power of2 +2
I don’t know if I helped but I hope so because there was a person that answered it before me so sorry

The area of a square is 225 square centimeters. Find the length of a side. Find the length of the diagonal.

Answers

If the square's area is 225 square centimeters, that means length of it's one side is 15 centimeters, because the formula for a square's area is ${ a }^( 2 )$ where a is length side, in our case ${ a }^( 2 )=225$ and $\sqrt { { a }^( 2 ) } =\sqrt { 225 } \n a=15$ . So we know that one side's length is 15 we can find the diagonal. The solution is in the picture.

${ a }^( 2 )+{ b }^( 2 )={ c }^( 2 )\n { 15 }^( 2 )+{ 15 }^( 2 )={ c }^( 2 )\n 225+225={ c }^( 2 )\n 550={ c }^( 2 )\n \sqrt { 550 } =\sqrt { { c }^( 2 ) } \n \sqrt { 550 } =c\n 15\sqrt { 2 } =c$

Final answer:

To find the length of a side of the square, take the square root of its area. The length of a side is 15 centimeters. To find the length of the diagonal, use the Pythagorean theorem. The length of the diagonal is 15√2 centimeters.

Explanation:

To find the length of a side of a square, we can take the square root of its area. The area of the square is given as 225 square centimeters, so taking the square root of that will give us the length of a side. √225 = 15 centimeters.

To find the length of the diagonal of the square, we can use the Pythagorean theorem. The diagonal forms a right triangle with the sides of the square, so we can use a^2 + b^2 = c^2, where a and b are the lengths of the sides and c is the length of the diagonal. Plugging in the values, 15^2 + 15^2 = c^2. 225 + 225 = c^2. 450 = c^2. Taking the square root of both sides, c = √450. Simplifying, c = 15√2 centimeters.