MATHEMATICS HIGH SCHOOL

Make x the subject 6x+a=5(x+t)

Answers

Answer 1

Answer:

Final answer:

To make x the subject of the equation, you can rearrange the equation x = 5t - a.

Explanation:

To make x the subject of the equation, we need to isolate the variable on one side of the equation. Here's how:

Distribute 5 to both x and t: 6x + a = 5x + 5t
Subtract 5x from both sides: 6x - 5x + a = 5t
Combine like terms: x + a = 5t
Subtract a from both sides: x + a - a = 5t - a
Cancel out a: x = 5t - a

Therefore, to make x the subject, the equation is x = 5t - a.

Learn more about Rearranging equations here:

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Answer 2

Answer: 6x+a=5(x+t)
6x+a=5x+5t
a=-x+5t
-x=a-5t
x=5t-a

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Which statement best explains why the Tenth Amendment reserves some rights and powers to the states? The framers believed in the principle of federalism. The framers wanted the states to be more powerful than the national government. The framers wanted to limit citizens' rights. The framers wanted to control civil liberties.

Answers

The tenth amendment reserved some powers to the states because the The framers believed in the principle of federalism.

The concept of federalism is a political term that describes the power of states or provinces to share power with the national government or the central government.

The 10th amendment agrees to federalism by providing that all powers that were not given to the federal government by the constitution, belongs to the states or the people.

Answer:

The farmers believed in the principal of federalism

Step-by-step explanation:

edge 2020

What is 5,613.748 rounded to the nearest tenth

Answers

Answer: 5,613.7

Step-by-step explanation:

To round the number 5,613.748 to the nearest tenth, look at the digit in the hundredths place, which is the 4. Since it's less than 5, you leave the tenths place (7) as it is, and the number rounded to the nearest tenth is:

5,613.7

List the perfect squares between 100 and 500 that are even numbers

Answers

$10^2=100 \n.................\n\ 11^2=121 \n 12^2=144 \n 13^2=169 \n 14^2=196 \n 15^2=225 \n 16^2=256 \n 17^2=289 \n 18^2=324 \n 19^2=361 \n 20^2=400 \n 21^2=441 \n 22^2=484 \n................\n23^2=529$

An internet service provider changes an initial fee of $65 and $18 per hour of labor for office internet installation. Which equation represents the total cost, C, of the installation after h hours of labor?

Answers

Answer:

The total cost (C) charged by the internet service provider = $65 + $18(n)

Step-by-step explanation:

Initial fee charged by the servic eprovider = $65

Cost per hour of labor for office internet installation = $18

The cost per hour be $18

Cost per two hours = 18 * 2 = $36

Cost per n number of hours = $18 (h)

where h represents the number of hours

The total cost (C) charged by the internet service provider = $65 + $18(n)

Alberto wants to keep their favorite tree from being uprooted by heavy winds. They plan to tie 3 sections of rope to a band on the trunk of the tree, 5 feet above the ground. They will tie each section of the rope to a stake in the ground 12 feet out from the base of the tree. How much rope will he need altogether?

Answers

Answer:

39 ft

Step-by-step explanation:

Using the description as a guideline I have drawn out the situation (badly drawn) as seen in the picture below. From the picture, we see that we need to find x which is the length of one of the ropes. Once we have this length we simply multiply it by 3 to find out how much rope we need altogether. Since this is the diagonal of a triangle we can use the Pythagorean theorem to solve for x.

Pythagorean theorem: $a^(2) +b^(2) = c^(2)$ .... which a and b are the two sides while x is the diagonal.

$5^(2) +12^(2) = x^(2)$

$25 + 144 = x^(2)$

$169 = x^(2)$ ... now we square root both sides

$13 = x$

Now that we have the length of one of the ropes we simply multiply this by 3 to find the total amount of rope needed.

13 * 3 = 39 ft

A circular garden has a radius of 4 meters. What is the area of the garden? Use 3.14 as an approximation for .a. 38.74 m2
b. 45.81 m2
c. 50.24 m2
d. 62.58 m2

Answers

A=pir^2
r=4
pi=3.14 for this problem
A=3.14(4^2)
A=3.14(16)
A=50.24 m^2

C

Area of a circle = pi (radius^2)

A = 3.14(4^2)
A = 3.14(16)
A = 50.24 m^2

Answer C

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