Which pair of ratios is proportional? A. 5/7 and 25/35 B. 6/9 and 18/26 C. 9/18 and 16/36 D. 35/120 and 75/240

Answers

Answer 1

Answer: The answer is A bcause 5×5/7×5=25/35.

Answer 2

Answer: Its A: $(5)/(7)$ = $(25)/(35)$
because $(5*5)/(7*5)$ = $(25)/(35)$
the others do not have a common number multiplied in the numerator and denominator.
Note: If the numerator and Denominator are multiplied by the same number, it is proportional.
In this example, it was multiplied by 5

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Identify two methods in the Constitution to limit power of the national government?

Answers

First, the principle of Check and Balance applies. The Check and Balance system is devised to have all the branches of the government from overpowering one another. This is done through having independent powers in the government.

The next would be the principle that states that all powers not under the Federal government would be under the power of the State.

Answer: The three branches of government

Step-by-step explanation:Legislative, Judicial, and executive

8 is 2% of what number

Answers

i believe the answer to your question is 16

Fill in the blank.if necessary, use the slash marks (/) for a function bar. if sin theta= 3/5, then cos theta=

Answers

Answer:

4/5 or -4/5

Step-by-step explanation:

We are going to use the Pythagorean Identity:

$\sin^2(\theta)+\cos^2(\theta)=1$

We are given the value of $\sin(\theta)$ which is 3/5 so plug that in:

$((3)/(5))^2+\cos^2(\theta)=1$

Simplify:

$(9)/(25)+\cos^2(theta)=1$

Subtract 9/25 on both sides:

$\cos^2(\theta)=1-(9)/(25)$

$\cos^2(\theta)=(16)/(25)$

Take the square root of both sides:

$\cos(\theta)=\pm \sqrt{(16)/(25)}$

$\cos(\theta)=\pm (4)/(5)$

How can I solve this system of equation with substitution 2a+2x=18 and a+3x=17

Answers

first solve for one variable
solve for a in second eqatn

minus 3x both sides
a=17-3x
sub 17-3x for a in first equaiton
2(17-3x)+2x=18
34-6x+2x=18
34-4x=18
minus 34 both sides
-4x=-16
divide both sides by -4
x=4
sub back
a=17-3x
a=17-3(4)
a=17-12
a=5

a is 5
x=4

WORK SECTION (without thoughts)
2a+2x=18 to a+x=9
a+3x=17

a=17-3x
(17-3x)+x=9
17-2x=9
-2x=-8
x=4

a=17-3(4)
a=17-12
a=5

x=4
a=5

What is 11.1 as a fraction?

Answers

11/10 because start from the decimal point a count the spaces the point is one the 1 is two

so 11/10

it takes to numbers to make ten

11 1/10

.1 is equal to 1 tenth and 11 is just simply 11.

A garden box has a perimeter of 27 1/2 feet. If the length is 9 feet ,what is the area of the garden box?

Answers

Perimeter=2 * lenght + 2 * width.

Data:
Perimeter= 27 1/2 ft=27.5 ft
lenght=9 ft

1)we have to calculate the width.
27.5 ft=2(9 ft)+2 width
27.5 ft=18 ft + 2 width
2 width=27.5 ft-18 ft
2 width=9.5 ft
width=9.5/2=4.75 ft

2) we calculate the area
area of a rectangle=length x width
area of this rectangle=9 ft * 4.75 ft=42.75 ft²,

answer: the area of the garden is 42.75 ft² (=42 3/4 ft²).

perimiter=2(L+W)
27 and 1/2=P=27.5
L=9
27.5=2(9+W)
divide bot hsids by 2
13.75=9+w
minus 9
4.75=W

area=LW
area=9*4.75
area=42.75
ara=42 and 3/4 feet^2

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