MATHEMATICS HIGH SCHOOL

Simplify expressions
2=3/4x-7

Answers

Answer 1

Answer:

Answer: x = 12

Step-by-step explanation:

$2=(3)/(4)x-7$

Add 7 on both sides to get rid of the 7 and isolate x.

$+7+2=(3)/(4)x-7+7$

$9=(3)/(4)x$

Now multiply both sides by $(4)/(3)$ to eliminate it and isolate x.

$((4)/(3))(9)=((3)/(4)x) ((4)/(3))$

$12=x$

Proof;

$2=(3)/(4)x-7\n2=(3)/(4)(12)-7\n2=9-7\n2=2$

Answer 2

Answer:

Answer:

x = 12

Step-by-step explanation:

2 = 3/4x - 7

2 + 7 = 3/4x

9 = 3/4x

9 × 4x = 3

36x = 3

x = 36/3

x = 12

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What is the length of BC in the right triangle below 21 and 72

Answers

Im guessing 21 and 72 are the side lengths for the triangle?

Alright, so since it's a right triangle you can use the Pythagorean theorem or a^2+b^2=c^2

Since i cant see the picture, im going to use some general math so i can figure out if those two sides are the legs or if one of them is the hypotenuse
Alright
so im guessing the side we're trying to find is the hypotenuse

21^2+72^2=c^2
441+5184=c^2
5625=c^2
√5625=c
75=c

The answer is 75, hope i helped!

Answer:75

Step-by-step: just took the test

The perimeter of an isosceles triangle is 110 m two of the links are 40 and 30 m what is the area of the triangle

Answers

You have to use the formula to find the area of the triangle Remember,the area equation is b times h to the b divided by 2.Doing this will get you 600 m.

Kate paid $5.31 for onions. Onions cost $0.45 per pound. How many pounds of onions did Kate buy?

A.
118 pounds

B.
53.1 pounds

C.
11.8 pounds

D.
2.39 pounds

Answers

5.31$ divided par 0.45$ = 11.8 pounds

Which means , c) .

5 miles=8km how many miles in 80km

Answers

5miles/8km = xmiles/80km

8x=400

x=50

How do you find the perimeter of triangle ABC?

Answers

Alright, so we'll use the Pythagorean Theorem for this one.
⇒ a²+b²=c²

The hypotenuse of a triangle is represented by c² and we're given the values for a and b. For this triangle, we'll make 15 = a and 20 = b. Plug this into the equation and we'll have (15)² + (20)² = c ². This gives us 625 = c². Solve for c by square rooting both sides of the equation. √(625) = c. We now know that c = 25. To take the perimeter, we add a + b + c ⇒ (15) + (20) + (25) = Perimeter.

-Hope this helps!

do the Pythagorean Theorem - a^2+b^2=c^2

20^2+15^2=c^2
400+225=c^2
625=c^2
sqrt(625)=c
c=25

Add all of the sides up and you get 25+15+20=60

Solve the equation.24 – 3x = 2x – 1

A. x = 4
B. x = 5
C. x = 6
D. x = 25