Multiply. Write your answer in simplest form.

5/12 x 4/5

Answers

Answer 1

Answer: Multiply across.
Step 1: 5x4=20
Step 2: 12x5=60
Step 3: Reduce or simplify
20/60=1/3

Answer 2

Answer: You reduce the fraction by dividing numerator and denominator by 5.
1/12 x 4.Reduce the fraction by dividing numerator and denominator by 4.
1/3 x 1.You multiply the values. 1/3.

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During a recent winter, the ratio of deer to foxes was 7 to 3 in a town. If there was 210 foxes in the town, what was the number of deer in the town?

Answers

$(7)/(3) = (x)/(210)$
Cross multiply and get 1470/3
Your final answer is 490 deer.

The length of a rectangle is twice its width. The perimeter of the rectangle is 24 inches. Write a system of equations in 2 variables. Use substitution to solve the problem

Answers

Let us assume the width of the rectangle = w
Let us assume the length of the rectangle = l
Then
l = 2w
Also
Perimeter of the rectangle = 2 (l + w)
24 = 2 (2w + w)
24 = 2 (3w)
24 = 6w
w = 24/6
= 4 inches
Now
The length of the rectangle = 2w
= 2 * 4 inches
= 8 inches
So the length of the rectangle is 8 inches and the width is 4 inches.

All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 20% of students brought their lunch. 49 students brought their lunch. How many students in total are in Ridgewood Junior High School?

Answers

Answer:

245

Step-by-step explanation:

49 = 20%

2.45 = 1%

245 = 100%

Metric unit for the mass of a television

Answers

I would say kilograms, becauee kilograms would be the best metric unit for the mass of a television.

Verify
tanx + cotx = 1/ sinxcosx

Answers

$\textit{Pythagorean Identities} \n\n sin^2(\theta)+cos^2(\theta)=1 \n\n[-0.35em] \rule{34em}{0.25pt}\n\n tan(x )+cot(x )~~ = ~~\cfrac{1}{sin(x )cos(x)} \n\n[-0.35em] ~\dotfill\n\n tan(x )+cot(x )\implies \cfrac{sin(x)}{cos(x)}+\cfrac{cos(x)}{sin(x)} \n\n\n \cfrac{sin^2(x)+cos^2(x)}{sin(x )cos(x)}\implies \cfrac{1}{sin(x )cos(x)}$