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3 years ago

How are rates and ratios related?

Mathematics

1 answer:

Allisa [31]3 years ago

3 0

Answer:

Rates are ratios that are renamed so that one of the numbers is 1. It is usually the denominator of the original ratio.

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What is w (7) for the function w (x)=5x+2 A. 59 B. 45 C. 37 D. 13

9966 [12]

the answer to the function would be 37 because w(7) shows that the variable would equal 7. So 5x7 would equal 35 plus 2 would give you 37.

4 0

3 years ago

HELPPP ASAPP PLEASEE

Archy [21]

Answer:

1 tube of paint = $6

Step-by-step explanation:

check the graph to verify the answer

5 0

3 years ago

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A 450m long field is drawn to a scale 1cm to 90cm.find the lenth of drawing

irina1246 [14]

Answer:

500cm or 5 meters

Step-by-step explanation:

The ratio of drawing and field is 1:90.

So we have to make 450 m into cm.

450 -> is 45,000

Now we can make 2 fractions,

$\frac{1}{90}=\frac{x}{45000}$

Cross multiply

90*x = 90x

1*45000 = 45000

90x = 45000

Divide 90 to both sides

x = 500cm

Thus,

the drawing's field is 500cm or 5m long.

Hope this helps :)

5 0

3 years ago

If the sides of a triangle are produced in order prove that the sum ofexterior angles so formed is equal to four right angles

Rashid [163]

Step-by-step explanation:

Let a, b, c be the measures of the interior angles and x, y, z be the measures of the exterior angles of the triangle. Where x and adjacent to a, y is adjacent to b and z is adjacent to c.

By interior angle sum postulate of a triangle:

a + b + c = 180°... (1)

Therefore, by remote interior angle theorem:

x = b + c.... (2)

y = a + c..... (3)

z = a + b.... (4)

Adding equations (2), (3) & (4)

x + y + z = b + c + a + c + a + b

x + y + z = 2a + 2b + 2c

x + y + z = 2(a + b + c)... (5)

From equations (1) & (5)

$x + y + z = 2 \times 180 \degree \\ x + y + z = 360 \degree \\ x + y + z = 4 \times 90\degree \\ x + y + z = 4 \: right \: angles$

Thus, the sum of exterior angles so formed is equal to four right angles.

Proved.

7 0

3 years ago

Two standard dice are rolled and their face values multiplied. What is the probability that the product is prime or ends in a 5?

icang [17]

Answer:

6/21

Step-by-step explanation:

1. First, check all the possible combinations for a pair of dice:

1-1

1-2 2-2

1-3 2-3 3-3

1-4 2-4 3-4 4-4

1-5 2-5 3-5 4-5 5-5

1-6 2-6 3-6 4-6 5-6 6-6

(Those are the numbers of the dice, separated by hyphons.)

2. Next, find out the products, since that is the info we need to go off of.

2 4

3 6 9

4 8 12 16

5 10 15 20 25

6 12 18 24 30 36

(those are all the products based on the same chart we saw above.)

3. Now, let's calculate the probability.

Find the amount of prime numbers. (1, 2, 3, 5) Looks like there are four total.
Find the amount of numbers that end in a five. (15, 25) There are two. I've skipped 5 because that is already on the list.
Find the total amount of numbers. There are 21 in our case.

4. There are 6 numbers that will satisfy our needs. (prime or ending in 5)

There are 21 total.

6/21

If you need decimal form, there is a

0.2857 chance.

Hope this helped.

8 0

4 years ago

Read 2 more answers