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Nadusha1986 [10]
3 years ago
7

Find an equivalent ratio for the ratio 90 : 18

Mathematics
1 answer:
Helga [31]3 years ago
7 0
The only equivalent ratio is the last one, 10:2

90/9=10
18/9=2
10:2

Hope this helps!
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Which expression is equivalent to 9p+9p
mafiozo [28]

Answer:

18p? I don't know what other expressions could be equivalent. I just added 9p to 9p to get my answer.

8 0
3 years ago
A local library claims it has 2.73x103 books. If there are 42 people in the building, how many books per capita are there?
Marizza181 [45]

Answer:

63 books per capita in the library

<em></em>

Step-by-step explanation:

Given

Books = 2.73 * 10^3

People = 43

Required

Determine the book per capita

To do this, we simply divide the number of books by number of person;

Average = \frac{Books}{People}

Average = \frac{2.73 * 10^3}{43}

Average = \frac{2.73 * 1000}{43}

Average = \frac{2730}{43}

Average = 63.488372093

Average = 63 (Approximated)

Hence;

<em>There are 63 books per capita in the library</em>

7 0
3 years ago
Solve by Substitution<br> Show Steps<br> −2x + 3y + 5z = −21<br> −4z = 20<br> 6x − 3y = 0
Anarel [89]

−2x + 3y + 5z = −21

−4z = 20

6x − 3y = 0

do -4z=20 first

divide both sides by -4 to get z by itself

-4z/-4=20/-4

z=-5

Use z=-5 into −2x + 3y + 5z = −21

-2x+3y+5(-5)=-21

-2x+3y-25=-21

move -25 to the other side

sign changes from -25 to +25

-2x+3y-25+25=-21+25

-2x+3y=4

6x-3y=0

find x by eliminating y

Add the equations together

-2x+6x+3y+(-3y)=4+0

-2x+6x+3y-3y=4

4x=4

Divide by 4 for both sides

4x/4=4/4

x=1

Use x=1 into 6x − 3y = 0

6(1)-3y=0

6-3y=0

Move 6 to the other side

6-6-3y=0-6

-3y=-6

Divide both sides by -3

-3y/-3=-6/-3

y=2

Answer:

(1, 2, -5)

5 0
4 years ago
Read 2 more answers
Ok need help this is the question :Use the Pythagorean theorem to write an equation for the distance Jane's trainer bikes.
IRINA_888 [86]

Answer:

<em>Jane traveled 8 miles farther then her trainer</em>

Step-by-step explanation:

<u>The Pythagora's Theorem</u>

In any right triangle, the square of the measure of the hypotenuse is the sum of the squares of the legs. This can be expressed with the formula:

c^2=a^2+b^2

Where

c = Hypotenuse or largest side

a,b = Legs or shorter sides

Jane's path from the Health Club to the end of her route describes two sides of a right triangle of lengths a=16 miles and b=12 miles.

Her total distance traveled is 16 + 12 = 28 miles

Her trainer goes directly from the Health Club to meet her through the hypotenuse of the triangle formed in the path.

We can calculate the length of his route as:

c=\sqrt{16^2+12^2}

c=\sqrt{256+144}=\sqrt{400}=20

c = 20 miles

The difference between their traveled lengths is 28 - 20 = 8 miles

Jane traveled 8 miles farther then her trainer

8 0
3 years ago
-12 = 2 + 5y + 2y<br> Can you me do the work
notsponge [240]

Answer:

-2 =y

Step-by-step explanation:

-12 = 2 + 5y + 2y

Combine like terms

-12 =2+7y

Subtract 2 from each side

-12-2 = 2+7y-2

-14 = 7y

Divide each side by 7

-14/7 = 7y/7

-2 =y

5 0
3 years ago
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