All categories

3 years ago

Two numbers are in the ratio of 2 to 3. If the smaller number is 18, the larger number is___.

Mathematics

2 answers:

hodyreva [135]3 years ago

8 0

Answer:

Step-by-step explanation:

Let's set up a proportion. The numbers are in a ratio of 2 to 3, and the smaller number is 18, while the larger number is unknown. We can call it x.

smaller/larger=smaller/larger

2/3=18/x

Cross multiply. Multiply the numerator of the first fraction by the denominator of the second. Then, multiply the numerator of the second by the denominator of the first.

2*x=3*18

2x=54

We want to find out what x is. We have to get x isolated. Currently, x is being multiplied by 2. The inverse of multiplication is division. Divide both sides by 2.

2x/2=54/2

x=54/2

x=27

The larger number is 27.

Tamiku [17]3 years ago

4 0

Answer:

Step-by-step explanation:

2:3

18:?

2 x 9 = 18

3 x 9 = 27

You might be interested in

Help plz plz plz plz plz plz

Evgesh-ka [11]

Answer:

102

Step-by-step explanation:

1^2+2=2

2^2+2=6

3^2+2=11

10^2+2=102

5 0

3 years ago

Read 2 more answers

The base of a parallelogram is 21 yards. Find the height if the area of the parallelogram is 525 square

11Alexandr11 [23.1K]

Answer:

25 yards

Step-by-step explanation:

A parallelogram is a quadrilateral (a four sided object) with parallel sides

Some of the characteristics of a parallelogram includes :

Opposite sides and angles are congruent .
Opposite angels are congruent (D = B).
Consecutive angles are supplementary (A + D = 180°).
The diagonals bisect each other

Area of a parallelogram = base x height

Area = 525

base = 21 yards

height = ?

525 = 21 x height

divide both sides of the equation by 21 to find the value of the height

525 / 21 = height

height = 25 yards

5 0

3 years ago

What is the solution for this inequality? 3(x-4)>5(x-2)-8

Marizza181 [45]

$3x - 12 > 5x - 10 - 8 \\ 10 + 8 - 12 > 5x - 3x \\ 6 > 2x \\ x < 3$

7 0

3 years ago

A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled

n200080 [17]

Answer:

24000 pieces.

Step-by-step explanation:

Given:

Side lengths of cube = $\frac{1}{4} \ foot$

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

$Volume\ of\ cube =a^{3}$

$=\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot$

Length = 8 foot, Breadth = $6\frac{1}{4} =\frac{25}{4} \ foot$ , Height = $7\frac{1}{2} =\frac{15}{2} \ foot$

$Volume\ of\ rectangular\ prism =length\times breadth\times height$

$=8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot$

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = $\frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube$

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.

7 0

3 years ago

PLEASE HELP!

insens350 [35]

Answer:

Plan Two

Step-by-step explanation:

If you do all the math, which is not that hard, you can find the answer easily. I think if you tried to do it yourself, you would learn and benefit more.

3 0

3 years ago