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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

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Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what coul

aev [14]

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus, $18 inches = 1.5 ft$

Thus, the length of the rug is $l=1.5+w$

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

$A=length\times width$

$10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0$

Solving the expression using the quadratic formula,

$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substituting the values, we have,

$$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\$

$w=\frac{-15 \pm \sqrt{4225}}{20}$

$w=\frac{-15 \pm 65}{2 0}$

Thus,

$w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5$ and $w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4$

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting $w=2.5$ in $l=1.5+w$ , we get,

$l=1.5+2.5\\l=4$

Thus, the length of the rug is 4 ft.

4 0

3 years ago

A fish tank in the shape of a rectangular prism holds 30 cubic feet of water .the tank has a length of 5 feet and width of 3 fee

Flura [38]

Answer:

A - 2 feet

Step-by-step explanation:

We know that the tank is a rectangular prism which means the volume is equal to length*width*depth

since the tank can hold 30 cubic feet of water, we can divide 30 by the given dimensions of the length and width to find the depth

30/5 = 6

6/3 = 2

therefore, the depth of the tank has to be 2 feet (A)

5 0

3 years ago

I don't understand no this at all

Katena32 [7]

Answer:

Just get the perimeter of the smaller rectangle then times it by 4

Step-by-step explanation:

i tried to use a calculator but i cant do the perimeter of the smaller triangle because i dont know what x is sorry ill try to figure it out.

8 0

3 years ago

For what value of b makes this equation true? (Solve for b)<br> b +9 = -2

neonofarm [45]

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▹ Answer

▹ Step-by-Step Explanation

b + 9 = -2

-9 -9

b = -2 - 9

b = -2 + -9

b = -11

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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7 0

3 years ago

Read 2 more answers

The equation shows the relationship between x and y:

Alex_Xolod [135]

This is in slope-intercept form which is y=mx+b
where m is the slope and b is the intercept
in this equation -7 is m
The correct answer is -7

5 0

3 years ago