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lilavasa [31]
3 years ago
15

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:

27

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:

27

Step-by-step explanation:

2:3

18:?

-

2 x 9 = 18

3 x 9 = 27

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sergeinik [125]

Answer:

9.18

Step-by-step explanation:

7 0
3 years ago
Create an equation that matches this table
Radda [10]

The equation that matches the given table is

y = 10x + 40

Solution:

General equation of a line : y = mx + c

Let us find the equation of the table.

<u>Common differences of X: </u>

0 – 1 = 1, 1 – 2 = 1, 3 – 2 = 1, 4 – 3 = 1, 5 – 4 = 1

<u>Common differences of Y: </u>

50 – 40 = 10, 60 – 50 = 10, 70 – 60 = 10, 80 – 70 = 10, 90 – 80 = 10

$m=\frac{\Delta y}{\Delta x}

$m=\frac{10}{1}

m = 10

Substitute m = 10 in general equation of a line

y = 10x + c

To find the constant term, substitute x = 0 and y = 40.

40 = 10(0) + c

40 = 0 + c

40 = c

c = 40

Therefore the equation of a line is y = 10x + 40.

Hence the equation that matches the given table is y = 10x + 40.

6 0
3 years ago
Determine the value of base b if (152)b = 0x6A. Please show all steps.
DaniilM [7]

Assuming 0x6A is given in base 16, first convert 152_b and 6A_{16} to a common base, say base 10:

152_b=1\cdot b^2+5\cdot b^1+2\cdot b^0=(b^2+5b+2)_{10}

6A_{16}=6\cdot16^1+10\cdot16^0=106_{10}

Then

b^2+5b+2=106

b^2+5b-104=(b-13)(b+8)=0

\implies b=13

3 0
3 years ago
Read 2 more answers
Bert's bike shop has a $400 bicycle marked with a sign that says take a 35% discount what is the sale price
Inessa [10]

Answer:

$260

Step-by-step explanation:

Turn the percentage into a decimal.

35% -> 0.35

Multiply.

400 * 0.35 = 140

Subtract.

400 - 140 = $260

Best of Luck!

7 0
3 years ago
Read 2 more answers
Connor and Angie helped take attendance during their schools practice fire drill if the actual count was between 77 and 89 inclu
wel

Answer:

The most absolute error is 12

Step-by-step explanation:

The formula for absolute error is given by the following relation;

Absolute error, Δx = Value measured, x₀ - Exact (actual) value, x

Δx = x₀ - x

Since the actual count is between 77 and 89, the maximum absolute error will be where the actual value = 77 and the measured value = 89 and vice versa, giving an absolute error of 89 -77 = 12.

The most absolute error = 12.

4 0
3 years ago
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