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3 years ago

In a direct variation, y = 18 when x = 3. Write a direct variation equation that shows the

Mathematics

2 answers:

serg [7]3 years ago

8 0

You could do:
y • x =54
18•3 is 54 so that would make the equation true.

Ronch [10]3 years ago

5 0

Answer:

rounding to the nearest tenth

Step-by-step explanation:

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I need help in these questions

Salsk061 [2.6K]

Answer:

see explanation

Step-by-step explanation:

All of these questions use the external angle theorem, that is

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠3 = 43° + 22° = 65°

∠2 + 71 = 92 ( subtract 71 from both sides )

∠2 = 21°

90 + ∠4 = 123 ( subtract 90 from both sides )

∠4 = 33°

2x - 15 + x - 5 = 148

3x - 20 = 148 ( add 20 to both sides )

3x = 168 ( divide both sides by 3 )

x = 56

Hence ∠ABC = x - 5 = 56 - 5 = 51°

2x + 27 + 2x - 11 = 100

4x + 16 = 100 ( subtract 16 from both sides )

4x = 84 ( divide both sides by 4 )

x = 21

Hence ∠JKL = 2x - 11 = (2 × 21) - 11 = 42 - 11 = 31°

3 0

4 years ago

1/7 (x-3) = 5/7 ? solve for x.

yuradex [85]

1/7 (x - 3) = 5/7
1/7x - 3/7 = 5/7
1/7x - 3/7 + 3/7 = 5/7 + 3/7
1/7x = 8/7
1/7x(7) = 8/7(7)
X = 56/7
X = 8

4 0

3 years ago

The sum of two numbers is 98 and the difference between them is 48. find the two numbers.

zavuch27 [327]

So first what you want to do is take 98 and subtract it by 48. Which gives us 50. Now what we do is that since we are finding two numbers we would have to divide that by half, which would give us 25. Both of them are now equal. To find the number that makes that difference, we need to add 48 to one of the 25 values. Which would be 73. Meaning that the two numbers are 73 and 25. They both add up to 98 and 73 has a difference of 48 from 25.

3 0

3 years ago

Question 6 of 9 (3•8) • 1 = 3 • (8.1) O A. True B. False

olga nikolaevna [1]

Answer:

No, (false). The question I assume was: $(3*8)*1=3*(8.1)$

Step-by-step explanation:

1. Multiple: 3 * 8 = 24

2. Multiple: The result of step No. 1: * 1 = 24 * 1 = 24

3. Conversion a decimal number to a fraction: 8.1 = $\frac{81}{10}$ = $\frac{81}{10}$

a) Write down the decimal 8.1 divided by 1: 8.1 = $\frac{81}{1}$

b) Multiply both top and bottom by 10 for every number after the

decimal point. (For example, if there are two numbers after the decimal

point, then use 100, if there are three then use 1000, etc.)

$\frac{8.1}{1}$ = $\frac{81}{10}$

Note: $\frac{81}{10}$ is called a decimal fraction.

c) Simplify and reduce the fraction

$\frac{81}{10} = \frac{81*1}{10*1} = \frac{81}{10}$

4. Multiple: 3 * 8.1 = $\frac{3*81}{1*10}$ = $\frac{243}{10}$

Multiply both numerators and denominators. Result fraction keep to lowest

possible denominator GCD(243, 10) = 1. In the next intermediate step the

fraction result cannot be further simplified by canceling.

In words - three multiplied by eighty-one tenths = two hundred forty-three

tenths.

5. Compare: The result of step No. 2 vs The result of step No. 4: = 24 vs $\frac{243}{10}$ = $\frac{24}{1}$ vs $\frac{243}{10}$ = $\frac{24*10}{1*10}$ vs $\frac{243}{10}$ = $\frac{240}{10}$ vs $\frac{243}{10}$ = 240 vs 243 = No