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3 years ago

The starting and finish lines for a yearly race in Columbia are 3 miles apart. How far apart are

Mathematics

1 answer:

fgiga [73]3 years ago

4 0

6 inches. explanation: if 2 in= 1 mile then multiple 2 by 3 (# of miles) & you get 6

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Evelyn went shopping with half of her monthly allowance. She spent $39.95 on a dress and 3/7 of the remainder on some accessorie

Gnoma [55]

Answer:

Evelyn monthly allowance is $187.

Step-by-step explanation:

Let the monthly allowance be 'x'.

Given:

Money taken with for shopping = $\frac{x}{2}$

Money spent of dress = $39.95

Also Given:

3/7 of the remainder on some accessories.

Money spent on accessories is equal to $\frac{3}{7}$ times Difference of monthly allowance and Money spent of dress.

framing in equation form we get;

Money spent on accessories = $\frac{3}{7}\times(\frac{x}{2}-39.95)$

Also Given:

Money left after shopping = $30.60

Now we know that;

Money taken with for shopping is equal to sum of Money spent of dress and Money spent on accessories and Money left after shopping.

framing in equation form we get;

$\frac{x}{2}=39.95+\frac{3}{7}(\frac{x}{2}-39.95)+30.60\\\\\frac{x}{2}=39.95+\frac{3x}{14}- 17.12 +30.60$

Combining like terms we get;

$\frac{x}{2}-\frac{3x}{14}=39.95-17.12+30.60\\\\\frac{x}{2}-\frac{3x}{14}= 53.43$

Now we will make denominator common using L.C.M

$\frac{x\times 7}{2\times7}-\frac{3x\times1}{14\times1}= 53.43\\\\\frac{7x}{14}-\frac{3x}{14}= 53.43\\\\\frac{7x-3x}{14}=53.43\\\\\frac{4x}{14}=53.43\\\\4x=53.43\times14\\\\x= \frac{53.43\times14}{4} = \$187$

Hence Evelyn monthly allowance is $187.

3 0

4 years ago

In ABC, if the lengths of sides a and c are 8 centimeters and 16 centimeters, respectively, and the measure of C is 35 degrees,

Simora [160]

Answer:

∠ A ≈ 16.67°

Step-by-step explanation:

Using the Sine rule in Δ ABC

$\frac{a}{sinA}$ = $\frac{c}{sinC}$ , substitute values

$\frac{8}{sinA}$ = $\frac{16}{sin35}$ ( cross- multiply )

16 sinA = 8 sin35° ( divide both sides by 16 )

sin A = $\frac{8sin35}{16}$ , thus

∠ A = $sin^{-1}$ ( $\frac{8sin35}{16}$ ) ≈ 16.67° ( to 2 dec. places )

8 0

3 years ago

ANTONII [103]

3/4 plus 1/4

Step-by-step explanation:

6 0

3 years ago

Which of the following lines is parallel to the line y = 4x - 6?

Dovator [93]

Answer:

d y=4x + 5

Step-by-step explanation:

Is parallel beacause they have the same slope, remember

y=ax + c

where a is the slope of the line

8 0

3 years ago

Finding which number supports the idea that the rational numbers are dense in the real numbers?

allsm [11]

Answer: The terminating decimal between -3.14 and -3.15

Step-by-step explanation: The terminating decimal supports the idea because between -3.14 and -3.15, you are showing that rational numbers include integers,because integers also include negative numbers.

5 0

3 years ago