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3 years ago

Can Someone Help Me With This:

Mathematics

2 answers:

andriy [413]3 years ago

3 0

Answer:

a) 31/33
b) $124
c) $930

Step-by-step explanation:

a) You want the ratio ...

(Salena's earnings)/(Drew's earnings)

It is convenient to fill in the numbers from the first line of the table:

(Salena's earnings)/(Drew's earnings) = 31/33

b) Salena's earnings in 4 days will be double her earnings in 2 days.

4 days' earnings = 2×$62 = $124

c) Salena's earnings in 30 days will be 10 times her earnings in 3 days.

30 days' earnings = 10×$93 = $930

_____

Alternate solution

You can go to the trouble to write an equation for Salena's earnings (s) in terms of the number of days (d). That would be ...

s = 31d

Then you can fill in d=4 or d=30 to find her earnings for 4 or 30 days. For this problem, enough information is given in the table that shortcuts can be used, simplifying the problem immensely.

Archy [21]3 years ago

3 0

Answer:

a) 31/33

b) $124

c) $930

there is know way i can get bran-list compared to the employe of the month

Step-by-step explanation:

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What should the following equation be multiplied by in order to eliminate the fractions? x/2 + x/3 = 25/3

tatuchka [14]

Answer:

Step-by-step explanation:

4 0

3 years ago

Find the area of the region bounded by the line y=3x-6 and line y=-2x+8.

Vikentia [17]

Answer:

A = 12/5 units

Step-by-step explanation:

USING ALGEBRA:

We can find the intersection point between these two lines;

y = 3x - 6

y = -2x + 8

Set these two equations equal to each other.

3x - 6 = -2x + 8

Add 2x to both sides of the equation.

5x - 6 = 8

Add 6 to both sides of the equation.

5x = 14

Divide both sides of the equation by 5.

x = 14/5

Find the y-value where these points intersect by plugging this x-value back into either equation.

y = 3(14/5) - 6

Multiply and simplify.

y = 42/5 - 6

Multiply 6 by (5/5) to get common denominators.

y = 42/5 - 30/5

Subtract and simplify.

y = 12/5

These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.

Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.

Set both equations equal to 0.

(I) 0 = 3x - 6

Add 6 both sides of the equation.

6 = 3x

Divide both sides of the equation by 3.

x = 2

Set the second equation equal to 0.

(II) 0 = -2x + 8

Add 2x to both sides of the equation.

2x = 8

Divide both sides of the equation by 2.

x = 4

The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.

The height of the triangle is 12/5 units.

Formula for the Area of a Triangle:

A = 1/2bh

Substitute 2 for b and 14/5 for h.

A = (1/2) · (2) · (12/5)

Multiply and simplify.

A = 12/5

The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.

3 0

2 years ago

Rena spent 6 days reading her book completing the same fraction of the book each day if she had a total of 8/9 of her book after

Artyom0805 [142]

Answer:

The fraction of the book that Rena read every day is $\frac{4}{27}$

Step-by-step explanation:

Rena spent 6 days reading her book completing the same fraction of the book every day and you want to know the fraction of the book she read each day. Knowing that Rena had a total of 8/9 of her book read after 6 days, then you simply divide the total amount of the book read during those days by 6, the number of days:

$\frac{8}{9}$ ÷6

To divide a fraction by a whole number, you must convert the whole number into a fraction, finding the reciprocal of that fraction, and multiply it by the first fraction. That is, you must find the reciprocal of the number that is after the division symbol; and then you multiply the first number (the one before the division symbol) by the reciprocal of the second number (the one after the division symbol). Remember that to find the reciprocal of a number, you simply have to change the numerator and denominator of the number.

Since 6 can be considered to be a fraction equal to $\frac{6}{1}$ , by inverting the number, then you get $\frac{1}{6}$