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Romashka [77]
3 years ago
9

A person's hourly pay rate, r, is found by dividing the total amount

Mathematics
1 answer:
marishachu [46]3 years ago
4 0

Translating the words into formula, we have

r = \dfrac{p}{w}

In fact, we have that the pay rate is the total payment divided by the number of hours worked.

We can solve this formula for w in two steps: starting from the formula above, multiply both sides by w:

rw = p

And then divide both sides by r:

w = \dfrac{p}{r}

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Lily is having her birthday party at Party Place. They charge $45 for the party and $10 for each guest at the party. How many fr
xz_007 [3.2K]

Answer:

Lily can invite 8 friends ,

10 times 8 equals 80

80 plus 45 equals 125

Step-by-step explanation:

4 0
2 years ago
Cody has 7/8 pound of cheese. he uses 1/7 since there are 16 ounces in a pound how much is left
bagirrra123 [75]
Step One
Find the fraction left.
Starting amount = 7/8 pound
Used amount = 1/7 of a pound.

The common denominator of these two fractions is 8 * 7 = 56

Amount left = amount started with - amount used
Amount left = 7/8 - 1/7
Amount left = \frac{7 *7 }{8 * 7} -  \frac{1 * 8}{7 * 8}
Amount left = \frac{49 }{56} - \frac{ 8}{56}
Amount left = 41 / 56 pounds

Step Two
Convert the Answer to ounces.

Ounces = (41/56) * 16 
Ounces = 11.71 ounces  almost 11 3/4
8 0
3 years ago
What is the slope of the line?
mars1129 [50]

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The slope is 1/2

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3 years ago
Find the area and perimeter of ABC at right. Give approximate (decimal) answers, not exact answers
Sever21 [200]

Answer:

Area of Δ ABC = 21.86 units square

Perimeter of Δ ABC = 24.59 units

Step-by-step explanation:

Given:

In Δ ABC

∠A=45°

∠C=30°

Height of triangle = 4 units.

To find area and perimeter of triangle we need to find the sides of the triangle.

Naming the end point of altitude as 'D'

Given BD\perp AC

For Δ ABD

Since its a right triangle with one angle 45°, it means it is a special 45-45-90 triangle.

The sides of 45-45-90 triangle is given as:

Leg1 =x

Leg2 =x

Hypotenuse =x\sqrt2

where x is any positive number

We are given BD(Leg 1)=4

∴ AD(Leg2)=4

∴ AB (hypotenuse) =4\sqrt2=5.66  

For Δ CBD

Since its a right triangle with one angle 30°, it means it is a special 30-60-90 triangle.

The sides of 30-60-90 triangle is given as:

Leg1(side opposite 30° angle) =x

Leg2(side opposite 60° angle) =x\sqrt3

Hypotenuse =2x

where x is any positive number

We are given BD(Leg 1)=4

∴ CD(Leg2) =4\sqrt3=6.93

∴ BC (hypotenuse) =2\times 4=8  

Length of side AC is given as sum of segments AD and CD

AC=AD+CD=4+6.93=10.93

Perimeter of Δ ABC= Sum of sides of triangle

⇒ AB+BC+AC

⇒ 5.66+8+10.93

⇒ 24.59 units

Area of Δ ABC = \frac{1}{2}\times base\times height

⇒  \frac{1}{2}\times 10.93\times 4

⇒ 21.86 units square

5 0
3 years ago
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