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Lubov Fominskaja [6]
3 years ago
7

The table below shows Abigail's earnings on the job.

Mathematics
1 answer:
marta [7]3 years ago
4 0

Answer:

Option (2)

Step-by-step explanation:

In this question we have to calculate the rate of earning or proportionality constant of Abigail.

Since, earning of Abigail (y) ∝ Time worked (t)

y = kt

Here, k = Proportionality constant

From the table attached,

If y = $709.80 and x = 21 hours

709.80 = 21k

k = \frac{709.8}{21}

k = $33.80 per hour

Therefore, rat of earning or proportionality constant is $33.80

Option (2) will be the correct option.

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Answer:

interest: 1,800

total: 13,800

Step-by-step explanation:

7 0
3 years ago
I need help! I will give brainliest, if correct!
nekit [7.7K]

<em>kx</em> + <em>z</em> = 3 means <em>z</em> = 3 - <em>kx</em>. Substitute this into the first two equations:

<em>x</em> + <em>y</em> + 3 (3 - <em>kx</em>) = 10   ==>   (1 - 3<em>k</em>) <em>x</em> + <em>y</em> = 1

-4<em>x</em> + 3<em>y</em> + 5 (3 - <em>kx</em>) = 7   ==>   (-4 - 5<em>k</em>) <em>x</em> + 3<em>y</em> = -8

Multiply through the first equation by -3 :

-3 ((1 - 3<em>k</em>) <em>x</em> + <em>y</em>) = -3 (1)   ==>   (-3 + 9<em>k</em>) <em>x</em> - 3<em>y</em> = -3

Add this to the second equation to eliminate <em>y</em> :

((-3 + 9<em>k</em>) <em>x</em> - 3<em>y</em>) + ((-4 - 5<em>k</em>) <em>x</em> + 3<em>y</em>) = -3 + (-8)

(-7 + 4<em>k</em>) <em>x</em> = -11

Normally, you would solve for <em>x</em> by dividing both sides by -7 + 4<em>k</em>. But you can't do that if this turns out to be equal to 0, which happens for

-7 + 4<em>k</em> = 0   ==>   <em>k</em> = 7/4

5 0
3 years ago
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A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to
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Answer:

$33.00 for 22 bottles of water and 1.50 for each bottle.

Step-by-step explanation:

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The amount for each bottle=33 divided by 22=$1.50

7 0
3 years ago
Please help me with this​
Vikentia [17]

Answer:

see explanation

Step-by-step explanation:

2πr (230/360) = 2(3.142)(40) = 160.59 cm = circumference

160.59 = 2πr

base radius = 25.56 cm

Use pythagorean formula for semi-vertical height

40² = h² + 25.56²

h = 30.77 cm

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V = 1/3(3.142)(25.56)²(30.77) = 21,053.98 cm³

6 0
4 years ago
The function M(s) = 225 + 0.65s represents the material cost of manufacturing gardening scissors when s scissors are produced. T
Llana [10]

Answer:

\frac{279 + 1.8s}{s}                                                        

Step-by-step explanation:

The  material cost of manufacturing gardening scissors when s scissors are produced : M(s) = 225 + 0.65s

The labor cost for producing s scissors: L(s) = 54 + 1.15s

So, total cost of producing s scissors =  M(s)+L(s)

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Hence the manufacturing cost per scissors is  \frac{279 + 1.8s}{s}                                                        

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