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3 years ago

11. Kevin is comparing job offers at two stores.

Mathematics

1 answer:

hoa [83]3 years ago

8 0

Answer:

Kevin's weekly sales will have to be worth more than $4000 in order for Dollar Deal to pay more.

Step-by-step explanation:

Dollar Deal offers $8/h plus 10% commission.

If he spends x hours, then offer after x hours and s amount from sales is;

8x + 10%s

This can be rewritten as; 8x + 0.1s

Now, Great Discounts offers $18/h with no commission.

Thus after 8 hours for 5 days, total number of hours = 40 hours.

Thus, great discounts offer = 18 × 40 = $720

Now, dollar deal will offer; 8(40) + 0.1s = 320 + 0.1s

Thus, for dollar deal to pay more weekly, then;

320 + 0.1s > 720

0.1s > 720 - 320

0.1s > 400

s > 400/0.1

s > 4000

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7. What is the cardinality of each of the following sets?

zysi [14]

Answer:

The cardinality of set (a) is 0,

the cardinality of set (b) is 1

and

the cardinality of set (c) is 3.

Step-by-step explanation: We are given to find the cardinality of each of the following sets :

(a) { }.

(b) { { } }.

We know that

CARDINALITY of a set is the number of elements present in the set.

(a) The given set is A = { }.

The set A is an empty set, so it does not contain any element. Hence, the cardinality of the set A is 0.

(b) The given set is B = { { } }.

The set is B is singleton set, contains only one element (that is empty set). So, the cardinality of the set B is 1.

(c) The given set is C = {a, {a}, {a, {a}} }.

The set C has three elements, a, the set {a} and the set {a, {a}}. So, the the cardinality of set C is 3.

Thus,

the cardinality of set (a) is 0,

the cardinality of set (b) is 1

and

the cardinality of set (c) is 3.

8 0

3 years ago

Help as soon as possible!!!!

yuradex [85]

2 = 1.313 is the right answer
3 = 24 is the right answer
4 = 27 is the right answer

7 0

4 years ago

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Point E is between points D and F. If DE = x − 2, EF = 6x + 4, and DF = 8x − 2, find x

Arlecino [84]

DE + EF = DF

x - 2 + 6x + 4 = 8x - 2
7x + 2 = 8x - 2
2 + 2 = 8x - 7x
4 = x <===

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3 years ago

A circle with radius of 4 cm sits inside a circle with radius of 11 cm.

kap26 [50]

The area of the shaded region = 330 sq cm

Step-by-step explanation:

Given,

The radius of small circle (r) = 4 cm

The radius of large circle (R) = 11 cm

To find the shaded region

Formula

The area of circle of radius r = π $r^{2}$ sq cm

So, The radius of the small circle = π× $4^{2}$ sq cm = 16π sq cm

The radius of the large circle = π× $11^{2}$ sq cm = 121π sq cm

Hence the area of the shaded region = 121π-16π sq cm

= 105π sq cm

= 105 × $\frac{22}{7}$ sq cm = 330 sq cm

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3 years ago

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Scar travels 350 miles on 20 gallons of gasoline. How many gallons will be used to travel 875 miles under the same conditions?

Hatshy [7]

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