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Dmitry [639]
1 year ago
14

Maria and Liam work in a banquet hall. Maria earns a 20% commission on her food sales. Liam earns a weekly salary of $625 plus a

10% commission on his food sales. What amount of food sales will result in Maria and Liam earning the same amount for the week?
Mathematics
1 answer:
Ksju [112]1 year ago
4 0

Let us say that S is the total food sales therefore we can create the following equation:

0.20 S = 625 + 0.10 S

Solving for S:

0.10 S = 625

S = 6250

 

<span>Therefore the food sales should amount to $6,250</span>

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Three cats and three dogs, A, B, C, D, E, and F, live on a street in three different-coloured houses. Each house hosts one cat a
vaieri [72.5K]

Answer:

1) A is a cat; B is a dog; C is a cat; D is a dog; E is a dog; F is a cat

2) A lives with B in a yellow house; C lives with D in a blue house; E lives with F in a red house.

Step-by-step explanation:

Step 1: First we identify the animals as cats or dogs

A is a cat

B is a Dog

Since B can live with C, C is a cat

Since D can live with A, D is a dog

F is a cat since it can live with D

E is therefore, a dog

Step 2: We then identify the house each two animals live in pairs of a cat and a dog

D lives in a blue house

A lives in a yellow house since it does not live with D or in a red house

C lives with D in a blue house since D does not live with either A or F

E lives in a red house since it does not live with A or in a yellow house

F lives with E in a red house since E does not live with A

Therefore, B lives with A in a yellow house

5 0
2 years ago
Answer below these questions
timurjin [86]

Answer:

A: 6x⁸y⁵

B: 4x⁵z⁸

C: 48a¹²b⁵

D: 6s⁹t³

Step-by-step explanation:

When you multiply 2 exponents together, you add them. When you power an exponent, you multiply the 2 exponents together,

3x²2y⁴(2x⁶y)

6x⁸y⁵

xz³(4x⁴z⁵)

4x⁵z⁸

(4a³)²(3a⁶b⁵)

16a⁶(3a⁶b⁵)

48a¹²b⁵

6s⁵t(s⁴t²)

6s⁹t³

3 0
2 years ago
Dr. Price uses a table to organize the types of sea life and the positions relative to sea level of each location. Complete each
gayaneshka [121]

Answer:

Thinker Toys

Step-by-step explanation:

8 0
1 year ago
In a new card game, you start with a well-shuffled full deck and draw 3 cards without replacement. If you draw 3 hearts, you win
lyudmila [28]

Answer:

Expected pay winning $50= $0.585

Expected pay winning $25= $2.36

Expected pay for anything else= $-4.35

Expected returns=3.59

Expected value for one play= $(-1.41)

Do not play this game because you will lose $1.41

Step-by-step explanation:

Probability P(3 hearts) = (13/52)×(12/51)×(11/50) = 0.013

Probability P(3black)= (26/52)×(24/51)×(23/50) = 0.118

Probability P(drawing anything else)= 1 - 0.013 - 0.118= 0.869

Expected pay($50)= 0.013$(50-5)= $ 0.585

Expected pay($25)= 0.118(25-5)$ = $2.36

Expected pay for anything else= 0.869(0-5)$ =$(-4.347)

Expected value of one play=$ (0.585 + 2.353 -4.347) = -$1.41

c) Do not play the game.

6 0
1 year ago
Stephen says that the numbers 38 and 40 are relatively prime. explain why he is incorrect in making this statement
bonufazy [111]

When you say that two numbers are relatively prime, it means that both numbers do not have a common factor except 1. Stephen is incorrect because 38 and 40 are both multiples of 2.

I hope I answered your question. Thank you <span>J</span>

5 0
2 years ago
Read 2 more answers
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