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Ipatiy [6.2K]
2 years ago
7

Kelly needs to order lunch for orders 6 people at a business meeting. Her menu choices are chicken salad for a cost of $5 per pe

rson and egg salad for a cost of $4 per person. She only has $28 to spend. More people want chicken salad. 1. Write and graph one equation in a system for this situation. _______________________________
Mathematics
2 answers:
Allushta [10]2 years ago
5 0
By Saying more people want chicken salad you have 4,5, or 6 people if you do 5*5=25$, but you need 5 more dollars since 4*2 for the remaining people, so that doesn't work, now 4*5=20 and with the additional 8 dollars you buy two egg salads.
lora16 [44]2 years ago
4 0
I would go with 4 chicken salads and two egg plants. What kind of equations have you been learning lately?
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Mia has 1/2 of a pizza. She divides it equally among 4 people. Which model shows the fraction of a whole pizza each person gets
Llana [10]

Each person gets \frac{1}{8} of whole pizza

<em><u>Solution:</u></em>

Given that Mia has \frac{1}{2} of a pizza

She divides it equally among 4 people

<em><u>To find: Fraction of a whole pizza each person gets</u></em>

From statement,

\frac{1}{2} of pizza is divided equally among 4 people

Therefore, to find the fraction of whole pizza each person gets, we can divide the \frac{1}{2} by 4 people

\text{fraction each person gets } = \frac{\frac{1}{2}}{4}\\\\\text{fraction each person gets } = \frac{1}{2} \times \frac{1}{4}\\\\\text{fraction each person gets } = \frac{1}{8}

Thus each person gets \frac{1}{8} of whole pizza

3 0
2 years ago
Giuliana has 22 quarters and dollar coins worth a total of $10.75.
sertanlavr [38]
Use the letters q and d to represent # of quarters and # of dollars.

q + d = 22 coins.

$0.25q + $1.00d = $10.75        Mult. this by 100 to eliminate fractions:
                                                 25q + 100d = 1075

Subst. q = 22 - d into the 2nd equation:

25 (22  - d) + 100 d = 1075

550 - 25d + 100d = 1075
550 + 75d = 1075
           75 d = 525
                 d = 7

q + d = 22, so if d = 7, then q = 22-7, or q=15.

There are 15 quarters and 7 dimes.
7 0
2 years ago
Read 2 more answers
COHEA 8th Grade Test 1
abruzzese [7]

Answer:d

Step-by-step explanation:

7 0
2 years ago
Sharon pays $98.75 for twenty-five 14-ounce boxes of Yummy flakes cereal. How much does on box of cereal cost
Viefleur [7K]

Answer:

$3.95

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Two boats leave port at noon. Boat 1 sails due east at 12 knots. Boat 2 sails due south at 8 knots. At 2 pm the wind diminishes
Ivan

Answer:

14.86 knots.

Step-by-step explanation:

<em>Given that:</em>

The boats leave the port at noon.

Speed of boat 1 = 12 knots due east

Speed of boat 2 = 8 knots due south

At 2 pm:

Distance traveled by boat 1 = 24 units due east

Distance traveled by boat 2 = 16 units due south

Now, speed of boat 1 changes to 9 knots:

At 3 pm:

Distance traveled by boat 1 = 24 + 9= 33 units due east

Distance traveled by boat 2 = 16+8 = 24 units due south

Now, speed of boat 1 changes to 8+7 = 15 knots

At 5 pm:

Distance traveled by boat 1 = 33 + 2\times 9= 51 units due east

Distance traveled by boat 2 = 24 + 2 \times 15 = 54 units due south

Now, the situation of distance traveled can be seen by the attached right angled \triangle AOB.

O is the port and A is the location of boat 1

B is the location of boat 2.

Using pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^{2} = 51^{2} + 54^{2}\\\Rightarrow AB^{2} = 2601+ 2916 = 5517\\\Rightarrow AB = 74.28\ units

so, the total distance between the two boats is 74.28 units.

Change in distance per hour = \dfrac{Total\ distance}{Total\ time}

\Rightarrow \dfrac{74.28}{5} = 14.86\ knots

6 0
2 years ago
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