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Ostrovityanka [42]
3 years ago
7

Shayla is having a picnic and wants to buy enough hamburgers so that each guest can have one. If she is planning on having 52 gu

ests, how many packages of 8 hamburgers will she need to buy? Write and solve an inequality.
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
8 0

Answer:

6 ≤ x ≤ 7

Step-by-step explanation:

Dividing 52 by 8 gives you a decimal between 6 and 7. Since you can only but hamburgers in packages of 8, the inequality is 6 ≤ x ≤7 with x being the number of hamburger bags.

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Two teachers purchase supplies for their classrooms.
inna [77]

Answer:

Cost of One Journal =  $3.99

Cost of One pen =  $0.59

Step-by-step explanation:

Let

Cost of One Journal = x

Cost of One pen = y

We can make equation from given statements.

Mr. Bowden purchases 18 journals and 40 pencils for $95.42.

18x+40y=95.42

Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.

11x+16y=53.33

Now solving these equations to find the value of x

18x+40y=95.42--eq(1)\\11x+16y=53.33--eq(2)

Multiply eq(1) with 2 and eq(2) with 5

36x+80y=190.84\\55x+80y=266.65\\-\:\:\:\:-\:\:\:\;\:\:\:\:\:\:\:-\\---------\\-19x=-75.81\\x=\frac{-75.81}{-19}\\x=3.99\\

We get the value of x is: x=3.99

Now, putting value of x in equation 1 to find value of y.

18x+40y=95.42\\18(3.99)+40y=95.42\\71.82+40y=95.42\\40y=95.42-71.82\\40y=23.6\\y=\frac{23.6}{40}\\y= 0.59

So, we get the value of y: y = 0.59

Now, finding the costs:

Cost of One Journal = x = $3.99

Cost of One pen = y = $0.59

7 0
3 years ago
The bisector of an obtuse angle forms right angles acute angles obtuse angles straight angles
Tom [10]

Answer:

acute angles

Step-by-step explanation: sorry i couldnt answer the other one

7 0
4 years ago
Read 2 more answers
HELPPPP !!! ILL GIVE U BRAINLIEST
Pepsi [2]
I believe the answer is D because those equation indicate an area on the negative side
8 0
3 years ago
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How much material was required for each of two dresses of the same size if it took 5 1/2 yards for both
konstantin123 [22]
Since both took 5 1/2 yards then you would have to add 5 1/2 yards together to get 11 yards
5 0
3 years ago
Read 2 more answers
Subtract 8-4 1/2. A. 3 B. 4 C. 4 1/2 D. 3 1/2
Leokris [45]
1.
An expression of the form a \frac{b}{c} is called a "compound fraction"
 
Compound fractions can be written as simple fractions by multiplying c to a, and then adding the product to c as follows:

a \frac{b}{c}= \frac{c.a+b}{c}

for example, 

4\frac{1}{2} can be written as: 

4\frac{1}{2}= \frac{2.4+1}{2}=\frac{9}{2}

2.

when we subtract or add a fraction \frac{m}{n} from an integer k, 

we first write k as a fraction with denominator n. We can do this as follows:

k=k. \frac{n}{n}= \frac{kn}{n}

for example, if we want to subtract \frac{9}{2} from 8, 

we first write 8 as a fraction with denominator 2:

8=8. \frac{2}{2}= \frac{8.2}{2}= \frac{16}{2}

3.

Thus, 

8-4 \frac{1}{2}= \frac{16}{2}- \frac{9}{2}= \frac{16-9}{2}= \frac{7}{2}

4.

The simple fraction 7/2 is not an option, so we write it as a compound fraction as follows:

\frac{7}{2}= \frac{6+1}{2}= \frac{6}{2}+ \frac{1}{2}=3+ \frac{1}{2}=3\frac{1}{2}

(So write 7 as the sum of the largest multiple of 2, smaller than 7 + what is left. In our case these numbers are 6 and 1, then proceed as shown)

5. Answer: D
3 0
3 years ago
Read 2 more answers
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