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Komok [63]
2 years ago
5

If 2 pieces of pizza and 3 candy bars cost $8 and 6 pieces of pizza and 5 candy bars cost $20, what is the cost of one piece of

pizza? What is the cost of one candy bar?
Mathematics
1 answer:
Minchanka [31]2 years ago
4 0

Answer:

One piece of pizza = $2.5

One candy bar = $1

Step-by-step explanation:

Call 1 pizza a, 1 candy bar b. We have:

2a + 3b = $8

=> 3(2a+3b) = 3. $8

= 6a + 9b = $24

and

6a + 5b = $20

=> (6a + 9b) - (6a + 5b) = 9b - 5b = 4b = $24 - $20 = $4

=> b = $1

=> 2a + $3 = $8

=> 2a = $5

=> a = $2.5

So one piece of pizza = $2.5, one candy bar = $1

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Simplify using the distributive property
ad-work [718]

Answer:

3/5 is the number that can be distributed across two terms inside parentheses.

you might not need it but:

x = 5

Step-by-step explanation:

<u>3/5(x - 10)</u> = 18 - 4x - 1

using distributive property, open the parentheses:

<u>3/5x - 6 </u>= 18 - 4x - 1

Simplify:

3/5x + 4x = 17 + 6

4⅗x = 23

x = 5

8 0
3 years ago
Dane są długości przyprostokątnych trójkąta prostokątnego .Oblicz długość jego przeciwprostokątnej .Do obliczeń możesz użyć kalk
Lina20 [59]

Answer:

26

75

37

82

145

34

Step-by-step explanation:

Hypotenuse of a right angle triangle from pythagoras theorem is given by

h²=b²+a²

Making h the subject

h=√(b²+a²)

Where h is hypotenuse, b is base and a is the other side of a triangle

10²+24²=676

√676=26 units

72²+21²=5625

√5625=75 units

12²+35²=1369

√1369=37 units

18²+80²=6724

√6724=82 units

105²+100²=21025

√21025=145 units

16²+30²=1156

√1156=34 units

5 0
3 years ago
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes
DerKrebs [107]

Answer:

a) The probability that this whole shipment will be​ accepted is 30%.

b) Many of the shipments with this rate of defective aspirin tablets will be rejected.

Step-by-step explanation:

We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.

We select a sample of size 48 and test for defectives.

If more than one aspirin is defective, the batch is rejected.

The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48

We have to calculate the probabilities that X is equal or less than 1: P(X≤1).

P(X\leq1)=P(X=0)+P(X=1)\\\\\\P(0)=\binom{48}{0}(0.05)^0(0.95)^{48}=1*1*0.0853=0.0853\\\\\\P(1)=\binom{48}{1}(0.05)^1(0.95)^{47}=48*0.05*0.0897=0.2154\\\\\\P(X\eq1)=0.0853+0.2154=0.3007

8 0
3 years ago
Change the following into mixed fraction 13/5​
Oduvanchick [21]

Answer:

2 3/5

Step-by-step explanation:

13/5​

5 goes into 13 2 time

2*5 =10

13-10 =3

There is 3 left over.  This goes over the denominator

2 3/5

7 0
3 years ago
Read 2 more answers
someone what is the answer to this. I got it wrong and what to do what the answer really is and please be 100 sure with your ans
zubka84 [21]
That would be 12<x
Its not 12 > x because that means that 12 is greater than x which is the same thing as x < 12.
Hope it helps
6 0
3 years ago
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