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Lelu [443]
4 years ago
15

Franklin bought 2 pencils for $0.79 each, 4 notebooks for $3.29 each, and a comic book for $1.29. How much change will he receiv

e from $20?
a.
$5.26
b.
$16.03
c.
$3.97
d.
$11.97
Mathematics
1 answer:
masha68 [24]4 years ago
7 0
We are going to take the account step by step.
 We have:
 2 pencils for $ 0.79 each:
 (2) * (0.79) = 1.58 $
 4 notebooks for $ 3.29 each:
 (4) * (3.29) = 13.16 $
 a comic book for $ 1.29:
 (1) * (1.29) = 1.29 $
 The change will be:
 20- (1.58 + 13.16 + 1.29) = 3.97 $
 Answer:
 he will receive from $ 20: 
 c.
 $ 3.97
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Vadim26 [7]

Answer:

The maximum value of C is 68

Step-by-step explanation:

we have the following constraints

x\geq 0 ----> constraint A

x\leq 5 ----> constraint B

y\geq 0 ----> constraint C

4x-y\geq 1 ----> constraint D

Find out the area of the feasible region, using a graphing tool

The vertices of the feasible region are

(0,0),(5,19),(5,0)

see the attached figure

To find out the maximum value of the objective function C, substitute the value of x and the value of y of each vertex in the objective function and then compare the results

C=6x+2y

For (0,0) -----> C=6(0)+2(0)=0

For (5,19) -----> C=6(5)+2(19)=68

For (5,0) -----> C=6(5)+2(0)=30

therefore

The maximum value of C is 68

8 0
3 years ago
During the past half hour, a restaurant has had 23 orders for Pepsi and 15 orders for Mountain Dew. How many more orders have th
Bess [88]
Lets look at the info we have:-

23 orders for Pepsi.
15 orders for mountain dew.

Question:-
How many more orders have there been for Pepsi than for Mountain Dew?

To answer this we will subtract the amount of Pepsi's ordered by the amount of Mountain Dew's ordered. The answer will be the amount of more Pepsi's ordered than the Mountain Dew's.

23 - 15 = 8
8 more Pepsi's were sold than Mountain Dew's.

CHECK OUR WORK:-

15 + 8 = 23
We were RIGHT!!!

So, 8 more Pepsi's were ordered than Mountain Dew's.

Hope I helped ya!1 xD
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3 years ago
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3 years ago
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Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.
Viefleur [7K]

The correct statement is AngleL = 25° AngleL' = 25°.

We have given that,

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We have to choose the correct option.

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The following information should be considered:

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Reflection, translation, and rotation are rigid transformations.

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