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Diano4ka-milaya [45]
3 years ago
9

At a store, Eva bought two shirts and five hats for $154.00. Nicole bought three same shirts and four same hats for $168.00. wha

t is the price of each shirt
Mathematics
2 answers:
Kazeer [188]3 years ago
8 0

Answer:

shirts are $32 each and hats are $18 each

Step-by-step explanation:

x = shirts

y = hats

2x + 5y = 154

3x + 4y = 168

use either substitution or elimination

x = $32

y = $18

Tema [17]3 years ago
7 0

Answer:

the price of the shirt is 32

the price of each hat is 18

Step-by-step explanation:

let x represent the shirts

and y for hats

2x+5y=154   ( Eva)

3x+4y=168    (Nicole)

solve by elimination/ subtraction  

multiply first equation by (3 ) : 6x+15y=462

multiply second equation by2: 6x+8y=336

subtract both equations :

6x+15y-6x-8y=462-336

7y= 126

y=126/7=18 ( the price of one hat)

2x+5y=154

2x+5(18)=154

2x=154-90

x=64/2

x=32 ( price of 1 shirt )

xheck :

2(32)+5(18)=154

64+90=154

154=154 (correct)

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g Nationwide, a certain disease occurs only a small proportion of people (.000215). A certain town has 74,000 residents. Use the
Andrei [34K]

Answer:

The probability that the town has 30 or fewer residents with the illness = 0.00052.

Step-by-step explanation:

So, we have the following set of data or information or parameters given from the question above and they are; the number of people living in that particular society/community/town = 74,000 residents and the proportion of people that the diseases affected = .000215.

The first step to do is to determine the expected number of people with disease. Thus, the expected number of people with disease = 74,000 × .000215 = 15.91.

Hence, the probability that the town has 30 or fewer residents with the illness = 1.23 × 10^-7 × 15.91^30/ 2.65253 × 10^-32 = 0.00052.

Note the formula used in the calculating the probability that the town has 30 or fewer residents with the illness =  e^-λ × λ^x/ x!

8 0
2 years ago
PLEASE HELP I REALLY NEED IT!!!! WORTH 100 POINTS
-Dominant- [34]

Answer:

Question 1 : The answer is 143.3 miles

Question 2 : The answer is 120 minutes

Step-by-step explanation:

1.Based on the give conditions:

43 \times 90 \div 27 \\ calculate \frac{43 \times 90}{27}  =  \frac{430}{3}= 143.3

2. 90 miles = 75min

143.3 ÷ 90 = 1.6

75 × 1.6 = 120

so the answer is 120 min

3 0
1 year ago
Plz help meeeeeeeeeee
PSYCHO15rus [73]

Answer:

Please check the explanation.

Step-by-step explanation:

We know the equation

y = kx

k = y/x

where k is the proportionality constant

so,

First ratio can be calculated as

Miles = 45

Hours = 3/4

The ratio = 45 / (3/4)

                = (45 × 4) / 3

                = 180/3

                = 60

Thus, the proportionality constant = 60

Thus, the remaining ratios can be calculated as:

The Pair (135, Hours)

135/Hours = 60

Hours = 135 / 60

           = 27/12

           = 9/4

           = 2.25

Thus, the pair is (135, 2.25)

The Pair (Miles, 3)

Miles/3 = 60

Miles = 60×3

         = 180

The Pair (90, Hours)

90/Hours = 60

Hours = 90 / 60

          = 3/2

          = 1.5

Thus, the complete table:

Miles           45           135           180             90

Hours           3/4          9/4           3                 3/2

Verification:

Miles / Hour =  45/(3/4) = 60

Miles / Hour = 135 / 2.25 =  60

Miles / Hour = 180 / 3 = 60

Miles / Hour  = 90 / 1.5 =  60      

8 0
2 years ago
Henry wants to pour 57.93 grams of salt into a container. So far, he has poured 28.3 grams. How much more salt should Henry pour
-BARSIC- [3]

Answer:

29.63

Step-by-step explanation:

Since there is already 28.3 grams in the container, you just have to subtract 57.93 and 28.3 to get your answer because 57.93 is the total.

7 0
3 years ago
5x + (1x+6)= 78<br> BARDZO POTRZEBUJĘ
kifflom [539]

Answer:   x = 12

Step-by-step explanation:  

1. add 5x + 1x which will equal 6x so now your equation is:  6x + 6 = 78

2. subtract 6 from 78 to get 72:  6x = 72

3. divide 72 by 6x to get your answer 12

5 0
3 years ago
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