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luda_lava [24]
3 years ago
13

From the set of 5, 6, 38 use substitution to determine which value of x makes the equation true.

Mathematics
1 answer:
Vika [28.1K]3 years ago
6 0

Answer:5

Step-by-step explanation:33 + 5 =38 * 6= 228

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A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is
Nata [24]

the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75

<u>Step-by-step explanation:</u>

Given A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11. For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23 . We have to find the cost for each pound of trail mix and each pound of jelly beans.

Let the cost of each pound of trail mix is $y.

and  the cost of each pound of jelly beans is $x.

According to question,

For   3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11.

⇒ 3x+2y=11  →  (1)

For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23

⇒ 5x+6y=23 →  (2)

Solving (1) and (2), we get

3(1 equation)-(2 equation)=0

⇒3(3x+2y)-5x-6y=3(11)-23

⇒9x+6y-5x-6y=10

hence,

⇒4x=10

⇒x=2.5

Putting x=2.5 in  3x+2y=11  we get ;

⇒  3x+2y=11

⇒  3(2.5)+2y=11

⇒  2y=11-7.5=3.5

⇒  y=1.75

Hence, the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75 .

6 0
3 years ago
In a New York Times/CBS News Poll, respondents were asked if it should be legal or illegal to send a text message while driving.
AnnZ [28]

Answer: \dfrac2{201}

Step-by-step explanation:

Number of persons said it is legal to text while driving = 8

Number of persons said it is illegal to text while driving = 804

Total persons sampled = 804+8 = 812

Since probability =\dfrac{\text{favorable outcomes}}{\text{Total outcomes}}

The probability of randomly selecting someone who believes it should be legal to text while driving = \dfrac{8}{804}=\dfrac2{201}

Required probability = \dfrac2{201}

7 0
2 years ago
What is 0.01% written as a decimal
NikAS [45]
I am pretty confident its 1.0
5 0
3 years ago
Read 2 more answers
An item is regularly priced at $31. It is now priced at a discount of 55% off the regular price.
Alekssandra [29.7K]
17.05 I think..
this could be it idrk what it is
5 0
3 years ago
an Carlos County Health Department reported 17 new cases of tuberculosis in the first half of 2001 and 18 additional cases durin
Tpy6a [65]

Answer:

San Carlos County

Step-by-step explanation:

a) Data and Calculations:

Number of cases of tuberculosis reported in the first half of 2001 = 17

Number of cases of tuberculosis reported in the second half = 18

Total number of cases reported = 35 (17 + 18)

Population of the county at the beginning of 2001 = 204,500

Population of the county at the end of the year = 215,000

Average population for the year = 209,750 (204,500 + 215,000)/2

Therefore, the incidence rate of tuberculosis in the county = 35/209,750 * 100

= 0.000167

b) Since the incidence rate is <1, it suggests that the population of San Carlos County is at a very reduced risk of exposure to tuberculosis.  This means that only 1 in 6,000 (209,750/35) people are exposed to the disease in the county.

5 0
2 years ago
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