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snow_lady [41]
3 years ago
6

Convert the following equation into standard form: y=7/3x-10​

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
6 0

Answer:

7/3x -y = 10

Step-by-step explanation:

do you want an explanation?

plz brainliest :)

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Harold stores 10,656 pounds of grain for his 24 cattle. Each cow eats about 12 pounds of grain each day. How many days would the
jasenka [17]
Each cow eats 12 pounds then 24 will eat 288 pounds so to know how many days it will last we will divide 10656 by 288 which is 37

so it will last for 37 days.
3 0
3 years ago
200 meters
Katyanochek1 [597]

Answer:

520 m

Step-by-step explanation:

Perimeter is the distance around a shape. To find the perimeter, you add up all the sides.

200 + 60 + 60 + 200 = 520 m

7 0
2 years ago
Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Li
Fittoniya [83]

Answer:

(a)

r\geq  5

r+y\leq 15

8r+12y\geq 120

y\geq 0

(c)Maximum number of hours Lia can work at the restaurant and still meet her earnings goal = 15 hours

(d)Maximum Earning = $160

Step-by-step explanation:

Let r be the number of hours worked at the restaurant.

Let y be the number of hours of yard work,

Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour.

r\geq  5

Since she does yard work, y\geq 0

Lia’s parents allow her to work a maximum of 15 hours per week overall.

r+y\leq 15

Lia’s goal is to earn at least $120 per week.

The restaurant, r pays $8 per hour

Yard work, y pays $12 per hour.

Therefore:

8r+12y\geq 120

The system of inequalities that represent this problem is therefore:

r\geq  5

r+y\leq 15

8r+12y\geq 120

y\geq 0

(b)The graph of the inequality is attached below

(c)When the graph is plotted, the vertices of the feasible region are:

  • (5,10)
  • (5, 6.7)
  • (15,0)

Where the first term is for the number of hours worked in the restaurant.

The maximum value of r possible is 15 from the three points.

Therefore, she can work at the restaurant for 15 hours and still meet her earning goal.

(d)Maximum Amount Lia can earn in 1 Week

  • At (5,10), Earning=(5X8)+(10X12)=40+120=$160
  • At (5, 6.7), Earning=(5X8)+(6.7X12)=40+80.4=$120.4
  • At (15,0) Earning=(15X8)+(0X12)=$120

Since she has to work at least 5 hours at the restaurant, the maximum amount possible is $160.

8 0
3 years ago
10 points
hoa [83]
13.60 !
because i calculated
8 0
3 years ago
Read 2 more answers
Frank just completed two tests. On his biology test, he earned a 55 while he earned a 70 on his chemistry test. The class averag
Serjik [45]
Since we cannot be 100% sure which test Frank did better on, we need to find a way to make the comparison doable. This can be done by converting Frank's score to the standard score (or also known as the z-score).

The z-score is calculated through the following formula:
Z= \frac{X-mean}{deviation} where X is Frank's original score.

Converting Frank's scores to a standard score accounting for both the mean and standard deviation of the population who took the test will make the comparison possible.

We get the following z-scores after conversion:
Z_{Bio}= \frac{55-60}{10} =-0.5
Z_{Chem}= \frac{70-80}{15} =-0.67

If you read up more on the concept of z-score, you may know that this score just means the amount of standard deviations a data falls with respect to the mean. Comparing Frank's two scores, we can see that they are both below the mean. However, it can be seen that Frank's z-score for his chemistry test is lower than his z-score for his biology test.

This suggests that Frank scored relatively poorer in chemistry than he did in biology.

ANSWER: Frank did better in his biology test.
7 0
2 years ago
Read 2 more answers
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