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Amiraneli [1.4K]
3 years ago
15

What is the slope and y intercept of 2x+3y=1200

Mathematics
1 answer:
Hatshy [7]3 years ago
7 0

Slope is -2/3 and y-intercept is 400

Step-by-step explanation:

  • Step 1: The slope-intercept form of an equation is y = mx + b where m is the slope and b is the y-intercept. Rearrange the given equation to this form to find m and b.

2x + 3y = 1200

3y = -2x + 1200

y = -2/3x + 400

∴ m = -2/3 and b = 400

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A jeweler wants to combine a 60% gold alloy with a 20% gold alloy to make 1000 grams of 50% gold alloy. How many grams of 60% al
kramer

Answer:

750 grams of 60% alloy

Step-by-step explanation:

Define x = amount of 60% alloy and y = amount of 20% alloy

Equating the amounts of gold:

0.6x+0.2y = 1000(0.5)

Since there must be 1000 grams total:

x+y = 1000

Writing the 2 resulting equations together:

0.6x + 0.2y = 500

x + y = 1000

Multiply the first equation by 5:

3x + y = 2500

x + y = 1000

Subtracting the 2nd equation from the 1st:

2x = 1500

x = 750

Answer: 750 grams of 60% alloy

7 0
2 years ago
HELP PLS
Snezhnost [94]

Answer:

a loss of 72.47

Step-by-step explanation:

I got this answer right on my test

6 0
3 years ago
determine if the ordered pair is a solution of the equation is (2 4) a solution of y = -3× - 2? true or false​
vesna_86 [32]

Answer:

False

Step-by-step explanation:

y = -3× - 2

4 = -3(2) - 2

4 = -6 - 2

4 = -8

4 0
3 years ago
The effect of exposure to high-density automobile traffic either as a bicyclist or pedestrian was compared to minimal or no expo
Ber [7]

The option B is correct option. Thus, the Study design is used is a Case control study.

According to the statement

we have given that the incident cases of MI diagnosed in the emergency rooms of several hospitals is 500 and compared to 1,000 other subjects who visited the same emergency rooms for reasons other than cardiovascular and respiratory diseases.

And we have  to find that the all these type of reports are formed which study method in medical science.

So, For this purpose, we know that the

A case control study is a  study that compares two groups of people: those with the disease or condition under study (cases) and a very similar group of people who do not have the disease or condition (controls).

This study is perfectly match with the given condition.

So,

Case-control study is used in it by the below written way:

The study design relies on hospital-based recruitment of cases (persons with an MI) and controls (other patients in the emergency room who did not have cardiovascular and respiratory diseases which may be associated with air pollution). The exposure under investigation is a time-dependent measure of exposure to high-density automobile traffic in the days preceding the emergency room visit.

So, The option B is a correct option. The Study design is used is a Case control study.

Learn more about Case control study here

brainly.com/question/24087096

Disclaimer: This question was incomplete. Please find the full content below.

Question:

The effect of exposure to high-density automobile traffic either as a bicyclist or pedestrian was compared to minimal or no exposure to automobile traffic. It is hypothesized that direct exposure to automobile traffic has an effect on acute myocardial infarction (MI). This association was studied with 500 incident cases of MI diagnosed in the emergency rooms of several hospitals and compared to 1,000 other subjects who visited the same emergency rooms for reasons other than cardiovascular and respiratory diseases. All subjects were asked to report the amount of time that they spent exposed to high-density traffic over the past month prior to their hospital visit.

What type of study design is this?

A) Cross-sectional

B) Case-control

C) Retrospective cohort

D) Prospective cohort

E) Randomized clinical trial

#SPJ4

5 0
2 years ago
A colony of bacteria is growing exponentially according to the function below, where t is in hours. How many bacteria are there
pychu [463]
The growth of the bacteria is expressed as:

<span>B(t) = 4 e^0.8t
</span>
where t is the time in units of hours. If the bacteria is allowed to grow for 8 hours then the number of bacteria present would be,


<span>B(t) = 4 e^0.8(8)
</span><span>B(t) = 2407</span>
5 0
3 years ago
Read 2 more answers
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