A farmer notes that in a field full of horses and chickens there are 35 heads and 98 feet. How many of each animal are there?

Answers

Answer 1
Answer:

Answer:

There are 14 horses and 21 chickens.

Step-by-step explanation:

First, you have to make expression for horse and chicken. So we can let x be the number of horses and y will be the number of chickens. Next, given that the total number of feet for both animals is 98 so you have to make simultaneous equation :

4x + 2y = 98

(horse has 4 feet and chicken has 2 feet)

There are a total of 35 heads so the other equation will be :

x + y = 35

Lastly, you have to solve it :

4x + 2y = 98

2(2x + y) = 98

2x + y = 49 -  -  - (1)

x + y = 35 -  -  - (2)

(1) - (2)

2x  + y - x - y = 49 - 35

x = 14

substitute \: x = 14 \: into \: (2)

14 + y = 35

y = 35 - 14

y = 21


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Find the slope (m) and the y-intercept (b) of the given line on the graph. pls show work/explanation!

Answers

Answer:

m= 1/2

b= (0,6)

Step-by-step explanation:

Slope is rise over run

The y intercept is when x=o or just look at the vertical line

1. An equation is shown below.3 (x-2) + 7x= 1/2(6x-2)
How many solutions, if any, does the equation have?

Answers

Answer:

x=5/7

Step-by-step explanation:

3(x-2)+7×=1/2×(6×-2)

3x-6+7×=1/2×2(3×-1)

3×-6+7×=3×-1

-6+7×=-1

7×=-1+6

7×=5

A random sample of size 13 is selected from men with hypertension. For each person, systolic blood pressure was measured right before and one hour after taking the medicine. The mean reduction of the blood pressures was 10.1 and the standard deviation of the difference was 11.2. Test if there is sufficient evidence to conclude that the hypertension medicine lowered blood pressure. What is the value of the test statistic (round off to second decimal place)

Answers

Answer:

Yes, hypertension drugs lowers blood pressure.

Step-by-step explanation:

Claim: The hypertension medicine lowered blood pressure.

The null and alternative hypothesis is

H0:\mu_{d}\geq 0

H1:\mu_{d}< 0

Level of significance = 0.05

Sample size = n = 13

Sample mean of difference = \bar{d} = 10.1

Sample standard deviation of difference = s_{d} = 11.2

Test statistic is

t=\frac{\bar{d}}{s_{d}/\sqrt{n}}

t = ((10.1) / (11.2 /squre root of 13)) = 3.251

Degrees of freedom = n - 1 = 13 - 1 = 12

Critical value =2.179( Using t table)

Test statistic | t | > critical value we reject null hypothesis.

In Conclusion: The hypertension medicine lowered blood pressure

AA
SSS
SAS
Not Similar

Answers

Answer:

vertically opposite angles and alternate pair

so by aa similarity they are similar

What's the nearest integer and the nearest tenth

Answers

Answer:

nearest integer 27 by 4

What is the difference between (4,4) and (1,-3)

Answers

Answer:

7/3

Step-by-step explanation:

If I solved it correctly, you use  y2-y1 / x2-x1. From here you get -3-4/1-4=-7/-3 which when you divide equals 7/3. LMK IF its wrong and ill figure it out champ!