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vovangra [49]
2 years ago
10

The sum of two numbers is 48.when the smaller number is subtracted from the larger number,the difference is 12. What are the two

numbers
Mathematics
1 answer:
Savatey [412]2 years ago
5 0

Answer:

The two numbers are:

30 and 18

Step-by-step explanation:

a + b = 48

a - b = 12

From the first eq.

a = 48 - b

Replacing this last value in the second eq.

(48 - b) - b = 12

48 - 2b = 12

48 - 12 = 2b

36 = 2b

36/2 = b

18 = b

from the first eq.

a + 18 = 48

a = 48 - 18

a = 30

Check:

from the second eq.

a - b = 12

30 - 18 = 12  

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James gathered 12kg of nuts more than Henry gathered. What
docker41 [41]

Answer:

<u>6 kg</u>

Step-by-step explanation:

J = mass of nuts gathered by James

H = mass of nuts gathered by Harry

J = 12 + H

J = 3H

     3H = 12 + H

3H - H = 12 + H - H

     2H = 12

       H = 6 kg

J = 18 kg

7 0
2 years ago
99 X 99 X 99 / 9 - 99 /99 PLEASE EXPLAIN ;)
charle [14.2K]

Answer:

107810

Step-by-step explanation:

You can use the order of operations! So we start with 99^3/9. That is 99^2*11. So now let’s do 99/99, it’s 1. So 99^2*11 is 107811, so the answer is 107810.

8 0
3 years ago
Read 2 more answers
Sloane kicked a soccer ball at a speed of 56 feet per second. If the ball never leaves the ground, then it can be represented by
aksik [14]

Answer:

Third option: t=3.5\ seconds

Step-by-step explanation:

Given the function:

 H(t)=-16t^2 +56t

 Since the ball never leaves the ground, you need to  substitute H(t)= 0 in the function in order to determine the time the soccer ball traveled:

0=-16t^2 +56t

Factorizing, you get:

0=-8t(2t-7)

Then:

0=-8t\\\\t=0\ seconds\\\\\\\\0=2t-7\\\\7=2t\\\\t=3.5\ seconds

Therefore the time the ball traveled was:

t=3.5\ seconds

3 0
2 years ago
A group of researchers wants to know whether men are more likely than women to contract a novel coronavirus. They surveyed two r
olasank [31]

Answer:

Test statistic Z= 0.13008 < 1.96 at 0.10 level of significance

null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

Step-by-step explanation:

<em>Step(I)</em>:-

Given surveyed two random samples of 390 men and 360 women who were tested

first sample proportion

                    p_{1} = \frac{360}{390} = 0.9230

second sample proportion

                  p_{2} = \frac{47}{52} = 0.9038

Step(ii):-

Null hypothesis : H₀ : There is no difference  proportion of positive tests among men is different from the proportion of positive tests among women

Alternative Hypothesis:-

There is difference between proportion of positive tests among men is different from the proportion of positive tests among women

 

Z = \frac{p_{1}- p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} }  } }

where

          P = \frac{n_{1}p_{1} +n_{2}  p_{2} }{n_{1}+n_{2}  }

         P =  0.920

Z= \frac{0.9230-0.9038}{\sqrt{0.920 X0.08(\frac{1}{390}+\frac{1}{52}  } )}

Test statistic Z =  0.13008

Level of significance = 0.10

The critical value Z₀.₁₀ = 1.645

Test statistic Z=0.13008 < 1.645 at 0.1 level of significance

Null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women







7 0
3 years ago
The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?
Scilla [17]
The slope-intercept form is:
y = mx + b
where m = slope, and b = y-intercept.
You need a slope of 1, so m = 1.
You need a y-intercept of -1, so b = -1.
Replace m with 1 and b with -1 in the slope intercept form to get

y = 1x + (-1)

which simplifies to

y = x - 1
3 0
3 years ago
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