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3 years ago

5

The sum of two numbers is 60. If twice the smaller number is subtracted from the large number, the result is 9. Find the two num

bers

1 answer:

mart [117]3 years ago

6 0

Answer:Therefore the two numbers are -20 and -40

Step-by-step explanation:

Let the two numbers be a and b,

It is given that their sum is 60, so a + b = -60,

It is also given that their difference is 20, so a - b = 20,

Since we don’t know yet which one out of a and b is greater, assume any one of them to be larger than the other (a in my case),

Add the above two equations, you get,

2a = -40 or a = -20,

Substitute this value of a in any of the formed equations,

a + b = -60,

-20 + b = -60 or b = -40,

Let the two numbers be a and b,

It is given that their sum is 60, so a + b = -60,

It is also given that their difference is 20, so a - b = 20,

Since we don’t know yet which one out of a and b is greater, assume any one of them to be larger than the other (a in my case),

Add the above two equations, you get,

2a = -40 or a = -20,

Substitute this value of a in any of the formed equations,

a + b = -60,

-20 + b = -60 or b = -40,

Therefore the two numbers are -20 and -40

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Of 1,050 randomly selected adults, 360 identified themselves as manual laborers, 280 identified themselves as non-manual wage ea

garik1379 [7]

Answer:

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

Step-by-step explanation:

We have a sample of executives, of size n=160, and the proportion that prefer trucks is 26%.

We have to calculate a 95% confidence interval for the proportion.

The sample proportion is p=0.26.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.26*0.74}{160}}\\\\\\ \sigma_p=\sqrt{0.0012}=0.0347$

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_p=1.96 \cdot 0.0347=0.068$

Then, the lower and upper bounds of the confidence interval are:

$LL=p-z \cdot \sigma_p = 0.26-0.068=0.192\\\\UL=p+z \cdot \sigma_p = 0.26+0.068=0.328$

The 95% confidence interval for the population proportion is (0.192, 0.328).

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

3 0

4 years ago

The sum of two numbers is 14. The first number 2/5<br> of the second number. What are the numbers?

Darina [25.2K]

Answer:

10 and 4

Step-by-step explanation:

2/5 of 10 is 4 so that is it

3 0

3 years ago

Each block in Ton’s neighborhood is 2/3 mile long if he walk 4 1/2 blocks how far does he walk?

nataly862011 [7]

if each block is 2/3 miles long, and he walks 4 1/2 blocks, we can simply multiply to two. It looks like this:

(2/3)(4 1/2)

to multiply, make 4 1/2 into an improper fraction and multiply normally

(2/3)(9/4)

Ton walks 3 miles total.

3 0

4 years ago

4x + 3y = 6<br> 3x + 5y = -1<br> Solve the simultaneous equations.<br><br> y= <br> z=

Kisachek [45]

Answer:

x=3, y= -2

Step-by-step explanation:

Multiplying :

(4x+3y =6)*-3

(3x+5y =-1)*4

-12x -9y= -18

12x+20y= -4

Add the equations

20y-9y = -4-18

11y = -22

y= -22/11 = -2

3x +5* -2= -1

3x -10 = -1

3x = 10-1

x= 9/3 =3

4 0

3 years ago

The expression 3/4×1/2 represents a fraction of a circle that is shaded. Which diagram shows the correct shading?

sergiy2304 [10]

Hello,

Here is your answer:

The proper answer to this question is option D.

Here is how:

First solve the equation:

3*1=3
4*2=8

Which means your answer is D.

If you need anymore help feel free to ask me!

Hope this helps!

4 0

3 years ago

Read 2 more answers