What is the sum or difference of 517 37/50 + 312 3/100

Which rational number equals 0 point 5 with bar over 5? 1 over 50 1 over 5 5 over 10 5 over 9

kolbaska11 [484]

Answer is b or the second option

Step-by-step explanation:

7 0

3 years ago

Need help please and thanks

madreJ [45]

Answer:

2. n = 11

4. g = -2

6. t = 21

8. n = 4

10. y = -1

Step-by-step explanation:

2. 63 = -3(1 - 2n)

Dividing both the side by negative 3 we get

$-21=1-2n\\2n=1+21\\2n=22\\n=\frac{22}{2} \\\therefore n=11$

4. -g + 2(3 + g) = -4(g + 1)

First we will open the bracket by distributive property A( B +C) = AB + AC

$-g+2\times 3 + 2\times g = -4\times g + -4\times 1\\-g+6+ 2g=-4g-4\\\textrm{we will take all the g term the left side and the constant to the right side}\\4g-g+2g=-6-4\\5g=-10\\g=\frac{-10}{5}\\\therefore g=-2$

6.-3(t +5 ) + (4t + 2) = 8

Using distributive property A( B +C) = AB + AC we get

$-3\times t + -3\times 5 + 4t + 2=8\\-3t-15+ 4t + 2=8\\t=8+15-2\\t=21\\\therefore t=21\\$

8. -8 - n = -3(2n -4)

Using distributive property A( B +C) = AB + AC we get

$-8 - n = -3\times 2n - -3\times4\\-8-n=-6n+12\\\textrm{all the n terms to the left inside and the constant of the right-hand side}\\6n-n=8+12\\5n=20\\n=\frac{20}{5}\\ \therefore n= 4$

10. -4( 2 - y) + 3y = 3(y - 4)

Using distributive property A( B +C) = AB + AC we get

$-4\times 2 --4\times y + 3y = 3\times y -3\times 4\\-8+4y+3y =3y-12\\\textrm{all the y terms to the left side and the constant to the right side}\\4y+3y-3y=-12+8\\4y=-4\\y=\frac{-4}{4}\\ \therefore y=-1$

7 0

3 years ago

Find the area of each shape. Show your reasoning.

Troyanec [42]

Answer:

Those areas are: A 1 = 12, A 2 = 19

Step-by-step explanation:

The area of shape 1 : it consists of 1 square + 4 right triangles

Area of the square: A = a², area of the triangle: A = 1/2 · a · h

A 1 = 2² + 4 · 1/2 · 2 · 2 = 4 + 8 = 12

The area of shape 2 : it consists of 2 isosceles triangles

A 2 = 1/2 · 2 · 4 + 1/2 · 6 · 5 = 4 + 15 = 19

3 0

3 years ago

For a particular cargo train, the amount of fuel needed for a trip varies directly with the number of miles it plans on travelin

Katyanochek1 [597]

2250 gallons. You have to think of the ratio. 300•750=225000
225000/100=2250
You have to do cross multiplication

4 0

3 years ago

Read 2 more answers

Suppose a researcher is testing someone to see if he or she can tell Soda X from Soda Y, and the researcher is using 28 trials

AlladinOne [14]

Answer:

The probability that a person will get 17 or more right, if the person is truly guessing, is about 12.9%.

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.

Step-by-step explanation:

The system of hypothesis fo this case are:

Null hypothesis: $p\leq 0.5$

Alternative hypothesis: $p >0.5$

That's a upper right tailed test.

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.

And this value allows to reject or not the null hypothesis.

If $p_v$ we reject the null hypotheis at the significance level. That indicates strong evidence against the null hypothesis, so you reject the null hypothesis.

If $p_v>\alpha$ then we say that we fail to reject the null hypothesis at the significance level. That indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.

5 0

3 years ago