Factors of 8 that add to 2

When you multiple 2/3 by a fraction less than one, how does the product compare to the fraction?Explain

pentagon [3]

Thanks for the question!

It will be less than the fraction.

Hope this helps!

7 0

3 years ago

What is the difference when the sum of 12 and (-6) is subtracted from the quotient of (-21) and 3?

Bumek [7]

12+(-6)-[(-21)/3]
=6-(-7)=6+7=13

6 0

4 years ago

A woman received 5 per cent interest on a loan of $300 for 1 year. How much interest did she receive? $5 $15 $30 $150 none of th

choli [55]

Answer:

15$

Step-by-step explanation:

this is because if you use our formula of I= prt

we can substitute our varibles for our equation

I= 300 x 0.05 x 1

we turn 5 in 0.05 to represent out rate, due to this our rate would have to be Simplified into a percent then a decimal

after this if we now proceed through our equation we will get

I = 300 x 0.05 x 1

I = 15

6 0

3 years ago

3x - 4y = -16<br> 2x - 4y = -8<br> what is x and y

FinnZ [79.3K]

Answer:

x = -8 , y = -2

Step-by-step explanation:

Solve the following system:

{3 x - 4 y = -16 | (equation 1)

2 x - 4 y = -8 | (equation 2)

Subtract 2/3 × (equation 1) from equation 2:

{3 x - 4 y = -16 | (equation 1)

0 x - (4 y)/3 = 8/3 | (equation 2)

Multiply equation 2 by 3/4:

{3 x - 4 y = -16 | (equation 1)

0 x - y = 2 | (equation 2)

Multiply equation 2 by -1:

{3 x - 4 y = -16 | (equation 1)

0 x+y = -2 | (equation 2)

Add 4 × (equation 2) to equation 1:

{3 x+0 y = -24 | (equation 1)

0 x+y = -2 | (equation 2)

Divide equation 1 by 3:

{x+0 y = -8 | (equation 1)

0 x+y = -2 | (equation 2)

Collect results:

Answer: {x = -8 , y = -2

4 0

3 years ago

The sum of the angles in a hexagon is 720°.

qwelly [4]

Given:

The sum of the angles in a hexagon is 720°.

$m\angle A=90^\circ,m\angle B=126.87^\circ,m\angle C=(3x)^\circ,m\angle D=90^\circ, m\angle E=143.13^\circ, m\angle F=143.13^\circ.$

To find:

(a) Equation to solve the value of x.

(b) The value of x.

(c) The measure of angle C.

Solution:

(a)

We have,

$m\angle A=90^\circ,m\angle B=126.87^\circ,m\angle C=(3x)^\circ,m\angle D=90^\circ, m\angle E=143.13^\circ, m\angle F=143.13^\circ.$

The sum of the angles in a hexagon is 720°.

$m\angle A+m\angle B+m\angle C+m\angle D+m\angle E+m\angle F =270^\circ$

$90^\circ+126.87^\circ+(3x)^\circ+90^\circ+143.13^\circ+143.13^\circ =270^\circ$

$90+126.87+(3x)+90+143.13+143.13 =720$

Therefore, the required equation is $90+126.87+(3x)+90+143.13+143.13 =720$ .

(b)

On solving the above equation, we get

$593.13+3x =720$

$3x =720-593.13$

$3x =126.87$

Divide both sides by 3.

$x =\dfrac{126.87}{3}$

$x =42.29$

Therefore, the value of x is 42.29.

(c)

We need to find the measure of angle C.

$m\angle C=(3x)^\circ$

$m\angle C=(3\times 42.29)^\circ$

$m\angle C=126.87^\circ$

Therefore, the measure of angle C is 126.87 degrees.

7 0

3 years ago