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3 years ago

8

Bik was working on memorizing her multiplication facts. she noticed that anytime she multiplied a number by 1, she got the same

number she started with. what property allows this to be true?

1 answer:

ser-zykov [4K]3 years ago

8 0

Answer:

The multiplicative identity property allows this to be true.

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REWARD: 50 points + Brainly to the best answer.<br> Check the file.

Debora [2.8K]

Answer:

a) No because the gallons and quarts of oil you and your friend bought is proportional.

b) Yes because the gallons and quarts of oil are no longer proportional.

c) 1 gallon of gasoline = $3.55

1 quart of oil = $5.00

Step-by-step explanation:

Let g = cost per gallon of gasoline

Let q = cost per quart of oil

a) Creating expressions from the given information:

10g + 2q = 45.50

5g + q = 22.75

From inspection, we can see that if we multiply the second equation by 2, it will give us the first equation. Therefore, they are proportional and we cannot determine the variables.

b) Creating expressions from the given information:

10g + 2q = 45.50

5g + q = 22.75

8g + 2q = 38.40

From inspection, we can see that the third equation is not proportional to equations 1 and 2. Therefore, we can use this equation with either of the other equations to determine the variables.

c)

Using equations 2 and 3 from the previous part (b):

5g + q = 22.75

8g + 2q = 38.40

Rewrite 5g + q = 22.75 to make q the subject:

⇒ q = 22.75 - 5g

Substitute into 8g + 2q = 38.40 and solve for g:

⇒ 8g + 2(22.75 - 5g) = 38.40

⇒ 8g + 45.5 - 10g = 38.40

⇒ 2g = 7.1

⇒ g = 3.55

Substitute found value for g into q = 22.75 - 5g and solve for q:

⇒ q = 22.75 - (5 x 3.55)

⇒ q = 5

3 0

1 year ago

Josh invested $12,000 in mutual funds and received a sum of $20,000 at the end of the investment period. Calculate the ROI.

tresset_1 [31]

Answer:

ROI = 66.67%

Step-by-step explanation:

Given:

josh investment= $12,000

Received sum= $20,000

ROI=?

ROI is the return on investment that gives the loss or gain in any investment and is calculated by the following formula:

ROI= (interest/investment) x 100

Finding interest:

interests= received sum- investment

= 20,000-12,000

=8000

Putting values in ROI formula we get:

ROI= (8000/12000) x 100

= 66.67%

Hence the return on investment is 66.67%!

3 0

3 years ago

The measure of an inscribed circle of an angle is the measure of the intercepted arc

Andre45 [30]

Answer:

(the statement does not appear to be true)

Step-by-step explanation:

I don't think the statement is true, but you CAN compute the intercepted arc from the angle.

Note that BFDG is a convex quadrilateral, so its angles sum to 360. Since we know the inscribed circle touches the angle tangentially, angles BFD and BGD are both right angles, with a measure of 90 degrees.

Therefore, adding the angles together, we have:

alpha + 90 + 90 + <FDG = 360

Therefore, <FDG, the inscribed angle, is 180-alpha (ie, supplementary to alpha)

4 0

3 years ago

Solve the given number problem.

Evgesh-ka [11]

I would say -26 because -22, -24, -26=-72

6 0

2 years ago

Read 2 more answers

ABC is isosceles.<br>m < a = 3x + 40 and m < c = x + 50<br>what is m < a ??

il63 [147K]

Answer:

55°

Step-by-step explanation:

<u>It is assumed the angles A and C are congruent:</u>

3x + 40 = x + 50
3x - x = 50 - 40
2x = 10
x = 5

m∠A = 3*5 + 40 = 55°

7 0

3 years ago

Read 2 more answers