Ask question

Ask question

All categories

2 years ago

10

Part A: Find a rational number that is between 7.7 and 7.9. Explain why it is rational. (2 points)

1 answer:

cluponka [151]2 years ago

7 0

Part A.
7.8 is a rational number between 7.7 and 7.9.
It is rational because it can be written as a fraction of integers, such as 78/10.

Part B.
sqrt(60) = 7.75
sqrt(60) cannot be written as a fraction of integers. It is a decimal number that never ends and never repeats.

You might be interested in

Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. Parallelogram A B C

zimovet [89]

Answer:

60 cm

Step-by-step explanation:

Parallelogram ABCD is shown in attached diagram. The diagonals of the parallelogram bisect each other, so

AE = EC

BE = ED

Ib DE = 3y + 6 cm, BE = 5y - 10 cm, then

$3y+6=5y-10\\ \\3y-5y=-10-6\\ \\-2y=-16\\ \\2y=16\\ \\y=8\ cm$

Now, EC = 2y + 4, so

$EC=2\cdot 8+4=16+4=20\ cm$

Since AE = EC, then AE = 20 cm

The brace that connects points B and D has the length

$BD=BE+ED=3y+6+5y-10=8y-4=8\cdot 8-4=64-4=60\ cm$

The brace that connects points A and C has the length

$AC=AE+EC=20+20=40\ cm$

8 0

2 years ago

Read 2 more answers

40% of OatyPop cereal boxes contain a prize. Hannah plans to keep buying cereal until she gets a prize. What is the probability

Lilit [14]

Answer:

the probability is 78.4%

Step-by-step explanation:

there are 3 scenarios

1) gets the price in the 1st box:

the probability is:

P = probability to obtain a price = 4/10= 40%

2) gets the price in the 2nd box

P= probability to fail in the fist box * probability to obtain a price

P= (6/10)*(4/10)=24/100 = 24%

3) gets the price in the 3rd box

P =probability to fail in the first box * probability to fail in the second box*probability to obtain a price =(6/10)*(6/10)*(4/10)=144/1000 = 14,4%

therefore the probability to obtain a price in 3 or less boxes is:

P = 40%+24%+14.4%= 78.4%

7 0

2 years ago

Read 2 more answers

Katie buy a necklace for $14.50 plus a 6% tax, Sharon buys a bracelet for $12 plus a 6%tax.

UNO [17]

Answer:

28.09 for both including taxes

Step-by-step explanation:

6% of $14.50 is $0.87. 6% of $12 is $0.72. Together the values add up to $28.09.

5 0

2 years ago

Derrick needs to figure out how he’s doing on his test scores so far this year. You can help by calculating the mean and the med

romanna [79]

Answer:

74.4 ,81.5 , median

Step-by-step explanation:

ed20 answers

4 0

2 years ago

Read 2 more answers

During a sale, 20-cent candy bars were sold at 3 for 50 cents. How much is saved on 9 bars?

Mazyrski [523]

Answer:

Step-by-step explanation:

$0.30

Step-by-step explanation:

1 bar of candy = $0.20

3 bars of candy = $0.50

To solve, multiply for both:

If you pay for each candy bar individually, they each cost $0.20. Multiply 9 with 0.20:

9 x 0.20 = $1.80

If you pay for the candy bars by 3's, they cost $0.50 each pack. Divide 9 with 3, then multiply by 0.50:

9/3 = 3

3 x 0.50 = $1.50

Subtract the total cost of the individual from the pack:

$1.80 - $1.50 = $0.30

. $0.30 is your answer.

8 0

2 years ago