Bella is 10 5/12 years old. Franco is 12 7/12 years old. What is the difference in their ages? Write in simplest form.

Answers

Answer 1
Answer: The answer is 2 1/6. 12 7/12 - 10 5/12 is 2 2/12 which you can simplify to 2 1/6

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On a road map, the distance between 2 cities is 2.5 inches. The map scale is 1 inch: 30 miles. What is the actual distance between the cities?

Answers

Answer:

75 miles.

Step-by-step explanation:

By proportion the actual distance is 2.5 * 30

=    75 miles


What is the sum of the geometric series 2^0 + 2^1 + 2^2 + 2^3 + 2^3 + 2^4 + … + 2^9?

Answers

sum is
S_(n)=(a_(1)(1-r^(n)))/(1-r)

r=common ratio
a1=first term
it looks like 2^0=1 is the first term aka a1
it goes to the 9th term (2^9)

sub
S_(9)=(1(1-(2)^(9)))/(1-2)
S_(9)=(1-512)/(-1)
S_(9)=(-511)/(-1)
S_(9)=511

so this one you don't multiply the base by the exponent. in this case its 2 times two how ever many time the exponent says.
2^0= 2
2^1= 2
2^2=4
2^3= 8
2^4=16
2^5=32
2^6=64
2^7=128
2^8=256
2^9=512
 So then you add all them up 
2+2+4+8+16+32+64+128+256+512= 1024

so there is your answer 1024


Samantha and Henry are planting flowers and they decided that for every 5 tulips, they would like to plant 3 daisies. They need to plant 24 flowers to fill the garden. What number do they need to put into this tape diagram to get a total of 24 flowers?

Answers

Answer:

yw

Step-by-step explanation:

i dont get it

Answer:

Samantha and Henry are would need to plant 15 tulips and 9 daises.

or 3 sets.

Which expression is equivalent to 7 2/3⋅7 1/4?

Answers

Answer:

7^{(11)/(12)}

Step-by-step explanation:

Rule:

a^m * a^n = a^(m + n)

This problem:

7^(2)/(3) * 7^(1)/(4) =

= 7^{(2)/(3) + (1)/(4)}

= 7^{(8)/(12) + (3)/(12)}

= 7^{(11)/(12)}

2p/6-19=-9 What is p?

Answers

(2p)/(6) - 19 = -9

(2p)/(6)  = 10

p = 10 ((6)/(2)

p = 10 (3)

p = 30

Answer: 30


(2p)/(6)  - 19 =  - 9 \n  (2p)/(6)  = 10 \n 2p = 60 \n p = 30

Matthew is driving his car to visit a farm. He covers a distance of 112.25 miles in 60 minutes. He visits a friend on the way, and thereafter drives 45 miles at the same speed. He estimates that he took 30 minutes to cover the last distance. Is this a reasonable estimate?

Answers

Answer: His estimate is not reasonable because the time it took to cover the last distance is 24.1 minutes and it is below his estimate

Step-by-step explanation:

On his way to the farm, he covered a distance of 112.25 miles in 60 minutes.

Speed = distance/time.

So his speed is 112.25/60 = 1.87 miles per hour.

He visits a friend on the way, and thereafter drives 45 miles at the same speed. So he covered 45 miles at a speed of 1.87 miles per minute.

Time taken = distance / speed

Time it took him to cover 45 miles = 45/1.87 = 24.1 minutes