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2 years ago

Wyatt has 34 blocks. Stella has 36 blocks. They give 14 blocks to Henry. Now how many blocks do Wyatt and Stella have?

Mathematics

1 answer:

vitfil [10]2 years ago

7 0

Answer:

$56\ blocks$

Step-by-step explanation:

we know that

1) Originally Wyatt and Stella have $(34+36)=70\ blocks$

2) They give $14\ blocks$ to Henry

therefore

Now

Wyatt and Stella have $(70-14)=56\ blocks$

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If e = 9 cm and f = 40 cm, what is the length of g?

rewona [7]

(9,40,41) is a Pythagorean Triple, farther down the list than teachers usually venture.

Answer: D. 41 cm

There's a subset of Pythagorean Triples where the long leg is one less than the hypotenuse,

a^2+b^2 = (b+1)^2

a^2 + b^2 = b^2 + 2b +1

a^2=2b+1

So we get one for every odd number, since the square of an odd number is odd and the square of an even number is even.

b = (a^2 - 1)/2

a=3, b=(3^2-1)/2=4, c=b+1=5

a=5, b=(5^2-1)/2 =12, c = 13

a=7, b=24, c=25

a=9, b=40, c=41

a=11, b=60, c=61

a=13, b=84, c=85

It's good to be able to recognize Pythagorean Triples when we see them.

Otherwise we'd have to work the calculator:

√(9² + 40²) = √1681 = 41

8 0

2 years ago

On sunday 1/16 people who visit were senior citizens, 3/16 were infants, 3/8 were children and 3/8 were adults, how many of each

mamaluj [8]

Answer:

Out of total people visited the zoo on Sunday , 6.25% was senior citizen , 18.75% were infants , 35% were children and 35% were adult.

Step-by-step explanation:

let total number of people visited the group = x

so number of senior citizens = x × 1/16 = x/16

Percentage of senior citizens = (number of senior citizens ÷ total number of people visited the group) × 100

= (x/16 ÷ x) × 100 = 100/16 = 6.25%

number of infants = 3/16 × x = 3x/16

Percentage of infants =(number of infants ÷ total number of people visited the group) × 100 = (3x/16 ÷ x) × 100 = 300/16 = 18.75%

number of children = 3/8 × x = 3x/8

Percentage of children =(number of children ÷ total number of people visited the group) × 100 = (3x/8 ÷ x) × 100 = 300/8 = 37.5%

number of adults = 3/8 × x = 3x/8

Percentage of adults =(number of adults ÷ total number of people visited the group) × 100 = (3x/8 ÷ x) × 100 = 300/8 = 37.5%.

Hence we can conclude that Out of total people visited the zoo on Sunday , 6.25% was senior citizen , 18.75% were infants , 35% were children and 35% were adult.

4 0

2 years ago

Elizabeth lives in San Francisco and works in Mountain View. In the morning, she has 333 transportation options (take a bus, a c

matrenka [14]

All transportation (bus, cab, train) are all similarly likely to be selected, and 1 of them must be selected at morning and evening, so we get: P (bus) = P (cab) = P (train) = 1/3. We also have P(no cab in evening) = P(no cab at morning) = 2/3
Now, P(using cab exactly once) = P(cab at morning and no cab in the evening) + P(no cab at morning and cab in the evening)
= P(cab, no cab) + P(no cab, cab)
= 1/3 * 2/3 + 2/3 * 1/3
= 2/9 + 2/9
= 4/9
Probability that Elizabeth uses a cab only once is 4/9.

7 0

2 years ago

Read 2 more answers

What is the vertex and the axis of symmetry of the quadratic function graphed below?

Kazeer [188]

The answer is B ! as vertex is (6,3) and axis of symmetry lies on x=6 !

if you need explanation, comment !

8 0

2 years ago

Read 2 more answers

Samuel was riding in the back seat of the station wagon on the way home after a long and tiring day at the

ki77a [65]

Answer: One fourth of the entire trip.

Step-by-step explanation:

The initial distance is D.

" He fell asleep halfway home."

Then he fells asleep when the distance between his actual position and his house was half of D, or:

D/2.

"He didn't wake up until he still had half as far to go as he had already

gone while asleep."

So he wakes up when his actual position is a fourth of the initial distance:

(D/2)/2 = D/4.

Then if the entire trip has a distance D, and he was sleeping between:

D/2 - D/4 = 2D/4 - D/4 = D/4.

in a trip of a distance D, he was asleep a distance of D/4.

Then, returning to the question:

How much of the entire trip home was Samuel asleep?

This is equal to the quotient between the distance that he travels asleep and the total distance:

r = (D/4)/D = 1/4.

Then he was asleep in 1/4 of the entire trip.

7 0

2 years ago