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3 years ago

5

In the fifth grade at Lenape Elementary School, there are 4/7 as many girls as there are boys. There are 66 students in the fift

h grade. How many students are girls?

1 answer:

Snowcat [4.5K]3 years ago

4 0

Answer:

40?

Step-by-step explanation:

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Help needed desperately

Aneli [31]

Answer:

80° , 100°, 80°

Step-by-step explanation:

∠ 1 and ∠ 2 form a straight line and sum to 180° , then

2x + 40 + 2y + 40 = 180

2x + 2y + 80 = 180 ( subtract 80 from both sides )

2x + 2y = 100 → (1)

∠ 1 and ∠ 3 are vertical angles and are congruent , then

2x + 40 = x + 2y ( subtract x from both sides )

x + 40 = 2y ( subtract 40 from both sides )

x = 2y - 40 → (2)

Substitute x = 2y - 40 into (1)

2(2y - 40) + 2y = 100

4y - 80 + 2y = 100

6y - 80 = 100 ( add 80 to both sides )

6y = 180 ( divide both sides by 6 )

y = 30

Substitute y = 30 into (2)

x = 2(30) - 40 = 60 - 40 = 20

Thus x = 20 and y = 30

Then

∠ 1 = 2x + 40 = 2(20) + 40 = 40 + 40 = 80°

∠ 2 = 2y + 40 = 2(30) + 40 = 60 + 40 = 100°

∠3 = x + 2y = 20 + 2(30) = 20 + 60 = 80°

8 0

3 years ago

What does it mean when a boy says u tryna hang out but you can’t cuz you ain’t home but then the next day he says you going to c

krek1111 [17]

Answer:

Say your not home!

Step-by-step explanation:

Say your not home,the set a date when yall can meet again!

7 0

3 years ago

The museum's show for July features 30 oil paintings by different artists. All artists show the same number of paintings and eac

Naya [18.7K]

The least amount an artist could show is 2 (since they have to show more than 1)
30 / 2 = 15

15 artists could be featured

6 0

3 years ago

Applying Inverse Properties In Exercise,apply the inverse properties of logarithmic and exponential functions to simplify the ex

pshichka [43]

Answer:

5x + 2

Step-by-step explanation:

Since logarithm has the following property:

If $f(x)=b^x$ and $g(x)=\log_bx$ ,

Then $fog=b^{\log_bx}=x$ and $gof=\log_bbx=x$

Therefore,

$e^{\ln(5x + 2)}=e^{\log_e(5x+2)}=5x+2$

6 0

3 years ago

Pirate Jack has an equal number of gold and silver coins. If Pirate Jack splits all of his coins into 7 equal piles for his parr

Tcecarenko [31]

Answer:

The least possible number of coins the Pirate has = 81

Step-by-step explanation:

Given:

Pirate Jack has equal number of gold and silver coins.

When the pirate splits the coins into 7 equal piles he has 4 coins left.

When the pirate splits the coins into 11 equal piles he has 4 coins left.

Every pile has at least 1 coin.

To find the least possible number of coins Pirate Jack has.

Solution:

In order to find the least possible number of coins pirate Jack has, we must find the least common multiple of the number of piles the coins are split into.

So, the least common multiple of 7 and 11 can be found by listing the multiples.

$7= 7,14,21,28...............,77$

$11=11,22,33,44,55,66,77$

So, we find the least common multiple of 7 and 11 is 77.

Number of coins left = 4

Total number of coins the pirate must have = $77+4 =81$

We can check the answer by dividing 81 by 7 and 11. I both cases we get remainder = 4.

So, the least possible number of coins the pirate has = 81

6 0

4 years ago