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Trava [24]
3 years ago
6

Homewood Middle School has 1200 students, and 730 of these students attend a summer picnic. If two-thirds of the girls in the sc

hool and one-half of the boys in the school attend the picnic, how many girls attend the picnic?
Mathematics
1 answer:
Marysya12 [62]3 years ago
4 0

Answer:

520 girls attended the picnic

Step-by-step explanation:

Hello

step 1

Let

Homewood middle school total students=1200

A=unknown=total of girls

(2/3)A=total girls attended the picnic

B=unknown= total of boys

(1/2)B=total boys attended the picnic

step2

replace

A+B=1200\ equation (1) \\\frac{2A}{3}+\frac{B}{2}=730\ equation(2)\\

Step 3

find A and B

from equation (1)

A=1200-B\ equation\ (3)\\\\

from equation (2)

\frac{2A}{3}+\frac{B}{2}=730\\\frac{2A}{3}=730-\frac{B}{2}\\A=(730-\frac{B}{2})*\frac{3}{2} \\1200-B=1095-\frac{3B}{4}\\A=A\\-B+\frac{3B}{4}=1095-1200\\-\frac{B}{4}=-105\\ B=420\\\\hence\\\\A=1200-B\\A=1200-420\\A=780

total girls attended  the picnic=(2/3)A=(2/3)780=520

520 girls attended the picnic

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What is m pqr? <br> Please helps
LiRa [457]

Answer:

134 degrees

Step-by-step explanation:

Line PQS is 180 degrees. That being said, the addition of <PQR and <SQR equal 180 degrees.

Now you need to set up an equation to find out what angle PQR is. Since there is an X, you need to solve for X. The equation looks like this:

(3x+5) + (x+3) = 180

<u>Solve for x</u>

(3x+5) + (x+3) = 180\\4x+8=180\\4x=172\\x=43

Now plug in 43 where you see x. For this question, you only need to focus on (3x+5)

3(43) + 5 = 134

m<PQR = 134°

Do this every, single, time when you see these questions. Remember that line PQS is 180 degrees, and both of those angles are equal to 180 degrees.

If you want to check if this is true, plug in 43 into our equation we made to see if it equals 180 degrees. <em>If it doesn't equal 180, your equation is incorrect.</em>

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3(43)+5+43+3 = 180

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3 years ago
Please help!!! Due in 30 mins!!!
stiv31 [10]
It’s A. $25.20
You find the rate you dividing the cost ($18) by how many gallons (5). Then you multiply by what you are looking for (7 gallons). You get 25.20.
7 0
2 years ago
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Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n &gt; 1?
Degger [83]

The recursive formula a_n = a_{n-1}-6 can be used to generate the shown sequence

Step-by-step explanation:

Recursive formula is the formula that is used to generate the next term of a sequence using previous term.

The general form of arithmetic sequence's recursive formula is:

a_n = a_{n-1}+d

Given

5,-1,-7,-13,-19

Here

a_1 = 5\\a_2 = -1\\a_3 = -7

First of all we have to find the common difference of the sequence.

So,

d = a_2 -a_1 = -1-5 = -6\\d = a_3-a_2 = -7+1 = -6

Putting the value of d in the general recursive formula

a_n = a_{n-1}-6

Hence,

The recursive formula a_n = a_{n-1}-6 can be used to generate the shown sequence

Keywords: Sequence, arithmetic sequence

Learn more about arithmetic sequence at:

  • brainly.com/question/3375830
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#LearnwithBrainly

8 0
3 years ago
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mr. cuddy draws a triangle with a perimeter of 36cm. Principal Aranda says that the longest side measures 18 cm, How do you know
hichkok12 [17]

Answer:

See the procedure

Step-by-step explanation:

we know that

<u>The Triangle Inequality Theorem</u>, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

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The perimeter is equal to

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P=36 cm

If c=18 cm

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a+b=18

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Phoenix [80]
<h3>Answer:</h3>

D) 4 cm, 3 cm

<h3>Step-by-step explanation:</h3>

Let x represent the length of "another" side. Then "one side" can be represented by (2x -5 cm).

The perimeter of the kite is the sum of two sides of each length:

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Dividing by 2 and collecting terms, we have ...

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... 2(4 cm) -5 cm = 3 cm . . . . the length of "one side"

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