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myrzilka [38]
3 years ago
11

68% of johns school are boys. There are 180 more boys than girls. How many students are there in johns school

Mathematics
2 answers:
Ghella [55]3 years ago
4 0

Answer:

500 students in the school

Step-by-step explanation:

100 - 68% = 32%

boys percentage 68%

girls percentage 32%

difference 68 - 32 = 36% = 180

36 ÷ 18 = 2 × 50 = 100

180 ÷ 18 = 10 × 50 = 500

Finger [1]3 years ago
4 0

Answer:

500 students.

Step-by-step explanation:

This a system of equations you could write where t is the total amount of students in the school, b is the number of boys, and g is the number of girls:

0.68t=b

b+g=t

180+g=b

0.68t+g=t

g=0.32t

180+g=b

180+0.32t=0.68t

180=0.36t

t=500

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A garage floor measures 150 feet by 120 feet. A scale drawing of the floor on grid paper uses a scale of 1 unit and 15 feet.What
vova2212 [387]

Answer:

The dimensions of the drawing are 10 units by 8 units

Step-by-step explanation:                        

we know that

The scale drawing is \frac{1}{15}\ \frac{unit}{feet}

That means ---> 1 unit in the drawing represent 15 feet in the actual

To find out the dimensions of the drawing, multiply the actual dimensions by the scale drawing

so

150\ ft=150(\frac{1}{15})=10\ units

120\ ft=120(\frac{1}{15})=8\ units

therefore

The dimensions of the drawing are 10 units by 8 units

6 0
3 years ago
Jayden and Sheridan both tried to find the missing side of the right triangle. A right triangle is shown. One leg is labeled as
stellarik [79]

Answer:

Sheridan's Work is correct

Step-by-step explanation:

we know that

The lengths side of a right triangle must satisfy the Pythagoras Theorem

c^{2}=a^{2}+b^{2}

where

a and b are the legs

c is the hypotenuse (the greater side)

In this problem

Let

a=7\ cm\\c=13\ cm

substitute

13^{2}=7^{2}+b^{2}

Solve for b

169=49+b^{2}

b^{2}=169-49

b^{2}=120

b=\sqrt{120}\ cm

b=10.95\ cm

we have that

<em>Jayden's Work</em>

a^{2}+b^{2}=c^{2}

a=7\ cm\\b=13\ cm

substitute and solve for c

7^{2}+13^{2}=c^{2}

49+169=c^{2}

218=c^{2}

c=\sqrt{218}\ cm

c=14.76\ cm

Jayden's Work is incorrect, because the missing side is not the hypotenuse of the right triangle

<em>Sheridan's Work</em>

a^{2}+b^{2}=c^{2}

a=7\ cm\\c=13\ cm

substitute

7^{2}+b^{2}=13^{2}

Solve for b

49+b^{2}=169

b^{2}=169-49

b^{2}=120

b=\sqrt{120}\ cm

b=10.95\ cm

therefore

Sheridan's Work is correct

6 0
3 years ago
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AleksAgata [21]

Answer:

y=3

Step-by-step explanation:

it says that y is the inverse of x so if x=3 and y=8, so if x=8 than y must equal 3

3 0
3 years ago
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How do i draw 5/6 x 1/3 on an area model???????<br>​
wel

Answer:

pay attention in class bozo

Step-by-step explanation:

6 0
3 years ago
HELP!!!! I'LL MARK THE BEST ANSWER BRAINLIEST
Aleksandr-060686 [28]

Answer:

x=1

Explain:

y=2x^2−4x+1

dy/dx=4x-4

The line of symmetry will be where the curve turns (due to the nature of the

x^2 graph.

This is also when the gradient of the curve is 0.

Therefore, let

dy/dx=0

This forms an equation such that:

4x−4=0

solve for x,

x=1

and line of symmetry falls on the line

x=1

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3 years ago
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