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Margaret [11]
3 years ago
9

In Mr. Scott’s class the ratio of boys to girls is 2:3. The total number of students in Mr. Scott’s class is 30. What percent of

the class are girls? How many girls are in the class?
Mathematics
1 answer:
Yuri [45]3 years ago
5 0

Answer:

40% of the class is Girls, so 12 students are girls

Step-by-step explanation:

add up the ratio

2+3=5

divide by 5

30/5=6

multipy ratio to find totial number of students

2*6=12

2*3=18

divide the number of students to get the pecentage

12/30=0.4=40%

18/30=0.6=60%

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What is the area?? Please help
Olegator [25]

Answer:

<h3>324 ft²</h3>

Step-by-step explanation:

We have the triangle and the rectangle.

The formula of an area of a triangle:

A_{\triangle}=\dfrac{1}{2}bh

b - base

h - height

The formula of an area of a rectangle:

A_{\boxed{\ }}=lw

l - length

w - width

We have b = 24 ft, h = 7 ft, l = 24 ft and w = 10 ft.

Substitute:

A_\triangle=\dfrac{1}{2}(24)(7)=(12)(7)=84\ ft^2

A_{\boxed{\ }}=(24)(10)=240\ ft^2

The area of the figure:

A=A_{\triangle}+A_{\boxed{\ }}

Substitute:

A=84+240=324\ ft^2

7 0
3 years ago
Convert this number given in standard form into scientific notation. 0. 0000069 What is the value in scientific notation? 0. 69
Len [333]

Scientific notation is used so that the order of the number is known in first glance. The value of the given number in scientific notation is given by: Option B: 6.9 \times 10^{-6}

<h3>How does scientific notations work?</h3>

The number is written in the form a \times 10^b where we have 1 \leq a < 10

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

  • Better readability due to compact representation
  • Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.


For the given case, the number in consideration is 0.0000069

Rewriting it in fraction form, we get:

0.0000069  = \dfrac{69}{10000000} = \dfrac{69}{10^7} = 69 \times 10^{-7} = 6.9 \times 10 \times 10^{-7}\\\\0.0000069  =  6.9 \time 10 ^{-7 +1} \\0.0000069  = 6.9\times 10^{-6}

(we used two facts: first that : \dfrac{a}{b} = a \times \dfrac{1}{b}

and second that: a^{-b}= \dfrac{1}{a^b}

Thus, the value of the given number in scientific notation is given by: Option B: 6.9 \times 10^{-6}

Learn more about scientific notations here:

brainly.com/question/3112062

8 0
2 years ago
Solve this system of equations by graphing. First graph the equations, and then type the solution.
stealth61 [152]

Answer:

The solution is the point (1,-4)

Step-by-step explanation:

we have

y=-3x-1 ----> equation A

y=-2x-2 ----> equation B

we know that

The solution of the system of equations by graphing is the intersection point both graphs

using a graphing tool

The intersection point is (1,-4)

see the attached figure

therefore

The solution is the point (1,-4)

5 0
3 years ago
A motorcyclist leaves City A and rides at a constant speed towards City B, which is 225 km away. After 1.5 hours, the motorcycli
rewona [7]

Answer:

50 km/hr

Step-by-step explanation:

OK, this is how I solved this problem.

Let r = original rate of speed

     t = time after the stop to finish the trip

Time for trip without stopping is 225/r

(1)     1.5 + .5 + t = 225/r      This is a time equation

(2)    1.5r + t(r + 10) = 225     This is a distance equation

(1)       2 + t = 225/r            (2)      1.5r + tr + 10t = 225

         2r + tr = 225

                tr = 225 - 2r                 1.5r + 225 - 2r + 10(225/r - 2) = 225

                t = 225/r - 2

                                                   -.5r + 225 + 2250/r - 20 = 225

                                                     -5r + 2250 + 22500/r - 200 = 2250

                                                     -5r^2 + 2250r + 22500 - 200r = 2250r

                                                       5r^2 + 200r - 22500 = 0

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                                                           5(r - 50)(r + 90) = 0

                                                                 r = 50   or    r = -90

The rate cannot be negative, so the original speed 50 km/hr

This not an easy problem and I hope you were able to follow my work

5 0
3 years ago
Read 2 more answers
(Need help ASAP!) Select the equation that most accurately depicts the word problem.
antiseptic1488 [7]
I the answer is C I’m not really sure but I’ll update u when i get the answer
5 0
3 years ago
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