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Kitty [74]
3 years ago
15

there are 48 students in a school play. the ratio of boys to girls is 5:7. how many more girls than boys are in the school play?

Explain your thinking
Mathematics
1 answer:
Alex Ar [27]3 years ago
3 0
We can use trial or error method here...

If we take 4 table, 4*5 = 20 and 4*7 = 28. 20+28 = 48.
20 : 28 = 5 : 7

So, there are 20 boys and 28 girls in a school play and there are 8 girls more than boys.

If you look over tables and try it out, only 4 table works for the given ratio.
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The side length, s, of a cube is 4x^2+3. If V=s^3, what is the volume of the cube?
sweet [91]

The volume of the cube is (4x^{2} +3)(4x^{2} +3)(4x^{2} +3).


To simplify this, use the FOIL method between the first two terms, and then the product and the last term:

(4x^{2} +3)(4x^{2} +3)(4x^{2} +3)\\(16x^{4}+12x^{2}  +12x^{2} +9)(4x^{2} +3)\\(16x^{4}+24x^{2} +9)(4x^{2} +3)\\(64x^{6}+48x^{4} +96x^{4}+72x^{2}  +36x^{2}+27)\\ 64x^{6}+144x^{4}+108x^{2} +27


The answer is the first choice.


Hope this helps!!

7 0
3 years ago
Please help math question !! need range and domain for each picture thank you so much !
Lera25 [3.4K]

Answer: The correct option for figure 1 is (a) and correct option for figure 2 is (b).

Explanation:

Domain is the set of input and range is the set of output.

If a function is defined by f(x), then all the possible values of x is called domain and all the values of f(x) is called range.

In the figure (1)  the elements of first set is input(Domain) and the elements of second set is output(Range).

The values of first set are -2,-1,0 and 2, so,

Domain = { -2, -1, 0, 2}

The values of second are -4, -2 and 2, so,

Range = { -4, -2, 2}

In figure (2) the values of x and y are given, the values of x are domain and the values of y are range.

The values of x are -4, -2, 1 and 4, so,

Domain = { -4, -2, 1, 4}

The values of y are -2, 1, 4 and 4,, Since the repetition of elements are not allowed in the set so,

Range = { -2, 1, 4}

Therefore, the option (a) is correct for figure (1) and the option (b) is correct for figure (2).

4 0
3 years ago
When asked to compare -9 and positive 2 Joshua wrote -9 >2 Joshua correct? If not explain and correct his error
morpeh [17]

Answer:

-9 < 2

Step-by-step explanation:

-9 is a negative number

2 is positive number

and of course -9 is smaller or < than 2

This means he is wrong becuase this symbol > means greater

He should correct it to -9 < (less) than 9

Hope this help you :3

8 0
3 years ago
An experiment consists of drawing a marble out of a bag, observing the color, and then placing it back in the bag. Suppose the e
Elan Coil [88]
The experimental data suggest that

\mathbb P(\text{red})\approx\dfrac{38}{75}
\mathbb P(\text{blue})\approx\dfrac{23}{75}
\mathbb P(\text{green})\approx\dfrac{11}{75}
\mathbb P(\text{yellow})\approx\dfrac3{75}

Because the marble is replaced after being drawn, and so the number of marbles of a given color remains the same, the event of drawing any given color is independent of what was drawn before. So

\mathbb P(\text{2 consecutive yellows})\approx\dfrac3{75}\cdot\dfrac3{75}=\dfrac1{625}
5 0
3 years ago
Read 2 more answers
What is the expression in radical form? (4x^3y^2)3/10
stiv31 [10]

4x^3y^2(3) /10

Answer: 6/5 X^3 y^2

4 0
3 years ago
Read 2 more answers
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