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3 years ago

Your class has 30 students. if 1/3 of them walk to school, how many students in your class walk to school

Mathematics

1 answer:

Delvig [45]3 years ago

4 0

1/3 of 30 would be 10. So 10 students walk to school.

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What is Factor tree of 495?

Masteriza [31]

Prime Factors of 495 =3, 3, 5, 11

Which is the same as = 32 x 5 x 11Prime Factors Tree of 495495
/ \
3 165/ \
3 55/ \
5 11/ \
11 1

7 0

2 years ago

Read 2 more answers

Find the value of x, y, and z in the rhombus below.

34kurt

Answer:

Step-by-step explanation:

For a rhombus, the opposite angles are equal:

74=5y+9

5y=65

y=13

For a rhombus, the adjacent angles are supplementary:

74+(z-10)=180

z-10=106

z=116

74+(x+7)=180

x+7=106

x=99

3 0

2 years ago

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Maths 5x² - x(x + 4)

alexgriva [62]

5x^2-x(x+4)
5x^2-x^2-4x
4x^2-4x is your answer

4 0

2 years ago

Find k so that the following function is continuous: f(x)={kx8x2if0≤x<5if5≤x.

tankabanditka [31]

Check the one-sided limits:

$\displaystyle \lim_{x\to5^-}f(x) = \lim_{x\to5}kx = 5k$

$\displaystyle \lim_{x\to5^+}f(x) = \lim_{x\to5}8x^2 = 200$

If f(x) is to be continuous at x = 5, then these two limits should have the same value, which means

5k = 200

k = 200/5

k = 40

3 0

2 years ago

Limit

STatiana [176]

Rationalize the numerator:

$\dfrac{\sqrt{x+4}-2}x\cdot\dfrac{\sqrt{x+4}+2}{\sqrt{x+4}+2}=\dfrac{(\sqrt{x+4})^2-2^2}{x(\sqrt{x+4}+2)}=\dfrac x{x(\sqrt{x+4}+2)}=\dfrac1{\sqrt{x+4}+2}$

This is continuous at $x=0$ , so we can evaluate the limit directly by substitution:

$\displaystyle\lim_{x\to0}\frac{\sqrt{x+4}-2}x=\lim_{x\to0}\frac1{\sqrt{x+4}+2}=\frac1{\sqrt4+2}=\frac14$

5 0

3 years ago