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3 years ago

14

How would I write a proportion for, “15% Of the toddlers in a preschool class drink water with their lunch. how many toddlers ar

e in the class if 3 drink water with their lunch?”

1 answer:

ser-zykov [4K]3 years ago

4 0

Let x be the number of toddlers.

$0.15x=3$

$x=20$

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Bryce has heard that gas appliances are cheaper to use and can lower utility costs. He is interested in purchasing a new gas sto

Likurg_2 [28]

The answer would be A

Lmk if this helps!!

6 0

2 years ago

Limit (sin4x-4sinx)/x^3 when x close to zero

BartSMP [9]

$\Large \boxed{\sf \bf \ \ \lim_{x\rightarrow0} \ {\dfrac{sin(4x)-4sin(x)}{x^3}}=-10 \ \ }$

Step-by-step explanation:

Hello, please consider the following.

Using Maclaurin series expansion, we can find an equivalent of sin(x) in the neighbourhood of 0.

$sin(x) \sim \left(x-\dfrac{x^3}{3!}\right)\\\\\text{So, in the neighbourhood of 0}\\\\\begin{aligned}(sin(4x)-4sin(x)) &\sim \left( 4x-\dfrac{(4x)^3}{3!}-4x+\dfrac{4x^3}{3!}\right)\\\\&\sim \left(\dfrac{x^3*4*(1-4^2)}{3*2}\right)\\\\&\sim \left(\dfrac{x^3*2*(-15)}{3}\right)\\\\&\sim \left(x^3*2*(-5)\right)\\\\&\sim \left(x^3*(-10)\right)\\\end{aligned}$

Then,

$\displaystyle \lim_{x\rightarrow0} \ {\dfrac{sin(4x)-4sin(x)}{x^3}}\\\\= \lim_{x\rightarrow0} \ {\dfrac{-10*x^3}{x^3}}\\\\=-10$

Thank you

4 0

3 years ago

Read 2 more answers

-7.66666, \sqrt(50,) -(157)/(20), -7.64 list these from least to greatest.

blagie [28]

Answer:

From least to greatest, the correct order is: $-\frac{157}{20}$ ; -7.666....; -7.64; and $\sqrt{50}$ .

Step-by-step explanation:

Since $\sqrt{50}$ is the only positive number, that means that it will be the greatest number on the list. $-\frac{157}{20}$ is equivalent to -7.85, which makes it the smallest number. So you can conclude that the correct order is $-\frac{157}{20}$ ; -7.666...; -7.64; and $\sqrt{50}$ .

4 0

2 years ago

Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large cups for $2.50. if ashley sold a to

Levart [38]

The answer is 98 small and 57 large cups.

s - the number of small cups
l - the number of large cups

<span>Ashley sold a total of 155 cups: s + l = 155
</span><span>Ashley earned</span><span>for $265: 1.25 * s + 2.50 * l = 265

</span>s + l = 155
1.25 * s + 2.50 * l = 265
________
s = 155 - l
1.25 * s + 2.50 * l = 265
________
1.25 * (155 - l) + 2.50 * l = 265
193.75 - 1.25 * l + 2.50 * l = 265
193.75 + 1.25 * l = 265
1.25 * l = 265 - 193.75
1.25 * l = 71.25
l = 71.25 / 1.25
l = 57

______
s = 155 - l
l = 57

s = 155 - 57
s = 98

5 0

3 years ago

Anybody Know This. ?

noname [10]

Answer:

Nope

Step-by-step explanation:

4 0

2 years ago