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Lady bird [3.3K]

3 years ago

13

In a candy box, there are 5 times as many candies with nuts as candies without nuts. There are 18 candies in the box. How many c

andies with nuts are in the box?

1 answer:

vazorg [7]3 years ago

8 0

90 because there are 5 time as many candies with nuts as candies without nuts and there is 18 so it will be 18×5=90

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Estimate the area of a circle with a radius of 21 meters. Use 22/7 for pi. (1 point)

V125BC [204]

A= $\pi$ $r^{2}$

A=( $\frac{22}{7}$ )( $21^{2}$ )

A=( $\frac{22}{7}$ )(441)

A= $\frac{22}{7}$ )( $\frac{441}{1}$ )

A= $\frac{9702}{7}$

A=1386 square meters

The answer is B.

5 0

3 years ago

Find the solution of the given initial value problem in explicit form. y′=(1−5x)y2, y(0)=−12 Enclose numerators and denominators

Nata [24]

Answer:

The solution is $y=-\frac{12}{12x-30x^2+1}$ .

Step-by-step explanation:

A first order differential equation $y'=f(x,y)$ is called a separable equation if the function $f(x,y)$ can be factored into the product of two functions of $x$ and $y$ :

$f(x,y)=p(x)h(y)$

where $p(x)$ and $h(y)$ are continuous functions.

We have the following differential equation

$y'=(1-5x)y^2, \quad y(0)=-12$

In the given case $p(x)=1-5x$ and $h(y)=y^2$ .

We divide the equation by $h(y)$ and move $dx$ to the right side:

$\frac{1}{y^2}dy\:=(1-5x)dx$

Next, integrate both sides:

$\int \frac{1}{y^2}dy\:=\int(1-5x)dx\\\\-\frac{1}{y}=x-\frac{5x^2}{2}+C$

Now, we solve for $y$

$-\frac{1}{y}=x-\frac{5x^2}{2}+C\\-\frac{1}{y}\cdot \:2y=x\cdot \:2y-\frac{5x^2}{2}\cdot \:2y+C\cdot \:2y\\-2=2yx-5yx^2+2Cy\\y\left(2x-5x^2+2C\right)=-2\\\\y=-\frac{2}{2x-5x^2+2C}$

We use the initial condition $y(0)=-12$ to find the value of C.

$-12=-\frac{2}{2\left(0\right)-5\left(0\right)^2+2C}\\-12=-\frac{1}{c}\\c=\frac{1}{12}$

Therefore,

$y=-\frac{2}{2x-5x^2+2(\frac{1}{12})}\\y=-\frac{12}{12x-30x^2+1}$

4 0

3 years ago

Convert Fraction to Percent<br> 5/8

jeka94

Answer:

62.5

All you do is divide 5 by 8 and you get this .625 move the decimal over two spots to the right and you get 62.5%

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3 years ago

I don't understand the first one.

lyudmila [28]

Basically the question is asking if the proportions for the dimensions of the 2 rugs are the same, so in this case yes, since 6 X 8 can be written as 3 X 4 which if you set up a fraction you can easily multiply both the top and bottom number by 3 to get 9 X 12.

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3 years ago

Read 2 more answers

Kong makes $14.25 per hour. If he works a 40-hour week, how much does he have to pay into FICA (7.65%)?

gizmo_the_mogwai [7]

Amount of FICA to be paid
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7 0

3 years ago