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3 years ago

Questions 2,3, and 4 please

Mathematics

1 answer:

Mice21 [21]3 years ago

7 0

2. 7 to 5 and a total of 96 in this radio there is a total of 12 so divide 96 by 12 to find out how many sets of 7:5 are in 96 stickers
96/12= 8
It's wants large stickers
7×8= 56 large stickers

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A buyer purchases 75 yards of material for $120. Then an additional 90 yards are ordered. What is the additional cost?

dezoksy [38]

Answer:

$128

Step-by-step explanation:

1. We need to find how much 1 yard of material cost.

If needed, use a calculator*

120/75=1.6

2. Now we need to know how much 15 yards of material cost.

1.6 times 15=24

3. The buyer ordered an additional 90 yards. If we know how much 75 yards cost, and 15 yards, all you have to do is...

120+24=144

90 yards=$144

4. The additional cost is $144

(Note: the total cost would be $264 (120+144=264))

4 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 $y$

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