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Digiron [165]
3 years ago
15

Please help me with number 12!

Mathematics
1 answer:
Olegator [25]3 years ago
4 0
The answer is 10 quarters because 10 quarters would be $2.50. You would need 3 more nickles to get $2.65. 10 would be 7 more than 3.
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1.94x - 10/8x + 4.32 = [2(1.15x+8.5)]
kipiarov [429]
1,94x-\frac{10}{8}x+4,32=[2(1,15x+8,5)]\\\\
1,94x-1,25x+4,32=2,3x+17\\\\
0,69x+4,32=2,3x+17\ \ \ |Subtract\ 2,3x\\\\
-1,61x+4,32=17\ \ \ |Subtract\ 4,32\\\\
-1,61x=12,68\ \ \ |Divide\ by\ -1,61\\\\\boxed{x\approx7,9}

8 0
3 years ago
Find all numbers whose absolute value is 3 . If there is more than one, separate them with commas. If there are no such numbers,
adelina 88 [10]

Answer:

3, and -3

Step-by-step explanation:

Because absolute value is the distance away from zero, |3| and |-3| would both be 3 units away from 0. Be sure to have the negative on the inside if you're trying to make something positive, otherwise -|3| means that the absolute value of 3 would then become negative since the negative sign isn't a part of the absolute. hope this helps!

3 0
3 years ago
Write the word sentence as an equation. Then solve.<br><br> 10 more than a number c is 3.
ira [324]

Answer:

10+c=3

Step-by-step explanation:

to solve this you would then subtract 10 from both sides, to get c by itself.

3-10= -7

Your answer would be -7 and the equation would be 10+c=3.

6 0
3 years ago
Cate solved an inequality to find c, the possible number of cats that a shelter can house. She found that c &lt; 28. Which state
stellarik [79]

Since the number of cats has to be less than 28, a statement could be "the shelter can house no more than 28 cats.

5 0
3 years ago
Read 2 more answers
The general solution to the second-order differential equation y′′+10y=0 is in the form y(x)=c1cosβx+c2sinβx. Find the value of
allsm [11]

Answer:β=√10 or 3.16 (rounded to 2 decimal places)

Step-by-step explanation:

To find the value of β :

  • we will differentiate the y(x) equation twice to get a second order differential equation.
  • We compare our second order differential equation with the Second order differential equation specified in the problem to get the value of β

y(x)=c1cosβx+c2sinβx

we use the derivative of a sum rule to differentiate since we have an addition sign in our equation.

Also when differentiating Cosβx and Sinβx we should note that this involves function of a function. so we will differentiate  βx in each case and multiply with the differential of c1cosx and c2sinx respectively.

lastly the differential of sinx= cosx and for cosx = -sinx.

Knowing all these we can proceed to solving the problem.

y=c1cosβx+c2sinβx

y'= β×c1×-sinβx+β×c2×cosβx  

y'=-c1βsinβx+c2βcosβx

y''=β×-c1β×cosβx + (β×c2β×-sinβx)

y''= -c1β²cosβx -c2β²sinβx

factorize -β²

y''= -β²(c1cosβx +c2sinβx)

y(x)=c1cosβx+c2sinβx

therefore y'' = -β²y

y''+β²y=0

now we compare this with the second order D.E provided in the question

y''+10y=0

this means that β²y=10y

β²=10

B=√10  or 3.16(2 d.p)

5 0
3 years ago
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