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irga5000 [103]
3 years ago
13

Kelly has 4 dimes and some nickels. The value of her coins is 2.25 how many

Mathematics
1 answer:
Semmy [17]3 years ago
8 0
4 dimes=4 *10=40 cents

2.25-0.40=1.85


1.85=0.05 times number of nickles
times 100 both sides
185=5 times number of nickels
divide both sides by 5
37=number of nickles

has 37 nickles
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For the inverse variation equation xy=k what is the constant of variation k when x=-3 And y=-2
ELEN [110]

ANSWER

The constant of variation is 6.

EXPLANATION

The inverse variation equation is:

xy = k

We want to find the constant of variation, when x=-3 and y=-2.

We substitute the values for x and y to get,

- 3 \times  - 2 = k

Multiply out the left hand keeping in mind that negative times negative yields a positive result.

This implies that;

k= 6

Hence the constant of variation is 6.

8 0
3 years ago
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In the equation c*2=22 what is the next step in the equation solving sequence?
romanna [79]
Divide 22 by 2 to get "c" isolated.
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3 years ago
in an election about 500,000 people voted in all which number could be the exact number of people who voted in the election
GREYUIT [131]

I think this question is asking for the closest number to 500,000, which is 533,736. I don't know how to show work for this, except for saying this number is about 33,000 away from 500,000 which is the closest out of 429,455, 441,689, 533,736, and 550,198.

8 0
3 years ago
Leah and Carl share a 12-ounce box of cereal. By the end of the week, Leah has eaten
Anton [14]

Answer: Use Fractions and Multiplication.

Step-by-step explanation:

To start, you need to find 1/6 of 12. The easiest way to do this is to multiply 12/1 by 1/6. The answer is 12/6, which simplifies to 2. Then, you do the same for 2/3: 12/1*2/3=24/3, which simplifies to 8. You then add the results to figure out how much has been eaten. 8+2=10

7 0
3 years ago
If x = a sin α, cos β, y = b sin α.sin β and z = c cos α then (x²/a²) + (y²/b²) + (z²/c²) = ?​
Oduvanchick [21]

\large\underline{\sf{Solution-}}

<u>Given:</u>

\rm \longmapsto x = a \sin \alpha  \cos \beta

\rm \longmapsto y = b \sin \alpha  \sin \beta

\rm \longmapsto z = c\cos \alpha

Therefore:

\rm \longmapsto \dfrac{x}{a}  = \sin \alpha  \cos \beta

\rm \longmapsto \dfrac{y}{b}  = \sin \alpha  \sin \beta

\rm \longmapsto \dfrac{z}{c} = \cos \alpha

Now:

\rm =  \dfrac{ {x}^{2} }{ {a}^{2}} +  \dfrac{ {y}^{2} }{ {b}^{2} } +  \dfrac{ {z}^{2} }{ {c}^{2} }

\rm =  { \sin}^{2} \alpha  \cos^{2}  \beta   +  { \sin}^{2} \alpha  \sin^{2} \beta  +  { \cos}^{2} \alpha

\rm =  { \sin}^{2} \alpha  (\cos^{2}  \beta   +  \sin^{2} \beta  )+  { \cos}^{2} \alpha

\rm =  { \sin}^{2} \alpha \cdot1+  { \cos}^{2} \alpha

\rm =  { \sin}^{2} \alpha + { \cos}^{2} \alpha

\rm = 1

<u>Therefore:</u>

\rm \longmapsto\dfrac{ {x}^{2} }{ {a}^{2}} +  \dfrac{ {y}^{2} }{ {b}^{2} } +  \dfrac{ {z}^{2} }{ {c}^{2} }  = 1

5 0
3 years ago
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