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Natali [406]
4 years ago
5

Kate has a coin collection,She keeps 7 of the coins ln a box .Which is only 5% of her entire collection,What is the total number

of coins in Kate’s coin collection?
A 12
B 14
C 120
D 140
Mathematics
1 answer:
Dvinal [7]4 years ago
6 0

Answer:

D

Step-by-step explanation:

This basically means "7 is 5% of what number(total)".

<em>We can directly translate this into algebra:</em>

<u><em>Note: </em></u><em>"is" means "equal"  AND  "of" means "multiplication". Also, let the total be n</em>

<em />

Let's write the equation.

"7 is 5% of what number(total)"

7 = 5% * n

5% means 0.05, so:

7 = 0.05 * n

n = 7/0.05 = 140

Total number of coins is 140

Option D is right.

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What is the probability that the toy is dressed in a polka-dotted shirt and a cowboy hat ?
Dahasolnce [82]
How many choices of hats and dresses are there then it's one over all of the options multiplied let's say if you had three types of dresses and five types of hats then the probability of it would be 1/15
4 0
3 years ago
Please help.i am really struggling
alina1380 [7]

Answer:

3,-3) becomes ; (3 + 5 , -3-12) ; (8,-15)

(7,-10) becomes;( 7 + 5, -10-12) ; (12,-22)

(13,-14) becomes (7 + 13, -14-10) ; (20,-24)

Step-by-step explanation:

What we have to do here is to add 5 to the x-axis value and subtract 12 from the y-axis value

(3,-3) becomes ; (3 + 5 , -3-12) ; (8,-15)

(7,-10) becomes;( 7 + 5, -10-12) ; (12,-22)

(13,-14) becomes (7 + 13, -14-10) ; (20,-24)

3 0
3 years ago
I am not sure how sigma notation works, can somebody explain how to solve this? It isn't the second choice.
Masja [62]

Answer:

first answer is correct

Step-by-step explanation:

Hello, we want to write 2 + 4 + 6 + ... + 20

for n = 1, 2n = 2*1 =2

for n = 2, 2n = 2*2=4

for n = 3, 2n=2*3=6

etc

so

\displaystyle \sum_{n=1}^{10} {2n} = 2*1 + 2*2 +2*3+2*4+...+2*10=2+4+6+8+...+20

thanks

6 0
3 years ago
Find the product. y4 · y5
Alexandra [31]
I would assume this to be equal to y⁴ ₓ y⁵

= y⁴ ⁺ ⁵,   By law of indices.

= y⁹

I hope this helped.
8 0
4 years ago
What is the equation of the quadratic graph with a focus of (8, −8) and a directrix of y = −6?
sp2606 [1]

Answer:

y=-\frac{223}{28}(x-8)^2-7

Step-by-step explanation:

we are given a quadratic equation

we know that quadratic equation is same as equation of parabola

so, we can use formula

y=a(x-h)^2+k

Focus is

(h,k+\frac{1}{4a} )

now, we can compare it with given focus

=(8,-8)

we get

h=8

k+\frac{1}{4a}=-8

Directrix is

y=k-\frac{1}{4a}

we are given directrix =-6

k-\frac{1}{4a}=-6

we got two equations as

k+\frac{1}{4a}=-8

k-\frac{1}{4a}=-6

now, we can add both equations

and we get

k+\frac{1}{4a}+k-\frac{1}{4a}=-8-6

2k=-8-6

2k=-14

k=-7

now, we can find 'a'

k+\frac{1}{4\times -7}=-8

k=-\frac{223}{28}

now, we can plug back all values

and we get

So, equation of parabola is

y=-\frac{223}{28}(x-8)^2-7


3 0
3 years ago
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