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harkovskaia [24]
3 years ago
6

at an end - of - term party , 12 chocolate cakes are shared equally between 40 children. how much does each child get? give your

answer in decimal fractions
Mathematics
1 answer:
GREYUIT [131]3 years ago
8 0
.3/1 or 30% also could be written as 3/10
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Solve the system of equations
Liono4ka [1.6K]
Solve the following system:
{1.8 x - 0.5 y = -6.4
{0.6 x + 2.1 y = 2.4

In the first equation, look to solve for x:
{1.8 x - 0.5 y = -6.4
{0.6 x + 2.1 y = 2.4

1.8 x - 0.5 y = (9 x)/5 - y/2 and -6.4 = -32/5:
{(9 x)/5 - y/2 = -32/5


Add y/2 to both sides:
{(9 x)/5 = 1/10 (5 y - 64)
{0.6 x + 2.1 y = 2.4

Multiply both sides by 5/9:
{x = 1/18 (5 y - 64)
{0.6 x + 2.1 y = 2.4

Substitute x = 1/18 (5 y - 64) into the second equation:
{x = 1/18 (5 y - 64)
{2.1 y + 0.0333333 (5 y - 64) = 2.4

2.1 y + 0.0333333 (5 y - 64) = 2.1 y + (0.166667 y - 2.13333) = 2.26667 y - 2.13333:
{x = 1/18 (5 y - 64)
2.26667 y - 2.13333 = 2.4

In the second equation, look to solve for y:
{x = 1/18 (5 y - 64)
{2.26667 y - 2.13333 = 2.4

2.26667 y - 2.13333 = (34 y)/15 - 32/15 and 2.4 = 12/5:
(34 y)/15 - 32/15 = 12/5

Add 32/15 to both sides:
{x = 1/18 (5 y - 64)
{(34 y)/15 = 68/15

Multiply both sides by 15/34:
{x = 1/18 (5 y - 64)
y = 2


Substitute y = 2 into the first equation:

Answer: {x = -3, y = 2
4 0
3 years ago
What fraction is closest to 3/4? <br><br> 5/8 <br> 7/12 <br> 5/6
Korvikt [17]
The answer to this is 5/6. Just multiply them to have a common denominator, and see which one is closest to your first fraction. Thus, 5/6.
7 0
3 years ago
Read 2 more answers
Is f(x)=square root of x^2 - 9 an even function
Fudgin [204]

Answer:

yes

Step-by-step explanation:

3 0
3 years ago
The solution of equation 3n - 7 = 3 - 2n is????? I need this ans fast plsss
adoni [48]

Answer:

n=2

Step-by-step explanation:

3n-7=3-2n

5n=10 (add 2n on both sides and also add 7 on both sides of the equal sign)

n=2

DUBS

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3 years ago
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The coordinates below lie on the line with the given slope. find the missing coordinate value. (2,2) (5,y) slope = 2
vodka [1.7K]

Step-by-step explanation:

Hey there!

The given points are; (2,2) and (5,y).

Slope (m) =2

<u>Usi</u><u>ng</u><u> formula</u><u> for</u><u> </u><u>slope</u><u>,</u><u> </u><u>we</u><u> </u><u>get</u><u>;</u>

<u>m =  \frac{y2 - y1}{x2 - x1}</u>

<u>Pu</u><u>t</u><u> all</u><u> </u><u>v</u><u>alues</u><u>.</u>

<u>2 =  \frac{y - 2}{5 - 2}</u>

<u>Simpl</u><u>ify</u><u> </u><u>it</u><u> </u><u>to</u><u> </u><u>get</u><u> </u><u>valu</u><u>e</u><u> of</u><u>"</u><u>y</u><u>"</u><u>.</u>

<u>2 =  \frac{y - 2}{3}</u>

<u>6 = y - 2</u>

<u>y = 6 + 2</u>

<u>Therefore</u><u>,</u><u> </u><u>y</u><u>=</u><u> </u><u>8</u><u>.</u>

<em><u>Hop</u></em><em><u>e</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

5 0
3 years ago
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