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stepan [7]
3 years ago
10

Colin, Sara and Gordon share some sweets in the ratio 7:3:1. Colin gets 54 more sweets than Gordon. How many sweets does Sara ge

t?
Mathematics
1 answer:
weeeeeb [17]3 years ago
7 0

let the no of sweets be 7x, 3x, and 1x

Colin gets 7x

Sara gets 3x

gordon gets 1x

7x = 1x+54  (given)

7x - 1x= 54

6x= 54

x=9

hece sara gets 3x= 3*9

                               =27

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What is the value of "x" if -2(3x+2)>-8x+6
lukranit [14]

Answer:

<h2>x > 5</h2>

Step-by-step explanation:

-2(3x+2) > -8x+6

Expand the terms

That's

- 6x - 4 > - 8x + 6

- 6x + 8x > 6 + 4

2x > 10

Divide both sides by 5

<h3>x > 5</h3>

Hope this helps you.

3 0
3 years ago
Write the equation of the parabola that has the vertex at point (3,−12) and passes through the point (0,6).
lana [24]

Answer:

y = 2(x-3)^2 -12

y = -4/9(x-2)^2 +7  bonus

Step-by-step explanation:

The vertex form of a parabola is

y = a(x-h)^2 + k  where (h,k) is the vertex

y = a(x-3)^2 - 12

We have one point given (0,6)

6 = a (0-3) ^2 -12

6 = a (-3)^2 -12

6 = 9a-12

Add 12 to each side

6+12 = 9a

18 = 9a

Divide each side by 9

18/9 = 9a/9

a=2

y = 2(x-3)^2 -12

We follow the same steps for the bonus

y = a(x-2)^2 +7

Substitute the point into the equation

3 = a (-1-2)^2 +7

3 =a (-3)^2 +7

3 = 9a +7

subtract 7 from each side

3-7 = 9a +7-7

-4 = 9a

Divide by 9

-4/9 =a

y = -4/9(x-2)^2 +7

3 0
3 years ago
Read 2 more answers
Write the equation of the line:<br> SLOPE - 1<br> Y-INTERCEPT - -2
Ierofanga [76]

Answer:

y = 1x - 2

Step-by-step explanation:

thank me later

3 0
3 years ago
Implicit differentiation!! Please help !! Ignore what i put
notsponge [240]

Answer:

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7 0
2 years ago
What is the approximate area that is shaded red?
Mashcka [7]

To find the area that is shaded red, you find the area of the rectangle and subtract it by the area of the triangle.


Area of a rectangle:

A = l × w             [ l = 11 in ; w = 6in ]    Plug these numbers into the equation

A = 11 · 6

A = 66 in²


Area of a triangle:

A=\frac{1}{2}bh     [ b = 4 in ; h = 6 in ] Plug these #s into the equation

A = \frac{1}{2}(4)(6)

A=\frac{24}{2}

A = 12 in²


Area of rectangle - Area of triangle = Area of the shaded region

66 in² - 12 in ² = 54 in²


Your answer is B

3 0
3 years ago
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