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Sonja [21]
2 years ago
11

Mariana had both chocolate cake and coconut cake at her birthday party. 40 people picked chocolate cake and 10 people picked coc

onut cake. What percentage of the people at the party picked chocolate cake?
Mathematics
1 answer:
zloy xaker [14]2 years ago
4 0

Answer:

80% of the people picked chocolate cake

Step-by-step explanation:

If you add the people (Not including her) up in the party, you will get 50 people in which both include chocolate cake and coconut cake. We can see that 40 people picked chocolate and 10 for coconut. 40 of 50 is 80% because 10% of 50 is 5 so 40/5 = 8, thus making it 80%. Hope this helps!

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neonofarm [45]

Answer:

y = -3x+11

Step-by-step explanation:

I accept your challenge!

First we know that a equation of the line is a linear equation, and its equation is:

y = mx+b

m: \text{slope}\\b: \text{y-intercept}

In this context, the slope, defined as the steepness of a line is characterized as the ratio of RISE (the difference in the y-coordinates, the vertical change) over the RUN (the difference in x-coordinates, the horizontal change).

$m=\frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}   $

Once we know two points where the line goes through, we can get the slope, once we know the change in y and x.

I will take (3,2) as Point 1 and (4,-1) as Point 2.

So, x_{1}=3 \text{ and } y_{1}=2\\x_{2}=4 \text{ and } y_{2}=-1

$m=\frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}=\frac{-1-2}{4-3}   $

$m=\frac{-3}{1}=-3 $

Now we have to find the y-intercept:

To do so, think about the the points given and the nearly finished equation, we can find b with those two informations.

Our currently equation of the line is:

y = -3x+b

Using the points, take Point 1 as an example, it says that when x = 3, y = 2, so plugging it in the equation:

2 = -3(3)+b\\2 = -9+b\\11 = b

Taking the Point 2

-1 = -3(4)+b\\-1 = -12+b\\11 = b

Now we found b! The equation is complete!

y = -3x+11

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3 years ago
I need help ASAP due at 11:59
algol [13]

Answer:

Step-by-step explanation:

8 0
3 years ago
Convert the following:<br> 22 tons is equivalent to<br> kilograms
Ludmilka [50]

Answer:

19958.1

step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

      ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                     PEACE!

3 0
3 years ago
The altitude of a triangle is increasing at a rate of 1 cm/ min while the area of the triangle is increasing at a rate of 2 cm2
serg [7]
Ya, calculus and related rates, such fun!




everything is changing with respect to t

altitude rate will be dh/dt and that is 1cm/min
dh/dt=1cm/min

area will be da/dt which is increasing at 2cm²/min
da/dt=2cm²/min

base=db/dt

alright

area=1/2bh
take dervitivie of both sides
da/dt=1/2((db/dt)(h)+(dh/dt)(b))
solve for db/dt
distribute
da/dt=1/2(db/dt)(h)+1/2(dh/dt)(b)
move
da/dt-1/2(dh/dt)(b)=1/2(db/dt)(h)
times 2 both sides
2da/dt-(dh/dt)(b)=(db/dt)(h)
divide by h
(2da/dt-(dh/dt)(b))/h=db/dt

ok
we know
height=10
area=100
so
a=1/2bh
100=1/2b10
100=5b
20=b

so
h=10
b=20
da/dt=2cm²/min
dh/dt=1cm/min

therefor
(2(2cm²/min)-(1cm/min)(20cm))/10cm=db/dt
(4cm²/min-20cm²/min)/10cm=db/dt
(-16cm²/min)/10cm=db/dt
-1.6cm/min=db/dt

the base is decreasing at 1.6cm/min
4 0
3 years ago
I buy a MP3 player for £40 in a sale where it was 20% off. What was the original price
natta225 [31]
20% off means you paid only 80% of the original price.
0.8x=40
x=40÷0.8=50
so the original price is 50
6 0
3 years ago
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