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irinina [24]
3 years ago
14

Two cakes were cut into 8 slices iate 1/8 of the carrot cake . Iate 1/2 of the carrot cake .Me ate 1 slice of each. I ate three

slices of choclate cake . How many slices wer left?
Mathematics
1 answer:
FromTheMoon [43]3 years ago
7 0

Answer:

There are 6 slices left.

Step-by-step explanation:

The remaining slices are:

Carrot Cake

x = \left(\frac{8}{8}  -\frac{1}{8} -\frac{4}{8} -\frac{1}{8}  \right)\cdot 8

x = 2

Chocolate Cake

y = \left(\frac{8}{8} - \frac{1}{8} - \frac{3}{8}  \right)\cdot 8

y = 4

There are 6 slices left.

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20 POINTS PLEASE HELP QUICKLY!!
SIZIF [17.4K]

Answer:

They will each have saved $70.

Jessica is saving at a faster rate than Raphael.

The rate at which Jessica is adding to her savings is $4 per week more than the rate at which Raphael is adding to his savings.

Step-by-step explanation:

The formula for Jessica’s savings is

y = 10x + 20

She is saving at the rate of $10/wk .

From Raphael’s table, he started with $40 and is saving at the rate of $6/wk.

The formula for Raphael’s savings is

y = 6x +40

When the two savings are equal

10x + 20 = 6x + 40     Subtract 20 from each side

       10x = 6x + 20     Subtract 6x from each side

        4x = 20              Divide each side by 4

          x = 5

Their savings will be equal after five weeks.

=====

After five weeks , Jessica will have saved

y = 10×5 + 20  

y = 50 + 20

y = $70

Raphael has also saved $70.

=====

Jessica is saving at a faster rate than Raphael.

She is saving at the rate of $10/wk, while he is saving at the rate of $6/wk.

The rate at which Jessica is adding to her savings is $4/wk more than the rate at which Raphael is adding to his savings.

The red line in the graph shows that Jessica starts with $20. After five weeks, she has caught up to Raphael, who also has $70 after five weeks.  

6 0
3 years ago
a parabola has an x-intercept at 2, its axis of symmetry is the line x=4, and the y-coordinate of its vertex is 6. Determine the
nlexa [21]

Answer:

The standard equation of the parabola is:

y=-\frac{3}{2}x^2+12x-18

Step-by-step explanation:

An x intercept of 2 means that the point (2, 0) is in the graph of the parabola.

We can also write the general expression for the parabola in vertex form, since we can use the information on the coordinates of the vertex: (4, 6) - recall that the axis of symmetry of the parabola goes through the parabola's vertex, so the x-value of the vertex must be x=4.

y-y_{vertex}=a\,(x-x_{vertex})^2\\y-6=a\,(x-4)^2

Now we can find the value of the parameter "a" by using the extra information about the point (2, 0) at which the parabola intercepts the x-axis:

y-6=a\,(x-4)^2\\0-6=a\,(2-4)^2\\-6=a\,4\\a=-\frac{6}{4} =-\frac{3}{2}

Then the equation of the parabola becomes:

y-6=-\frac{3}{2} \,(x-4)^2\\y-6=-\frac{3}{2} (x^2-8x+16)\\y-6=-\frac{3}{2}x^2+12x-24\\y=-\frac{3}{2}x^2+12x-18

7 0
3 years ago
Can someone help me in this question please !
prohojiy [21]
11/7


..................................
7 0
3 years ago
Can someone please explain to me how to tell if a number it's prime or not
slavikrds [6]

Answer:

A prime number is a number that can only be divided by 1 and itself.

3 0
3 years ago
Read 2 more answers
M + 5n = p solve for m
atroni [7]
-5n on both sides
M= -5n + p
8 0
3 years ago
Read 2 more answers
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