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2 years ago

If 24 extra large cans of soup will serve 96 people, how many cans should Ann buy to serve 28 people?

Mathematics

1 answer:

klio [65]2 years ago

4 0

Answer:

She should buy a total of 25, so one more can

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Find the vertex of this parabola: y=-4x^2+8x-12

tatiyna

<span>The vertex of the parabola is the highest or lowest point of the graph.

</span><span>y=-4x^2+8x-12 = -4 (x^2 -2x +3)

Lets work with this now: </span>x^2 -2x +3

x^2 -2x +3 -> what is the closeset perfect square?
x^2 -2x +1 = (x-1)^2
So
x^2 -2x +3 = (x-1)^2 +2

Replacing to original
y=-4x^2+8x-12 = -4 (x^2 -2x +3) = -4 ((x-1)^2 +2) = -4 (x-1)^2 - 8

The min or max point is where the squared part = 0
So when x=1 , y= -4*0-8=-8

This will be the max of the parabola as there is - for the highest factor (-4x^2)

The max: x=1, y= -8

4 0

2 years ago

Read 2 more answers

X÷79 + 72 - 18 hellppppp

tino4ka555 [31]

Answer:

1/5688x-18

I am not sure about my answer because I think the question is missing some information but my answer is 1/5688x-18. Thanks!

7 0

2 years ago

The points (-15, r) and (-3, 16) lie on a line with slope 5/4. Find the missing coordinate r.

Setler79 [48]

Answer:

r = 1

Step-by-step explanation:

we know that :

$Slope=\frac{y_{B}-y_{A}}{x_{B}-x_A}$

Then

$\frac{5}{4} =\frac{16-r}{-3-(-15)}$

Then

$\frac{5}{4} =\frac{16-r}{12}$

Then

5×12 = 4×(16-r)

Then

60 = 64 - 4r

Then

4r = 64 - 60

Then

4r = 4

Then

r = 1

4 0

1 year ago

If angles A and B are consecutive interior angles, what is the measure of

n200080 [17]

Answer:

A. 105°

Step-by-step explanation:

Consecutive interior angles are angles that are supplementary, meaning they add up to 180°. If one angle is worth 75°, to find the other angle, we subtract 75 from 180 to get the angle measure.

$180-75$
$105$

Therefore, the answer is A.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

8 0

1 year ago

calculates the sum of the first 8 terms of an arithmetic progression starting with 3/5 and ending with 1/4

N76 [4]

We conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.

<h3>How to get the sum of the first 8 terms?</h3>

In an arithmetic sequence, the difference between any two consecutive terms is a constant.

Here we know that:

$a_1 = 3/5\\a_8 = 1/4$

There are 7 times the common difference between these two values, so if d is the common difference:

$a_1 + 7*d = a_8\\\\3/5 + 7*d = 1/4\\\\7*d = 1/4 - 3/5 = (5 - 12)/20 = -7/20\\\\d = -1/20$

Then the sum of the first 8 terms is given by:

$3/5 + (3/5 - 1/20) + (3/5 - 2/20) + ... + (3/5 - 7/20)\\\\8*(3/5) - (1/20)*(1 + 2 + 3+ 4 + 5 + 6 + 7) = 3.4 = 34/10 = 17/5$

So we conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.

If you want to learn more about arithmetic sequences:

brainly.com/question/6561461

#SPJ1

6 0

1 year ago