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Stolb23 [73]
3 years ago
5

Sadie made a rectangular cake. If she wants to cut it into 1/8 portions,how many portions can she cut?

Mathematics
1 answer:
amid [387]3 years ago
3 0

Answer:

  8

Step-by-step explanation:

If each portion is 1/8 of the cake, there are 8 equal-size portions. That is what the denominator of the fraction means.

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Tell whether the given value is a solution of the inequality
kipiarov [429]

Answer:

Yes it is, because...

Step-by-step explanation:

This is an inequality, so you can treat it as an algebraic expression.

The first step is to multiple both sides by 2, to get rid of the 2 on the left side.
Your equation will now look like this:
y >= 2y - 22

The next step is to get all the y variables to one side, now that its a lot more simplified. Subtract 2y from both sides to get:
-y >= -22

Finally, cancel out the negative on both sides of the equation to get the y as a positive y, all by itself. This will get you:
y <= 22

REMINDER: when you divide by a negative number, such as in this case dividing by -1 on both sides, the inequality sign will flip!

y = 18 works because it is less than 22. (:

8 0
3 years ago
Read 2 more answers
Find point G on AB such that the ratio of AG to GB is 3:2.
lora16 [44]

Using proportions, the coordinates of point G are given as follows:

(1.8, 1.6).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The points A and B are given as follows:

A(-3, 4) and B(5,0).

For this problem, we have that the ratio of AG to GB is 3:2, hence:

AG = 3/5AB

G - A = 3/5(B - A).

The x-coordinate of G is found as follows:

x + 3 = 3/5(5 + 3)

x + 3 = 4.8

x = 1.8.

The y-coordinate of G is found as follows:

y - 4 = 3/5(0 - 4)

y - 4 = -2.4

y = 1.6.

Hence the coordinates of point G are given as follows:

(1.8, 1.6).

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

5 0
2 years ago
Sombody help please quickly!!
VladimirAG [237]

Answer:

38%

Step-by-step explanation:

Change \frac{7}{25} to a percent, that is

\frac{7}{25} × 100% = 0.28 × 100% = 28%

Then 34% + 28% = 62% ← go by bus or car, leaving

100% - 62% = 38% walking to school

8 0
3 years ago
Find three consecutive even integers such that 4 times the third integer is 4 more than the 3 times the first integer plus two t
musickatia [10]
Let lowest integer be n  then

4(n + 4)  = 3n + 2(n + 2) + 4

4n + 16 = 5n + 8
8 = n  

so three integers are 8,10 and 12.
4 0
3 years ago
Given: Measure of arc AB = measure of arc BC,
emmasim [6.3K]

9514 1404 393

Answer:

  100°

Step-by-step explanation:

The relevant relation for angle x is ...

  x = (AB +DE)/2

and for angle y, it is ...

  y =(AC -DE)/2

Using the second relation to write an expression for DE, we have ...

  DE = AC -2y

In the first equation, this lets us write ...

  x = (AB +(AC -2y))/2 = (AB +(2AB -2y))/2

  2x = 3AB-2y . . . . . . . . . . . . . . multiply by 2

  (2x +2y)/3 = AB = AC/2 . . . . . add 2y; divide by 3

  AC = (4/3)(x +y) = (4/3)(60° +15°) . . . . multiply by 2, substitute known values

  AC = 100°

6 0
3 years ago
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