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marishachu [46]
3 years ago
12

Morgan needs to order some new supplies for the restaurant where she works. The restaurant needs at least 650 glasses. There are

currently 380 glasses. If each set on sale contains 15 glasses, write and solve an inequality which can be used to determine
s
s, the number of sets of glasses Morgan could buy for the restaurant to have enough glasses.
Mathematics
1 answer:
lukranit [14]3 years ago
3 0

Answer:

43 Sets for 650

Step-by-step explanation:

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There is a parallelogram ABCD with diagonals AC and BD. The diagonals AC and BD intersects each other at point E. Side AB is con
grandymaker [24]

Answer:

SAS theorem

Step-by-step explanation:

Given

\square ABCD

\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD

\angle BAC = \angle  DCA

Required

Which theorem shows △ABE ≅ △CDE.

From the question, we understand that:

AC and BD intersects at E.

This implies that:

\[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC

and

\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED

So, the congruent sides and angles of △ABE and △CDE are:

\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD ---- S

\angle BAC = \angle  DCA ---- A

\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED or \[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC  --- S

<em>Hence, the theorem that compares both triangles is the SAS theorem</em>

4 0
2 years ago
12 grapes cost 90 $how many can bought in 40$
likoan [24]

Let x = the amount of grapes that can be bought for 0.40.


Note: By 90 I assume you mean 90 cents. The same for 40.


12/x = 0.90/0.40


0.90x = 12(0.40)


0.90x = 4.80


x = 4.80 ÷ 0.90


x = 5.33333


We can round the decimal to the ones place to get 5 grapes.




4 0
3 years ago
Read 2 more answers
I have 10 goats, n of which are male. I need to choose 2 of them to make a casserole.
snow_tiger [21]

Answer: There are 4 male goats.

Step-by-step explanation:

We know that n of the 10 goats are male.

The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)

The probability is;

p = n/10

Now the total number of goats is 9, and the number of male goats is n -1

then the probability of selecting a male goat again is:

q = (n-1)/9

The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is

P = p*q = (n/10)*((n-1)/9)

And we know that this probability is equal to 2/15

Then we have:

(n/10)*((n-1)/9) = 2/15

(n*(n-1))/90 = 2/15

n*(n-1) = 90*2/15 = 12

n^2 - n = 12

n^2 - n - 12  = 0

This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:

For an equation:

a*x^2  + b*x + c =  0

The two solutions are given by:

x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}

For our case, the solutions will be:

n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}

The two solutions are:

n = (1 - 7)/2 = -3    (this solution does not make sense, we can not have a negative number of goats)

The other solution is:

n = (1 + 7)/2 = 4

This solution does make sense, this means that we have 4 male goats.

5 0
3 years ago
Find two consecutive even integers such that 3 times the smaller integer is 16 more than twice the larger
Verdich [7]

n, n + 2 - two consecutive even integers

3n = 2(n + 2) + 16     |use distributive property

3n = (2)(n) + (2)(2) + 16

3n = 2n + 4 + 16

3n = 2n + 20     |subtract 2n from both sides

n = 20

n + 2 = 20 + 2 = 22

Answer: 20, 22.

4 0
3 years ago
Simplify.
Dafna1 [17]

Answer:

A) 7x^3 + 13x^2 + 8x + 9

Step-by-step explanation:

(3x^2 + 2x + 7x^3) + (10x^2 + 6x + 9)

I like to line them up vertically

7x^3 +3x^2 + 2x

+       (10x^2 + 6x + 9)

-----------------------------------

7x^3 +13x^2 +8x +9

4 0
3 years ago
Read 2 more answers
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