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daser333 [38]
3 years ago
8

Which expression is equivalent to 8x - 12y + 32

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
5 0
4(2x-3y+8)

Hope its the correct answer
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Find the volume of the prism.​
Gemiola [76]

Answer:

Step-by-step explanation:

The volume of the triangular prism, this is an isosceles triangular prism is

V=1/2 * a*b*h

V=1/2 x10x8x14=560 cm^3

4 0
2 years ago
90 hazelnuts have a mass of 125 g. Hazelnuts have 630 calories per 100 g. work out the number of calories per hazelnut
jenyasd209 [6]

90 hazelnuts = 125g

Therefore, the mass of one hazelnut is this...

90 / 90 = 125 / 90

1 hazelnut = 25/18 grams


630 calories = 100 grams

100 divided by 25/18 = 72

Therefore...

630 / 72 = 1 hazelnut

AND THE ANSWER IS

8.75 calories = 1 hazelnut

8 0
3 years ago
Read 2 more answers
A single card is drawn from a standard 52-card deck. Let D be the event that the card drawn is a black card and let F be the eve
tester [92]

Answer:

The indicated probability of P(D \cup F')=\frac{25}{26}

Step-by-step explanation:

Probability of an event E to be;

P(E) = \frac{Number of events within E}{Total number of possible outcomes}

As per the given condition:

Total number of possible outcomes =  52 cards.

Let the event be D and F as follows;

D : Drawn card is a black card

F : Drawn card is a 10 card.    

Then,

From the given condition:

P(D) = \frac{26}{52}   [Out of 52 cards, 26 were black] ,

P(F) = \frac{4}{52}    [Out of 52 cards, there are four  10 cards]

For any two events A and B we always have;

P(A \cup B) = P(A)+P(B)-P(A \cap B)

Now, we have to find the indicated probability:

P(D \cup F')=P(D)+P(F')-P(D \cap F')               ......[1]

First find the P(F');

P(F') =1-P(F) = 1-\frac{4}{52} =\frac{52-4}{52} =\frac{48}{52}

Also, to find P(D \cap F').

We use the formula :

For any event A and B independent variable.

P(A \cap B) =P(A) \cdot P(B)

then;

P(D \cap F') =P(D) \cdot P(F') = \frac{26}{52} \cdot \frac{48}{52} =\frac{24}{52}

Now, substitute these in [1];

P(D \cup F')=\frac{26}{52} +\frac{48}{52} -\frac{24}{52}=\frac{26+48-24}{52} =\frac{50}{52} = \frac{25}{26}

Therefore, the probability of P(D \cup F')=\frac{25}{26}



3 0
3 years ago
Evaluate the expression when a=4 and x=-4.<br><br> -9a + x
svetlana [45]

Answer:

- 40

Step-by-step explanation:

When a = 4, and x = -4:

Evaluating algebraic expressions simply involve substituting the given values for <em>a</em> and<em> x</em> into the expression, -9a + x.

Hence, -9a + x = -9(4) + (-4) = -36 - 4 = -40

Therefore, the correct answer is -40.

3 0
2 years ago
Use the long division method to find the result when 9x^3+18x^2+20x+169x 3 +18x 2 +20x+16 is divided by 3x+43x+4.
fenix001 [56]

Given:

Dividend = 9x^3+18x^2+20x+16

Divisor = 3x+4

To find:

The quotient and remainder by using the long division method.

Solution:

Using the long division method, divide the polynomial 9x^3+18x^2+20x+16 by 3x+4 as shown below:

3x+4 |\overline{9x^3+18x^2+20x+16}|3x^2+2x+4\\

         9x^3+12x^2\\\underline{(-)\quad (-)\quad \quad \quad}

             0+6x^2+20x

                   6x^2+8x\\\underline{(-)\quad (-)\quad \quad \quad}

                       0+12x+16  

                             12x+8\\\underline{(-)\quad (-)}

                                     \underline{\quad 0\quad}

Therefore, the quotient is 3x^2+2x+4 and the remainder is 0.

3 0
2 years ago
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