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Katen [24]
3 years ago
10

Solve the system of equations.

Mathematics
1 answer:
irinina [24]3 years ago
8 0

Answer:

x=0 y=4

Step-by-step explanation:

12x−5y=−20

y=x+4

substitute y in the first equation with x+4 (the second equation gives you the value of y straight away)

12x-5*(x+4)=-20

12x-5x-20=-20

7x=0

x=0

use this value of x in the second equation

y=0 + 4 = 4

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scZoUnD [109]
I think in the first sentence, that should have been 3/4 instead of 34. Total amount of steak bought (lb)
                                        total amount = (3/4 lb/steak)(12 steak) = 9 lb
To find the total amount that Silvia spends for each pound of steak, we divide $90 by 9 and that will give us an answer of $10. 
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3 years ago
Multiply mixed numbers 3 1/2 X 2 1/3
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Step-by-step explanation:

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3 years ago
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If a single card is drawn from a standard 52-card deck, what is the probability that it is an ace or a spade?
klasskru [66]

A 52-card deck is made up of an equal number of diamonds, hearts, spades, and clubs. Because there are 4 suits, there is a 1/4 chance to draw one of them, in our case, spades.

There are 4 aces in a 52-card deck, so the chance of drawing one is 4/52, or 1/13.

The question asks for the probability of drawing an ace or a spade. Because it uses the word "or," we add the probabilities together. This is because there is a chance of drawing either of the cards; it doesn't have to meet both requirements to satisfy the statement.

However, if the question were to say "and," we would multiply the two probabilities.

Let's add 1/4 and 1/13. First, we can find a common denominator. We can use 52 because both fractions can multiply into it (since the ratio came from a deck of 52 cards as well).

\frac{1}{4} -- > \frac{13}{52}

\frac{1}{13} -- > \frac{4}{52}

Now we can add them together.

\frac{13}{52} + \frac{4}{52} = \frac{13+4}{52} = \frac{17}{52}

This cannot be simplified further, so the probability is 17 in 52, or 33%.

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7 0
1 year ago
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How many x-intercepts would the function shown below have? <br> F(x) =x^2 (x^2+9) (x^2-3) (5x+1) ^2
-BARSIC- [3]

Step-by-step explanation:

step 1. x intercepts are where y = 0

step 2. y = 0 when factors are equal to zero

step 3. the x intercepts are 0, sqr(3), -sqrt(3), -1/5

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6 0
2 years ago
A 25-foot ladder is leaned against a wall. If the base of the ladder is 7 feet from the wall, how high up the wall will the ladd
GenaCL600 [577]

Answer:

24ft

Step-by-step explanation:

Pythagorean Theorem!!

a^2 + b^2 = c^2

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In this case, the ladder is c, and the base is b.

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Plug the numbers in the formula.

a^2 + 7^2 = 25^2

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a^2 -49 = 625 - 49

a^2 = 576

\sqrt{a^2} = \sqrt{576}

a = 24

8 0
3 years ago
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