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3 years ago

Four times a number plus three times a second number is negative nine. Twice the first number plus the second number is three.

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

7 0

Answer:

m=9

n=-15

Step-by-step explanation:

If you set it up in a systems of equations way, ou would have

4m+3n=-9

+ . 2m+n=3

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

You would need to cancel out a variable and in my opinion, canceling m out is easier.

4m+3n=-9

+-4m-2n=-6

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

0m+n=-15

n=-15

you then plug this into one of the equations, (in my opinion the 2nd one is easier)

2m-15=3

2m=18

m=9

this gives you m so you can get the answer

m=9 and n=-15

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Which of the following is the correct graph of the solution to the inequality-18>-5x+2>-48

makvit [3.9K]

Answer:

Step-by-step explanation:

we have

$18 > -5x+2 > -48$

This is a compound inequality

Remember that

A compound inequality i can divide in a system of two inequalities

$18 > -5x+2$ -----> inequality A

$-5x+2 > -48$ ---> inequality B

step 1

Solve the inequality A

$18 > -5x+2$

Multiply by -1 both sides

$-18< 5x-2$

$-18+2< 5x$

$-16< 5x$

Divide by 5 both sides

$-3.2< x$

Rewrite

$x > -3.2$

The solution of the inequality A is the interval ----> (-3.2,∞)

step 2

Solve the inequality B

$-5x+2 > -48$

Multiply by -1 both sides

$5x-2 < 48$

$5x < 48+2$

$5x < 50$

Divide by 5 both sides

$x < 10$

The solution of the inequality B is the interval ----> (-∞, 10)

step 3

Find the solution of the compound inequality

(-3.2,∞) ∩ (-∞, 10)=(-3.2,10)

All real numbers greater than -3.2 and less than 10

The graph in the attached figure

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3 years ago

The actual distance between Apple Street and Pear Road is 8 miles. On a map, the distance is 3.5 inches. What proportion can you

Nikolay [14]

Answer:

3.5in/1 in=?/8 miles

because if you multiply 3.5x 8 miles you end up with ## and then you divide that with # and you get this answer

Step-by-step explanation:

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3 years ago

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BigorU [14]

Answer:

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Step-by-step explanation:

we can use option elimination method.

In 2nd option it is saying that i divides by 120.

In 3rd option it is saying that j is subtracted from 120.

In 4rth option it is saying that 120 is subtracted from j.

In 5th option it is saying that 120 multiplied with j .

correct answer is 120÷j

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4 years ago

Isaac, a manager at a supermarket, is inspecting cans of pasta to make sure that the cans are neither dented nor have other defe

Fynjy0 [20]

Answer:

0.0064 is the probability that Isaac will find his first defective can among the first 50 cans.

Step-by-step explanation:

W are given the following in the question:

Probability of defective can =

$P(A) = \dfrac{1}{90}$

We have to find the probability that Isaac will find his first defective can among the first 50 cans.

Then the number of adults follows a geometric distribution, where the probability of success on each trial is p, then the probability that the kth trial (out of k trials) is the first success is

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3 years ago

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3 years ago

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