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2 years ago

How would I solve y=5x-2 & -14x+y=16 in a substitution equation

1 answer:

7 0

You would substitute the given value of “y” into the equation of -14x+y=16
-14x+5x-2=16

Then you would solve for “x”
x=2

You would then substitute the value of “x” into the equation to solve for “y”
y=5(2)-2

Which would then give you a value for “y”
y=12
So the answer is (2,12)

You might be interested in

The word problem says there are 28 hats , 11 of them have flowers on them , 7 of the 11 hats with flowers on them are blue,what

anyanavicka [17]

The answer that makes sense if 7/11 because a fraction of 11 hats are blue with flowers

4 0

3 years ago

A box is to be wrapped in a shiny pink decorative paper. The box is 99 inches long, 55 inches wide, and 44 inches high.

vaieri [72.5K]

Answer:

24442 square inches of decorative paper

Step-by-step explanation:

To solve for the above question, we have to find the Surface Area of the box. The box is shaped as a Rectangular Prism.

Hence, the formula is given as:

A = 2(wl + hl+ hw)

Where:

Length (l) = 99 inches

Width (w) = 55 inches

Height (h) = 44 inches

=2 × (55×99 + 44×99 + 44×55)

=24442 square inches

Therefore, the minimum amount of decorative paper needed to cover the box is 24442 square inches of decorative paper.

6 0

2 years ago

A value is in the domain of a function if there is a(n)_____ on the graph at the x-value.

ANEK [815]

Answer:

Point

Step-by-step explanation:

8 0

3 years ago

A child is playing a game of horseshoes the child’s hand is that a height of 2.6 feet and needs to release the horse you to get

Andrews [41]

Answer:

18°

Step-by-step explanation:

The angle of depression θ from the child's hand and the angle of elevation from the target are congruent.

In the diagram below,

tanθ = 2.6/8

= 0.325

θ = tan⁻¹0.325

= 18°

The angle of depression is 18°.

4 0

3 years ago

At a college campus, random drug tests are carried out to prevent use of prohibited drugs by athletes. Of all the athletes on ca

saw5 [17]

Answer:

a) 0.3064 = 30.64% probability that athlete will test positive for prohibited drug use.

b) 0.2693 = 26.93% probability that this drug user never used the prohibited drug.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

A. If an athlete is selected at random, what is the probability that athlete will test positive for prohibited drug use?

100 - 5 = 95% of 8%

100 - 13 = 87% of 17%

11% of 75%

$p = 0.95*0.08 + 0.87*0.17 + 0.11*0.75 = 0.3064$

0.3064 = 30.64% probability that athlete will test positive for prohibited drug use.

B. If an athlete tests positive after a drug test, what is the probability that this drug user never used the prohibited drug?

Conditional Probability

Event A: Tests Positive

Event B: Never used the drug.

0.3064 = 30.64% probability that athlete will test positive for prohibited drug use

This means that $P(A) = 0.3064$

Probability of testing positive while never using the drug.

11% of 75%. So

$P(A \cap B) = 0.11*0.75 = 0.0825$

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0825}{0.3064} = 0.2693$

0.2693 = 26.93% probability that this drug user never used the prohibited drug.

8 0

2 years ago