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2 years ago

2x+2y=17 4x-y=25 What is the x value of the system of equations

2 answers:

4 0

X=4.2
For the second equation, y=4x-25. Then you plug that into the first equation, which would form: 2x+2(4x-25)=17. Simplify. 2x+8x-25=17. 10x=42. x=4.2

umka2103 [35]2 years ago

4 0

Answer:

6.7 is the value of x.

Step-by-step explanation:

Given equations are

2x+2y=17 eq(1)

4x-y=25 eq(2)

from eq(2), we get

-y=25-4x

multiplying by -1 to above equation, we get

y=-25+4x

y=4x-25

subtitute above value of y in eq(1), we get

2x+2(4x-25)=17

2x+8x-50=17

add 50 on both sides of above equation, we get

2x+8x-50+50=17+50

2x+8x+0=17+50

2x+8x=17+50

add like terms

10x=67

dividing by 10 on both sides of above equation, we get

10x/10=67/10

x=67/10=6.7 which is the answer.

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A florist has to pay $7.50 each time a customer chooses a competitor for the delivery of flowers. Which expression shows the amo

Veronika [31]

Answer: $320 - $7.50p

Step-by-step explanation:

Based on the information given in the question, the expression that shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00 before any payment is made to their competitors will be:

= $320 - $7.50p

where,

$320 = revenue made before any payment

$7.50 = amount paid for a customer choosing a competitor

p = number of customers

6 0

2 years ago

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Riangle ABC is isosceles. Triangle A B C is shown. The lengths of sides A C and A B are congruent. What is true about the measur

sesenic [268]

Answer: It is equal to the measure of angle C.

Step-by-step explanation:

If we know that Triangle ABC isosceles, then that means two sides and two angles are congruent to each other. Angle A must the topmost angle, and Angle B and C are probably the base angles. So, saying that, the base angles and sides are congruent to each other. Hence, Angle B must be equal to Angle C.

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3 years ago

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Solve: 4x+6y+2=0 and 9y=6x+21

AVprozaik [17]

I hope this helps you

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3 years ago

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Mr. Smith has 12 congruent boxes shaped like rectangular prisms in his office. If the length is 25 inches, the height is 2 feet,

Nana76 [90]

Answer:

width of one box = 1.25 inches

Step-by-step explanation:

Given data:

12 congruent boxes

Length = 25 inches

height = 2 feet

Volume = 9000 cubic inches

First change the height into inches

1 foot = 12 inches

therefore 2 feet = 24 inches

Volume = Length * width * height

9000 = 25 * width * 24

9000 = 600 * width

width = 9000/600

width = 15 inches

width of one box = width of all boxes / number of boxes

width of one box = 15/12

width of one box = 1.25 inches

4 0

3 years ago

According to a recent New York Times poll, 25% of the public have responded to a telephone call-in

ArbitrLikvidat [17]

Answer:

Probability that exactly two people out of a randomly chosen group of five people have responded to a telephone call-in poll is 0.264.

Step-by-step explanation:

We are given that according to a recent New York Times poll, 25% of the public have responded to a telephone call-in poll.

Also, five people have people have been randomly selected.

The above situation can be represented through binomial distribution;

$P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......$

where, n = number trials (samples) taken = 5 people

r = number of success = exactly two

p = probability of success which in our question is probability that

public have responded to a telephone call-in poll, i.e; p = 25%

Let X = Number of people who have responded to a telephone call-in poll

So, X ~ Binom(n = 5, p = 0.25)

Now, probability that exactly two people out of group of five people have responded to a telephone call-in poll is given by = P(X = 2)

P(X = 2) = $\binom{5}{2} \times 0.25^{2} \times (1-0.25)^{5-2}$

= $10 \times 0.25^{2} \times 0.75^{3}$

= 0.264

Therefore, the probability that exactly two people out of a randomly chosen group of five people have responded to a telephone call-in poll is 0.264.

3 0

3 years ago