4x - 3y = 6 ,7x + 3y =27

Answers

Answer 1

Answer:

Step-by-step explanation:

4x - 3y = 6

7x + 3y = 27

11x = 33

x = 3

7(3) + 3y = 27

21 + 3y = 27

3y = 6

y = 2

(3,2)

Answer 2

Answer:

x=3 and y=2

Step-by-step explanation:

Let's solve your system by substitution.

4x−3y=6;7x+3y=27

Step: Solve4x−3y=6for x:

4x−3y=6

4x−3y+3y=6+3y(Add 3y to both sides)

4x=3y+6

4x /4 = 3y+6 /4  (Divide both sides by 4)

x= 3 /4 y+ 3 /2

Step: Substitute

3 /4 y+ 3 /2  for x in7x+3y=27:

7x+3y=27

7( 3 /4 y+ 3 /2 )+3y=27

33 /4 y+ 21 /2

=27 (Simplify both sides of the equation)

33 /4 y+ 21 /2 + (−21 /2 )

=27+ (−21 /2) (Add (-21)/2 to both sides)

33 /4 y= 33 2

33/4y=33/2

33 /4  =33/4 (Divide both sides by 33/4)

y=2

Step: Substitute 2 for y in x= 3 /4 y+ 3 /2

x= 3 /4 y+ 3 /2

x= 3 /4  (2)+ 3 /2

x=3 (Simplify both sides of the equation)

Answer:

x=3 and y=2

HOPE THIS HELPS!!!! :)

<333333333333333


Related Questions

How many 10’s are in 1000

Answers

Answer:

Step-by-step explanation:

10x100=1000

Its all about the Zeros

100 10s are in 1000 just count the zeros

what is the answer to d = -f + 2/3a

Answers

Answer:

For f = -d +2/3a

Step-by-step explanation:

Hope this helps..........

Solve -1 4/5x = 9. 5 1/5 -5 -1/5

Answers

Steps to solve:

-1 4/5x = 9

~Simplify

-9/5x = 9

~Multiply 5/-9 to both sides

x = 5

Best of Luck!

Answer:

5

Step-by-step explanation:

Write the equation of the line that goes through the point
(5,8) and is parallel to the x-axis.

Answers

Answer:

Y=8

Step-by-step explanation:

If it's a line that is parallel to the x-axis, and you know the equation of a line is y=mx+b, the slope(m) is 0 because the line is not a positive or negative slope (since it's parallel to the x-axis).

So, we now have y=b, where b is the y-intercept. Now, since we know one of its coordinates are (5,8), we know that this line will always stay on y=8 since 8 is the y coordinate of (5,8)

An easy shortcut is if you see the question say parallel to the x-axis, the equation of the line will be y=___; if it says the line is parallel to the y-axis, the equation will be x=___

n engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.4 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 9 engines and the mean pressure was 5.7 pounds/square inch with a variance of 0.81. A level of significance of 0.025 will be used. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.

Answers

Answer:

The calculated t- value =  1.11 > 2.89 at 0.025 level of significance

Null hypothesis is rejected

The engineer designed the valve such that it would produce a mean pressure is not equal to  5.4

Step-by-step explanation:

Step(i):-

Given mean of the Population (μ) = 5.4

Given sample size 'n' = 9

Mean of the sample (x⁻) = 5.7

Standard deviation of the sample (s) = 0.81

Step(ii):-

Null Hypothesis: H₀:  The engineer designed the valve such that it would produce a mean pressure of 5.4

H₀: μ = 5.4

Alternative Hypothesis : H₁:  μ ≠ 5.4

Level of significance = 0.025

Test statistic

            [tex]t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]

           [tex]t = \frac{5.7 -5.4}{\frac{0.81}{\sqrt{9} } }[/tex]

         t = 1.11

Degrees of freedom

ν = n-1 = 9-1 =8

t₀.₀₁₅ , ₈  = 2.89

The calculated t- value =  1.11 > 2.89 at 0.025 level of significance

Null hypothesis is rejected

The engineer designed the valve such that it would produce a mean pressure is not equal to  5.4

Which is the best estimate for the percent equivalent to 3/8?

A.) 26% B.) 27% C.) 37% D.) 38%

Answers

Answer:

C.) 37%

Explanation:

To find this out, turn 3/8 into decimal form, (0.375).

Now, turn each percent into standard form. (Also decimal form)

26% = 0.26, 27% = 0.27, 37% = 0.37, and 38% = 0.38.

The decimal closest to 0.375 is 37%.

Hope this helped! ♥♥

Mark Me as Brainliest Please! :3

Answer:

D.) 38%

Step-by-step explanation:

Convert the fraction into a decimal:

[tex]\frac{3}{8}=0.375[/tex]

Convert the decimal into a percent:

[tex]0.375*100=37.5[/tex]

0.375 = 37.5%

Round the percent:

37.5% ≈ 38%

Option D is the best answer.

Hope this helps.

262 fewer than d is z

write the sentence as a equation ​

Answers

Answer:

Step-by-step explanation:

d - 262 = z

a triangle window has area 24 square feet and height six feet. what is its base? define variable, and set up and solve an equation to answer this.

Answers

Answer:

6*y/2=24

24*2=48

48/6=8

y=8

Step-by-step explanation:

The equation will be 24 = [tex]\frac{1}{2}[/tex] × b × 6 value of base will be b = 8 ft .

A triangle has area 24 square ft. and height 6 ft.

What will be its base. Find an equation also.

What is the formula of area of triangle ?

Area of triangle is ; Area = [tex]\frac{1}{2}[/tex] × b × h

∵ The equation of area of triangle will be ;

Area = A = [tex]\frac{1}{2}[/tex] × b × h ----- - --- --- --- Equation 1

A = 24 = [tex]\frac{1}{2}[/tex] × b × 6

⇒ b = [tex]\frac{24 * 2}{6}[/tex] = [tex]\frac{48}{6}[/tex] = 8

b = 8 ft.

Thus , the equation will be 24 = [tex]\frac{1}{2}[/tex] × b × 6 value of base will be b = 8 ft .

To learn more about area of triangle click here ;

https://brainly.com/question/23945265

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the seventh grade winner ran the mile in 5 minutes and 8 seconds. the eight grade winner ran the mile in 4 minutes and 55 seconds. how many more seconds did it take for the seventh grade winner to run a mile?

Answers

Answer:

13 seconds more

Step-by-step explanation:

A bag contain 6 tiles labeled B,C,D,E,F. And G. One tile will be randomly picked. What is the probability of picking a letter that is a vowel?

Answers

N(S)=6

P(vowel letter)= N(vowel letter)÷N(S)

= 1/6

Answer:1/6

Step-by-step explanation:f

The EOQ model
A) determines only how frequently to order.
B) considers total cost.
C) minimizes both ordering and holding costs.
D) all of the alternatives are correct.

Answers

Answer:

B) considers total cost.

Step-by-step explanation:

Economic order quantity (EOQ) is the ideal order quantity a company should purchase to minimize inventory costs such as holding costs, shortage costs, and order costs.

The formula for EOQ is:

Q= √2DS/H

Q=EOQ units

D=Demand in units (typically on an annual basis)

S=Order cost (per purchase order)

H=Holding costs (per unit, per year)

Please help. I’ll mark you as brainliest if correct!

One leg of a right triangle has a length of 3 m. The other sides have lengths that are consecutive integers. Find these lengths.

The other leg is ___ m.

Answers

Answer:

The other leg is 4 m long, and the hypotenuse is 5 m long

Step-by-step explanation:

Recall that the longest side of a right angle triangle is its hypotenuse, and that the legs and hypotenuse must verify the Pythagorean identity:

[tex]hyp^2=leg_1^2+leg_2^2[/tex]

so, we know that the other two sides have consecutive integers for lengths. That is: if one is "x" in length, the other one must be "x+1"

So we can assume that the largest of this is the hypotenuse: "x+1"

Not, they must verify the Pythagorean identity:

[tex]hyp^2=leg_1^2+leg_2^2\\(x+1)^2=x^2+3^2\\x^2+2\,x+1=x^2+9\\2\,x+1=9\\2\,x=8\\x = 4[/tex]

then, the other side is of length 4 m, and finally the hypotenuse is of length 4+1 = 5 m

Question 3 (2 points)

Using the statement below, determine the hypothesis and conclusion,

If two integers are even, then their sum is even

Column A

Column B

1.

Hypothesis

a. If two integers are even

2.

Conclusion

b. then their sum is even

c. two integers are even

d. their sum is even

Answers

Answer:

Hypothesis

a. If two integers are even

Conclusion

b. then their sum is even

Step-by-step explanation:

We divide the statement into two parts . The first part is true only when the second is also true. The only way we can reject the hypothesis is that the conclusion is false.

In the statement "If two integers are even, then their sum is even" the part "If two integers are even" would be considered true or false on the basis of "then their sum is even" validity. So if the "then their sum is even" (conclusion )  Part is proved then the "If two integers are even" ( hypothesis) is also true.

Hence the hypothesis is

a. If two integers are even

and

Conclusion is

b. then their sum is even

A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7 degrees. How high is the lamppost? Round to the nearest foot

Answers

Answer:

12 feet or 12 ft

Step-by-step explanation:

We solve for this question using Trigonometric function of Tangent

tan θ = Opposite/ Adjacent

θ = Angle of elevation = 33.7°

Opposite side = Height of the lamp = ??

Adjacent side = Shadow of the lamp = 18 feet

Hence,

tan 33.7° = Opposite/ 18

tan 33.7° × 18 = Opposite

Opposite = 12.004507735 feet

Approximately to the nearest foot = 12.0feet

The height of the lamppost with a shadow of 18 ft. is 12 feet.

Trigonometric ratio

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the height of the lamppost, hence:

tan(33.7) = h/18

h = 12 feet

The height of the lamppost with a shadow of 18 ft. is 12 feet.

Find out more on Trigonometric ratio at: https://brainly.com/question/1201366

Use the ogive to approximate​ (a) the number in the​ sample, (b) the location of the greatest increase in frequency.

Answers

Answer:

Step-by-step explanation:

A). Number of samples given in the ogive = Number of points given n the graph

    Number of points plotted on the graph = 16

    Therefore, number of samples given = 16

B). Frequency at a point where weight of the pumpkins is 23.5 = 10

    Frequency at a point where weight of the pumpkin is 24.5 = 23

    Increase in frequency = 23 - 10 = 13

   None other points have the increase more than the given points.

Location of the greatest increase in the frequency is between the weights 23.5 - 24.5 pounds.

The number of samples is 16, and the location of greatest increase in frequency is 23.5 to 24.5.

We are provided with an ogive curve. In the x-axis, we have weight in pounds and y-axis represents frequency.

(a).

Now, the number of points on the ogive represents the number of sample.

So, the number of points on the curve is 16 which is also the number of samples.

(b).

The greatest increase in frequency is represented in the range 23.5 to 24.5.

The greatest hike in frequency is about 10.

Therefore, the number of samples is 16, and the location of greatest increase in frequency is 23.5 to 24.5.

To know more about the ogive curve:

https://brainly.com/question/1674589

John travels in an airplane a distance of 800 km. For half of the distance, the
airplane flies at a speed of 900 km/h and for the rest of the distance, it flies at a
speed of 760 km/h. How long does the trip take?

Answers

Answer:

Time for the trip= 0.97 hours

Step-by-step explanation:

Distance covered in total = 800km

First half of the journey

= 800/2= 400km

Speed for first half= 900km/h

Time for the first half= 400/900

Time = 4/9 Hours

Distance covered in total = 800km

Second half of the journey

= 800/2= 400km

Speed for second half= 760km/h

Time for the second half= 400/760

Time = 10/19 Hour

Total time for Trip= 4/9 + 10/19

Time for the trip= 0.97 hours

Is the relationship between the height of a staircase and the number of steps linear?

Answers

Answer:A stair rise is the vertical distance from the top of one tread to the top of the next tread. The total run is the overall horizontal distance traveled by the stringer.

Step-by-step explanation:

Proportional ratios are like equivalent fractions, but

Answers

Answer:

what is the question?

Step-by-step explanation:

Five people are tossing a coin in turn and agree that the first one to get a head wins. What's the probability that the first person who tosses the coin wins the game? a. 8/15 b. 16/31 c. 1/2 d. 1/5

Answers

I think it’s 8/15 maybe but if not a

Solve for x.
5x – 7 = 8x – 4

Answers

Answer:

x =-1

Step-by-step explanation:

[tex]5x- 7 = 8x - 4\\\\\mathrm{Add\:}7\mathrm{\:to\:both\:sides}\\5x-7+7=8x-4+7\\\\Simplify\\5x=8x+3\\\\\mathrm{Subtract\:}8x\mathrm{\:from\:both\:sides}\\5x-8x=8x+3-8x\\\\Simplify\\-3x =3\\\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3x}{-3}=\frac{3}{-3}\\\\Simplify\\x=-1[/tex]

Answer:

x = -1

Step-by-step explanation:

[tex]5x - 7 = 8x - 4\\[/tex]

Collect like terms and simplify

[tex]5x-8x =-4+7\\-3x =3[/tex]

Divide both sides of the equation by -3

[tex]\frac{-3x}{-3} = \frac{3}{-3} \\\\x =-1[/tex]

What are the coordinates of B if the midpoint of line segment AB is (2,-5) and the coordinates of point A is (4,4)?

Answers

Answer:

i think it will be 20 unit diatance .

(72- 12 / 3 of 2) + (18 - 6) ÷4 ​

Answers

Answer:

I believe the answer is 72.

Estimate then find the product of 4x979

Answers

Answer:

Around 4000[since 979 close to 1000]

Step-by-step explanation:

4x979

=>3916

solve for r


8(-3r-5)>104

Answers

Answer:

r<-6

Step-by-step explanation:

8(-3r-5)>104

-24r-40>104

-24r>144

r<144÷-24 (the sign switched because we divided by a negative number)

r<-6

What are Three ways to name EF

Answers

As a line, a segment, and a ray

A group of 23 friends gets together to play a sport. First, people must be divided into teams. Each teams has to have exaclty 4 players, and no one can be on more than one team. How many teams can they make?

Answers

Answer:

5

Step-by-step explanation:

The sum of three consecutive numbers is 600. What is the least of these three numbers?

Answers

Answer:

199

Step-by-step explanation:

So we have three consecutive numbers that totals 600 when added.

Let's let the first number be n.

This means that the next number is (n+1), and the subsequent number is (n+2).

This totals 600. In other words:

[tex](n)+(n+1)+(n+2)=600[/tex]

To solve for the integers, solve for n.

Combine like terms:

[tex]3n+3=600[/tex]

Subtract 3 from both sides:

[tex]3n=597[/tex]

Divide both sides by 3:

[tex]n=199[/tex]

So, the first integer is 199.

So our sequence is: 199, 200, 201.

So, the least of the three is 199.

And we're done!

Answer:

199 200 201

Step-by-step explanation:

199+200+201= 600

Gutina finds a limited edition shirt from her favorite singer. It was originally $52. Then, she got a discount, 30%. what is the price now?

Answers

Answer:

$36.40

Step-by-step explanation:

Purchase Price:

$52

Discount:

(52 x 30)/100 = $15.60

Final Price:

52 - 15.60 = $36.40

$36.40 is the answer. Hope this helps!

Answer:

$36.40

Step-by-step explanation:

Sorry if i'm wrong hope this helps

12 + 4 - 8 / 2 * 3 workings pls​

Answers

Answer:

4

Step-by-step explanation:

8/2=4

4*3=12

12+4=16

16-12=4

What is the most appropriate measurement of the amount of liquid in Starpoint's pool?
A. ML.
B. KL.
C. CL.
D. Cg.

Answers

Answer: B. KL.

Step-by-step explanation:

A kiloliter (kl) is a unit which is derived from the metric SI (System International). This measurement is used when unit of volume with sides equal to one meter (1m) and as such, is equivalent to one cubic meter. One kiloliter (1kl) is which is same as one thousand liters (1000l). The kiloliter is used when volume of liquid is to be measured. This applies to a pool in the question.

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