What is the solution to this system of equations 3x+y=17 and x+2y=49

Answers

Answer 1

Answer:x=-3 y=26

Step-by-step explanation:

3x+y=17.............(1)

x+2y=49..............(11)

From (11) x=49-2y

Substitute x=49-2y in 3x+y=17

3(49-2y) + y=17

Open bracket

147-6y+y=17

147-5y=17

Collect like terms

5y=147-17

5y=130

Divide both sides by 5

5y/5=130/5

y=26

Substitute y=26 in x+2y=49

x+2(26)=49

x+52=49

Collect like terms

x=49-52

x=-3

Answer 2

Answer:

It has a single solution: x = -3, y = 26.

Step-by-step explanation:


Related Questions

(-3x + 15) + (-3x + 2)

Answers

Answer:

If you are looking for a simplified equation, then the answer is -6x + 17  

Step-by-step explanation:

(-3x + 15) + (-3x + 2)

Because you are only adding and subtracting here, you can take out the parentheses.

-3x + 15 -3x + 2

= -6x + 17  

Express the null hypothesis and the alternative hypothesis in symbolic form. The owner of a football team claims that the average attendance at games is over 68,800, and he is therefore justified in moving the team to a city with a larger stadium. H0: μ > 68,800 H1: μ ≤ 68,800 H0: μ = 68,800 H1: μ < 68,800 H0: μ < 68,800 H1: μ ≥ 68,800 H0: μ ≤ 68,800 H1: μ > 68,800

Answers

Answer:

H0: μ ≤ 68,800

H1: μ > 68,800

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (H1) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above;

The Null hypothesis is that the average attendance at games is less than or equal to 68,800.

H0: μ ≤ 68,800

The alternative hypothesis is that the average attendance at games is over 68,800.

H1: μ > 68,800

H₀: μ ≤ 68,800 H₁: μ > 68,800. Then the correct option is D.

What are null hypotheses and alternative hypotheses?

In null hypotheses, there is no relationship between the two phenomenons under the assumption, or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

The Null hypothesis is that the average attendance at games is less than or equal to 68,800.

H₀: μ ≤ 68,800

The alternative hypothesis is that the average attendance at games is over 68,800.

H₁: μ > 68,800

Then the correct option is D.

More about the null hypotheses and alternative hypotheses link is given below.

https://brainly.com/question/9504281

#SPJ5

X/7 ≥  -6 solve for x

Answers

Answer:

x>=42

Step-by-step explanation:

multiply by 7 on both sides

A sculpture sits on a pedestal in the shape of a square prism. The side lengths of a base of the prism are 3 feet. The height of the prism is 4 feet. The museum director wants to cover all but the underside of the pedestal with foil that costs $0.22 per square foot. How much will the foil cost?

Answers

Answer:

Total cost of covering the pedestal is $12.54.

Step-by-step explanation:

The pedestal is a square prism so top and bottom are of square shape.

Hence, we have here length = width

We know that the Total Surface Area of a Prism is:

[tex]\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)[/tex]

Where l is length,

w is width and

h is height of prism

We know that here w = l = 3 feet

and h = 4 feet

Also, underside of pedestal is not to be covered.

The underside of pedestal is square type.

So,

[tex]\text{Required Total Surface Area = } l\times w+ 2\times w \times h+2\times h \times l[/tex]

[tex]\Rightarrow 3 \times 3 + 2 \times 3 \times 4 + 2 \times 3 \times 4\\\Rightarrow 9 + 24 + 24\\\Rightarrow 57\ ft^{2}[/tex]

Cost of cover per square foot = $ 0.22

Total cost of [tex]57\ ft^{2}[/tex]  [tex]\Rightarrow 0.22 \times 0.57 = \$12.54[/tex]

What is the mean of the probability distribution?

Answers

Answer:

2.0

Step-by-step explanation:

assuming this is from edge 2.0 is correct

Answer:

c

Step-by-step explanation:

Complete 10 for 5-8 points.

Answers

Answer:

$9

Step-by-step explanation:

So say the cost of 1 new release DVD movie is x.

The equation is 52 + 3x = 79

3x = 27

x = 9

$9 because it’s $79

solve the system of equations

Answers

Answer:

r=idk

y=idk

Step-by-step explanation:

4. Kevin is using his scanner to make a smaller version of the school logo to put in the yearbook.
The original is 7 by 10 inches. The reduced image is 5.25 by 7.5 inches. What is the scale
factor of the dilation?
Math Accelerated . Chapter 11 Congruence Similarity and Transformations

How would I show my work?

Answers

Answer:

scale factor 2.5

Step-by-step explanation:

what are three segments from this figure?

Answers

Answer:

AD, DA, ED, DE

Step-by-step explanation:

what does 1 1/2+ 2/3+3/4 equal

Answers

Answer:

2 11/12

Step-by-step explanation:

1 1/2+ 2/3+3/4

The common denominator is 12

1 1/2*6/6+ 2/3*4/4+3/4*3/3

1 6/12 + 8/12  + 9/12

Add together

1 +23/12

1+12/12 +11/12

1+1+11/12

2 11/12

1 1/2 + 2/3 + 3/4=2.91666666667

Pls help me I give brainliest thank uu and can u do step by step

Answers

Answer:

A. 48,000

Step-by-step explanation:

60 x 20= 1200

1,200 x 40= 48,000

Plz mark brainliest .^.

Answer:

To find the volume you have to multiply all the number together in any order. The order doesn't matter.

Step-by-step explanation:

To find volume=

40*20= 800

then, 800*60= 48,000

since it's in cm and there are 3 numbers then it would be 48,000 cm cubed

what is the measure of angle A?

Answers

Answer:

A = 77.32

Step-by-step explanation:

sin theta = opp/ hypotenuse

sin A = 80/82

sin A = 40/41

Take  the inverse sin of each side

A = sin ^-1 (40/41)

A =77.31961651

To the nearest hundredth

A = 77.32

Which of the following values of t will result in a true statement when substituted into the given equation? A. t = 8 B. t = -8 C. t = 11 D. t = -12

Answers

Answer:

B

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

In the diagram below, point P is circumscribed about quadrilateral ABCD. What is the value of x? (Pls answer I give lot of point)

Answers

Answer:

D. 50

Step-by-step explanation:

130+x=180

x=50

Part A - find the diameter of the circle?
Part B - Find the circumference of the circle ?

Answers

Answer:

A) 16 cm

B) 50.24 cm

Step-by-step explanation:

Part A:

The diameter is double the radius

The radius is half of the diameter

To work out the diameter you would simply multiply the radius of 8 cm by 2, this gives you 16 cm. This is because the radius is half of the length of the diameter.

1) Multiply 8 by 2.

[tex]8*2=16 cm[/tex]

Part B:

The formula for the circumference of a circle is : [tex]\pi *diameter[/tex]

To work out the Circumference you would multiply the diameter of 16 cm by pi, this gives you 50.24 cm. This is because if you were to substitute the value of the diameter into the formula you would get the same result.

1) Multiply pi by 16.

[tex]\pi*16=50.24[/tex]

Pi in this case is 3.14

HELP ME PLEASE , ALOT OF POINTS, CHECK DOCUMENT! Show work

Answers

Answer:

x=8

Step-by-step explanation:

log4( x-6) +log4(x) = 2

We know that loga + log b = log (ab)

log4( x-6)(x) = 2

Raise each side to the base of 4

4^log4( x-6)(x) = 4^2

( x-6)(x) = 16

Distribute

x^2 -6x = 16

Subtract 16 from each side

x^2 -6x-16 = 0

Factor

(x-8) (x+2) =0

Using the zero product property

x-8=0      x+2 =0

x=8     x=-2

Checking, we cannot have the log of a negative number so -2 is not a solution

Answer:

x = 8

Step-by-step explanation:

log4(x - 6) + log4(x) = 2

log4[(x - 6) × x] = 2

x² - 6x = 4²

x² - 6x - 16 = 0

x² - 8x + 2x - 16 = 0

x(x - 8) + 2(x - 8) = 0

(x + 2)(x - 8) = 0

x = 8, -2

Log of negative numbers do not exist, so x is only 8

what is the area of a circle with the equation (x − 6)² + (y + 2)² = 17 ?

Answers

Answer:

17π

Step-by-step explanation:

Equation of a circle is:

(x − h)² + (y − k)² = r²

Area of a circle is:

A = πr²

r² = 17, so A = 17π.

A shoe manufacturer was investigating the weights of men's soccer cleats. He felt that the weight of these cleats was less than the average weight of 10 ounces. After a random sample of 13 pairs of cleats, he found that sample mean was 9.63 and the standard deviation was .585. At a significance level of .05, can it be concluded that the researcher was correct?
Show work

Answers

Answer:

 The conclusion is that the researcher was correct

Step-by-step explanation:

From the question we are told that

     The sample size is  [tex]n = 13[/tex]

    The sample mean is  [tex]\= x = 9.63[/tex]

     The standard deviation is  [tex]s = 0.585[/tex]

      The significance level is  [tex]\alpha = 0.05[/tex]

The Null Hypothesis is  [tex]H_o : \mu = 0[/tex]

The Alternative  Hypothesis  is  [tex]H_a = \mu < 10[/tex]

The test statistic is  mathematically represented as

          [tex]t = \frac{\= x - \mu }{\frac{s}{\sqrt{n} } }[/tex]

Substituting values

          [tex]t = \frac{9.63 - 10 }{\frac{0.585}{\sqrt{13} } }[/tex]

         [tex]t = - 2.280[/tex]

Now the critical value for [tex]\alpha[/tex] is  

     [tex]t_{\alpha } = 1.645[/tex]

This obtained from the critical value table

  So comparing the critical value of alpha and the test value we see that the test value is less than the critical value so the Null Hypothesis is rejected

 The conclusion is that the researcher was correct

 

 

A certain manufacturing company has the following data on quantities shipped and unit costs for each of its four products.

Products

Base-Period
Quantities (Year 1)

Mean Shipping Cost
per Unit ($)

Year 1

Year 5

A

1,500

10.50

15.90

B

5,000

16.25

33.00

C

6,500

12.20

18.40

D

2,500

20.00

35.50

Use the price data to compute a Paasche index for the shipping cost if year 5 quantities are 4,000, 3,000, 8,000, and 3,000 for products A, B, C, and D, respectively. (Round your answer to the nearest integer.)

I5 =

Answers

Answer:

Paasche's Index=  168.63= 169

Step-by-step explanation:

Products

Base-Period                                                    Current Period

    Quantities    Mean Shipping                    Quantities    Mean Shipping

     (Year 1)         Cost per Unit ($)                  (Year 5)  Cost per Unit ($)

A         1,500         10.50                         4000                 15.90

B         5,000      16.25                            3000                 33.00

C         6,500        12.20                          8000                  18.40

D          2,500      20.00                         3000                   35.50

Paasche's Index= ∑ pn.qn/∑po.qn* 100

Where pn is the price of the current year and qn is the quantity of the current year and po. is the price of the base year and qo. is the quantity of the base year.

Paasche's Index is the percentage ratio of the aggregate of given period prices weighted by the quantities sold or consumed in the given period to the aggregate of the base period prices weighted by the given period quantities.

Multiplying the current year prices with the current year quantities and the base year price with the current year quantities we get.

Product               pn.qn                      po.qn

A                         15.90* 4000         10.50* 4000

                          = 63600                    =42000

B                       33.00*3000           16.25 * 3000  

                           = 99000                    = 48750

C                      18.40* 8000          12.20 *8000

                            =147200                 =97600

D                     35.50* 3000        20.00*3000  

                          =106500              60,000        

∑                          416300                  248350      

Paasche's Index= ∑ pn.qn/∑po.qn= 416300/ 248350 *100  =  1.676=1.68= 168.63= 169

you roll a cube find the probability of rolling an even number?

Answers

Answer: 1/2

Step-by-step explanation: Note that to roll an even number, we can roll a 2, 4, or 6.

So there are three ways to roll an even number.

Now let's use our ratio for the probability of an event.

P(event) = number of favorable outcomes/total number of outcomes

Since we want to find the probability of rolling a 3, the number of favorable outcomes for rolling a 3 will go on top in the ratio.

Also, remember that a number cube has six total outcomes.

So 6 will go in the bottom of our ratio

So the probability of rolling an even number is 3/6.

However, we can reduced 3/6 to 1/2.

Always reduce when finding probability.

So the probability or likelihood of rolling an even number is 1/2.

I need help ! I don’t understand pleaseee. ASAP!

Answers

C. Plz tell me if it is wrong I’m sorry if it is ☺️

Answer:

[tex]h=\frac{V}{\pi r^2}[/tex] this is the formula to find height

Step-by-step explanation:

What is the area of this parallelogram

Answers

Answer:

27

Step-by-step explanation:

The area of this parallelogram is its base times height. 6x4.5 is 27.

Hope this helps! (please mark me brainliest)

7.5% of what is 7.38?

Answers

Answer:

What =98.4

Step-by-step explanation:

Of means multiply and is means equals

7.5% * What = 7.38

Change to decimal form

.075 * what = 7.38

Divide each side by .075

.075 What /.075 = 7.38/.075

What =98.4

Answer:

the answer for this question is 98.4

Simplify (-2x^3)2•y•y^9

Answers

Answer: -4x^3 y^10
-2x^3 • 2 = 4 (because 2•2 is 4, they don’t share the same variable so you just multiply the base)
y^9 • y^1 (9+1=10)

-4x^3 y^10

Simplify (-2x^3)^2 •y•y^9       Answer 4x^6y^10

Solve: 3x
+ 4 = 5x - 4x - 8​

Answers

Answer:

3x =  - 18

Step-by-step explanation:

1. Simplify this equation in terms of what is already provided:

3x + 4 = 5x - 4x - 8 ⇒ 3x + 4 = x - 8

2. Now subtract 3x from either side, at the same time adding 8 to either side:   3x + 4 = x - 8 ⇒ 4 = -2x - 8 ⇒ 12 = -2x

3. Divide -2 on either side to isolate the x, and recieve it's value:

12 = -2x ⇒ x = 12/-2 ⇒ x = -6

4. The question demads for the value of 3x, so simply multiply the known value of x by 3, as such: x = -6 ⇒ 3x = -6 * 3 = -18

The answer is 3x=-18

What is the volume of this rectangular prism?(HURRY)

Answers

Answer:

295.2

Step-by-step explanation:

Answer:295.2 cm^3

Step-by-step explanation:

Length=L=15cm

Width=w=4.1cm

Height=h=4.8cm

volume of rectangular prism=L x w x h

Volume=15x4.1x4.8

Volume=295.2 cm^3

A sector with an area of 11/2*pi cm^2 has radius of 3 cm. What is the central angle measure of a sector in degrees?

190
200
210
220

Answers

Answer:

Step-by-step explanation:

Area of sector = angle/360 * pi * r^2

5.5pi = angle/360 * pi * 9

5.5 = angle/360 * 9

angle = (5.5 * 360)/9 = 40 * 5.5 = 220

What is the 25th term of this arithmetic sequence?
{8, 5, 2,-1,-4, ...}
Type the correct answer in the box. Use numerals instead of words.

Answers

Answer:

Continue the pattern 24 more times by multiplying 24 terms with 3 subtracted per term

24x3=72

subtract 72 to find the term

8-72=-64

Should be -64 but we will still continue the pattern to double check

8,5,2,-1,-4,-7,-10,-13,-16,-19,-22,-25,-28,-31,-34,-37,-40,-43,-46,-49,-52,-55,-58,-61,-64

-64 is the 25th term

Hope this helps

Step-by-step explanation:

A firm produces two types of earphones per year: x thousand of type A and y thousand of type B. The cost function (in thousands of dollars) is given by
C(x,y)=110+80x+130y
If the selling price of type A is p and the selling price of type B is q, the price-demand equations are
p=120-3x+y
q=210+x-7y
Determine how many of each type of earphone should be produced per year to maximize profit? What should be the selling prices p and q? What is the maximum profit?

Answers

Answer:

9000 A and 7000 B should be producedp = 100, q = 170$350,000 is the maximum profit

Step-by-step explanation:

We assume that "p" and "q" are given in dollars, so that the profit function (in thousands of dollars) can be written:

  P = xp +yq -C(x, y)

Profit will be maximized when the partial derivatives of P with respect to x and y are both zero:

  ∂P/∂x = p +x(∂p/∂x) +y(∂q/∂x) -∂C/∂x = 0

  (120 -3x +y) +x(-3) +y(1) -80 = 0

  -6x +2y +40 = 0

  3x -y = 20 . . . . put in standard form

and ...

  ∂P/∂y = x(∂p/∂y) +q +y(∂q/∂y) -∂C/∂y = 0

  x(1) +(210 +x -7y) +y(-7) -(130) = 0

  2x -14y +80 = 0

  x -7y = -40 . . . . put in standard form

__

The solution to these simultaneous equations can be found a variety of ways. Using Cramer's Rule, we have ...

  x = ((-1)(-40) -(-7)(20))/(-1·1-(-7)(3)) = 180/20 = 9

  y = (20(1) -(-40)(3))/20 = 140/20 = 7

9000 type A and 7000 type B earphones should be produced.

__

The corresponding selling prices are ...

  p = 120 -3(9) +7 = 100

  q = 210 +9 -7(7) = 170

The selling prices should be ...

  p = $100, q = $170

__

The maximum profit is ...

  P = xp +yq -C(x, y) = (9)(100) +(7)(170) -(110 +80(9) +130(7))

  P = 9(100 -180) +7(170 -130) -110 = 180 +280 -110

  P = 350

The maximum profit is $350,000.

2x2+3y=-2 solve for y

Answers

Answer:

y=(-2/3)x^2-(2/3)

Step-by-step explanation:

2x^2+3y=-2

3y=-2x^2-2

y=(-2/3)x^2-(2/3)

Answer:

y= -2

Step-by-step explanation:

2x2+3y=-2

4+3y=-2

Subtract 4 from both sides

3y=-6

Divide both sides by 3

y= -2

In my case, x means multiplied by not a variable.

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