Solve the simultaneous equations 2x + 3 = 13 4x +- y = -2

Answers

Answer 1

Answer:

x=5 and y=22

Step-by-step explanation:

2x+3=13

2x+3+−3=13+−3(Add -3 to both sides)

2x=10

[tex]\frac{2x}{2}[/tex] = [tex]\frac{10}{2}[/tex] (Divide both sides by 2)

x  = 5

Substitute5forxin4x−y=−2:

4x−y=−2

(4)(5)−y=−2

−y+20=−2(Simplify both sides of the equation)

−y+20+−20=−2+−20(Add -20 to both sides)

−y=−22

[tex]\frac{-y}{-1}[/tex] = [tex]\frac{-22}{-1}[/tex]  (Divide both sides by -1)

y=22

Hope this helped!!

Related Questions

The volume of right circular cylinder A is 22 cubic
centimeters. What is the volume, in cubic
centimeters, of a right circular cylinder with twice the
radius and half the height of cylinder A?
A) 11
B) 22
C) 44
D) 66

Answers

.......The answer is A. 11

Answer:

44

Step-by-step explanation:

we know that

 [volume of right circular cylinder]=pi*r²*h

Vo=pi*r²*h--------------> original volume

Vo= 22 cm³

if twice the radius and half the height

r1=2*r

h1=h/2

then

V1=pi*ri²*h1

substituting

V1=pi*(2*r)² *(h/2)----------->V1= pi*4*r² *h/2-----------> V1=2*pi*r² *h

V1=2*[pi*r² *h]------------> V1=2Vo

V1=2*22=44 cm³

ANSWER THIS THX 60 POINTS

Answers

Answer:

B. -7 + 8n

Step-by-step explanation:

-3.5(2 + -3n) + -2.5n = 0

(2 * -3.5 + -3n * -3.5) + -2.5n = 0

(-7 + 10.5n) + -2.5n = 0

0.5n + -2.5n = 8n

-7 + 8n

Answer:

B & E

Step-by-step explanation:

Evaluate the expression.

[tex]-3.5(2 + -3n) + -2.5n\\(2 * -3.5 + -3n * -3.5) + -2.5n \\(-7 + 10.5n) + -2.5n \\-7 + 8n[/tex]

Help me please!!!!!!!

Answers

Answer:

- sign between 9 and 64 under root, it should be + sign

Step-by-step explanation:

(-4)*(-8)(2)= 64

It should read x= √9+64 but not √9-54 which lead to incorrect solution

The answer is B
.......................

Answers

Answer:

Brainliest

Step-by-step explanation:

The one you chose is correct

Determine the volume of a sphere with a diameter of 5 inches.Use 3.14 for Pi, and round your answer to the nearest inch. a. 65 cu. in c. 60 cu. in b. 75 cu. in d. 11 cu. in Please select the best answer from the choices provided

Answers

Answer:

a

Step-by-step explanation:

r = 2.5 in

V = 4(3.14)[tex](2.5 in)^{3}[/tex]/3 = [tex]65 in^{3}[/tex]

The circumference of a circle varies directly as its diameter. When the diameter of a circle is 6 inches the circumference is 18.84 inches then the diameter of a circle with circumference of 6.28 is?

Answers

Answer:

The diameter is 2

Step-by-step explanation:

We can use a ratio to solve

6              x

-------  = --------------

18.84      6.28

Using cross products

6 * 6.28 = 18.84x

Divide each side by 18.84

37.68/18.84 = x

2 =x

I will mark you brainliest!!!! Determine which region contains the solution to the system.

Answers

Answer:

Region B

Step-by-step explanation:

The solution to the system is the point at which the two lines intersect, which would be in Region B.

A model rocket is launched from ground level. Its height, h meters above the ground, is a function of time t seconds after launch and is given by the equation h=-4.9t^2+68.6t What would be the

maximum height, to the nearest meter, attained by the model?

Answers

Answer:

240 m to nearest meter.

Step-by-step explanation:

h = -4.9t^2 + 68.6t

We need to convert this to vertex form to find the maximum value of h:

h = -4.9(t^2 - 14t)

h = -4.9[(t - 7)^2 - 49]

h =  -4.9(t - 7)^2 + 240.1

So maximum height is when t = 7 and it's 240.1 meters.

A fair dice is rolled 3 times in a row. The outcomes are shown below. Calculate the probability of all three events occurring. Roll Outcome 1st 5 2nd factor of 6 3rd more than 1

Answers

Answer:

5/54

Step-by-step explanation:

probability of the dice being 5 = 1/6

probability of the dice being a factor of 6 = 4/6

probability of the dice being more than 1 = 5/6

1/6 * 4/6 = 4/36

4/36 * 5/6 = 20/216

20/216 simplified to lowest is equal to 5/54

Describe the transformation from the parent function of f ( x ) = x 2 to g ( x ) = 6 x 2.(Need answer in less than 2 hours!)

Answers

Answer:  (b) vertical stretch by a factor of 6

Step-by-step explanation:

Consider h(x) = A(x - h)² + k

A is the vertical stretch by a factor of Ah is the horizontal shift (positive = right, negative = left)k is the vertical shift (positive = up, negative = down)

f(x) = x²

g(x) = 6x²

         ↓

       vertical stretch by a factor of 6

Evaluate : -80 - (-15) =

Answers

Answer:

-65

Step-by-step explanation:

-80 - -15

Two minuses become plus

= -80+15

Subtract and keep the sign of the higher number

= -(80-15)

= -65

Answer:

I'm glad you asked!

Step-by-step explanation:

[tex]-80-(-15)[/tex]

= [tex]-80-(-15)[/tex]

= [tex]=-80+15[/tex]

[tex]=-65[/tex]

The answer is - [tex]65.[/tex]

pls Answer me
I will mark as BRAIN LIST. ​

Answers

Answer:

tan p = 5/12.

tan p = cot r.

Step-by-step explanation:

RQ = √(13^2 - 12^2)

= √25

= 5.

tan p = opposite side / adjacent side = 5/12.

cot r = adjacent side / opposite side = 5/12.

tan p = cot r.

9000000 in standard form

Answers

The exponent form is 9.0x106.

Multiply 17/18 by the reciprocal of -289/324.

Answers

Answer:

18/17

Step-by-step explanation:

the negative reciprocal of -289/324 is 324/289. When it is multiplied by 17/18 you get 18/17 as the answer.

Answer:

[tex] - 1 \frac{1}{17}[/tex]

Step-by-step explanation:

[tex]Reciprocal \: of \: - \frac{289}{324} = - \frac{324}{289} \\ \\ \frac{17}{18} \times (- \frac{324}{289} ) \\ \\ = \frac{17}{18} \times (- \frac{18 \times 18}{17 \times 17} ) \\ \\ = - \frac{18}{17} \\ \\ = - 1 \frac{1}{17} \\ [/tex]

Which of these points lie on the line described by the equation below? y-5=6(x-7) A. (-5,-7) B. (7,5) C. (-7,-5) D. (5,7)

Answers

Answer:

Step-by-step explanation:

Answer: (7,5)

Step-by-step explanation:

Drag each equation to show if it could be a correct first step to solving the equation 3(6+x)=24 .

Answers

Answer:

First, you turn it into 18 + 3x = 24

Then do - 18 on both sides to get 3x = 6

so the answer is 2

Step-by-step explanation:

Answer:

I think it might be too late

Step-by-step explanation:

but here it is anyways

Triangle ABC is congruent to TriangleA'BC' by the HL theorem. Triangles A B C and A prime B C prime are connected at point B. Angles A prime C prime B and A C B are right angles. The lengths of C prime A prime and C A are congruent. The lengths of A prime B and B A are congruent. What single rigid transformation maps TriangleABC onto TriangleA'BC'? answer options: Triangle ABC is congruent to TriangleA'BC' by the HL theorem. Triangles A B C and A prime B C prime are connected at point B. Angles A prime C prime B and A C B are right angles. The lengths of C prime A prime and C A are congruent. The lengths of A prime B and B A are congruent. What single rigid transformation maps TriangleABC onto TriangleA'BC'? dilation reflection rotation translation

Answers

Answer:

B, reflection will be your answer.

Step-by-step explanation:

Congruent triangles have equal measure of corresponding sides and angles.

The single transformation that maps triangle ABC and triangle A'B'C is (b) reflection

From the question, we understand that the triangles are congruent by HL.

HL means hypotenuse legs.

This implies that

The two triangles are right-angled triangleThe length of the hypotenuse of both triangles are equal.

Reflecting either of the triangles would map both triangles.

Hence, the single transformation is reflection

Read more about transformation at:

https://brainly.com/question/15469392

Graph ​y=−4/7x+1​. do this math

Answers

Answer:

Use demos or a graphing calc.

Step-by-step explanation:

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope: −4/7

y-intercept: 1

Find the value of x.

Answers

Answer:

x=11 degrees

Step-by-step explanation:

45+4x+1=90

46+4x=90

4x=44

x=11

Answer
90+45+4x+1= 180 ( supplementary angles )
136 + 4x = 180
4x = 180 - 136
4x = 44
x = 11

what is the solution to this inequality x/10+6≥8

Answers

Answer:

x ≥ 20

Step-by-step explanation:

First, we want to isolate x. We can start to do that by subtracting 6 to both sides.

x/10≥2

Now, we multiply each side by 10.

x ≥ 20

That's the answer, all values above or equal to 20 are solutions.

Answer:

The answer is x_> 20

Step-by-step explanation:

A charity organization is holding a food drive with a goal to collect at least 1,000 cans of food by the end of the month. It currently has 565 cans from donations and is having an event where 87 guests will attend and bring cans. Which solution set represents the number of cans each guest must bring to meet the goal?
A.)
B.)
C.)
D.)

Answers

The answer is 5 in a close dot going --->

Which is D.)

The picture is to show how it looks in Plato.

Answer: D.

Step-by-step explanation:

If they already have 565 cans and 87 will bring cans then we could represent it by the inequality  

87x + 565[tex]\geq[/tex] 1000  where x is the number of cans each guest much bring to meet the goal. so solve for x.

87x  + 565[tex]\geq[/tex] 1000

        -565     -565

87x [tex]\geq[/tex] 435

x [tex]\geq[/tex]  5  

since we now that x is 5  then A  and C can't be answers.

B can't be an answer in this case because 5 is excluded but they actually need at least 1000 bottles so 5 needs to be excluded.

10. Julio is driving to the store. The average distance d, in miles, he travels over t minutes is given by the
function d(t) = 0.5t. What is the value of the function when t = 15?

Answers

Answer:

7.5 miles

Step-by-step explanation:

Given the equation d(t) = 0.5t, all you need to do is plug in the value of t.

They're asking what the Function equals, and they're giving you the value of the variable t.

To solve, write the equation d(15) = 0.5(15)

And if you simplify the right side of the equation, you'll find that

d(15) = 7.5

If t represents time, then you can conclude that Julio travels 7.5 miles in the time t, of 15 minutes.

Which statements are true about the parabola represented by the equation y=−3x^2+18x+23 Select all that apply. 1. The leading coefficient is positive, so the parabola opens up. 2. The leading coefficient is negative, so the parabola opens down. 3. The parabola has a maximum. 4. The parabola has a minimum.

Answers

Answer:

2, 3

Step-by-step explanation:

2. The leading coefficient is -3. When the leading coefficient is negative, the parabola opens down.

3. When the parabola opens down, it has a maximum point, but no minimum point. (when the parabola opens up, it has a minimum, but no maximum)

I hope this helps :)

The right statements about equation y=−3x^2+18x+23 is 2) The leading coefficient is negative and 3) The parabola has a maximum.

What is a parabola?

A parabola is a plane curve which is mirror-symmetrical and can be downward, upward, leftward and rightward shaped.

What are the statements?

Second is true because when the coefficient is negative  the parabola opens down because their values starts decreasing.

Third is true because when the parabola opens down it has a maximum point and no minimum point. On the other hand when the coefficient is positive it opens up.

Learn more about parabola at https://brainly.com/question/4148030

#SPJ2

13, 15, 17, 19,... describe the pattern in the sequence. Find the next three terms

Answers

Answer:

21, 23, 25

Step-by-step explanation:

It adds by x +2 (x being the previous number.)

Answer:

pattern : +2

next three terms : 21, 23, and 25

Which symbol would make the statement TRUE?
4.589 4.958
A. <
B. >
C. =
D. none of the above

Answers

Answer:

A. <

Step-by-step explanation:

The symbol "<" means less than.

Comparing 4.589 with 4.958, 4.958 is greater than 4.589 by 0.369 (4.958 - 4.589).

So therefore, if we are to write 1 statement for both, we would say "4.589 is less than 4.958".

This can be written by using just symbols without words, thus, we have:

4.589 < 4.958.

The correct option is A. <

Three-fifths of the members of the Spanish club are girls. There are a total of 30 girls in the Spanish club.

Which statements can be used to solve for x, the total number of members in the Spanish club? Select three options

Answers

Problem: You do not have an attached picture. Though, I can help you out with this question.

So, three-fifths of the members are girls. There are 30 of girls. We can immediately make an equation using "x".

3/5x=30

3/5x × 5/3=30 × 5/3

x=50

Thus, there are 50 members in total. Though if x is too hard for you, you may substitute it by using another variable.

Variable in here is x.

First Identify the Angle relationship, then solve for x.

Answers

Answer:

x=2

Step-by-step explanation:

46x-2=45x

+2         +2

46x=45x+2

-45x     -45x

x=2

Answer:

I hope you can see the pic

Step-by-step explanation:

(46x - 2) and 45x are opposite angles. Opposite angles are equal to each other so, like terms will he collected and then x is gotten as +2.

PLEASE HELP! Neil has been running a tutoring business since 2005. He charges a monthly fee for weekly tutoring sessions and a phone help line. Each year, he has increased his fee by the same amount. The table shows what Neil charged each customer for two given years of his business: Year Annual Tutoring Fee 2005 $1200 2008 $1350 A. What is the rate of change and initial value for Neil's business? How do you know? B. Write an equation in slope-intercept form to represent the fees that Neil charges each year.

Answers

The rate of change for Neil's business is:

$50

The initial value of Neil's business is:

$1,200 in 2015

We can come to this conclusion because:

There is an increase in the cost every year by $50

With this in mind, we can perform the calculations by incrementing the value of the business by $50 every year, until 2008, from 2005.

The equation in slope-intercept form that represent the fees that Neil charges each year is:

y=50x+b

Read more about slope intercept here:

https://brainly.com/question/1884491

///// PLZZZZZZZZZ HLPPPPPPPPPP MEEEEEEEEEEEEEEEEEE ////// WHAT IS THE SLOPE OF THE BELOW IF NECESSARY ENTER YOUR ANSWER AS A FRACTION IN LOWEST TERMS USING THE SLASH (/) AS THE FRACTION BAR DO NOT ENTER YOUR ANSWER AS A DECIMAL NUMBER OR AN EQUATION.

Answers

Answer:

1/6

Step-by-step explanation:

We have two points so we can use the slope formula

m = (y2-y1)/(x2-x1)

    = (6-3)/(12 - -6)

    = (6-3)/(12+6)

     = 3/18

     =1/6

What is 76.8/100 in grading. For instance is it an A,B,C,D,E etc.

Answers

Answer:

grading

A-1---80% AND ABOVE

A---70% AND ABOVE

SO 76.8/100=A

Step-by-step explanation:

I HOPE IT WILL HELP YOU

Answer:

A

Step-by-step explanation:

A+ = 100-90

A = 89-70

Other Questions
Jill thought she saw a bear in the woods Her heart rate became elevated, her pupils dilated and she ran in the opposite direction before even thinking about it Now that she is safe inside her cabin. Jill's heart rate has slowed her blood pressure has lowered and her pupils have returned to normal. This process of returning to homeostasis is regulated by the _________A. Sympathetic nervous system B. Parasympathetic nervous system C. Somatic nervous system D. Central nervous system In March 2015, Daniela Motor Financing (DMF), offered some securities for sale to the public. Under the terms of the deal, DMF promised to repay the owner of one of these securities $2,000 in March 2040, but investors would receive nothing until then. Investors paid DMF $740 for each of these securities; so they gave up $740 in March 2015, for the promise of a $2,000 payment 25 years later. Required:a. Assuming you purchased the bond for $740, what rate of return would you earn if you held the bond for 25 years until it matured with a value $2,000?b. Suppose under the terms of the bond you could redeem the bond in 2023. DMF agreed to pay an annual interest rate of 1.4 percent until that date. How much would the bond be worth at that time?c. In 2023, instead of cashing in the bond for its then current value, you decide to hold the bond until it matures in 2040. What annual rate of return will you earn over the last 17 years? what can be a result of free trade? You expect to receive annual gifts of $1,000 at the end of Years 1 and 2 and $1,500 at the end of Years 3 and 4. What is the correct present value of multiple annuities formula if the rate is 6 percent? Which graph represents the function (x) = - 21 - 1 European car company advertises that theircar gers 9.4 Kilometers per liter of gasoline. Convertthis figure to miles per galllon !!!HELP!!!A male's ideal weight can be found using the formula, Ideal Weight = 11(h 40)/2 (where h is height in inches). If Sam is 59and weighs 170 lbs., how much weight does he need to gain or lose to reach his ideal weight?A Gain 10.5 lbs.B Lose 9 lbs.C Lose 10.5 lbs.D Gain 9 lbs. Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10 Points $A(-1, -2)$ and $B(3, 2)$ are the endpoints of a diameter of a circle graphed in a coordinate plane. How many square units are in the area of the circle? Express your answer in terms of $\pi$. Read this paragraph from a passage. There are hair cells in the inner ear that are involved in your ability to hear. Excessively loud noise can kill these cells, and the longer youre exposed to the loud noise, the greater the number of cells that are destroyed. The greater the number of cells that are destroyed, the worse your hearing gets. Once those hair cells have died, they stay dead; so your hearing isnt likely to get better in the future. What is the topic sentence of this paragraph? Plllllllllllease heeeeelp Anthony brought an 8 -foot board. He cut off 3/4 of the board to build a shelf and gave 1/3 of the rest to his brother for an art project. How many inches long was the piece Anthony gave to his brother? Ratification of the __________ was delayed until states gave up their claims to western lands, located in the Old Northwest and the Old Southwest. A. Articles of Confederation B. Constitution C. Declaration of Independence D. Bill of Rights Who has delegated power? A company received a bank statement with a balance of $ 6 comma 000.Reconciling items included a bookkeeper error of $ 300long dasha$ 300check recorded as $ 700long dashtwooutstanding checks totaling $ 810,a service charge of $ 21,a deposit in transit of $ 250,and interest revenue of $ 22.What is the adjusted bank balance? Selected financial data regarding current assets and current liabilities for ACME Corporation and Wayne Enterprises, are as follows: ACME Wayne ($ in millions) Corporation Enterprises Current assets: Cash and cash equivalents $ 407 $ 165 Current investments 6 463 Net receivables 706 86 Inventory 10,653 7,409 Other current assets 1,215 135 Total current assets $ 12,987 $ 8,258 Current liabilities: Current debt $ 7,421 $ 4,229 Accounts payable 1,687 941 Other current liabilities 1,193 2,375 Total current liabilities $ 10,301 $ 7,545 Required: 1-a. Calculate the current ratio for ACME Corporation and Wayne Enterprises. (Enter your answers in millions. For example, $5,500,000 should be entered as 5.5.) 1-b. Which company has the better ratio barium chloride (Ba(CIO3)2) breaks down to form barium chloride and oxygen. what is the balanced equation for this equation? 5-star rating n brainiest if answered right Why was Nazi ideology considered totalitarian? It allowed Germans to speak freely about their opinions. It required Germans to support government beliefs. It enabled Germans to vote for candidates from many parties. It encouraged Germans to pursue their own interests first. Megginson, Inc. issued a five-year corporate bond of $300,000 with a 5% interest rate for $290,000. What effect would the bond issuance have on Megginson, Inc.'s accounting equation