(05.02)

Solve the following system of equations: (1 point)

x − 2y = 14
x + 3y = 9

Group of answer choices

(1, 12)

(−1, −12)

(12, −1)

(12, 1)

Answers

Answer 1
(-1,-12) is the correct answer

Related Questions

Question 4 of 10 Based only on the information given in the diagram, it is guaranteed that A ABC - AXYZ. 3 Y Z O A. True B. False​

Answers

Answer: True

Step-by-step explanation:

We know in every triangle all the angles add up to 180 so for triangle ABC if you add the 52 to the 90 you’ll find the answer to be 142 if you subtract this then from 180 you’ll find 38 to be your answer

Therefore if you add the 38 the 52 and the 90 you’ll get 180

Based only on the information given in the diagram, it is guaranteed that Δ ABC ≅ Δ XYZ. It is true that Δ ABC ≅ Δ XYZ. Option A is correct.

What are the conditions of the congruent triangle?

Triangles that are equivalent in terms of size and form are known as congruent triangles.

It is certain that XYZ gave simply the facts in the diagram, traingle ABC, and XYZ is similar. It is true that triangles XYZ and ABC are similar.

The angle of triangles ABC and XYZ is;

∠A= 180° -(90+52) = 38°

∠B= 90°

∠C=38°

∠X=38°

∠Y=90°

∠Z=180° -(90+38°) = 52°

∠B =∠Y=90°

Based only on the information given in the diagram, it is guaranteed that Δ ABC ≅ Δ XYZ. It is true that Δ ABC ≅ Δ XYZ.

Hence, option A is correct.

To learn more about the congruent triangle refer;

https://brainly.com/question/12413243

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Juice is sold in two different sizes. An 18 gl oz bottle costs $1.10. A 36 gl oz bottle costs 2.75. Which is better to buy?

Answers

Answer:

The 18 ounce bottle costs less per ounce and is the better buy

Step-by-step explanation:

First find the cost per ounce for the 18 ounce bottle

1.10 / 18 =.0611111 per ounce

Then find the cost per ounce for the 38 ounce bottle

2.75 / 36 =.076388888

The 18 ounce bottle costs less per ounce

Six teammates are competing for first, second, and third place in a race.

How many possibilities are there for the top three positions?

20
30
120
240

Answers

Step-by-step explanation:

there Are 120 possibilities for the top three positions

We will see that there are 120 different possibilities for the top 3 positions.

How many possibilities are there for the top three positions?

Here we need to count the number of options for each of the positions.

For the first position, there are 6 options (6 team members).For the second position, there are 5 options (because one is already in the first position).For the third position, there are 4 options.

The total number of different combinations is given by the product between the numbers of options, we will get:

C = 6*5*4 = 120

There are 120 different possibilities for the 3 positions.

If you want to learn more about combinations, you can read:

https://brainly.com/question/11732255

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María compra mercancía por valor $2.000.000 la cual tiene una utilidad estimada del 25%, ella desea saber el valor que ganara al vender toda su mercancía ¿Cuál sera el valor que corresponde a las ganancias de maría?

Answers

Answer:

Maria buys merchandise worth $ 2,000,000 which has an estimated profit of 25%, she wants to know the value that she will earn by selling all her merchandise. What will be the value that corresponds to Maria's earnings?

Step-by-step explanation:

2,500,000 $ worth of merchandise

Please help I’ll give brainliest

Answers

Answer:

v = 27,000 mm³

Step-by-step explanation:

v = s³

v = 30³

v = 27,000 mm³

It’s the third option

Question 3 (Multiple Choice Worth 1 points)
(06.05 LC)
The two-way table shows the number of students in a school who like reading and/or gardening.
Like Reading
Do Not Like Reading
Total
Like Gardening
32
?
58
Do Not Like Gardening
19
23
42
Total
51
49
100
What is the missing number in the table?
16
19
26
0
90

Answers

Answer:

26

Step-by-step explanation:

Horizontally:

Like reading = 32

Do not like reading = ?

Total = 58

Total = Like reading + Do not like reading

Do not like reading = Total - Like reading

= 58 - 32

= 26

Do not like reading = 26

Vertically:

Like gardening =

Do not like gardening = 23

Total = 49

Total = Like gardening + Do not like gardening

Like gardening = Total - Do not like gardening

= 49 - 23

= 26

Like gardening = 26

Therefore,

The missing number in the table is 26

can you help me with this. Find the surface area ​

Answers

Answer:

2370 cm²

Step-by-step explanation:

2(32·15+15·15+15·32) = 2370

For the graph of the inequality x - 2y >4, what is a value of x for a point that is on the
boundary line and the axes?
0-2
04
-4
O2

Answers

Answer:

Step-by-step explanation:

Explanation:

First, find two points on the line if you change the inequality to an equation.

For  

x

=

0

:  

0

+

2

y

=

4

2

y

=

4

2

y

2

=

4

2

y

=

2

or  

(

0

,

2

)

For  

y

=

0

:  

x

+

0

=

4

x

=

4

or  

(

4

,

0

)

We can plot these two points and draw a line through them to get the border of the inequality:

graph{(x^2+(y-2)^2-0.075)((x-4)^2+y^2-0.075)(x+2y-4)=0}

The line will be solid because the inequality operator has a "or equal to" clause in it. We can now shade the area to the right of the line because the inequality has a "great than" clause in it.

graph{(x+2y-4)>=0}

Use long division to find the quotient below.
(8x) + 20x2 + 36) divide (2x+6)
A. 4x2 - 6x+6
B. 8x2 - 8x+6
C. 4x2 - 2x+6
D. 8x2 - 4x + 6

Answers

Given:

[tex]8x^3+20x^2+36[/tex] divided by [tex](2x+6)[/tex].

To find:

The quotient by using long division method.

Solution:

We have,

Dividend = [tex]8x^3+20x^2+36[/tex]

Divisor = [tex](2x+6)[/tex]

Using long division method we get

[tex]\underline{2x+6}|\overline{8x^3+20x^2+0x+36}|\underline{4x^2-2x+6}[/tex]

          [tex]\underline{8x^3+24x^2}[/tex]

                   [tex]-4x^2+0x[/tex]                                 (After subtraction)

                  [tex]\underline{-4x^2-12x}[/tex]

                             [tex]12x+36[/tex]                          (After subtraction)

                             [tex]\underline{12x+36}[/tex]

                                [tex]\underline{\quad 0\quad }[/tex]                           (After subtraction)

The quotient is [tex]4x^2-2x+6[/tex].

Therefore, the correct option is C.

Please answer correctly to get brainliest

Answers

Answer:

Step-by-step explanation:

This is only my guess, as I haven’t done this topic in a few months

A. 398/427

0.93

B. 123/1192

0.10

C. 339/403

0.84

Find the slope of the line through the points(-4,-7) and (4,3)

Answers

Answer:

4/5

Step-by-step explanation:

The first point (-4, -7) lies in the third quadrant and the second one in the first quadrant.  This tells us immediately that the slope is positive; y increases as x increases.  The change in x is 4 - (-4), or 8; this is the 'run.'  The change in y  is 3 - (-7), or 10; this is the 'rise.'

Thus the slope of this line is m = rise/run = m = 8/10, or m = 4/5

Last year, 260 students went to the senior prom at M&T Bank Stadium. This year, the number of students who attended senior prom increased by 9%. How many students attend the senior prom at M&T Bank Stadium this year? Round you answer to the nearest whole number. ​

Answers

Answer:

283 people went this year to the stadium.

Step-by-step explanation:

Let's put this data into pieces so it's less overwhelming.

Last year 260 students went to the prom.

Currently the number of students who attended has increased by 9% from last year.

And the question is asking how many students attended this year?

Well, if this is increasing by 9%, wouldn't we just find 9% of 260 then add it to 260?

0.09 * 260 = 23.4

260 + 23.4 = 283.40. Obviously we can't have 40% of a human being, so let's round it to 283.

please help to add this exponent:)

Question:
[tex](3.09 \times {10}^{6} ) + (5.83 \times {10}^{8} )[/tex]

Answers

Answer:

[tex]5.8609 \times {10}^{8} [/tex]

Step-by-step explanation:

[tex](3.09 \times 10^6)+(5.83 \times 10^8)[/tex]

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

[tex]5.8609 \times {10}^{8} [/tex]

Hope it is helpful...

. A man travels 13km by bus , 8km by car and y km by train . If the man has to travel a total of 30 km , find y. *

Answers

Answer:

9km

Step-by-step explanation:

30-(13+8)=9km

I hope you understand

Don’t need to send the math or anything just need the answer will give brainliest!!!

Answers

Answer:

920

Hope that this helps!

A new bank customer with ​$3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.8​%. How much interest will the customer earn in 10 years? b. What will the account balance be after 10 years?

Answers

Answer: See explanation

Step-by-step explanation:

The Simple Interest will be calculated as:

= P × R × T

= $3000 × 1.8% × 10.

= $3000 × 0.018 × 10

= $540

The interest that the customer earn in 10 years is $540.

Then, the account balance after 10 years will be:

= Principal + Interest

= $3000 + $540

= $3540

Therefore, the account balance will be $3540

Please help me I’ll mark as brainliest.

Answers

Answer:

Step-by-step explanation:

6x² + 108x + 707  = 5

Subtract 707 from both sides

6x² + 108x = 5 - 707

6x² + 108x = - 705

Divide the whole equation by 6

[tex]\frac{6x^{2}}{6}+\frac{108x}{6}= \frac{-702}{6}\\\\x^{2}+ 18x = - 117\\[/tex]

Divide 18 by 2 = 9

Add 9² to both sides

x² + 18x + 9² = -117 + 9²

x² + 18x  + 81 = -117 + 81

(x + 9)² = - 36

Answer:

(x + 9)^2 = -36

Step-by-step explanation:

6x^2 + 108x + 707 = 5

6x^2 + 108x = -702

x^2 + 18x = -117

x^2 + 18x + (18/2)^2 = -117 + (18/2)^2

x^2 + 18x + 81 = -117 + 81

(x + 9)^2 = -36

Can someone work please so I can understand how

Answers

Answer:

[tex]\text{A. }\frac{4\sqrt{14}}{{7}}[/tex]

Step-by-step explanation:

In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side. Therefore, we can form a right triangle with non-right angle [tex]\theta[/tex] and its opposite side [tex]\sqrt{7}[/tex] and its adjacent side [tex]5[/tex].

By definition, [tex]\csc \theta=\frac{1}{\sin\theta}[/tex].

In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle. To find the hypotenuse, use the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or longest side, of the right triangle and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle.

Solving, we get:

[tex]5^2+\sqrt{7}^2=c^2,\\25+7=c^2,\\c^2=32,\\c=\sqrt{32}=4\sqrt{2}[/tex]

Therefore, we have:

[tex]\csc \theta = \frac{1}{\sin \theta}=\frac{1}{\frac{\sqrt{7}}{4\sqrt{2}}},\\\\\csc \theta=1\cdot \frac{4\sqrt{2}}{\sqrt{7}},\\\\\csc \theta =\frac{4\sqrt{2}}{\sqrt{7}}\cdot \frac{\sqrt{7}}{\sqrt{7}}=\boxed{\text{A. }\frac{4\sqrt{14}}{{7}}}[/tex]

Answer: Choice A)   [tex]\frac{4\sqrt{14}}{7}[/tex]

======================================================

Explanation:

Refer to the figure below. We start off drawing a right triangle that has opposite side sqrt(7) and adjacent side 5.

This is because tan = opposite/adjacent.

Use the pythagorean theorem to find the hypotenuse is sqrt(32) which simplifies like so

sqrt(32) = sqrt(16*2) = sqrt(16)*sqrt(2) = 4*sqrt(2)

The last thing to do is to take the ratio of the hypotenuse over the opposite side. Recall that csc, aka cosecant, is the reciprocal of sine.

sin = opposite/hypotenuse

csc = hypotenuse/opposite

---------

So we get the following

[tex]\csc{\theta} = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc{\theta} = \frac{4\sqrt{2}}{\sqrt{7}}\\\\\csc{\theta} = \frac{4\sqrt{2}*\sqrt{7}}{\sqrt{7}*\sqrt{7}}\\\\\csc{\theta} = \frac{4\sqrt{2*7}}{\sqrt{7*7}}\\\\\csc{\theta} = \frac{4\sqrt{14}}{\sqrt{49}}\\\\\csc{\theta} = \frac{4\sqrt{14}}{7}\\\\[/tex]

So that's why the answer is choice A.

I need help with this question
v2–2v–24

Answers

Answer:

(v - 6)(v + 4)

Step-by-step explanation:

v² - 2v - 24

v² + 4v - 6v - 24

v(v + 4) - 6(v + 4)

(v - 6)(v + 4)

Joe bought a cylindrical water tank for his garden, but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for it to sit on. The seller told him the Volume and the height, calculate the diameter of the tank using the information below. The volume of the tank is 300π 〖ft〗^3 and its height is 10ft.

Answers

Answer:

1.7ft

Step-by-step explanation:

Given data

Volume of tank=  300π 〖ft〗^3

Height of tank= 10ft

The expression for the volume of a cylinder is given as

Volume= πr^2h

Substitute

300π = π *r^2*10

300= r^2*100

3= r^2

r= √3

r= 1.7 ft

Hence the radius of the cylinder is 1.7ft

Please help!!! I don’t know how to do this

Answers

Answer:

O C. x = 3

Step-by-step explanation:

If a line is parallel to y-axis, the equation of the line is x = constant because it is at a constant distance from y-axis. so for the given question, x = 3 is the equation of the line passing through (3,2).

find the value of x, y, v and w​

Answers

Now,

x + 35° = 180° ( Co - interior angle )

x = 145°

Then,

y = x = 145° ( Vertically Opposite angle )

Again,

v + 43° = 180° ( Co - interior angle )

v = 137°

Then,

v + w = 180° (Co - interior angle )

137° + w = 180°

w = 180° - 137°

w = 43°

I hope it's help you...

Mark me as brainliest...

1. Jennifer bought 4 1/2 pounds of hamburger for $22.50.
What was the cost per pound?

Answers

Answer:

.20$

Step-by-step explanation:

4 1/2=4.5

4.5 divided by 22.50=.20

Answer: Jennifer bought 4 1/2 pounds of hamburger for $22.50.

What was the cost per pound?

.20cents

which system of equations has infinitely many solutions?

a. 4x+2y=5 -4x-2y=1
b. -10x+y=4 10x-y=4
c. -8x+y=2 8x-y=0
d. -x+2y=6 7x-2y=12

Answers

Answer:

None, each of the four given system of equations have only one solution

Step-by-step explanation:

A system of equations have infinitely many solutions, when the equations represent the same line and therefore, the two equations are the same;

Each of the options are examined as follows;

a. 4·x + 2·y = 5...(1)

-4·x - 2·y = 1...(2)

Expressing both equations with y as the subject, we have;

The value of y in equation (1) is given as follows;

4·x + 2·y = 5

2·y = 5 - 4·x

∴ y = 5/2 - 2·x

The value of y in equation (2) is given as follows;

-4·x - 2·y = 1

-2·y = 1 + 4·x

∴ y = -1/2 - 2·x

Therefore, equation (1) and equation (2) represent the same equation and are therefore equal and have only one solution

b. -10·x + y = 4...(1)

10·x - y = 4...(2)

Therefore, we have;

Adding equation (1) to equation (2) gives;

-10·x + 10·x + y - y = 4 + 4

0 + 0 = 8

0 = 8

Given that 0 ≠ 8, equation (1) is not equal to equation (2) and the two equations have only one solution

c. -8·x + y = 2...(1)

8·x - y = 0...(2)

By examination, the values on the left hand side, LHS, of both equations are the same magnitude but opposite in sign, while the right hand side, RHS, of both equations, have different magnitude

Therefore, the two equations are different and have only one solution

d. -x + 2·y = 6...(1)

7·x - 2·y = 12...(2)

Making y the subject of both equations gives;

Equation (1)

2·y = 6 + x

y = 3 + x/2

Equation (2)

2·y = 12 - 7·x

y = 6 - 3.5·x

Therefore, the two equations are different and have only one solution

Answer:

B

Step-by-step explanation:

I'm guessing the answer is B. I know why the other person said all of them only have one solution. But, On b You wrote -10x+y=4  10x-y=4

When really it was supposed to be -10x+y=4  10x-y=-4

I will give BRAINLIEST to the correct answer
Find the measure of angle 6.

Answers

Answer:

m∠6 = 116°

Step-by-step explanation:

first find x:

7x - 17 = 2x + 78

subtract 2x from both sides: 5x - 17 = 78

add 17 to both sides: 5x = 95

divide by 5: x = 19

plug x into 7x - 17

7(19) - 17 = 116

∠6 and 7x - 17 are vertical angles and therefore congruent, so m∠6 also = 116°

A farmhouse shelters 10 animals. Some are pigs and some are chickens. Altogether there are 30 legs. How many of each animal are there? PLSS HELP!!

Answers

Answer:

theres 5 pigs and 5 chickens

Step-by-step explanation:

5 pigs 4 legs 5x4=20

5 chickens and 2 legs 5x2=10

20+10=30

Express 120 as the product of its prime factors.
Write the prime factors in ascending order.

Answers

Answer:

2 x 2 x 2 x 3 x 5

Step-by-step explanation:

The first and smallest prime number that can be divisible by 120 is 2; 120/2 = 60, 60/2 = 30, 30/2 = 15; and the smallest prime number divisible by 15 is 3; 15/3 = 5; and the smallest prime number divisible by 5 is 5; 5/5 = 1.

hence, we have 2 x 2 x 2 x 3 x 5 = 2³ x 3 x 5

Find the surface area of a cylinder with a height of 10 inches and base diameter of 6 inches.
______ square inches​

Answers

244.92 is the surface area

Answer:

The surface area of cylinder is 244.92 inches²

hope it helps

have a nice day

The work in an office takes 150 hours to complete every week. Each person in the office works for 32 hours a week

Answers

what’s the question? you’re just stating that the work takes 150 hours to complete every week and that each person works 32 hours a week.

John has 12 tissues, but they caught on fire, because his older brothers a pyromaniac.
So John has to eat his boogers. He has to do it precisely, without accidentally scratching his nose and bleeding, so he has to go slow.
How long does it take for him to eat his boogers? Sometimes, he has a friend join him, and they eat their own boogers in each others presence. How long would that take?

A. 12 minutes.
B. 20 Minutes for each person.
C. An Hour.
D All day.

Answers

Answer:

Dude wt,f? The answer is B. Obviously.

Step-by-step explanation:

COMMON SENSE

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