Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
6x+2y = 8
12x + y = 22
O A. (-1,1)
O B. (4,-4)
O C. (2,-2)
O D. (-3,3)

Answer:

B∠119°

Step-by-step explanation:

Well first we need c.

And c + 112 = 180

So -112 is c = 68

68 + 51 + a = 180

68+51 = 119 + a = 180

a = 61

b + 61 = 180

b = 119

Answer:

x = 10

Step-by-step explanation:

A parallelogram's angles should all add up to 360 degrees. 130+130 is equal to 260 degrees. 360-260 is equal to 100. Because we need to find the individual angles of Angle A and Angle C, we will divide 100 by two. That leaves us with 50 degrees for Angle A and Angle C EACH. We know Angle C is equal to 5x. So, we would divide 50 by 5, which leaves us with 10 degrees. Therefore, x = 10.

The largest x that satisfies

[tex]3x^2+17x+15=5[/tex]

is the largest solution to

[tex]3x^2+17x+10=0[/tex]

We have

[tex]3x^2+17x+10=(3x+2)(x+5)=0[/tex]

[tex]\implies x=-\dfrac23\text{ or }x=-5[/tex]

and so the largest value of x we want is -2/3.

Answer:

Start with the parent function y=1/x^2

Add 3 to x in the denominator, because the graph is shifted left 3.

Add 1 to the fraction, because the graph is shifted up 1 unit

Step-by-step explanation:It is the answer 100% on assignment

Answer:

1/3

Step-by-step explanation:

Only 20% / 60% = 1/3 of the foreign language students take technology as well, therefore the probability would be 1/3.

Answer:

Step-by-step explanation:

Given,

Cost price ( CP ) = 12

Selling price ( SP ) = 15

Since, CP < SP , she made a profit

Actual profit = SP - CP

plug the values

[tex] = 15 - 12[/tex]

Subtract the numbers

[tex] = 3[/tex]

Profit = 3

Now,

Profit percent = [tex] \frac{actual \: profit}{cost \: price} \times 100[/tex] %

Plug the values

[tex] = \frac{3}{12} \times 100[/tex] %

Calculate

[tex] = 25[/tex] %

Hope this helps...

Best regards!!

Answer:

25%

Step-by-step explanation:

Cost Price: ₦12

Selling Price: ₦15

Profit: ₦15 - ₦12 = ₦3

Profit Percentage = [tex]\frac{profit}{cost price}[/tex]  ×  [tex]\frac{100}{1}[/tex]

Profit Percentage = [tex]\frac{3}{12}[/tex] × [tex]\frac{100}{1}[/tex]

Profit Percentage = [tex]\frac{1}{4}[/tex] × [tex]\frac{100}{1}[/tex] = 25%

Final Answer = 25%

Answer:

Step-by-step explanation:

The length is 3 × width.

l = 3w

The perimeter is 24 centimeters.

P = 2l + 2w

24 = 2(3w) + 2w

24 = 6w + 2w

24 = 8w

3 = w

The width is 3 centimeters.

l = 3(3)

l = 9

The length is 9 centimeters.

Area is l × w.

A = l × w

A = 9 × 3

A = 27

The area is 27 squared centimeters.

Answer:

27

Width= x

Length= x × 3 =3x

so, 3x+3x+x+x=24

8x=24

x=24/8

x=3

so, length=3(3)=9

width=3

therefore,

Area=9×3

=27

Answer:

y = (x - 2)²

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, 0) , thus

y = a(x - 2)² + 0

To find a substitute the y- intercept (0, 4) into the equation

4 = a(- 2)² = 4a ( divide both sides by 4 )

a = 1

y = (x - 2)² ← equation of parabola in vertex form

Answer:

A. 25°

Hope it helped

Answer:

A

Step-by-step explanation:

If you play around with each of the answers, you'll find that 13*10=130 (where $13 is the cost of each of 10 senior tickets) plus 5*8=40 (where $5 is the cost of each of 8 child tickets) equals $170.

Hope this helps!! <3

The price of a senior citizen and child ticket is required.

The correct option is A) senior citizen ticket: $13, child ticket: $5

Let [tex]x[/tex] be the price of senior citizen ticket

[tex]y[/tex] be the price of child ticket

The equations will be

[tex]10x+8y=170[/tex]

[tex]10x+11y=185[/tex]

Subtracting the equations

[tex]-3y=-15\\\Rightarrow y=\dfrac{-15}{-3}\\\Rightarrow y=5[/tex]

Finding [tex]x[/tex]

[tex]10x+8y=170\\\Rightarrow x=\dfrac{170-8y}{10}=\dfrac{170-8\times 5}{10}\\\Rightarrow x=13[/tex]

Learn more about system of linear equations:

https://brainly.com/question/14323743

I'm assuming your teacher wants you to distribute. If so, then you multiply the outer term 8 by each term inside (3a and 5). After that you add.

8 times 3a = 24a

8 times 5 = 40

So 8(3a+5) becomes 24a+40

We do not combine 24a and 40 as they are not like terms. So we leave 24a+40 as it is.

Answer:

72 inch²

Step-by-step explanation:

Rectangular classroom

Length=36ft

Width=32ft

scale drawing length = 9 inches

Scale drawing width=x

Ratio of the length to the scale drawing length = 36/9

Ratio of the width to the scale drawing width=32/x

To find x

36/9=32/x

Cross product

36x=32*9

x=288/36

=8

x=8

Area of a rectangle= length × width

Length=9 inches

Width=8 inches

Area of the rectangular classroom= 9 inches × 8 inches

=72 inch²

Answer:

Option (D) is the correct option.

Step-by-step explanation:

Let the equation of a line which passes through (x', y') and slope 'm' is,

y - y' = m(x - x')

If this line passes through a point (-6, -5) and slope 'm' = 6

Equation of the line will be,

y -(-5) = 6[x - (-6)]

y + 5 = 6(x + 6)

Therefore, equation the line will be y + 5 = 6(x + 6).

Option (D) will be the answer.

Answer:

I hope it will surely help uh.....

Answer:

sqrt of 7

Step-by-step explanation:

Answer:

73 degrees

Step-by-step explanation:

Given

A Shaped Frame of two congruent sides

Required

Determine the angle made with the ground

Given that there are two congruent sides, this implies that the A frame is an isosceles triangle;

Let the two angles made with the ground be represented by x

Angles in a triangle when added equals 180;

Hence;

[tex]x + x + 34 = 180[/tex]

[tex]2x + 34 = 180[/tex]

Subtract 34 from both sides

[tex]2x + 34 - 34 = 180 - 34[/tex]

[tex]2x = 180 - 34[/tex]

[tex]2x = 146[/tex]

Divide both sides by 2

[tex]\frac{2x}{2} = \frac{146}{2}[/tex]

[tex]x = \frac{146}{2}[/tex]

[tex]x = 73[/tex]

Hence, the angle with the ground is 73 degrees

Answer:

$8

Step-by-step explanation:

It says P = per ball (which will be a number, n, for balls times the fixed price) plus a set entrance fee. So we find that the price per ball is $0.80, so 10 balls cost $8.

Answer:

$8

Step-by-step explanation:

Answer:

y = -2x + 5

Step-by-step explanation:

You use the equation y = mx + b, where m is the slope and b is the y-intercept. We see that the line hits the y-axis at 5, so that will be your b. To find the slope, use [tex]\frac{rise}{run}[/tex]. You have to go down 4 and right 2, so your slope will be [tex]-\frac{4}{2}[/tex] which simplifies to -2. Hope this helps!

Answer: y=2/-5x+5

Step-by-step explanation:

Answer:

[tex]x + 0.05x = 15[/tex], solution is $14.29

Step-by-step explanation:

We can create an equation for this scenario to try and solve it.

Assuming the cost of the CD is x, it’s sale tax will be 0.05x (as that is 5% of x, 0.05.)

We can write the equation in two ways:

[tex]x + 0.05x = 15[/tex] or [tex]1.05x = 15[/tex].

Assuming we take the second one (easier to work with), we can divide both sides by 1.05. The equation simplifies to x = 14.289... which rounds to x = 14.29.

Therefore, the equation is [tex]x + 0.05x = 15[/tex] and the solution is $14.29.

Hope this helped!

Answer:

x + 0.05x = 15; x = $14.29

Step-by-step explanation:

Answer:

y + 8 = -5(x - 4).

Step-by-step explanation:

In this case, y1 = -8, x1 = 4, and m = -5.

y - (-8) = -5(x - 4)

y + 8 = -5(x - 4).

Hope this helps!

Answer: She had 60% of the money left

Step-by-step explanation:

240/600=0.4

0.4 = 40%

100%-40%=60%

Answer:

60%

Step-by-step explanation:

LETS MAKE IT INTO A FRACTION

FIRST LETS CALCULATE HOW MUCH SHE SPENT

=240/600

WE CAN SIMPLIFY BY DIVIDING THE EQUATION BY 10

=24/60

LETS DIVIDE BY 6

=4/10

DIVIDE BY 2

=2/5

NOW LETS CALCULATE HOW MUCH SHE HAS LEFT

THE EASIEST WAY IS TO SUBTRACT

5/5-2/5=3/5

3/5 IS ALSO EQUAL TO 60/100

SO KAREN HAS 60% OF HER MONEY LEFT

HOPE I HELPED

PLS MARK BRAINLIST

(DESPERATELY TRYING TO LEVEL UP)

        ✌

Answer:

126 cm³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Al ( A is the cross sectional area and l the length ), thus

V = 21 × 6

   = 126 cm³

Answer:

Pretty Simple!

Step-by-step explanation:

So, according to similar triangles, all the measures of their corresponding angles are equal.

According to the picture, <A corresponds to <D. Thus:

m<D=32 degrees

Hope this helps!

Answer:

C. 32°  

Step-by-step explanation:

If two triangles are similar, their corresponding angles must be equal.

∠D corresponds to ∠A, so

  ∠D = ∠A

  ∠A = 32°

∴ ∠D = 32°

Answer:

I'd cross multiply to solve this equation.

Step-by-step explanation:

Since we have a fraction where we're finding a ratio:

[tex]\frac{3}{x} = \frac{6}{14}[/tex],

I'd find it easiest to cross multiply. This is because we are finding an equivalent to a ratio, so cross multiplication works best here.

Let's solve it.

[tex]14\cdot 3 = 42\\42\div6=7[/tex]

x = 7

Hope this helped!

Answer:

115

Step-by-step explanation:

It adds 3 every time and starts with -38. Our equation is:

a52 = -38+3(52-1);

a52 = -38 + 153

a52 = 115

Answer:

115

Step-by-step explanation:

→ First we need to work out the nth term. First we find the difference between each term

-38, -35, -32, -29... ⇔ +3

→ We know the first bit is 3n now we have to find the other section. We need to write the 3 times tables on top of each corresponding term

3 ,   6   ,  9  , 12

-38, -35, -32, -29...

→ We can see the to get from 3 to -38 we minus 41. So the nth term is

3n - 41

→ Now we substitute in 52 for n

3 × 52 - 41

→ Simplify

115

Answer:

6n or 6 x n

Step-by-step explanation:

Answer:

a^5.

Step-by-step explanation:

a^12 / a^7 = a^(12 - 7) = a^5.

Hope this helps!

Answer:

Step-by-step explanation:

A = {2,8,10,14}

B= {6,8,20}

C={8,18,20,24}

A ∩ B --> intersection means elements that  are in both sets A & B

A ∩ B = {8}

A∩ C =  {8}

B ∩ C = {8 , 20}

A∩B ∩ C = {8}

First blue box = { 2,10, 14}

Second blue box = {18, 24}

First green box = { 8}

Second green box = { 20}

b) A ∩ B = {8}

n [ A ∩ B] = 1

Probability of the number to be a member of A∩B =  1 / 25

Answer:

The correct options are;

g(x) = -0.27·x² + x  + 5

h(x) = 2·㏒(x + 1) + 5

Step-by-step explanation:

To answer the question, we substitute x = 1.9 seconds into the given options as follows;

1) For f(x) = √(1.6·x) + 5

When x = 1.9 seconds, we have;

y = f(1.9) = √(1.6×1.9) + 5 = 6.74 which is not equal to the given height of 5.9 meters

Therefore, f(x) = √(1.6·x) + 5 does not model the height of the drone y as a function of time, x

2) For g(x) = -0.27·x² + x  + 5

When x = 1.9 seconds, we have;

y = g(1.9) = -0.27×1.9^2 + 1.9  + 5 = 5.93 meters, which is approximately 5.9 meters to one place of decimal

Therefore, the function, g(x) = -0.27·x² + x  + 5,  approximately models the height of the drone y as a function of time, x

3) For h(x) = 2·㏒(x + 1) + 5

When x = 1.9 seconds, we have;

y = h(1.9) = 2·log(1.9 + 1) + 5 = 5.92 meters,

The function, h(x) = 2·㏒(x + 1) + 5,  approximately models the height of the drone y as a function of time, x

4) For j(x) = -∛(-1.4·x - 1) + 5

When x = 1.9 seconds, we have;

y = j(1.9) = -∛(-1.4×1.9 - 1) + 5 = 6.54 meters

The function j(x) = -∛(-1.4·x - 1) + 5 does not model the height of the drone y as a function of time, x

5) For k(x) = -1.2·x³ + 2.6·x² - 0.5·x + 5

When x = 1.9 seconds, we have;

y = k(1.9) = -1.2×1.9^3 + 2.6×1.9^2 - 0.5×1.9 + 5 = 5.21 meters

Therefore, the function, k(x) = -1.2·x³ + 2.6·x² - 0.5·x + 5, does not model the height of the drone y as a function of time, x

Answer:

The answer is option D.

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

Equation of a line from given a Slope and a point is

y - y1 = m(x - x1)

Where ( x1 , y1) is the point

Equation of the line using point (-6 , -5) and slope 6 is

Hope this helps you