which system of linear equations can be solved using the information below?​

Answer:

One sister gets 12 and the other gets 16

Step-by-step explanation:

Sister A : sister B: total

3                 4            3+4 =7

Take the total amount and divide by 7

28/7 = 4

Multiply each side by 4

Sister A : sister B: total

3 *4          4*4           7*4

12               16           28

Answer:

4.3 cm

Step-by-step explanation:

By the theorem of intersecting secants outside of a circle.

[tex]3 \times (y + 3) = 2 \times (2 + 6 + 3) \\ 3(y + 3) = 2 \times 11 \\ 3y + 9 = 22 \\ 3y = 22 - 9 \\ 3y = 13 \\ y = \frac{13}{3} \\ y = 4.3 \: cm[/tex]

Answer:

17

Step-by-step explanation:

A standard die has a 1/6 chance of rolling a 6.

Over 100 rolls, a 6 is likely rolled (1/6)*100 times.

100/6=16.66, approximately 17 times

Answer:

Correct option: First one -> [tex]x^2 = -12y[/tex]

Step-by-step explanation:

The focus and the vertex have the same x-coordinate, so we have a vertical parabola. The standard equation for this parabola is:

[tex]y = a(x-h)^2 + k[/tex]

If the vertex is at the origin, we have that:

[tex](h, k) = (0,0)\\h = 0, k = 0[/tex]

If the focus is at (0,-3), we have that:

[tex](h, k+p) = (0, -3)[/tex]

[tex]p = 1/4a[/tex]

[tex]k + p = -3[/tex]

[tex]1/4a = -3[/tex]

[tex]a = -1/12[/tex]

So we equation of the parabola is:

[tex]y = -x^2/12[/tex]

[tex]x^2 = -12y[/tex]

Correct option: First one

Answer:

gradient = 4

Step-by-step explanation:

Calculate the gradient using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 14)

m = [tex]\frac{14-2}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4

Answer:

both of the solution is B and C

Answer:h=f(X)-x-k

Step-by-step explanation:

F(x)=x+ h+k

h = F(x)-x -k

Answer:

-1.5

Step-by-step explanation:

A) 210

B) 0.18

A) On Monday, 7/25 of the 750 are orange cakes. 7/25 x 750 = 210

B) If the proportion of orange cakes is 5/25 where 5 is correct to the nearest whole number, then the 4.5 would be the lowest number that would still be rounded up to 5. 4.5/25 = 0.18

Answer: idk man

Step-by-step explanation: rg

Answer:iidk

Step-by-step explanation:

Answer:

" Expected Payoff " ⇒ $ 1.80 ; Type in 1.80

Step-by-step explanation:

Take the probability of winning into consideration;

[tex]Total Number of Tickets - 500,\\Tickets 1 Person Can Enter - 1 Ticket,\\\\Probability of Winning - 1 / 500,\\Money Won - 900 Dollars,\\\\Proportionality - 1 / 500 = x / 900 - where, x = " Expected Payoff "\\1 / 500 = x / 900 - CrossMultiplication,\\\\500 * x = 900,\\x = 900 / 500,\\x = 1.80 Dollars Won!\\\\Conclusion ; x = 1.80 Dollars[/tex]

Solution ; " Expected Payoff " ⇒ $ 1.80

____________________________

Solution,

Total population:2800000

Total population of males in percent=45%

total population of females in percent=100%-45%=55%

Total number of females= 55% of 2800000

=1540000

Hope it helps..

Good luck on your assignment

____________________________

Answer:

I think the commission amount is $210

Answer:

Step-by-step explanation:

You can observe the figure in the image attached.

Notice that angle AOE is 90°, that is, it's a right angle. (The little red square indicates its perpendicularity).

Now, the adjacent and congruent angle to AOE is angle EOC, because they are on a straight angle, they are supplementary angles and also adjacent angles.

Answer:

x= (y+40)-(y-330)

Step-by-step explanation:

According to the information provided, the difference in their scores would be the result of subtracting Austin's SAT score from Alexandra's SAT score.

Then, as Alexandra's SAT score was 40 points above the average score this means that you have to add 40 to the average score to get her result. Also, as Austin's SAT score was 330 points below the average score, this means that you have to subtract 330 from the average score. With this you can write the expression:

x= difference in their scores

y= average score

x= (y+40)-(y-330)

Answer: x = 4

Step-by-step explanation:

You basically want to solve for the angle A. Do arcsin of 1/3, which is approximately 19.47 degrees. In this triangle, we are missing the adjacent and opposite, but we do have the angle luckily. Lets use SOH-CAH-TOA.

[tex]sin(theta) = \frac{opposite}{hypotenuse}[/tex]

We can see here that doing sine will give us the length of the opposite

[tex]sin19.47 = \frac{x}{12}[/tex]. Do sine of 19.47, then multiply by 12. I got 4

Answer:

y-intercept is 3

Step-by-step explanation:

This equation is a linear equation [tex]y=mx+b[/tex].

m is the slope.

b is the y-intercept.

[tex]y=mx+b[/tex] is the same as [tex]y=7x+3[/tex]

7 would be the slope.

3 would be the y-intercept.

Answer:

Step-by-step explanation:

Slope of a line is defined as the change in the component of the y- axis to its x axis as shown;

slope = Δy/Δx = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the graph, y2 = 0, y1 = 4000, x2 = 10, x1 = 0

slope = [tex]\frac{0-4000}{10-0}[/tex]

[tex]slope = \frac{-4000}{10}\\ slope = -400[/tex]

The slope of the line is a negative slope and it is -400

Answer: A. -400

Step-by-step explanation:

just had this and got in correct

Answer:

The equation for the following graph:

[tex]y = -\frac{1}{5}x[/tex]

Step-by-step explanation:

- You first need to find the slope by using the slope formula:

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

(where [tex](x_{1},y_{1})[/tex] is the first point and [tex](x_{2}, y_{2})[/tex] is the second point)

-Use the given points [tex](0,0)[/tex] and [tex](10, -2)[/tex] from the graph for the formula:

[tex]m = \frac{-2 - 0}{10 - 0}[/tex]

Then, you solve:

[tex]m = \frac{-2 - 0}{10 - 0}[/tex]

[tex]m = -\frac{1}{5}[/tex]

After you have found the slope, use the slope [tex]-\frac{1}{5}[/tex] and the first point [tex](0,0)[/tex] for the point-slope formula:

[tex]y - y_{1} = m ( x - x_{1})[/tex]

(where [tex]m[/tex] is the slope and [tex](x_{1}, y_{1})[/tex] is the first point)

[tex]y - 0 = -\frac{1}{5} ( x - 0)[/tex]

Then, you solve:

[tex]y - 0 = -\frac{1}{5} ( x - 0)[/tex]

[tex]y - 0 = -\frac{1}{5}x - 0[/tex]

[tex]y - 0 + 0 = -\frac{1}{5} - 0 + 0[/tex]

[tex]y = -\frac{1}{5}x[/tex]

So, the equation for the following graph is [tex]y = -\frac{1}{5}x[/tex] .

I would use a graphing tool like desmos or geogebra, or a texas instruments graphing calculator, there a number of tools out there. The first two options are free online tools. Using technology to graph is much preferred over doing it by hand.

If you must do it by hand, then the idea is to plug in various values of x to get corresponding values of y. For instance, if x = 7, then

y = sqrt(x-3)

y = sqrt(7-3)

y = sqrt(4)

y = 2

So the point (x,y) = (7,2) is on this curve. Repeat for other x values to get more points. Then plot the points all on the same xy grid. Lastly, draw a curve through those points. The more points you have, the more accurate the graph. Use graphing technology to help confirm you have the right graph.

As for the question of one-to-one, you are looking to see if the horizontal line test fails or not. After fully graphing y = sqrt(x-3), try to construct a single horizontal line that will pass through more than one point on the curve. You'll find that such a task is not possible in this case; therefore, this graph passes the horizontal line test and consequently the graph is one-to-one.

An example where a graph is not one-to-one would be a parabola. It is possible to pass a single horizontal line through more than one point on a parabola.

Answer:

the answer is ​

x=±3,±√​2

​

​​ ı

Step-by-step explanation:

(x​^2−9)(x​2+2)=0

Answer:

4

Step-by-step explanation:

The 25ft by 20ft court needs to be covered.

First consider half of the court, meaning 25ft by 10ft.

To cover 25ft by 10ft you can easily place two 13ft by 10ft covers next to each other = 26 ft by 10ft

There is a 1ft overlap, but that seems reasonably acceptable.

If you do the same for the other half, then you will have covered the entire court from the rain.

So in total you need 4 plastic 13ft by 10ft covers, to cover the 25ft by 20ft cord from the rain.

This indicates that the officials will need at least 2 covers of 13ft by 10 ft to cover the court

Data;

Assuming the court is a rectangle from its given dimensions, we can proceed by dividing the dimension of the court by the dimension of the cover

[tex]25ft by 20 ft / 13ft by 10 ft = 2[/tex]

This would give us a value approximately 2.

This indicates that the officials will need at least 2 covers of 13ft by 10 ft to cover the court.

Learn more on area of a rectangle here;

https://brainly.com/question/25292087

Hi! So we have to use the Order of Operations, aka PEMDAS so it's:

Parentheses

Exponents

Multiplication/Division

Addtion/Subtraction

Exponent comes first so we'll deal with that. 10^-5=0.00001

And then 7*0.00001=0.00007

Answer:

x =9

Step-by-step explanation:

2x - 4(4x - 8) = -94

Distribute

2x - 16x +32 = -94

Combine terms

-14x +32 = -94

Subtract 32 from each side

-14x+32-32 = -94-32

-14x =-126

Divide each side by 14

-14x/-14 = -126/-14

x =9

Answer:

9

Step-by-step explanation:

Answer:

y = 1/4x

Step-by-step explanation:

First find the slope

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

    = (2-1)/(8-4)

    = 1/4

The slope intercept form of a line is

y = mx+b

where m is the slope and b is the y intercept

y = 1/4x +b

Substitute a point into the equation

1 = 1/4(4) +b

1 = 1+b

b= 0

y = 1/4x

Step-by-step explanation and answers:

300 articles at a total cost of $1500:

        $1500 / 300 = $5 / article

Sells 260 articles at a price 20% above this ^ price:

         20% of $5 is $1,   so $5 + $1 = $6

               Then he sells 260 articles at the price of ^ $6

               260 * $6 = $1560

Each of the remaining articles is sold at a price that's 50% of the 260 he sold.

         He sold those for $6,  so he would now sell the last 40 for $3

               From the remaining 40 articles, he makes 40 * $3, or $120

The shopkeeper made $1560 + $120 = $1680,  which is $180 more than he bought them for ($1500)

Therefore, he made a profit percentage of $180 / $1500,  (the amount of profit over the amount spent).

He made a profit percentage, compared to the cost price, of 12%.

Answer:

see below

Step-by-step explanation:

The smallest size has area b^2

A = s^2

A= b^2 = 24^2 =576 m^2

The middle size has area a^2

1024 = a^2

Take the square root of each side

sqrt(1024) =sqrt(a^2)

32 = a

The side length is 32 m

To find the side length of the largest pasture use the pythagorean theorem

a^2 + b^2 = c^2

32^2 + 24^2= c^2

1024+576 = c^2

1600 = c^2

Taking the square root of each side

sqrt(1600) = sqrt(c^2)

40 = c

The side length is 40 m

The area is 1600 m^2

It is fair since the areas are the same.1600 m^2 = 1600 m^2

Answer:

The numbers needed to fill each box are in the image attached

Step-by-step explanation:

The probability of the coin landing on heads is 2/7, so the probability of it landing on tails is 1 - 2/7 = 5/7

The probability of landing heads 2 times is:

P = (2/7) * (2/7) = 4/49

The probability of landing heads and then tails is:

P = (2/7) * (5/7) = 10/49

The probability of landing tails and then heads is:

P = (5/7) * (2/7) = 10/49

The probability of landing tails 2 times is:

P = (5/7) * (5/7) = 25/49

The numbers needed to fill each box are in the image attached.

Step-by-step:

The first flip numbers will always add up to 1 so you do

1 - 2/7= 5/7

now it gets easy...

The second flip  head will be 2/7 because it is a biased dice and the second flip tail will be 5/7

This also applies for the bottom 2: 2/7 head, 5/7 tails

hope this helped :)

Answer:

A

Step-by-step explanation:

It is specifically in bone marrow. Bone marrow is the tissue comprising the center of large bones.

Plss brainliest

Answer:

In the Bones

Step-by-step explanation:

apex checked by myself

Answer:

A, all real numbers

Step-by-step explanation:

The domain is the x value and the x value is the domain.

So when you take a look at the x values, it keeps going on and on

So when x values or y values keep going on forever we call that all real numbers

Hope this helps! Plz mark brainliest!