A system of equations is shown.
x + y = 7
2x – y = – 1
What is the solution to the system of equations?

Hello!

The answer is 20/60 simplest form is 1/3

To get 20/60 you must multiply the Numerator by Numerator (4*5) and Denominator by Denominator (5*12). Your answer will be 20/60.

To get 1/3 you must simplify a number that can go into 20 and 60 (which is 10). Divide 20/10 and 60/10 and get 2/6. Simplify 2/6 by 2 and get 1/3.

Solution:

Given that,

[tex]y = 4.50x[/tex]

We have to find the constant of proportionality in the equation

We know that,

When y varies directly with x, then

[tex]y \propto x\\\\y = kx ---- eqn\ 1[/tex]

Where, "k" is constant of proportionality

From given,

y = 4.50x

Compare the above equation with eqn 1,

Thus, constant of proportionality in the equation y = 4.50x is 4.50

Answer:

6.8 quarts of white paint

Step-by-step explanation:

If you make 5 parts equal to 0.5 you will have 17 parts blue paint. 17 divided by 5 (to get how many parts we are using) is 3.4. One part blue paint is 3.4 quarts. Times that by two to get how many parts of white paint. We need 6.8 quarts of white paint.

Answer:

d. 3 liters

Step-by-step explanation:

divide the amount of water by the amount of players to get the answer

27 ÷ 9 = 3

Answer:

D) 3 Liters

Step-by-step explanation:

We know that Frank has 27 liters of water, and he needs to divide it into equal amounts for 9 players. To find out how much water each of the 9 players will get, we can set up an equation like this:

(Amount of water) ÷ (Number of players) = (How much water each player gets)

Now we insert the numbers into this equation:

27 ÷ 9 = 3

So each player will get 3 liters of water

Answer:

not 100% sure

Step-by-step explanation:

40÷3=13.3 minutes

Answer:

Step-by-step explanation:

if you want the ratio 40 seconds to 3 minutes

3 minutes=60×3=180 seconds

40 seconds to 180 seconds=40/140=2/9

or 2:9

Answer: p = 0.23

Step-by-step explanation:

-10 + 20p + 6p =-16

To find the value of p

Step 1: combine like terms

20p + 6p = -16 + 10

26p = 6

Divide both sides by 26

p = 6/26

P= 0.23

I hope this helps.

Answer:

p = -3/13

Explanation:

1. add 10 onto right side

2. combine like terms

3. divide by 26 to get p by itself

4. simplify

50 seconds

Recall the equation

d=rt

Distance = rates times time.

We have a single distance, 400m

We have two different rates 1 1/3 m/s and 1.6 m/s

Let's calculate the time for each rate

t = d/r

t = 400/(1 1/3) = 300 seconds

t = 400/1.6 = 250 seconds

By increasing his average speed, Alex will reduce his time by

300-250 = 50 seconds.

Answer:

20.4

Step-by-step explanation:

20.35185185185185

You have to round it because in the hundredth place #5 is over 5 so, it rounds so the answer is 20.4.

Anything more than 5, 6, 7, 8, 9 ^ rounds.

Answer:

24 square centimeters

Step-by-step explanation:

Parallelagram Area fromula is A=bh

which is Area equals base times hieght

You just plug in the infromation in the problem and solve

A=bh

A=4x6

A=24

Step-by-step explanation:

[tex]6x+3y=12\qquad\text{subtract}\ 6x\ \text{from both sides}\\\\6x-6x+3y=12-6x\\\\3y=12-6x\qquad\text{divide both sides by 3}\\\\\dfrac{3y}{3}=\dfrac{12}{3}-\dfrac{6y}{3}\\\\\large\boxed{y=4-2y}\\\\===================[/tex]

[tex]2p-k=3\qquad\text{subtract}\ 2p\ \text{from both sides}\\\\2p-2p-k=3-2p\\\\-k=3-2p\qquad\text{change the signs}\\\\k=-3+2p\\\\\large\boxed{k=2p-3}\\\\===================[/tex]

[tex]6v-2w=10\qquad\text{subtract}\ 6v\ \text{from both sides}\\\\6v-6v-2w=10\\\\-2w=10-6v\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2w}{-2}=\dfrac{10}{-2}-\dfrac{6v}{-2}\\\\w=-5+3v\\\\\large\boxed{w=3v-5}\\\\===================[/tex]

Answer:

9 and 10

Step-by-step explanation:

Consider perfect squares on either side of 92, that is

81 < 92 < 100, thus

[tex]\sqrt{81}[/tex] < [tex]\sqrt{92}[/tex] < [tex]\sqrt{100}[/tex], that is

9 < [tex]\sqrt{92}[/tex] < 10

Final answer:

To find two consecutive whole numbers that the square root of 92 lies between, we calculate the square root of 92 to determine its approximate value, which falls between 9 and 10.

Explanation:

To find two consecutive whole numbers that √92 lies between, we need to calculate √92 to determine its approximate value. Since 92 is between 81 (9²) and 100 (10²), the square root of 92 lies between 9 and 10. Therefore, the consecutive whole numbers are 9 and 10.

Answer:

33

Step-by-step explanation:

5a+b

if a = 6 and b = 3, substitute these values into the expression:

5a+b

= 5(6) + 3

= 30 + 3

= 33

Hope This Helps!!!!!!!!!!!!!!

Answer:

33

Step-by-step explanation:

5a+b

if a = 6 and b = 3, substitute these values into the expression:

5a+b

= 5(6) + 3

= 30 + 3

= 33

To calculate the total cost for a 660 feet fence by Company 2, subtract the initial 550 feet covered by the flat fee from the total length, multiply the additional feet by the per-foot cost, and add the flat fee to get the final cost, which is $7790.

The student is asking about calculating the total cost for installing fencing, which involves initial fees and additional per unit costs. In this case, Company 2 charges a flat fee for the first 550 feet of fence and then an additional fee for each foot beyond that.

To find the total cost when Company 2 installs a fence of 660 feet, we first calculate the number of feet beyond the initial 550 feet. This is 660 - 550 = 110 feet. Then, we multiply the additional feet by the cost per additional foot: 110 feet x $29/foot = $3190.

Lastly, we add the initial flat fee of $4600 to the cost for the additional feet to get the total cost: $4600 + $3190 = $7790.

Answer:

answer is A

Step-by-step explanation:

Answer:

The answer is 90

The value of the 10!/(10 - 2)! is 90 after simplification of the factorial option (C) 90 is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have given an expression:

10!/(10 - 2)!

The sign '!' represents the factorial of the number.

As we know,

If factorial of any number can be evaluated:

n! = n(n - 1)(n - 2)(n - 3)(n - 4).......1

10! = 10×9×8×7×6×5×4×3×2×1

or

10! = 90(8!)

(10 - 2)! = 8!

= 90(8!)/(8)!

90

8! is canceled out from the numerator and denominator

Thus, the value of the 10!/(10 - 2)! is 90 after simplification of the factorial option (C) 90 is correct.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ5

Answer:

[tex]F(2)= \frac{1}{32} [/tex]

Step-by-step explanation:

The given function is

[tex]F(t) = 2 \cdot \: \frac{1}{{2}^{3t} } [/tex]

To find F(2), we substitute t=2 into the function.

This means that wherever we see t, we put 2

[tex]F(2) = 2 \cdot \: \frac{1}{{2}^{3 \times 2} } [/tex]

We multiply the exponent in the denominator to get:

[tex]F(2) = 2 \cdot \: \frac{1}{{2}^{6} } [/tex]

We evaluate to get:

[tex]F(2) = 2 \cdot \: \frac{1}{64} [/tex]

We now cancel the common factors to get:

[tex]F(2) = \frac{1}{32} [/tex]

Answer:

2880 km

Step-by-step explanation:

(distance) = (rate)*(time).

Here we have:

(distance traveled) = (720 km/hr)(4 hrs) = 2880 km

Answer:

plot the first point on -3 3/4 which is 1 line to the left of -3 and the second on 3/2 which is 1 1/2 or 1 1 2/4 which is in the middle of 1 and 2

Step-by-step explanation:

Answer: True

Step-by-step explanation:

769.5/142.5 = 5.4

Answer:

A) Linear

Step-by-step explanation:

For a linear relation, there will be a constant rate of change

For an exponential relationship, there will be a multiplicative rate of change.

For x-values, there is a constant difference of

[tex]d = 4 - - 3 = 11 - 4 = 18 - 11 = 7[/tex]

For the y-values, there is a constant difference of

[tex]b = 1 - - 3 = 5 - 1 = 9 - 5 = 4[/tex]

The rate of change of the function represented by the table is

[tex]m = \frac{change \: in \: y}{change \: in \: x} = \frac{4}{7} [/tex]

The equation can be derived as:

[tex]y + 3 = \frac{4}{7} (x + 3)[/tex]

This is a linear relationship

Answer:

m=3/4

Step-by-step explanation:

Slope is equal to the change in y over the change in x, or rise over run.

m=change in y/change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).

m=y2−y1/x2−x1

Substitute in the values of x and y into the equation to find the slope.

m=9−(3)/5−(−3)

Simplify.

m=3/4

The slope of the line passing through the points (-3,3) and (5,9) is 3/4

The formula for calculating the slope of a line is expressed as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

Given the coordinate (-3,3) and (5,9), substitute the coordinates into the formula as shown below;

[tex]m=\frac{9-3}{5-(-3)}\\m=\frac{6}{5+3} \\m=\frac{6}{8}\\m=\frac{3}{4}[/tex]

Hence the slope of the line passing through the points (-3,3) and (5,9) is 3/4

Learn more here: https://brainly.com/question/23935638

Answer:

3 positions to the right.

Step-by-step explanation:

1000 * 6.093

= 6093.

Answer:

Move 3 places to the right

Step-by-step explanation:

I hope I helped :)

f(x) - g(x) =  [tex]-2x^{3}+2x^{1/2}[/tex]

Step-by-step explanation:

Given :

f(x) - g(x) = ([tex]x^{1/2} -x[/tex]) - ( [tex]2x^{3} -x^{1/2} -x[/tex])

⇒ ([tex]x^{1/2} -x[/tex][tex]-2x^{3}+x^{1/2} +x[/tex])

⇒ [tex]-2x^{3}+2x^{1/2}[/tex]

f(x) - g(x) =  [tex]-2x^{3}+2x^{1/2}[/tex]

Step-by-step explanation:

Let A be the point at which the graph y=x²+3x-18

intersect the x-axis

As the graph intersects x-axis it's coordinate will be (x,0)

putting the value of y =0

x²+3x-18=0

x²+6x-3x-18=0

x(x+6)-3(x+6)=0

(x+6)(x-3)=0

x=-6, or,x=3

The point A maybe (-6,0) or (3,0)

Answer:

3.5 kilometers per/hour

Step-by-step explanation:

6/4= 1.5

1.5+2=3.5

Answer:

18 times i believe hope it help  

Step-by-step explanation:

Answer:

answer is 6

Step-by-step explanation:

thank the guy in the comments box

Answer:

Step-by-step explanation:

A net is a drawing that shows the edges and faces of a solid in two dimensions. You can think of a net as what you would get if you “unfolded” a solid. ... The net is made of three congruent rectangles and two congruent equilateral triangles. The surface area is the sum of the areas of the five shapes.

Answer:

three-dimensional figure that represents a cylinder

Step-by-step explanation:

Answer:

Step-by-step explanation:

(7,6)    (-3,-1)

(x1,y1)  (x2,y2)

[tex]Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\=\sqrt{(-3-7)^{2}+(-1-6)^{2}}\\\\=\sqrt{(-10)^{2}+(-7)^{2}}\\\\=\sqrt{100+49}=\sqrt{149}\\\\=12.21[/tex]