Write 29% as a decimal

Answers

Answer 1

Answer: 0.29 you are gonna move the decimal to the left two times

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What fraction of a pond is 70 pence

Answers

70 pence/1 pound = 70 pence /100 pence = 70/100 = 7/10 or 0.7

The graph shows the relationship between the time in minutes, x, and the number of gallons of water, y, being pumped into a pool.a. explain what each of the following coordinates means in terms of the time and the number of gallons of water: (0,0), (1,5), and (6,30). What is the unit rate? How do you know?

b. Write an equation that can be used to find the number of gallons of water, y, in the pool at any time, x. Identify the constant of proportionality in the equation.

Thank u!

Answers

a. The coordinates (0, 0), (1, 5), and (6, 30) represent the initial state, the unit rate of 5 gallons per minute, and the cumulative gallons added, respectively.

b. The equation y = 5x represents the relationship, with the constant of proportionality being 5 (gallons per minute).

a. In the context of the graph showing the relationship between time (x in minutes) and the number of gallons of water (y), we can interpret the given coordinates as follows:

(0, 0): This point (0, 0) means that when there is no time (x = 0 minutes), no water has been pumped into the pool (y = 0 gallons). It represents the starting point before any water pumping began.

(1, 5): At (1, 5), it indicates that after 1 minute of pumping (x = 1 minute), 5 gallons of water (y = 5 gallons) have been added to the pool. This suggests that the unit rate of water pumping is 5 gallons per minute. We can determine the unit rate by examining how much the number of gallons (y) changes for each unit increase in time (x).

(6, 30): At (6, 30), it shows that after 6 minutes of pumping (x = 6 minutes), a total of 30 gallons of water (y = 30 gallons) have been pumped into the pool. The unit rate here is still 5 gallons per minute, as for every minute, 5 gallons are added.

b. To write an equation representing this relationship, we can express it as a linear equation in the form y = mx, where m represents the constant rate of change (the unit rate) which is 5 gallons per minute. So, the equation is:

y = 5x

In this equation, the constant of proportionality (m) is 5, as it represents the rate at which gallons of water are added per minute. This equation can be used to find the number of gallons of water (y) in the pool at any time (x) in minutes, given that the unit rate of pumping is 5 gallons per minute.

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Answer:

The coordinate (0,0) means that in 0 minutes 0 gallons are pumped. (1,5) means that in one minute 5 gallons are pumped. (6,30) means that in 6 minutes 30 gallons are pumped. The unit rate is 5 because for each minute 5 gallons are pumped. The equation is y=5x. The constant of proportionality is 5.

Step-by-step explanation:

Which ordered pair in the form (a, b) is a solution of this equation?3a – 4b = 21

A.
(–3, –2)

B.
(0, 7)

C.
(–2, –3)

D.
(7, 0)

Answers

3(7)-4(0)=21
3*7=21-0=21
the answer is D

substitute the first number in the ( ) for a and the second for b
3(-3)-4(-2)
-9+8 does not =21

B. 3(0)-4(7)
0-28 does not = 21

C. 3(-2)-4(-3)
-6+12 does not =21

D. 3(7)-4(0)= 21 yeah

answer is D (7,0)

hope this helps

Which is the area of the figure? Can Someone Please Help Me. A. 192 square inches
B. 324 square inches
C. 392 square inches
D. 480 square inches

Answers

Rather than thinking of it as one shape, think of it as 3 shapes; 3 rectangles. The large section on the left side of the figure is one, and the two parts that stick out on the right side are 2. On the bottom right, two measurements are given; 13, which is the width of the bottom-right rectangle, and the height is 4. 13*4 is 52, which is the area of the bottom-right rectangle. Since the area of the top-right rectangle is equivalent to the area of the bottom right one, it is also 52. Finally, for the large rectangle on the left. Since the entirety of the width of the shape is 24, And the width of the right side is 13, 24-13 is 11. That means that the width for the large rectangle is 11, and it already gives you the height; The 12 on the inside of the shape and the Two heights of 4 for the right-side rectangles. 12 + 4 + 4 is 20, so that means that the area of the large rectangle is 20*11, which is 220. 220 + 52 + 52 is 324. The area for the figure is B, 324. Don't forget to choose which answer is the Brainliest!

Please answer quick

Answers

$x=4y+6\nx-3y=4\n\n4y+6-3y=4\ny=-2\n\nx=4\cdot(-2)+6\nx=-8+6\nx=-2\n\n\boxed{(x,y)=(-2,-2)}$

Answer in addition..

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Solve, using the substitution method. y – 3x = 7
21 + 9x = 3y

A. There is no solution.

B. There are an infinite number of solutions.

C. The solution is (1, 10)

D. The solution is (28, 0)

Answers

The system of equations are solved using substitution method and there are infinite number of solutions

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

To solve the given system of equations using the substitution method, we can follow these steps:

Step 1:

Solve one of the equations for one variable in terms of the other variable.

Let's solve the first equation, y - 3x = 7, for y in terms of x:

y = 3x + 7

Step 2:

Substitute the expression for the solved variable into the other equation.

Substitute the expression for y from step 1, which is 3x + 7, into the second equation, 21 + 9x = 3y:

21 + 9x = 3(3x + 7)

Step 3:

Simplify and solve for the remaining variable.

Now we can simplify the equation and solve for x:

21 + 9x = 9x + 21

0 = 0

Hence , resulting equation is a true statement, 0 = 0, which means that the system of equations is dependent and there are an infinite number of solutions.

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The answer is B

let me show my answer

-3x+y=7;9x+21=3y

Solve -3x+y=7 for y

Add 3x to both sides

-3x+y+3x=7+3x

y=3x+7

Substitute 3x+7 for y in 9x+21 =3y

9x+21=3y