Question 1 (1 point)
Find the area of the circle.

A) 37.82
B) 43.86
C) 17.72
D) 28.26

The given equations are

[tex]2x-3y=-1\cdots(i) \\\\y=x-1\cdots(ii)[/tex]

(a) Solution by graphing both the equations:

Graph for both the equations (i) and (ii) are in the figure. The point of intersection of both the graph is the solution of the equations.

From the graph, the point of intersection is (4,3)).

Hence, the required solution is (4,3).

(b) Solution by elimination method:

Equations (ii) can be written as -x+y=-1, now multiply it by 2, we have

[tex]-2x+2y=-2\cdots(iii)[/tex]

Add equations (i) and (iii), we have

2x-3y=-1

-2x+2y=-2

__________

[tex]\Rightarrow -3y+2y=-1-2\\\\ \Rightarrow -y=-3\\\\ \Rightarrow y=3.[/tex]

Putting the value of y=3 in equation (i), we have

[tex]2x-3\times 3=-1 \\\\\Rightarrow 2x=-1+9=8 \\\\\Rightarrow x=8/2=4[/tex]

Hence, the required solution is (4,4).

(c) Solution by substitution method:

Substituting the value of y from equation (ii) to equation (i), we have

[tex]2x-3(x-1)=-1 \\\\\Rightarrow 2x-3x+3=-1 \\\\\Rightarrow -x=-1-4=-4 \\\\\Rightarrow x=4[/tex]

Putting the value of x=4 in equation (i), we have

[tex]y=4-1=3[/tex].

Hence, the required solution is (4,3).

Answer:

Option D: The number of multiple-choice question points plus the number of  short-answer question points is 80 is the correct answer.

Step-by-step explanation:

Given that:

Points worth of test = 80 points

There are Multiple choice questions worth 2 points and short answer questions worth 4 points.

2x+4y=80

Thus,

The number of multiple choice questions points plus the number of short answer question points is 80.

Hence,

Option D: The number of multiple-choice question points plus the number of  short-answer question points is 80 is the correct answer.

Answer:

5.25

Step-by-step explanation:

Take the distance between the two points and divide by 2.

The distance between the two is 10.5 (9.1-(-1.4))

Divide by two to find the midpoint.

Answer: 3.85

Step-by-step explanation:

find the mean of the 2 numbers, that is the midpoint.

Answer: Mount Everest: 8,849.87 meters, Mount Olympus: 2,919.07 meters

Step-by-step explanation: Part A: 5900     Part B: 5930.8         Part C: It's reasonable because part a's answer and part b's answer is pretty accurate and close enough to each other, so yes it is reasonable. But the estimate is very reasonable.

Answer:

nice 44 pts

Step-by-step explanation:

Answer

Fill the 5 gallon jug.

Pour the 5 gallon jug into the 3 gallon jug.

Empty the 3 gallon jug and pour the remaining 2 gallons in the 3 gallon jug.

Fill the 5 gallon jug and pour 1 gallon into the 3 gallon jug (remember it will only take one gallon)

Viola the remaining 5 gallon jug will have exactly 4 gallons remaining.

Answer:

use 4/5 of the 5 gallon jar or 1 and 1/3 of the 3 gallon jar

Step-by-step explanation:

Answer: 8.3% when rounded

Answer:

Mayelle has a 8.3% increase in pay

Answer:

you to be the line smell the line and thats it

Step-by-step explanation:

Answer:78,800

Step-by-step explanation:

Answer:

A. [tex]8x^{6}[/tex]

Step-by-step explanation:

Answer:

8x6

Step-by-step explanation:

Answer:

x ≤ 3

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define inequality

3x ≤ 9

Step 2: Solve for x

Here we see that any solution x less than or equal to 3 would be a solution of the inequality.

Answer:

2080

Step-by-step explanation:

that's the answer i think Good luck :)

Answer:

c

Step-by-step explanation:

Answer:

C. yes because BC/ST = AC/RT

Hope This Helps!

Answer:

A: 7.5

Step-by-step explanation:

If the length is 5 inches longer than the width, we must multiply the width by 4 and add ten to figure out the perimeter. 7.5 x 4 = 30. 30 + 10 = 40.

Answer:

8

Step-by-step explanation:

40/5=8 plz trust me i need it!!!

Answer:

A.

Step-by-step explanation:

im in geometry my teacher lidirally teaching this rn brainliest pls pls pls

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

4 : 6 = 2/3

8/3 : 4 = 2/3

16/9 : 8/3 = 2/3

Answer:

Set A is a function

set B is not a function

Answer:

The y-intercept is -2.

Step-by-step explanation:

Look at the graph and see where the line crosses the y-axis.

Answer:

-2

Step-by-step explanation:

The y-intercept is defined as the point where the line crosses the y-axis. It can be negative or positive. In this picture, the line crosses the y-axis at the point -2.

~theLocoCoco

Answer:

Step-by-step explanation:

Five is a factor of 10.

Two times five = 10

Answer:

The space NOT occupied by the tennis balls is 12.26 cube inches.

Step-by-step explanation:

The space NOT occupied = volume of cylinder - total volume of spheres

The can is cylinder with volume = [tex]\pi[/tex][tex]r^{2}[/tex]h

where r is the radius and h the height of the cylinder

With the given condition,

r = [tex]\frac{diameter}{2}[/tex] = [tex]\frac{2.5}{2}[/tex]

                 = 1.25 inches

h = 3 x diameter = 3 x 2.5

                     = 7.5 inches

So that,

Volume of the can = [tex]\frac{22}{7}[/tex] x [tex](1.25)^{2}[/tex] x 7.5

                               = 36.830

Volume of can is 36.83 cube inches.

The tennis ball is a sphere with volume = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

                                = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.25)^{3}[/tex]

                                = 8.185

Volume of the tennis ball is 8.19 cube inches.

Since they are sold in three's, then;

total volume of the tennis balls = 3 x 8.19

                                     = 24.57

Volume of the tennis balls is 24.57 cube inches.

Thus,

The space NOT occupied = 36.83 - 24.57

                                           = 12.26

The space NOT occupied by the tennis balls is 12.26 cube inches.

Answer:

17-3-5=9???

Step-by-step explanation:

The number expression is 9 = 17 - 3 - 5 if Daniel found 17 basketballs but 3 of them were broken and another 5 needed pumping. There were only 9 basketballs that could be used.

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:

"Daniel found 17 basketballs but 3 of them were broken and another 5 needed pumping. There were only 9 basketballs that could be used.’’

Let x be the total number of basketballs that can be used.

x = 17 - 3(broken) - 5(need to pump)

x = 17 - 3 - 5

x = 17 - 8

x = 9

9 = 17 - 3 - 5

Thus, the number expression is 9 = 17 - 3 - 5 if Daniel found 17 basketballs but 3 of them were broken and another 5 needed pumping. There were only 9 basketballs that could be used.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Answer:

[tex]Tatiana = \$8.35[/tex]

Step-by-step explanation:

Given

[tex]Total = \$31.50[/tex]

[tex]Felicia = \$4.25[/tex]

[tex]Ingrid = 2 * Felicia[/tex]

[tex]Meiko = \$1.90 + Ingrid[/tex]

Required

Determine amount spent by Ingrid

We have that:

[tex]Ingrid = 2 * Felicia[/tex]

Substitute $4.25 for Felicia

[tex]Ingrid = 2 * \$4.25[/tex]

[tex]Ingrid = \$8.5[/tex]

We also have that:

[tex]Meiko = \$1.90 + Ingrid[/tex]

Substitute $8.5 for Ingrid

[tex]Meiko = \$1.90 + \$8.50[/tex]

[tex]Meiko = \$10.40[/tex]

The total can be represented as thus:

[tex]Felicia + Ingrid + Meiko + Tatiana = Total[/tex]

[tex]\$4.25 + \$8.50 + \$10.40 + Tatiana = \$31.50[/tex]

[tex]\$23.15+ Tatiana = \$31.50[/tex]

Collect Like Terms

[tex]Tatiana = \$31.50 - \$23.15[/tex]

[tex]Tatiana = \$8.35[/tex]

Answer:

awsome

Step-by-step explanation:

Answer:

Well..

Step-by-step explanation: Za Warudo

Answer:

231 ft²

Step-by-step explanation:

Given that :

Dimension of each side = 3.5 feets by 11 feets

Area of each side :

Length * width = (3.5 * 11) feets = 38.5 ft²

Number of sides = 6

Hence, number of square feets to paint :

Number of sides * area of each side :

6 * 38.5 ft²

= 231 ft²

Answer:

1138

Step-by-step explanation:

From the information given:

We can represent it perfectly in an exponential form:

[tex]m = p(q)^x[/tex]

where;

p = initial value = 120

q = base of the exponential form

q = 1 + r

here; r = rate in decimal = 10% = 0.1

Then q can now be = 1 + 0.1 = 1.1

Replacing it into the exponential form, we get:

[tex]m = 120(1.1)^x[/tex]

where;

x = number of days and m = number of shoppers

Thus:

For the first day:

[tex]m = 120(1.1)^x[/tex]

m = 120

For the second day:

[tex]m = 120(1.1)^1[/tex]

m = 132

For the third day:

[tex]m = 120(1.1)^2[/tex]

m = 145.2

For the fourth day

[tex]m = 120(1.1)^3[/tex]

m = 159.72

For the  fifth-day

[tex]m = 120(1.1)^4[/tex]

m = 175.692

For the sixth-day

[tex]m = 120(1.1)^5[/tex]

m = 193.2612

For the seventh-day

[tex]m = 120(1.1)^6[/tex]

m = 212.58732

Thus; the total numbers of shoppers for the first 7 days is:

[tex]= 120+ 132 + 145.2 + 159.72 + 175.692+193.2612+212.58732[/tex]

= 1138.46052

≅ 1138

Answer:

I have attached a picture of the graph.

Step-by-step explanation:

So for 3 miles, they are charged $6 and for 5 miles, $8. This means that for 5-3 = 2 miles, they are charged $8-$6 = $2.

2 miles = $2

1 mile = $1

We will apply this charging rate for 3 miles since we know there is a flat fee added into it too.

3 miles = $3

Flat fee = $6 - $3

            = $3

That means that at 0 miles, there is a flat fee of $3, and so the graph would start at 3 on the x-axis even when the y-axis (representing the miles) is at 0 (0 miles).

You also know that for each mile, there is an increase of $1, so the graph should increase upwards at 1 dollar per 1 mile. I have attached the graph for you.

Answer:

Graph at (3, 6) and (5,8) and YES they are proportional

(don't forget to correctly graph the x and y)