Kaylee drove her scooter at an average speed of 15 miles per hour. Sophia drove her scooter at an average speed of 10 miles per hour. They drove a total of 60 miles in 5 hours. This situation can be represented with the system x+y=5 and 15x+10y=60 , where x represents the number of hours Kaylee drove her scooter and y represents the number of hours Sophia drove her scooter. Solve the system of equations by graphing. Graph both equations on the coordinate plane even if they represent the same line.

Answers

Answer 1

Answer:

Kaylee drove her scooter for 2h and Sophia drove her scooter for 3h.

Step-by-step explanation:

From the graph shown below, we can see that the intersection point is (2,3). When using the graphing method to solve a system of equations, the intersection point is the answer. In this case, x = 2 and y = 3.

Thus, Kaylee drove her scooter for 2h and Sophia drove her scooter for 3h.

Kaylee Drove Her Scooter At An Average Speed Of 15 Miles Per Hour. Sophia Drove Her Scooter At An Average
Answer 2

Kaylee drove her scooter for 2 hour and Sophia drove her scooter for 3 hours.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given that Kaylee drove her scooter at an average speed of 15 miles per hour. Sophia drove her scooter at an average speed of 10 miles per hour.

This can be represented with the system x+y=5 and 15x+10y=60 , where x represents the number of hours Kaylee drove her scooter and y represents the number of hours Sophia drove her scooter.

From the graph shown, we can see that the intersection point is (2,3).

When using the graphing method to solve a system of equations, the intersection point is the answer.

In this case, x = 2 and y = 3.

Thus, Kaylee drove her scooter for 2 hour and Sophia drove her scooter for 3 hours.

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Kaylee Drove Her Scooter At An Average Speed Of 15 Miles Per Hour. Sophia Drove Her Scooter At An Average

Related Questions

A deep sea diver started at sea level (0 feet) and dove at a rate of 5.6 feet per minute. If the diver dove for ½ hour, what rational number represents his position relative to sea level? Show your work. A. 168 feet B. 2.8 feet C. -2.8 feet D. -168 feet

Answers

Given:

A deep sea diver started at sea level (0 feet).

Rate of diving = 5.6 feet per minute.

Time = [tex]\dfrac{1}{2}[/tex] hour

To find:

The rational number that represents his position relative to sea level.

Solution:

We know that,

1 hour = 60 minutes

[tex]\dfrac{1}{2}[/tex] hour = 30 minutes

A deep sea diver, dove at a rate of 5.6 feet per minute.

Distance covered in 1 minute = 5.6 feet

Distance covered in 30 minute = 30 × 5.6 feet

                                                    = 168 feet

The diver dove 168 feet in [tex]\dfrac{1}{2}[/tex] hour. Since it is below the sea level, therefore it should be negative.

So, the rational number that represents his position relative to sea level is [tex]-168[/tex] feet.

Therefore, the correct option is D.

PLZ HELP!!!! solve for x​

Answers

Answer:

64 degrees

Step-by-step explanation:

Combining the 90 degrees, x degrees, and 26 degrees creates a flat angle or 180 degrees

so first, combine 90 and 26 degrees

90+26= 116

then subtract 116 from 180

180-116= 64 degrees

What is the length of line AD?

Answers

1

Step-by-step explanation:

i am very beautiful yes i know it

(-5/12) - 19/12
SUBTRACTION IN RATIONAL NUMBER
PLEASE HELP ME​

Answers

Answer:

Its - 2..................

Need help fast for 1 2 3 and 4 for please and thank you

Answers

The formula for the area of a circle is [tex]\pi r^2[/tex]

So if we have the first one...[tex]3.14*5^{2}[/tex]≈78.5

Now you can solve the other ones with this formula! Good luck!

I need help please and thank you ( umm 10 points i think ). thank u

Answers

Answer:

D

Step-by-step explanation:

since it tells you y is=1 plug that into the top equation

-1=5x+4

-1=x

and you already have y=-1

so its(-1,-1)

this is simple

since y = -1

y = 5x + 4

-1 = 5x + 4

5x = -5

x = -1

therefore answer is (-1, -1)

Which functions are symmetric about the y-axis? Check all of the boxes that apply. On a coordinate plane, a cosine curve has a maximum of 1 and minimum of negative 1. On a coordinate plane, a parabola opens to the right with a vertex at (0, 0) On a coordinate plane, a parabola opens up.

Answers

Answer:

1st box

3rd choice

Step-by-step explanation:

Those are the only choices that are symmetric about the y-axis

The 2nd choice isn't because it doesn't reflect over the y-axis

A graph is a way to represent a lot of data in a visual format. The functions that are symmetric about the y-axis are graphs 1 and graph 3.

What is a graph?

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The y-axis is the vertical axis of the graph, therefore, the functions that are symmetric about the y-axis are the graph of function 1 and the graph of function 3.

Hence, the functions that are symmetric about the y-axis are graphs 1 and graph 3.

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2y + 4 - xy - y + x² + 6y - 3x²=

Answers

Answer:

7y-2x^2+4+xy

Step-by-step explanation:

No need for an explanation it is option

Answers

Answer:

II) 78

Step-by-step explanation:

2x - 6 + 7x + 15 = 90

9x + 9 = 90

9x = 81

x = 9

<ABC:

7x + 15

7(9) + 15

78

Answer and Step-by-step explanation:

To find the measure of angle ABC, we need to find what x is first. We accomplish this by adding together the two angles and setting it equal to 90.

2x - 6 + 7x + 15 = 90

Combine like terms.

9x + 9 = 90

Subtract 9 from both sides.

9x = 81

Divide both sides by 9.

x = 9

We get x to be 9.

Now, we can plug this in for angle ABC.

7(9) + 15

Multiply 7 and 9 together.

63 + 15

Add 63 and 15 together.

78

The measure of ABC is 78.

That means the answer is II) 78.

#teamtrees #PAW (Plant And Water)

Which equation has infinitely many solutions?
5(2x + 4) = 10x – 12
5(2x + 4) = 10(x + 2)
5(2x + 4) = 12x
5(2x + 10) = 20(x + 1)

Answers

Answer:

5(2x + 4) = 10(x + 2)

Step-by-step explanation:

answer is 0 so it has infinite solutions

Answer: B. 5(2x+4)=10(x+2)

Explanation: Equals 0 because once distributed both equations are equal.
(A method to help you know without having to solve it.)

Hope this helps!

Write the equation of the circle with a center at (11,6) and a radius of 6.

Answers

Answer:

(x-11)^2 + (y-6)^2= 6^2

Step-by-step explanation:

Answer:

(x - 11)² + (y - 6)² = 36

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (11, 6 ) and r = 6, then

(x - 11)² + (y - 6)² = 6² , that is

(x - 11)² + (y - 6)² = 36

A researcher is interested in the effect of alcohol consumption on reaction times. Participants are assigned to one of three possible conditions: nonalcoholic beer group, 1 beer group, 2 beer group. After drinking, each participant is run through a driving simulator that measures their reaction time to unexpected obstacles (e.g., a child running into the street after a ball) that randomly appear during the simulation. In this example, what is the independent variable

Answers

Answer:

The three different possible conditions ;

nonalcoholic beer group, 1 beer group, 2 beer group

Step-by-step explanation:

The Independent variable, also known as the predictor variable are variables used to influence and check changes in the dependent or predicted variable as subjects are exposed to the different types or levels of independent variable used in the study.

In the scenario described above, the predictor or independent variables which are used to measure the reaction times of participants to unexpected variables is the independent variable, beacuse these different variables ; nonalcoholic beer, 2 beer will probably affect the response time of the participants which is the dependent variable.

The height of a square pyramid is 15 centimeters. The sides of its base measures 6 centimeters. What is the volume of the pyramid?

Answers

Answer:

180cm^3

Step-by-step explanation:

Given data

Height b=15 cm

Base a= 6cm

The expression for the volume of a pyramid is

V=a^2h/3

Substitute

V= 6^2*15/3

V= 36*5

V=180cm^3

Hence the volume is  180cm^3

82 is 66 percent of what?

Answers

Answer: 80.49.

Can u give me brainliest

Step-by-step explanation:

124.242424242


it just is the answer

Data that's displayed randomly on a scatter plot graph illustrates (please help asap!)

positive correlation.

negative correlation.

none of these.

no correlation.

Answers

D. No Correlation, since it is randomly being placed around a graph this is no negative or positive, which results it into being no correlation

The BP station sold gas for $2.49 per gallon. This week their gas prices are $2.61 a gallon. What was the percent increase in gas from last week to this week?

Answers

Answer:

.12%

Step-by-step explanation

2.61-2.49= 0.12

.12%

NEED HELP ASAP FREE BRAINLIST

Answers

Answer:

13.6

Step-by-step explanation:

[tex]a^2+b^2=c^2\\4^2+13^2=c^2\\16+169=c^2\\c^2=185\\\sqrt{c^2} =\sqrt{185} \\c=13.6[/tex]

How do you write 3x to the -5 power using only positive exponents?

Answers

Negative:

(3x)^-5

Positive:

(1/3x)^5



2(x + 10) = 26
Solve for x

Answers

Answer:

3

Step-by-step explanation:

a stadium shaped like a hemisphere with a radius of 150 feet. last month the owners of the stadium paid $0.05 per cubic foot to cover the cost of utilities. what was the total cost for utilities last month​

Answers

The formula for volume of a hemisphere is: V = 2/3 * π * r³

Volume = 2/3 x 3.14 x 150^3

Volume = 7,065,000 cubic feet.

Multiply the cost per cubic foot by the volume:

7,065,000 x 0.05 = 353,250

The total cost was $353,250

ill give brainliest, help me asap!
Lin says she has memorized the lengths of a few right triangles, for example, 3, 4, and 5. She is trying to compile a list of several right triangles but needs your help. Find the side lengths of at least two other right triangles.

Answers

Answer:

6-8-10

9-12-15

5-12-13

Step-by-step explanation:

We know the 3-4-5 right triangles work when you multiply the sides by anything. For example. 6-8-10 and 9-12-15 work.

If you want other right triangles that follow a similar pattern, 5-12-13 is also viable. 10-24-26 & 15-36-39 are all right triangles

The 6, 8, 10, and 9, 12, and 15 are other sides of the right-angle triangle after applying Pythagoras theorem.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have:

Lin says she has memorized the lengths of a few right triangles, for example, 3, 4, and 5.

There are 6, 8, 10, 9, 12, and 15 other sides of the right-angle triangle.

On applying Pythagoras theorem.

6² + 8² = 10²

9² + 12² = 15²

Thus, the 6, 8, 10, and 9, 12, and 15 are other sides of the right-angle triangle after applying Pythagoras theorem.

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A football team played 90 matches. They won 37 matches.
They drew 1/9 of their matches.
What fraction of their matches did they lose?​

Answers

Answer: 44 matches

Step-by-step explanation:

Let's take the given information

They won 37 matches

1/9th of their matches resulted in a draw

1/9 out of 90 is 9

You can take 90/9 and you will get 9

Now let us add 37+9 and you get 47

Now take 90-47

44 Matches lost

22/45 or 44/90

18 Which expression shows a "7" as a coefficient? Select ALL that apply.
A 2x-7
B 7(x + 9)
C 7x + 8y
D 3x7
E 7 + 5x
F 4x - 7y

Answers

Answer:

B,F, C

Step-by-step explanation:

I belive this because a coefficient a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).

Based on a sample survey, a tutoring company claims
that 90% of their students pass their classes. Out of 300 students, how
many would you predict will pass?

Answers

Answer:

270

multiply the number by the percentage-

300 x .90= 270 students

Answer:
Out of the 300, I predict 270 will pass.

Explanation:
You just have to multiply 90% by 300 and you’ll get 270.

Ginny paid $4.16 for a sandwich. She paid$0.95 for a piece of fruit. What is the total amount Ginny paid for the sandwich and fruit?

Answers

Answer:

$5.11

Step-by-step explanation:

4.16 + 0.95 = 5.11

$5.11 (not including tax)

Which is the graph of x2/9-y2/4=1

Answers

Answer:

Step-by-step explanation:

A cube has a volume of 64. What is the side length of one side
#15

Answers

Answer:

4

Step-by-step explanation:

volume is equal to a x a x a

This means that [tex]a^{3}[/tex] = V

Therefore, a = cube root of V, which is 4

It would be 4.

Using the formula
V=a3
Solving fora
a=V⅓=64⅓≈4

Which of the following expressions are equivalent?
A. –3(3x + 5) and –9x + 5
B. 7(6x – 1) and 42x – 7
C. –6(4x – 3) and –6x
D. 5(2x + 3y) and 25xy

Answers

Answer:

B. 7(6x – 1) and 42x – 7 is equivalent

Step-by-step explanation:

A. –3(3x + 5) and –9x + 5

=–3(3x + 5)=-9x-15 not equivalent

B. 7(6x – 1) and 42x – 7

7(6x – 1)=42x-7 equivalent

C. –6(4x – 3) and –6x

=–6(4x – 3)=-24+18 not equivalent

D. 5(2x + 3y) and 25xy

=5(2x + 3y)=10x+15y not equivalent.

25- 3x = 40 what is x

Answers

Simplifying
25 + -3x = 40

Solving
25 + -3x = 40

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-25' to each side of the equation.
25 + -25 + -3x = 40 + -25

Combine like terms: 25 + -25 = 0
0 + -3x = 40 + -25
-3x = 40 + -25

Combine like terms: 40 + -25 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

Find the value of X......

Answers

Answer:

720 = x +133+138+148+95+105

x = 101

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