Susan walked a total of 8 kilometers by making 4 trips to school. How many trips will Susan have to make in all to walk a total of 10 kilometers? Assume the relationship is directly proportional.

Answer:

AB(12, -8)?

Step-by-step explanation:

I think that's it but I haven't done something like this in a hot minute. If it's wrong I'm sorry

Answer:

4x-2y=2

Step-by-step explanation:

Line R is represented by the following equation:

x+y=2

We need to choose another system of equation of x+y=2

whose solution is (1,1)

The equation must be satisfy the point (1,1)

Option 1: 2x+y = 2

Put x=1 and y=1

2(1)+1 = 3

3 ≠ 2

False

Option 2: 4x-2y=2

Put x=1 and y=1

4(1) - 2(1) = 2

2 = 2

True

Option 3: 2x-2y=2

Put x=1 and y=1

2(1) - 2(1) = 0

0 ≠ 2

False

Option 4: x+y=4

Put x=1 and y=1

1+1 = 2

2 ≠ 4

False

Hence, The system of equation is 4x-2y=2

Step-by-step explanation:

[tex]2(6)( - 2) = \\ = 2( - 12) = \\ = - 24[/tex]

Answer:

4g = 8

You would just have to divide 4 on both sides. The 4's would cancel out and now your left with 8÷4 = 2

Your answer would be

g = 2

Answer:

24 is the answers for the question

Answer:

the answer is 24 ........

Answer:

the answer is 180 students.

Step-by-step explanation:

I got this by subtracting 15 by 100 and got 75. This means 75% chose purple. Then you take 75% of 240 and that's your answer

Answer:

204

Step-by-step explanation:

ok

Required picture attached below :

Answer:

2 1/4 inches

Step-by-step explanation:

From the line plot Given ;

The frequency or number of 3/4 inch button is 3

Therefore, lining up all the 3/4 inch button in the plot, we have :

3/4 + 3/4 + 3/4

(3 + 3 + 3) /4

9 /4

2 1/4 inch

Answer:

18

Step-by-step explanation:

What is 2?

the question is not clear

Answer:

y = 0.01 * 2ˣ

Step-by-step explanation:

f(x) = xⁿ

0: 0.01 = 0.01 * 2⁰ = 0.01 * 1 = 0.01

1: 0.02 = 0.01 * 2¹ = 0.01 * 2¹ = 0.02

2: 0.04 = 0.01 * 2² = 0.01 * 2² = 0.04

Answer:

Juan rode more slowly, Rita's graph is much steaper than Juan's. This means that she went faster and in less time. Juan took longer time and went on a slower pace. That's why I chose Juan.

Step-by-step explanation:

Good luck! <3

Answer:

x=2

Step-by-step explanation:

given 9x-12=3x we want to solve for x

To do so we need to isolate the variable using inverse operations

to get rid of the 9x we subtract each side by 9x

9x - 9x  cancels out

3x - 9x =-6x

now we have

-12=-6x

now we want to get rid of the -6

to do so we divide each side by -6

-6x/-6=x

-12/-6=2

we're left with x=2

Answer:

9x=3x+12

9x-3x=12

9x-3x=12

6x=12

x=2

solution

x=2

Answer:

The surface area of the given pyramid is 112 [tex]inches^{2}[/tex].

Step-by-step explanation:

Base length of the pyramid = 4 inches

Area of the base = [tex]length^{2}[/tex]

                            = [tex]4^{2}[/tex]

                            = 16

Area of its base = 16 [tex]inches^{2}[/tex]

Area of one of its triangular surface = [tex]\frac{1}{2}[/tex] x base x height

                                 = [tex]\frac{1}{2}[/tex] x 4 x 12

                                 = 2 x 12

                                 = 24 [tex]inches^{2}[/tex]

Area of all its four triangular surfaces = 4 x 24

                                                       = 96 [tex]inches^{2}[/tex]

surface area of the pyramid = sum of areas of all its surfaces

                                               = 16 + 96

                                       = 112 [tex]inches^{2}[/tex]

The surface area of the given pyramid is 112 [tex]inches^{2}[/tex].

I believe this is correct! Good luck :)

Theoretical Probability:

P(rolling a 2) = 16.7%

P(rolling a 5) = 16.7%

P(rolling 2 or 3) = 33.4%

P(greater than 4) = 33.4%

P(3 or less) = 50.1%

Experimental Probability:

P(rolling a 2) = 20%

P(rolling a 5) = 6%

P(rolling 2 or 3) = 36%

P(greater than 4) = 24%

P(3 or less) = 54%

Explanation:

Theoretical probability can be calculated based on the idea that each of the six numbers on the die has an equal chance of being rolled and all numbers' probabilities total to 100%. Experimental probability is based on the outcomes of your experiment (rolling the dice yourself).

When finding the probability of rolling a number or another number (for example, rolling a 2 or 3), just add the probabilities together (You rolled 2 ten times and 3 eight times, so the experimental probability of rolling a 2 or 3 is 18/50 = 36%)

Answer:

40%

Step-by-step explanation:

5 shots 20% for each you have 2 so 20+20=40

Answer:

16.40

Step-by-step explanation:

use Pythagorean theorem

Answer:

9900 Students

Step-by-step explanation:

Divide 8513 by .86 to show the rest of the freshman class.

You can check by doing 9900 times .86 to see %86 of 9900

Total there are 9900 students are in the freshman class.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, 86% of a university's freshman class are majoring in Computer Science.

8514 students in the freshman class are Computer Science majors.

Let the number of students are in the freshman class be x.

Here, 86% of x=8514

86/100 ×x=8514

86x=851400

x=851400/86

x=9900

Therefore, total there are 9900 students are in the freshman class.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ6

Answer:

x= 1 ±√21/3

x= 2.52753

x= - 0.527525

Step-by-step explanation:

-(-6) ±√-6² - 4 (3) (-4) / 2(3)

6±√36 -(-48) / 6

6±√84/6

6±2√21/6

6/6 ±2√21/6

1±√21/3

1+ √21/3 = 2.52753

1-√21/3= - 0.527525

Step-by-step explanation:

[tex]3x ^{2} - 6x - 4 = 0[/tex]

[tex]by \: quadratic \: formula[/tex]

[tex](-b±√(b²-4ac))/(2a) [/tex]

[tex] - ( - 6)±√( - 6²-4(3)( - 4) /(2 \times 3) [/tex]

[tex](6±√(36 + 48)/(6) [/tex]

[tex](6±√(84)/(6) [/tex]

[tex](6±2√21)/6[/tex]

[tex]2(3±√21)/6 [/tex]

[tex]3±√21/3[/tex]

[tex]let \: \alpha \: and \: \beta \: be \: two \: roots \: .[/tex]

[tex]3 + \sqrt{21} /3[/tex]

[tex]3 + 4.58/3[/tex]

[tex]7.48/3[/tex]

[tex]2.52[/tex]

[tex]and \: second \: root \: = 3 - \sqrt{21} /3[/tex]

[tex]3 - 4.58/3[/tex]

[tex] - 1.58/3[/tex]

[tex] - 0.52[/tex]

[tex]so \ \: alpha = 2.52 \: and \: \beta = - 0.52[/tex]

Answer:

1,Area = πr² Circumference = 2 πr So first we solve for r from area: 25 π = πr² 25 = r² r = 5 So we know that radius is 5 cm. Now substitute r to 5 in circumference formula: C = 2π(5) = 10π

2.126 cm2

3. Tank a

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Please enclose the fractional coefficient inside parentheses:

m(x) = (-5/3)x + 4

To find m(3), replace x in the above equation with 3:

m(3) = (-5/3)(3) + 4  =  -5 + 4 = -1

Answer:

-512

Step-by-step explanation:

The appropriate general formula for a geometric series is a(n) = a(1)*r^(n - 1).

In this problem the first term, a(1) = 1, and the common ratio is r = -2.  The pertinent geometric series is thus:

a(n) = (-2)^(n - 1), and the 10th term is a(10) + (-2)^(10 - 1) = -512 = a(10)

Answer:

22 miles

Step-by-step explanation:

Answer:

The two numbers are 9 and 11

Answer:

the answer would be 18.28

Step-by-step explanation:

if you times 0.914 x 20

which would make 20 yards

because 0.914 is only 1 yard

Answer:

What?

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1 is the right answer for this question