Natasha rides her bicycle to school. She rides slowly uphill for 5 minutes when she first leaves her house, then speeds up and rides at a consistent speed on flat road for 15 minutes. The last 7 minutes of her ride, she goes faster and faster, flies downhill until she arrives at school. Which graph shows the relationship between Natasha’s speed on her bicycle and time?

Given:

Distance between to cities = 500 mi

Two cars left simultaneously moving towards each other.

The speed of one car was 10 mph greater than the speed of the other car.

They meet in 5 hours.

To find:

The speed of each car.

Solution:

Let x mi/h be the speed of one car.

So, speed of second car = (x + 10) mi/h

Two cars left simultaneously moving towards each other.

So, their relative speed = x + (x+10) = (2x+10) mi/h

We know that,

[tex]Speed =\dfrac{Distance}{Time}[/tex]

On substituting the values, we get

[tex]2x+10=\dfrac{500}{5}[/tex]

[tex]2x+10=100[/tex]

[tex]2x=100-10[/tex]

[tex]2x=90[/tex]

Divide both sides by 2.

[tex]x=\dfrac{90}{2}[/tex]

[tex]x=45[/tex]

Now,

Speed of one car = 45 mi/h

Speed of other car = 45+10

                                = 55 mi/h

Therefore, the speeds of two cars are 45 mi/h and 55 mi/hr.

Answer:

D "Matt wants to spend no more than" That indicates that it would be Less Than or = to

Step-by-step explanation:

Answer:

5.5 quotient 5 and rest 1

But I would answer quotient is 5 and half

Step-by-step explanation:

11/3 ÷ 2/3 = 11/3 * 3/2 = 11/2= 5.5

So the quotient is 5 and rest is 1

Hope this helps, have a good day

Answer:

5 1/2

Step-by-step explanation:

11/3÷2/3

Applying the fractions formula for division,

=11/3×3/2

=33/6

Simplifying 33/6, the answer is

=5 1/2

Answer:

96 5/8?????

if its wrong i sorryyy

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

If you mean multiplying them all, then:

2x6x8=96

5/8=0.625

0.625x96=60

yay its 60

Answer:

They made a mistake of the value of W.  If half of W is 30, then 1/1 should thus be 60, but it's 15. Leon made a mistake on the value of W. 1/2w-12=18 would actually be 3 based of background information.

Step-by-step explanation:W-

Answer:

Step two

Step-by-step explanation:

step one isn't wrong

and he infact made a mistake

Scale drawings are used to represent a large drawing using smaller measurements

The equivalent of 5" in the drawing is 30' i.e. 30 feet

The scale is given as:

[tex]\mathbf{\frac 12" = 3'}[/tex]

A single quote means feet, while a double quote means inches

So, the scale can be rewritten as:

[tex]\mathbf{\frac 12\ inches= 3\ feet }[/tex]

Multiply both sides by 10

[tex]\mathbf{\frac 12\ inches \times 10 = 3\ feet \times 10}[/tex]

Simplify

[tex]\mathbf{5\ inches = 30\ feet }[/tex]

Rewrite as:

[tex]\mathbf{5" = 30'}[/tex]

Hence, the equivalent of 5" in the drawing is 30' i.e. 30 feet

Read more about scale drawings at:

https://brainly.com/question/22627686

Answer:

I recently got it on my xbox

Step-by-step explanation:

I usually play with the family my name on xbox is wood  

Answer:

me

Step-by-step explanation:

Answer: Company A is charging $13 per pound of chocolate

Step-by-step explanation:

32.5/2.5=13= 1 pound

Check:

13*2.5=$32.5

Answer:  3/8

Step-by-step explanation:

1+2+3+2= 8

he has 8 balls in total

he has 3 orange balls so the probability is 3/8

Answer:

m=-1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Once you move the -x to the other side of the equation, it becomes +x, making the slope 1

~theLocoCoco

Answer:

x = -1/5y +3

Step-by-step explanation:

add -y to both sides

5x + y + -y = 15 + -y

5x = -y + 15

step 2 divide both sides by 5

5x/5 = -y +15/5

x= -1/5 y +3

Answer

x= -1/5 y + 3

Answer:

..................................................

Step-by-step explanation:

Answer: B.The range Is Higher for city A than City B

E. The median is the same for city A and City B

According to the calculations, the correct statements are B and C.

Given that Stephen gathered data about the average rainfall in two cities, and he organized his data in the graph, to determine which statements are correct, the graph must be analyzed and the following mathematical reasoning must be carried out:

The average rainfalls of City A range from 0.5 to 4.5 per month, with a variable range of 4 points. In turn, the average rainfalls of City B range from 1 to 4 per month, with a variability range of 3 points. Therefore, the range of the data for City A is higher than City B, so option B is correct, and options A and D are incorrect.

Regarding the median rainfalls, City A has a cumulative total of 27 points over 12 months, that is, an average of 2.25 per month. In turn, City B has a cumulative total of 28.5 points over 12 months, that is, an average of 2,375 per month. Therefore, the mean of City B is higher, so option C is correct.

Learn more in https://brainly.com/question/20982963

Answer:

they are on opposite quadrants and they meet exactly in the origin (0,0)

Answer:

The answer would be 0

Step-by-step explanation:

Use y = m x + b :)

Answer:

D

Step-by-step explanation:

2(a+3), a=3

2(3+3)

2(6)

12

A) 2(3)=5             (not equivalent)

B) 5(3)=15              (not equivalent)

C) 2(3)+3=9         (not equivalent)

D) 2(3)+6=12       (equivalent)

Answer:

I believe it'll be D.

Step-by-step explanation:

2(a+3) would be 2(3+3). Following PEMDAS, it'll be 2(6), or in other words 12.

In the answer D, 2(3) would equal 6. And 6 + 6 equals 12.

Sorry if this explanation isn't proper enough.

Answer: -36

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

[tex]{ \large{ \purple{ \sf{Hello \: there!}}}}[/tex]

As we know that, 1 cm = 0.01 m

So,

(a) 65 cm/s = 0.65 m/s

b) 367 km/h = (367 × 5 ÷ 18) m/s

c) 1000 cm/min = (1000 × 60 ÷ 100) m/s

d) 86 km/min = (86 × 60 ÷ 1000) m/s

[tex] \star \:{ \underline{ \boxed{ \sf{ \blue{Thank \: you : ) }}}}}[/tex]

Answer:

Less

Step-by-step explanation:

edge 2020

Answer:A.)less

Step-by-step explanation:

edge 2023

Answer:

y=2/-1 -3

Step-by-step explanation:

Answer: Increasing because it is gaining weight

Answer:

It's increasing.

Step-by-step explanation:

Camille's puppy is gaining weight as shown in the graph not loosing weight. If Camille's puppy was losing weight it'd be decreasing.

Hope this helps!! Good luck!! :)

Answer:

To the "LEFT", so -6 is "LESS"

Step-by-step explanation:

-6 < -4

Answer:

W= - 8

-10 + 2 = w

-8 = w

W = -8

Answer:

w = -8

Step-by-step explanation:

1. Add 2 to the -10

2. -10 + 2 = -8

W = -8

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

The average rate of change can be found by using the following formula

[tex]\frac{f(x_{2}) - f(x_{1}) }{x_{2} - x_{1}}[/tex]

Since the interval goes from -7 to 2, we should find the y-values that correspond to x=-7 and x=2.

By inspection of the graph, we can clearly see that when x is -7, y is -7 as well and when x is 2, y is 5.

Now that we know this, we can simply plug these values into the formula!

[tex]\frac{f(2) - f(-7) }{2 - (-7)} = \frac{5 - (-7)}{2 - (-7)} = \frac{5 +7}{2+7} = \frac{12}{9} = \frac{4}{3}[/tex]

Good luck!

(8 + k³ - 6k⁴) + (4 - 3k⁴ + 8k²)

8 + k³ - 6k⁴ + 4 - 3k⁴ + 8k²

(8 + 4) + (8k²) + (k³) + (-6k⁴ -3k⁴)

(12) + (8k²) + (k³) + (-9k⁴)

12 + 8k² + k³ - 9k⁴

Answer:

Start from coordinate 0, the exact center where the lines meet, then count down four, leave your point at -4 on the middle line.

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