Yuto and Riko went for a bike ride on the same path. When Riko left their house, Yuto was 5.25 miles along the path. If Yuto’s average speed was 0.25 miles per minute and Riko’s average speed was 0.35 miles per minute, then Riko will be behind Yuto when 0 ≤ t < 52.5, where t is time in minutes. Explain what this solution means and why t cannot be less than zero

Answer:

1st one

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Answer:

The number of quarters required to pile up to 2 km are 1000000.

Step-by-step explanation:

Diameter of each quarter = 2 mm

Total height = 2 km

Number of quarters required is given by

[tex]\frac{ 2 km}{2 mm}\\\\\frac{2\times 1000\times 1000 mm}{2 mm}\\\\= 1000000[/tex]

Answer:

x > 3

Step-by-step explanation:

Given the inequality :

-2(5 – 4x) < 6x – 4

Expand the equation in bracket :

-10 + 8x < 6x - 4

Collect like terms

-10 + 4 < 6x - 8x

-6 < - 2x

Divude both sides by - 2

-6 / - 2 < - 2x / - 2

3 < x

x > 3

Answer:

[tex]Minimum = (5,7)[/tex]

No maximum

Step-by-step explanation:

Given

[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]

Solving (a): The minimum

The minimum is when the absolute parameter gives 0

i.e.

[tex]0.9|-(x - 5)| =0[/tex]

Divide both sides by 0.9

[tex]|-(x - 5)| =0[/tex]

Open bracket

[tex]|-x + 5| =0[/tex]

Remove absolute sign

[tex]-x + 5 =0[/tex]

Collect like terms

[tex]x = 5[/tex]

Then the y value is:

[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]

Recall that: [tex]0.9|-(x - 5)| =0[/tex]

So, we have:

[tex]f(x) = 0 + 7[/tex]

[tex]f(x) = 7[/tex]

Hence, the minimum is at: [tex](5,7)[/tex]

Since the minimum is at [tex](5,7)[/tex], then the graph will open upwards.

Hence. the function has no maximum; i.e.

[tex]Maximum = (\infty,\infty)[/tex]

Answer:

Step-by-step explanation:

C looks right

as shown in the graphs  :P

Answer:

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Answer:

x = -2

y = 8

Step-by-step explanation:

8x + 5y = 24

y = -4x

8x + 5 (-4x) = 24      (Substitute y value)

8x - 20x = 24           (Multiply)

-12x = 24                   (Combine like terms and divide)

x = -2

y = -4 (-2)                   (Substitute x value. Multiply)

y = 8

Answer:

Each jar contains 150 g.

Step-by-step explanation:

Florencia prepared a kilo 3/4 kg of dulce de leche and wants to divide it into equal portions in 5 jars How many kg of Dulce will she put in each jar How many grams are equivalent?

Amount prepared = 3/4 kg

Total number of jars = 5

The amount in each jar is given by

[tex]\frac{3}{4}\times \frac{1}{5}\\\\=\frac{3}{20} kg\\\\= \frac{3}{20}\times1000g = 150 g[/tex]

Answer:

[tex] \displaystyle \boxed{k = 3}[/tex]

Step-by-step explanation:

to determine the Value of k we need to find the equation of f(x) and g(x)

finding the equation of f(x):

f(x) is a linear function which form is given by:

[tex] \displaystyle f(x) =mx + b[/tex]

where:

from the graph we acquire that

[tex]b = 4[/tex]

to figure out m we can consider the following formula:

[tex] \displaystyle m = \frac{ \Delta y}{ \Delta x} [/tex]

from the graph we obtain that both ∆x and ∆y is 1 thus substitute:

[tex] \displaystyle m = \frac{ 1}{ 1} [/tex]

simplify:

[tex] \displaystyle m = 1[/tex]

altogether we acquire:

[tex] \displaystyle f(x) =x + 4[/tex]

finding the equation of g(x):

likewise f(x)

from the graph we obtain that

thus substitute:

[tex] \displaystyle m = \frac{ 3}{ 1} [/tex]

simplify:

[tex] \displaystyle m = 3[/tex]

from the graph we acquire

altogether substitute therefore

[tex] \displaystyle g(x) =3x + 4[/tex]

finding the value of k:

given that,

[tex] \displaystyle \rm f(x) \: \text{and} \: g(x) =f(kx) = 3x + 4[/tex]

so our equation is

[tex] \displaystyle kx + 4 = 3x + 4[/tex]

cancel 4 from both sides:

[tex] \displaystyle kx = 3x [/tex]

divide both sides by x:

[tex] \displaystyle \boxed{k = 3}[/tex]

and we're done!

Disclaimer:

at the following link we posted the complete question

the complete question:

Answer:

k = 3

Step-by-step explanation:

Graph is in attachment .

Finding equation of first line [ f(x) ] :-

We can see that the line passea through point ( 0,4) . Therefore ,

Also it passes through (-4,0 )

Now let's find out slope .So that we can use the slope intercept form to find the equⁿ of the line.

Equation of f(x) :-

Similarly when we will find the equⁿ of g(x) :-

By question :-

Answer:

Total amount of ticket free = £64.89

Step-by-step explanation:

Given:

Cost of theater ticket = £63 plus

Booking fee of theater ticket = 3%

Find:

Total amount of ticket free

Comutation:

Total amount of ticket free = Cost of theater ticket + Booking fee of theater ticket

Total amount of ticket free = 63 + 3%

Total amount of ticket free = 63 + 1.89

Total amount of ticket free = 64.89

Total amount of ticket free = £64.89

Answer:

90 diagonais.

Step-by-step explanation:

[tex]n(n-3)/2=15(15-3)/2=15*6=90[/tex]

Answer:

2560 Pesos

Step-by-step explanation:

How to find the amount of money in the savings account:

2380 - 500 = 1880

1880 + 680 = 2560

The addition equation: 1880 + 680 = 2560

The sum of the money: 2560 Pesos

Answer:

30 palindromes!!!!!!!

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

zero cannot be the first digit of the palindromes. There are nine other numbers that can be.

9 * 10

The last digit also cannot be zero so it has the same value as the first digit. (Otherwise the number cannot be palindromic) So you are really looking at only 90 numbers total.

That's not the question, but it does put a limit on how many there can be.

Let's find the first number (closest to 100 ) that is palindromic and divisible by 3.

I think 111 is the smallest.

Now what about the largest? That would be 999.

So what is the next number after 111? Wouldn't that be 141?

The difference between 111 and 141 is 30

It turns out that any first digit that is divisible by 3, has 4 palindromic numbers because for them, the second digit is a 0. So for 3 for example, you get

303

333

363

393

All the other numbers only have 3 entries for example, 1 gives you

111

141

171

So making a table we get

First digit                          Number of palindromes divisible by 3

1                                        3

2                                       3

3                                                   4

4                                       3

5                                       3

6                                                   4

7                                       3

8                                       3                                            

9                                                   4

                                       18         12

Total                                

Answer:  

a        

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Because the ops are always trying to oppose things, so you show them why they're wrong.

Answer:

1st option.

0 to 100 miles per hour

Step-by-step explanation:

as we can see the question states that a particular car' s gas mileage DEPENDS upon its speed.

Since, the independent variable is the domain of the function the speed of the car will act as the domain of the given function.

out of all the option option 1 gives us values of speed( cause its unit is miles/ hour - unit of speed).

so the domain is

0 to 100 miles per hour.

Answer:

(A) 0 to 100 miles per hour

Step-by-step explanation:

The domain is the independent variable, or the input. The speed is the independent variable because the gas mileage DEPENDS on it. That means the gas mileage is the dependent variable.

The only answer that is related to the speed is the first answer choice.

Hope that helps (●'◡'●)

Answer:

First dropbox: 7h + 43 = 64

Second dropbox: $3

Step-by-step explanation:

Here's what we know about the question so far:

$43 is the initial fee

The rototiller worked for 7 hours

$64 is the total cost (including initial fee)

h = hourly fee

The answer should be 7h + 43 = 64 because:

- It includes the initial fee of $43

- It sets the equation equal to $64, which is the total cost

- The hourly fee is being multiplied with 7 hours, which is correct since the h variable is hourly (not sure how to explain this part ;w; )

For the 2nd drop box, we will use basic algebra to solve for h:

7h + 43 = 64

(subtract both sides by 43)

7h = 21

(divide both sides by 7)

h = 3

There's your 2 answers!

Hope it helps (●'◡'●)

[tex] \frac{6}{11} - \frac{ - 7}{11} [/tex]

[tex] \frac{6 - ( - 7)}{11} [/tex]

[tex] \frac{6 + 7}{11} [/tex]

[tex] \frac{13}{11} [/tex]

Answer:

To solve this problem, we need to use the following two facts:

1) If a quadratic equation has integer coefficients only, and if one of the roots is a + √b (where a and b are integers), then a - √b is also a root of the equation.

2) If r and s are roots of a quadratic equation, then the equation is of the form x^2 – (r +s)x + rs = 0.

Since we know that 1 - √2 is a root of the quadratic equation, we can let:

r = 1 + √2

and

s = 1 - √2

Thus, r + s = (1 + √2) + (1 - √2) = 2 and rs = (1 + √2)(1 - √2) = 1 – 2 = -1.

Therefore, the quadratic equation must be x^2 – 2x – 1 = 0.

Answer: D

Step-by-step explanation:

Given:

The given equation is:

[tex]\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2[/tex]

To find:

The solution for the given equation.

Solution:

We have,

[tex]\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2[/tex]

On simplification, we get

[tex]\sqrt{2x}=2\sqrt{x-1}[/tex]

Squaring both sides, we get

[tex]2x=4(x-1)[/tex]

[tex]2x=4x-4[/tex]

[tex]2x-4x=-4[/tex]

[tex]-2x=-4[/tex]

Divide both sides by -2.

[tex]x=\dfrac{-4}{-2}[/tex]

[tex]x=2[/tex]

Therefore, the correct option is B.

Answer:

less than, less than, greater than (from top to bottom)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4.8 feet

Step-by-step explanation:

Use the cosine ratio, since we are given the length of the hypotenuse (the ladder) and are asked to find the horizontal distance between it and the ground.

Let x represent the horizontal distance (the adjacent leg)

cosine θ = adjacent / hypotenuse

cosine 76° = x / 20

(20)(cosine 76°) = x

4.8 = x

So, the horizontal distance is approximately 4.8 feet

Answer:

C: 165mi, 40mi, 115mi

Step-by-step explanation:

hope it helps :)

Answer:

256 ways i think maybe

Step-by-step explanation:

Answer:

Answer:

a) 12 'o' clock, b) 30 minutes c) you can do it your answer may differ

Step-by-step explanation:

a) look closely you will see it is 24 hours format, so it is proved she starts going to town at that that time

b) look you there is a downward movement of graph means it shows she is not travelling she is resting done let after 1500 or 3:00pm and before 1600 or 4:00pm point be 3:30 so till 3:30 to 4:00 rested in town

c) answer may differ

pls thank me and mark brainliest if you can

Answer:

.

Step-by-step explanation: