Aya and Mary are 12 miles apart on a path when they start moving toward each other.
Aya runs at a constant speed of 5 miles per hour, and Mary walks at a constant speed
of 3 miles per hour. How long does it take until Aya and Mary meet?
Pleaseee help

Step-by-step explanation:

y = kx, where k is a real constant.

When x = 0.4, y = 4.

=> (4) = (0.4)k, k = 10.

Hence when x = 5,

y = kx = (10)(5) = 50.

The answer is 50.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the inequality

-2x < 10

-6 < -2x

Part a) Is x = 0 a solution to both inequalities

FOR  -2x < 10

substituting x = 0 in -2x < 10

-2x < 10

-3(0) < 10

0 < 10

TRUE!

Thus, x = 0 satisfies the inequality -2x < 10.

∴ x = 0 is the solution to the inequality -2x < 10.

FOR  -6 < -2x

substituting x = 0 in -6 < -2x

-6 < -2x

-6 < -2(0)

-6 < 0

TRUE!

Thus, x = 0 satisfies the inequality -6 < -2x

∴ x = 0 is the solution to the inequality -6 < -2x

Conclusion:

x = 0 is a solution to both inequalites.

Part b) Is x = 4 a solution to both inequalities

FOR  -2x < 10

substituting x = 4 in -2x < 10

-2x < 10

-3(4) < 10

-12 < 10

TRUE!

Thus, x = 4 satisfies the inequality -2x < 10.

∴ x = 4 is the solution to the inequality -2x < 10.

FOR  -6 < -2x

substituting x = 4 in -6 < -2x

-6 < -2x

-6 < -2(4)

-6 < -8

FALSE!

Thus, x = 4 does not satisfiy the inequality -6 < -2x

∴ x = 4 is the NOT a solution to the inequality -6 < -2x.

Conclusion:

x = 4 is NOT a solution to both inequalites.

Part c) Find another value of x that is a solution to both inequalities.

solving -2x < 10

[tex]-2x\:<\:10[/tex]

Multiply both sides by -1 (reverses the inequality)

[tex]\left(-2x\right)\left(-1\right)>10\left(-1\right)[/tex]

Simplify

[tex]2x>-10[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}>\frac{-10}{2}[/tex]

[tex]x>-5[/tex]

[tex]-2x<10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>-5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-5,\:\infty \:\right)\end{bmatrix}[/tex]

solving -6 < -2x

-6 < -2x

switch sides

[tex]-2x>-6[/tex]

Multiply both sides by -1 (reverses the inequality)

[tex]\left(-2x\right)\left(-1\right)<\left(-6\right)\left(-1\right)[/tex]

Simplify

[tex]2x<6[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}<\frac{6}{2}[/tex]

[tex]x<3[/tex]

[tex]-6<-2x\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:3\right)\end{bmatrix}[/tex]

Thus, the two intervals:

[tex]\left(-\infty \:,\:3\right)[/tex]

[tex]\left(-5,\:\infty \:\right)[/tex]

The intersection of these two intervals would be the solution to both inequalities.

[tex]\left(-\infty \:,\:3\right)[/tex]  and [tex]\left(-5,\:\infty \:\right)[/tex]

As x = 1 is included in both intervals.

so x = 1 would be another solution common to both inequalities.

FOR  -2x < 10

substituting x = 1 in -2x < 10

-2x < 10

-3(1) < 10

-3 < 10

TRUE!

Thus, x = 1 satisfies the inequality -2x < 10.

∴ x = 1 is the solution to the inequality -2x < 10.

FOR  -6 < -2x

substituting x = 1 in -6 < -2x

-6 < -2x

-6 < -2(1)

-6 < -2

TRUE!

Thus, x = 1 satisfies the inequality -6 < -2x

∴ x = 1 is the solution to the inequality -6 < -2x.

Conclusion:

x = 1 is a solution common to both inequalites.

Answer:

t=0

Step-by-step explanation:

The first thing you want to do is isolate the varible t. So you going to subrtact the 45 from both sides, which leaves you with, 5t=0. Next you are going to divide 5 from both sides, which leaves you with t=0. To make sure its right, plug it in. 45+5(0)=45. 45=45.

Answer:

x = 10

Step-by-step explanation:

DE is the midsegment joining the midpoints of BC and AC respectively.

Therefore, by the property of midsegment of a triangle,

DE will be parallel and half of the measure of the third side of the triangle.

DE = [tex]\frac{1}{2}(AB)[/tex]

5 = [tex]\frac{x}{2}[/tex]

x = 10 units

Answer:

A , E, F

Step-by-step explanation:

Three statements are true based on the graph the correct options are D, E,F

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units of time, then that object's speed is

[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]

For option D, we can see in the graph the bus has completed 200 miles of distance between the 2nd and 3rd hour. So, there are more than 3hours remaining, and option D is correct

For option E, it is clear from the graph that after 4 hours the distance traveled by the bus is 130miles

For option F; the distance traveled in first 4 hours= total distance from home - remaining distance after 4 hours

310-130=180miles

time= 4hours

speed=distance/time

speed= 180/4= 45miles per hour

hence, D, E,F are true

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Answer:

14

Step-by-step explanation:

Answer/Step-by-step explanation

1. When adding real numbers with the same sign the sum will have the same sign as the numbers added.

2. When adding real numbers with different signs you subtract the lesser absolute value from the greater one. The sum will then have the same sign as the number with the greater absolute value.

3. There are a couple of properties of addition:

The additive commutative property tells us that the order in which you add the numbers does not change the sum.

4. And the additive associative property tells us that it also that the order in which we group three or more numbers does not affect the sum.

5. The additive identity property tells us that the sum of a number and 0 is always the number.

6. And the additive inverse property tells us that if you add a number with its opposite you will always get 0

Answer:

x = -3, y = -0.512

x = -1, y = -3.2

x = 0, y = -8

x = 2, y = -50

Step-by-step explanation:

Answer:

the answer is 6

hope it helps

Answer:

15 possible combinations

Step-by-step explanation:

In order to find the total number of combinations possible, we need to multiply the total number of different colors by the total number of storage capacities that each phone can have. Using the values provided we would get the following arithmetic expression...

5 colors * 3 capacities = 15

Therefore, we can see that there are a total of 15 possible combinations with these variations.

Answer:

12/20

60%

Step-by-step explanation:

A fraction has a numerator and denominator

The numerator is the total number of heads

The denominator is the total number of times the coin was flipped

[tex]\frac{12}{20}[/tex]

To express in percent form, multiply by 100

[tex]\frac{12}{20}[/tex] x 100 = 60%

Answer:

[tex]S_9 = 442845[/tex]

Step-by-step explanation:

Given

[tex]Sequence: 45,135,405,1215,3645[/tex]

Required:

The sum of the first 9 terms

We'll solve this question using the explicit formula:

Because it is a geometric sequence, we first calculate the common ratio (r).

[tex]r = \frac{T_n}{T_{n-1}}[/tex]

Let n = 2;

So, we have:

[tex]r = \frac{T_2}{T_{2-1}}[/tex]

[tex]r = \frac{T_2}{T_1}[/tex]

[tex]T_2 = 135; T_1 = 45[/tex]

So, we have:

[tex]r = \frac{135}{45}[/tex]

[tex]r = 3[/tex]

Explicitly, the sum of  n terms of a geometric sequence is:

[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]

[tex]a = T_1 = 45[/tex]

[tex]r = 3[/tex]

[tex]n = 9[/tex]

The formula becomes:

[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]

[tex]S_9 = \frac{45* (3^9 - 1)}{3 - 1}[/tex]

[tex]S_9 = \frac{45* (3^9 - 1)}{2}[/tex]

[tex]S_9 = \frac{45* (19683 - 1)}{2}[/tex]

[tex]S_9 = \frac{45* (19682)}{2}[/tex]

[tex]S_9 = 45* 9841[/tex]

[tex]S_9 = 442845[/tex]

Hence, the sum of the first 9 terms is 442845

Answer:

It's either 400 or 1,200.

Step-by-step explanation:

Other people are saying 400, I got 1,200 by multiplying 1,600 to 0.75 which gave me that answer. I do not know how other people got 400.

Answer:

the distance between the two points is 10

Answer:

C

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

[tex](7x - 7) \degree = (6x + 11) \degree \\ (exterior \: alternate \: \angle s) \\ \\ 7x - 7 = 6x + 11 \\ \\ 7x - 6x = 11 + 7 \\ \\ x = 18[/tex]

Answer:

False

Step-by-step explanation:

They just don't :)

Answer:

False

Step-by-step explanation:

Trust me

Answer:

x = -6

-18+4y=0 => 4y=18 =>y=18/4=9/2

Y=5

3x+20=0 => x=3x= -20=> x= -20/3

Step-by-step explanation:

The value of the given expression is -38.

Simplify fractions by cancelling all the common factors from both the numerator and the denominator and writing the fraction in its lowest/simplest form.

Given an expression, 3x + 4y

Putting x = -6 and y = -5, we get,

3x(-6) + 4x(-5)

= -18-20

= -38

Hence, The value of the given expression is -38.

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Answer:

SAS

Step-by-step explanation:

ok so there is one angle and 2 sides

Answer:

if 90% = $36

100%= ?

100%×$36

90%

3600 = $40

90

Step-by-step explanation:

you use the method of cross multiplying

Answer:

5

Step-by-step explanation:

Answer: Multiply 12 and 5 (by the same number) and add them to get whatever total ml of crayon wax is specified.

Ex: Total ml divided by 17, then find how many parts are red(12ml) and white(5ml)

Step-by-step explanation:

Answer:

x²y²z is the Greatest Common Factor

Therefore,

6x³y²z⁴ - 7x²y⁵z = x²y²z (6xz³ - 7y³)

Step-by-step explanation:

Given the expression

6x³y²z⁴ - 7x²y⁵z

The first step is to factor out the greatest common factor from each term

6x³y²z⁴ = 2 · 3 · 6 · x · x · x· y · y · z · z · z · z

7x²y⁵z =  7 · x · x · y · y · y· y · y · z

So

G.C.F = x · x . y · y . z

G.C.F = x²y²z

Thus, x²y²z is the Greatest Common Factor

Therefore,

6x³y²z⁴ - 7x²y⁵z = x²y²z (6xz³ - 7y³)

Answer:

1/5 is a rational number

Step-by-step explanation:

"In mathematics, a rational number is a number such as -3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1."

Answer:  -5  + (10) = 5

Step-by-step explanation:

keep change flip -5 - (-10) you get -5 + (10) = 5

Answer:

270

Step-by-step explanation:

108 divided by 24 is 4.5. 4.5 is how many gallons per hour. then, 4.5 times 60 equals 270.

Answer: 1.92

Step-by-step explanation:

Formula to find the mean absolute deviation:

[tex]MAD =\sum^{n=i}_{n=1}\dfrac{|x_i-\overlien{x}|}{n}[/tex]

, where [tex]\overline{x}=[/tex] mean , [tex]x_i's[/tex] = data values, n= number of data values.

Given data: 5,9,7,0,3,5,5

n= 7

Mean:

[tex]\overline{x}=\dfrac{5+9+7+0+3+5+5}{7}\\\\=\dfrac{34}{7}[/tex]

MAD = [tex]\dfrac {|5-\dfrac{34}{7}|+|9-\dfrac{34}{7}|+|7-\frac{34}{7}|+|0-\dfrac{34}{7}|+|3-\dfrac{34}{7}|+|5-\dfrac{34}{7}|+|5-\dfrac{34}{7}|}{7}[/tex]

[tex]=\dfrac{\frac17+\frac{29}{7}+\frac{15}{7}+\frac{34}{7}+\dfrac{13}{7}+\frac17+\frac17}{7}\\\\=\dfrac{\frac{94}{7}}{7}\\\\=\dfrac{94}{49}\approx1.92[/tex]

Hence, the  mean absolute deviation of 5,9,7,0,3,5,5 is 1.92(approx)