A car in rush hour traffic travels 1/2 of a mile in 1/8 of an hour. If the car continues to travel at the same rate, how many miles will it travel in 1 hour.

Answers

Answer 1
1/2 mile every 1/8 hour
Multiply by 8.
8/2 miles in 8/8 hours
4 miles per hour.

Related Questions

You spin the spinner and flip a coin find the probability of the compound event only number 3 and 4

Answers

3. 4/7 because you put favorable over possible favorable meaning what could happen and possible meaning how many things you are testing

4. 5/7 because it says NOT spinning a 5 which is 4 plus flipping tails is 5 and your possible outcome would would be the same as number 3.

A spinner is spun 300 times and stops on C 95 times. Calculate the experimental probability of the spinner stopping on C.

Answers

it would be 32% or 32/100

Answer:

19/60

Step-by-step explanation:

The area of this rectangle is 5x2. What does the coefficient 5 mean in terms of the problem?

Answers

5 represents one of the dimensions of the rectangle, either length or width.

Answer: The length is 5 times the width


Step-by-step explanation:

Given: The area of rectangle = [tex]5x^2=(5x)(x)[/tex]

Here x must be a positive real number since it can not be negative.

Also for area of rectangle =[tex]length \times width[/tex]

And length is always greater than width of rectangle, therefore in the given expression 'x' must be width and '5x' must be length of rectangle .

[∵ for every positive x , 5x>x]

Hence, the coefficient 5 means the length is 5 times the width.

Eli, Freda and Geoff were given £800 to share in the ratio of their ages.
Eli is 9 years old,Feda is 13 years old and Geoff is 18 years old.
How much should they each get?
Eli-
Freda-
Geoff-

Answers

First, we are going to find the sum of their age. To do that we are going to add the age of Eli, the age Freda, and the age of Geoff:
[tex]9+13+18=40[/tex]
The combined age of Eli, Freda, and Geoff is 40, so the denominator of each ratio will be 40.

Next, we are going to multiply the ratio between the age of the person and their combined age by £800:
For Eli: [tex] \frac{9}{40} *800=180[/tex]
For Freda: [tex] \frac{13}{40} *800=260[/tex]
For Geoff: [tex]\frac{18}{40} *800=360[/tex]

We can conclude that Eli will get £180, Freda will get £260, and Geoff will get £360.

Final answer:

Calculate how £800 should be divided among Eli, Freda, and Geoff based on their ages.

Explanation:

Ratio of ages: 9:13:18 = 9/40 : 13/40 : 18/40

Total amount: £800

Eli: £200

Freda: £290

Geoff: £410

help me? Answers por favor ?

Answers

6. complementary is they add to 90 degrees, a right angle.
4x+50=90.
90-50=4x
40=4x
x=10

7. theyre suplementary, they add to 180 degress, a straight line.
 42+6x=180
6x=180-42
6x=138
x=23

8-10, Do i state them all or just some. (Im going to name just 1 or 2)

8. angle AKB and BKG, angle CGD and CGJ
9.CGK and KGJ
10. DGE and KGJ

PLEASE HELP AND FAST, 15 POINTS! In the coordinate plane shown, how far apart are points B and D? Explain how you can use the Pythagorean theorem to determine this.

Answers

5 to the power of 2 = 25
9 to the power of 2 = 81
25 + 81 = 106
Square root of 106 = 10.29563
If you round it to the nearest hundredth, it will become 10.30
If you round it to the nearest tenth, it will become 10.3

Solve the Systems of equations algebraically

4x+5y=15
-4x+6y+7

Answers
A- (5/4, 2)
B- (2, 5/4)
C- (4/5,2)
D (2, 4/5)

Answers

STEP 1:
4x + 5y= 15
-4x + 6y= 7
add the two above equations; the x term cancels out; solve for y

11y= 22
divide both sides by 11

y= 2


STEP 2:
substitute the y value in step 1 into either original equation

4x + 5y= 15
4x + 5(2)= 15

4x + 10= 15
subtract 10 from both sides

4x= 5
divide both sides by 4

x= 5/4


ANSWER: (A) x= 5/4, y= 2 or (5/4, 2)

Hope this helps! :)

four times the sum of a number and 2/3 is 16/3. find the number. express your answer as a fraction in simplest form

Answers

times= multiply
sum= addition
is= equal sign

x= a number

4 times x plus 2/3 equals 16/3.


4x + 2/3= 16/3
subtract 2/3 from both sides

4x= 14/3
divide both sides by 4

x= 14/3 ÷ 4
to divide fractions, multiply by reciprocal/inverse of 4

x= 14/3 * 1/4
multiply numerators (top); multiply denominators (bottom)

x= (14*1)/(3*4)
x= 14/12
simplify by 2

x= 7/6


ANSWER: The number in simplest form is 7/6.

Hope this helps! :)

the initial number of bacteria in a culture is 12,000. the xulture doubles each day write an exponential functin to model the population Y of bacteria after X days

Answers

The equation would be y=12000(2)ˣ.

This equation is of the form y=a*bˣ, where a is the initial population and b is the rate that it increases by.  In this problem, a = 12000 and b=2, since it doubles each time.

Answer:

[tex]Y = 12,000 \cdot (2)^X[/tex]

Step-by-step explanation:

The exponential function is given by:

[tex]y =a \cdot b^x[/tex]

where,

a is the initial values and b is the growth factor.

As per the statement:

The initial number of bacteria in a culture is 12,000.

⇒Number of bacteria initially(a) = 12,000

It is also given that the culture doubles each day.

⇒ growth factor [tex]b= 2[/tex]

We have to find the exponential function to model the population Y of bacteria after X days.

By definition of exponential function:

[tex]Y = 12,000 \cdot (2)^X[/tex]

where, x represents the days and Y is the population after X days.

Therefore,  an exponential function to model the population is,

[tex]Y = 12,000 \cdot (2)^X[/tex]

the larger of two numbers is 1 more than 3 times the smaller. the diffrence is between 8 time the smaller and 2 tmies the larger is 10 find the numbers

Answers

Let the two numbers be x and y, with y being larger than x.
Then y=3x+1.
Also, 8x-2y= 10.

The first equation has already been solved for y.  Substitute 3x+1 for y in the second equation:

8x-2(3x+1)=10, or 8x - 6x - 2 = 10,  or  2x  = 12 and x = 6.

If x = 6, then by the first equation y must be 3(6)+1, or 19.

The numbers are 6 and 19.

A container of 8 metal beams weighed one fourth of a ton. If every beam weighed the same amount, how heavy was each?

Answers

The correct answer for this question is 500 pounds

which recursive formula can be used to reresent the sequence 2,6,10,14,18

1. a = 0
1
a = a + 4
n n-1


2. a = 2
1
a = a +4
n-1 n

3. a = 2
1
a = a -4
n n-1

4. a = 2
1
a = a +4
n n-1

Answers

Answer:

[tex] 4.\\\left\{\begin{array}{ccc}a_1=2\\a_n=a_{n-1}+4\end{array}\right\\\\check\\\\a_2=a_1+4\to a_2=2+4=6\\\\a_3=a_2+4\to a_3=6+4=10\\\\a_4=a_3+4\to a_4=10+4=14\\\\a_5=a_4+4\to a_5=14+4=18 [/tex]

Part 1: Solve the system by graphing. Draw the graphs on paper and indicate their intersection point. Type the ordered pair solution here as your answer to Part 1.
Part 2: Solve the system using the substitution method. Show all work here and indicate the solution for the system as an ordered pair.
Part 3: Solve the system using the addition method. Show all work here and indicate the solution for the system as an ordered pair.

2x+3y=6

x-2y=10

Answers

Part (1):
The graph is shown in the attached image.
As we can note from the graph, the solution of the system of equations is indicated by the point of intersection between the two lines which is (6,-2)

Part (2):
The equations given are as follows:
2x + 3y = 6 ...........> equation I
x - 2y = 10
which can be rewritten as:
x = 2y + 10 ...........> equation II

Substitute with equation II in equation I and solve for y as follows:
2x + 3y = 6
2(2y+10) + 3y = 6
4y + 20 + 3y = 6
7y = 6 - 20
7y = -14
y = -2

Substitute with y in equation II to get x as follows:
x = 10 + 2y 
x = 10 + 2(-2)
x = 10 - 4
x = 6

The solution is (6,-2)

Part (3):
The equations given are:
2x + 3y = 6 .............> equation I
x - 2y = 10 ...........> equation II

Multiply equation II by -2, this will give:
-2x + 4y = -20 ............> equation III

Add equation I and equation III as follows:
                                       2x + 3y = 6
                                +    -2x + 4y = -20
                           .........................................
                                       0x + 7y = -14
7y = -14
y = -2

Substitute with y in equation II to get x as follows:
x - 2y = 10
x - 2(-2) = 10
x + 4 = 10
x = 10 - 4
x = 6

The solution is (6,-2)

Hope this helps :)


Suppose you have $16,000 to invest in three stocks, A, B, and C. Stock A is a low-risk stock that has expected returns of 4%. Stock B is a medium-risk stock that has expected returns of 5%. Stock C is a high-risk stock that has expected returns of 6%. You want to invest at least $1,000 in each stock. To balance the risks, you decide to invest no more than $7,000 in stock C and to limit the amount invested in C to less than 4 times the amount invested in stock A. You also decide to invest less than twice as much in stock B as in stock A. How much should you invest in each stock to maximize your expected profit? Complete the constraints.

Answers

Answer:

Stock A: 1

Stock B: 1 and y=2

Stock C: 1, 7, 4

Final answer:

To maximize expected profit, you need to determine the amount to invest in stocks A, B, and C while considering the given constraints.

Explanation:

To invest in each stock to maximize expected profit, we need to determine the amount to invest in stocks A, B, and C while considering the given constraints.

Let's denote the amount invested in stock A as x, in stock B as y, and in stock C as z.

The constraints are as follows:

At least $1,000 should be invested in each stock: x > $1,000, y > $1,000, z > $1,000No more than $7,000 should be invested in stock C: z < $7,000The amount invested in C should be less than 4 times the amount invested in A: z < 4xThe amount invested in B should be less than twice the amount invested in A: y < 2x

To maximize expected profit, we need to maximize the sum of the expected returns from each stock:

Expected profit = 0.04x + 0.05y + 0.06z

By solving the constraints and optimizing the expected profit function, we can find the optimal values for x, y, and z.

watts,volts and amps are used to measure electricity. there is a formula that shows the relationship between watts,volts and amps. volts times amps = watts . if the volts are 120 and the amps are 5 how many watts are there?

Answers

VA=W
120(5)=W
600=W
600 Watts
Final answer:

The number of watts for a circuit with 120 volts and 5 amps is 600 watts.

Explanation:

The formula for calculating the power in an electrical circuit is: Power (P) = Voltage (V) × Current (I).

To calculate the number of watts, we can substitute the given values into the formula:
Volts (V) = 120
Amps (I) = 5

Therefore, the number of watts (P) = 120 V × 5 A = 600 W.

Help with question 12 please

Answers

I really don’t know I’m so sorry hope someone will help
Daniel's Train: 1:45 + 12 min = 1:57
Teri's Train: 2:35 - 20 min = 2:15
Time between 1:57 and 2:15 is 13 minutes

Which of the following sequences is not arithmetic?

a.1, 2, 3, 4, ...
b.2, 4, 6, 8, ...
c.0, -2, -4, -6, ...
d.1, 4, 9, 16, ...

Answers

Answer: Choice D

===========================

A is arithmetic since we add 1 each time. The common difference is d = 1
B is arithmetic because the common difference is d = 2
C is arithmetic because d = -2 is the common difference
D is not arithmetic. The jump from 1 to 4 is +3 while the jump from 4 to 9 is +5

Answer:

1, 4, 9, 16, ...

Step-by-step explanation:

please help and hurry

it’s not the one i picked

Answers

using the Pythargorean theoem

a^2 + b^2 = c^2

2^2 + 2^2 = c^2

4 + 4 = c^2
8 = c^2
c = sqrt(8)
 the answer would be D

a^2+b^2=c^2
2^2+2^2=c^2
4+4=c^2
8+c^2
put 8 through the square root so the answer would be D

according to the graph what is the value of the constant in the equation below rewritten in

Answers

B. 80 My work is shown in the picture above.

Answer:

The answer to this is B. 80

can somebody help me please this is my last question i need to submit this!! help!!

Answers

Both the vertical and horizontal cross-section would be a square.  The cross-sections are the same because all of a cube's dimensions are the same.  A cube is made up of 6 congruent square faces.

Julie has two formal events to go to--one for her work and one for her partner's work. She has six formal dresses--two blue ones, one black, one red, and two white. Since the same people will not be at the two events she is okay wearing the same dress. She finds the probabilty that she wears a blue and a red dress as p(blue and red) = 2 6 · 1 6 . What do you know about the two events

Answers

The two events are independent.

Since she is not concerned with wearing the same dress more than once, we are essentially selecting the dresses with replacement.  The probability further shows this; there are 2 blue dresses out of 6, and 1 red dress out of 6.  Since we use 2/6(1/6) for the probability, this means the dress was selected with replacement, so they are independent.

Answer:

The two events are independent.

She used the multiplication rule to calculate the probability. Since she is okay wearing the same dress to the two events they are independent.

Step-by-step explanation:

what's the answer to this?

Answers

The measure of the side length of the right triangle is 20.

What is the measure of the missing side length?

A tangent makes an angle of 90 degrees with the radius of a circle.

Therefore, the triangle formed is a right triangle.

From the diagram:

Leg 1 = 12

Leg 2 = 16

Hypotenuse =?

To find the hypotenuse, we use the Pythagoras theorem:

(Hypotenuse)² = ( Leg 1 )² + ( Leg 2 )²

(Hypotenuse)² = ( 12 )² + ( 16 )²

(Hypotenuse)² = 144 + 256

(Hypotenuse)² = 400

Take the square roots of both sides:

Hypotenuse = √400

Hypotenuse = 20

Therefore, the side length measures 20 units.

Option C) 20 is the correct answer.

The complete question is:

Find the missing line segment in the diagram.

Learn more about Pythagorean theorem here: brainly.com/question/343682

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Help with all of them please

Answers

Your answers are:
1. B
2. A
3. 1.5
4. D
Tell me if you want to see the work.

Which characteristics best describe an obtuse isosceles triangle? I. One angle is greater than 90°. II. All side lengths are equal. III. Two sides meet at a 90° angle. IV. Two sides are equal in length. A. I and IV B. II and III C. I and II D. III and IV

Answers

An obtuse triangle is a triangle that has an angle greater than 90 degrees, so 1. One angle is greater than 90 degrees is correct.

An obtuse isosceles triangle is defined as a three-sides triangle shape that has one angle (out of three angles) more than 90 degrees and whose two sides are always congruent that includes obtuse angle in between. So it will follow :-

⇒ Obtuse means "one angle is greater than 90 degrees".

⇒ Isosceles means "Two sides are equal in length".

So, option A is correct, i.e. statements I and IV.

What is the solution of x+8/5x-1>0 ?

Answers

x + [tex] \frac{8}{5} [/tex]x - 1 > 0

First combine like-terms (x + [tex] \frac{8}{5} [/tex]x).
2.6x - 1 > 0

Add 1 to both sides.
2.6x > 1

Divide both sides by 2.6 to isolate x.
x > 0.38

Answer:

Step-by-step explanation:

Three out of 4 students made an A on the last arithmetic test. If there are 32 students how many students made an A

Answers

The answer is 24 students

24 students made an A in the last arithmetic test.

What is the ratio?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. An equation with two ratios set equal to one another is called a percentage.

Given, Three out of 4 students made an A on the last arithmetic test.

out of 4 students, the student gets an A = 3

out of 1 student get A = 3/4

Since there are 32 students in total

out of 32 students, the student gets A = 3/4 * 32

out of 4 students, the student gets an A = 24

therefore, out of 32 students, there are 24 students who got A's.

Learn more about ratios here:

https://brainly.com/question/13419413

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A study is created in which the participants were randomly assigned to groups for different treatments. Which best describes the reason this was done?

 A. It allows us to see the true nature of any effects of different treatments.
 
B. It allows us to determine if the treatment effect is significantly different from the placebo effect.
 
C. It allows us to distinguish among the effects of different factors.
 
D. It allows us to use chance as a way to create groups that are similar to the population.

Answers

The correct answer is D) it allows us to use chance to create groups that are similar to the population.

For any study, the sample you use needs to be representative of the population.  Using chance helps this process.

Answer:

D) it allows us to use chance to create groups that are similar to the population.

Step-by-step explanation:

A study is created in which the participants were randomly assigned to groups for different treatments. This was done as it allows us to use chance to create groups that are similar to the population.  

Random assignment is the use of chance, to make sure that every participant has the same chance to be selected in groups. These divided groups can be experimental groups or treatment groups.

I need help on these problems

Answers

Hope this helps and hope you can read it, if not let me know :)

What is the coefficient of y in the expression 3 ⋅ 6 + 4y?

Answers

4 is the answer
Hope this helps:)

Answer:

Sorry I'm late, but I think the answer is D.

Step-by-step explanation:

what equation results from completing the square and then factoring.

Answers

The answer is D (x+11)^2=152
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