Eric´s mother drives to work in 20 min when driving at her usual speed. When traffic is bad, she drives 10 miles per hour slower, and the trip takes 10 minutes longer. What is Eric´s mother´s usual speed?

Answers

Answer 1

Answer:

30

Step-by-step explanation:

I could be wrong

Answer 2

The usual speed of Eric's mother is 4 miles per hour .

Eric´s mother drives to work in 20 min when driving at her usual speed.

Let the usual speed of Eric's mother be "u"  miles per hour (mph)

When the traffic is bad she drives 10 miles per hour slower.

The speed of Eric's mother when the traffic is bad = u-10 mph

The time taken by Eric's mother when the traffic is bad = 30 min

[tex]\rm Displacement = \dfrac{Velocity }{Time }[/tex]

The considering the displacement  in both  the cases is same hence we can

say that

[tex]\rm \dfrac{u}{20/60} = \dfrac{-(u-10)}{30/60} \\\rm 3u = -2u +20 \\5u = 20 \\u = 4[/tex]

So the usual speed of Eric's mother is 4 miles per hour .

For more information please refer to the link given below

https://brainly.com/question/23294846


Related Questions

A rectangle has a perimeter of 50 centimeters. If the width of the rectangle is 10 centimeters, what is its length?​

Answers

Answer:

15 cm

Step-by-step explanation:

The perimeter of a rectangle is 2(L + W), where L is length of the rectangle and W is the width.

If we plug in 10 for W, we get this:

2L + 2(10) = 50 <-- the perimeter

2L + 20 = 50

2L = 30

L = 15

It takes 3 gallons of gas to drive 102 miles. How many miles can be driven on 16 gallons of gas?

Answers

Answer:

544

Step-by-step explanation:

102 divided by 3 to find how many miles per gallon which is 34 then multiply by 16

Answer:

544

Step-by-step explanation:

102 divided by 3 to find how many miles per gallon which is 34 then multiply by 16 which is 544.

Write the equation of the function of a parabola with vertex at (–1,–2) and a point (1,–6) that lies on the curve.

Question 9 options:

f(x) = −(x − 1)2 − 2


f(x) = −(x + 1)2 − 2


f(x) = (x + 1)2 – 2


f(x) = (x − 1)2 − 2

Answers

Answer:

The second answer is the correct one, f(x) = -(x + 1)² - 2

Step-by-step explanation:

We know that the answer must either be the second or third, because those two have (x + 1) squared, which means that the vertex must have an x co-ordinate of -1.

We also know that the third one can't be correct, as the y-coordinate of -6 requires a negative coefficient of the x^2.  Without that the parabola would be moving upward from its vertex of (-1, -2).

With those we can eliminate all answers but the second one

Answer:

Step-by-step explanation:

Write the equation of the function of a parabola with vertex at (–1,–2) and a point (1,–6) that lies on the curve.

Question 9 options:

f(x) = −(x + 1)2 − 2

Alex drew the triangles shown. Which of the following correctly describes the triangles?

Answers

Answer: wheres the attachment..

Step-by-step explanation:

Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8

Answers

Solution :

Days :              0           1        2         3         4          5        6         7

Probability : 0.68     0.05   0.07   0.08   0.05    0.04   0.01    0.02

This is a valid probability distribution.

In the question it is given that call for a response of Y for short of a sample of people aged between 19 years to 25 years.

Also the event that describes the value of call for response greater than 3 i.e. (Y < 3) is a randomly chosen people between the age 19 to 25 years old who has gone to fitness center or did exercise fewer than 3 days.

Valid probability models add up to 1

The probability is a valid probability model

The probability model is given as:

Days :              0           1        2         3         4          5        6         7

Probability : 0.68     0.05   0.07   0.08   0.05    0.04   0.01    0.02

To determine if the model is a valid probability model, or not

We make use of:

[tex]\mathbf{\sum P(x) = 1}[/tex]

So, we have:

[tex]\mathbf{0.68 + 0.05 + 0.07 + 0.08 + 0.05 + 0.04 + 0.01 + 0.02 = 1}[/tex]

Add the probabilities

[tex]\mathbf{ 1= 1}[/tex]

The above equations shows that:[tex]\mathbf{\sum P(x) = 1}[/tex]

Hence, the probability is a valid probability model

Read more about probability models at:

https://brainly.com/question/9965602

Which expression is equivalent to the expression below? 7x+5y+x+x+x+x 7x+5y+x+x+x+x

Answers

the answer is 22x + 10y

Step-by-step explanation:

7x+7x+x+x+x+x+5y+5y+x+x+x+x = 22x + 10y

There are approximately 3.3 million births in a country each year. Find the birth rate in units of births per minute.

Answers

Answer:

8,760

Step-by-step explanation:

365 X 24

help please and u get a cookie

Answers

Answer:

im allergic to cookies

Step-by-step explanation:

Given r(x) = x2 - 4x2 + 4x – 6, find the value
of r(2). What does your answer tell you about x-2 as a
factor of r(x)? Explain.

Answers

Answer:

We are given r(x)Additionally we are given that x=2 Hence: 4-16+8-6=10

3. Graph the quadrilateral with the given vertices. Give the most descriptive name for the polygon. F(1,2). G(3,0), H(1,-2).

Answers

Answer:

Expand on the name.......

Ms. Davis is doing an activity with her statistics students where she gives them a 202020-question multiple choice test, and they know none of the answers. Students need to guess on every question, and each question has 555 possible choices, 111 of which is correct.
What are the mean and standard deviation of the number of questions that each student gets correct?
You may round your answers to the nearest tenth.

Answers

Answer:

The mean and standard deviation of the number of questions that each student gets correct are 4 and 1.789 respectively (

Answer: mean: 4

standard deviation: 1.79

Step-by-step explanation:

10.12 ÷ 4.4 =
A
0.23

B
2.3

C
5.72

D
57.2

Answers

Answer:

The answer is 2.3 B It is just by dividing

Answer:

B. 2.3

Step-by-step explanation:

Change the divisor 4.4 to a whole number by moving the decimal point 1 place to the right. Then move the decimal point in the dividend the same, 1 place to the right.

We then have the equations:

101.2 ÷ 44 = 2.3

and therefore:

10.12 ÷ 4.4 = 2.3

solve for y.
-13=4y+3​

Answers

Answer:

-13=4y+3 -3

-16=4y ÷4

-4=y

Step-by-step explanation:

hope it helps ^^

Answer:

y = -4

explenation in picture

In a survey of first graders, their mean height was 51.6 inches with a standard deviation of 3.6 inches. Assuming the heights are normally distributed, what height represents the first quartile of these students?

Answers

Answer:

Step-by-step explanation:

In a survey of first graders, their mean height was 51.6 inches with a standard deviation of 3.6 inches. Assuming the heights are normally distributed, what height represents the first quartile of these students?

54.03 inches

48.57 inches

48.00 inches

49.17 inches

Find the sum of the following series. Round to the nearest hundredth if necessary. 4 + 24 + 144 +... + 6718464​

Answers

Answer:

Your answer is 264

Step-by-step explanation:

A person invested $30,000 in stocks and bonds. Her investment in bonds is $3000 more than half her investment in stocks
How much did she invest in stocks? How much did she invest in bonds?

Answers

Answer:

He invested in stocks Say,  = x $

 He invested in bonds = (x/2)+6000

 So,

 x+ x/2 +6000=30000

 2x+x+12000=60000

 3x= 48000

x=16000

 Investment in stocks= 16000  $

Step-by-step explanation:

!!

Answer:

      $ 3 0 , 0 0 0  in Stocks

       $ 2 7 , 0 00  in Bonds

Step-by-step explanation:

        $ 3 0 , 0 0 0

      - $ 3 , 0 0 0

  _  _ _ _ _ _ _ _ _ _

         $ 2 7 , 0 0 0

6) Find the distance between -8 and 10.
) What is an expression that represents the
distance? Complete the expression.
1
-8
10
1
- 10 -8
What is the distance?
?
units

Answers

the distance is 18 units and the equation would be (-8 - 10)

Two buses leave towns 304 miles apart at the same time and travel toward each other. One bus travels 14 mih slower than the other. If they meet in 2 hours, what is the rate of each bus?

Answers

Answer:

The faster bus moves at 83mi/h and the slower one moves at 69mi/h.

Step-by-step explanation:

Let's define:

R₁ = rate of bus 1, this is the faster one.

R₂ = rate of bus 2, this is the slower one.

We know that one bus travels 14mi/h slower, then:

R₂ = R₁ - 14mi/h.

Now we know that:

Distance = Speed*Time.

If we add the distances that both busses travel in 2 hours, it should be equal to the initial distance between the buses, then:

R₁*2h + R₂*2h = 304 mi

Then we have the two equations:

R₂ = R₁ - 14mi/h

R₁*2h + R₂*2h = 304 mi

The first step is to replace the first equation in the second one, to get:

R₁*2h + (R₁ - 14mi/h)*2h = 304 mi

And now we can solve this for R₁.

R₁*2h + R₁*2h - 14mi/h*2h = 304 mi

R₁*4h - 28mi = 304mi

R₁*4h = 304mi + 28mi = 332mi

R₁ = 332mi/4h = 83mi/h

The faster bus moves at 83mi/h

And we know that the slower one moves at 14mi/h slower than this, then:

R₂ = R₁ - 14mi/h = 83mi/h - 14mi/h = 69 mi/h

Me ayudan porfavor no entendí

Answers

¿Qué no entiendes para que pueda ayudarte?

Answer:

Como puedo ayudar?

Step-by-step explanation:

Chose the ratio that forms a proportion with the ratio 3/8?​

Answers

Answer:

well i donk know

so but just trying to get points

Help me out please !!!!!!

Answers

Given:

A line segment AB on a coordinate plane.

The rule of translation is

[tex]f(x,y)\to (x-6,y-3)[/tex]

To find:

The coordinates of A' and B'.

Solution:

From the given graph, it is clear that the coordinates of A and B are A(1,3) and B(5,1).

The rule of translation is

[tex]f(x,y)\to (x-6,y-3)[/tex]

Using this rule, we get

[tex]A(1,3)\to A'(1-6,3-3)[/tex]

[tex]A(1,3)\to A'(-5,0)[/tex]

And,

[tex]B(5,1)\to B'(5-6,1-3)[/tex]

[tex]B(5,1)\to B'(-1,-2)[/tex]

Therefore, the coordinates of A' and B' are A'(-5,0) and B'(-1,-2).

32) Write a compound inequality that represents the given graph:



A. 6≤x 10
D. 6

Answers

Answer:

6 < x ≤ 10

Step-by-step explanation:

The graph given shows that the possible value of x greater 6 (does not include 6 because the circle is not full) and also is less than or equal to 10 (includes 10 because the circle is full).

That is: x > 6 and x ≤ 10

This can be written as: 6 < x ≤ 10

Systems of the Body Constructed Response
Several body systems must work together so that your body can use food for
energy and building material. Choose three body systems from the list below and
describe how those three body systems work together when you bite into a cookie
to change the cookie into a form that can be used by your body's cells.
Digestive
Circulatory
Endocrine
Excretory
Muscular
Nervous
Respiratory

Answers

Answer:

note: there may be other possible explanations and more body systems can be involved and I can go into much greater detail

1: Nervous system signals your muscles in mouth to abduct and adduct as well as your salivary glands to produce saliva to break down the food, as well as prepare the stomach to digest the food

2: Muscular system moves muscles in mouth to break food down into smaller pieces so there is greater surface area for digestive enzymes to work on the food, then muscles in oesophagus move food to stomach, where stomach muscles churn the broken down food around to speed up digestion

3: Digestive system releases numerous digestive enzymes into the food to break down lipids, carbohydrates and proteins. Small intestines absorb nutrients into bloodstream, and large intestine absorbs water.

4: Excretory system removes excess mostly dry waste through the anus as well as urine from ureter.

If x=-3 what does 6+5x

Answers

Answer:

-9

Step-by-step explanation:

Plug in -3 for the x value to get 6 + 5 (-3).  Multiply 5 by -3 to get -15 and subtract that number from 6 to get -9 as your final answer.

Three less than the quotient of a number and 4 is 13. What is the number? Let n be the unknown number

Answers

Answer:

64

Step-by-step explanation:

n/4-3=13

n/4=16

n=64

You bought a car that had factory installed tires marked as "P185 75/R14". You bought and installed tires on your car that are marked "P205 75/R14". What is the circumference of the P185 tire?
A) 24.93 inches
B) 27.93 inches
C) 78.31 inches
D) 81.99 inches

Answers

D is the right answer I think

Help pls ill give Brainlyest to the one who does it step by step.

Answers

Answer:

12.8% decrease

Step-by-step explanation:

if you find the unit rate for the sale, which would be 125 cents divided by 3 cans, equals around 43.6 cents per can. 43.6 cents is an x% decrease of 50 cents, and to find x easily i multiplied by 2. 43.6 x 2=87.2, and 50 x 2 = 100. that means that the sale price is 87.2 % of the original price, which is a 12.8% decrease.

There are 15 pieces of fruit in a bowl and 3 of them are apples. What percentage of the
pieces of fruit in the bowl are apples?
a.
3%
c.
20%
b.
15%
d.
40%
Work Space

Answers

Answer:

c. 20%

Step-by-step explanation:

3/15=1/5

1 divided by 5 = .2

Move decimal point 2 times to get percent.

20%

1.Interest rate=7%p.a.Find the interest of Rs 200 for years.
2.Interest rate=11%p.a.Find the interest of Rs 2000 for years.

Answers

Step-by-step explanation:

Question does not specify how many year and is in plural form considering the level of question I will consider it is some typo error and is just 1 year

Step 1

Finding Intrest for Rs200

We have

Principal(P) = Rs 200

Rate (R) = 7%pa

Time (T) = 1year

Intrest(I) =?

We have ,

I =PTR/100

=200*7/100

=Rs 14

Step 2

Finding intrest for Rs2000

Given

Principal(P)=Rs2000

Rate(R) =11%

Time(T) =1 year

Intrest(I) =?

We know,

I =PTR/100

=2000*11/100

= 20*11

=Rs 220

No idea how to do this o

Answers

Answer:

f(4) = 6

Step-by-step explanation:

When you have a function f(x) the number inside the parenthesis is the x value. In this case its 4. So the function value for f(4) is 6 because that is where the line is at x = 4

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