Linda left home and drove for 2 hours. She stopped for lunch then drove for another 3 hours at a rate that is 10 mph higher than the rate before she had lunch. If the total distance Linda traveled is 250 miles, what was the rate before lunch

Answers

Answer 1

Answer:

44 mph

Step-by-step explanation:

Given that:

Before lunch :

Time taken = 2hrs ; at speed = x mph

After lunch :

Time taken = 3hrs ; at speed = x + 10 mph

Total distance covered = 250 miles :

Distance = speed * time

(2 * x) + (3 * (x + 10)) = 250

2x + 3x + 30 = 250

5x + 30 = 250

5x = 250 - 30

5x = 220

x = 220/ 5

x = 44 mph

Rate before lunch is 44mph


Related Questions

Would the circled area be an interior or exterior angle? Pls help!!!

Answers

Answer:

interior angle

Step-by-step explanation:

find the value of each expression in lowest terms

-8 1/2 + 4 1/14

Answers

Answer:

The answer to -8 1/2 + 4 1/14 = -4 3/7

Hope this helps :-)

Answer:

−4 21/50

Step-by-step explanation:

might be wrong

Tara wants to attend a four-year college to become a math teacher. Which statements explain the possible differences in total yearly cost for attending a public college in state and public college out of state? Check all that apply.


A - A public college out of state will have fewer transportation costs than a public college in state.


B - A public in-state college charges less for in-state tuition than for out-of-state tuition.


C - Books and fees will generally cost more at a private college than a public college.


D - Tara will most likely have to pay room and board expenses at an out-of-state public college, but might be able to commute to a public college in state.


E - All the extra fees besides tuition are different for in-state and out-of-state public colleges.

Answers

Answer:

- A public in-state college charges less for in-state tuition than for out-of-state tuition.
- Tara will most likely have to pay room and board expenses at an out-of-state public college, but might be able to commute to a public college in state.

Explanation:
If Tara wants to study out of state she could face higher tuition costs; public universities generally favor their residents with lower tuition costs, contrary to the charge for students who comes from other states.
Also, if she wants to study outside the state, Tara would have to analyze the costs of a residence and food that she will have to cover if she studies outside the state. On the contrary, if she studies in the state she could live with her family and only cover the transportation costs.

hope this helps!

Answer:

D

Step-by-step explanation:

i dont know how to explain it im just rlly use to this type of math so sorry but its D. :)

If the 4th and 7th terms of a G.P are −1/2 and
− 4, respectively, then find G5 and S6 .​

Answers

Answer:

G5 = -1

S6 = -63/16

Step-by-step explanation:

The formula for finding the nth term of a GP is Tn = ar^n-1

a is the first term

r is the common ratio

n is the number of terms

If the 4th term is -1/2

T4 = ar^4-1

T4 = ar³ = -1/2.... 1

If the 7th term is -4

T7 = ar^7-1

T7 = ar^6 = -4.... 2

Divide both equation

ar^6/ar³ = -4/(-1/2)

r³ = -4×-2

r³ = 8

r = 2

Common ratio is 2

Since ar³ = -1/2

a(2)³ = -1/2

8a = -1/2

a = -1/16

The first term is -1/16

Get the fifth term G5

G5 = ar⁴

G5 = (-1/16)(2)⁴

G5 = (-1/16)(16)

G5 = -1

Get the sum of the first six terms S6

S6 = a(r^n-1)/r-1

S6 = -1/16(2^6-1)/2-1

S6 = -1/16(64-1)

S6 = -63/16

Hence the sum of the first six terms is -63/16

Is the following relation a function?

1) Yes
2) No

Answers

To figure out if the given relation is a function, we first need to know what a function is:

Function: A relation which relates the element x of set X with a single element of set Y

which means that every value of x can give only one value of y

but we can clearly see from the provided diagram that 5 has 2 possible outputs. Hence, the given relation is NOT a function

1. Fill in the missing numbers in these equations
a. −2•(−4.5) =?
b. (−8.7)•(−10) =?
c. (−7)•?= 14
d. ?•(−10) = 90

Answers

Answer:

a. 9 b. 87 c.2 d. -9

Step-by-step explanation:

The team practices 5.040
minutes during the season
Part B
There are 192 players in the soccer League There are 16 players on each
team Fiow many teams are there in the soccer league? Show your work
There are
teams in the league.

Answers

Answer: the answer would be 12

Step-by-step explanation: it would be 12 because you are dividing the number uf players by the number of players on each team


ABCD is a parallelogram. If m

Answers

Um please continue the question, thanks!

A probability experiment is conducted in which the sample space of the experiment is S= {6,7,8,9,10,11,12,13,14,15,16,17.Let event E={6,7,8,9,10,11,12,13} Assume each outcome is equally likely. List the outcomes in Ec. Find P (Ec)

Answers

Answer: [tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

Given: S = {6,7,8,9,10,11,12,13,14,15,16,17}

E={6,7,8,9,10,11,12,13}

[tex]E^c=[/tex] Event having all elements of S other than E.

[tex]={14, 15 , 16, 17}[/tex]

[tex]P(E^c)=\dfrac{\text{Elements in }E^c}{\text{Elements in }S}\\\\=\dfrac{4}{12}\\\\=\dfrac{1}{3}[/tex]

Hence, [tex]P(E^c)=\dfrac{1}{3}[/tex]

For a random sample of Harvard University psychology majors, the responses on political ideology had a mean of 3.18 and standard deviation of 1.72 for 51 nonvegetarian students and a mean of 2.22 and standard deviation of .67 for the 20 vegetarian students. When we use software to compare the means with a significance test, we obtain the following printout.Variances T DF Prob>|T|Unequal 2.9146 41.9 0.006Interpret the P-value, in context, based on its definition.

Answers

Answer:

From the test give in the question it is obvious that  there is enough evidence to show that population mean varies for vegetarian and non-vegetarian

The P-value helps affirm the null hypothesis claims,The P-value attains  values relatively as large as that which exists in the sample given,if the null hypothesis is right

Step-by-step explanation:

From the question we are told that

Sample mean [tex]\=x_1=3.18[/tex]

Standard deviation [tex]\delta_! =1.72[/tex]

Sample size [tex]n_1 =51[/tex]

Sample mean [tex]\=x_2=2.22[/tex]

Standard deviation [tex]\delta_2 =0.67[/tex]

Sample size [tex]n_2=20[/tex]

Generally this is a two tailed test

therefore

   Null hypothesis  = [tex]h_0 :P_v_e_g= P_n_o_n_v_e_g[/tex]

  Alternative hypothesis [tex]H_a : P_v_e_g \neq P_n_o_n_v_e_g[/tex]

From the test give in the question it is obvious that  there is enough evidence to show that population mean varies for vegetarian and non-vegetarian

The P-value helps affirm the null hypothesis claims,The P-value attains  values relatively as large as that which exists in the sample given,if the null hypothesis is right

Determine any data values that are missing from the table, assuming that the data represent a linear function.

X Ix ly |-12 17 -10 19 -8 23

a. Missing x:-6 Missing y:22
b. Missing x:-7 Missing y:22
c. Missing x:-7 Missing y:20
d. Missing x:-6 Missing y:21

Please select the best answer from the choices provided Save and Exit Next Submit Mark this and return​

Answers

Answer:

we conclude that:

The value of missing x = 6The value of missing y = 21

Step-by-step explanation:

Given that the table represents a  linear function, so the function is a straight line.

Taking two points

(-12, 17)(-10, 19)

Finding the slope between (-12, 17) and (-10, 19)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-12,\:17\right),\:\left(x_2,\:y_2\right)=\left(-10,\:19\right)[/tex]

[tex]m=\frac{19-17}{-10-\left(-12\right)}[/tex]

[tex]m=1[/tex]

Using the point-slope form to determine the linear equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 1 and the point (-12, 17)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 17 = 1 (x - (-12)[/tex]

[tex]y - 17 = x+12[/tex]

[tex]y = x + 12+17[/tex]

[tex]y = x+29[/tex]

Thus, the equation of the linear equation is:

[tex]y = x+29[/tex]

Now substituting x = -8 in the equation

[tex]y = x+29[/tex]

[tex]y = -8+29[/tex]

[tex]y = 21[/tex]

Thus, the value of missing y = 21 when x = -8

Now substituting y = 23 in the equation

[tex]y = x+29[/tex]

[tex]23 = x+29[/tex]

[tex]x = 29 - 23[/tex]

[tex]x = 6[/tex]

Therefore, the value of missing x = 6 when y = 23

Hence, we conclude that:

The value of missing x = 6The value of missing y = 21

Answer:

the answer is?

Step-by-step explanation:

I GIVEEEE BRAINKLILSETR

Answers

Answer:

G) 5 hours

Step-by-step explanation:

120 / 2 = 60 mph, since the plane travels at 60 mph for it to travel 300 miles it will be: 300/60 which equals 5

Harvie buys one notebook for $1. 59 and pens for $0. 29 each. He spends a total of $5.07 Assume there is
no sales tax where Harvielves
Part A Which equation represents the situation?
1.59 +0.29 = 5.07. where n represents the number of notebooks
1.59 +0.29 -5.07 where p represents the number of pens
0.25 +1.595.07where n represents the number of notebooks
0.29p+1.59 5.07 where p represents the number of pens
Part B:
Complete the statement to represent the solution of the equation in context
To complete the statement type a number in the first blank. Then select the units from the drop down
Harve purchased
Tt

Answers

Answer:

0.29p + 1.59 = 5.07 where p represents the number of pens

Step-by-step explanation:


Please help me I really need help

Answers

Answer:

5

7

9

11

13

Step-by-step explanation:

u just have to plot the x values into the x variable if that makes sense

here is an exampla

25-[20-{10-(7-5-3)}]=

Answers

Answer:

16

Step-by-step explanation:

When there are more than 1 brackets , there is a specific order of opening those brackets. First we open the bar , then round brackets , then curly brackets & then square brackets.

Using the order , let's solve this.

25-[20-{10-(7-5-3)}]

=> 25-[20-{10-(7 - 8)}]

=> 25-[20-{10 - (-1)}]

=> 25-[20- {10 + 1} ]

=> 25-[20 - {11}]

=> 25 - [ 20 - 11 ]

=> 25 - [9]

=> 25 - 9

=> 16

Which of these random samples represents a representative sample of the number of students in a middle school who walk to school? a) All students in chess club b) 25 random 8th graders c) 150 random students at lunch d) 5 students in the hallway

Answers

Answer:

c

Step-by-step explanation:

150 is a good sample of a middle school and students at lunch is random again because most students eat lunch

which of these consumers might depend on a rabbit for its energy?

a.horse
b.coyote
c.grasshopper
d.cow

Answers

Answer:

coyote

Step-by-step explanation:

Two sides of a triangle are equal in length. The third side of the triangle is 3 more than the equal sides. If the perimeter of the triangle is 48, what is the length of the longest side?

Show work

Answers

Answer:

18

Step-by-step explanation:

The two smaller sides are 15 and the larger one is 18

Answer:

18

Step-by-step explanation:

Let the length of equal sides be x, then the perimeter is:

2x + (x + 3) = 483x + 3 = 483x = 45x = 15

The longest side is:

15 + 3 = 18

Don't steal points
its not cool
i WILL report
and also
answer this and u could have a chance to get brainliest
ill be asking 10 questions
whoever has the best answer in any of these ill give brainliest :D

Answers

Answer:

==================== not < or >

Step-by-step explanation:

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hehe, the explanation is down here xD

m=3

4m-1=4*3-1

so then it's 12-1 which is 11

5m-4=5*3-4

15-4 thats 11

wait ok so

11=11

Answer:

=

Step-by-step explanation:

m = 3

4m - 1 = 4(3) - 1 = 12 - 1 = 11

5m - 4 = 5(3) - 4 = 15 - 4 = 11

4m - 1 = 5m - 4

Answer: =

Mark the absolute maximum point of the graph

Answers

Answer:

7

Step-by-step explanation:

The absolute maximum is the highest point ( or largest y value)

The absolute maximum is 7 at  (7,7)

What is the outlier of the set of 23,31,28,73,19

Answers

73, every other number ranges in the same area except 73

a)
2x+4=y
y=-2x-3
y= 2x + 4
parallel, perpendicular or none?

Answers

Answer:

Step-by-step explanation:

Help? **WILL GIVE BRAINLIEST**

Answers

Answer:

i think it C

Step-by-step explanation:

someone please im crying please

Answers

Slope-intercept: y=3x/4 -7

Answer:

slope- intercept form:    y=3/4 x -7

point slope form:   y-4=3/4(x+4)

and dang stop crying... hope this helped

What is the standard deviation of the following data set?
{14, 26, 40,52}
Your answer:
N
11.12
13.78
15.6
14.32

Answers

Answer:

D. 14.32

Step-by-step explanation:

The formula for standard deviation is:

[tex]SD = \sqrt{\frac{\sum | x-\mu|^2}{N}}[/tex]

The mean μ is 33.

The (x minus μ) squared are 361, 49, 49, 361 respectively.

So that the SD = [tex]\sqrt{\frac{820}{4}} \approx 14.31782...[/tex]


Divide 3.87 x 10 by 6.28 x 10 Express your answer in scientific
notation. Round the coefficient to two decimal places.

Answers

Answer:

oo my god the points are more

Answer:

PLEASE MARK AS BRAINLIEST!!!!

Step-by-step explanation:

DIVISION ANSWER = 0.61624203821

SCIENTIFIC NOTAION =

6.1624203821 × 10-1

(scientific notation)

= 6.1624203821e-1

(scientific e notation)

= 616.24203821 × 10-3

(engineering notation)

(thousandth; prefix milli- (m))

= 0.61624203821

(real number)

I DON'T KNOW HOW TO ROUND THE COEFFICIENT

please awnser use image for question

Answers

1 C
2 A
3 B
I hope this helps

need the answer thank you!

Answers

Answer:

256.

Step-by-step explanation:

1 × 4 = 4

4 × 4 = 16

16 × 4 = 64

64 × 4 = 256

Answer:

4 square n

Step-by-step explanation:

I follow my understanding it want a simplified formula to find out the nth which the n is randomly...Hope it can help you ....

Select the correct answer from the drop-down menu.

Find the polynomial.

(-1/3,4} is the solution set of

A. 3x^2-11x+4=0

B. 3x^2-11x-4=0

C. (1/3)x^2-11x-4=0

D. (-1/3)x^2-11x-4=0

Answers

Answer: B.)  3x^2 - 11x - 4 = 0

Step-by-step explanation:

A display that helps us think through calculations with conditional probabilities and the general multiplication rule is a:________

a. Venn diagram
b. side-by-side bar chart
c. bar chart
d. tree diagram

Answers

Answer:

d. tree diagram

Step-by-step explanation:

Given that a Tree diagram is a technique or method used in the mathematical or statistical theory of probability to determine the result of a particular event under investigation. The targeted result will be gotten at the end of each branch in the tree diagram.

To determine the targeted result of the occurring events, the branches of the tree diagram are multiplied.

Hence, a display that helps us think through calculations with conditional probabilities and the general multiplication rule is a TREE DIAGRAM

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