A driver travels 120 miles, stops, and then travels ¼ of the distance she has already driven. After stopping again, the driver travels ⅔ of the distance she has already traveled. Now, the entire distance she has driven is 55 miles more than 1 ⅔ of the remaining trip. How many miles does the driver still have to travel?

Answers

Answer 1

Answer:

75 miles

Step-by-step explanation:

We know that she has driven 120 miles before the first stop.

Then she drives for 1/4 of the the distance she has already driven (120 miles). One fourth of 120 is 30.

So now, she's driven for 120 + 30 miles, or 150 miles.

She drives for another 2/3 of the distance she's traveled (150 miles). Two thirds of 150 is 100.

So now, she's driven for 150 + 100 miles, or 250 miles.

What we need to find out now is how much of the trip has she traveled.

We know that the entire distance she has driven is 55 miles more than 1 ⅔ of the remaining trip. So, in other words, the distance she has traveled minus 55 is equal to 1 2/3 of the trip.

To put this in an equation:

250 - 55 = 1 2/3t

t = the whole trip

Now, we solve for t.

250 - 55 = 195

1 2/3 = 5/3

so, 195 = 5/3t

t = 325

We subtract what she has already driven to the total to get the remaining distance.

325 - 250 = 75


Related Questions

Simplify (-2)^4(-2) =
(3st)^2 =
7^0=

Answers

Answer:

-32

Step-by-step explanation:

answerrrrrrrrrrrr plssssssssssssssssssssssssssssssss

Answers

They think I’m too young to love you I don’t know what I need

right ANSWERS only plz i need help on how to do it also not just the answer plz and thank u

Answers

Answer:

option c

Step-by-step explanation:

because 2x +1= 0

2x/2= -1

x= -1/2

what is the probability of a 200 year flood this year

Answers

Answer:

0.5 chance

Step-by-step explanation:

Likewise, the term "100-year storm" is used to define a rainfall event that statistically has this same 1-percent chance of occurring.

Answer:

0.5

Step-by-step explanation:

The possibility are very very very low, but never a no

The average of 5 consecutive whole numbers is 2021. What is the average of the first 3 of these numbers?

Answers

Answer:

2020

Step-by-step explanation:

if it is 5 consecutive numbers, it means it needs to be 2019, 2020, 2021, 2022, 2023

it is the number in the middle.

for the first 3 numbers, it is 2019, 2020, 2021

the middle number is 2020

You have three towels. The first towel is ¾ meters long. It is ⅗ the length of the second towel. The length of the third towel is 5/12 of the sum of the length of the first and the length of the second. What part of the length of the third towel is the length of the second?

Answers

Answer:

Step-by-step explanation:

Part of length of the third towel is the length of the second towel

Solution:

Given that You have towels of 3 sizes

Length of the first towel =  meter

The length of one of them is equal to 3/4m, which makes up 3/5 of the length of the second.

Length of the first towel =

The length of the third towel makes up 5/12 of the lengths of the first 2.

To find: What part of the length of the third towel is the length of the second towel ?

Ratio of second to third towel length =

Thus 3/2 part of length of the third towel is the length of the second towel

A 5 pound bag of potatoes costs $2.77 while the store also sells individual potatoes for $0.59 per pound to make enough mashed potatoes to feed everyone at thanksgiving dinner you will need 7 pounds of potatoes

Answers

That would cost 3.95US$

Why that is correct:
$2.77 + ( $0.59 x 2 ) = $3.95

$0.59 x 2 = $1.18

$2.77 + $1.18 = $3.95

That’s how I did it


Given log 102 = 0.3010 and log 103= 0.4771, find log 1049 without using a calculator.

Answers

Bearing in mind that when the base is omitted, base 10 is assumed, or namely log(x) = log₁₀(x).

[tex]\begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\log_{10}(2)=0.3010\qquad \qquad \log_{10}(3)=0.4771 \\\\[-0.35em] ~\dotfill\\\\ \log_{10}\left( \cfrac{4}{9} \right)\implies \log\left( \cfrac{4}{9} \right)\implies \log\left[ \cfrac{2^2}{3^2} \right]\implies \log\left[ \left( \cfrac{2}{3} \right)^2 \right]\implies 2\log\left[ \cfrac{2}{3}\right] \\\\\\ 2[\log(2)-\log(3)]\implies 2[0.3010~~ - ~~0.4771]\implies -0.3522[/tex]


Select the correct answer.
When graphing an inequality, the boundary line needs to be graphed first. Which graph correctly shows the boundary line of the inequality?
y <1/3x+ 1

Answers

Answer:

C (Top Right)

Step-by-step explanation:

First things first, the line is dotted which makes it one of the answers since it's less than, instead of equal to or less than. Both numbers are positive, the bottom left graph goes into the -x while the top right graph keeps the slope increasing positively by 1/3 + 1.

The boundary line of the inequality y <1/3x+ 1 is represented by the graph C.

Let us find two points on the line.

You can choose any x-values you like and calculate the corresponding y-values using the equation.

When x=0 then y=1.

When x=3, then y=2

Now let us find the graph in which the line passes through (0, 1) and (3, 2).

The boundary line should be dotted because it is less than and doesnot have equal symbol.

When we observe these two criteria's the graph C is the graph for inequality y <1/3x+ 1.

Hence, Graph c correctly shows the boundary line of the inequality y <1/3x+ 1.

To learn more on Graph click:

https://brainly.com/question/17267403

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Select whether the equation has a solution or not.
√5-7
no roots
O roots

Answers

☆Answer :

[tex] \sqrt{x} = 7[/tex]

[tex]x = {7}^{2} [/tex]

[tex]x = 49[/tex]

Root.

Please help me answer this question!!!

Answers

Answer:

19

Step-by-step explanation:

The triangle is an isosceles and so angle SRT and angle STR are equal

also:

Angle SRT and angle STU are supplementary so their sum is equal to 180

7x + 2x + 9 = 180 add like terms

9x + 9 = 180 subtract 9 from both sides

9x = 171 divide both sides by 9

x = 19

You make $5000 per morth. If you spend 50% on necessitles, 30% on stuff you want and 20% of it you end up saving, how much money do you save per month?

Answers

Answer:

$1000 per month

Step-by-step explanation:

5000 dollars is 100 percent so we put 5000 over 100

5000/100

then since we need to find 20 percent of something, we put x over 20

x/20

Then we cross multiply

5000      times       x              

100                        20

so 100x = 100000

and x = 1000

Good luck, and hope I did this correctly

Answer:

1000

Step-by-step explanation:

NECESSITIES

$2,500

WANTS

$1,500

SAVINGS AND DEBT REPAYMENT

$1,000

can find anything to answer this

Answers

Answer:

where?

Step-by-step explanation:

maybe I can help to your question

Answer: C
Explain bc MN is not midsegment

is 1/4 to the 0 power bigger then 1

Answers

Answer:

1/4 to the 0 power is equal to 1. Therefore, it is not bigger than 1

The combined amount of ingredients are sugar, brown and white 8 cups, write an addition equation to solve how many cups of brown sugar was added if the chef used 4 cups of sugar

Answers

Answer: Yo MAMA + Yo nasty daddy = them having a mistake which is you lol

Step-by-step explanation:

Review:
Match each decimal with its equivalent simplified fraction.
NOTE: Simplified fractions may be in the improper fraction format.
0.25
[Choose]
0.14
[Choose ]
1.4
[Choose ]
0.4
[Choose ]
0.375
[Choose ]

Answers

Answer:

0.25-1/4

0.14-7/50

1.4-7/5

0.4-2/5

0.375-3/8

According to Newton's Law of Cooling, the temperature T(t) of a hot object, at time t after being placed in an environment with a constant temperature C, is given by T(t)=C+(To-C)e^-kt, where To is the temperature of the object at time t = 0 and k is a constant that depends on the object. If a hot cup of coffee, initially at 190°F, cools to 125°F in 5 minutes when placed in a room with a constant temperature 75°F, how long will it take for the coffee to reach 100°F?​

Answers

Answer:

Given the temperature of an object at time t as

-kt f(t) = T. + Ce +

where TO is the environment temperature, C is the difference in temperature of environment and object.

Given a boliling water at 100 degree celsius is placed in a freezer at 0 degree celsius, so we have

To = 0

C = 100 – 0= 100

After 26 minutes the temperature of water is 50 degree celsius.

f(26) = 0 + 100e -26k = 50

100e 26K = 50

-26 e = 0.5

-26%: In e = ln 0.5

-26% = ln 0.5

In 0.5 k= 26

So the temperature of water after 78 minutes will be,

f(78) = 100e -78 In 0.5 26 = = 12.5 =

The temperature of water after 78 minutes will be approximately 12.5 0 C

Step-by-step explanation:

A shadow 12 meters long is cast by a water tower that is 16 meters tall. What is the length of the shadow cast by a nearby utility pole that that is 12 meters tall?

A. 6
B. 9
C. 13
D.16

Answers

perdón xbdkdbsjjznsNxnznxn

What is the algebraic expression for the following word phrase: "the product of x and the sum of 2 and y"?

Answers

Answer:

x(2+y)

Step-by-step explanation:

sum of 2 and y=2+y

product of x=x times expression

:. Answer =x(2+y)

Use the figure below to find the values of x and y

Answers

Answer:

x=40° and y=50°

Step-by-step explanation:

45°+50°+2x+5=180°

100°+2x=180<-- subtract 100 to get x on one side

2x=80

x=40. Thus 2(40)+5 = 85.

85°+55°+x°=180

140°+x=180

x=40°

40°+90°(right angle)=130°, so 180 -130 would equal 50.

y=50°

how many prime numbers are multiples of 5 please​

Answers

Answer:

the only number would be 5

Step-by-step explanation:

5 is the first and only prime multiple of 5

There are only ''one'' prime number are multiples of 5.

What is Prime number?

Prime numbers are number that have only two factors, 1 and themselves.

Given that;

The prime numbers multiples of 5.

Now,

The multiples of 5 = 5, 10, 15, 20, 25, ...

But there are only one prime number (that is; 5) which are multiple of 5.

Thus, There are only ''one'' prime number are multiples of 5.

Learn more about the prime number visit:

https://brainly.com/question/145452

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Solve
-46 + - 4
A. 50
B. 42
C. -42
D. -50

Answers

The correct alternative that, matches the correct value of this expression is the letter D. That is, the answer will be -50.

Step-by-step explanation:

To find the value of this expression, let's eliminate the parentheses and extract the numbers.

To find the value of this expression, let's eliminate the parentheses, and add the numbers, where the signs are equal.

_ When the signs are the same: just add them up.

_ When the signs are different: just subtract.

Resolution:

[tex]\large \sf =-46 + (- 4)[/tex]

[tex]\large \sf =-46-4[/tex]

[tex]\boxed{\boxed{\large \sf -50 }}[/tex]

So, the numeric value of this numeric expression will be -50.

Consider the inequality. Which value of x is a solution to the inequality?

Answers

Answer:

12-4

6+3

Step-by-step explanation:

4 time 3 equals 12

3 times 2 equals 6

bueno round in the number three hundred ninety eight thousand six hundred twenty two wat is the answer​

Answers

Answer:

Step-by-step explanation:

Round to what precision?

398622 nearest whole number

398620 nearest 10

398600 nearest 100

399000 nearest 1000

400000 nearest 10 000 and 100 000

can anyone help with this, please

Answers

Answer:

Step-by-step explanation:

As the zeros are x = -2 and x = 2, the factors are (x + 2) and (x - 2)

y = C(x + 2)(x - 2) = C(x² - 4)

applying the y intercept of (0, 4)

4 = C(0² - 4)

C = -1

y = -1(x² - 4)

y = 4 - x²

Answer:

hi

Step-by-step explanation:

can somebody tell me the answer to this?

Answers

Answer:

∠AFB is adjacent

pls help with number 12

Answers

9514 1404 393

Answer:

  a.  Zachary is correct

  b. (-1)(-3) = 3 (Scott & Tina are wrong); (5)(-2) = -10 (Aaron is wrong); (1)(3) = 3

Step-by-step explanation:

a. An even number of minus signs in a product will mean the product is positive; an odd number will mean the product is negative. Zachary's observation is consistent with this rule. Zachary is correct.

We can show the others are incorrect using a counter-example.

  (-1)(-3) = 3 . . . . shows Scott, Aaron, and Tina are incorrect

Tina's rule is not consistent with the commutative property of multiplication.

Aaron's rule applies to addition, but not to multiplication.

__

b. The example used above is one example. Here are two more.

  (-1)(-3) = 3 . . . . . shows Zachary correct; Scott, Aaron, Tina incorrect

  (5)(-2) = -10 . . . . Aaron's own example shows him incorrect

  (1)(3) = 3 . . . . . . agrees with all students' observations

The 4:25 bus to the metro airport has a travel time of 1 hour and 45 minutes. The bus is running late today though. What will be the arrival time to the airport?

Answers

Step-by-step explanation:

what is that ? another drug or other crime gang secret message to each other ?

as you did not specify how much delayed it is, the answer can only be : late.

What is 953 divided by 6

Answers

The answer is 158.8333333333333

Answer

158 with a remainder of 5 ( also expressed as 953/6 OR 158.333333333333)

Step-by-step explanation:

I wasn't sure if you wanted a fraction, so I put two forms of the answer.

The sum of two numbers is 17 and their product is 66 what are the two numbers.

Answers

Answer:

11 and 6

Step-by-step explanation:

Let the numbers be X and Y

Then their sum: X+Y=17 equation 1

Product: X×Y=66 equation 2

X+Y=17. X =17-Y

XY=66.

(17-Y)Y=66 -Y²+17Y-66=0

Y=6 or 11

X=17-Y. X=17–6=11 or X=17–11=6

Therefore you can conclude that the numbers are 11&6

Answer:

11 and 6

Step-by-step explanation:

x + y = 17

x × y = 66

First, solve for y

x + y = 17

x + y - x = 17 - x

y = 17 - x

Then substitute y to x × y = 66

x × y = 66

x(17 - x) = 66

17x - [tex]x^{2}[/tex] - 66 = 66 - 66

- [tex]x^{2}[/tex] + 17x - 66 = 0

(- [tex]x^{2}[/tex] + 17x - 66) = 0

(-x + 6)(x - 11) = 0

-x + 6 = 0

-x + x +6 = 0 + x

6 = x or x = 6

x - 11 = 0

x - 11 +11 = 0 + 11

x = 11

Then the numbers are 11 and 6

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