Can someone help me with this??

Carlos and Pamela are going on a road trip. They are driving a total of 650 miles in three days to reach the destination. They took it easy the first day. On the second day, they drove twice as many miles as the first day. On the third day, they drove 50 miles more than the second day. How many miles did they drive each day?​

Answers

Answer 1

Answer:

Carlos and Pamela drove 120 miles on the first day, 240 miles on the second day, and 290 miles on the third day.

Step-by-step explanation:

Let x be the number of miles driven on the first day.

Then they drove twice as many miles, or 2x on the second day

and 50 miles more than the second day's, so 2x + 50

The total is 650 across all three days, so we'll take the sum.

x + 2x + (2x + 50) = 650

Combine like terms on the left

5x + 50 = 650

Subtract 50 on both sides

5x = 600

Divide by 5 on both sides

x = 120

Check work:

120 + 2(120) + 2(120) + 50 = 650

120 + 240 + 240 + 50 = 650

600 + 50 = 650

650 = 650

So they drove 120 miles on the first day

2*120 = 240 miles on the second day

and 2*120 + 50 = 240 + 50 = 290 miles on the third day


Related Questions

X. X. X =
Rewrite expression with one exponent.

Answers

Answer: x^3

Step-by-step explanation:

a = 5, b = 4, and c = 2. so 2a= what

Answers

Step-by-step explanation:

2a = 10 because a = 5 and 2a means 2 × a which is the same as 2 × 5 and this equals 10.

hope this helps

A rectangle has a width of 3 units. The rectangle's length is 5 times its width.

What is the area of the rectangle?

Answers

Answer:

Answer= 45 units

Step-by-step explanation:

lengths = 3 units

width = 3x5= 15 units

area= length times width= 3x15= 45 units!

Hope this helps :)

Find the volume of this object.
Use 3 for 1.
V=7r2h
Volume of a Cylinder
4 ft.
12 ft

Answers

Answer:

504 ft^3

Step-by-step explanation:

Ok, so we have the equation for the cylinder as well as the rectangular prism. Basically we're just going to find the volume of each of them separately and then add them together.

Let's start with the cylinder:

V(cylinder) = pi*r^2*h

pi = 3

d = 4ft

r = d/2 = 4/2 = 2ft

h = 12ft

V(cylinder) = (3)*(2^2)*(12)

V(cylinder) = 3*4*12

V(cylinder) = 144 ft^3

Now the rectangular prism:

V(rectangular prism) = l*w*h

l = 10ft

w = 6ft

h = 6ft

V(rectangular prism) = 10*6*6

V(rectangular prism) = 360 ft^3

Now we can add them together:

V(total) = 360 + 144

V(total) = 504 ft^3

Select all solutions to the equation (2. — 4)(x + 5) = 0.


x = -1/2

x = 1/2

x = -2

x = 2

x = -5

x = 5

Answers

Answer:

At, x=-5

Step-by-step explanation:

(2-4)(x+5)=-2×0

1. Which of the following is an example of like
terms?
a. - 16 and - 16x
b. x and x2
C, 50y and y
d. 20a and 2

Answers

the answer shoupd be c

Please give answer to the problem.

Answers

y = x - 4 so if x = -3 then y = -3 - 4 = -7

oh my god help plssss ima rage

Answers

Answer:

d

Step-by-step explanation:

find the domain of f/g.

Answers

Answer:

Al real numbers except 4/3

55 points. Please help fast. Fastest one (must be correct too) will get brainliest.

Answers

Answer:

Uhh I think some information is missing I am not sure tho

Change the following fraction to a decimal. 8 4/5 = ?

Answers

Answer:

The answer is 8.8

Step-by-step explanation:

4/5 x 20/20 = 80/100

80/100 = .8

Step-by-step explanation:

[tex]8 + \frac{4}{5} = \frac{40 + 4}{5} \\ = \frac{44}{5} = 8.8 \\ thank \: you[/tex]

A fisherman can row upstream at 1 mph and downstream at 4 mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. How far did the fisherman row off the entire trip took 5 hours?

Answers

He rowed for 4 miles

it took him 4 hours to get upstream which is 4 miles and since he can do 4 miles per hour down stream it only took him an hour to get back to the starting point which is 5 hours in total.

Find the probability of “landing” in the shaded region of the figures below. Round your answer to the nearest hundredth.
3. Square with side length 40 ft

Answers

Answer:

Area of the square:

A = a² = 40² = 1600 ft²

Area of the circle:

A = πr² = 3.14*(40/2)² = 1256 ft²

Probability of landing in the shaded region:

P = 1256/1600 = 0.785 or 78.5%

Answer:

78.5%

Step-by-step explanation:

We can find the area of both shapes then divide to find the probability.

Square area:

40 * 40 = 1600ft²

Circle area with diameter [ 1/4πd² ]:

1/4π(40)²

1/4π(1600)

0.785(1600)

1,256

Now divide both areas to find the probability.

1256/1600 = 0.785

0.785 * 100% = 78.5%

Best of Luck!

Prove this

1-tan^2x/1+tan^2x=cos^2x-sin^2x

Answers

Answer:

see explanation

Step-by-step explanation:

Using the identity

tan x = [tex]\frac{sinx}{cosx}[/tex]

Consider the left side

[tex]\frac{1-tan^2x}{1+tan^2x}[/tex]

= [tex]\frac{1-\frac{sin^2x}{cos^2x} }{1+\frac{sin^2x}{cos^2x} }[/tex] ( multiply numerator and denominator by cos²x to clear fractions

= [tex]\frac{cos^2x-sin^2x}{cos^2x+sin^2x}[/tex] ← ( cos²x + sin²x = 1 ]

= cos²x - sin²x

= right side , thus proven

100 POINTS PLEASE HELP!!!!

Answers

Answer:

a. F=1.8c + 32

b. 71.6 degrees Fahrenheit

c. c=(F-32)/1.8

d. 28.3 degrees Celcius

Step-by-step explanation:

a. Given the two data points we can create an equation in slope-intercept form.

The y-intercept is 32

Slope can be found by doing 212-32/100-0 = 180/100 = 1.8

F=1.8c + 32

b. We can use this formula to solve for Fahrenheit

F=1.8(22)+32

F=71.6 degrees

c. Isolate c

F-32=1.8c

(F-32)/1.8=c

d. We can use this formula to solve for Celcius

(83-32)/1.8=c

c= 28.3333333 degrees

We can round that to 28.3 degrees Celcius

Answer:

a)F =1.8C +32

b) f(22) = 68 F

c)  C = 5/9F -17  7/9

d) 28.3

slope=   5/9  

B= -17  7/9  

Step-by-step explanation:

x1 y1  x2 y2

0 32  100 212

 

(Y2-Y1) (212)-(32)=   180  ΔY 180

(X2-X1) (100)-(0)=    100  ΔX 100

slope= 1  4/5    

B= 32          

   

Y =1.8X +32    

Can someone plz help me it’s my last question plz (question 2)

Answers

Answer:45 ish

Step-by-step explanation:

10. You bought a two magazine for $5 and some notepads for $3 each. You spent a total of $37. How many notepads did you buy? WILL NEED WORK WILL GIVE BRAINLIEST​

Answers

Answer:

You bought 9 notepads.

Step-by-step explanation:

Buying two $5 magazines will cost $10.  That means there's still $27 left to spend on notepads.  If one notepad costs $3, then 27 / 3 = 9.  

Answer:

9

Step-by-step explanation:

5x2=10

10+3x=37

3x=37

x=9

btw  = notepads ur welcome!

What’s A= a+b divided by 2

Answers

Step-by-step explanation:

A=a+b/2

2×A=a+b

2A=a+b

2a-a=b

a=b

hope it helps

Answer:

A=2

and B=2

Step-by-step explanation:

If you add two plus two you get four, and divided by two you get 2.

what is 200 rounded to the nearest ten

Answers

Answer:

200.

Step-by-step explanation:

-------- 200 -------

Hope that helps.

URGENT ! HELP ME I WILL MARK BRAINLIEST !!

please faster !!!!​

Answers

Step-by-step explanation:

230m...................

Answer: so the answer would actually b

Step-by-step explanation:

please please help me it's for my homework ​

Answers

Answer:

6/25

Step-by-step explanation:

.24 = 24/100 = 6/25

Answer:

6/25

Step-by-step explanation:

step 1 The decimal number = 0.24

step 2 Write it as a fraction

0.24/1

step 3 Multiply 100 to both numerator & denominator

(0.24 x 100)/(1 x 100) = 24/100

It can be written as 24% = 24/100 or 24/100

step 4 To simplify 24/100 to its lowest terms, find LCM (Least Common Multiple) for 24 & 100.

4 is the LCM for 24 & 100

step 5 divide numerator & denominator by 4

24/100 = (24 / 4) / (100 / 4)

= 6/25

6/25 is a simplest fraction for the decimal point number 0.24

Farmer Lee wants to plant tomatoes and cucumbers together in rows. He has 54 tomato plants and 48 cucumber plants, and he wants each row to be the same.

Answers

Rows of 6
6x9 = 54
6x8 = 48

Evaluate the Expression (y+2)2 when y = -4

Answers

Answer:

4

Step-by-step explanation:

(y+2)^2

Let y = -4

(-4+2)^2

Parentheses first

(-2)^2

Exponents

4

Answer:

-4

Step-by-step explanation:

y = -4

Substituting y in the equation,

(-4+2)2

(-2)2         [Negative x Positive = Negative]

=> -4

please help me I am stuck on this question​

Answers

Answer:

(a) $3.00

(b)(i) $33.00

(b)(ii) $322.50

Step-by-step explanation:

(a)

100% = $20.00

1% = 100%/100 = 20/100 = $0.20

15% = 1%×15 = 0.2×15 = $3.00

so, he actually has to pay $20 + $3 = $23 per toaster.

or shorter and direct, since we calculate the extra 15% based on the original 100%, we can say he has to pay 115% of the basic price.

115% = 0.2×115 or = 100%×1.15 = 20×1.15

0.2 × 115 = $23

20 × 1.15 = $23

so, you can see the several ways to get to the result.

in any case, the profit is $26-$23 = $3 per toaster.

(b)(i)

100% new price = 100% old price + 20% = 120% old price

or 100% old price × 1.2

100% new price per toaster = 20×1.2 = $24.00

the new tax is increased TO 25% (not by 25%) be careful to see that detail.

so, we need to add 25% of the new price.

125% new price = 24×1.25 = $30.00

so, in order to make again $3 profit, the customer has to pay now $30+$3 = $33.00

(b)(ii)

100% (b)(i) selling price = $33.00

30% more means 130% of that, or 1.3×100%

33×1.3 = $42.90

so, the profit per toaster is now 42.90 - 30 = $12.90

when selling 25 of these toasters the profit is then

25×12.90 = $322.50

Marketing company said 259 emails on Monday 431 emails on Tuesday and some emails on Wednesday if the company sent about like 1300 emails over three days about how many emails did the company send on Wednesday

Answers

Answer:

610

Step-by-step explanation:

Given:

259 emails on Monday431 emails on Tuesday? emails on WednesdayTotal emails = 1300

Add:

259 + 431 = 690

Subtract:

1300 - 690 = 610

So, on Wednesday 610 emails were sent out.

Hope this helped.

Consider the two grading schemes above, with a homework average of 81 a class participation average of 57 a test average of 93 and a final exam grade of 87. If you calculate your grade with both teachers, what would the higher of the two grades be?

Answers

I don’t understand the question.

Kay's mother's age is six more years than twice Kay's age. The sum of their ages
is 81. Find both of their ages.

Answers

Answer:

6x81=2

Step-by-step explanation:

did i do it correctly if i didnt can u please answer it correctly and tell me how u did it

Answers

Answer:

You have done it wrong.

Step-by-step explanation:

4 3/7 - 5/7 = 3 5/7

We can change the equation to a improper fraction first.

4 3/7 = 4*7+3 = 31/7

31-5 = 26

Therefore the answer is 26/7.

simplify

The answer is equal to 26/7, or 21/7 + 5/7

Which is 3 5/7

Sorry but you did it wrong...

First you gonna make 4[tex]\frac{3}{7}[/tex] become 3[tex]\frac{10}{7}[/tex] ( 4 -> 3 [tex]\frac{7}{7}[/tex] - *you need to make it become the same denominator)

Lets do it:  3[tex]\frac{10}{7}[/tex] - [tex]\frac{5}{7}[/tex] = ...

Because in  [tex]\frac{5}{7}[/tex]  doesn't have a whole number so you will still keep 3

                 3[tex]\frac{10}{7}[/tex] - [tex]\frac{5}{7}[/tex] = 3.....

Next, you gonna subtract [tex]\frac{10}{7}[/tex] - [tex]\frac{5}{7}[/tex] = [tex]\frac{10-5}{7}[/tex] = [tex]\frac{5}{7}[/tex]

                 3[tex]\frac{10}{7}[/tex] - [tex]\frac{5}{7}[/tex] = 3[tex]\frac{5}{7}[/tex]

SO the answer for 4[tex]\frac{3}{7}[/tex] - [tex]\frac{5}{7}[/tex] is 3[tex]\frac{5}{7}[/tex]

Hope it helps, Studywell!

What is the value of x in the equation 0.7x – 1.4 = -3.5?
O -7
Ο Ο Ο Ο
3
7

Answers

0.7x-1.4=-3.5
Add 1.4 to both sides:
0.7x=-2.1
Divide 0.7 to both sides:
x=-3

Find the equation of the circle
(x + 2)2 + (y + 5)2 = 4
tve
when it is reflected about y = 2x + 1.

Answers

Answer:

2x+4+2y+10=4

2x+2y=4-10-4

2(x+y)=-10

x+y=-10/2

x+y=-5

x+2x+1=-5

3x=-6

x=-6/3

x=-2

Other Questions
Consider the mass-on-a-spring system as shown in the figure below. The spring has a spring constant of 1.81e+3 N/m, and the block has a mass of 0.988 kg. There is a constant force of kinetic friction between the mass and the floor of 1.79 N. Starting with the spring compressed by 0.172 m from its equilibrium position, how far will the block travel once it leaves the spring? (Assume that block leaves the spring at at the spring's equilibrium position, marked x=0 in the figure. 2. Seema suffered a severe muscle tear while playing. Which food nutrient would help her recover faster -6 + 1/4x + 3(1/4x + 6) How would a primary source document help your historical inquiry? Nobel gases (inert gases) have full set of valence electrons so they DO NOT REACT with other elements. Noble gases are elements.A. stableB. unstable Solve for x and z (and find the total or a fraction or root of the equation)4+x-3z*(7+3+6)=? the value of mass of a body is everywhere URGENTTT!!how insulin taken by breathing it in enters the blood? Which isotope of iron from the periodic table is most abundant Tia SalonNeraca Saldo31 Mei 2019Kode AkunKeteranganReffDebetKreditKasPiutang UsahaAsuransi Dibayar dimukaPeralatanPerlengkapan KantorUtang UsahaUtang WeselModal Ny,TiaPrive Ny.TiaPendapatan SalonBeban GajiBeban ListrikBeban IklanJUMLAH10.8 00.0005.600.0004.800.000120.000.0002.600.0002.000.0006.400.0001.600.000800.000154.600.0004.800.00080.000.00060.000.0009.800.000154.600.000Informasi tambahan penyesuaian:Tarif premi asuransi sejumlah Rp. 400.000,- per bulan.Perlengkapan yang masih tersisa di Gudang sampai pada tanggal 31 Maret 2017 sebesar Rp. 2.000.000,-.Penyusutan peralatan per bulan sebesar Rp. 1.800.000,-.Bunga yang masih harus dibayar perusahaan atas utang wesel 31 Maret 2017 adalah sebesar Rp. 1.000.000,-.BUATLAH NERACA LAJUR DAN LAPORAN KEUANGANNYA Ann drove 378 kilometers this weekend. She drove 49 of the distance on Saturday. How many kilometers did she drive on Saturday? if m Do you know where the movable type printing in our country originated first? What is an educational record according to ferpa identify one way to remove the sand from the mixture in the breaker Imran can row at 3 m/s against the current and at 6 m/s with the current. Find the speed of the current. Garcy has 4/5 pound of bird seed she needs 3/10 pound to feed the birds daily which rectangle models below shows how many days worth Can someone explain this to me, please?A stable sodium atom has 11 electrons. The sodium isotope [tex]Na_{24}[/tex] has:A.) How many protons?B.) How many neutrons?C.) An atomic number of what? Marcella is selecting a fiction text for personal enjoyment. She is in eleventh grade and reads well. She loves dancing, helping her parents cook meals, and hiking on nature trails. Based on this information, which text would be the best recommendation for Marcella? a book of recipes from famous New York City chefs a collection of classic poetry that covers a variety of topics an article that rates colleges that have dance degree programs a novel about a young woman who explores the wilderness in Alaska What would be the slope for a line passing through the two points below?Point 1: (1, 0.1) Point 2: (7, 26.8)