A family's vacation destination is 850 miles from their home. They travel by car 6 hours on the first day of their trip. Their average speed is 45 mph. The next day they travel 7 hours, averaging the same speed. How many miles are left for the family to travel?

A) 225 miles
B) 265 miles
C) 285 miles
D) 345 miles

Answers

Answer 1

for the first part:

distance= speed * time
distance=6*45
=270

for the second part:

distance=speed*time
distance=7*45
=315

total-distance already traveled = distance left
850-315-270=265
distance left=265 miles

The answer is B.
Hope this helps! :)

Related Questions

Please help me now ! Thank you

Answers

First we'll do two basic steps. Step 1 is to subtract 18 from both sides. After that, divide both sides by 2 to get x^2 all by itself. Let's do those two steps now

2x^2+18 = 10
2x^2+18-18 = 10-18 <<--- step 1
2x^2 = -8
(2x^2)/2 = -8/2 <<--- step 2
x^2 = -4

At this point, it should be fairly clear there are no solutions. How can we tell? By remembering that x^2 is never negative as long as x is real.

Using the rule that negative times negative is a positive value, it is impossible to square a real numbered value and get a negative result.

For example
2^2 = 2*2 = 4
8^2 = 8*8 = 64
(-10)^2 = (-10)*(-10) = 100
(-14)^2 = (-14)*(-14) = 196

No matter what value we pick, the result is positive. The only exception is that 0^2 = 0 is neither positive nor negative.

So x^2 = -4 has no real solutions. Taking the square root of both sides leads to

x^2 = -4
sqrt(x^2) = sqrt(-4)
|x| = sqrt(4)*sqrt(-1)
|x| = 2*i
x = 2i or x = -2i
which are complex non-real values

4sin theta + 3 square root of 3 = square root of 3

Answers

Solving for θ:

4sinθ + 3√3 = √3

First subtract 3√3 from both sides:

4sinθ = -2√3

Now, divide by 4:

sinθ = (-2√3)/4
sinθ = -√3/2

Using the unit circle we know that sin of -√3/2 is 240° or 4/3π and 300° or 5/3π

Hope this helps!

The ratio of Aspens to Ponderosa Pines in a part of a forest is 12 to 16. If there are 12 Ponderosa Pines, how many Aspens are there?

Answers

Is aspens part of math?

Do you have Any answer choices

Only 5,6,7,8 please help

Answers

5.) 67.24390 ( 24390 repeating)

6.)0. 87.213114 etc. (estimate it)

7.) 27. 714285 ( repeating)

8.) 70.60869 (estimate it)

Solve for x:

x + 4.5 = -17.75

Please help!

Answers

X= -22.25. You subtract the 4.5 so the x can by it self

-22.25+4.5=-17.75 bammmmmmmmmmmmmm

how will i do this it is very confusing.

Answers

Hello.

A scale factor is a term that defines the multiplicative/divisive measurement difference between the two same shapes. The way we can find our scale factor is by dividing our new measurement by the old measurement.

681 / 3 = 227

Our scale factor is 1/227, as 3 is 1/227 of 681 - and we are looking for the scale factor to find what multiplied by 681 would give us 3.

I hope this helps!

identify the terms and like terms in the expression - x - 9x*2 + 12x*2 + 7

Answers

The expression - x - 9x^2 + 12x^2 + 7 has 4 terms:
-x, -9x^2, 12x^2, 7

Like terms are:
-9x^2, 12x^2

Final answer:

The terms in the expression - x - 9x*2 + 12x*2 + 7 are -x, -9x*2, +12x*2, and +7. The like terms in the expression are -9x*2 and +12x*2. The terms -x and +7 are not like terms.

Explanation:

In the expression - x - 9x*2 + 12x*2 + 7, the terms are:

-x-9x*2+12x*2+7

The like terms are the terms that have the same variable and exponent. In this expression, the like terms are -9x*2 and +12x*2, since they both have the variable x raised to the power 2. So, the like terms are -9x*2 and +12x*2.

The terms -x and +7 do not have the same variable or exponent, so they are not like terms.

Learn more about terms and like terms here:

https://brainly.com/question/29169167

#SPJ2

solve the system by the elimination method? -5x-2y=2 6x-2y=24

Answers

x = 22
Make either x or y opposites and then solve.

Hope this helps.

-5x-2y=2
6x-2y=24

Notice that -2y appears in both equations. Multiply the first equation by -1, obtaining

5x + 2y = -2 and then adding the second equation to this result:
6x -2t = 24
-----------------
11x = 22, so x = 2. Now subst. 2 for x in either of the original equations to find the value of y.

6(2) - 2y = 2 becomes 2y = 12-2, or 2y = 10, or y = 5.

Solution is (2,5). You MUST check this, however.

whats 3/4+1/4÷4/5+1/2

Answers

1.2625 i dunno if this is correct though on my calculations

Jasmine opened a bank account. She deposited $84.50 into her account every month for 20 months. She used $50.50 every month to pay for dance lessons. After 20 months, she used 1 over 4 of the total money left in her account to go to a music camp. What is the total amount of money Jasmine spent to go to the music camp?

$115.00
$135.00
$155.00
$170.00

Answers

you multiply 84.50 and 20 then you subtract 50.50 times 20 which equals $680 then you divide by four and get $170.00.

Answer:

Option D 170.00.

Step-by-step explanation:

I took the test.

need help like last time do the same thing

Answers

5) 8/6=4/3=1 1/3

He collected 1 1/3

6) 60/10=6

They sold 6 cats per week

7) 90/10=9

He/she installed 9 sheets per minute.

Solve for x in the diagram shown.
A) 15
B) 16(mixed fraction
1
3
C) 16 (mixed fraction)
2
3
D) 17

Answers

To find the ratio, divide 15/18 to get .833333333

Then multiply that by the 20 to get: 16.6666667 or as a fraction 16 2/3

Final answer: C.) 16 2/3

Hope this helps!

The value of x will be 16 2/3.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

LMN is a triangle shown in figure.

Now,

Here, LMN is a triangle shown in figure.

By definition of proportionality, we get;

⇒ x / 15 = (20 + x) / (15 + 18)

Solve for x as;

⇒ x / 15 = (20 + x) / 33

⇒ 33x = 15 (20 + x)

⇒ 33x = 300 + 15x

⇒ 33x - 15x = 300

⇒ 18x = 300

⇒ x = 300/18

⇒ x = 50/6

⇒ x = 16 2/3

Thus, The value of x will be 16 2/3.

Learn more about the triangle visit:

https://brainly.com/question/17335144

#SPJ2

if cosA=2/5, find the value of 4+4 tan^2A

Answers

The first equation is given to determine A.

cos A = 2/5
A = cos⁻¹(2/5) = 66.42°

Now that we know A, we use this value to the second equation.

4 + 4tan²A = 4 +24.996 4tan²(66.42°) = 24.996 ≈ 25

Answer:

Step-by-step explanation:

What is the first step in simplifying the expression 11x-2-3(1-7x)^2+(x+1)

Answers

Answer with Step-by-step explanation:

We are given a expression:

[tex]11x-2-3(1-7x)^2+(x+1)[/tex]

We have to determine the first step in the solution of the above expression.

First step will be to solve the term [tex](1-7x)^2[/tex]

We will firstly square the term 1-7x

[tex]11x-2-3(1-7x)^2+(x+1)\\\\=11x-2-3(1+49x^2-14x)+(x+1)\\\\=11x-2-3-147x^2+42x+x+1\\\\=-147x^2+54x-4[/tex]

Hence, First step is:

solve the term [tex](1-7x)^2[/tex]

You purchasing 220 airline ticket you have a discount code to receive 10% off there is a 10.5% service charge and how much do you pay for your ticket

Answers

After having a discount of 10%, we have to pay the net price: 220x90%= 198
But you have to pay 10.5% service charge, that means the service charge is 198x10.5%= 20.79
And finally you have to pay: 198+20.79= 218.79
Hope it is helpful

Reese spent $4.95 on cookie supplies. He sold 24 cookies at $2 each. His profit is how much more he got from selling the cookies than he spent. What was his profit?

Answers

To solve this problem, we should first find out how much Reese made from selling cookies. To do this, we have to multiply the cost of one cookie ($2) by the number of cookies he sold (24). This is modeled below:

24 * $2 = $48

To find Reese's total profit, we must subtract how much he spent on the supplies ($4.95) from his earnings ($48). This is modeled below:

$48 - $4.95 = $43.05

Therefore, Reese's profit is $43.05.

Hope this helps!

yesterday jamal scored -20 points on a puzzle today he scored more points use absolute value to describe today's score as a loss

Answers

Absolute value is never negative so the answer is 20

Final answer:

The absolute value of Jamal's score is 20, indicating a loss of 20 points.

Explanation:

In math, the absolute value of a number is the positive value of that number, regardless of its sign. Since Jamal's score on the puzzle was -20 points, we can use absolute value to describe today's score as a loss by taking the absolute value of the score. The absolute value of -20 is 20, which means that today's score was a loss of 20 points.

Each year a school sends 50 students to a conference. Last year, the cost was $12.50 per student. This year, the cost per student has increased by 16%. How much will it cost to send 50 students to the conference this year

Answers

multiply 12.50 by 16% to find the new cost

12.50 * 1.16 = 14.50 per student

14.50 * 50 = $725

This year. Student numbers have not changed. However, the cost is raised by 16 percent. 12.5 * 1.16(1+0.16)= $14.5
This year, each student has to pay $14.5.
14.5 * 50= 145*5= $725

I need help to figure out n

Answers

First of all, you want to divide both sides by 1/9 in order to isolate the variable

n= 2/3 ÷ 1/9 As you may have learned, you cannot divide fractions, instead you do KCF (Keep Change Flip). So keep the first fraction, change the division to multiplication, and flip the last fraction.
n = 2/3 * 9/1 Simplify the cross terms
n = 2/1 * 3/1 Multiply 2 by 3
n= 6

I really need help
thx

Answers

5) 2*5
   over which equals 10/40 or 1/4
5*8

6)8*3=24
   15*10=150 answer is 24/150

7)2*12=24
9*13=117 answer 8/39

8)7*12=84
   8*1=8 answer 8 and 1/2 or 84/8

9)4*5=20
   12*1=12 answer 1and 2/3 or 20/12

10) 4*4=16
9*9=81 answer 16/81

11)3*7=21
14*9=126 answer 1/6

12)8*24=192
   9*11=99 answer 1 and 31/33 or 192/99

How many solutions can be found for the linear equation? 6( 3x/2 + 4) - 10 = 1/2 (4x + 16)

A) no solutions

B) one solution

C) two solutions

D) infinitely many solutions

Answers

I think its c) two solution but im, not 100% sure

Answer:

its b one solution

Step-by-step explanation:

A pitcher contains 1 3/4 quarts of milk. How many fluid ounces of milk does the pitcher contain ?

Answers

It contains 56 fl oz.

Final answer:

1 3/4 quarts is equivalent to 56 fluid ounces. This conversion is done by first converting the mixed fraction to an improper fraction, and then multiplying by 32, which is the number of ounces in one quart.

Explanation:

The subject of your question is Mathematics, specifically a unit conversion problem. You want to convert 1 3/4 quarts of milk to fluid ounces. We know that there are 32 fluid ounces in one quart. So, to convert quarts to fluid ounces, we multiply the number of quarts by 32:

For 1 3/4 quarts:

1. First, convert the mixed fraction to an improper fraction: (1 * 4) + 3 = 7/4 quarts

2. Multiply by 32(our conversion factor from quarts to fluid ounces): (7/4) * 32 = 56

So, 1 3/4 quarts is equal to 56 fluid ounces.

Learn more about Unit Conversion here:

https://brainly.com/question/19420601

#SPJ3

Mary buys a dress and a pair of shoes. Before adding the tax she pays $ 48 for the dress which normally sells for $ 62, and she pays $ 34 for the shoes which normally sell for $46.

Answers

Hello! I can help you with this!

a. To find out how much Mary saved, we will have to subtract the sale price from the original price, and then add up the difference to find how much she saved. 62 - 48 is 14. 46 - 34 is 12. 14 + 12 = 26. Mary saved $26 by buying at the sale item price.

b. To find the amount of discount, we can write and solve a proportion, by setting it up like this: change/original = x/100. Change is the distance between two numbers and the original is the previous price. If you know about proportions, you cross multiply the values, and then divide each side by a number to isolate "x". If you solve each proportion correctly, here are your answers for each item:

Dress: ≈ 23% discount
Shoes: ≈ 26% discount

c. Okay. So when we add up the sales prices together, 48 + 34 is 82. In order to find the total amount with tax, we multiply the sale price, by (1 + r). In other words, add 1 to the rate in decimal form and multiply it by the total of the sales price. 82 * 106.5% (1.065) is 87.33. Mary paid a total of $87.33.

What is the property of 2x32x5=2x5x32=

Answers

it would be communitive property

|x + 3| < 5

–8 < x < 2
–2 < x < 8
3 < x < 5
–3 < x < 5

Answers

Answer:

-8 < x < 2

Step-by-step explanation:

[tex]|x+3|<5\iff x+3<5\ \wedge\ x+3>-5\qquad\text{subtract 3 from both sides}\\\\x<2\ \wedge\ x>-8\Rightarrow -8<x<2[/tex]

Find the nth term in the following sequence:
10, 19, 34, 55

Answers

the nth term is 3n²+7

Answer:

The nth term of sequence is [tex]3n^{2}+7[/tex]

Step-by-step explanation:

We need to find out the general recurrence relation of sequence:

[tex]10, 19, 34, 55[/tex]

if we see pattern of sequence that every square of each number 'n' is multiple of 3 and addition of 7

check this pattern by [tex]3n^{2}+7[/tex]

For n=1

[tex]3n^{2}+7[/tex]

[tex]3(1)^{2}+7[/tex]

[tex]3+7[/tex]

[tex]10[/tex]

For n=2

[tex]3n^{2}+7[/tex]

[tex]3(2)^{2}+7[/tex]

[tex]3\times 4+7[/tex]

[tex]12+7[/tex]

[tex]19[/tex]

For n=3

[tex]3n^{2}+7[/tex]

[tex]3(3)^{2}+7[/tex]

[tex]3\times 9+7[/tex]

[tex]27+7[/tex]

[tex]34[/tex]

And so on..

Therefore, the nth term of sequence is [tex]3n^{2}+7[/tex]

simplify.
-5 ( x - 3) + 2 ( a - 9)
-5x + 2a + 33
-5x + 2a + 4
-5x + 2a - 33
-5x + 2a - 4

Answers

Answer:

Step-by-step explanation:

-5(x+3) + 2(a-3

-5*x =-5x

-5*3= -15

2*a=2a

2*9=18

-15+18=3

so the answer is -5x+2a-3

Suppose △ITH≅△APG.

Which congruency statement is true?

Answers

△ITH≅△APG.

answer
B. IH = AG

It is given that the triangles ITH and APG are congruent.

When the two triangles are congruent, then the corresponding angles and sides are congruent to each other.

By being congruent, the corresponding angles which are congruent are:

[tex]IT \cong AP, TH \cong PG, IH \cong AG[/tex]

Therefore, [tex]IH \cong AG[/tex]

SO, Option 2 is the correct answer.

simplify the expression (5-5i)-(-6-3i)

How do I solve this? Either teach me how, or help me with a few other simmilar ones.

Answers

Answer: Simplifying the expression of the substraction of the two complex numbers we get 11-2i

Solution:

(5-5i)-(-6-3i)

Eliminating the parentheses: 5-5i+6+3i

Grouping similar terms: (5+6)+(-5+3)i

Adding the similar terms: 11+(-2)i = 11-2i

Answer:

The simplify form of given expression is 11-2i.

Step-by-step explanation:

The given expression is

[tex](5-5i)-(-6-3i)[/tex]

Using distributive property, we get

[tex]5-5i-(-6)-(-3i)[/tex]

[tex]5-5i+6+3i[/tex]

Combined real and imaginary parts.

[tex](5+6)+(-5i+3i)[/tex]

[tex]11+(-2i)[/tex]

[tex]11-2i[/tex]

Therefore the simplify form of given expression is 11-2i.

How many terms are there in the expression 2x - 5y + 3 + x?
3
4
5
6

Answers

Terms or Like Terms?

ther is 4
hope this helps

Other Questions

identify the european countries where each of these religions originated Match each purpose for writing with its focus from The Rhetorical Triangle. _ To Entertain A. Words _ To Persuade B. Subject _ To Inform C. Writer _ To Impress D. Reader i think its D but who knows HEEEEELELELLELEELEP What did the british call the boston massacre? "the accounts receivable account goes up when a shipment is sent." Select the correct chronological order for the discoveries by the following scientistsa)Thompson. Dalton. Rutherford, Bohr b)Dalton, Thompson, Rutherford, Bohr c)Bohr, Rutherford, Dalton, Thompson d)Rutherford, Dalton, Thompson, Bohr Uma and edward are assigned to partner on a project, but they have never worked together before. uma texts edward, "are you available to meet at four this afternoon?" edward replies, "yep. cu then." what advice would you give them about their communication styles? Lines 1-18 explain the tone in these lines "the lottery" If air pressure is decreasing what will the weather be Mis padres ____ (shave). me afeito se afeitan te afeitas se afeita You have been invited to be part of a special group that is traveling on a cultural exchange to La Habana, Cuba. During your trip, the group has been invited to a special event thrown by the Cuban Ministry of education. It will be important people there, along with musicians, dancers, and other performers to perform at the event. Write a diary entry that details how you get ready for your day. Your diary entry should be 4 to 5 paragraphs long and it should include the following information.What is the special event? Where does the special event take place? Describe the event and the people who are attending. What you do to get ready? -Use reflex verbs -Use serand estar. -Use possessive adjective add anything else you'd like to add. cules son las materias de la universidad que ms ____ a los estudiantes? te interesa te interesan les interesa les interesan the output is five times the input music appreciation The Romantic Era Nikolai Rimsky-Korsakov was a member of a group of Russian composers who were passionate nationalists. The group was known asA.the intellectual elite.B."the Ballets Russes."C."the Five."D.the salon. What is the difference between casual observers and scientific observers? What is the view that armstrong calls "materialism"? Harrison is going to write a personal narrative about his uncle and the reasons he admires him. Which sentence most effectively uses description to show the reader what kind of person Harrisons uncle is? A(n) _____ is the highest educational degree available at a community college. master, bachelor, associate, or specialist Which of the following is a type of program that is designed to collect information about you and send it to a remote user without your knowledge?A. SpywareB. CookieC. VirusD. WormE. Stealware True or false, the decimal form of 3 3/8 is 3.38 Steam Workshop Downloader