Richard and Linda enjoy visiting Hilton Head Island, South
Carolina. The distance from their home to Hilton Head is
975 mi, so the drive takes them 2 days. Richard and Linda
travel twice as far the first day as they do the second day.
How many miles do they travel each day?

Answers

Answer 1

Answer:

first day: 650, second day: 325

Step-by-step explanation:

Let x be the number of miles travelled on the second day and  2x the number of miles travelled on the first day. They add up to 975.

2x+x=975

3x=975

x=325

x represents the number of miles travelled on the second day so they travelled 650 miles on the first day and 325 miles on the second day.

Answer 2

Answer:

650 miles the first day, 325 miles the second day

Step-by-step explanation:

We can call the distance they traveled on the first day as 2x and the distance they traveled on the second day as x. The former is 2x because they traveled twice as far the first day compared to the second day. Since the total distance traveled is 975 miles, we can write the following equation to solve for x:

[tex]2x + x = 975[/tex]

[tex]3x = 975[/tex] (Simplify LHS; 2x + x = 3x)

[tex]\frac{3x}{3}=\frac{975}{3}[/tex] (Divide both sides of the equation by 3 to get rid of the coefficient on x)

[tex]x = 325[/tex] (Simplify)

Therefore, [tex]2x = 2 * x = 2 * 325 = 650[/tex] so the final answer is they traveled 650 miles the first day and 325 miles the second day. Hope this helps!


Related Questions

find the length of hypotenuse of a right triangle with legs of 8 and 15

Answers

Answer:

17

Step-by-step explanation:

(8×8) + (15×15) = 289

square root of 289 is 17

What is 7 divided by 9.8?

Answers

Answer:

The answer is 0.71

Step-by-step explanation:

I divided it

The answer is 0.71 divided it.
I hope this helps :)

find the domain of the graphed function​

Answers

Answer:2 < x < 5

Step-by-step explanation:

I should look like this but with lines under the less than symbol

The domain of the graphed function is x ∈ (2,5), which is defined in the interval 2 < x < 5.

If the parent function is y = x² and it is defined in the x-coordinate interval 2 < x < 5, the domain of the graphed function would be the same interval, namely 2 < x < 5.

The domain of a function represents the set of all possible input values (x-values) for which the function is defined.

Here, since the parent function y = x² is defined for all real numbers, the domain of the graphed function will also be all real numbers within the specified interval, which is 2 < x < 5.

Thus, the domain of the graphed function is x ∈ (2,5).

Learn more about the domain and the range here:

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A restaurant charges a $100 setup fee, plus $15 per guest, to host a private party.
The table below shows the cost of hosting a private party for a certain number of
guests.

Answers

Answer: 775

Step-by-step explanation: $15 for each guest (so you need to multiply 15 by 45) then add the $100 setup fee!

-6n-4n please help because I have an improvement test

Answers

Answer:

-10n

Step-by-step explanation:

-6n-4n=-10

Hello,

Explain: -6n - 4n

Step-by-step:

Collect like terms and calculate the coefficients

(-6 - 4)n

Calculate the difference

10n

Explain: Solved using the variables by collecting terms and there coefficients. Then calculated the difference.

ANSWER: 10n

Hope this helps!


Solve 5x2 + 25 = 0 (question from algebra 1)

Answers

Answer:

well if the x is an multiplication then your answer would be False

Step-by-step explanation:

5*2+25=0

35=0

False

What is the quotient of 3/4 divided by 1/5?
The quotient is
3 and ___________

Answers

Answer:

The quotient is  3 and [tex]\frac{3}{4}[/tex].

Step-by-step explanation:

To find the quotient of the division (which is just the solution, really), we have to solve the division itself:

[tex]\frac{\frac{3}{4}}{\frac{1}{5}}[/tex]

[tex]= \frac{3 \cdot 5}{1 \cdot 4}[/tex]

[tex]= \frac{15}{4}[/tex]

Now that we know the quotient, we can look at the question itself to find it requires from us an answer with a whole number in it.

Therefore, we transform the fraction as thus:

[tex]\frac{15}{4}[/tex]

[tex]= 3 \frac{3}{4}[/tex]

Therefore, the final answer is 3 and [tex]\frac{3}{4}[/tex].

Hope this helped!

the answer is 3 and 3/4 because you need to find the reciprocal of 1/5 which is 5/1. Then you have to multiply 3/4 by 5/1 and get 15/4. After that, you change your improper fraction to a mixed number to get the correct answer 3 and 3/4.

Write the area as a sum and as a product

Answers

Answer:

0+5+20= 25 the answer is 25

pls help will give brainliest

Answers

That angle is 175 degrees

Engineers are planning a new bridge to cross a small river. Surveyors created the diagram to show where the bridge would cross the river. What is the distance across the river where the new bridge will be built?

Answers

Answer:

56.25 feet

Step-by-step explanation:

As per diagram, the two triangles are similar, as all angles are congruent (one is vertical, one is right, one is the

Let the distance across the river be x.

The ratio of corresponding sides is same. Find x using ratios:

x/45 = 75/60x = 45*75/60x = 56.25 feet

Answer:

56.25

Step-by-step explanation:

I took the quiz.

Write an inequality for the graph below.

Answers

Answer:

(1,-2) They are only asking for one inequality which is like (-3,0) which is the other point.

Step-by-step explanation:

Hannah buys 13 bottles of orange juice at the corner store for a total of $13.65. if each bottle cost the same amount, how much is each bottle of juice

Answers

It is 1.05 use division to answer this
1.05 because if you divide 13.65 by 13 you get 1.05

Three families track their distance while traveling to the band competition each family recorded data in different form which family has the fastest speed Rodriguez family Martin family or brown family

Answers

Answer:yaba

Step-by-step explanation:

yaba

if the circumference of the greatest circle of a sphere is
[tex]\pi \: cm \: find \: its \: volume[/tex]

Answers

Answer:

hlo buddy

Step-by-step explanation:

The formula for the volume of a sphere is V = 4/3 πr³.

HELP I NEED SOMEONE VERY GOOD IN MATH TO ANSWER 7-12 PLEASE THIS IS DUE :(

Answers

I can’t see the picture

How do I solve this equation by completing the square. X^2 - 12x = -20

Answers

Answer:

I got x=2

Step-by-step explanation:

1. Simplify the quadratic equation into its standard form

More Icon

Ax^2 +Bxc=0

Simplify the equation by subtracting everything to the right of the equal sign from both sides of the equation and combining like terms.

x^2-12x+0=-20

x^2-12x+0+20=0

x^2-12x+20=0

The Quadratic formula provides the solution for Ax^2 +Bxc=0, in which A, B, and C are numbers (or coefficients), as follows:

The coefficients of our equation, x^2-12x+20=0, are:

A = 1

B = -12

C = 20

Simplify 64 by finding its prime factors.

We first calculate the expressions inside the parentheses from left to right and from inner to outer.

x=12-8/2

x=4/2

x=2

Solve the system of equations by elimination.
2x - y + 3z=-1
x + 2y - 4z=-1
y – 2z=0

Answers

Answer:

x = -1, y = 2 and z = 1

Step-by-step explanation:

The given system of equations are :

2x - y + 3z= -1  ....(1)

x + 2y - 4z = -1  ......(2)

y – 2z = 0  .....(3)

Equation (3) can be written as :

y = 2z

Use y = 2z in equation (2)

x + 2(2z) - 4z = -1

x + 4z - 4z = -1

x = -1

Put the value of x in equation (1) :

-2 -y +3z = -1

-y+3z = 1 ....(4)

Adding equation (3) and (4)

y-2z+(-y+3z)=1

z = 1

Now put z = 1 in equation (4)

-y+3=1

-y = -2

y = 2

Hence, the values of x,y and z are -1, 2 and 1 respectively.

At the end of a snow storm, Audrey saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 2 inches per hour. Write an equation for S, in terms of t, representing the depth of snow on Audreys lawn, in inches, t hours after the snow stopped falling.

Answers

The expression for S, expressed in terms of t, which represents the amount of snow on Audrey's lawn, is as follows:

S = 0 - 2t

When the storm first began, there were 10 inches of snow in Audrey's yard. This can be shown as a constant value.

2 inches of snow melt each hour when it first starts to melt. We deduct 2t from the initial depth of snow since it gets shallower with time. Here, t denotes the number of hours that have passed since the snow ceased falling.

Determine the depth of the snow on Audrey's lawn at various times by changing the value of t in the equation.

For example, if we substitute t = 1 into the equation,

S = 10 - 2(1) = 10 - 2 = 8

This indicates that 8 inches of snow would be present in Audrey's yard once the snow stopped falling in one hour. To get the depth at various times, you may similarly insert different values for t.

To know more about an equation follow

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There are 12 squares and 20 triangles. What is the simplest ratio of squares to triangles?

Answers

Answer: 12:20 but if simplified then it is 3:5! This is the simplest ratio of square to triangles Explanation: I found the "GCF" (Greatest Common Factor) which was 4 and I got 3 for 12/4 and 5 for 20/4

15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:

Answers

I could be wrong but I think the answer is D. Can I have brainliest?

At a country concert, the ratio of number of boys to the number of girls is 2:7. If there are 250 more girls than boys, how many boys are at the concert?!

PLSSSSSSSS I NEED HELP ASAP PRETTY SURE THIS IS BEING GRADED!! GIVING BRAINLIEST AND 40 POINTS!!

Answers

Answer:

100 boys at the concert

Step-by-step explanation:

When changing the ratio between the number of boys to the number of girls, it always has to be equivalent to the original ratio 2:7

So, convert the ratio 2:7 to a different ratio, but it still has to be equivalent to the ratio 2:7. By doing that, multiply both sides of the 2:7 ratio by 50:

  2   :   7

×50   ×50

To get:

100:350    This ratio means that the ratio between the number of boys to the number of girls is now 100:350, but that’s okay to have because it’s still equivalent to the original 2:7 ratio.

So, using the new ratio 100:350, this means that there are 100 boys at the concert and 350 girls at the concert, and 350 is 250 more than 100 which proves what the question is asking. So there are 100 boys at the concert.

Answer: 100 boys at the concert

I hope you understand and that this helps with your question! :)

Classify the triangle with side lengths of 16, 13, and 12 as acute, right, or obtuse

Answers

Answer:

16+13+12=41

Step-by-step explanation:

it is acute

-64 divided by 8 Equals

Answers

Answer:

-8

Step-by-step explanation:

do exactly the same as you would for a positive number.

a negative and a positive make a negative so your answer should be negative

Answer:

-64 divided by 8 Equals

-8

Find the volume of the rectangular prism

Answers

Answer:

Should be 9 in.

In the following equation the letter x is known as the:
3x+1=10

Answers

Answer: X = 9

Step-by-step explanation:

First, Take 1 away from 10. 10 - 1 = 9. Then divide 9 by three. 9 divided by three is 3, so X = three.

5x + 3y = -3

2X - 3y = 24

Answers

Answer:

Y=-5/3x-1

y=2/3x-8

If you are adding then it is:

7x=21

x=3

Step-by-step explanation:

5x+3y=-3

3y=-5x-3

y=-5/3-1

2x-3y=24

-3y=-2x+24

y=2/3x-8

Answer:

If you add the two equations, you get

-5x = -10

Step-by-step explanation:

it might be wrong

9 1/4 + 8 3/4 + 7 1/2 + 7 1/2?

Answers

Answer:

Your answer is 33.

Step-by-step explanation:

7 1/2+7 1/2=15

9 1/4+ 8 3/4=18

18+15=33

The fractions have to have like denominators in order to add

Hope this helps

y−4=7(x−6) what is the ordered pair solution for this problem

Answers

This is your perfect answer

Seven times some number, added to 3, amounts to -25 added to the product of 3 and the number. Find the number.

Answers

7x+4=3x-20

Subtract 3x to the left.

4x+4=-20

Subtract 4 to the right.

4x=-24

Divide -24/4 to isolate variable "x".

x=-6

Plug it back it to prove the solution.

7(-6)+4=3(-6)-20

-38=-38

please mark as brainlist

Answer:

7x+3=-25+3x

minus 3 on both sides

7x=-28+3x

minus 3x both sides

4x=-28

divide 4 both sides

x=-7

the number is -7

can you please answer the question tyy

Answers

Answer:

Step-by-step explanation:

What I can see from this are many things. First of all, the girls achieved a higher score than the boys since the girls got a higher mean then the boys. This means that if we were to take the average score of each gender, the girls got a higher score. To find the average/mean you need to find the sum of the data set then divide it with the number of data entries. The boys had a smaller range than the girls, which means that the scores the boys achieved were closer than the girls. The higher the range the more likely your data is scattered. The lower your range, the more likely your data is contained of similar numbers. You figure out the range but subtracting your highest data point from your lowest data point.

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