The sum of two numbers is 64. The difference between the numbers is 14. Write a system
to find both numbers. Remember to show all work.

Answers

Answer 1

Answer:

They say that the sum of the two numbers (x and y) is 64, so we can write our first equation by adding them and setting that sum equal to 64:

x + y = 64

The question also tells us that their difference is 14. Similarly to before, we'll just subtract the two numbers and set that difference equal to 14:

x - y = 14

Now from here, you know how to continue with substitution to find the values for x and y. Just remember when you get a word problem to break it down and look for key words like sum, difference, or product, and from there you'll be able to build your system of equations.


Related Questions

Simplify the expression
5(k + 4) - 2k

Answers

Answer:

3k + 20

Step-by-step explanation:

5(k + 4) - 2k

First distribute

5k + 20 - 2k

Then subtract (combine) the like terms

3k + 20

Answer:

The answer is 3k + 20

Step-by-step explanation:

5k + 20 - 2k

Combine like terms: 5k - 2k = 3k

which makes your answer 3k + 20

Hope this helps:).......if not sorry for wasting time:)

help pleaseeeeee

1.) In the number 546,789, what digit indicates the value of "one hundred thousand"?
2.) What is the expanded notation of 8843?
3.) Write the following number in words: 38,403,277

Answers

1. 5
2. 8000 + 800 + 40 + 3
3. Thirty eight million, four hundred three thousand, and two hundred seventy seven

Answer:

1.) 5

2.) 8,000 + 800 + 40 + 3

3.) Thirty-eight million, four-hundred and three thousand, two-hundred and seventy-seven.

Step-by-step explanation:

1.) In the number 546,789, what digit indicates the value of "one hundred thousand"? 5

2.) What is the expanded notation of 8843?

8,000 + 800 + 40 + 3

3.) Write the following number in words: 38,403,277

Thirty-eight million, four-hundred and three thousand, two-hundred and seventy-seven.

Hope this helps!

PLEASE SHOW YOUR WORK TY!
GIVING BRAINLIEST

Answers

Answer:

a)[tex]-\frac{1}{12}[/tex]

d)[tex]-\frac{1}{8}[/tex]

Step-by-step explanation:

a) Find a common denominator. 12 (3 × 4 = 12)

Convert the fractions to have a denominator of 12.

[tex]\frac{2}{3}[/tex] → [tex]\frac{8}{12}[/tex]

[tex]\frac{3}{4}[/tex] → [tex]\frac{9}{12}[/tex]

[tex]\frac{8}{12}[/tex]- [tex]\frac{9}{12}[/tex] = [tex]-\frac{1}{12}[/tex]

d) Find a common denominator. 8 (4 × 2 = 8; 8 × 1 = 8)

Convert the fractions to have a denominator of 8.

[tex]\frac{3}{4}[/tex] → [tex]\frac{6}{8}[/tex]

[tex]\frac{5}{8}[/tex] → [tex]\frac{5}{8}[/tex]

- [tex]\frac{6}{8}[/tex] - (-[tex]\frac{5}{8}[/tex])=?

Remember, 2 subtractions signs cancel each other out.

- [tex]\frac{6}{8}[/tex] + [tex]\frac{5}{8}[/tex] = [tex]-\frac{1}{8}[/tex]

You purchase 2 action figures per week. You have 48 action figures, which is 75% of the total number of action figures you need to complete your collection. How many weeks until your collection is complete?

Answers

Answer:

Step-by-step explanation:

Let the total number of action figures = x

75% of x = 48

[tex]\dfrac{75}{100}*x=48\\\\Multiply \ by \ 100\\\\75*x =48*100\\\\Divide \ by \ 75\\\\x=\dfrac{48*100}{75}\\\\\\x=16*4\\\\x= 64[/tex]

Remaining action figures need to be collected = total figures - number of action figures I have

= 64 - 48 = 16

Number of weeks = 16 ÷ 2 = 8

It will take 8 weeks to collect 16 action figures.

Find the missing number 3+=5?

Answers

2.
Explanation
2+3=5
5-3=2

Answer:

2.

Step-by-step explanation:

We can view this problem as 5-3=?.

5-3=2

So the missing number is 2.

Analyze the zeros of f(x) =x^4 - 3x^3 - 2x^2 + 3x - 5.

Answers

X1 = 1-sqrt(6) , X2= 1+sqrt(6)

Evaluate the function at the given values.
h(x) = x² – 3x + 2
a. h(2)
b. h(-2)
c. h(0)
a. h(2)=

Answers

Answer:

h(2) =0

h(-2) =4

h(0) = 2

h(2) = 0

Step-by-step explanation:

h(2) = 2^2-3(2)+2 =4 - 6 + 2 = 0

h(-2) = 2^-2 -3(-2) +2 = -4+ 6+2=4

h(0) =0^2 - 3(0)+2 = 0-0 +2 = 2

h(2) = 2^2-3(2)+2 =4 - 6 + 2 = 0

What is the diameter of this circle? AD c C Р E B​

Answers

AB is the diameter of the circle

The longest chord in the circle is known as the diameter.AP is the radius and AB is its double so its diameter. As we know that, Diameter is 2× radius...~

Please Please help please

Answers

Answer:

compound and elements

Step-by-step explanation:

a single atom is known as an element

a compound is two elements bonded together.

the given figure shows single atoms as well as two atoms bonded together therefore the figure is showing elements as well as compounds

At a used book sale, the number of books bought and the price paid by five different customers is shown in the table below. Odin knows that there is a linear model that describes the relationship between the number of books bought and the price

Answers

Answer:

Part A= 0.5

Step-by-step explanation:

2000:$5 2015:$6.5 what is the percent change

Answers

Answer:

30%

Step-by-step explanation:

% of change = 100 x (6.5-5)/  | 5 |

11, 20, 29, ...
Find the 48th term.

Answers

Answer:

434

Step-by-step explanation:

29-20=9

20-11=9

9*47=423

423+11=434

Answer is 434 First you do 29 - 20 = 9 Step 2 you do 20 - 11 = 9 Then multiply 9x47=423 Then finally Do 423-11= 432

Which of the following represents e5 rounded to the nearest thousandth?

Answers

Answer:

C. 148.413

Step-by-step explanation:

Hope it helps!!!

Brainliest pls!!!

Answer: c

Step-by-step explanation:

Inverse of f(x)=-2x-5/-4x+9

Answers

Answer:

                                           

Step-by-step explanation:

A group of 180 students is divided into 20 teams for a competition. b. Part way through the competition, the students are gathered together and divided into 15 teams. If there are still 180 students in the competition, how many students are on each team now? (Enter your answer as a whole number. For example, 5)

Answers

Answer:

12 people per team

Step-by-step explanation:

180/15=12

Your credit card has a limit of $9,500 and you have a current balance of $3,200. Answer the following questions using complete sentences: is the debt ratio more or less than 43%(if you could show work for this i would apricate it )

Answers

Answer:

Step-by-step explanation:

9500/3200=296.88% i believe i did it backwards at first sorry

PLEASEEE HELP!!!! what’s the relation?

Answers

Answer:

ambisyoso

Step-by-step explanation:

yehey lala knows that you are you po Sir

What's the answer?????

Answers

Answer:

0

Step-by-step explanation:

basically plug a and b back into the equation so (0)÷(48) will equal 0 which is equal to C because 0 out of any number is always equal 0 because you're not taking taking any value out of it

Answer:

Step-by-step explanation:

zero is always a nasty piece of work. You need to be careful how you handle it.  What do you get when you divide 0 by 48?

Answer, you don't get anything because no matter if b is 1 or 48, you get 0 as the result.

Answer: B

Middle-school students sold cookies in packages of 12. On the first day, they sold x packages. On the second day, they sold twice as many packages as on the first day. Which expression shows the number of cookies they sold on the second day

Answers

Answer:

2x

Step-by-step explanation:

As the question says that the students sold twice the cookies on the second day ans the expression for the first day is 'x' so the expression for second day is 2*x='2x'

How many 1/4 inches are in 1 inch? Draw a diagram to demonstrate your answer.​

Answers

Answer:

4

Step-by-step explanation:

Simplify this problem. Leave answer in exponents.

Answers

[tex]8^{-2}*a^7=\frac{a^7}{8^2} =\frac{a^7}{64}[/tex]

Hope that helps!

…………………………. Just look at image. Need help

Answers

Answer:

Explained and Given Below.

Explanation:

manipulate sides by changing division to multiplication and solve, simplify.

solving steps:

(a)

[tex]\sf \dfrac{4}{7} \div \dfrac{5}{6}[/tex]

[tex]\sf \dfrac{4}{7} * \dfrac{6}{5}[/tex]

[tex]\sf \dfrac{24}{35}[/tex]

(b)

[tex]\sf \dfrac{3}{5} \div \dfrac{4}{5}[/tex]

[tex]\sf \dfrac{3}{5} * \dfrac{5}{4}[/tex]

[tex]\sf \dfrac{3}{4}[/tex]

(c)

[tex]\sf \dfrac{5}{8} \div \dfrac{7}{8}[/tex]

[tex]\sf \dfrac{5}{8} * \dfrac{8}{7}[/tex]

[tex]\sf \dfrac{5}{7}[/tex]

(d)

[tex]\sf \dfrac{7}{18} \div \dfrac{4}{9}[/tex]

[tex]\sf \dfrac{7}{18} * \dfrac{9}{4}[/tex]

[tex]\sf \dfrac{7}{2} * \dfrac{1}{4}[/tex]

[tex]\sf \dfrac{7}{8}[/tex]

Let $f(x) = 12x^9 + x$. Find $f(3) + f(-3)$.

Answers

Answer:

Ok, here goes:  f(3) means take f(x) and plug in 3 wherever we see x.  So

f(3) = 12*39 + 3 = 236196 + 3

f(3) = 236199

Likewise, f(-3) means take f(x) and plug in (-3) wherever we see x.  So

f(-3) = 12*(-3)9 + (-3) = -236196 - 3

f(-3) = -236199

Putting those two things together, we get

f(3) + f(-3) = 236199 - 236199 = 0

Step-by-step explanation:

Please answer QUICKLY!!!

Answers

Answer:

the range is {7,5,1}

Step-by-step explanation:

To find the range, just plug in the domain into the function.

f(-1) = -2(-1) + 5 = 7

f (0) = -2(0) + 5 = 5

f(2) = -2(2) + 5 = 1

3X=5-2x english sentence

Answers

Answer:x=1

Step-by-step explanation: 3x+2x=-2x+5+2x

**answer:

x=1

Step by step explanation:

3x=5-2x

3x+2x=5

5x=5

x=1

10-5: Practice Buddy answers

Answers

Answer:

Step-by-step explanation:

Answer is:
Five
Step-by-step
Put 10 fingers up and take 5 away
10-5=5

how much money did she have at first

Answers

Step-by-step explanation:

x = the total money she had first.

x - x×1/4 - (x - x×1/4)×1/2 = 15

you see, first we needed to deduct 1/4 of x from x. that left us with (x - x×1/4). and from that we need to deduct 1/2.

now, we can simplify :

(x - x×1/4) = (x×4/4 - x×1/4) = x×3/4

x×3/4 - x×3/4 × 1/2 = 15

x×3/4 - x×3/8 = 15

we multiply both sides by 8 (4 is a factor of 8, so this handled both fractions perfectly) :

x×3×2 - x×3 = 120

6x - 3x = 120

3x = 120

x = $40

she had $40 at the beginning.

Sophia, Oliva, Ava, Mia, and Isabella are going to drive together to a nearby theme park. The car they are using has 5 seats: 1 driver seat, 1 front passenger seat, and 3 back passenger seats. Sophia and Olivia are the only ones who know how to drive the car. How many possible seating arrangements are there?

Answers

Answer: 48 arrangements

Step-by-step explanation:

Total persons = 5

Total seats = 5

Total arrangements

= 2 * 4!

= 2 * (4 * 3 * 2)

= 2 * 24

= 48

Carmen’s dog needs medication. She told the veterinarian that the dog sighs 50lbs. The medicine is measured as 14 mg for each kilogram of the animals mass. How much medicine should be given to Carmen’s dog?

Answers

Answer:

317.5144mg

Step-by-step explanation:

50 lb=22.6796 kg

22.6796*14=317.5144

The formula A=3.14(R^2-r^2) , for R=45 mm and r=38mm , is ?

Answers

Answer:

1,824.34

Solving steps:

=> A=3.14(R² -r²)

=> 3.14(45² - 38²)

=> 3.14(2025 - 1444)

=> 3.14(581)

=> 1,824.34

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