the sum of two numbers is 51 and the difference is 13. what are the numbers

Answers

Answer 1

Answer:

Step-by-step explanation:

19 and 32

Answer 2

Answer:

the two numbers are 19 and 32

Step-by-step explanation:

let's call the numbers x and y.

write out the equations

x + y = 51

x - y = 13

simplify the second equation

x = 13 + y

substitute into the first equation and simplify

(13 + y) + y = 51

13 + 2y = 51

2y = 51 - 13

2y = 38

y = 19

substitute y for 19 in the second equation

x = 13 + y

x = 13 + 19

x = 32


Related Questions

translate into algebraic expression four divided by the sum of x and three

Answers

[tex]\frac{4}{x+3}[/tex]

sum is addition

The scale factor of similar figures is 4/3, and one side of the smaller triangle is 12.

The corresponding side on the larger triangle is 16.

True
False

Answers

Answer:

True

Step-by-step explanation:

what is the expression in the factored x2+7x+6

Answers

Answer:

Step-by-step explanation:

x² +7x + 6  = (x+1)(x+6)

Which describes how to calculate the range of this data set?
4,5, 6, 8, 11, 12
O Subtract 11-5.
O Subtract 12-4.
O Add 11+5.
Add 12+ 4.

Answers

Answer:

B) Subtract 12-4 to calculate the range of this data set

Roy has 5 pounds of dried fruit to make snack bags. He separates each pound of dried fruit into thirds and wants to use 1 third pound for each bag. How many snack bags can he make with all of the dried fruit?

Answers

Answer:

15

Step-by-step explanation:

1 turns in to 3 and you multiply that by 5

What is the sum of the matrices shown below?

Answers

Answer:

[tex] \red{ \bold{\begin{bmatrix} - 4 & 26 & - 5 \\ \\6 & 17& - 8\end{bmatrix} }}[/tex]

Step-by-step explanation:

[tex] \begin{bmatrix} 4 & 19 & - 5\\ \\ 7 & 0 & - 14\end{bmatrix} + \begin{bmatrix} -8 & 7 & 0\\ \\ - 1 & 17 & 6\end{bmatrix} \\ \\ = \begin{bmatrix} 4 + ( - 8) & 19 + 7 & - 5 + 0\\ \\ 7 + ( - 1) & 0 + 17& - 14 + 6\end{bmatrix} \\ \\ = \begin{bmatrix} 4 - 8 & 19 + 7 & - 5 + 0\\ \\ 7 - 1 & 0 + 17& - 14 + 6\end{bmatrix} \\ \\ \purple{ \bold{ = \begin{bmatrix} - 4 & 26 & - 5 \\ \\6 & 17& - 8\end{bmatrix} }}[/tex]

[tex]\left[\begin{array}{ccc}-4&26 &-5 \\6&17&-8\\\end{array}\right][/tex] is the sum of the given matrices.

What is matrices?

There are columns and rows in a matrix. The dimensions or size of a matrix are determined by these rows and columns. There are many different kinds of matrices, including row, column, null, square, diagonal, upper triangular, lower triangular, symmetric, and antisymmetric matrices.

Given two matrices,

[tex]\left[\begin{array}{ccc}4&19&-5\\7&0&-14\\\end{array}\right][/tex] and [tex]\left[\begin{array}{ccc}-8&7&-0\\-1&17&6\\\end{array}\right][/tex]

We need to find the sum of this given matrices

The only matrices that may be added together are ones of the same size. As a result, you can only add matrices if they are both  m × n. For example, you can add two or more 3 × 3, 1 × 2, or 5 × 4 matrices. You cannot add a 2 × 3 and a 3 × 2 matrix, a 4 × 4 and a 3 × 3, etc. The number of rows and columns of all the matrices being added must exactly match.

thus,

Sum of matrices = [tex]\left[\begin{array}{ccc}4 -8&19 +7 &-5 + 0\\7 -1&0 + 17&-14 +6\\\end{array}\right][/tex]

Sum of matrices = [tex]\left[\begin{array}{ccc}-4&26 &-5 \\6&17&-8\\\end{array}\right][/tex]

Therefore, option D is correct.

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Consider a force F = 〈–1, 3〉 applied to an object that is moving from the point (3, –9) to the origin.
Find the displacement vector of the object.
d = 〈 _,_ 〉
Find the work done in moving the object.
W = ___ Joules

Answers

Answer:

-3,9

30

Step-by-step explanation:

Edge 2021

The displacement is (-3, 9)

Work done= 30 Joules

What is vector?

A vector is a quantity or phenomenon that has two independent properties: magnitude and direction.

Given:

F= (-1, 3)

point (3, -9)

So, displacement from origin to (3, -9)

d=  (0-3, 0-(-9))

d= ( -3, 9)

Work done = F. d

= 3 + 27

= 30 joules.

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A box contains four equal-sized cards labeled 1, 3, 5, and 7. Tim will select one card from the box. What is the Probability that Tim will select a card labeled with a number less than 6? Give the probability in any one of the three ways.

Answers

Answer:

3/4

Step-by-step explanation:

There are 4 total outcomes - 1,3,5 and 7.

The outcomes which are less than 6 are 1, 3 and 5. So 3/4 will be < 6.

Peter lives in Utah, which has a 5% state income tax rate. He earns $3,700 monthly.
How much state income tax is withheld from each of his paychecks?

Answers

Answer:

ask Utah not me.........

Answer:

$185 is withheld

Step-by-step explanation:

3700 x .05 is 185.

Identify the percent of change as an increase or a decrease. 4/5 to 3/5 Increase Decrease Find the percent of change. Round to the nearest tenth of a percent if necessary.

Answers

The required percent of change from 4/5 to 3/5 is a decrease of 25%.

What is the percentage?

The percentage is the ratio of the composition of value to the overall composition of value multiplied by 100.

Here,
The fraction 4/5 is greater than the fraction 3/5, so the change from 4/5 to 3/5 represents a decrease.

To find the percent of change, we first need to find the amount of change. We can do this by subtracting the original value (4/5) from the new value (3/5),

3/5 - 4/5 = -1/5

The amount of change is -1/5. To express this as a percent, we can use the formula.,

Percent change = (amount of change / original value) * 100%

Substituting the values we have,

Percent change = (-1/5 / 4/5) * 100%

Percent change = -0.25 * 100%

Percent change = -25%

Therefore, the percent of change from 4/5 to 3/5 is a decrease of 25%.

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What is the solution to the equation A + 5 2/3 = 9​

Answers

Answer:

the first one is your answer

Step-by-step explanation:

I hope it help ^_^

have a great day!!

Simplify completely****​

Answers

Answer:

[tex]\displaystyle \frac{x + 7}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsFactoring

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{x^2 + 12x + 35}{3x + 15}[/tex]

Step 2: Simplify

[Fraction] Factor numerator:                                                                          [tex]\displaystyle \frac{(x + 5)(x + 7)}{3x + 15}[/tex][Fraction] Factor denominator:                                                                       [tex]\displaystyle \frac{(x + 5)(x + 7)}{3(x + 5)}[/tex][Fraction] Divide:                                                                                             [tex]\displaystyle \frac{x + 7}{3}[/tex]

WILL GIVE BRAINLIEST

Answers

0,0 1,4 2,8 is the answer

Factor the following trinomial: x2 + 8x + 15.

Answers

Answer:

(x + 3) (x + 5)

how do I find b of the traingal​

Answers

Answer:

Pythagorean Theorum:

16ft

Step-by-step explanation:

pythagorean theorum states a^2+b^2=c^2

it only works for right triangles, c is the hypotenuse, a and b are the legs

so to find b we plug in the info we have!

7.8^2+b^2=17.8^2

next we simplify:

60.84+b^2= 316.84

subtract 60.84 from both sides to isolate the variable:

b^2=256

square root both sides

b=16

16ft is the answer

I hope this helps!

What is the common factor in 14xy – 25yz?

1. z
2. x
3. xyz
4. y

Answers

Answer:

it would be y since both are common there

What is the standard form for f(x)=7(x-1)^2+3

Answers

For me : 7x^2 - 14x + 10

a punch recipe calls for 3 liters ginger ale, 1.5 liters tropical fruit juice. and 500 milliliters pineapple juice. how much punch will the recipe make?

Answers

Answer

189

Step-by-step explanation:

just is

8.
Tom works 1 3/4 hours a day at a café. He is paid $8 an hour. How much
money is he paid in 10 days?

Answers

Answer:

1 3/4 x 8 = 14. In 10 days, he will be paid the amount of one day x 10. 14 x 10 = 140. Tom will be paid $140 in 10 days

Step-by-step explanation:

tom will be paid $140 in 10 days

A state began an effort to increase the deer population. In year 2 of the effort, the deer population in a state forest was 3,000. In year 4, the population was 4,320.

The explicit rule for the geometric sequence is aₙ =

Answers

Step-by-step explanation:

i guess math is the hardest subject

Answer:

The answer is aₙ = 2,500 (6/5)^n-1

Hope i helped, have a wonderful day! :D

Odd couple. If n is an odd number greater than or equal to 3, can n+1 ever be prime? What if n equals 1?

Answers

No, because when adding 1 to any odd number it will become even, and all even numbers besides 2 are not prime. This means that if n was 1 the resulting number would be prime, since 2 is prime.

I need help on this question please

Answers

What question I don’t see no question

Answer:

dont mind me im just getting my points back

Step-by-step explanation:

PLS I NEED HELP FAST I DONT UNDER STAND THIS

Answers

the answer is A dijddndndnbdbdbf

The cost of a new 19-inch television would be around
a) $40.
b) $400.
c) $4,000.

Answers

Answer:

A

Step-by-step explanation:

They are typically around $100 or less. closest would be 40

3 1/8 - 7/12


NEED HELP ASAP!!! Plz

Answers

Step-by-step explanation:

hope this right.but if its not,im so sorry

Write the exponent for 3 x 3 x 3 x 3 x 3 (shift 6 to make the ^ sign). *

Answers

Answer:

3^5

Step-by-step explanation:

The exponent is just the amount of times you multiply a number by itself. So if you're multiplying three five times, the power would be 5.

Yesterday, 72 students from Red Rock Middle School went on a trip to the zoo. There are a total of 80 students in the school.
What percent of the students in the school went to the zoo2
O A 72%
OB. 80%
Oc88%
OD. 90%
OE 92%


pls sorry ty

Answers

Answer : option D 90%

Explanation : 72/80 as a percentage is 90%.

Good luck !!

Solve using the square root property
x2 - 12 = 0

Answers

X= +- /sqrt(12)!!!!!!!!!!!!!!

A baker can bake 5 cakes in an hour. How many cakes can she bake in c minutes?

Answers

rate*time=job
r*60 minutes =5 cakes
60r=5, divide off 60 to find her rate
r=1/12
1/12 * c minutes =job
i’m not sure if there’s meant to be a value for the C but if so just divide the time in minutes by twelve for the amount of cakes she would bake

Answer:

No cakes.

Step-by-step explanation:

5/60= 12. 1hr=60 mins. 60/3=20. 20 mins=1 cake.

Graph 5x + 3y = 15.
y

Answers

Graph is on the picture.

hope ot helps.

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