The sum of two numbers is 58. If there difference is 28, find both numbers

Answers

Answer 1

Answer:

y = 15

x = 43

Step-by-step explanation:

this is giving us a system of equations because we know two things:

x + y = 58

x - y = 28

take the second equation and format it where you have simplified it for one variable:

x = 28 + y

(we did this by adding y to both sides)

now substitute this new value of x into the first equation:

28 + y + y = 58

simplify this to get 2y = 30

divide both sides by 2: y = 15

now substitute your new value of y into the second equation:

x = 28 + 15

x = 43


Related Questions

Which model represents 2.36 ÷ 4? A. Three groups of three tenths and four hundredths B. Three groups of five tenths and nine hundredths C. Four groups of three tenths and six hundredths D. Five groups of five tenths and nine hundredths

Answers

Answer:

Five groups of five tenths and nine hundredths

Step-by-step explanation:

Mathematically;

2.36 divided by 4 = 0.59

So we want to select from the options, the best representation of this

That will be

0.5 + 0.09

so our answer is 5 groups of five tents and nine hundredths

The model which represents 2.36 ÷ 4 is; Choice D: Five groups of five tenths and nine hundredths

We must perform the division 2.36 ÷ 4 first so that we have;

2.36 ÷ 4 = 0.59

The result, 0.59 can then be written in words as; Five tenths and 9 Hundredths.

Ultimately, the model. which represents the expression 2.36 ÷ 4 is; Choice D: Five groups of five tenths and nine hundredths.

Read more on place value:

https://brainly.com/question/18838031

Write the number 5.1 x 10^4 in standard form.

Answers

51,000 I’m pretty sure

The number  [tex]5.1 * 10^{4}[/tex] in standard form is 51,000.

Given data:

The number is represented as A.

Now, the value of A is expressed as:

[tex]A = 5.1 * 10^{4}[/tex]

From the laws of exponents:

A = 5.1 * 10000

On simplifying the expression:

A = 51,000

Therefore, the value of A is 51,000.

Hence, the standard form is 51,000.

To learn more about exponents,refer:

https://brainly.com/question/28966438

#SPJ6

The movie theater can hold a maximum of 7,000 people. This weekend, they are expecting 4,600 children and 765 adults. How many seats will be left?

Answers

Answer:

1635 seats left

Step-by-step explanation:

First, add the number of children and adults as they are both considered people.

4600 + 765 = 5365

Then we do subtraction to figure out how many seats are left

7000 - 5365 = 1635. There will be 1635 seats left

Let me know if you have any questions

What is the scale factor in the dilation?

Answers

Answer:

3

Step-by-step explanation:

Help me again pleasee

Answers

Answer:

a = -2_ 5/6

Explanation:

Could you help me answer this question

Answers

Answer:

Statement 4 in true.

Step-by-step explanation:

1. f(-2)=(-3*(-2)+2)^2+(-2)=(6+2)^2+(-2)=8^2-2=62, FALSE

2. f(-5)=(-3*(-5)+2)^2+(-5)=(15+2)^2+(-5)=17^2+(-5)=289-5=284, FALSE

3. f(3)=(-3*3+2)^2+3=(-9+2)^2+3=(-7)^2+3=49+3=52, FALSE

4. f(5)=(-3*5+2)^2+5=(-15+2)^2+5=(-13)^2+5=169+5=174, TRUE

Answer:

option 4

Step-by-step explanation:

f(- 2) = (6 + 2)² - 2 = 8² - 2 = 64-2 = 62 ≠ 64

f(- 5) = (15 + 2)² - 5 = 17² - 5 = 289 - 5 = 284 ≠ 29

f(3) = (- 9 + 2)² + 3 = (- 7)² + 3 = 49 + 3 = 52 ≠ - 11

f(5) = (- 15 + 2)² + 5 = (- 13)² + 5 = 169 + 5 = 174 ← True

Does x=3 satisfy 2x-1=4? Explain your reasoning

Answers

Answer:

No.

Step-by-step explanation:

Plug in 'x' for 3.

[tex]2(3)-1=4\\\\6-1=4\\\\\boxed{5\neq 4}[/tex]

'x = 3' is not a solution because when plugged in the final product is a contradiction.

Hope this helps.

explain if the radical expression is in simplified form:
[tex]\sqrt{ \frac{13x}{16m^{2} }[/tex]

Answers

Answer:

No the radical is not in simplified form, as the denominator is a perfect square and can be pulled out:

[tex]\sqrt{\frac{13x}{16m^2}}\\= \frac{\sqrt{13x}}{4m}[/tex]

In a position vs time graph, time is always plotted on what axis

Answers

Answer:

x axis

Step-by-step explanation:

time is always independent

Simon and Tess are reading the same book. Two weeks ago, Tess had read 20\%20% more than what Simon had read. Since then, Simon has not read any of the books, and Tess has read 6060 more pages. Now, Tess has read a total of 60\%60% more than what Simon has read. How many pages had each person read two weeks ago? Use the diagram to help you answer the question.

Answers

Answer:

12.4

Step-by-step explanation:

Answer:

This is wrong because there is a question that asks how many pages did simon read and how many did tess read. Tess read 72 pages.

Step-by-step explanation:

Cameron is a high school basketball player. How many points would Cameron score
in a game if he made 6 two point shots and 5 free throws (worth one point each)?
How many points would Cameron score in a game if he made a two point shots and y
free throws?

Answers

Answer:

30 I THINK

Step-by-step explanation:

Answer 30 i hopeee

I hope that helps lol

Combine like terms in the expression –5x + 2y + 5x – 8y.

Answers

Answer:

10x -6y

Step-by-step explanation:

5x + 5x = 10x

2y - 8y = -6y

Hope this helps! ^^

The sum of two numbers is 88. The difference of those same two numbers is 60. Which answer choice
shows both numbers?

Answers

Step-by-step explanation:

Let the 2 numbers be X and Y

X+Y=88

X-Y=60

______

2X. = 148. X=74

Put the value of X to find Y

74+Y=88

74-Y = 60 :. Y = 14

=>X=74

=>Y=14

Ava is a high school basketball player. In a particular game, she made some three
point shots and some two point shots. Ava made a total of 12 shots altogether and
scored a total of 28 points. Determine the number of three point shots Ava made and
the number of two point shots she made.

Answers

Answer:

2(x+31)+3x+1=83

2x+62+3x+1=83

5x=83-62-1

5x=20

x=20/5

x=4 3-points made.

4+31=35 3-points made.

Proof:

2*35+3*4+1=83

70+12=1=83

83=83 hope this helps

Answer:

Ava made 4 three point shots and 8 two point shots.

find the value of x in each of the given triangles. ​

Answers

Answer:

321hftgkrrgr

Step-by-step explanation:kkkkk

plz help i need help

Answers

A(3,1) B(2,5) C(4,4)

HELP PLEASE
Carolina completed the right column of the table to help her translate the number 5.073 to word form.
Step 1: State the number before the decimal point. "Five"
Step 2: Write the word "and."
Step 3: State the number after the decimal point.
Step 4: Write the place value of the last digit.
Step 5: Combine steps 1 to 4 to write the number.
"and"
"seventy-three"
"hundredths"
"Five and seventy-three
hundredths"
In which step was the first error made?
O Step 1
O Step 3
O Step 4
Step 5

Answers

Answer:

..mrnekrvgnw4,grmsfc

Step-by-step explanation:

Help please !!!! Show work for brainly tysm<3

Answers

Answer:

18 1/2

Step-by-step explanation:

110/3 - 109/6 = 220/6 - 109/6 = 111/6

111/6 simplified = 18 1/2

The table shows the time Phillip spent driving and the number of miles he drove. He drove the same number of miles each hour.How many miles did he travel each hour?
39 miles per hour
52 miles per hour
65 miles per hour
81 miles per hour

Answers

52 miles is the right question for this one!

What is the least common denominator (LCD) of 12 and 23?


5


6


12


18

Answers

Answer: none of those, 276...?

Step-by-step explanation:

You need to know the least common denominator (LCD) of 12 and 23 if you want to add or subtract two fractions with 12 and 23 as denominators.

The least common denominator, also called lowest common denominator (LCD), of 12 and 23 is 276.

Here is a math problem example where you need to know the LCD of 12 and 23 to solve:

3/12 + 2/23 = ?

Step 1) Take the LCD and divide each denominator by it as follows:

276/12 = 23

276/23 = 12

Step 2) Multiply each nominator with the respective answers from Step 1:

3 x 23 = 69

2 x 12 = 24

Step 3) Put it all together to solve the problem:

69/276 + 24/276 = 93/276

= 3/12 + 2/23 = 93/276

It's that easy! Once again, the lowest common denominator (LCD) of 12 and 23 is as follows:

276

I am giving 100 points to whoever solves this first, I really need help please help!!!

Answers

Answer:

-7 (y-7)

Step-by-step explanation:

-11(-3-3x)

2/x-9 * 5/x-4

and i got that answer up there!

Answer:

[tex] {({x}^{ \frac{1}{6}})}^{9}\times \sqrt[6]{ {x}^{9} } \\ {x}^{ \frac{9}{6} } \times {x}^{ \frac{9}{6} } \\ {x}^{ \frac{(9 + 9)}{6} }\\ {x}^{ \frac{18}{6} } \\ \boxed{{x}^{3}}✓[/tex]

x³ is the right answer.

Solve each inequality and graph its solution.
-5 - 2x > -13

Answers

Answer:

Step-by-step explanation:

The table shows the number of cruise ships in a harbor on various days.

Monday: x-4
Tuesday: x+9
Wednesday: 2x
Thursday: 3x-7
Friday: 4

Write an expression for the total number of cruise ships in the harbor on all 5 days.

Answers

Answer:

7x + 2

Step-by-step explanation:

Hope this helps,

have a great day,

Please subscribe to Random Topics Trending on youtub.

The answer is 7x + 2

PLEASE HELP WILL GIVE BRAINLIEST (QUESTION IN PICTURE)

Answers

Answer:

The vine is growing faster than the tree.

Step-by-step explanation:

According to the chart, the Slope-intercept form of the tree is y = 4x + 2.

The slope intercept of the vine is y = 5x + 3. Therefore, the vine is growing at a faster rate.

Find the value of x.

#9,10,11,&12

Answers

Answer:

Step-by-step explanation:

9). It's given in the triangle → Two angles are equal in measure

   Therefore, by the definition of an isosceles triangle, opposite sides of the equal angles are equal in measure.

   x = 12

10). Two sides of the given triangles are equal in length.

    By the definition of an isosceles triangle, opposite angles of the equal sides of the triangle will be equal in measure.

    Therefore, y = 55°

    By the triangle sum theorem,

    x° + y° + 55° = 180°

    x° + 55° + 55° = 180°

    x = 180 - 110

    x = 70°

11). By the definition of an isosceles triangle, opposite sides of the equal angles will be equal in measure.

    x + 3 = 12

    x = 9

12). By the definition of an isosceles triangle, opposite angles of the equal sides of the triangle will be equal in measure.

    m∠2 = 53°

    x + 65 = 53

    x = 53 - 65

    x = -12

The price of a new car was £11 800
It is reduced to £10 384
Work out the percentage reduction.​

Answers

Answer:

12 % reduction

Step-by-step explanation:

11800 - 10384 = 1416

1416 / 11800 = 0.12

0.12 × 100 = 12

Your answer will be 12

An airplane travels at 120 km/hr for 2 hours in a direction of 260° . At the end of this time, how far south.Of the airport is the airplane

Answers

Answer:

the airplane is 130.56 km south of the airport after 2 hours

Step-by-step explanation:

given data

travel speed = 120

time travel = 2 hour

direction = 260°

solution

we get here direst distance covered by plane in 2 hours that is

distance cover = 120 × 2

distance cover = 240 kilometers

and

the south component of the distance will be here as

distance = 240 × sin(270 - 260) = - 130.56

so the airplane is 130.56 km south of the airport after 2 hours

What is the area of the figure?in
square units

Answers

Answer:

14 square units

Step-by-step explanation:

Answer:

0.5 X 6 X 2 = 6 square units

Which statements about circle O are true? Select three options. The radius of circle O is 13. The diameter of circle O is 34. LP is a diameter of circle O. ∠LMP intercepts a semicircle. The measure of arc LP is 90°.

Answers

Answer:

The radius of circle O is 13

LP is a diameter of circle O.

∠LMP intercepts a semicircle.

Step-by-step explanation:

The missing image is attached in the diagram below.

From the diagram;

we can determine the length LP by using the Pythagoras theorem.

i.e.

hypotenuse² = opposite² + adjacent²

LP² = ML² + MP²

LP² = 24² + 10²

LP² = 576 + 100

LP = [tex]\sqrt{676}[/tex]

LP = 26

Since line LP cuts the circle into two equal halves, we can say the line LP is the diameter of circle O.

if the diameter (LP) = 26

Then, the radius r = 26/2 = 13

The radius of circle O is 13.

Similarly, the arc LMP is 180° (∵ inscribed angle is 1/2 the measure of central angle), and LMP is 180°, then ∠LMP intercepts a semicircle.

Answer: A) The radius of circle O is 13.

              C) LP is a diameter of circle O.

              D) ∠LMP intercepts a semicircle.

Step-by-step explanation:

om edge

Complete the sentences to explain how to multiply 4.56 x 1,000

Answers

Answer 4560

Step-by-step explanation:

Take 1,000 over 4.56 and mutiply  6 times all the zeros wich gets

Take 6 times 1 and thats 6

And repeat that until you run out of dights which in this case is just 4.56

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