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

Marcus looked out in the audience and saw 40% of the chairs were filled. There were 42 people sitting in the chairs. Enter the total number of chairs in the audience.

Answers

Answer:

I say it is 16.8

Step-by-step explanation:

40 x 42

100

= 16.8

The total number of chairs in the audience is 105.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Marcus looked out into the audience and saw 40% of the chairs were filled and 42 people are sitting in the chairs.

Let, 'x' be the total number of chairs.

Therefore, 40% of 'x' is 42 which can be numerically expressed as,

(40/100)×x = 42.

0.4x = 42.

x = 42/0.4.

x = 105.

So, The total number of chairs in the audience is 105.

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Point J(-4,-6) and point K(4,4) are located on a coordinate grid

Which measurement is closest to the distance between point J and point K in units?
A) 18 units
B) 6 units
C) 13 units
D) 9 units

Answers

This answer is C) 13 units

Please help
Regroup and write your answer in simplest form

Answers

First you should write 2 3/4 as a decimal, 2.75 then multiply 2.75 by 2 to get 5.5. 5.5 equals 5 1/2.
Ms. Addison needs 5 1/2 cups of flour.

What is a irrational and rational number?

Answers

Answer: pi and e are irrational whereas 3/9 repeats like 420/1001 but are rationalized into the fractions above ratio is a fraction

Step-by-step explanation:

What is the slope of the line that passes through the points (5, -10) and (-3,-10)? Write your answer in simplest form.

Answers

Answer:

From Calculating, the slope would be 0.

Step-by-step explanation:

           This is because of the fact that the two points create a straight line across the x-axis. The points do not have any distance up or down, the only distance is 8 units across. The slope would be 0 because there isn't a slope, only a distance. Hope this helps.

5x(12-4)+3=
Can someone please help me with this

Answers

The exact value is 40x + 3
Here you go that’s yo answer 40x+3

For one week, Xavier rode his bike 5,25 miles each weekday and a total of 13 miles on the
weekend. How many total miles did Xavier ride his bike that week?

Answers

5.25 + 13

= 18.25

Xavier rode his bicycle for a total of 18.25mi in one week.

really need help on this so please help as soon as you can thanks

Answers

Answer:

Option A

Step-by-step explanation:

From the last triangle given in the picture,

x° = 45° + 85° [By the definition of exterior angle of a triangle]

x = 130°

Another way to get the value of x,

By triangle sum theorem,

45° + 85° + y° = 180°

y° = 180° - 130°

y = 50°

And (x° + y°) = 180° [linear pair of angles]

x + 50 = 180

x = 130°

Therefore, x = 130° because 180 - (45 + 85) = 50 and 180 - 50 = 130

Option A is the answer.

Please help I really need it

Answers

Answer:

the slope is 3

Step-by-step explanation:

Answer:

m = -1/3

Step-by-step explanation:

You have the right idea with the rise and run. We have a run of 15 and a rise (or I guess in this case, a decline) of -5. Slope is rise over run:

-5/15 = -1/3

This means we have a slope of -1/3.

Alternatively, we could just the points and put them into the slope formula.

We have the points (0,25) and (15,20). We can substitute those values into the formula:

m = y₁ - y₂ / x₁ - x₂

m = 25 - 20 / 0 - 15

m = 5/-15

m = -1/3

Works all the same.

Triangle MNP is graphed on a coordinate grid with vertices at M(12, -6), N(3, 3) and P(-6,12). Triangle MNP is dilated by a scale factor of q with the origin as the center of dilation to create triangle M’N’P’. Which ordered pair represents the coordinates of the vertex P’?


A. (12 − q, -6 – q)

B. (-6q, 12q)

C. (3q, 3q)

D. (12q, -6q)

Answers

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Answer:

  B.  (-6q, 12q)

Step-by-step explanation:

The dilation factor (q) multiplies each of the coordinates:

  (x, y) ⇒ (qx, qy)

  P(-6, 12) ⇒ P'(-6q, 12q)

Can you Find the value of x I don’t know the answer

Answers

Answer:

x = 5

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

x+4−3x=3x−6−3x

−2x+4=−6

Step 2: Subtract 4 from both sides.

−2x+4−4=−6−4

−2x=−10

Step 3: Divide both sides by -2.

−2x /−2 = −10 /−2

x = 5

The owner of a plant nursery wrote down the number of roses on each bush Roses per bush 115 5 25 45 078 4 5 6 6 269 0223 what the smallest number of roses​

Answers

Answer:

4

Step-by-step explanation:

What is the sum of 8 yards and 5 feet?

10 yards
13 yards
21 feet
29 feet

Answers

8 yards = 24 feet
24+5= 29

Use synthetic division to solve
x3- x2 - 17x-15)+(x-5). What is the quotient?
x2 + 4x + 3
x² - 6x + 13 - 180
x3+4x2+3x x2 - 6x+13-80
X+ 5

Answers

Answer:

x² + 4x + 3

Step-by-step explanation:

Dividing by (x - 5) then use h = 5 as divisor

5 | 1    - 1    - 17    - 15

    ↓     5     20     15

   -------------------------------

     1     4      3       0 ← remainder = 0

quotient = x² + 4x + 3

[tex]x^{2} +4x+3[/tex] is the quotient when [tex]x^{3} - x^{2} -17x-15[/tex] is solved using synthetic division.

What is synthetic division?

Synthetic division is a simplified method for dividing a polynomial by another polynomial of the first degree by writing down only the coefficients of the several powers of the variable and changing the sign of the constant term in the divisor so as to replace the usual subtractions by additions.

Synthetic division of the given question-

5    |     1        -1        -17        -15

                     5         20        15

---------------------------------------------

           1         4         3           |0|          

Remainder = 0

Quotient = [tex]x^{2} + 4x+3[/tex]

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46.32 - 31.16 rounded

Answers

Answer:

15

Step-by-step explanation:

sweet

IF YOU ANSWER THE THE QUESTIONS I WILL MARK YOU THE BRAINILY PLSSS HELP

Answers

Answer:

4. Obtuse

5. Right

6. Acute

Step-by-step explanation:

Pythagorean Theorem.

a^2 + b^2 = c^2

a + b > c = Acute

a + b < c = Obtuse

a + b = c = Right

what is the solution of -3 =x +5 ?

Answers

-3 = x + 5

Solve for x by subtracting 5 from both sides:

X = -8

Answer:

-8

Step-by-step explanation:

;)

please solve this
20×10=​

Answers

Answer:

20 × 10 = 200

Step-by-step explanation:

Multiply 2 × 1 = 2 and then add the two zeros onto the end to get 200.

I NEED HELP ASAP

What is the slope-intercept equation?

A). y= -8x - 3

B). y= -5/4x + 8

C). y= 4/5x - 8

D). y= -4/5x + 8

Answers

Answer:

C. y=4/5x + 8 is the answer

Answer:

The answer is D: y= -4/5x + 8

There are 161600 drivers in uk over 75 years off age

Answers

What’s the question? Set a statement

Is it bad to have a math assignment you don't get?

Answers

Answer:

Yes, if yo get an assignment that you don't get, ask the teacher to explain it to you.

Step-by-step explanation:

Um no it’s not you probably didn’t need that.

Casi drove 135 miles in 3 hours. Use a proportion to find how long it would take her to drive 360 miles at the same speed.

Answers

Answer:

8 hours

Step-by-step explanation:

We are given that

Casi traveled distance in 3 hours=135 miles

We have to find the time taken by Casi to drive 360 miles at the same speed using proportion .

Let time taken by Casi to drive 360 miles=x

We know that

Speed=[tex]\frac{Distance}{time}[/tex]

Using proportion

[tex]\frac{a}{b}=\frac{c}{d}[/tex]

[tex]\frac{135}{3}=\frac{36}{x}[/tex]

[tex]x=\frac{360\times 3}{135}[/tex]

[tex]x=8[/tex]

Hence, the time taken by Casi to drive 360 miles=8 hours

If f(x) = 2x + 3, what is f(-2)?

Answers

Answer:

7

Step-by-step explanation:

Answer:

no answer

Step-by-step explanation:

2(-2)+3=-2

simplify

-4+3=-2

simplify

-1=-2

No answer

If there's something along the lines of no answer and it's multiple choice click that.

blank + blank = internal energy​

Answers

Answer:

kinectic + electric = internal

Step-by-step explanation:

Internal energy U of a system or a body with well defined boundaries is the total of the kinetic energy due to the motion of molecules and the potential energy associated with the vibrational motion and electric energy of atoms within molecules. Internal energy also includes the energy in all the chemical bonds.

Answer:

The internal energy of a system is identified with the random, disordered motion of molecules; the total (internal) energy in a system includes potential and kinetic energy. This is contrast to external energy which is a function of the sample with respect to the outside environment (e.g. kinetic energy if the sample is moving or potential energy if the sample is at a height from the ground etc). The symbol for Internal Energy Change is ΔU .

Energy on a smaller scale

Internal energy includes energy on a microscopic scale

It is the sum of all the microscopic energies such as:

translational kinetic energy

vibrational and rotational kinetic energy

potential energy from intermolecular forces

One gram of water at zero °Celsius compared with one gram of copper at zero °Celsius do NOT have the same internal energy because even though their kinetic energies are equal, water has a much higher potential energy causing its internal energy to be much greater than the copper's internal energy.

Hello !!!!!!Please help me ASAP

Answers

Answer:

A

Step-by-step explanation:

I hope this helped you out

Can someone answer this please

3. Michael says he can move ABCDE onto A"B"C"D"E" with one transformation by translating ABCDE diagonally so that it moves 8 units up and 10 units right. Is he correct? Explain why or why not.

Answers

Answer:

Yes, he is correct

Step-by-step explanation:

if you translate each letter ABCDE to A"B"C"D"E" exactly how he stated it turns out right. For example, C just go 8 squares up and then 10 to the right and do the same for the rest.

Answer:

Michael is incorrect;  The shape would have to be flipped at some point, seeing as point B on ADCDE is on the bottom of the shape, whereas point B" on A"B"C"D"E" is on the top of the shape.

Hope this helps, have a nice day!

Step-by-step explanation:

Wait a sec... I'm Michael, so am I right or am I wrong...? (Big confuse)

Solve the system using substitution. Put in point form.
2x - 7y = 13
3x + y = 8

Answers

are they being multiplied or added or subtracted?

Answer:

(3, -1)

Step-by-step explanation:

3x +y = 8

-3x   =-3x

Y=-3x +8 Substitute into 1st equation           y=-3x+8

2x-7(8-3x+8)= 13                                                 -3(3) + 8

2x-56+21x= 13                                                       -9 +8

23x-56 =13                                                        y = -1    

     +56= +56

23x   =      69

23             23

   x = 3

solution (3, -1)

A train left a station at 8:13 a.m. arriving at its destination at 4:52 p.m. If the stations are 527.65 miles apart, calculate the average
speed at which the train traveled.
A. 71 miles/hour
B. 69 miles/hour
C. 51 miles/hour
D. 61 miles/hour

Answers

9514 1404 393

Answer:

  D.  61 mi/h

Step-by-step explanation:

The travel time is 16:52 -8:13 = 8:39 hours, or 8.65 hours. Then the speed is ...

 speed = distance/time = 527.65 mi/(8.65 h) = 61 mi/h

_____

Additional comment

It is often convenient to use "military" or "24-hour" time for calculations of time periods that extend over noon or midnight. For this purpose, 12 gets added to the hour number in the afternoon (pm). Of course, 39 minutes is 39/60 hours. That is found to be 0.65 hours by performing the division of 39 by 60.

725% work in an organisation 52% of employees or post graduate and the remaining are not post graduate find the number of employees were not post graduate

Answers

Answer: 348

Step-by-step explanation:

Given : Total employees work = 725

Proportion of employees are post graduate = 52%

Proportion of employees are not post graduate = 100%-52% = 48%

The number of employees were not post graduate  = 48% of 725

= 0.48 x  725

= 348

Hence, the number of employees were not post graduate  = 348

Selena went to our Diner. She ordered a hotdog and cheeseburger. How much did she spend at lunch?

Answers

Answer:

13.75

Step-by-step explanation:

6.25+7.50=13.75

Answer:

$11.05

Step-by-step explanation:

The hot dog is $3.55, and the cheeseburger is $7.50. Thus, adding them together, the whole total is $11.05.

Hope this helps

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