You can retry this question below
The sum of two numbers is 71. The difference of the two numbers is 41. What are the two numbers.
Let x be the larger number and y be the smaller number.
Write an equation that expresses the information in the sentence "The sum of two numbers is 71."
Write an equation that expresses the information in the sentence "The difference of the two
numbers is 41."
Solve the system you have written above.
The larger number, x is
The smaller number, y is
Calculator

Answers

Answer 1

Answer:

x = 56

y = 15

Step-by-step explanation:

"The sum of two numbers is 71."

x + y = 71

"The difference of the two  numbers is 41."

x - y = 41

Solve the system:

From the first eq.

x = 71 - y

Replacing this value in the second eq.

(71-y) - y = 41

71 - 2y = 41

71 - 41 = 2y

30 = 2y

y = 30/2

y = 15

From the second eq.

x - y = 41

x - 15 = 41

x = 41 + 15

x = 56

Check:

from the first eq.

x + y = 71

56 + 15 = 71


Related Questions

1. Construct the Isosceles triangle from given data below : Altitude = 55mm Perimeter = 135mm​

Answers

Answer:

  base: 22 37/54; sides: 56 17/108

Step-by-step explanation:

If we let x represent half the length of the base, and y represent the length of the side, then we have ...

  2x +2y = 135 . . . . . perimeter relation

  x^2 +55^2 = y^2 . . . . Pythagorean theorem relation

Solving for y and substituting into the second equation, we have ...

  y = 135/2 -x

  x^2 + 3025 = (67.5 -x)^2

  3025 = -135x +4556.25 . . . . . . expand, subtract x^2

  135x = 1531.25 . . . . . . . . . . add 135x -3025

  x = 1531.25/135 = 11 37/108

The length of the base is double this value, 22 37/54.

The length of each side is 67.5 -11 37/108 = 56 17/108.

__

Check

The perimeter is the base plus two side lengths:

  22 37/54 + 2(56 17/108) = (22 +112) +37/54 +17/54 = 134 +1 = 135.

5x – 2y = 30
Complete the missing value in the solution to the equation. (8, ?)​

Answers

Answer:

5

Step-by-step explanation:

Hope this helps

Answer:

(8,5)

Step-by-step explanation:

x=8

5*8-2y=30

40-2y=30 .      subtract 40 from both sides

-2y=-10 .           divide both sides by-2

y=5

18x-3y=9 Y=6x-3 what is the answer

Answers

Answer:

NP (Not possible)

Step-by-step explanation:

When you find 'X', by inserting '6x-3' into the 'Y', you get:

18x - 3(6x-3) = 9

distribute:

18x -18x + 9 = 9

Subtract 9 from 9 = 0

Add like numbers (the x's), and it equals 0

0=0

You can't find x, rendering the equation 'NP'

Hopefully this answer is right and an option :)

Each figure shows a pair of similar triangles, one contained in the other.
For each pair, describe a point and a scale factor to use for a dilation
moving the larger triangle to the smaller one. Use a measurement tool
to find the scale factor.

Answers

Dilation involves enlarging or reducing the size of a shape.

The scale factor of dilation is 1/6

From the complete question, the side lengths of corresponding sides of both triangles are:

[tex]AC =18cm[/tex]

[tex]AC' =3cm[/tex]

This means that, the larger triangle is ABC, while the smaller triangle is AB'C'.

So, the scale factor of dilation from the larger triangle to the smaller triangle is:

[tex]k = \frac{AC'}{AC}[/tex]

This gives

[tex]k = \frac{3cm}{18cm}[/tex]

Remove the common units

[tex]k = \frac{3}{18}[/tex]

Reduce fraction

[tex]k = \frac 16[/tex]

Hence, the scale factor of dilation is 1/6

Read more about dilation at:

https://brainly.com/question/3457976

1
Find the indicated values for f(x) = -X.
-
a.
b.
f(0)
f(22)
f(-22)
C.
a.
f(0) =
=

Answers

Answer:

f(0) = 0

f(22) = 11

f(-22) = -11

Step-by-step explanation:

Substitute the values for x.

[tex]1.)~f(0)=1/2(0)=0\\\\2.)~f(22)=1/2(22)=11\\\\3.)~f(-22)=1/2(-22)=-11[/tex]

Select True or False to correctly classify each inequality.
Inequality True False
2.6≤2.6 true or false
−6<−6true or false
3.1>−3.1 true or false
−5≥--5 true or false

Answers

[tex]2.6\le2.6[/tex] classifies as [tex]\text{true}[/tex]

[tex]-6<-6[/tex] classifies as [tex]\text{false}[/tex],

[tex]3.1>-3.1[/tex] classifies as [tex]\text{true}[/tex]

so [tex]-5\ge -5[/tex] classifies as [tex]\text{true}[/tex]

To classify the statements, we need to evaluate each of them:

[tex]\text{Evaluate }2.6\le2.6\\\implies (2.6<2.6)\text{ or }(2.6=2.6)\\\implies \text{false or true}\\\implies\text{true}[/tex]

so [tex]2.6\le2.6[/tex] classifies as [tex]\text{true}[/tex], since the statement also allows [tex]2.6[/tex] to be equal to itself.

[tex]\text{Evaluate }-6<-6\\\implies\text{false}[/tex]

so [tex]-6<-6[/tex] classifies as [tex]\text{false}[/tex], since [tex]-6[/tex] is equal to itself, not smaller.

[tex]\text{Evaluate }3.1>-3.1\\\implies \text{true}[/tex]

so [tex]3.1>-3.1[/tex] classifies as [tex]\text{true}[/tex], since [tex]x>-x[/tex], for all real numbers

[tex]\text{Evaluate }-5\ge-5\\\implies (-5>-5)\text{ or }(-5=-5)\\\implies \text{false or true}\\\implies\text{true}[/tex]

so [tex]-5\ge -5[/tex] classifies as [tex]\text{true}[/tex], since the statement also allows [tex]-5[/tex] to be equal to itself.

Learn more about inequalities here: https://brainly.com/question/24786628

En un barrio de 3.120 habitantes, se realizó una encuesta a 620 sobre la preferencia
por comer huevo al desayuno todos los días, contestando que, si le gusta 18 personas,
probablemente en el barrio, ¿cuántas personas prefieren lo mismo?

Answers

Es probable que el número de personas a las que si les gusta comer huevo al desayuno todos los días sea 90 personas.

Según principios estadísticos, es posible determinar una tendencia general utilizando una muestra de la población. En otras palabras, es posible tener una idea aproximada de las preferencias de una población si se logran determinar las preferencias de un pequeño grupo de dicha población.

En este caso sabemos que la población total equivale a 3120 habitantes, la muestra equivale a 620 personas y en la muestra 18 personas comen huevo al desayuno todos los días.

Usando una regla de tres podemos determinar la tendencia general:

Si a 18 personas de 620 les gusta comer huevo todos los días al desayuno, a cuántas personas de 3120 les gusta lo mismo.

18 = 620x = 3120

x = 18 x 3120 / 620x = 56160 / 620x=  90

Es decir que aproximadamente 90 personas tienen esta misma preferencia.

Aprenda más de estadística en: https://brainly.com/question/10678542

PLEASE, LAST POINTS! ( GIVING BRAINLIEST) TO GET BRAINLIEST ANSWER 6 and 8 PLEASE. LAST 10 POINTS!

Answers

Answer:

6; 6⁒2

10; 10⁒2

0; 3(0)+3

1; 3(1)+3

2; 3(2)+3

3; 3(3)+3

4; 3(4)+3

Step-by-step explanation:

each line is in order.

Answer:

  6. inputs: 2, 6, 10

  8. inputs: 0, 1, 2, 3, 4

Step-by-step explanation:

Use your knowledge of arithmetic facts.

6.

x = 2, 2÷2 = 1

x = 6, 6÷2 = 3

x = 10, 10÷2 = 5

__

8.

x = 0, 3×0 +3 = 3

x = 1, 3×1 +3 = 6

x = 2, 3×2 +3 = 9

x = 3, 3×3 +3 = 12

x = 4, 3×4 +3 = 15

please ignore the work below it!! i am pretty sure it’s wrong!!

Answers

I’m sorry let me think This is so confusing i’ll try and solve it

what is the slope of a line with points (0,3) and (5,18)

Answers

Answer:

bye

Step-by-step explanation:

Andrew loses
31 pencils in
October
What is the
lose rate per
day?

Answers

Answer:

1

Step-by-step explanation:

there are 31 days in October so if he loses one each day he loses 31

What is the value of y? 2 R C A. 60° B. 120° C. 369 D. Cannot be determined​

Answers

Answer:

60 degrees

Step-by-step explanation:

edge

i really need help with these two questions pleeeaassseeee

Answers

Answer:

10 is B

11 is D

Step-by-step explanation:

Help!!

What is the value of -2 xy if x = -1 and y = 6?

-12
12
8
26

Answers

Answer:

12

Step-by-step explanation:

-2xy

Let x = -1 and y =6

-2 ( -1) (6)

Multiply

2 (6)

12

six and seven on this wkst!!!!!

Answers

Answer:

6.) x=5/4

7.) x=-6

Also, since your worksheet in paratheses says it would help to graph number 7, I attached a graph for it. :)

Step-by-step explanation:

Just ask!

Hope this helps. :))

Sorry if I'm wrong.

~Happy Holidays!!~ o(* ̄▽ ̄*)ブ

Find the residual values, and use the graphing calculator tool to make a residual plot. A 4-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries negative 2. 7, negative 0. 9, 1. 1, 3. 2, 5. 4. The third column is labeled predicted with entries negative 2. 84, negative 0. 81, 1. 22, 3. 25, 5. 28. The fourth column is labeled residual value with all entries blank. Does the residual plot show that the line of best fit is appropriate for the data? No, the points are in a curved pattern. No, the points are evenly distributed about the x-axis. Yes, the points are in a linear pattern. Yes, the points have no pattern.

Answers

The residual of a regression is the difference between the actual value and the predicted value

The true statement about the residual plot is (c) Yes, the points are in a linear pattern

The entries are given as:

x  Given  Predicted    Residual

1    -2.7         -2.84              

2    -0.9         -0.81            

3     1.1            1.22              

4     3.2          3.25              

5     5.4          5.28

The residual of a line of best fit is calculated using:

[tex]Residual = Actual - Predicted[/tex]

Using the entry headings, the formula would be:

[tex]Residual = Given - Predicted[/tex]

So, the residuals of the 5 entries are:

[tex]Residual_1 = -2.7 - -2.84 =0.14[/tex]

[tex]Residual_2 = -0.9 - -0.81 =-0.09[/tex]

[tex]Residual_3 = 1.1 - 1.22 =-0.12[/tex]

[tex]Residual_4 = 3.2 - 3.25 =-0.05[/tex]

[tex]Residual_4 = 5.4 - 5.28 =0.12[/tex]

So, the entries become:

x  Given  Predicted    Residual

1    -2.7         -2.84             0.14

2    -0.9         -0.81            -0.09

3     1.1            1.22             -0.12

4     3.2          3.25           -0.05

5     5.4          5.28            0.12

See attachment for the residual plot.

From the plot, we can see that the points are in a linear pattern.

Hence, the true statement about the residual plot is (c)

Read more about residuals at:

https://brainly.com/question/4333650

please help Me make sure you put the correct answer

Answers

Answer:

26

Step-by-step explanation:

3*8=24+2=26

i need help as u can tell all the erasing

Answers

Answer:

x=10

Step-by-step explanation:

We know that the values will be the same because of a geometry rule (i don't remember which one sorry) so we can rewrite the equation as

6x=5x+10      Then, subtract 5x from both sides

x=10

I'm assuming this is what the question is asking

21.6% of all registered doctors were female, if there were 45,200 females registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number

Answers

Answer:

209259

Step-by-step explanation:

45200 / 21.6 = 209259.259259

209259.259259 rounded to nearest whole number = 209259

Hehehehehsheh help pls need help asap

Answers

Answer:

c

Step-by-step explanation:

hope this helps

5c−4c+c equavilent like terms

Answers

Answer:

yes they are like terms

Step-by-step explanation:

they are like terms as the variables are same 5c-4c+

Hello there!

Solve by Combining Like Terms:[tex]5c-4c+c[/tex][tex]5c-3c[/tex][tex]2c[/tex]Therefore, 2c is the answer.

Hope it helps.

Good luck with your studies.

Answered by

~A lonely teen who helps people joyfully

Grace

PLS ANSWER URGENT

1. Larry writes a list of numbers that has average 14, median 21 and mode 11

(a) Moe creates a list by adding 12 to each number in Larry’s list. What is the average, median and mode of Moe’s list?


(b) Curly creates a list by multiplying each number in Larry’s list by 2, what are the average, median and mode of Curly’s list?

Answers

Answer:

See step-by-step below!

Step-by-step explanation:

a) Moe's list:

Average=26

Median=33

Mode= 23

b) Curly's list

Average= 28

Median= 42

Mode= 22

what are all the roots of the function f(x)= x^3+3x^2-x-3

Answers

Answer:

\mathrm{Domain\:of\:}\:x^3+3x^2-x-3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}

Step-by-step explanation:

I don't know how to solve this please help.

Answers

Answer:

56 miles

Step-by-step explanation:

Let x is the total distance Sam will travel today

Sam has already biked 12 + x/4 miles

He needs to bike 3x/8 (x.3/8) + 9 miles

12 + x/4 + 3x/8 + 9 = x

21 + x/4 + 3x/8 = x

21 + 2x/8 + 3x/8 = x

21 + 5x/8 = x

21 = x - 5x/8

21 = 3x/8

21.8 = 3x

168 = 3x

x = 168/3

x = 56 (miles)

Answer:

Step-by-step explanation:

Using the picture below, which angle is alternate exterior to angle 2?

Answers

Answer:

alternate exterior means outside of the two parallel lines so your answer is 7 because alternate means other side of transversal

Please use the graph below and not some other graph. A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour.



Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.

Answers

Answer:

  see attached

Step-by-step explanation:

The graph starts at 5000 gallons on the vertical axis, and increases at the rate of 1250 gallons per hour, or 5000 gallons per 4 hours until 20,000 gallons is reached after 12 hours.

__

Additional comment

We don't have access to your segment tool, so you will have to copy the graph.

119/30
Simplified please help this is urgent

Answers

14/3 or 4(2/3) is the answer
Find the GCD (or HCF) of numerator and denominator
GCD of 119 and 30 is 1
Divide both the numerator and denominator by the GCD
119 ÷ 1
30 ÷ 1
Reduced fraction:
119
30

Therefore, 119/30 simplified to lowest terms is 14/3

Round each amount to the nearest hundred to find an estimate of:

9635 – 4891
A. 4400
B. 4500
C. 4600
D. 4700

Answers

D if the answer
Picture attached

If something cost $37.80, how many tens would you give?

Answers

Answer:

4 tens

Step-by-step explanation:

3 tens would get you $30, which is $7.80 short. If you give 4 tens you are giving $40 which is 2.20 more than $37.80, which is okay as you can probably get change and it is the least amount of tens you can give to cover the cost.

Jason and Mateo went to eat at Sam's Sub Shop. They spent $12.25 for lunch plus 8% tax. If they split the bill evenly, what was the price that each person paid

Answers

Answer:

answer 26

ok now help me

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