MAX POINTS!!! Write and solve a system of equations. Be sure to label the variables. The difference of two numbers is two. Two times the first number plus the second number is thirteen. What are the numbers? Show and explain all work.

Answers

Answer 1

Answer:

5 and 3

Step-by-step explanation:

Let the numbers be x and y.

The equations are:

x - y = 22x + y = 13

Add up the equations to eliminate y and solve for x:

x - y + 2x + y = 2 + 133x = 15x = 15/3x = 5

Now find the value of y:

y = x - 2 y = 5 - 2 y = 3
Answer 2

Let the numbers be a and b

a-b=2--(1)2a+b=13---(2)

Adding both

[tex]\\ \sf\longmapsto 3a=15[/tex]

[tex]\\ \sf\longmapsto a=5[/tex]

Putting in eq(1)

[tex]\\ \sf\longmapsto 5-b=2[/tex]

[tex]\\ \sf\longmapsto b=5-2[/tex]

[tex]\\ \sf\longmapsto b=3[/tex]


Related Questions

58,300 meters to kilometers. Round to the appropriate number of significant digits.

Answers

Answer:

58.3km

Step-by-step explanation:

58300 ÷ 1000 = 58.3km

Given:-

58,300 metres

Converting to kilometers, let's do by:-

[tex] \frac{58300 \: m}{1} \times \frac{1}{1000} km[/tex]

[tex] \frac{58300}{1000} [/tex]

[tex] => 58.3 \: km[/tex]

Therefore, in kilometers, 58300 m = 58.3 km.

✍️ By Benjemin ☺️

a scale drawing of Lafayette square is 8 inches long and 4 inches wide. The actual park is 160 feet wide. What is the actual area of the park, in square yards?

Answers

Answer:

Lafayette Square is about 5688.89 square yards  

Step-by-step explanation:

The scale factor( ratio between the two sides) is 8 inches long to 4 inches wide or 2 to 1;  2 inches to one 1

Given the actual park is 160 feet wide ( need this measurement in inches).

so the actual part is 160 · 12 = 1920 inches wide.

Using the ratio long/ wide = long/ wide 2/1 = ?/1920.  The part is 3840 inches long.

Answer need to be in yards:  divide by 36 because 36 inches = 1 yard.

Long = 3840/36 = 320/3 yards

wide = 1920/36 = 160/3 yards

Actual area = L · W

                   = (320/3)·(160/3)

                   = 51200/9

                    = 5688.89 square yards  

If Jacob buys 6 jalapeño plants, what is the area of the garden'

Answers

Answer:

what is the area that each plant takes up exactly?

please let me know

hello there

looking for help here. ill give brainliest if able to.

Answers

Answer:

5/6

Step-by-step explanation:

[tex]\frac{2}{3} +\frac{1}{6}[/tex] [tex]\frac{2}{3} = \frac{4}{6}[/tex] [tex]\frac{4}{6} + \frac{1}{6}[/tex] [tex]\frac{4+1}{6}[/tex] [tex]\frac{5}{6}[/tex]

Therefore, the answer is 5/6! I hope this helped you.

1.) Find a common denominator: 2x2/3x2+1/6.
2.) Add numerators only: 4/6+1/6= 5/6.
Your answer is 5/6.

on a number line, where would 6/10 be located? choose all the answers that make a true statement.

Answers

Answer:

The answer is B and D

Step-by-step explanation:

If you mark the last line as 5 and the first line (placement) as 0.5 the you'l, see that 6/10 falls on 3/5. And 6/10 is on the left of 8/10.

HELP ME PLEASE !!!! VERY URGENT!!

Answers

a triangle has to have a total of 180 degrees so....

180 - 73 = 107
since the two unknown angle only have a difference of 11 degrees.
107 -> 47 & 59

x = 59 degrees
(x - 11) = 47 degrees

which expression is equal to 2(8n)^4?

Answers

Step-by-step explanation:

2(8n)⁴

=2•8n•8n•8n•8n

Hope it helps ya

2 · 8n · 8n · 8n · 8n

Step-by-step explanation:

2(8n)⁴

= 2 · 8n · 8n · 8n · 8n

Solve for X


Marking you the brainliest​ provided you got it right and with step by step explanation

Answers

Step-by-step explanation:

Value of x:

x = 180 - 140 = 40 (linear pair)

Value of y:

180 - 40 + 180 - 28 = 292 (sum of supplementary angles with x and 28)

Convert the metric measurements.
5,300 ml = L
6.72 kg = G
.0418 m = mm

Answers

The first one is 5.3 litres
Second one is 6720 grams
Third one 41.8mm

Hope this helps

Does anyone know how to do this problem? If so please help so I could get it? Not only the answer but like the formula on how you get it step by step

Answers

Kg=1000g
0.25kg x1000g= 250g

4g + 8cm squared

.......................................................................................................................................................................

Answers

Answer:

I think the answer is 25

Step-by-step explanation:


You've poured some 8% (by mass) alcohol solution and some 12% alcohol solution into a large glass mixing container. Now you have 760
grams of 10% alcohol solution. How many grams of 8% solution and how many grams of 12% solution did you pour into the mixing container?

Answers

Step-by-step explanation:

you mixed an 8% and a 12% solution together.

so, you get (8%×mass1 + 12%×mass2)/((mass1 + mass2)/2) as resulting % of the combined solution.

since the result is 10%, which is precisely the arithmetic middle

(8 + 12)/2

we see that mass1 = mass2.

in other words : the same quantity (mass) of the 8% solution and the 12% solution was mixed together.

so, 760g = 2×mass

=>

mass = 380g

380g of the 8% solution and 380g of the 12% solution were mixed together.

Which of the following expressions are equivalent to −3.5(2 − 3n) − 2.5n?

A. −7 − 8n
B. −7 + 8n
C. −7 − 13n
D. −7 − n(10.5 − 2.5)
E. −7 + n(10.5 − 2.5)

Answers

B. -7 + 8n is equivalent

Solve pls brainliest

Answers

Answer:

6.1, 6.107, 6.17, 6.1722

Step-by-step explanation:

Hope this helps! :)

find the value using suitable properties 1568x84-1568x84​

Answers

Hey Dear ❤️❤️

Here is your answer

0 zero

Mark as brainlist ❤️❤️

The solution to 1568 × 184 - 1568 × 84 using suitable properties is; 156800

Distributive Properties

We want to solve;

1568 × 184 - 1568 × 84

Now, to solve this, we need to understand distributive property which is;

a(b + c) = ab + ac

Thus, applying distributive property to our question, we will have;

1568(184 - 84)

>> 1568(100)

>> 156800

In conclusion, the solution is 156800

Read more about distributive properties at; https://brainly.com/question/2807928

Someone help me PLEASE it’s DUE

Answers

Answer:

20 inches

Step-by-step explanation:

When the instructions say a triangle is similar, it basically means they are exactly the same unless otherwise specified.

With this, we just need to find the ratio.

We can see that DE is 6 inches while AB is 18 inches.

This means that the ratio between DEC and ABC is 1:3, respectively.

So if AC is 30, that means DC should be 10.

All we have to do now is subtract DC from AC to find AD

30 - 10 = 20

So AD is 20 inches

I'm pretty sure there is a more mathematical approach to this but this is good enough to solve any problem like this.

Answer:

20 inches

Step-by-step explanation:

Set up a proportion

BA/AC = ED/DC

You are given that BA = 18, AC = 30, ED = 6

18/30=6/

18/6 = 3

30/3 = 10 = DC

Sense DC = 10

AC-DC

30-10=20

Evaluate 725+ 41092 -5688​

Answers

Answer:

36129

Step-by-step explanation:

Quickkk?!!
For each equation, determine whether it is linear.

Answers

Answer:

a. Linear

b. Linear

c. Non-linear

d. Linear

Answer:

a. Linear

b. Linear

c. Not Linear

d. Linear

f
(
x
)
=

2
x
2
+
2
x
+
4

Answers

Answer:

x=0

Step-by-step explanation:

f(x)=−2x2+2x+4

0=-4+2x+4

x=0

what is the gcf of 147y^4, 98y^3

Answers

Answer:

49y^3

Step-by-step explanation:

Solve each system of equations by using elimination. 2x + y = 2 3x – 2y = –11

Answers

Answer:

I'm pretty sure the answer is {x, y} = {-7, -16}

Step-by-step explanation:

2x - y = 2

[other explanation] 3x - 2y = 11

Hope this helps

1600 in expanded form

Answers

Answer:

In expanded form, the number 1600 can be shown as

1000

+ 600

+ 00

+ 0

Solye for x.

5(x+1)

Answers

Answer:

x =1

Step-by-step explanation:

A scuba diver descends in the water at a rate of 20 1/2 feet per minute for 2.8 minutes. He immediately changes course when he sees a large fish and ascends at a rate of 25 feet per minute for 2 minutes. What is the scuba diver's position relative to sea level after the 4.8 minutes?

Answers

Answer:

7.4 feet below sea level

Step-by-step explanation:

Assumed the starting point is the sea level 0.

After 2.8 min the diver is at position:

20 1/2 * 2.8 = 20.5 * 2.8 = 57.4 feet below sea level

The position change after next 2 minutes:

25*2 = 50 feet

The position of the diver after 4.8 min:

57.4 - 50 = 7.4 feet below sea level

Answer:

I tried to but they picture on but it did not work for some reason but the answer is -7.4

Step-by-step explanation:

Find the product. Estimate to check that yo
474
X 18
+Multiply by the ones.
+Multiply by the tens.
Add the partial products.
+

Answers

9514 1404 393

Answer:

  8532

Step-by-step explanation:

See the attachment for the partial products and their sum.

The estimated value is about 10% less than 20·475 ≈ 9500 -950 = 8550. This indicates our answer of 8532 is probably correct.

Which of the expressions is equivalent to the expression (117.50-83.50)+6(22.50+3)
A. 34+138
B. 40(25.50)
C. 28(25.50)
D. 34+6(25.50)

Answers

Answer:the answrr would be A  i got a 100 on my testtttt

Step-by-step explanation:

Is this relation a function? Justify your answer.

Answers

Answer:

C

Step-by-step explanation:

Use the vertical line test with your pencil.   Move you pencil across the graph and if two points are under your pencil then it is not a function.

Answer:

C

Step-by-step explanation:

It isn't a function because the x-values repeat at points (2, 11) and (2, 2)

PLEASE HELP I WILL GIVE YOU BRAINLIEST AND 60 POINTS


Triangle PQR is transformed to similar triangle P’Q’R’:


What is the scale Factor dilation


A1/2
B1/3
C1/4
D1/5

Answers

I believe the answer is b hope it helps :)

HELP! click on image, but I will give Brainly + 24 pts !!

Question : The total cost (in dollars) for a company to manufacture and sell x items per week is C(x) = 70x + 300. If the revenue brought in by selling all x items is R(x) = 90x - 0.03x^2 find the weekly profit. How much profit will be made by producing and selling 70 items each week? Hint : P(x) = R(x) - C(x)

P(x) = ______
P(70) = $ _______

Answers

Answer:

p(x)=20x+300+0.03x^2

p(70)=1553 dollars

solve pls brainliest

Answers

Answer:

(a) 448

(b) -5

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