Estimate the solution of the system x+y=4 2x-y=6 by sketching a graph of each linear function. Then solve the system algebraically. Use your estimate to judge the reasonableness of your solution. The estimated solution is The algebraic solution is The solution is/is not reasonable because​

Answers

Answer 1

Answer:

(10/3, 2/3)

Step-by-step explanation:

You may find it easier to write these two equations x+y=4 2x-y=6 in a column:

x+y=4

2x-y=6

Adding these together will eliminate y:

3x = 10.  Then x = 10/3.

Substituting 10/3 for x in the first equation results in:

10/3 + y = 4

Clear fractions by multiplying all three terms by 3:

10 + 3y = 12

Then 3y = 2, and y = 2/3.

The solution is (10/3, 2/3)


Related Questions

What is the sum of the interior angles of a rectangle?

360°
180°
90°

Answers

Answer: 180

The sum of the angles in a rectangle is given by (n-2)180 where n is the number of sides of the polygon and n is greater than or equal to 3.  For a rectangle, n=4 thus sum of angles is (4–2)180 = 360 degrees. Each interior angle is 360/4 = 90 degrees.

Answer:

180⁰is the interior angle of a rectangle

1 2/3 + 1 1/2 what is the answerrrrrrrrr

Answers

Hi!

[tex]1 \frac{2}{3} + 1 \frac{1}{2} = 1 \frac{4}{6} + 1 \frac{3}{6} = 2 \frac{7}{6} = 3 \frac{1}{6} [/tex]

Greetings!

List five numbers that have 3, 5, and 11 as prime factors

Answers

Answer:

11 1,11 1 x 11

13 1, 13 1 x 13

17 1, 17 1 x 17

19 1, 19 1 x 19

Step-by-step explanation:

A scale model of a building is 8 inches tall. The actual building is 120 feet tall. What is the scale factor of the model? (1ft. = 12 in.)​

Answers

Answer:

1:180

Step-by-step explanation:

We start by multiplying the 120 feet by 12 inches to get the height of the building in inches, which is 1440.

Then, we have a ratio of 8:1440, which simplifies to 1:180 when we divide 1440 by 8.

The required scale factor of the given model is 1/180.

What is a scale image?

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

A building scale model is 8 inches tall. The original structure stands 120 feet tall.

Here 1 foot is equal to twelve inches which is given in the question.

As per the given situation, the required solution would be as :

Firstly we have to multiply 120 feet by 12 inches to obtain the building's height in inches, which is 1440.

The result is an 8/1440 ratio, which simplifies to 1/180 when 1440 is divided by 8.

Therefore, the required scale factor of the given model is 1/180.

Learn more about the Scale images here:

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Write a congruence statement for the angles and/or sides that are given. State what additional information is required in order to know what the triangle are congruent for the given reason. WILL MARK BRIANLIEST !!!!!!!!! HELPP !!!

Answers

Step-by-step explanation:

Required information to prove the triangles are congruent:

AB=FE

Then you can say they are congruent by SAS

Can someone help me on this plzzz and thank you

Answers

Answer:

-1.5

Step-by-step explanation:

5x6=30

30-21=9

9/6=1.5

remember tht the answer is NEGATIVE,, thnk u hav a good nite

HELP 87 points if you do

Answers

Answer:

it's on the picture hope you are doing well

Step-by-step explanation:

hope it helps make brainlliest ty

In Juan's coin bank there are nickels (n),
dimes (d), and quarters (q). The number of
quarters is one-quarter the number of dimes, and
the number of nickels is twice the number of
quarters. The total value of the coins is $6.00.
Find the number of each type of coin. [Show all
work.]

Answers

Answer:

The answer is 8 quarters, 16 nickles, and 32 dimes

Step-by-step explanation:

First, the equation would be (2/4d) x 5 +d x 10 +1/4d x 25= 600 (Don't put 6.00, that's dollars. We put 6 dollars into cents to make it easier.) Then we slowly start to solve: 10/4d + 10d + 25/4d = 600 10d+40d+25d/4 = 600 (Put all of that over 4, not first 25d) 75d= 600 x 4 d=600 x 4/75 (same here put everything over 75) d=32 So then n= 2 x 32/4 = 16 Then n would be equal to : 1/4d= 1/4 x 32 = 8 So your answer would be 8 quarters, 16 nickles, and 32 dimes.

Hope this helped :)

If 5^a =625, then find the value of a.

Answers

Answer:

a = 4

Step-by-step explanation:

note that 625 = [tex]5^{4}[/tex] , then

[tex]5^{a}[/tex] = [tex]5^{4}[/tex]

Since the bases on both sides are equal, both 5 then equate exponents, so

a = 4

Answer:

4

Step-by-step explanation:

Prime factorize 625

625 = 25 * 25 = 5 * 5 * 5 * 5

[tex]5^{a} = 625\\\\5^{a} = 5^{4}[/tex]

As base are same, compare the exponents

a = 4

Cuantas cajas de gelatina con volumen de 500cm cúbicos caben en una caja de 1m cúbico?

Answers

Answer:

2000 cajas de gelatina.

Step-by-step explanation:

Answer:

2000 cajas de gelatina.

Step-by-step explanation:

1 m^3 : 1 000 000 cm^3

Hallamos las cajas de gelatina :

1 000 000 cm^3 / 500cm^3 = 2000

Respuesta : 2000 cajas de gelatina.

what graph is y=1/2x+3 y=3/2x-1

Answers

Sorry if I’m a bit late, hope this helps!

If a van traveled 175 miles in 5 hours, how far could the van travel in 8 hours?

Answers

280 because if you divide 175 by 5 you get 35 which is the amount of miles the van travels in 1 hour and then you multiple 35 by 8 and you have your answer 280

What is mZD? *
B
50°
F
250
Ε
650
А.

Answers

Answer:

[tex] m\angle D = 40\degree[/tex]

Step-by-step explanation:

[tex] m\angle DEC = 25\degree [/tex]

(Vertical angles)

[tex] m\angle DCE = 180\degree - 65\degree [/tex]

(Linear pair angles)

[tex] m\angle DCE = 115\degree [/tex]

In [tex] \triangle DCE[/tex]

By interior angle sum postulate of a triangle

[tex] m\angle D = 180\degree-(115\degree + 25\degree) [/tex]

[tex] m\angle D = 180\degree-140\degree[/tex]

[tex] m\angle D = 40\degree[/tex]

What two numbers have a product of 16 and a sum of 8?

Answers

4 because 4 x 4 =16 and 4+4=8

pls answer this tyyyyy

Answers

Answer:

110 is the answer

Step-by-step explanation:

After 2 hours, the air temperature had risen 7° f. How long will it take at this rate for the temperature to rise an additional 13°f?

Answers

Answer:

21 hours

Step-by-step explanation:

After 2 hours the temperature has risen to 7°f

The time taken to rise to an additional 13°f can be calculated as follows

1 hour takes 3.5°f

13°f = 3.5×6

= 21 hours

Hence it would take 21 hours

Some one please answer this for me I need it rn and I need an answer not a link ​

Answers

Answer:

B

Step-by-step explanation:

Answer:

maybe just multiply them

then add all oh the options and find there answer if the answer of any of the option matches that's your answer

have a nice day

#Captainpower

evaluate 2^-4
a. -8
b.-16
c.1/8
d.1/16

Answers

Answer:

DD

Step-by-step explanation:

answer: d. 1/16


hope this helps ^-^

Find the equation of the line of the graph

Answers

Answer:

So  this is a negative slope remember this. We are going to use y = mx + b

m is the slope b is the y intercept. In this problem, the y intercept is 6.

The slope is -2;

Y = -2x + 6

Step-by-step explanation:

I NEED HELP ASAP PLEASE

Answers

Answer: x = 8.3334

Step-by-step explanation:

assuming im solving for x ??

(6x + 8) + (19x - 3) = 180

21x + 5 = 180

      - 5     - 5

21x = 175

/ 21   / 21

x = 8.3334

What are the angle measures of the triangle?
A. 30°, 60°, and 90°
B. 45°, 45° and 90°
C. 60°, 60°, and 60°
D. They cannot be determined.

Answers

I think A.
Is this to check

PLEASE HELP ILL GIVE BRAINLIEST ASAP

Answers

Answer:

Jody has to pay $14.24 for total after splitting the tip amount with Karen.

Hope this helps!!!!!

Which of the following shapes is the base of a cone?
O A. Circle
O B. Pentagon
O C. Triangle
OD. Square

Answers

A. Circle just think of how a ice cream cone looks

The shapes is the base of a cone is Circle.

What is Circle?

A circle is often referred to as the locus of points drawn equidistant from the centre. The radius of a circle is the distance between its centre and its outer line. The diameter of a circle is the line that divides it into two equal sections and is equal to twice the radius.

A circle is a fundamental 2D form that is measured by its radius.

We have a Cone.

A Cone if compared as two dimensional then a cone have have Triangular shape.

and, the base of cone have a circular shape.

Thus, the shape of base of cone is Circle.

Learn more about Circle here:

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1. Alex bought 2 buckets of baseballs that cost $19.49 each, a bat that cost $125.50, and 2 pair of baseball socks that totaled $29.50. The tax on Alex's purchases equaled $16. How much change did Alex receive if he paid with three $100 bills?​

Answers

Answer:

$90.02

Step-by-step explanation:

Solve

Formula: Change money = paid money – bill. Paid money = change + bill.

Given: 2 buckets of baseballs that cost $19.49 each

A bat that cost $125.50, and 2 pairs of baseball socks that totaled $29.50

Tax on Alex's purchases equaled $16.

Paid with three $100 bills.

To find: How much change Alex received if he paid with three $100 bills

Total payment + Total Tax  -Total cost

19.49 + 125.50 + 29.50  = 174.49 (Don't add the $16 tax because that will be taken from the amount we pay)

∴, three 100 bills is 300

So, 300 - 174.49 = 109.51

109.51 - 16 = 90.51

90.51 - 0.49 = $90.02

Which budget categories are both variable expenses?​

Answers

Answer:Utilities and Groceries

Step-by-step explanation:Variable expenses are defined as such because the amount you spend may vary each month. Although variable costs are quite often discretionary expenses, some may be necessities. Buying gas for your car each month is a variable expense, as are car repairs and maintenance. Grocery shopping is also a variable expense.

Answer:

d

Step-by-step explanation:

what are the first four terms of the sequence an=n2+4

Answers

Step-by-step explanation:

Given formula

an = n² + 4

Now the first four terms of the sequence are

a1 = 1² + 4 = 5

a2 = 2² + 4 = 4 + 4 = 8

a3 = 3² + 4 = 9 + 4 = 13

a4 = 4² + 4 = 16 + 4 = 20

The terms are

5 , 8 , 13 and 20.

Find the perimeter of the rectangle

I don’t understand this someone explain

Answers

Answer:

38cm

Step-by-step explanation:

12.6 x 2= 25.2

6.4 x 2= 12.8

25.2 + 12.8= 38

Perimeter is basically just adding all of the sides

Two sides are not given, but we can infer that the side opposite of it is the same length. So basically,

12.6+6.4+12.6+6.4=38 cm

Hope this helps! :D

Calculate the value of the unknowns. O is the centre of each circle.
B
Statement
Reason
(a)
С
O
2
2
Αα
3 T
50°
Р​

Answers

The question need more clear

help me please i will really appreciate it

Answers

Answer:

2.H

Step-by-step explanation:

please click the heart and rate excellent and brainleist to

Hopes this helps if it doesn’t than I am sorry sorry:

Answer: J. 22

Solve for X LT1 10th grade level

Answers

Answer:

3

Step-by-step explanation:

The triangles are similar, therefore :

2.4/4 = 1.8/x

x = 18 × 4/24 = 3

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