Use substitution to solve the
following system of equations.
2x + 4y = 12 AND x=y - 3

Answers

Answer 1

Answer:

The solution is (0, 3)

Step-by-step explanation:

First, reduce 2x + 4y = 12 to x + 2y = 6, for easier calculations.

Next, substitute y - 3 for x in the other equation:

y - 3 + 2y = 6, or

3y = 9

Then y = 3.  Since x = y - 3 in general, x = 3 - 3 = 0 when y = 3.

The solution is (0, 3)


Related Questions

find the centre and radius for this circle , x^2+y^2=25

Answers

Answer:

centre = (0, 0 ), radius = 5

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 25 ← is in this form

with centre = (0, 0 ) and r = [tex]\sqrt{25}[/tex] = 5

Factor the expression x^2+6x+8

Answers

This is not the real answer but 3 to the power of 3 is 27 not 9

which of the following number are prime numbers 1,7,36,16,2,51,25​

Answers

Answer: 2 and 7

Step-by-step explanation: prime number is a number that is divisible only by itself and 1

7.865 rounded to the nearest whole number

Answers

Answer:

8

Step-by-step explanation:

Since the first decimal place is greater than 5, it rounds to 8, because 8 is the next whole number to 7.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Solve for xxx in the diagram below.

Answers

the answer is 6
5 times 6 = 30
54 plus 6 =60
and that is a 90 degree angel

Andrea's family stopped at the gas station to get gas. At gas stations, the price of gas per gallon is given to the nearest thousandth. In order to determine how much money he would need to pay for the gas, Andrea's dad asked her to round the price of gas per gallon to the nearest hundredth.

The gas price per gallon rounded to the nearest hundredth was $2.50. Which of the following prices could have been the original gas price?

$2.493
$2.505
$2.509
$2.498

Answers

Answer:

$2.498

Step-by-step explanation:

Only answer if you’re sure of it. FAST!!

A card is drawn from a standard deck of 52 cards and not replaced. Find the probability of drawing a king
and then an ace.

Answers

There are only 4 Kings in a standard deck of 52 poker cards, being the King of Spades, Clubs, Diamonds and Hearts. So the probability of drawing a king from the cards is 4/52 = 1/13.and it is the same for the ace so together they’d be 8/52 or 2/13.....hope that helps

Get–Around Cab Company charges $2.50 upon entry and $2 per mile. Write the function that represents the cost C of a ride of m miles. C(m) = m +

Answers

Answer:

C(m) = 2.50 + 2m

Step-by-step explanation:

The fixed charge = charge per entry = $2.50

Charge per mile = $2

Function which represents the cost of a ride of m miles ;

Cost for m miles, C(m)

C(m) = charge per entry + cost per mile * number of miles

Where, number of miles = m

C(m) = 2.50 + 2m

Answer:

C(m) =2  m + 2.5

Step-by-step explanation:

I DID IN ED

Mr. Cox filled up his car with gas yesterday. He paid $24 for 6 gallons of gas.
How much would 10 gallons of gas cost?

Answers

Answer:

40 gallons of gas

Step-by-step explanation:

ILL GIVE BRAINLIEST!! Find y. Give your answer in
the simplest form.
45°
y = [?]

Answers

Answer:

y = 2

Step-by-step explanation:

Using the sine ratio and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y = ([tex]\sqrt{2}[/tex] )² = 2

whats the anserw plz (8x+10y)+(-4x-3y) i need help!!!

Answers

Answer:

me :- mighty assassin-,-

xd

Let a=2 and b=1, find the value of 2a + 3b

Answers

Answer:

7 is a answer

Step-by-step explanation:

2a+3b

2×2+3×1

4+3

7

hope it helps....

[tex] \sf a = 2,\: b = 1[/tex]

[tex] \sf Q) \:2a + 3b = {?}[/tex]

[tex] \sf \implies 2a + 3b[/tex]

[tex] \sf \implies 2(2) + 3(1)[/tex]

[tex] \sf \implies 4 + 3[/tex]

[tex] \sf \implies 7[/tex] is the required answer.

Use the tree diagram below to answer the question how many outcomes are there that contain blue shirts

Answers

3 because there is only small medium and large

Answer:

3

Step-by-step explanation:

i got it right on my test

Please help me this should be easy for y'all thanks

Answers

Answer:

20

Step-by-step explanation:

If p and q vary inversely and p is 9 when q is 16, determine q when pis equal to 18.​

Answers

Answer:

[tex]p \: \alpha \: \frac{1}{q} \\ p = \frac{k}{q} \\ k \: is \: a \: constant \: of \: proportionality \\ when \: p \: is \: 9.. \: \: q = 16 \\ 9 = \frac{k}{16} \\ k = 144 \\ when \: p \: is \: 18 : \\ 18 = \frac{144}{q} \\ q = \frac{144}{18} \\ q = 8[/tex]

Which is the correct answer!!!

Answers

Answer:

the answer is the alphabet a

Which of the following is equivalent to the expression below?
log 4-log 24

Answers

Answer:

log (1/6)

Step-by-step explanation:

Using the property that log a - log b = log(a/b), we get that log 4 - log 24 = log(4/24) = log (1/6)

I hope this helps! :)

It is 6 all you have to do is think what number with 4 equals 24 if you don’t no use a calculator and divide 24/4

What is the square feet

A.60 square feet

B.54 square feet

C.42 square feet

D.104 square feet

Answers

The answer is B
Hope that helps

identify the precision unit for the measuring tool below​

Answers

The answer is 0.1 cm

Write the equation in slope-intercept form in each line based on the information give
The line contains the points
(1,-2)and(2,4)

Answers

Answer:

y= 6x -8

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the gradient and c is the y-intercept.

[tex]\boxed{gradient = \frac{y1 - y2}{x1- x2} }[/tex]

Gradient

[tex] = \frac{4 - ( - 2)}{2 - 1} [/tex]

= 6

y= 6x +c

To find the value of c, substitute the equation with a pair of coordinates.

When x= 1, y= -2,

-2= 6(1) +c

c= -2 -6 (-6 on both sides)

c= -8

Thus, the equation of the line is y= 6x -8.

Is -33.1 a whole number

Answers

Answer:

No

Step-by-step explanation:

This is because it's part of a whole.  It has to be an integer to be whole.

Answer:

no because Whole numbers include positive integers along with 0 and also  Whole numbers include natural numbers that begin from 1 onwards and also this a negative are not considered as a whole number so its a no

Step-by-step explanation:

Which transformation is a translation?

Answers

Answer:

i don't know but o o o o right e o right e auto park

Answer:

4234324tgfgdfgdgd

Step-by-step explanation:

2. Find the base of a triangle which has an area of 2 1/4 square inches, and a height of 1/8 in. ​

Answers

Answer:

36 inches

Step-by-step explanation:

Given data

Area of triangle =2 1/4 square inches

Area =9/4 square inches

Height of triangle =1/8 inches

We know that the expression for the area of triangle is

Area = 1/2Base *Height

9/4=1/2*Base *1/8

9/4=Base/16

Cross multiply

16*9=Base*4

144=Base*4

Base =144/4

Base=36 inches

(NEED HELP ASAP) The map is similar to the map from the previous unit. The x-axis runs from -110 to +110. For the y-axis, the values run from -80 to +80. Each tick mark on the axes has the value of 5 m (so each square on the grid represents 10 m). The additional path, Archimedes Alley has been added to the map.
The standard form for one of the three equations is 9x - 20y - 900 = 0.
i) Determine the x- and y-intercepts for the line.
ii) Identify its equivalent equation in slope y-intercept form.
iii) Explain how you chose the equation in slope y-intercept form.

Answers

First oneeeewweemdjdjjdjdjjdid

What is the value of 9/10 divided by 1/5?

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{\dfrac{9}{10} \div \dfrac{1}{5}}[/tex]

[tex]\mathsf{= \dfrac{9}{10}\times\dfrac{5}{1}}[/tex]

[tex]\mathsf{= \dfrac{9\times5}{10\times1}}[/tex]

[tex]\mathsf{9 \times 5 = \boxed{\bf 45} \ (numerator)}[/tex]

[tex]\mathsf{10\times 1 = \boxed{\bf 10} \ (denominator)}[/tex]

[tex]\mathsf{= \dfrac{45}{10}}[/tex]

BOTH NUMBERS HAVE the  GCF (Greatest Common Multiple) of 5, so we are going to DIVIDE BOTH THE NUMERATORS by 5

[tex]\mathsf{= \dfrac{45\div5}{10\div5}}[/tex]

[tex]\mathsf{45\div 5 = \boxed{\bf 9} \ (numerator)}[/tex]

[tex]\mathsf{10 \div 5 = \boxed{\bf 2} \ (denominator)}[/tex]

[tex]\mathsf{= \dfrac{9}{2}}[/tex]

CONVERT YOUR CURRENT FRACTION to a MIXED NUMBER

[tex]\mathsf{= 4\dfrac{1}{2}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf 4 \dfrac{1}{2}}\large\text{ \bf or }\mathsf{\bf \dfrac{9}{2}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Does this app actually work for ya'll????​

Answers

Answer:

Yessssss!

Step-by-step explanation:

Answer:

yess!! look up your question before you ask it :))))

thx for the points too hehe

pls help
Factor out the GCF
16x - 48

Answers

Answer:

16

Step-by-step explanation:

the greatest common factor of 16 and 48 is 16

Factors for 16: 1, 2, 4, 8, and 16.

Factors for 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original lie segment?

Answers

Answer:

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Step-by-step explanation:

Here are the steps I think you probably will go through.

1. Draw a line that is longer than the segment but shorter than the width of the page.

1a. Make sure this line is  at least 1/2 inch from the left hand side.  

2. Use a compass to measure the length of the original segment. Never use a ruler. Rulers do not exist in pure geometry.

3. Measure out the distance on the line you just drew with the compass. One end is on the left hand edge and the other end (the pencil end) is marking the segment so it is the same length as the compass. You are done.

The key step either two or three.The steps to copy a line segment are given below:

1. Lets start with a line segment AB that we have to copy.

2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.

3. Now, put the compass tip on point A of the line segment AB.

4. Spread the compass up to point B, so as the compass width is equal to length of AB.

5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.

6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.

7. Draw a line from C to D.

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

the function f is given by f(x) = (x - 6)(x - 2). Multiply out the factors using the area model or distributive property. What expression do you get

Answers

x^2-8x+12, hope this helps

Please help me! That would be great if you can.

Answers

Answer should be 3 I’m pretty sure
Yup its pretty much 3
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