How do I solve this using substitution?

Answer:

45 I think

Step-by-step explanation:

I think that the answer to the question is 45 and I'm not very sure if if I can explain it to you because I don't know if it's right

Answer:

44 cows and 36 ducks.

Step-by-step explanation:

x is ducks and y is cows.

Assuming both have 1 head each, we can write:

x + y = 80.

Let's assume each x(cow) has 4 legs and each y(duck) has two legs.

Then we can add the numbers of legs:

2x + 4y = 248 legs

Now rearrange x + y = 80 to:

x = 80-y

and substitute:

2x + 4y = 248 legs

2(80-y) + 4y = 248 legs

160 - 2y + 4y = 248 legs

2y = 88 legs

y = 44   [There are 44 cows]

Use this value to find the number of ducks:

x + y = 80

44 + y = 80

y = 36  [There are 36 ducks]

========================

Check:

Do 44 cows and 36 ducks have a total of 248 legs?

4*44 + 2*36 = 248 ?

176 + 72 = 248?

YES

Answer:

x = 11/7 y = -1/7

Step-by-step explanation:

2x + y = 3

2x + y - 2y = 3 - 2y

y = 3 - 2x

x - 3(3 - 2x) = 2

x - 9 + 6x = 2

x - 9 + 6x + 9 = 2 + 9

x + 6x = 11

7x = 11

7x / 7 = 11/7

x = 11/7

2(11/7) + y = 3

22/7 + y = 3

22/7 + y - 22/7 = 3 - 22/7

y = -1/7

Answer:

(¹¹⁄₇, -⅐)

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}2x+y=3&\\x-3y=2\end{cases}[/tex]

What is the elimination method?

The elimination method is when you rewrite the two equations so that when added together, one of the two variables (x or y) is eliminated.

Step 1: Multiply the first equation by [tex]3[/tex].

[tex]\implies (3)2x+(3)y=(3)3[/tex]

[tex]\implies 6x+3y=9[/tex]

Step 2: Add the above equation to the second equation to eliminate 3y.

[tex]\begin{array}{r l}6x+3y & = 9\\+\ x-3y&=2\\\cline{1-2}7x&=11 \end{array}[/tex]

Step 3: Solve for x (by dividing both sides by 7).

[tex]\implies \dfrac{7x}{7}=\dfrac{11}{7}[/tex]

[tex]\implies \boxed{x=\dfrac{11}{7}}[/tex]

Step 4: Substitute ¹¹⁄₇ as the value of [tex]x[/tex] in any of the given equations and solve for [tex]y[/tex].

[tex]\implies 2\left(\dfrac{11}{7}\right)+y=3[/tex]

[tex]\implies \dfrac{22}{7}+y=3[/tex]

Step 5: Convert [tex]3[/tex] into a fraction and subtract ²²⁄₇ from both sides of the equation.

[tex]\implies \dfrac{22}{7}-\dfrac{22}{7}+y=\dfrac{21}{7}-\dfrac{22}{7}[/tex]

[tex]\implies \boxed{y=-\dfrac{1}{7}}[/tex]

The solution to the given system of equations is (¹¹⁄₇, -⅐).

Learn more here:

brainly.com/question/27868564

Answer:

b = 17    t = 12

Step-by-step explanation:

5b = 85

5b/5 = 85/5

b = 17

t/3 = 4

t/3 x 3 = 4 x 3

t = 12

Answer:

180-115=65

180-65-80= 25

y = 25

Answer:

f(x-6) ... shift right 6

2f(x-6) ... stretch vertically by 2

-2f(x-6) ... reflect across x-axis

-2f(x-6)+5 ... shift up 5

Step-by-step explanation:

Answer:

$9 per hour

Step-by-step explanation:

   Total number of hours = hours each night x number of nights

⇒ Total number of hours = 2 x 10 = 20 hours

   Hourly rate = total earned ÷ total number of hours

⇒ Hourly rate= 180 ÷ 20 = 9

Therefore, hourly rate = $9 per hour

Answer:

9 dollars per hour

Step-by-step explanation:

First determine the total number of hours

2 hours * 10 nights = 20 total hours

Divide the total amount paid by the total hours to get the rate

180 /20 = 9

She is paid 9 dollars per hour

Answer:

[tex]\frac{13}{32}[/tex]

Step-by-step explanation:

Answer:

The first part is correct! → There are 4 distinct instruments to distribute to 4 distinct people. And there are 4!=24 distinct ways of doing this.

For the second part. → Jay and Jack can only play 2 instruments, therefore we have 2 instruments for 2 people, and the distribution for these guys can be made in 2!=2 distinct ways.

Then, note that all that is left are 2 distinct instruments for 2 people. So there is an additional 2 distinct ways of doing this distribution for these other guys.

By the product rule, in total, we can do 4 distinct distribution in this condition.

Step-by-step explanation:

Please mark me as brainliest

Answer:

20 out of 28 games.

Step-by-step explanation:

28 divided by 7 is 4.

5 times 4 is 20.

20 out of 28 games.

(This is simple math honestly.)

Answer:

22 and a half

Step-by-step explanation:

josh eats 35 tacos in 7 minutes. break it down into 7ths. you will get:

| 5 | 5 | 5 | 5 | 5 | 5 | 5 |

Count four of those: or 5 x 4 = 20

Add half of 5= 2.5

                             20 + 2.5 = 22.5                                                                                                                  

Answer:

13,21,34,55,89,144,233,377

Step-by-step explanation:

i did it in my mind and im correct

prob

Answer:

900 m^2

Step-by-step explanation:

Let x = length, y = width

perimeter = 2x + 2y = 2(x + y) = 120. so

x + y = 60, or y = 60 - x

Area = xy = x(60 - x) = 60x - x^2

= -(x^2 - 60x + 30^2) + 30^2

= 900 - (x - 30)^2

Note (x - 30)^2 is never negative, at least zero.

When (x - 30) = 0, the area is the largest which is 900 m^2

Answer:

$64.63

Step-by-step explanation:

Multiply both values:

They pay 64.63

-Chetan K

Answer:

$64.63

Step-by-step explanation:

You multiple 23 by $2.81, I'm sorry if the explanation is brief, but this problem is relatively simple.

Have a nice day!

[:

Answer: 111.75 copies

Step-by-step explanation:

36 x 3 = 108

60/15 = 4

36/4 = 3.75

108 + 3.75 = 111.75

Answer:

5a + 2b is the total amount Hattie spent

Step-by-step explanation:

12a - 7a

4b - 2b

Answer:

1. f(x) - 7

2. The lines do not have same x-intercept

3. a(x) = f(x+7)

4. b(x) = f(x-3)

5.  c(x) = f(x) + 5 and c(x) = f(x+5) are two functions that can represent c(x)

6. a. g(x) = f(x-8)

   b. Slope of g(x) = 1                                        

   c. y-intercept = (0, -8)

7. a. p(x)=f(x+6) is vertical transformation of f(x) = x. f(x) is the parent function.

   b.(please check explanation section.)

For the second page, here are the answers

5.

a. False

The slope of f(x) will be steeper than m(x)

b. False

The y-intercept doesn't change due to multiplication of 3/5

6. C. h(x) = 3f(x-5)

7. d(x) = 1/4 f(x) + 9

8. Erika: c(x) = 4f(x) + 4 is the first graph

Landry: c(x) = -4f(x) + 3 is the second graph

Step-by-step explanation:

1. f(x) - 7 = x - 7 ( y intercept is translated down when g(x) = x - k )

2. The lines do not have same x-intercept. ( x-intercept of f(x)=x is (0,0) and that of f(x-10) is (0,10)

3. a(x) = f(x) + 7 = x + 7 = f(x+7)

4. b(x) = f(x) - 3 = x - 3 = f(x-3)

5. c(x) = f(x) + 5 = x + 5 = f( x+5)

   c(x) = f(x) + 5 and c(x) = f(x+5) are two functions that can represent c(x)

6. a. g(x) = f(x) - 8 = x -8 = f(x-8)

    b. Slope of g(x) = Slope of f(x)      

         Slope of f(x) =  d(f(x)/dx = dx/dx = 1

          Therefore Slope of g(x) = Slope of f(x) = 1      

c. y-intercept = (0, -8)       (In this case The y-intercept of g (x)=f(x-8) is translated down as -8<0 by 8 units.)

7.  b. Look at the graph for part b

Now for the second page, here are the steps

look at the pictures, they show the steps and solution

Answer:

y≥−4/5x−4

Step-by-step explanation:

Im not sure but i think its correct

Answer:

231 miles.

Step-by-step explanation:

79*3 = 237

237-6 = 231.

Answer:

Y=3/4x + 1

Step-by-step explanation:

Y intercept x=0

Therefore point(0,1) satisfies.

There fore constant c is 1

Answer:

y = [tex]\frac{3}{4}[/tex] x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = [tex]\frac{3}{4}[/tex] and c = 1 , then

y = [tex]\frac{3}{4}[/tex] x + 1 ← equation of line

Answer:

302.33

Step-by-step explanation:

Answer:

302.333... Its a repeating number.

Step-by-step explanation:

Answer:

12 units

Step-by-step explanation:

A=hbb/2=6·4/2= 12

Step-by-step explanation:

9.

the first we see when going from left to right : the line goes down, so it has a negative slope (factor of x).

then we look at the y-intercept (the point where the line crosses the y-axis) : negative y and around -5.

with all that we have eliminated B and D.

and not only does the line go down, it goes sharply down. so, the absolute value of the slope must be bigger.

therefore, C is the right answer.

and a quick check confirms, as the slope -10/3 means that for a change of x by +3 units causes y to change by -10, and that is what we are seeing on the chart.

at x = -3 it looks like y is about +5.

and at x = 0 (change by +3) it looks like y is about -5 (change by -10).

10.

the y-intercept does not give us a clue here, it is 1 for all 4 options, and the graph confirms it.

but this line goes up, so the slope is positive.

it is rather "flat" and by far not even diagonally, so the absolute value of the slope must be a small value (much smaller than 1, as a slope of 1 means "diagonally").

therefore, D is the right answer.

a quick check confirms, as the slope 1/5 means that for a change in x by +5 would lead to a change in y by +1.

and that is what we are seeking on the chart.

at x = -5 it looks like y is about 0.

at x = 0 (change by +5) it looks like y is about +1 (change by +1) - the y-intercept.

:

Multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ………… etc. Multiples of 5 are: 5, 10, 15, 20, 25, ………… etc. Therefore, common multiples of 2 and 5 = 10, 20, ………..etc.

Answer:

A

Step-by-step explanation:

The rest of the choices don't make sense.

Answer:

A

Step-by-step explanation:

A because you want to get a thought of what it is