Jason bought 4 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 39 cards left. How many cards did Jason start with?

Answer:

See Explanation

Step-by-step explanation:

1.

Given

[tex]y = 6x - 11[/tex]

[tex]-2x - 3y = -7[/tex]

Solve for x and y

In the first equation, we have: [tex]y = 6x - 11[/tex]

Substitute [tex]6x - 11[/tex] for [tex]y[/tex] in the second

[tex]-2x - 3y = -7[/tex]

[tex]-2x - 3(6x - 11) = -7[/tex]

[tex]-2x - 18x + 33 = -7[/tex]

[tex]-20x+ 33 = -7[/tex]

[tex]-20x= -7-33[/tex]

[tex]-20x= -40[/tex]

Divide through by -1

[tex]20x = 40[/tex]

[tex]x = 40/20[/tex]

[tex]x = 2[/tex]

Recall that:

[tex]y = 6x - 11[/tex]

[tex]y = 6 * 2 - 11[/tex]

[tex]y = 1[/tex]

2,

Given

[tex]-3x - 3y = 3[/tex]

[tex]y = -5x - 17[/tex]

In the second equation, we have: [tex]y = -5x - 17[/tex]

Substitute [tex]-5x - 17[/tex] for [tex]y[/tex] in the first equation

[tex]-3x - 3y = 3[/tex]

[tex]-3x - 3(-5x - 17) = 3[/tex]

[tex]-3x + 15x + 51 = 3[/tex]

[tex]12x + 51 = 3[/tex]

[tex]12x=3 - 51[/tex]

[tex]12x=-48[/tex]

[tex]x = -48/12[/tex]

[tex]x = -4[/tex]

Recall that: [tex]y = -5x - 17[/tex]

[tex]y = -5 * -4 - 17[/tex]

[tex]y = -3[/tex]

3. Given

[tex]-4x + y = 6[/tex]

[tex]-5x - y = 21[/tex]

Add both equations to eliminate y

[tex]-4x - 5x + y - y = 6 + 21[/tex]

[tex]-9x= 27[/tex]

Solve for x

[tex]x = 27/-9[/tex]

[tex]x = -3[/tex]

Substitute -3 for x in the first equation: [tex]-4x + y = 6[/tex]

[tex]-4 * -3 + y = 6[/tex]

[tex]12 + y = 6[/tex]

[tex]y = 6 - 12[/tex]

[tex]y = -6[/tex]

4. Given

[tex]-7x - 2y = -13[/tex]

[tex]x - 2y = 11[/tex]

Make x the subject in the second equation

[tex]x - 2y = 11[/tex]

[tex]x = 11 + 2y[/tex]

Substitute 11 + 2y for x in the first equation

[tex]-7x - 2y = -13[/tex]

[tex]-7 (11 + 2y) - 2y = -13[/tex]

[tex]-77 -14y - 2y = -13[/tex]

[tex]-77 -16y = -13[/tex]

[tex]-16y = -13 + 77[/tex]

[tex]-16y = 64[/tex]

[tex]y = 64/-16[/tex]

[tex]y = -4[/tex]

Substitute -4 for y in [tex]x = 11 + 2y[/tex]

[tex]x = 11 + 2 * -4[/tex]

[tex]x = 11 -8[/tex]

[tex]x = 3[/tex]

5. Given

[tex]-2x + 6y = 6[/tex]

[tex]-7x + 8y = -5[/tex]

Multiply the first equation by 7 and the second by - 2 to eliminate x

The first

[tex]7(-2x + 6y = 6)[/tex]

[tex]-14x + 42y =42[/tex]

The second

[tex]-2(-7x + 8y = -5)[/tex]

[tex]14x - 16y = 10[/tex]

Add the resulting equations

[tex]-14x + 42y =42[/tex]

[tex]14x - 16y = 10[/tex]

------------------------------

[tex]-14x + 14x + 42y - 16y = 42 + 10[/tex]

[tex]42y - 16y = 42 + 10[/tex]

[tex]26y = 52[/tex]

Solve for y

[tex]y = 52/26[/tex]

[tex]y = 2[/tex]

Substitute 2 for y in [tex]-2x + 6y = 6[/tex]

[tex]-2x + 6 * 2 = 6[/tex]

[tex]-2x + 12 = 6[/tex]

[tex]-2x = 6 -12[/tex]

[tex]-2x = -6[/tex]

Solve for x

[tex]x = -6/-2[/tex]

[tex]x = 3[/tex]

Answer:

536  Gallons

Step-by-step explanation:

If you multiply 33.5 times 16 you will get your answer

Please put brainliest.

Answer:

yeah it's B. false :)

Step-by-step explanation:

and to answer the other answer, it's just to help other people if the question isn't already on brainly

Answer:

4 Hours.

Step-by-step explanation:

If the run 11 miles in a hour, then do 11 times as many hours.

11 x 4 = 44.

Answer:

1. -12     2. you get -      3.  -6

Step-by-step explanation:

Well hope that makes sense. Please heart.

12 plus -12 is 0. -3 plus 2 is -1 or -.      -4 plus -2 is -6.

You add -12 to 12 to make it zero.

If you have - - -  and add  +  +  you get  -1.

If you have - - - -  and add - -  you get -6.

Answer:

the answer is 44 and evaluate is just a fancy word for solve i believe

Step-by-step explanation:

Answer:

Step-by-step explanation:

Clone = original * scale factor

Clone size

Converted to inches

Answer:

The answer is 6.04166666667. The answer in a faction is 145/24.

Step-by-step explanation:

I hope this help.

Answer:

6x^3+39x^2+59x

Step-by-step explanation:

Answer:

88 degrees

Step-by-step explanation:

First, notice that when you rotate a point 272 degrees clockwise, there will be 88 more degrees before it returns to its original point (since a 360 turn is equivalent to not moving, and 360-272=88).

Because of that, we can deduce that rotating a point 88 degrees counterclockwise will be equivalent to rotating it 272 degrees clockwise.

We can know that that's the smallest possible positive answer, because any angle smaller than 360 will be the smallest possible way to express it.

Answer:

A goes through the points

Step-by-step explanation:

Answer: 5.176 units

Step-by-step explanation:

x/20 = sin(15)

x = 20*sin(15) = 5.176 units

Answer: 0.125

Step-by-step explanation:

Answer:

0.125

1/8

= 0.125

= 12.5%

Answer:

6x+2

Step-by-step explanation:

4(x-3)+2(x+5)

4x-12+2x+10| Distrubutitive Property

6x-2 | Combine like terms

Given:

The sum of a number times 10 and 16 is at most 28.

To find:

The inequality for the given statement.

Solution:

Let the unknown number be c.

A number times 10  = 10c

Sum of a number times 10 and 16 = 10c + 16

At most 28 = Number should less than or equal to 28.

The inequality for given sentence is

[tex]10c+16\leq 28[/tex]

Therefore, the required inequality is [tex]10c+16\leq 28[/tex].

Answer:

Slope= 2/3, Equation= y=2/3x+2

Step-by-step explanation:

Answer:

x<5

Step-by-step explanation:

x+4<1

x<+1-4(in this situation +1-4 is kinda like saying -4+1 so you add them)

{x<5}

(thanks and sorry and welcome)

Answer:

For the inequality statement, x ≤ -3, multiply each side of the inequality by the reciprocal of . The solution is x ≤ -12.

Step-by-step explanation:

[tex]\frac{4}{1}[/tex] · [tex]\frac{1}{4}[/tex]x ≤ -3 · [tex]\frac{4}{1}[/tex]

Answer:

The answer is below

Step-by-step explanation:

Let's work it out slowly

A)

$18.79 + $2.11 - $1.92 + $17.28

- 18.79 + 2.11 + 17.28 = 38.18

- 38.18 - 1.92 = 36.26

Ans = $36.26

B)

$7.45 + $24.45 + $74.17 + $76.52

- 7.45 + 24.45 = 31.9

- 74.17 + 76.52 = 150.69

- 150.69 + 31.9 = 182.59

Ans = $182.59

C) $98.45 - $10.63 + $2.82 - $20.26

- 98.45 - 10.63 - 20.26 = 67.56

- 67.56 + 2.82 = 70.38

Ans = $70.38

Hope you understand

:-)

Answer:

(-3, 1)

Step-by-step explanation:

The line goes down 3 (-3) and to the right 1

(-3, 1)

(Sorry if I am wrong. Please don't get mad)

Hope I helped :)

Answer:

K = v /f − c

Step-by-step explanation:

Answer: 140 ft^2

Step-by-step explanation:

Triangle:

A = 1/2bh

A = 1/2(6 • 4)

A = 1/2(24)

A = 12

Square:

A = bh

A = 16 • 8

A = 128

Add them

128 + 12 = 140 ft^2

Answer:

7.21 ft

Step-by-step explanation:I don't know if i did it right but this is what I got.

Answer:

17.5

Step-by-step explanation:

Answer:

It could by any 2 numbers that satisfy a^2+b^2= 20.

One example would be 4 and 2:

4^2+2^2=16+4=20

I hope this helped.

Answer:

The first step I would take is subtract 12 from both sides.

Step-by-step explanation:

i hope this helps!

Answer:

(C) 350 yards

Step-by-step explanation:

From available information

Mean = 790

1 running back = 1637 yards

Standard deviation above mean = 2.42

Using formula

z =( x - mean)/sd

2.42 = (1637-790)/sd

2.42 = 847/sd

We cross multiply

2.42sd = 847

Divide through by 2.42

Sd = 847/2.42

Sd = standard deviation = 350

So our answer is 350 and therefore option c.

Look at the graph I added here

Answer:

-36

Step-by-step explanation:

4(-8-3*(1/3)) = 4(-8-1) = -36

the distance is s mil lion

Answer:

million

Step-by-step explanation: