1. Fred bought 7 new baseball trading cards to
add to his collection. The next
day his dog ate half of his collection. There are
now only 38 cards left.
How many cards did Fred start with ?

Answer: 24 ft³

Step-by-step explanation:

To calculate the amount of space that the box will take up in the moving truck, we are simply meant to calculate the volume. This will be:

= Length × Width × Height

= 2 × 4 × 3

= 24 ft³

Therefore, the space that the box will take up in the moving truck is 24 ft.

Answer:

80% is greater

Step-by-step explanation:

Answer:

The number 80% is greater than 7/9

Step-by-step explanation:

Answer:c=2 √1129 or c=−2 √1129

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

c^2=4516

Step 2: Take square root.

c=±√4516

c=2√1129 or c=−2√1129

Answer:

A=2

Step-by-step explanation:

Answer:

3 c  3 3 3 33  3 the 3 one

Step-by-step explanation:

The equation of a line passing through the point (8, 9) with a slope of 3 is y = 3x - 15.

Suppose the given points are [tex](x_1, y_1) and (x_2, y_2),[/tex]

then the equation of the straight line joining both two points is given by

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

We have been given a line passing through the point (8, 9) with a slope of 3.

then the equation of the straight line joining both two points is given by

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

Its slope would be:

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

m = 3

Therefore, the equation of the straight line

[tex](y - 9) = 3 (x -8)\\\\y - 9 = 3x - 24\\\\y = 3x -15[/tex]

Hence, the equation of a line passing through the point (8, 9) with a slope of 3 is y = 3x - 15.

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Answer:

Step-by-step explanation:

Angles QPS and QRS are supplementary as opposite angles of a cyclic quadrilateral.

Supplementary angles sum to 180°.

Correct choice is A

Answer: Its just 5

Step-by-step explanation: Its always the first digit of the number.

Answer:

4/5

Step-by-step explanation:

Answer:

Its 0 because thats the only value not bigger than 4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Any value to the left of 4 is a solution to x < 4

The only value on the list that is left of 4 is 0 → B

Answer:

6 inches

Step-by-step explanation:

(8-5)>x>(5+8)

Answer:

1. 252N = ( x  x )N

2. Factor =

Step-by-step explanation:

Let the starting population size for organisms A and B be represented by N.

For organism A;

Day 0: N

Day 1: 2N

Day 2: N

Day 3: N

Day 4: N

Day 5: N

Day 6: N

Day 7: N

Day 8: N

For organism B;

Day 0: N

Day 1: 2N

Day 2: N

Day 3: N

Day 4: N

Day 5: N

Day 6: N

Day 7: N

Day 8: N

1. After the eight days, organism B's population is larger than organism A's population by;

N - N = 256N - 4N

              = 252N

              = ( x  x )N

2. Organism A's population grows by .

Answer: 40 x  (76+35)

Step-by-step explanation:

Given: Every week Abeke earned,

$76 by selling ice cream

$35 by delivering newspapers.

i.e. Total amount earned in 1 week = $ (76+35)

Now Total amount earned in 40 weeks = 40 x  (76+35)

The numerical expression to show how much money( in dollars) Abeke earned in 40 weeks = 40 x  (76+35)

We have to simplify it to get the total money earned in 40 weeks i..e. $4440.

Answer:

Step-by-step explanation:75

9514 1404 393

Answer:

  x° = 29°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relevant trig relationships. Here, you have the hypotenuse and the side opposite the unknown angle. So, the appropriate relation is ...

  Sin = Opposite/Hypotenuse

  sin(x°) = 12/25

  x° = arcsin(12/25) ≈ 28.69°

The value of x is about 29.

Answer:

B

Step-by-step explanation:

distribute 1/2 into 2x and 4, if both sides match then its infinitely many solutions !

Answer:

12x + 4

Step-by-step explanation:

multiply and distribute 4 on each number in the ()

so (4 x 3x) + (4 x 1) = 12x + 4

Answer:

[tex] - 11 \frac{1}{2} [/tex]

Step-by-step explanation:

8x + 5y = 7

4x - 5y = 11

If you all it all up we have

8x + 4x +5y - 5y = 18

12x=18

x=18/12=1.5=3/2 = 1 whole number 1 over 2(1 1/2)

subtituting the value of x into equation 1(8x + 5y = 7)

8(1.5) + 5y = 7

5y=7-12

5y = -5

y=-5/5

y= -1

Answer:

[tex]18x^{6}-3x^{4}+45x^{3}-5x+25[/tex]

Step-by-step explanation:

[tex](6x^{3} -x+5)(3x^{3}+5)\\\\(6x^{3})(3x^{3})+(6x^{3})(5)+(-x)(3x^{3})+(-x)(5)+(5)(3x^{3})+(5)(5)\\\\18x^{6}+30x^{3}+(-3x^{4})+(-5x)+15x^{3}+25\\\\18x^{6}-3x^{4}+45x^{3}-5x+25[/tex]

Answer: 1/4 of a mile

Step-by-step explanation: 1/3 × 3/4

Answer:

See solution below

Step-by-step explanation:

Standard equation of a line in point slope form is expressed as y-y0 = m(x-x0)

m is the slope

c is the intercept

Fr the equation 3x+y = 17

y = -3x+17

m = -3

Given the point (4,8)

The equation of the line is expressed as;

y - 8 = -3(x-4)

y - 8 = -3x + 12

y + 3x = 12+8

y+3x = 20

This gives the required equation

For the equation y = 2x + 13

Slope m = 2

Since the line is perpendicular to the unknown line;

M = -1/2

Given the point (2, 3)

Get the equation

y - 3 = -1/2(x - 2)

2(y-3) = -(x - 2)

2y-6 = -x+2

2y+x = 2 + 6

2y+x = 8

This gives the required equation

Answer:

intergers

square root of 14 = 3.74

integer is 4

nearest tenth is 3.7

square root of 90 =9.49

interger = 9

nearest tenth =9.5

square root of 175 =13.23

interger =13

nearest tenth =13.2

Answer:

x = 9

Step-by-step explanation:

Sum of exterior angles = 360

8x +14x +7x +11x = 360

              40x     = 360

                  x   = 360/40

x = 9

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x  + y = 11 -------------------(I)

3x - y = 9 -----------------(II)

Add equation (I) & (II)

   5x + y = 11

   3x - y = 9        {add and y will be eliminated and we'll get the value of x}

  8x       = 20

          x = 20/8

         x = 2.5

Plugin x = 2.5 in equation (I)

5*2.5 + y = 11

 12.5  + y = 11

            y = 11 - 12.5

            y = -1.5

After solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign .

We have,

[tex]5x + y = 11[/tex]   [tex].......... (i)[/tex]

[tex]3x - y = 9[/tex]   [tex]...........(ii)[/tex]

To solve we will multiply equation [tex](i)[/tex] by [tex]3[/tex] and equation [tex](ii)[/tex] by [tex]5[/tex],

[tex]15x + 3y = 33[/tex]   [tex]..........(iii)[/tex]

[tex]15x -5y = 45[/tex]   [tex]..........(iv)[/tex]

Now, adding both equations [tex](iii)[/tex] and [tex](iv)[/tex] ,

We get,

[tex]8y=-12[/tex]

[tex]y=-\frac{3}{2} =1.5[/tex]

Now putting value of [tex]y=-\frac{3}{2} =1.5[/tex] in equation [tex](i)[/tex] ,

[tex]5x+(\frac{-3}{2} )=11[/tex]

[tex]x=\frac{5}{2} =2.5[/tex]

So, using the elimination method we find out the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex], which was find out simultaneously.

Hence, we can say that after solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].

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