7
9
20
3
9
A number is removed from this list and the median and range do not change
Write down this number.

Answer:

4

Step-by-step explanation:

Answer:

-$79

Step-by-step explanation:

If i read that correctly, Rylee had -$23 in her account.

Then, she was charged $56, meaning we have to subtract $56 from -$23. When we do -23 - 56, we get -79. Meaning, Rylee now has a balance of -$79.

Answer:

Step-by-step explanation:

The original price of Rylee’s groceries was $23.50. This money is leaving her bank account, so represent the amount with a negative sign:

-$23.50.

Rylee got a 20% discount on her purchase. In other words, she got 20% of her money back. The expression that represents the net change in her bank account is

-$23.50 – (-$23.50 × 0.2).

Further simplify the expression by factoring -$23.50 from both terms:

-$23.50 – (-$23.50 × 0.2)

=

-$23.50(1 – 0.2)

=

-$23.50(0.8).

Answer:

true

Step-by-step explanation:

5(1+2x)= 5 +10x =10x + 5

Answer:

Yes, they are eqivelant.

Step-by-step explanation:

5(1+2x) and 10x+5

The first step is to set them equal to each other, to see if they are equivelent.

5(1+2x) = 10x+5

Distribute the 5 to both terms in the parentheses by multiplying.

5(1) + 5(2x) = 10x +5

5 + 10x = 10x +5

The communative property of addition proves that these are equal.

Answer:

y = 2x - 8    OR     4 - 2x = -4 - y

Step-by-step explanation:

Use the point-slope form m(x₁-x₂) = (y₁-y₂); m means slope

plug in your numbers:

2(2-x₂) = (-4-y₂)

4 - 2x = -4 - y

or to put it into Y=mx + b:

y = 2x + 8

Answer:

Step-by-step explanation:

41)

[tex]1+2+3+4+...+n=\dfrac{(n+1)*n}{2} \\\\2+4+6+...+2n=2*(1+2+3+4+...+n)=2*\dfrac{(n+1)*n}{2} =(n+1)*n\\\\[/tex]

42)

the square of the sum of the first n natural integers equals the sum of the cubes of these

Answer:

It's a rectangle. So,

Area = Length × Width

Area = 16.4 × 9

Area = 147.6 cm²

1 inch= 10 miles

1 inch * 1 inch = 1 in^2 = 10 miles * 10 miles = 100 miles^2

so

1 in^2 is 100 mi^

Step-by-step explanation:

[tex]2 {x}^{2} + 4x + 4 + {x}^{2} + 1 = 180[/tex]

[tex]3 {x}^{2} + 4x + 5 = 180[/tex]

[tex] {3x}^{2} + 25x - 21x - 175 = 0[/tex]

[tex]x \times (3x + 25) - 7(3x + 25) = 0[/tex]

[tex](3x + 25) \times (x - 7) = 0[/tex]

[tex]3x + 25 = 0 = x - 7 = 0[/tex]

[tex]x = - \frac{25}{3} = x = 7[/tex]

[tex] = x_{1} = - \frac{25}{3} . \: \: x_{2} = 7[/tex]

Answer:

locks that raise or lower the boat. Traveling East a boat would have to be lowered 12' at Amsterdam, 11' at Trives Hill, and 8' at Randall. By how much does the elevation of the boat change between Amsterdam and Randall

We know that on each side of the street it is 10 feet deep and 1 mile long, which 1 mile = 5280 feet. So, lets get the area first .

Answer:

37

Step-by-step explanation:

LMN is one big line

LM=22

LM=15

LN=22+15=37

Answer:

LN = LM + MN = 37

Step-by-step explanation:

L————————-M———————-N

22. 15

L————————-37———————-N

Answer:

by/x cents

Step-by-step explanation:

if x apples cost b cents then 1 apple with cost b/x cents and y apples will cost (b/x)×y which gives by/x cents

Answer:

Step-by-step explanation:

Answer:

Image result for 44. Consider all rectangles with an area of 182 square feet. Let's Be the length of one side of such a rectangle a) Express the perimeter as a function of b) Use the graphing calculator to find the dimensions of the rectangle that has the least perimeter. What is the least perimeter?

Divide the area of the rectangle by the width in order to find the length of 14 feet. The perimeter is the sum of the side lengths, which in this case is 14 feet + 4 feet +14 feet + 4 feet, or 36 feet.

Step-by-step explanation:

a triangular number n is the sum of all natural numbers <= n.

t1 = 1

t2 = 1+2 = 3

t3 = 1+2+3 = 6

t4 = 1+2+3+4 = 10

...

so,

tn = tn-1 + n

47.

1×8 + 1 = 9 is a square number.

3×8 + 1 = 25 is a square number

6×8 + 1 = 49 is a square number

10×8 + 1 = 81 is a square number

48.

1/3 = 0 remainder 1

3/3 = 1 remainder 0

6/3 = 2 remainder 0

10/3 = 3 remainder 1

15/3 = 5 remainder 0

21/3 = 7 remainder 0

28/3 = 9 remainder 1

so, there seems to be a pattern 1 0 0 1 0 0 1 0 0 1 ...

49.

1/4 = 0 remainder 1

4/4 = 1 remainder 0

9/4 = 2 remainder 1

16/4 = 4 remainder 0

25/4 = 6 remainder 1

36/4 = 9 remainder 0

49/4 = 12 remainder 1

so, there seems to be a pattern 1 0 1 0 1 0 1 0 1 0 1 ...

50.

polygonal numbers is the real name for this.

the formula for dimensions = 5 is

(3n² − n)/2

for dimensions = 6 it is

2n² - n

so, dimensions=5 (and therefore dividing also by 5) we get the remainders

1/5 = 0 remainder 1

5/5 = 1 remainder 0

12/5 = 2 remainder 2

22/5 = 4 remainder 2

35/5 = 7 remainder 0

51/5 = 10 remainder 1

70/5 = 14 remainder 0

92/5 = 18 remainder 2

117/5 = 23 remainder 2

145/5 = 29 remainder 0

here the pattern is 1 0 2 2 0 1 0 2 2 0 1 0 2 2 0 ...

dimensions=6 (and therefore dividing also by 6) we get the remainders

1/6 = 0 remainder 1

6/6 = 1 remainder 0

15/6 = 2 remainder 3

28/6 = 4 remainder 4

45/6 = 7 remainder 3

66/6 = 11 remainder 0

91/6 = 15 remainder 1

120/6 = 20 remainder 0

153/6 = 25 remainder 3

190/6 = 31 remainder 4

231/6 = 38 remainder 3

276/6 = 46 remainder 0

325/6 = 54 remainder 1

here the pattern is 1 0 3 4 3 0 1 0 3 4 3 0 1 0 3 4 3 0 ...

Answer:

170.25

Step-by-step explanation:

15% x 1135

15/100 x 1135

170.25

Hello :D

10% of 1135 = 1135/10 = 113.5

5% of 1135 = 113.5/2 = 56.75

15% of 1135 = 113.5 + 56.75 = 170.25

Answer  = 170.25

Answer:

18

Step-by-step explanation:

Answer:

7(10−[tex]2^{3}[/tex])+ [tex]\frac{8}{2}[/tex]

=18

Step-by-step explanation:

7(10−[tex]2^{3}[/tex])+[tex]\frac{8}{2}[/tex]

=7(10−8)+ [tex]\frac{8}{2}[/tex]  

=(7)(2)+[tex]\frac{8}{2}[/tex]  

=14+[tex]\frac{8}{2}[/tex]  

=14+4

=18

Answer:

The translation vector can be drawn on the coordinate grid or written as

\vec{v}=\langle a,b\rangle

v

=⟨a,b⟩

. For example, a translation vector that moves a figure

3

3

units right and

2

2

units down can be represented mathematically as

\vec{v}=\langle3,-2\rangle

v

=⟨3,−2⟩

, or graphically as

It doesn’t matter where the vector is positioned in the plane. In this figure, the vector starts at

(1,1)

(1,1)

and ends at

(4,-1)

(4,−1)

. But the initial point and terminal point of the vector are irrelevant. What matters is the length of the vector and the direction in which it points, so all you have to look at is how many units the vector moves in the

y

y

-direction and how many units the vector moves in the

x

x

-direction.

Answer:

A. X=1

Step-by-step explanation:

8x+3 = 4x+7

4x+3=7

4x=4

x=1

Answer:

Each bag costs 0.35 cents

Step-by-step explanation:

divide 9.88 by 28 and that gives you the total for each bag of chips

Answer:

125 minutes

Step-by-step explanation:

2.5÷ .5 = 5

20× 5 + 25

= 125 min

Answer:

ans2

Step-by-step explanation:

10x-4-2x=34

8x=38

x=4.7..

Answer:

x = 5

Step-by-step explanation:

10x - 4 -2x -2 = 34

8x = 40

x = 5

You're letting x = 0.325325325…, which means

1000x = 325.325325325…   (or 325.325, but pretend the underline is actually an overline)

Then the next box you'd fill in with 0.325325325… (or 0.325).

Subtracting these, you have

1000x - x = 325.325325325… - 0.325325325…

999x = 325

Finally, solving for x gives

x = 325/999

Step-by-step explanation:

The area of any 2-d quadrilateral is equal to the base of the shape times the height, though we can just sub in length and width here. The key bits of information here is the aspect ratio (4:3) and the given area (300 in^2).

So far this gives us L∗W=300in2

Now, the aspect ratio given implies for every 4 inches in length, there will be 3 inches in width. This allows us to factor out a 4 and a 3 from the Length and Width respectively and give them the same constant variable, like so:

4x∗3x=300in2

Now, some might be tempted to go ahead with 12x here, but let’s expand the left side out to see what’s really going on:

4∗x∗3∗x=300in2

From here, let’s resolve like terms Our constants will multiply together and give us 12, and x * x of course gives us x^2 to give us the following:

12x2=300in2

From here, simply divide through by 12 to isolate x on one side,x2=25

And finally take the square root of both sides to work out what your common factor is,

x=5

Now that we have out common factor, let’s plug it back into our original formula to find our Length and Width, like so.

(4∗5)in∗(3∗5)in=300in2

20in∗15in=300in2

Therefore, the Length of our rectangle is 20in, and the Width of our rectangle is 15in

Answer:

No solution

Step-by-step explanation:

To solve first you need to isolate the absolute value sign. Do this by subtracting 7 from each side.

Now an expression inside absolute value bars is set to a negative. Since absolute value makes terms and expressions positive, there is no x-value that could make this true. Therefore, there are no solutions.

[tex]\\ \tt\Rrightarrow |3x-8|+7=2[/tex]

[tex]\\ \tt\Rrightarrow |3x-8|=2-7[/tex]

[tex]\\ \tt\Rrightarrow |3x-8|=-5[/tex]

Because of absolute vale there is no solution

9514 1404 393

Answer:

  x -y = -2

Step-by-step explanation:

The coefficients of x and y in the equation of the perpendicular line will be swapped, with one of them negated. That is, the perpendicular line will have the equation ...

  x -y = constant

The value of the constant can be found using the x and y of the given point.

  x -y = 2 -4 = -2

The perpendicular line is ...

  x -y = -2