Joanna went school supply shopping. She spent $21.45 on notebooks and pencils. Notebooks cost $1.97 each and pencils cost $1.16 each. She bought a total of 15 notebooks and pencils. How many of each did she buy?
A.
5 notebooks; 10 pencils
B.
3 notebooks; 12 pencils
C.
8 notebooks; 7 pencils
D.
10 notebooks; 5 pencils

Answer:

256square units

Step-by-step explanation:

Since we are not given a diagram. Let us assume the side length of the given square is 8 units

If the  the square is enlarged by a scale factor of 2, the side length of the new square will be 2 * 8 = 16units

Since area of a square = L²

Hence the area of the new square =  16²

area of the new square =  256 square units

Hence the area of the new square is 256square units

Note that the side length of the original square was assumed. The values can change depending on the side length of the original square before enlargement

Answer:

39

Step-by-step explanation:

I did the math

Answer:

x= 10, x=1

Step-by-step explanation:

(x-1)(x-10)=0

then solve for x

Answer:

The new shape will be like the one that i have drawn for you , i think .

Step-by-step explanation:

add two ( to base* from both sides of it * )

delete one ( from hights )

Hope it was useful ;)

Answer:

D if i'm wrong i'm so sorry

Step-by-step explanation:

Answer: 4 black marbles, 3 blue, 2 green, and one red.

Step-by-step explanation:

 Answer:                    

Step-by-step explanation:

Answer:

10%

Step-by-step explanation:

The first step is to calculate the decrease

Original price= $41.10

New price= $36.99

= 41.10-36.99

= 4.11

4.11/41.10 × 100

= 0.1×100

= 10%

Hence the percentage decrease is 10%

Answer:

C

Step-by-step explanation:

kkgkckyxitxitzoyfoycyoc

Answer:

A

Step-by-step explanation:

I believe it is A If I remember correctly

Answer:

[tex]Length = Width = 6\ units[/tex]

Step-by-step explanation:

Given

[tex]Area=36[/tex]

Required

The least possible material

Sandboxes usually, are rectangles or squares.

Using the above assumption, the area is calculated as:

[tex]Area= Length * Width[/tex]

[tex]Area= L* W[/tex]

[tex]L * W = 36[/tex]

Make L the subject

[tex]L = \frac{36}{W}[/tex]

The material of the outer edge is calculated by the perimeter.

[tex]Perimeter = 2 * (L +W)[/tex]

[tex]P = 2 * (L + W)[/tex]

Substitute [tex]L = \frac{36}{W}[/tex]

[tex]P = 2 * (\frac{36}{W} + W)[/tex]

Open bracket

[tex]P = \frac{72}{W} + 2W[/tex]

[tex]P = 72W^{-1} +2W[/tex]

To get the minimum material needed, we differentiate P

[tex]P' = -72W^{-2} + 2[/tex]

Set: [tex]P' = 0[/tex]

[tex]-72W^{-2} + 2 = 0[/tex]

Collect like terms

[tex]72W^{-2} = 2[/tex]

Divide both sides by 72

[tex]W^{-2} = \frac{2}{72}[/tex]

[tex]W^{-2} = \frac{1}{36}[/tex]

Rewrite as:

[tex]\frac{1}{W^2} = \frac{1}{36}[/tex]

Take positive square roots of both sides

[tex]\frac{1}{W} = \frac{1}{6}[/tex]

Cross multiply

[tex]W = 6[/tex]

Recall that: [tex]L = \frac{36}{W}[/tex]

So, we have:

[tex]L =\frac{36}{6}[/tex]

[tex]L = 6[/tex]

Hence, the dimension with the littlest material as possible is:

[tex]Length = Width = 6\ units[/tex]

62.4 bass per year from year 5 to year 8, the average rate of change from the population was about 67.6 best per year the change of rate increase was about

Step-by-step explanation:

start at 7 on the number line. move to the left (because the value is negative) 2 jumps. you will land on 5.

Answer: 5

Step-by-step explanation:

Usually you would just do 7+-2 which is also 7-2 which equals 5 but since it's a number line you do this

You would locate 7 on the number line and do the same for -2

Once done, you would take the distance 2 is from 0 and push 7 there(basically moving it to 5) and that would be how you would use a number line to find the sum of 7 + -2

Now if the 2 was positive, this would be different and you would add the distance making it 9 but since it's negative you push it towards 0 which makes it 5

I hope this helps!

Answer:

3

Step-by-step explanation:

Answer:

216

Step-by-step explanation:

(6 to the -4th) * (6 to the 7th)

Answer:

<B = 95degrees

<D = 137 degrees

Step-by-step explanation:

From the given diagram, the sum of the adjacent sides of the trapezoid is 180degrees. Hence;

<A +<B = 180

85 + <B = 180

<B = 180 - 85

<B = 95degrees

Similarly

<C + <D =180

43 + <D = 180

<D = 180 - 43

<D = 137 degrees

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:[tex]d=-1\frac{1}{5}-(-2) =-1\frac{1}{5}+2=\frac{1}{5}[/tex]

Answer:

81.64

Step-by-step explanation:

formula for volume of a cylinder is pi times radius squared times height

the radius here is 2, and the height is 6.5

plug the numbers into the formula and you get pi(2^2)(6.5), which is 81.64

Answer:

you already click the answer

Step-by-step explanation:

Answer:

29.5 times pi or 3.14

Step-by-step explanation:

Answer:

y = 3x - 2

3x - y = 2

y = 2(x + 3)

Step-by-step explanation:

y = the larger number

x = the smaller number

A larger number is double the sum of 3 and a smaller number

y = 2(x + 3)

y = 6 + 2x

The larger number is 2 less than 3 times the smaller number.

y = 3x - 2

Make -2 the subject

y - 3x = -2

Make 2 the subject

y = 3x - 2

y - 3x = -2

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

-y + 3x = 2

3x - y = 2

The answers:

y = 3x - 2

3x - y = 2

y = 2(x + 3)

Answer: Are there any answer choices? If there are I could probably help you, thanks <3

Step-by-step explanation:

Answer:

.86

Step-by-step explanation:

Exponential function formula

[tex]y = a ( 1 + or - r ) ^t[/tex]

where a = initial value

r = rate of change

and t = number of years

given the equation y = 34000(0.86)^x.

r = .86

Hence the change factor is .86

Answer:

C represents a function

Answer:

x<5

Step-by-step explanation:

(3x<15)

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

x<15/3

Divide 15 by 3 to get 5.

x<5