A new price of an item is $39.32. The percent increase was 16%. What was the original price?

Answer:

Finding volume:

2^2 = 4

4 x 3.14 = 12.56

12.56  x 8(height) = 100.48

100.48 divided by 3 ( x 1/3 ) =  around 33.49 in3 is your answer.

If the options dont give you 33.49 just go by 33.51 cubic meters.

Answer:

4. slices

Step-by-step explanation:

because If you turn 3/5 in to a decimal you get 0.6 and each slice of cheese weighs 0.15 so you do 0.6 divided by 0.15

Answer:

12

Step-by-step explanation:

Answer:

[tex](a)\ y = 0.25n +1[/tex]

[tex](b)\ \$16[/tex]

Step-by-step explanation:

Given

[tex]n \to days[/tex]

[tex]y \to amount[/tex]

[tex](n_1,y_1) = (5,2.25)[/tex]

[tex](n_2,y_2) = (21,6.25)[/tex]

Solving (a): Formula that represents the scenario.

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{n_2 -n_1}[/tex]

[tex]m = \frac{6.25-2.25}{21-5}[/tex]

[tex]m = \frac{4}{16}[/tex]

[tex]m = 0.25[/tex]

The equation is calculated using:

[tex]y = m(n - n_1) + y_1[/tex]

This gives:

[tex]y = 0.25(n - 5) + 2.25[/tex]

[tex]y = 0.25n - 1.25 + 2.25[/tex]

[tex]y = 0.25n +1[/tex]

Solving (b): Amount after 60 days late.

This means that:

[tex]n = 60[/tex]

So:

[tex]y = 0.25 * 60 + 1[/tex]

[tex]y = 15 + 1[/tex]

[tex]y = 16[/tex]

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

=x^2-x+3+3x^2-3x+2

=5x^2-4x+5

Answer:

25.55

Step-by-step explanation:

Let us take the number he thinked of be x .

On doubling it :-

→ N = 2x

On adding 19 :-

→ N = 2x + 19

According to Question :-

→ 2x + 19 = 70.1

→ 2x = 70.1 - 19

→ 2x = 51.1

→ x = 51.1/2

→ x = 25.55

Answer:

$6.75

Step-by-step explanation:

1/5 of £5.60 is $1.15

5.60 +1.15 = 6.75

(I think this is the answer but it most likely is correct)

Answer:

The answer is "[tex]9a^4b^{10}(2+6a^6b^5)(2-6a^6b^5)[/tex]"

Step-by-step explanation:

For point a:

[tex]36a^4b^{10} - 81a^{16}b^{20}[/tex] by GCF

Calculating the const terms:[tex]36 \ n \ 81, \ GCF \ is\ 9\times 4 \ n \ 9\times 9[/tex]

Calculating the terms  [tex]w\ a: a^4 \ n \ a^{16},\ GCF \ is\ a^4 \ n \ a^4 \times \ a^{12}[/tex]

Calculating the terms [tex]w \ b: b^{10}\ n\ b^{20}, \ GCF \ is\ b^{10}\ n \ b^{10} \times b^{10}[/tex]

Including the GCFs, [tex]36a^4 b^{10} - 81a^{16}b^{20}[/tex]

[tex]=9a^4b^{10}(4 - 9a^{12}b^{10})\\\\4=2^2 n 9a^{12}b^{10}\\\\=(3a^6b^5)^2[/tex]

Calculating the difference of squares

[tex]\to A^2 - B^2 = (A+B)(A-B)\\\\\to 4 - 9a^{12}b^{10} \\\\\to (2+3a^6b^5)(2-3a^6b^5)\\\\[/tex]

substituting

[tex]\to 36a^4b^{10} - 81a^{16}b^{20}\\\\\to 9a^4b^{10}(2+3a^6b^5)(2-3a^6b^5)[/tex]

For point b:

Calculating the difference of squares:

[tex]A^2 - B^2 = (A+B)(A-B)\\\\36a^4b^{10}=(6a^2b^5)^2\\\\81a^{16}b^{20}=(9a^8b^{10})^2\\\\36a^4b^{10} - 81a^{16}b^{20}\\\\=(6a^2b^5+9a^8b^{10})(6a^2b^5-9a^8b^{10})\\\\=3a^2b^5(2+6a^6b^5)3a^2b^5(2-6a^6b^5)\\\\=9a^4b^{10}(2+6a^6b^5)(2-6a^6b^5)[/tex]

Answer:

a) 1/2

b) 6/100

c)1/4

I'll explain how I got these answers later.

Answer:

Step-by-step explanation:

Total highlighters = 10

A : favourable cases / total cases  = 5/10 = 1/2

B : favourable cases/ total cases * favourable cases/ new total cases

2/10 * 3/9 = 1/5 * 1/3 = 1/15

C : favourable cases/ total cases * favourable cases/ new total cases

5/10 * 4/9 = 1/2 * 4/9 = 4/18

Answer:

area of lawn = 15.708 square meters

Step-by-step explanation:

pi 3 squared (area of lawn and flower bed) - pi 2 squared (area of flower bed)= area of lawn

Answer:

B

Step-by-step explanation:

To find the slope of the line, we do y2-y1/x2-x1. In this case, for line n, I used the points (0,0) and (1,2). This means the slope will be 2-0/1-0. Simplify this to get 2/1 or 2. Therefore the slope for line n is 2.

To find the slope of the line, we do y2-y1/x2-x1. In this case, for line m, I used the points (0,7) and (1,8). This means the slope will be 8-7/1-0. This will make the slope 1/1 or 1. Therefore, the slope for m is 1.

Therefore, the slope for line n is greater than the slope of line m.

If this helps please mark as brainliest

Answer:

8 nails

Step-by-step explanation:

because 4x2=8

Answer:

i round my answer so its 4 but if it wrong its 3

Step-by-step explanation:

Answer: $11.25

Step-by-step explanation:

Since the sneakers were on sale for 15% less, the amount she bought them will be:

= (100% - 15%) × $75

= 85% × $75

= 0.85 × $75

= $63.75

Therefore, the amount she saved will then be:

= $75 - $63.75

= $11.25

She saved $11.25

Step-by-step explanation:

Write what you know

A square has 4 sides

the perimeter is the sum of the length of all 4 sides

so 4yards / 4 sides = 1 yard per side

we also know a square has all equal sides

that means our area formula will be 1 x 1

Answer:

45 degrees

Step-by-step explanation:

360/2=180

180/2=90

90/2=45

Answer:

Step-by-step explanation:

A i think

9x + 18 = 6(x + 3) + 3x = 3(3x + 6)

3x + 15 = 3(2x + 5) - 3x = x + 2x + 15

Answer:8 mph

Step-by-step explanation:

Answer: The slope between these two is 3.5

Answer:

Solpe=4.5

Step-by-step explanation:

Sorry if I’m wrong, but I think I got it.

So the formula for slope is    y2-y1/x2-x1  

In (-3,-2) )-7,-16),  -3 is x1, -2 is y1, -7 is x2, and -16 is y2.

Now, you need to fill in the formula with these numbers.

-16-2/-7- - 3

-16-2 is -18

-7- - 3 is -4 (two negatives make a positive)

This makes -18/-4. Divide this to get 4.5.

Let me know if you have any questions!! :)

Answer:

1.36

total cans =11

the prob. of drawing orange juice can= 4/11

the prob of drawing apple juice can= 7/11

the prob of drawing any of the juice= 4/11 + 7/11

= 15/11

= 1.36

Answer:

Step-by-step explanation:

here opposite =20, hypotenuse=29

to find adjacent use formula

a^2+b^2=c^2

20^2+b^2=29^2

400+b^2=841

b^2=841-400

b=[tex]\sqrt{441\\}[/tex]

b=21

tan theta=opposite/adjacent

=20/21

therefore tan theta =20/21

Answer:

D. tanθ = 20/21

Step-by-step explanation:

Remember that sinθ = opposite/hypotenuse. In this case, since sinθ = 20/29, we are going to say that opposite = 20 and hypotenuse = 29.

To solve for the adjacent side, use the Pythagorean theorem, a^2 + b^2 = c^2.

When you plug in your values and solve for the other leg, you'll get 21.

Now that we know that the adjacent side/other leg is equal to 21, we can find tanθ, since it's equal to opposite/adjacent.

Opposite = 20

Adjacent = 21

tanθ = 20/21

Answer:

D c=0

Step-by-step explanation

x = 15 ft

Step-by-step explanation:

x/20 = 6/8

or

x = (3/4)(20 ft)

= 15 ft