Pencils that were selling at three for 25 cents are now on sale at five for 29 cents. How much money, in cents, would you save by buying 60 pencils at the sale price

Answer:

y = 4x -3

Step-by-step explanation:

Answer:

$1.80

Step-by-step explanation:

(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!

Answer:

Step-by-step explanation:

The hemisphere will have its greatest radius along the diagonal of the cube it was surmounted on. The base of the cubical block will be square in nature. Since a cube has all its sides equal, we can find the length of its diagonal using pythagoras theorem as shown.

[tex]hyp^{2} = adj^{2} +opp^{2}[/tex]

Note that the diagonal will be the hypotenuse of the square face which is the longest sides.

Given adjacent = 14cm and opposite = 14cm

[tex]hyp^{2} = 14^{2} +14^{2}\\hyp = \sqrt{196+196} \\hyp = \sqrt{392} \\hyp = 19.8cm[/tex]

The diagonal of the base of the cube is 19.8cm which is equivalent to the greatest diameter of the sphere.

The greatest radius that the hemisphere can have = 19.8/2 = 9.9cm

Drawing diagrams

Circles

Cubes

Let's draw a figure to supplement a visual image to further understand what we need to find. Please refer to the attached image for reference. Please excuse the poor handwriting/drawing. It is also not to scale.

We know that there is a cubical block w/ side measurements of 14 cm. "Surrmounted" means on top. So a hemisphere (half of a sphere) is on top of our block.

If we take a look at our geometrical shape from the top-down angle, we can see that the top would just look like a circle within a square, as depicted in blue.

Labeling our measurements, we can see that the length, width, and height of our cubical block are equal to 14 cm due to the definition of a cube. This extends to the definition of a square as well, so the length and width of our square are also equal to 14 cm.

With the side of the square equal to 14 cm, we know that this is equal to the circle's diameter. So d = 14 cm. We can solve for the radius of the circle/hemisphere by substituting it into the radius formula:

[tex]\begin{aligned}r & = \frac{d}{2} \\& = \frac{14 \ \text{cm}}{2} \\& = \boxed{ 7 \ \text{cm}} \\\end{aligned}[/tex]

∴ the greatest radius that the hemisphere can have is equal to 7 cm. Any r > 7 cm would result in the hemisphere being over the edge of the cube.

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Learn more about Geometry: https://brainly.com/question/27732359

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Topic: Geometry

Unit: Composition of Geometrical Shapes

Answer:

Step-by-step explanation:

the equation is y=mx+b

the b part is the y-intercept

so in your equation... the y=intercept would be 7/6

Answer:

25

Step-by-step explanation:

So find the number that is a perfect square and 2 times the square root = 10

The number is 25.

Check:

[tex](x+5)^2=x^2+10x+25[/tex]

Answer:

The answer is 25.

Step-by-step explanation:

25 is a perfect square of 5. When x are added together, they form 10x.

[tex] {(x + 5)}^{2} [/tex]

[tex] {x}^{2} + 2(x)(5) + {5}^{2} [/tex]

[tex] {x}^{2} + 10x + 25[/tex]

Answer:

36 feet long

Step-by-step explanation:

3 feet x 12 feet is 36 so it will be 36 feet long!

please mark brainliest and have a nice day :)

Answer:

$1748.25

Step-by-step explanation:

Multiply:

 ($9.25/ticket)(189 tickets) = $1748.25 (total amount of ticket sales)

Answer:

A. 35 deg

Step-by-step explanation:

Use the exterior angle measure theorem.

The measure of the exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

60 + x = 95

x = 35

Answer: The accumulated amount after 5 years = $ 5352.90

The accumulated amount after 20 years = $ 12828.54

Step-by-step explanation:

Formula to find the accumulated amount after investing P amount at the rate of r ( in decimal) compounded annually for t years:

[tex]A=P(1+r)^t[/tex]

As per given , we have

P =  $4,000

r= 6% = 0.06

Put thsese values in formula : [tex]A=4000(1+0.06)^t=4000(1.06)^t[/tex]

The accumulated amount after 5 years = [tex]A(5)=4000(1.06)^5[/tex]

[tex]=4000(1.3382255776)=5352.9023104\\\\\approx5352.90[/tex]

Hence,  the accumulated amount after 5 years = $ 5352.90

The accumulated amount after 20 years = [tex]A(20)=4000(1.06)^{20}[/tex]

[tex]=4000(3.20713547221)=12828.5418888\\\\\approx12828.54[/tex]

Hence,  the accumulated amount after 20 years = $ 12828.54

Using the compound interest formula, the amount in the bank at the end of 5 years and 20 years would be $5325.90 and $12828.54 respectively

Using the compound interest formula :

After 5 years :

[tex] A = 4000(1 + 0.06)^{5} [/tex]

Amount after 5 years = $5325.90

After 20 years :

[tex] A = 4000(1 + 0.06)^{20}[/tex]

Amount after 5 years = $12828.54

Hence, the amount accumulated after 20 years will be $12828.54

Learn more : https://brainly.com/question/25581049

Answer:

$2916.00

Step-by-step explanation:

Answer:yes

Step-by-step explanation:

Answer: D

Step-by-step explanation:

(g*h)(x) is equal to g(x) times h(x). So, simply multiply them to get [tex]6x^2[/tex]

Answer:

a = -1,6 b = 1,11 c = 4,11 .

Step-by-step explanation:

Descending means from highest to lowest values, so look for the one that goes in order counting down.

Option A is going down all the way unlike any of the other answers, so A is the correct option.

Answer:

A. [tex]-2x^3+6x^2-9x+5[/tex]

Step-by-step explanation:

bacteria also have small, closed-circle of DNA called plasma and present in their cytoplasm .

Answer:

$26934.56

Step-by-step explanation:

The present value of an annuity is the current value of payments gotten from an annuity in the future, given a rate of return, or discount rate. The present value of an annuity (PVOA) is given by the formula:

[tex]PVOA=payment*\frac{[1-(1+r)^{-n}]/r}{(1+r)^{t-1}}[/tex]

n = 20 years, t = 10 years, r =12% = 0.12, payment = $10000

[tex]PVOA=10000*\frac{[1-(1+0.12)^{-20}]/ 0.12}{(1+0.12)^{10-1}}[/tex] = $26934.56

Answer:

3, 4, 5, 6

Step-by-step explanation:

Given the inequality

2 < x ≤ 6

This says that 2 is less than x , so x ≠ 2 ( left part )

x is less than or equal to 6 means x can equal 6 ( right part )

Integer values that satisfy the inequality are

x = 3, 4, 5, 6

Answer:

Step-by-step explanation:

Total cake shared=1/2

Pete share=x

Bill= twice as much as Pete

=2x

Pete's share+ Bill's share=total share

x+2x=1/2

3x=1/2

x=1/2÷3

x=1/2×1/3

=1/6

Pete's share=x=1/6

Bill's share=2x

=2(1/6)

=2/6

=1/3

Answer:

11%

Step-by-step explanation:

this is simple because there are 4 parts of the pie chart, and we are given 3. the one we don't know we will call x. Since its percents, we know that all of the percents will add up to 100, so we can write an equation.

45 + 23 + 21 + x = 100

to solve, you can subtract 45, 23, and 21 from both sides and you are left with x = 11 which is your solution for how many students had 3 or more absences.

hope it helps!

9514 1404 393

Answer:

  an infinite number

Step-by-step explanation:

In the complex plane, all of the numbers with modulus 5 form a circle of radius 5 around the origin. There are an infinite number of points on that circle.

An infinite number of complex numbers have a modulus of 5.

Answer:

The inverse is x-8

Step-by-step explanation:

g(x) = x+8

y = x+8

To find the inverse, exchange x and y

x = y+8

Solve for y

Subtract 8 from each side

x-8 = y+8-8

x-8 = y

The inverse is x-8

Answer:

  (y -12)(y -4)

Step-by-step explanation:

This can be factored as the difference of squares:

  (y -8)² -16 = (y -8)² -4² = (y -8 -4)(y -8 +4) = (y -12)(y -4)

Answer:

C) 50

Step-by-step explanation:

You first look at the 40 given to you. Then you know the angle opposite of it will be 40 also because of the law that opposite angles are the same. Once you have two angles in the triangle you can add 40 plus 90 in which you get 130 but that does not equal 180. So you can see that angle 1 is 50 because 50 and 130 equals 180.

Answer:

[tex]x^{7}[/tex]

Step-by-step explanation:

= [tex]x^{5} * x^{2}[/tex]

When bases are same, powers are to be added

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

= [tex]x^{7}[/tex]

Answer:

idk

Step-by-step explanation:

i don't see any statements jsjsjsjsjsjs

Answer:

-1 13/56

Step-by-step explanation:

[tex] \frac{4}{5} \times ( - \frac{ 3}{7} ) - \frac{3}{8} + \frac{6}{5} \times ( - \frac{3}{7} ) = \\ = - \frac{12}{35} - \frac{3}{8} + \frac{6}{5} \times ( - \frac{3}{7} ) \\ = - \frac{12}{35} - \frac{3}{8} + ( - \frac{18}{35} ) \\ = - \frac{96}{280} - \frac{105}{280} - \frac{144}{280} \\ = - \frac{201}{280} - \frac{144}{280} \\ = \frac{345}{280} = - 1 \frac{65}{280} \\ = - 1 \frac{13}{56} [/tex]

#I_hope_this_helps

#save_earth

#stay_at_home

#keep_spirit

Answer:

Sabemos que:

[tex]MH(x, y) = \frac{2xy}{x+y}[/tex]

y tenemos que:

[tex]MH (a,4) = \frac{2*a*4}{a+4} = \frac{8*a}{a+4} = 6[/tex]

Con esto podemos encontrar el valor de a:

8*a/(a+ 4) = 6

8*a = 6*(a + 4) = 6*a + 24

8a - 6a = 24

2a = 24

a = 24/2 = 12.

Tambien sabemos que:

[tex]MH(8,b) = \frac{2*8*b}{8+b} =\frac{16*b}{8+b} = 12[/tex]

Y de ahí podemos despejar b:

(16*b)/(b + 8) = 12

16*b = 12*(b + 8) = 12b + 96

16b - 12b = 96

4b = 96

b = 96/4 = 24

Entonces tenemos a = 12 y b = 24, y el MH de a y b es:

MH(12,24) = 2*12*24/(12 + 24) = 24*24/36 = 16

Answer:

The inverse of a function may not always be a function!

The original function must be a one-to-one function to guarantee that its inverse will also be a function.

Answer:

138 pairs

Step-by-step explanation:

The number of blue pleated slacks is 5 times the number of gray pleated slacks, so:

[tex]blue\ pleated = 5 * gray\ pleated[/tex] (eq1)

The number of gray non-pleated is twice the number of blue non-pleated slacks, so:

[tex]blue\ nonpleated = 2 * gray\ nonpleated[/tex] (eq2)

The total number of blue slacks is 333, and the total number of gray slacks is 225, so we have that:

[tex]blue\ pleated + blue\ nonpleated = 333[/tex] (eq3)

[tex]gray\ pleated + gray\ nonpleated = 225[/tex] (eq4)

If we add (eq1) and (eq2), we have:

[tex]blue\ pleated + blue\ nonpleated = 5*gray\ pleated + 2*gray\ nonpleated[/tex] (eq5)

Using (eq3) and (eq4) in (eq5), we have:

[tex]333 = 2*225 + 3*gray\ pleated[/tex]

[tex]gray\ pleated = 117/3 = 39[/tex]

From (eq1), we have:

[tex]blue\ pleated = 5*39 = 195[/tex]

From (eq3), we have:

[tex]blue\ nonpleated = 333 - 195 = 138[/tex]

Answer:

88

Step-by-step explanation: