12. A grocery store collects donated canned
food for a food bank. The cans are packed
in boxes that hold 24 cans. The store has
collected 744 cans.
a) Draw a graph to show this situation. Put
the number of boxes on the horizontal
axis and the number of cans on the
vertical axis. 2
b) Use your graph to estimate the number
of boxes needed to hold 744 cans.
c) Write an equation that relates the
number of boxes needed to the number
of cans.
d) Solve your equation to determine the
number of boxes needed.
e) Compare your solution in part (d) with
your estimate in part (b). Do you think
)
your solution is correct? Explain.

Answer:

1. 200

2. 50

Step-by-step explanation:

1. you put 10 over 5 as a proportion with x over 100 on the other side

2. you put 5 over 10 as a proportion with x over 100 on the other side

The value of variable t =8.34.

We have  solve the equation  [tex]\frac{t}{3} = 2.78[/tex]

A statement that the values of two mathematical expressions are equal.

We will use the steps below to solve this equation

First, multiply by 3 on both-side of the equation.

[tex]\frac{t}{3} \times 3= 2.78 \times 3[/tex]

[tex]t=8.34[/tex]

[tex]t = 8.34[/tex]

We can further substitute 8.34 for t to check the correctness of the solution that is,

[tex]\frac{8.34}{3}= 2.78[/tex]

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Answer:

19

Step-by-step explanation:

Do what is in parenthesis first.

(4 - 3) = 1

(27 - 2 * 3) = (27 - 6) = 21

Now the equation looks like this:

1 - 3 (1) + (21) =

1 - 3 + 21 =

19

Answer:

7

0.37 is closest to 0 but probably 1

3

16

Answer:

12 miles

Step-by-step explanation:

There are 3 hours = 180 minutes

180÷30=6

6×2=12

Hope that helps!

Answer:

12 miles

Step-by-step explanation:

Answer:

Vat amount = Rs 2340

Mp = Rs 22500

[tex]\mathsf\blue{♧ANSWER♧}[/tex]

Area = length × width

[tex] \mathsf \green{4 \frac{1}{2} \times 2 \frac{1}{4} }[/tex]

[tex] \orange \implies \mathsf \green{ \frac{9}{2} \times \frac{9}{4} }[/tex]

[tex] \orange \implies \mathsf \green{ \frac{81}{8} = 10.125}[/tex]

[tex] \mathsf \blue{10.125 \: square \: units}[/tex]

Answer:

15% off

Step-by-step explanation:

28-23.80 = 4.2$

23.8/28 = 0.85

100-85 = 15

15%

Answer: 107 meters

Step-by-step explanation:

There are 2 ways to solve this:

1. The formula for arc length is: arc length = angle (in radians) * radius.

Thus, convert 123 degrees to radians by multiplying it by (pi/180), and then multiply this number by 50 (half of the diameter is the radius) in order to get 107.

2. Find the circumference of the track using C = pi*diameter and get 314.16. Then, set up a proportion: 314.16 meters / 360 degrees = x meters / 123 degrees and solve to get 107 :)

Answer:

[tex]surface \: area \: ofa \: cube \: \\ area = \: 6 {a}^{2} \\ 6( {3}^{2} ) \\ 6(9) = 54[/tex]

Answer:

g(x) = (x - 1)^2 + 2.

Step-by-step explanation:

1 unit to the right x---> (x - 1)

2 units up ------  f(x) moves up --->  + 2

answer is (x - 1)^2 + 2

Step-by-step explanation:

60° + 80° + y = 180° ( being straight angle )

140° + y = 180°

y = 180° - 140°

y = 40°

Answer:

1 = 123 degrees

Step-by-step explanation:

A Triangle = 180 degrees

A flat line = 180 degrees

To solve this, we need to figure out the triangle first :)

60 + 63 + t = 180

123 + t = 180

180 - 123 = 57

Now that we know the triangle, we can figure out x :)

180 - 57 = 123

1 = 123

Have an amazing day!!

Please rate and mark brainliest!!

to get the equation of any straight line, we simply need two points off of it, well, let's use the provided values hmmm

[tex]\begin{array}{ccll} \stackrel{toppings}{x}&\stackrel{cost}{y}\\ \cline{1-2} 3 & 7.50\\ 8& 10 \end{array} \qquad\implies \qquad (\stackrel{x_1}{3}~,~\stackrel{y_1}{7.50})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{10}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{7.50}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{3}}}\implies \cfrac{2.5}{5}\implies \cfrac{~~ \frac{25}{10}~~}{5}\implies \cfrac{25}{50}\implies \cfrac{1}{2}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7.50}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{3})\implies y-\cfrac{750}{100}=\cfrac{1}{2}(x-3) \\\\\\ y-\cfrac{15}{2}=\cfrac{1}{2}x-\cfrac{3}{2}\implies y=\cfrac{1}{2}x-\cfrac{3}{2}+\cfrac{15}{2}\implies y=\cfrac{1}{2}x-6[/tex]

Answer add all the numbers  both sides then you put them in a caculator and what you do is put all the numbers you have in the question in the caculator and yur done

Step-by-step explanation:

check the answer in the solution part.

[tex]Solution:\ f(x)=-6x-3.\ when\ x=0.\ f(x)=-3[/tex]

                 [tex]h(x)=2\ cos(x+\pi)-1\ when\ x=0.h(x)=-3\\ So\ we\ can\ know\ \left|-3\right|=\left|-3\right|\ so\\ the\ two\ functions\ has\ the\ same\\ y-intercepts.[/tex]

I hope this helps you

:)

Answer:

A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.

It factors to (a+b)(a-b).

Step-by-step explanation:

A binomial is an expression with only terms where at least one is a term with a variable. When we can factor for difference of squares, we can have two variable terms or just one with a constant.

A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.

It factors to (a+b)(a-b).

Answer:

Step-by-step explanation:

An example is a^2 - b^2.

Also 64 - 49   (as 64 are both perfect squares).

The way to factor is by using the identity:

a^2 - b^2 = (a - b)(a + b)      ( a + in one parentheses and - in the other)

Examples:

x^2 - 4y^2 = (x - 2y)(x + 2y)     [ x is the square root of x^2 and 2y is square root of 4y^2)

144 - 16 = (12 - 4)(12 + 4)

9x^2 - 36y^2 = (3x - 6y)(3x + 6y)

The functions f, g and f ◦ g are illustrations of relations and functions

If f and f ◦ g are onto, it does not necessarily follow that g is onto

The onto functions are given as:

Consider the functions f and g.

The function f is an onto function, if for every element of function f, there is at least one matching element  with function g.

The above definition implies that the following definition is not a condition for the two functions to be an onto function

If for every element of function g, there is at least one matching element  with function f.

Hence, it does not necessarily follow that function g is onto

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The total length of the trip is approximately 700 miles as per the concept of percentage.

To find the total length of the trip, we need to determine the distance covered before Ella fell asleep and then calculate the whole trip's length.

Let's denote the total length of the trip as "T" miles.

Ella slept through the last 14% of the trip, so she was awake for the first 100% - 14% = 86% of the trip.

The distance covered before Ella fell asleep is 86% of the total trip's length:

86% of T = 0.86T

We know that Ella fell asleep after they had traveled 602 miles, so we can set up the following equation:

0.86T = 602

To find the total length of the trip, we solve for T:

T = 602 / 0.86

T ≈ 700

The total length of the trip is approximately 700 miles. Ella's family traveled this distance, and Ella fell asleep after they had traveled 602 miles, which is 86% of the total trip's length.

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#SPJ3

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]f(x) = 2^{x}[/tex]

translate 3 units up will change the y coordinate so will add 3 to y or f(x)

[tex]f(x) = 2^{x} +3[/tex]

translate 4 units to the left will change the x coordinates so will add 4 to the x to move towards left

[tex]f(x) = 2^{x+4} +3[/tex]

Answer:

B. $34,086

Step-by-step explanation:

did the math

The total amount of annual take-home pay of Cynthia is $34,086.25

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

Cynthia earns $41,875 annually.

If the Canadian government levies an income tax of 18.6% on Cynthia’s tax bracket.

It can be calculated as

41,875 × 18.6%

41,875 × 18.6/100 = 7,788.75

The annual take-home pay

41,875 - 7,788.75 = $34,086.25

Thus, The total amount of annual take-home pay is $34,086.25.

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Answer:

[tex]x = -9[/tex]

Step-by-step explanation:

Given equation:

[tex]25^{2x+3} = 125^{2x+8}[/tex]

Convert 25 and 125 to base 5:

[tex]\implies (5^2)^{2x+3} = (5^3)^{2x+8}[/tex]

Apply exponent rule  [tex](a^b)^c=a^{bc}[/tex]

[tex]\implies 5^{2(2x+3)} = 5^{3(2x+8)}[/tex]

If [tex]a^{f(x)}=a^{g(x)}[/tex] then [tex]f(x)=g(x)[/tex]:

[tex]\implies 2(2x+3) = 3(2x+8)[/tex]

Expand:

[tex]\implies 4x+6 = 6x+24[/tex]

Subtract 6x from both sides:

[tex]\implies -2x+6 = 24[/tex]

Subtract 6 from both sides:

[tex]\implies -2x=18[/tex]

Divide both sides by -2:

[tex]\implies x=-9[/tex]

Let's solve up

[tex]\\ \rm\rightarrowtail 25^{2x+3}=125^{2x+8}[/tex]

[tex]\\ \rm\rightarrowtail 5^{2(2x+3)}=5^{3(2x+8)}[/tex]

[tex]\\ \rm\rightarrowtail 5^{4x+6}=5^{6x+24}[/tex]

[tex]\\ \rm\rightarrowtail 4x+6=6x+24[/tex]

[tex]\\ \rm\rightarrowtail -18=2x[/tex]

[tex]\\ \rm\rightarrowtail x=-9[/tex]

Answer:Its A, Tiffani's prediction is valid. The probability of the next customer ordering a white bib is about 30%.

Step-by-step explanation:Did the K12 quiz

we can always get the common ratio of a geometric sequence by simply dividing the current term by the previous term, in this case for the sake of simplicity let's divide 2/3 by 2, so  

[tex]\cfrac{2}{3}\div 2\implies \cfrac{2}{3}\div \cfrac{2}{1}\implies \cfrac{2}{3}\cdot \cfrac{1}{2}\implies \cfrac{1}{3}\impliedby \textit{common ratio}[/tex]

so the sequence more or less looks like   [tex]2~~,~~\cfrac{2}{3}~~,~~\cfrac{2}{9}~~,~~\cfrac{2}{81}~~,~~\cfrac{2}{243}[/tex]

so we'd want the sum of the first 5 terms

[tex]\qquad \qquad \textit{sum of a finite geometric sequence} \\\\ \displaystyle S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ r=\textit{common ratio} \end{cases} \\\\\\ S_5=2\left( \cfrac{1~~ - ~~(\frac{1}{3})^5}{1~~ - ~~\frac{1}{3}} \right)\implies S_5=2\left( \cfrac{~~\frac{242}{243}~~}{\frac{2}{3}} \right)\implies S_5=\cfrac{242}{81}\implies S_5=2\frac{80}{81}[/tex]

This isn't my work, though it's the answer to your question.

Answer:

The weight of an object when the mass is 10 kg will be 30 N.

Step-by-step explanation:
8/10 = 24/x

Cross multiply

8x = 24 × 10

8x = 240

x = 240/8

x = 30

Answer:

I’m just answering for him to get brainliest :)

Step-by-step explanation:

The boat F spends a time of 3 hours to travel 200 miles north and the boat G spends a time of 4 hours to travel 160 miles south.

In this question we suppose that each boat travels at constant velocity. In this case and dimensionally speaking, the speed ([tex]v[/tex]), in miles per hour, is equal to the traveled distance ([tex]s[/tex]), in miles, divided by time ([tex]t[/tex]), in hours. Then, this problem can be represented by the following expression:

[tex]\frac{200}{x-1} = \frac{160}{x}[/tex]   (1)

Now we clear [tex]x[/tex] within (1):

[tex]200\cdot x = 160\cdot (x-1)[/tex]

[tex]x = 4[/tex]

The boat F spends a time of 3 hours to travel 200 miles north and the boat G spends a time of 4 hours to travel 160 miles south. [tex]\blacksquare[/tex]

The statement is incomplete and poorly formatted. The complete statement is shown below:

Two boats leave a dock at the same time, but they are traveling in opposite directions at same speed. The longest time either boat is capable of traveling without stopping is 6 hours. Boat F travels 200 miles north in [tex]x-1[/tex] hours, and Boat G travels 160 miles south in [tex]x[/tex] hours. How much time does each boat travel?

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Answer:

5(t+6). I think this may helps you

Answer:

D. 2/5

Step-by-step explanation:

Your would add the entire amount of balls in the toy bin. 12+3+5 which equals 20. You would then add the number of white and orange balls 3+5. You would then have 8/20 which simplified is 2/5

Scientific notation is the way through which a very small or a very large number can be written in shorthand. The quotient of 2.5×10⁻³ by 7.1×10⁷ is 3.5211×10⁻¹¹.

Scientific notation is the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12.

We know we need to divide 2.5×10⁻³ by 7.1×10⁷. Therefore, if we divide the two numbers the solution will be,

[tex]\dfrac{2.5 \times 10^{-3}}{7.1 \times 10^7}\\\\ = \dfrac{2.5}{7.1} \times 10^{-3-7}\\\\= 0.35211 \times 10^{-10}\\\\= 3.5211 \times 10^{-11}[/tex]

Hence, the quotient of 2.5×10⁻³ by 7.1×10⁷ is 3.5211×10⁻¹¹.

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Answer:

A. The E indicates that the solution is given in scientific notation.

B. The coefficient is 3.5211.

D. The solution can be written in scientific notation as 3.5211 × 10^-10

Step-by-step explanation:

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