Westwood Grocery Store needs a new freezer for popsicles and ice cream bars. The owner finds a freezer that is 4 feet long, 2 feet wide, and 3 feet tall. What is the volume of the freezer?

Answer:

a

Step-by-step explanation:

Given :

[tex]\longrightarrow \sf \qquad {6x}^{2} + 10x - 56[/tex]

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We can write it as,

[tex]\longrightarrow \sf \qquad2 \bigg({3x}^{2} + 5x - 28 \bigg)[/tex]

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We have to find the two numbers a and b such that,

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[tex]\longrightarrow \sf \qquad a + b = 5[/tex]

[tex]\longrightarrow \sf \qquad a b = 84[/tex]

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Obviously, the two numbers are 7 and 12.

[tex]{\longrightarrow \sf \qquad2 \bigg({3x}^{2} - 7x + 12x- 28 \bigg)}[/tex]

[tex]{\longrightarrow \sf \qquad2 \bigg[x \bigg(3x-7 \bigg) +4 \bigg(3x-7\bigg)} \bigg][/tex]

[tex]{\longrightarrow \sf \qquad{2 \bigg(3x - 7 \bigg) \bigg(x + 4\bigg)}}[/tex]

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Therefore,

[tex]{\longrightarrow \bf \qquad{2 \bigg(3x - 7 \bigg) \bigg(x + 4\bigg)} \: is \: equivalent} \bf \: \: to \: \: {6x}^{2} + 10x - 56[/tex]

Answer:

The perimeter to the nearest integer is 9.

Answer:

-988

Step-by-step explanation:

see all u do is subtract 2-5 multiply 5 times 3 and 3 times 22 and 22 times 33 and end up getting -988

Answer:

Anthony mother's has enough flour for each of Anthony's friends to get a cupcake.

Step-by-step explanation:

Let suppose that Anthony and his friend will receive at least one cupcake, which means that Anthony's mother should make at least 9 cupcakes ([tex]\frac{3}{4}[/tex] dozens).

From statement we notice that quantity of cupcakes is directly proportional to the quantity of flour.

According to the recipe, the required amount of flour and cupcakes are, respectively:

Flour

[tex]3\,\frac{1}{3}\,cups = 3 \,cups +\frac{1}{3}\,cups = \frac{10}{3}\,cups[/tex]

Cupcakes

[tex]2\,\frac{1}{2}\,dozens = 2\,dozens +\frac{1}{2}\,dozens = \frac{5}{2}\,dozens[/tex]

If Anthony's mother has 1 cup of flour at her disposal, the amount of cupcakes is obtained by simple rule of three:

[tex]x = \frac{5}{2}\,dozen\times\frac{1\,cup}{\frac{10}{3}\,cups }[/tex]

[tex]x = \frac{3}{4}\,dozen[/tex]

In a nutshell, Anthony mother's has enough flour for each of Anthony's friends to get a cupcake.

Answer:

3x- 12

Step-by-step explanation: :))) this is true because a number next to a variable means multiplying and then youd subtract 12 from that total

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6000\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases} \\\\\\ A=6000\left(1+\frac{0.035}{1}\right)^{1\cdot 4}\implies A=6000(1.035)^4\implies A\approx 6885[/tex]

The magnitude of the Force F2 is; 12 N

According to newton's third law of motion which states that to every action there is an equal and opposite reaction, since F1 has a magnitude of 12N, it means that F2 will be an equal force acting in the opposite direction.

Now, since the force F2 is equal and opposite to F1, then F2 = 12 N

Read more about equilibrium of forces at; https://brainly.com/question/20892645

Answer:12n

Step-by-step explanation:

Answer:

This is a clear case to use the Pythagorean Teorem, as we need to calculate diagonal lenght of a rectangle, and to do so, we can divide it in right triangles.

As the Pythagorean Teorem says [tex]a^2 + b^2 = c^2[/tex]

We can now replace on [tex]a^2 + b^2 = c^2[/tex] the numbers we have [tex]24^2 + 32^2 = c^2[/tex]

Now, we solve [tex]24^2 + 32^2 = c^2[/tex] by operating:

[tex]\sqrt{1600} = b[/tex]; b = 40

The diagonal lenght is 40 inches r

Answer:

Step-by-step explanation:

Given equation

Solving for x

Let's see what the division method gives

No solution. This method proves to be incorrect.

Answer:

You can write this as: [tex]\\\frac{d+ 7}{-3}=4[/tex]

Step-by-step explanation:

D would have to equal 5.

Answer:

21.00 hours

Step-by-step explanation:

4 hours, 30 minutes=4.5 hours

4 hours, 45 minutes=4.75 hours

5 hours, 30 minutes=5.5 hours

6 hours, 15 minutes=6.25 hours

4.5 + 4.75 + 5.5 + 6.25 = 21.00 hours

Answer: Power (P) = 5.4 watt (W)  Current (I) = 0.6 ampere (A)

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Answer:

C: after 5 seconds

Answer:

x= 5/9 or 0.5556

Step-by-step explanation:

|2x-5| = -3x+4

|5x-5|=4

|5x|=9

|x|=5/9 or 0.5556

x= 5/9 or 0.5556

Answer: 8

Step-by-step explanation:

We have to complete the operation in the parenthesis first. 8-2 is 6. Now we have to take 4(6) which is 24. Now we have 6^2-24. 6^2 is 36. So 36-24 is 12. 16-12 is 4. Now 2 times 4 is 8.

Answer:

B

Step-by-step explanation:

When reflecting over the x axis, (x,y) -> (x, -y)

This means P(4,6) -> P'(4, -6)

Answer:

x= 27

y= 18

Step-by-step explanation:

Answer:

a. [tex]1\frac{1}{8} in.[/tex]

Step-by-step explanation:

hey there,

< There are 8 marks between 1 in. and 2 in. and here we can see that the distance of the line goes only up to the first mark.

Imagine this like a pizza that's divided into 8, but you only took 1 slice. That means you took only [tex]\frac{1}{8}[/tex] of the pizza. It is the same here on the ruler.

It's not only 1/8 though because we also have to add in the first inch. After that inch, we also have 1/8 of an inch. So [tex]1\frac{1}{8}[/tex] in. would be your final answer. >

Hope this helped! Feel free to ask anything else.

Answer:

-2

Step-by-step explanation:

To find the slope, you can do rise (change in y)/run (change in x). Take the points (0, 0) and (3, -6) There is a change of -6 in the y-direction (you can count on the graph) and a change of +3 in the x-direction. Using this, rise/over run, plug in -6/3 to get -2 as the slope.

Answer:

-1

Step-by-step explanation:

To visualize this on a number line you are moving four spots over to the left of 3 (since it is to the left, it is a negative four). 3 to 2 is the first movement to left, 2 to 1 is the 2nd movement, 1 to 0 is the third movement, and 0 to -1 is the fourth movement to the left.  

Answer:

-1

Step-by-step explanation:

It's basically 3-4

Let's say you have to make 4 pies by 4:00 but only make 3. You'd be missing 1.

Answer: f(x+5/7)=5x-24/7

Answer:

Probably A

Step-by-step explanation:

Well, what I'm seeing is just that y = x squared.

[tex]y=x^{2}[/tex]

Answer: the first one

Step-by-step explanation: i may be wrong but i think its the first one, if its not please correct me

Answer:

A=1/8

Step-by-step explanation:

used a calculator

Answer:

It has decreased by 2 units. The percent of decrease is 25%.

Step-by-step explanation:

100(1-(b/a)) is the way of finding depreciation where a is the starting value and b is the final value.

100*(1-(6/8))

100*(1-3/4)

100*1/4

25

Answer:

The amount of decrease is 2 and the percent decrease is 75%

Step-by-step explanation:

Amount of decrease
8-2=6

Percent decrease

6/8=3/4=0.75=75%

Answer:

simplify the answer to 1 over 6

Answer:

1/6 or (Decimal: 0.166667)

Step-by-step explanation:

Answer:

completing the square

Step-by-step explanation:

you have to complete it to get the awnser

Answer:

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

Step-by-step explanation:

Answer:

Areas and volumes of cylinders etc

Step-by-step explanation:

Given:

h = 10.7 in

V = 619 in^3

Volume (V) = π[tex]r^{2}[/tex]h

619 = 22/7×[tex]r^{2}[/tex]×10.7

∴[tex]r^{2}[/tex] = 619x7/ 22x10.7

r = 4,3 in approx.

Please check calculation for me but thats how one proceeds