There is a sale for soft drinks, so four stores are competing with each other. Which store offers the best buy? Store A : 12 pack for $3.00 Store B : 22 pack for $5:50 Store C : 18 pack for $4:75 Store D : 36 pack for $8:00

Answer: B: 23 3/4

Step-by-step explanation:

You have to multiply 4 3/4 by 5 in order to get your answer. Turn 4 3/4 into an improper fraction which would be 19/4. Then multiply it by 5; 19/4 times 5 equals 95/4. You then divide 95 by 4 which equals 23 3/4.

Answer:

Your answer is 23 3/4

Step-by-step explanation:

Answer:

your answer would be: x=1±√11 all divided by 2

Hope this helps

~QueenSupreme AKA Trinity

Answer:   [tex]\bold{\dfrac{1\pm \sqrt{11}}{2}}[/tex]

Step-by-step explanation:

[tex]x^2-x-\frac{5}{2}=0\quad \text{multiply by 2 to get:}\\\\2x^2-2x-5=0\quad \rightarrow \quad a=2,\ b=-2,\ c=-5\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(2)(-5)}}{2(2)}\\\\\\.\ =\dfrac{2\pm \sqrt{40}}{2(2)}\\\\\\.\ =\dfrac{2\pm \sqrt{44}}{2(2)}\\\\\\.\ =\dfrac{2\pm 2\sqrt{11}}{2(2)}\\\\\\.\ =\boxed{\dfrac{1\pm \sqrt{11}}{2}}[/tex]

Answer:

[tex]S.A=96\pi m^2[/tex]

Step-by-step explanation:

The surface area of a right circular cylinder is given by the formula;

[tex]S.A=2\pi r(r+h)[/tex]

where [tex]h=8m[/tex] is the height of the cylinder and

[tex]r=4m[/tex] is the radius of the cylinder.

We plug in these values into the formula to obtain;

[tex]S.A=2\pi \times4(4+8)[/tex]

[tex]S.A=8 \times12 \pi[/tex]

[tex]S.A=96\pi m^2[/tex]

Answer:

5

Step-by-step explanation:

There are 9 friends with 4 or 5 pets so, you subtract 9-4 because there are 4 friends with 2 or 3 = 5 because the question is asking how many more.

The solution to the number 8000 in scientific notation is 8  * 10³

From the question, we have the following parameters that can be used in our computation:

Number = 8000

Multiply the number by 1

So, we have

Number = 8000 * 1

Express 1 as 1000/1000

So, we have the following representation

Number = 8000 * 1000/1000

Next, we have

Number = 8 * 1000

Express 1000 as 10³

So, we have

Number = 8 * 10³

Hence, the solution is 8  * 10³

Read more about scientific notation at

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Answer:

The answer is 0.42525 TONS (METRIC)

North Carolina = 3 * Utah

North Carolina = 2 * Oregon

Arkansas = Oregon - 1,000,000

North Carolina + Utah + Oregon + Arkansas = 27,000,000

North Carolina = 3 * Utah

Utah = 1/3 * North Carolina

Utah = 1/3 * (2 * Oregon)

(2 * Oregon) + (1/3 * (2 * Oregon)) + Oregon + (Oregon - 1,000,000) = 27,000,000

2O + (1/3 * 2O) + O + O - 1,000,000 = 27,000,000

2O + 2/3O + O + O - 1,000,000 = 27,000,000

4 2/3 O - 1,000,000 = 27,000,000

4 2/3 O = 28,000,000

O = 6,008,584

NC = 2O

NC = 2(6,008,584)

NC = 12,017,167

A = O - 1,000,000

A = 6,008,584 - 1,000,000

A = 5,008,584

NC = 3U

12,017,167 = 3U

U = 4,005,722

The populations of the four states are as follows:

- Utah has a population of 4 million.

- Oregon has a population of 6 million.

- North Carolina has a population of 12 million.

- Arkansas has a population of 5 million.

Let's denote the population of Utah, Oregon, and Arkansas as U, O, and A, respectively. According to the information given:

1. North Carolina has three times the population of Utah: [tex]\( NC = 3U \).[/tex]

2. North Carolina has twice the population of Oregon: [tex]\( NC = 2O \).[/tex]

3. Arkansas has 1 million people fewer than Oregon: [tex]\( A = O - 1 \).[/tex]

4. The total population of these four states is 27 million: [tex]\( U + O + A + NC = 27 \).[/tex]

From equations (1) and (2), we can equate the populations of Utah and Oregon since both are related to the population of North Carolina:

[tex]\( 3U = 2O \) or \( O = \frac{3}{2}U \).[/tex]

Now, substitute the value of O from equation (3) into the total population equation (4):

[tex]\( U + \frac{3}{2}U + ( \frac{3}{2}U - 1 ) + 3U = 27 \).[/tex]

Combine like terms:

[tex]\( U + \frac{3}{2}U + \frac{3}{2}U - 1 + 3U = 27 \),[/tex]

[tex]\( U + 3U + 3U - 1 = 27 \),[/tex]

[tex]\( 7U - 1 = 27 \).[/tex]

Now, solve for U:

[tex]\( 7U = 27 + 1 \),[/tex]

[tex]\( 7U = 28 \),[/tex]

[tex]\( U = \frac{28}{7} \),[/tex]

[tex]\( U = 4 \)[/tex] million.

Now that we have the population of Utah, we can find the populations of the other states:

[tex]\( O = \frac{3}{2}U = \frac{3}{2} \times 4 = 6 \)[/tex] million,

[tex]\( NC = 2O = 2 \times 6 = 12 \)[/tex] million,

[tex]\( A = O - 1 = 6 - 1 = 5 \)[/tex] million.

The car would be about 90 ft

Answer:

[tex]90cm^2[/tex]

Step-by-step explanation:

The side length AB of triangle ABC corresponds to side length of PQ of triangle PQR.

The scale factor from ABC to PQR is [tex]k=\frac{6}{4}=1.5[/tex]

The area of triangle PQR will change by [tex]k^2=1.5^2=2.25[/tex] centimeters square.

Since we know the area of triangle ABC to be [tex]40cm^2[/tex], the area of triangle PQR [tex]=2.25\times 40=90cm^2[/tex]

Answer:

The area of the triangle PQR is 90 cm^2.

Step-by-step explanation:

We are given two triangles, ABC and PQR, which are similar to each other.

If two triangles are similar, then the ratio of their areas is the square of the ratio of their sides.

Given that area of the triangle ABC is [tex]40cm^2[/tex], we are to find the area of the triangle PQR.

Finding the scale factor [tex]k=\frac{6}{4} =1.5[/tex]

So square of this scale factor will be [tex]k^2=(1.5)^2=2.25[/tex]

Area of triangle PQR = [tex]2.25 \times 40[/tex] = 90cm^2

Answer: (-1, -4) and (4, 6)

Step-by-step explanation:

The pair of solution to the equations y = 2x - 2  and y = x² - x - 6

are (4, 6) and (-1, -4).

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have two equations:

y = 2x - 2

y = x² - x - 6

Equate both equations:

2x - 2 = x² - x - 6

x² - 3x - 4 = 0

Solving using the quadratic formula:

[tex]\rm x_{1,\:2}=\dfrac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:1\cdot \left(-4\right)}}{2\cdot \:1}[/tex]

x = 4, -1

y = 6, -4

Thus, the pair of solution to the equations y = 2x - 2  and y = x² - x - 6

are (4, 6) and (-1, -4).

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Answer:   5

Step-by-step explanation:

[tex]\sqrt{4x+5}-\sqrt{x-1}=\sqrt{x+4}\\\\(\sqrt{4x+5}-\sqrt{x-1})^2=(\sqrt{x+4})^2\\\\4x+5-2\sqrt{(4x+5)(x-1)}+x-1=x+4\\\\5x+4-2\sqrt{(4x+5)(x-1)}=x+4\\\\4x=2\sqrt{(4x+5)(x-1)}\\\\2x=\sqrt{(4x+5)(x-1)}\\\\(2x)^2=(\sqrt{(4x+5)(x-1)})^2\\\\4x^2=(4x+5)(x-1)\\\\4x^2=4x^2+x-5\\\\0=x-5\\\\5=x\\\\\\Check:\\\sqrt{4(5)+5}-\sqrt{(5)-1}=\sqrt{(5)+4}\\\\\sqrt{25}-\sqrt{4}=\sqrt9\\\\5-2=3\ \checkmark[/tex]

C is the one you're looking for

Answer:

2

Step-by-step explanation:

Answer:

Plane = 441 mi/h; wind =  63 mi/h

Step-by-step explanation:

distance = rate × time

 Let p = the plane's speed in still air

and w = the wind speed . Then,

p + w = speed with wind

 p - w = speed against wind

We have two conditions:

(1)  756 = (p - w) × 2

(2) 756 = (p + w) × 1.5

Distribute the constants                  (3)    756 = 2p - 2w

                                                          (4)   756 = 1.5p + 1.5 w  

Multiply Equation (3) by 3                (5) 2268 = 6p  -  6w

Multiply Equation (4) by 4                (6) 3024 = 6p + 6w

Add Equations (5) and (6)                     5292 = 12p

Divide each side by 12                     (7)        p = 441 mi/h

Substitute (7) into Equation(3)                 756 = 882 - 2w

Add 2w to each side                      2w + 756 = 882

Subtract 756 from each side                    2w = 126

Divide each side by 2                                 w = 63 mph

The plane's speed in still air is 441 mi/h.

The wind speed is 63 mph.

Check:

(1) 756 = (441 - 63) × 2     (2) 756 = (441 + 63) × 1.5

   756 = 378 × 2                   756 = 504 × 1.5

   756 = 756                         756 = 756

The speed of the plane in still air is 420 miles per hour and the wind speed is 84 miles per hour.

To solve Dave and Sandy Hartranft's problem, we set up two equations for flying into and with the wind. For Dave and Sandy flying into the wind, we use the formula speed equals distance over time: P - W = 756 miles / 2 hours. This represents the plane's speed minus the wind speed equaling the distance traveled divided by the time taken. We denote P as plane's speed and W as wind speed.

On the return trip, with the wind behind them, we calculate plane's speed plus the wind speed based on the same formula: P + W = 756 miles / 1.5 hours. Solving these two equations, you get: P = 420 miles per hour (plane's speed in still air) and W = 84 miles per hour (wind speed).

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Answer:

28 miles per gallon

Step-by-step explanation:

you divide 420 by 15 to see how many miles per gallon and

420 divided by 15= 28 (gallons)

28 miles I think I’m not sure but just divide 15 into 420 and you should get the answer.

Answer:

The answer is C, 220 units.

Answer:

C

Step-by-step explanation:

It’s the second one from the right

Since there’s a - behind x it means it has to be facing down so it’s either 2 or 4

Now it’s x-2 and we know that x moves the opposite so it needs to move 2 to the right so the answer is 2

Answer:

[tex]\large\boxed{D.\ y=-\dfrac{1}{5}x+\dfrac{32}{5}}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the slope m = -1/5. Substitute:

[tex]y=-\dfrac{1}{5}x+b[/tex]

Put the coordinates of the given point (-3, 7) to the equation:

[tex]7=-\dfrac{1}{5}(-3)+b[/tex]

[tex]7=\dfrac{3}{5}+b[/tex]            subtract 3/5 from both sides

[tex]6\dfrac{2}{5}=b\to b=\dfrac{6\cdot5+2}{5}=\dfrac{32}{5}[/tex]

Answer:

Although variables wouldn't really fit for this problem, if you were to graph it, the pizza types would be on the x axis and the cost would be on the y axis since the cost of the pizzas technically "depend" on the type of pizza.

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ x=-2, no explanation

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

There always needs to be an explanation so you understand it!

Follow this step by step.

#1. Remove all -1 on both sides.

You are left with 2(x+3)+x=0.

#2. Expand the equation.

2x+6+x=0.

#3. Simplify 2x + 6 + x to 3x + 6.

3x+6=0

#4. Subtract 6 from each side.

3x=−6.

#5. Divide both sides by 3.

x = -6/3.

#6. Simplify 6/3 to 2.

x = 2.

Therefore, you get [tex]\fbox{x = 2}[/tex].

?

Step-by-step explanation:

first you have to add the PIC to have us answer

Answer:

x + y = -1

Step-by-step explanation:

To write the equation of a line, find the slope and use it with a point in the point slope form.

You can find the slope using the slope formula.

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{5--3}{-6-2} = \frac{8}{-8}=-1[/tex]

Substitute m = -1 and the point (2,-3) into the point slope form.

[tex]y - y_1 = m(x-x_1)\\y --3 = -1(x-2)\\y+3=-1(x-2)[/tex]

Convert to standard form by applying the distributive property and rearranging the terms.

y+3 = -1(x-2)

y + 3 = -x + 2

x + y + 3 = 2

x + y = -1

Answer:

c)Q3

Step-by-step explanation:

In the third quadrant, tangent and cotangent are positive while cosine and thus secant are negative. Therefore, the solution is C. Q3

Answer:

Approx. 39.7%

Step-by-step explanation:

All you have to do is

17,892÷45,128

Answer:

40 %

Step-by-step explanation:

Percent = Responses/total surveys × 100 %

             = 17 892/45 128 × 100 %

             ≈ 40 %

Approximately 40 % of people responded to the survey.

Answer:

[tex]x \geq -56[/tex]

Step-by-step explanation:

You can solve inequalities the same way as equations as long as whenever you multiply or divide by a negative number, or flip fractions, you change the direction of the sign.

We don't have to do that here, here is the worked solution:

[tex]-12 \leq 44 + x[/tex]

[tex]-56 \leq x[/tex]

[tex]x \geq -56[/tex]

Answer:

x ≥ -56

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Hope this helps,

Davinia.

Answer:

m<2 = 63

m<3 = 117

Step-by-step explanation:

<1 and <2 are alternate interior angles and are therefore equal. M<1 = 63 degrees,  so m<2 must be the same thing.

<2 and <3 are on the same straight line.

They are supplementary.

Therefore they equal 180 degrees.

63 + m<3 = 180                  Subtract 63 from both sides.

63 - 63 +m<3 = 180 - 63   Collect like terms

m<3 = 117

Answer:

radius=3.5 Diameter=7 Circumference=21.99 area=38.48

Step-by-step explanation: These are the answers, hope you found them helpful :)

Answer:

All are True

a) 30a^6-24a^2=3à^2(10a^4-8)

b) 24a^4+18=6(4a^⁴+3)

c) 16a^5-20a^3=4a^3(4a^2-5)

D) 12a^3+8a=4(3a^3+2a)​

Step-by-step explanation:

a) 30a^6-24a^2=3à^2(10a^4-8)

since; 3à^2(10a^4-8)

        = 30a^6 - 24a^2

b) 24a^4+18=6(4a^⁴+3)

Since; 6(4a^⁴+3) opening the brackets

           = 24a^4 + 18

c) 16a^5-20a^3=4a^3(4a^2-5)

Since; 4a^3(4a^2-5) , opening the brackets we get

         = 16a^5 - 20^3

D) 12a^3+8a=4(3a^3+2a)​

Since;4(3a^3+2a)​, opening the bracket we get;

        = 12a^3 + 8a