To make 5 smoothies that have the same ratio of apple juice to orange juice as 1 smoothie does, how much apple juice and orange juice should Sarah use? Explain.

Answer:

[tex] \rm x = \dfrac{2e - 1}{ {e}^{2} } [/tex]

Step-by-step explanation:

[tex] \rm Solve \: for \: x: \\ \rm \longrightarrow ex + {e}^{ - 1} = 2 \\ \\ \rm \longrightarrow e x + \dfrac{1}{e} = 2 \\ \\ \rm Subtract \: \dfrac{1}{e} \: from \: both \: sides: \\ \rm \longrightarrow e x + \dfrac{1}{e} - \dfrac{1}{e} = 2 - \dfrac{1}{e} \\ \\ \rm \longrightarrow ex = \dfrac{2e}{e} - \dfrac{1}{e} \\ \\ \rm \longrightarrow ex = \dfrac{2e - 1}{e} \\ \\ \rm Divide \: both \: sides \: by \: e: \\ \rm \longrightarrow \dfrac{ex}{e} = \dfrac{2e - 1}{e \times e} \\ \\ \rm \longrightarrow x = \dfrac{2e - 1}{ {e}^{2} } [/tex]

Answer:

1/3

Step-by-step explanation:

2-0=2

-1 - -7 = 6

2/6. = 1/3

Answer:

x=33

Step-by-step explanation:

subtract 17 from both sides, and then you are left with x=33

Answer:

The system of equations has one solution at (-4, 4).

Step-by-step explanation:

We are given the system of equations:

[tex]\displaystyle\left \{ {{5x+9y=16} \atop {x+2y=4}} \right.[/tex]

We can use elimination to solve this system. We need to multiply the second equation by -5 so we can cancel out our x-terms.

[tex]-5\times(x+2y=4) \rightarrow -5x - 10y = -20[/tex]

Therefore, our system now becomes:

[tex]\displaystyle\left \{ {{5x+9y=16} \atop {-5x-10y=-20}} \right.[/tex]

Now, we can add these two equations together and solve for y.

[tex]\displaystyle(5x + 9y) + (-5x - 10y) = 0 - y\\\\16 + (-20) = -4\\\\-y = -4\\\\\frac{-y}{-1}=\frac{-4}{-1}\\\\y = 4[/tex]

Now, we can substitute our value for y into one of the equations and solve for x.

[tex]x+2(4)=4\\\\x + 8 = 4\\\\x = -4[/tex]

Therefore, our final solution is (-4, 4).

Answer:

x=0

Step-by-step explanation:

Answer:

x=24

Step-by-step explanation:

12= -4(-6x-3)

12=24x+12

-24x= 12-12

-24x=0

X=24

Answer:

The solutions are not viable because the amount of the sale cannot be negative

Step-by-step explanation:

We are told that;

Let A be the amount of the sale in dollars and C be the charge of the online auction

This means that both values of A and B should be non-negative integers.

Now, we are also told that An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale.

We can conclude that the solution is not viable because the amount of sale of -1.1 cannot be negative.

Answer:

56x4

Step-by-step explanation:

56x2= 112 so since you have 56x2 twice you want to add 112+112 to get 224 now what you wanna do is to divide 56 from 224 and your answer will be 4 so you can say 56x4

Answer:

E (none of the above)

Step-by-step explanation:

1 = k(1.5)

2 = k(3)

Therefore, k = 2/3

and when we put k = 2/3 into all values in the table we notice it is right

but it could be "A" also if the relationship was cups of water to cups of rice

Answer:

The slides is 36 and the angle is 180.

Step-by-step explanation:

14.4m+15.6m+6m=36

90+30+50=180  

If they ask why it is 180 because when adding all the angles it has to give you a total of 180.

Answer:

since they both bisect themselves it means they are equal

i.e 3x=5x-30

3x-5x=-30

-2x=-30

minus cancels minus

2x=30

x=15

Answer:

x = 15

Step-by-step explanation:

3x = 5x - 30

-2x = -30

x = 15

Answer:

x(x+1)=6​

Step-by-step explanation:

6= 2 numbers, one after the other, so you have the same number and add 1 to make the second number.

Example:

6=2.5 and 3.5

Answer:

X * (x+1) = 6

Step-by-step explanation:

Answer:

The answer is "[tex]\frac{\pi a^3}{9}[/tex]".

Step-by-step explanation:

please find the complete question in the attached file.

Let the sphere center be (0,0,0) and then let the intersection diameter lie all along the z-axis.  

So one of the collision plans is the xz-plane the other is the path via an xz-plane angle.

[tex]\theta = \frac{\pi}{6}[/tex]

All appropriate region could then be indicated in spherical coordinates

[tex]E= {(\rho, \theta, \phi) : 0 \geq \rho \geq a, 0 \geq \theta \geq \frac{\pi}{6}, 0 \geq \phi \geq \pi }[/tex]

Calculating the volume:

[tex]\to v(E)=\int \int_{E} \int dV\\[/tex]

            [tex]=\int_{0}^{\frac{\pi}{6}} \int_{0}^{\pi} \int_{0}^{a} \rho^2 \sin \phi d \rho d \phi d \theta\\\\ =\int_{0}^{\frac{\pi}{6}} d \theta \int_{0}^{\pi} \sin \phi d \int_{0}^{a} \rho^2 d \rho\\\\= [\theta]^{\frac{\pi}{6}}_{0} [-\cos \phi]^{\pi}_{0} [\frac{\rho^3}{3}]^{a}_{0}\\\\= \frac{\pi}{6} [1+1] \frac{a^3}{3}\\\\=\frac{\pi a^3}{9}[/tex]

Answer:

1. All heart attack patients that the cardiologist has cared for or will care for in the future ⇒ B. POPULATION (entire group of individuals from where the sample must be chosen)

2. The 32 heart attack patients who were observed by the cardiologist ⇒ D. SAMPLE (the group that was observed)

3. The average recovery time for all heart attack patients that the cardiologist has or will treat ⇒ A. PARAMETER (the mean of the whole population)

4. The average recovery time for the 32 heart attack patients ⇒ E. STATISTICS (the mean of the sample)

5. The recovery time for a heart attack patient ⇒ F. VARIABLE  (the data's attribute or value)

6. The list of all 32 heart attack patients' recovery times ⇒ C. DATA (information collected form the sample)

Answer:

= 117/58

Step-by-step explanation:

First of all 1*1 = 1 because a number multiplied by 1 is always itself. We then have to divide 1 by 58 is 0.017  and that +26 is equal to 26.017. Lastly, we have our answer 26.017 or if you wanted it as a fraction 26 1/58!

Answer:

Phrase:they are small groups standing together as a conceptual unit

Clause:it is a unit of grammatical organization next below the sentence in rank

Sentence: it is a set of words that is complete in itself

Answer:

2 and 10

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

Step 1:

72/80 = x /100         Proportion

Step 2:

80x = 7200        Multiply

Step 3:

x = 7200 ÷ 80       Divide

Answer:

90%

Hope This Helps :)

Answer:

Sharon bought a necklace with 90% blue beads.

Step-by-step explanation:

We are given that Sharon's necklace has 80 beads. We are also given that of those 80 beads, 72 of them are blue.

Therefore, we can set up a ratio of blue beads to total beads in order to find out the relationship.

[tex]\displaystyle \frac{72}{80}=\frac{36}{40}=\frac{18}{20}=\frac{9}{10}[/tex]

Then, using the fraction we receive as a result, we can convert this to a decimal.

[tex]\displaystyle \frac{9}{10} = 0.9[/tex]

After we complete this calculation, we can multiply our decimal by 100 in order to obtain the relationship in percentage form.

[tex]0.9 \times 100 = 90\%[/tex]

Of the 80 beads, 90% were blue beads.

Answer:

7 goals

Step-by-step explanation:

Jimmy scored 49 goals, and Tommy scored 7 times fewer than he did. We now know that an unknown number multiplied by 7 equals 49. This can be represented in an equation:

49/7 = x

x represents the amount of goals Tommy scored. Let's solve our equation to find the answer:

49/7 = 7

7 = x

Tommy scored 7 goals.

I hope this helps :)

Answer:

{-1, 0, 1, 2}

Step-by-step explanation:

Answer:%-0.175

Step-by-step explanation: subtract 17.5 percent - 35 percent

Answer:

x>9

Step-by-step explanation:

Remark

You have to watch this question when you divide by a minus. We should try to eliminate that possibility.

Equation

7 - 2/3 x < x - 8             Add 2/3 x to both sides

7 < x + 2/3 x - 8            Combine the like terms on the right.

7 < 1 2/3 x - 8                Add 8 to both sides

7 + 8 < 5/3 x                 Combine the left

15 < 5/3  x                    Multiply both sides by 3/5

15*3/5 < 5/3*3/5 x

9 < x

Since all the answers have the x on the left, we have to put this answer so that x is on the left. Be very careful. The big end of the arrow is towards the x. We have to make sure it stays that way.

x > 9

The answer is A

Answer:

Step-by-step explanation:

Answer: y= -2x + 4

Hope this helps.

Answer:360 ft and question 3 isn’t fully listed

Step-by-step explanation:it’s 100 yards and 10 in each end zone so 120x3=360

Answer:

0.015625

Step-by-step explanation:

Answer:

4^-3 or 0.016 or 1/64

Step-by-step explanation:

4^4 = 256

4^7 = 16,384

256 ÷ 16384 = 0.015625 = 0.016

Or when dividing exponents you subtract the exponent values

4 - 7 = -3

4^-3 = 1/64 = 0.015625

Step-by-step explanation:

you have to know how many inches make a foot or vice versa the you do simple proportion by equating the inches to the foot to get the answer. simple as abc