Mica is making a paste for an art project. He mixes 8 cups of water with glue. If he wants to make a double batch how many quarts of water does he need?how much water is that in gallons?

[tex]-2x+5y +3=0~~~~~~.....(i)\\\\x-4y -12=0~~~~~~,,,,(ii)\\\\\\~~~~~~~~\dfrac{x}{5(-12)-3(-4)} = \dfrac{y}{3\cdot 1 -(-2)(-12)}=\dfrac{1}{(-2)(-4)-5\cdot 1} \\\\\\\implies \dfrac{x}{-60+12}= \dfrac{y}{3-24} = \dfrac1{8-5}\\\\\\\implies -\dfrac{x}{48}=-\dfrac y{21} = \dfrac 1{3}\\\\\\\implies x = -\dfrac{48}{3},~~~ y = -\dfrac{21}{3}\\\\\\\implies x = -16, ~~~~ y = -7[/tex]

A function assigns the values. The translation of the function f(x) when it is moved 2 units up is (5ˣ+2).

A function assigns the value of each element of one set to the other specific element of another set.

Given the function, f(x)=5ˣ. Now, if the function is needed to be translated by 2 units, then +2 is needed to be added to the overall value of f(x). Therefore, the function will become,

f(x) = 5ˣ

f(x) = 5ˣ + 2

Hence, the translation of the function f(x) when it is moved 2 units up is (5ˣ+2).

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Step-by-step explanation:

2.

an isometry means the distance between any two points in the original space is the same as the distance between them in the second space.

rotation and translation are such isometries. they leave the original shape or curve unchanged in its inner structure but move it around.

so, the shapes in this question are visibly an isometry. the size and structure of the pre-image is the same as for the image. only its position changed.

4.

(x, y) -> (x-3, y+5) means that every point of the shape or curve is moved (translated) 3 units to the left (the x coordinate is decreased) and 5 units up (the y coordinate is increased).

6.

(x, y) -> (x+7, y-2) -> (x-3, y+2)

this means that first every point of the shape or curve is moved (translated) 7 units to the right and 2 units down, and then 3 units to the left and 2 units up.

in the end this means that every point moved 4 units to the right (no up or down changes, as the intermediate changes canceled each other out).

Answer:

......

Step-by-step explanation:

[tex] 5x = 95[/tex]

[tex] \displaystyle{ \frac{5x}{5} = \frac{95}{5} }[/tex]

[tex]x = 19[/tex]

Answer:

19

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Divide 95 by 5

[tex]\frac{95}{5} = 19[/tex]

Now we know that x is 19, solve the whole problem optionally.

[tex]5 * 19 = 95[/tex]

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Answer:

Step-by-step explanation:

103.8 seconds

68.11024 inches

Answer:

0.101

Step-by-step explanation:

[tex]speed = \frac{distance}{time} [/tex]

We have speed, and we have distance. So let's rearrange to get time:

[tex]time = \frac{distance}{speed} [/tex]

Let's plug in our numbers (make sure to times distance by 1000 to convert to metres):

[tex]time = \frac{30425000}{3.0 \times {10}^{8} } [/tex]

Which leaves us with:

[tex]time = \frac{1217}{2 ^ {5} \cdot 3 \cdot 5 ^ {3}} \approx 0.101416667[/tex]

Answer:

Im pretty sure its 144 cm

Step-by-step explanation:

Answer:

45%

Step-by-step explanation:

216/480

216 ÷ 480

= 0.45

0.45 × 100

= 45%

Answer:

4

Step-by-step explanation:

callie and her 4 friends so you have to include callie which makes 5 people. 20/5 is 4 :)

Answer:

5 Each

Step-by-step explanation

There are 4 girls and they want to share so break the 20 in 5 4 times then u get 20 bck

Answer:

Domain: All real numbers

Range: y≤5

Step-by-step explanation:

Domain: All real numbers (it can be all x values)

Range: y≤5  (the y values can be 5 or less.)

Answer:

there are 144 students in total

The number of zeros of the given Polynomial which are α, β and γ are; A:3

We are given the Polynomial;

x³ - 8x² + 4x - 4 = 0

From online polynomial root calculator, to roots of the Polynomial are;

7.54, 0.23, 0.23.

α = 7.54

β = 0.23

γ = 0.23

Thus, we see that there are three roots of the Polynomial. although the latter 2 are imaginary roots.

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The factorization of the given expression, 3x² - 10x + 8, is expressed completely as: (x - 2)(3x - 4).

Given the expression, 3x² - 10x + 8, to factorize, follow the steps below:

Find two factors that will give you -10 when you add them and also give you 24 when you multiply them. Let's use -6 and -4.

3x² - 6x - 4x + 8

(3x² - 6x) - (4x + 8)

3x(x - 2) - 4(x - 2)

(x - 2)(3x - 4)

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Answer:

2 and 3

Step-by-step explanation:

solve the equation:-

[tex] - 7n + m[/tex]

[tex] m = - 1.2 \\ n = - 4.8[/tex]

Putting the value:-

[tex] - 7( - 4.8) + ( - 1.2) \\ - 33.6 - 1.2 \\ - 34.8[/tex]

Answer:

(6, 5)

Step-by-step explanation:

Coordinates are written in the form (x, y), where x is the x-axis value that the point is in, in this case 6, and where y is the y-axis value, in this case 5.

Answer:

the answer would be (6,5)

Answer: Circle

Solve for area

A≈86.66in²

C Circumference

Using the formulas

A=πr2

C=2πr

Solving forA

A=C2

4π=332

4·π≈86.65987in²

Step-by-step explanation:

There is no association in scatter plot of the annual tuition and parent rating of the 12 private schools

We can see that the points on the scatter plot are scattered, and they do not follow a specific pattern.

This means that there is no association in scatter plot

A point that would affect the appropriateness is a point that is relatively far from other data points i.e. an outlier

An example of this point is the point between x = 8000 and 10000 and y = 0 and 10

This school would have a high rating and a medium or not so high cost

From the scatter plot, an example of a school that has this feature have a tuition close to $6000 and rating close to 90

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Answer:

Your number written in expanded form is:

0.8

+ 0.01

+ 0.007

Answer:

0.8

+ 0.01

+ 0.007

Step-by-step explanation:

I think

Answer:

Step-by-step explanation:

Remark

These two angles are related by the supplement of corresponding angles. So they add to 180.

Equation

<1 + <2 = 180

2x + 4 + 8x - 14 = 180

Givens

<1 = 2x + 4

<2 = 8x - 14

Solution

<1 + <2 = 180                Substitute the givens into this equation

2x + 4 + 8x - 14 = 180  Combine like terms

2x + 8x + 4 - 14 = 180  

10x - 10 = 180               Add 10 to both sides

10x-10+10 = 180+10     Combine

10x = 190                      Divide by 10

10x/10 = 190/10

x = 19

Answer: x = 19

Applying the property of exponents, the simplest radical form of [tex]\frac{1}{x^{-\frac{3}{6} }}[/tex] is: [tex]\sqrt{x}[/tex].

The property of exponents that can be used to solve this problem are:

[tex]a^{-m} = \frac{1}{a^m} \\\\ a^{\frac{1}{2} } = \sqrt{a}[/tex]

Given the expression, [tex]\frac{1}{x^{-\frac{3}{6} }}[/tex], applying the property of exponents, we would simplify the expression as shown below:

[tex]\frac{1}{x^{-\frac{3}{6} }} = x^{\frac{3}{6} }[/tex]

Reduce the fraction

[tex]= x^{\frac{1}{2} }\\\\ = \sqrt{x}[/tex]

Therefore, [tex]\frac{1}{x^{-\frac{3}{6} }} = \sqrt{x}[/tex]

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Answer:

Around 31.4

Step-by-step explanation:

The circumference formula of a circle is C=2[tex]\pi[/tex]r. Plug the radius in which is 5. 5 times 2 is 10. 10 times pi would be around 31.4

Answer:

Your answer is B

y < x

y ≥ -x

Step-by-step explanation:

6.14 Checkpoint: Systems of Linear Inequalities

I took the test.

Answer:

B is correct because I too took the test.

6.14 Checkpoint: Systems of Linear Inequalities

Step-by-step explanation:

You're welcome.

Answer:

Kings and hearts

Step-by-step explanation:

Two events are said to be mutually exclusive if they cannot occur at the same time:

[tex]~~~~~2^{x+1} = 3^x\\\\\implies \ln \left(2^{x+1}\right) = \ln\left(3^x \right)\\\\\\\implies (x+1) \ln 2 = x \ln 3\\\\\\\implies \dfrac{x+1}x = \dfrac{\ln 3}{\ln 2}\\\\\\\implies 1+ \dfrac 1x = \dfrac{\ln 3}{\ln 2}\\\\\\\implies \dfrac 1x = \dfrac{\ln 3 }{ \ln 2}-1\\\\\\\implies \dfrac 1x = \dfrac{ \ln 3 - \ln 2}{\ln 2}\\\\\\\implies x = \dfrac{\ln 2}{\ln 3 - \ln 2}\\\\\\\implies x \approx 1.7095\\\\\\[/tex]