Lyle creates a peach dye by mixing 8 ounces of white dye with 5 ounces of orange dye. He wants to know how much orange dye he needs to use if he needs a total of 195 ounces of peach dye.

Answer:

Step-by-step explanation:

The rate of change can be found by using the difference quotient formula and in this case it would be -0.5

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

The gneral rate of change can be found by using the difference quitieont formula. To find the average rate of change over an interval, enter a function with an interval: f (x)= x^{2},(2, 3) -2

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HOPE THIS HELPS

Answer: <

Step-by-step explanation:

Answer:

The angle B = 70°

Step-by-step explanation:

The sum of angles of a triangle is 180°

=> 40°+(2x-30)°+(x+20)° = 180°

=> 40°+2x°-30°+x°+20° = 180°

=> 30°+3x= 180°

=> 3x = 180°-30°

=> 3x = 150°

=> x = 150/3

=> x = 50°

So,the value of x = 50°

now , angle B = (2x-30) = (2×50 -30 ) = (100-30) = 70°

Answer:

(a) 0 (b) 1^2

Step-by-step explanation:

photo number 1 is answer for question 2(a)

photo number 2 is answer for question 2(b)

Step-by-step explanation:

can you tell me what you don't understand about this ?

because it is really simple, once you understand the transformations of equations.

remember, whatever we do to one side. we have to do also to the other side, so that the information in general stays the same.

(7 - 3x)/2 = 8 multiply both sides by 2

7 - 3x = 16 subtract 7 from both sides

-3x = 9 divide both sides by 3

-x = 3 multiply both sides by -1

x = -3

and that's the whole "secret" about solving an equation.

Answer:

Step-by-step explanation:

In the question we are given with an equation that is ( 7 - 3x ) / 2 = 8 . And we have asked to find the value of x .

Solution : -

[tex] \longrightarrow \qquad \: \dfrac{7 - 3x}{2} = 8[/tex]

Step 1 : Multiplying both sides by 2 :

[tex] \longrightarrow \qquad \: \dfrac{7 - 3x}{ \cancel{2} }\times \cancel{2 }= 8 \times 2 [/tex]

On further calculations, We get :

[tex] \longrightarrow \qquad \: 7 - 3x = 16[/tex]

Step 2 : Subtracting with 7 on both sides :

[tex] \longrightarrow \qquad \: \cancel{ 7 }- 3x - \cancel{ 7 }= 16 - 7[/tex]

On calculating further, We get :

[tex] \longrightarrow \qquad \: - 3x = 9[/tex]

Step 3 : Dividing with -3 on both sides :

[tex] \longrightarrow \qquad \: \dfrac{ \cancel{ - 3}x}{ \cancel{-3}} = \cancel{\dfrac{9}{ - 3} }[/tex]

On calculating further, We get :

[tex] \longrightarrow \qquad \: \red{\underline{\boxed{\frak{x = - 3}}}}[/tex]

Verifying : -

Now , we are verifying our answer by substituting value of x in given equation . So ,

Therefore , our answer is valid .

Answer:

C

Step-by-step explanation:

[tex]24a-22 = -4(1-6a)\\\\\implies 24a-22 = -4+24a\\\\\implies -22 = -4\\\\\text{Which is not true, so no solutions exist.}[/tex]

Let's recall that, the potential difference between any two points X(x,y,z) and Y(a,b,c) is given by ;

So, here ;

[tex]{:\implies \quad \sf \overrightarrow{E}=3x\hat{i}-2y\hat{j}+5z\hat{k}}[/tex]

So, now our second component of the Integrand will just be ;

[tex]{:\implies \quad \sf \overrightarrow{dr}=dx\hat{i}+dy\hat{j}+dz\hat{k}}[/tex]

So, now the whole integrand will just be ;

[tex]{:\implies \quad \sf \overrightarrow{E}\cdot \overrightarrow{dr}=(3x\hat{i}-2y\hat{j}+5z\hat{k})(dx\hat{i}+dy\hat{j}+dz\hat{k})}[/tex]

[tex]{:\implies \quad \sf \overrightarrow{E}\cdot \overrightarrow{dr}=3xdx-2ydy+5zdz}[/tex]

Now, Let's move to the final answer ;

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\int_{X}^{Y}3xdx-2ydy+5zdz}[/tex]

As,X is the point (1,3,5) and Y being (3,2,7) , so seperate the integral into three integrals with limits as follows respectively;

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\bigg(\int_{1}^{3}3xdx-\int_{3}^{2}ydy+\int_{5}^{7}zdz\bigg)}[/tex]

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\bigg(3\int_{1}^{3}xdx-2\int_{3}^{2}ydy+5\int_{5}^{7}zdz\bigg)}[/tex]

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\bigg\{3\bigg(\dfrac{x^2}{2}\bigg)\bigg|_{1}^{3}-2\bigg(\dfrac{y^2}{2}\bigg)\bigg|_{3}^{2}+5\bigg(\dfrac{z^2}{2}\bigg)\bigg|_{5}^{7}\bigg\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\bigg\{2\bigg(\dfrac{9}{2}-\dfrac12\bigg)-2\bigg(\dfrac{4}{2}-\dfrac92\bigg)+5\bigg(\dfrac{49}{2}-\dfrac{25}{2}\bigg)\bigg\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\{3(4)-(-5)+5(12)\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\{12+5+60\}}[/tex]

[tex]{:\implies \quad \displaystyle \boxed{\bf{V_{Y}-V_{X}=-77\:\: Volt}}}[/tex]

Hence, this is the required answer

Answer:145

Step-by-step explanation:

if h=33 and g=5 the expression would look like 33-4x5 frist 33-4=29 so now we imes by 5, 29x5=145 so 145 is your answer

[tex](8-15i) +(11+24i) = 19+9i\\\\(8-15i)-(11+24i)=-3-39i=-3(1+13i)[/tex]

The maximum probability that both event A and event B will occur is 18%.

From the information, Event A has a 90% chance of occurring. Event B has a 20% chance of occurring. Therefore, the maximum probability will be:

= 90% × 20%

= 18%

The minimum probability that both event A and event B will occur will be:

= (90% + 20%) - 1

= 1.10 - 1

= 10%

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Answer:

the measure of 3 is 80 because its l is parlell to r so 80 will be vertical with 3

Step-by-step explanation:

Answer:

2 2/3 foot

Step-by-step explanation:

3x=8

x=8÷3

=2 2/3 foot

Area = length x height:

Area = 7 x 11 = 77 square feet.

divide area of wall by area per can:

77/20 = 3.85 cans

they will need to buy 4 cans

Answer:

B.The answer is incorrect; the plus sign should be a minus sign.

Step-by-step explanation:

[tex]x^2-18x+81\\\\=x^2-2\cdot 9x +9^2\\\\=(x-9)^2\\\\=(x-9)(x-9)[/tex]

Answer:

b. is the equation and 18 is the answer.

Step-by-step explanation:

the 9 plus b has to equal the 27

18 is the value of b.

Divide number that like hockey by population then multiply by 100:

14,000 / 117,000 = 0.11965

0.11965 x 100 = 11.965%

Round up to 12%

Answer: area of the circle is [tex]3.14ft^{2}[/tex]

Step-by-step explanation:

1. the equation to find the area of a circle is [tex]\pi r^{2}[/tex]

2. the diameter is equal to 2r, meaning to get the radius, divide the diameter by 2.     [tex]\frac{2}{2} =1[/tex]

3. plug in the the radius into the equation. [tex]3.14*1^{2} =3.14ft^{2}[/tex]

hope this helped! ♡

Answer: 1)3.26.3

2)326.15

3)325.39

4)326.48

Step-by-step explanation: you want to start from the lowest number to get your answer

Answer:

1.4.5m/s^2

2.6.25m/s^2

3.15m/s^2

4.0.05m/s^2

Step-by-step explanation:

a=v-u

----

t

27-0

------ = 27/6

6

=4.5m/s^2

u=4.5m/s

v=24.5m/s

t=3.2s

(24.5-4.5)÷3.2

=20/3.2

=6.25m/s^2

v=80m/s

u=50m/s

t=2s

(80-50)÷2

15m/s^2

v=0.80m/s

u=0.50m/s

t=6s

(0.80-0.50)÷6

=0.05m/s^2

Answer:

500,000,010

Step-by-step explanation:

The 10 would be added to the last 2 digits (00) of the number. Therefore, the last 2 digits (00) plus 10 would be 10. The remainder of the number would remain the same, making the answer: 500,000,010

Answer:

2816

Step-by-step explanation:

Cm to m is divide by 100

10 / 100 = 0.1.

0.1 x 8 = 0.8

40 x 88 = 3520

3520 / 0.8 = 2816

Answer:

just remove the bracket and write normally so it's 23x+4-5b

Step-by-step explanation:

if you meant something else then let me know

Answer:

B. (-3, 10)

Step-by-step explanation:

     I am going to graph the given equation. I then will see which of the points given are within the required area.

-> See attached.

-> I have explained in the image more in-depth as well.

Answer:

Volume

Step-by-step explanation:

Length times width times height, is volume and the formula of finding what is inside something.

Volume :- it's the amount of the mass a body can hold

Step-by-step explanation:

each pack 15 pencil

n* 15= 15n

let's recall that d = rt, distance = rate * time.

a = speed of the airplane in still air.

w = speed of the wind

the distance travelled with the wind is 960 miles, so the return trip is pretty much just that, 960 miles.

when the airplane is going with with wind, the airplane is really not going as fast as "a" mph, is really going faster due to the wind, so the speed of the plane is "a + w", because the wind is adding its speed to it.

when the airplane is going against the wind is not really going "a" mph fast either, is really going slower at "a - w" mph, because the wind is subtracting speed from it, so

[tex]\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{with the wind}&960&a+w&5\\ \textit{against the wind}&960&a-w&6 \end{array}~\hfill \begin{cases} 960=(a+w)(5)\\\\ 960=(a-w)(6) \end{cases} \\\\\\ \stackrel{\textit{using the 1st equation}}{960=(a+w)(5)}\implies \cfrac{960}{5}= a + w\implies 192=a+w\implies \boxed{192-w=a}[/tex]

[tex]\stackrel{\textit{substituting on the 2nd equation}}{960=(\underline{192-w}~~ - ~~w)(6)}\implies \cfrac{960}{6}=192-w-w\implies 160=192-2w \\\\\\ 2w+160=192\implies 2w=32\implies w=\cfrac{32}{2}\implies \blacktriangleright w=16 \blacktriangleleft ~\hfill \blacktriangleright \stackrel{192 - 16}{176=a} \blacktriangleleft[/tex]

Answer:

6 = 6/10

Step-by-step explanation:

.6 = 6/10 , by definition. = 3/5 (reduced -- divide numerator and denominator by 2.

Answer:

[tex]\dfrac{60}{100}[/tex]

Step-by-step explanation:

Six tenths:

[tex]\dfrac{6}{10}[/tex]

where 6 is the numerator and 10 is the denominator

We want the denominator to be 100, so how do we convert 10 into 100?

We multiply by 10, since 10 x 10 = 100

When working out equivalent fractions, we must remember to do the same operation to both the numerator and denominator.  Therefore, we should multiply both by 10:

[tex]\dfrac{6 \times 10}{10 \times 10}=\dfrac{60}{100}[/tex]

Therefore, the fraction that is equivalent to six tenths and has a denominator of 100 is:

[tex]\dfrac{60}{100}[/tex]

(sixty hundredths)

Check the picture below.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{front and back}}{2(5\cdot 3)}~~ + ~~\stackrel{\textit{left and right}}{2(3\cdot 4)}~~ + ~~\stackrel{\textit{top and bottom}}{2(5\cdot 4)}}\implies 30+24+40\implies 94[/tex]

The area of the entire surface of the solid given is 94 units².

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given a rectangular prism.

It consists of 3 pairs of identical rectangular sides.

Area of a rectangle = length × width

Find the area of each rectangular sides to find the total area.

Total area = (5 × 3) + (5 × 3) + (5 × 4) + (5 × 4) + (4 × 3) + (4 × 3)

                 = 15 + 15 + 20 + 20 + 12 + 12

                 = 94 units²

Hence the area of the prism given is 94 units².

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