Please help with these two questions...
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Answer: [tex]1\dfrac13[/tex] cups of pineapple juice .

Step-by-step explanation:

Equation of direct proportion between x and y:

[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

As per given,

Let x = quantity of pineapple juice and y = quantity of orange juice.

[tex]x_1=\dfrac13\[/tex]  , [tex]y_1=\dfrac34[/tex] ,  [tex]y_2=3[/tex]

Put these values in an equation we get

[tex]\dfrac{\dfrac13}{\dfrac34}=\dfrac{x_2}{3}\\\\\Rightarrow\ \dfrac{4}{9}=\dfrac{x_2}{3}\\\\\Rightarrow\ x_2=3\times\dfrac{4}{9}=\dfrac{4}{3}\\\\\Rightarrow\ x_2=1\dfrac13[/tex]

Hence, he needs [tex]1\dfrac13[/tex] cups of pineapple juice .

Answer:

He needs 1 and 1/3 cups of pinapple juice when he uses 3 cups of orange juice.

Step-by-step explanation:

Orange Juice:

3 cups / 3/4 cups = 12/3= 4

Pineapple Juice:

1/3 × 4 = 4/3 cups= 1 1/3 cups

Answer:

1 pair of wings = 3/4 yard fabric

We know that 1 yard of fabric = $8

1 pair of wings = $8 x 3/4 = $6

Therefore total cost = $6 x 13 = $78

Step-by-step explanation:

Step 6 contains an error. Option C is correct

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

The incorrect step is;

[tex]\rm 1 + cos \theta = 2 sin^2\frac{\theta}{2}[/tex]

The correct step is;

[tex]\rm 1 - cos \theta = 2 sin^2\frac{\theta}{2}[/tex]

Because when you multiply the whole equation the cosΘ will be negative and in the given solution it is positive. Step 6 contains an error.

Hence, option C is correct

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Answer:

Step-by-step explanation:

[tex]Midpoint = \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\\\left(x_2,\:y_2\right)=\left(8,\:8\right)\\\\=\left(\frac{8+2}{2},\:\frac{8+0}{2}\right)\\\\=(\frac{10}{2} , \frac{8}{2} )\\\\Simplify\\\\(5,4)[/tex]

Answer:

(5,4)

Step-by-step explanation:

The division is one of the four fundamental arithmetic operations. The time it will take both of them together to paint the house is 6.857 hours.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Let the area that is needed to be painted be x.

Given that Walter can paint the house by himself in 12 hours. Therefore, we can write the rate at which Water paint is,

Rate = Area needed to be painted / Time

       = x / 12 hours

       = x/12

Further, given that Helen can paint the house by herself in 16 hours. Therefore, we can write the rate at which Helen paint is,

Rate = Area needed to be painted / Time

       = x / 16 hours

       = x/16

Now, the rate at which they both will paint or the area that they will cover in an hour is,

Rate = (x/12) + (x/16)

       = (4x/48) + (3x/48)

       = (4x + 3x)/48

       = 7x / 48

Furthermore, the time it will take both of them together to paint the house is,

Time = Area needed to be painted / Rate

        = x / (7x/48)

        = 48/7 hours

        = 6.857 hours

Hence, the time it will take both of them together to paint the house is 6.857 hours.

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Answer:

C

Step-by-step explanation:

Because they are all

Answer:

1

Step-by-step explanation:

And close your tabs we don’t want to see your stuff your watching

Answer:

A. 10:2, simplifies to 5:1

B. 2:6, simplifies to 1;3

C. 5 cars there are 3 trucks

D. Motorcycle

Step-by-step explanation:

Answer:

7.5 gallons

Step-by-step explanation:

divide 12 by 3 to get oz per minute. 4

do 60 × 4 to get total minutes 240

4×240=960

put 960 oz into gallons and get 7.5

Answer:

x=3

Step-by-step explanation:

-3x+12=x

12=x+3x

12=4x

x=12

4

x=3 hope it helpu

Answer:

19

Step-by-step explanation:

Adriana needs to send 232 invitations to her family and friends for her party.

There are 12 invitations in a box.

We need to find how many boxes will Adriana needs to order so that everyone receives an invitation. Let there are x boxes. It can be calculated as :

[tex]x=\dfrac{232}{12}\\\\x=19.34[/tex]

or

x = 19

So, she will need approx 19 boxes.

Answer:

4.6

Step-by-step explanation:

source; calculator .com

Answer:

0.528

Step-by-step explanation:

if you do the math youll get 0.528

Answer:

50(Option D)

Step-by-step explanation:

Trigonometry

Inverse trig for this

So we are given adjacent and opposite legs for this part. So tangent is used except because we are finding angle(tan^-1 is used) tan^-1 is not 1/tan

tan^-1(56/47)

We get 49.993744 and so on

So rounded to the nearest degree, that is 50.

Answer:

Step-by-step explanation:

1. M is the midpoint of CD; CM = 3x - 10; MD = 6x - 22;        GIVEN

2.  CM = MD                                                                       Definition of Midpoint

3.  3x - 10 = 6x - 22                                                            Substitution Property

4.  -3x - 10 = - 22                                                      Subtraction Prop of Equality

5.  -3x =-12                                                               Addition Prop of Equality

6.  x = 4                                                                    Division Prop of Equality

The missing reasons in the two-column proof are:

1. Given

2. Definition of a midpoint

3. Addition property of equality

To apply the addition property of equality, both sides of an equation is added with equal quantity to make it balanced.

In the two-column proof given, the missing reasons are:

1. Given (the information was stated already)

2. Definition of a midpoint (CM = MD)

3. Addition property of equality (10 was added to both sides of the equation).

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Answer:

[tex]y=-\frac{7}{2}x+8[/tex]

Step-by-step explanation:

Given the equation

[tex]y\:=\:\frac{2}{7}x+9[/tex]

comparing the equation with the slope-intercept form

[tex]y =mx+b[/tex]            

Here,

so the slope of the line is 2/7

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

the slope of the perpendicular line will be: -7/2

Therefore, the point-slope form of the equation of the perpendicular line that goes through (4,-6) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-6\right)=\frac{-7}{2}\left(x-4\right)[/tex]

[tex]y+6=\frac{-7}{2}\left(x-4\right)[/tex]

[tex]y+6-6=\frac{-7}{2}\left(x-4\right)-6[/tex]

[tex]y=-\frac{7}{2}x+8[/tex]

Answer:

y= -2/7x-7

Step-by-step explanation:

slope intercept form is just a fancy way of saying y=mx+b

x being your input, y your output, m your slope, and b your y intercept

you can use the slope to determine your equation will look something like: y=-2/7x+b. To find your y-intercept all you do is determine how much the point will increase or decrease so it is equal to (0, y). In this case it will increase by 14 on the x's (so x is equal to 0) and 14*-2/7. When you have determined your y-int and slope you can then plug them into the equation instead of the variables.

Answer:16

Step-by-step explanation:18- 3=16

Answer:

Let's identify what we know and what we are looking for. To start off, the question states that there is a flat rate of 500. This is the y intercept, because you start off with 500. It also states that it charges a fee of 50 per hour, which is your slope. So what we have now is y=50x+500. We know that A is asking how much it will be for 20 hours. We simply plug 20 into x, so we do y=50(20)+500 which gives 1500. For C, we repeat the same step and just plug in 50.

Answer:

zero point three two meter

Step-by-step explanation:

Given

[tex]Measurement = 0.32\ meter[/tex]

Required

How should it be pronounced

From the measurement above, we can see that it contains a decimal point.

Using the rules of decimal point,

The number before the decimal point will be treated as 1 number and will be pronounced as such.

While numbers after the decimal will be treated as individual digits and will be pronounced individually.

Hence, the pronunciation of 0.32 meter is zero point three two meter

Answer: zero and thirty two hundredths. Some strategies are ( expanded form , a place value chart , word form , fraction expanded form i hope this helped i did this today in my class!

Answer:

You are given two points, (0,6) and (3,-3), so use the two-point formula for the equation of a line:

y - y1 = ( (y2 - y1) / (x2 - x1) ) (x - x1)

y - 6 = ( -9 / 3 ) (x - 0)

y - 6 = -3x

y = -3x + 6 This is: y = mx+b

Step-by-step explanation:

hope this will help you..

The linear function with the values f(0) = 5 and f(-3) = 6 is [tex]y=\frac{-1}{3}x+5[/tex]

The given functions are:

f(0)  =  5

f(-3)  =  6

That is, x₁ = 0,  y₁ = 5, x₂ = -3, y₂ = 6

The slope of the linear function is calculated as:

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{6-5}{-3-0} \\\\m=\frac{-1}{3}[/tex]

The equation of a line is given as:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-5=\frac{-1}{3}(x-0)\\\\y-5= \frac{-1}{3}x\\\\y=\frac{-1}{3}x+5[/tex]

The linear function with the values f(0) = 5 and f(-3) = 6 is [tex]y=\frac{-1}{3}x+5[/tex]

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Answer:

-3.5 -3, -2 1/2, -2, 2.5

Step-by-step explanation:

Answer:

From least (top) to greatest (bottom):

-3.5--in between -4 and -3

-3--on the -3 line

-2 1/5--in between the -3 and the -2

-2--on the -2 line

2.5--in between 2 and 3

Answer:

-2

Step-by-step explanation:

its -2 cuz to find the slope the equation is the second y - the first y over the second x - the first x so -5 - 5 is 10 over 3 - -2 is 5 so it would be -10/5 which simplifies to -2

J times the product of 4 and 7:

J(4x7)

Answer:

28j

Step-by-step explanation:

4 times 7=28

28 times j= 28j

Answer:

16

Step-by-step explanation:

Y=2(5)+6

y=10+6

Y=16

Answer:

-5=x

Step-by-step explanation:

3=-2 (x+2)

-2 (x+2) = -2x-4

3=-2x-4

-4 from 3 and -4

= -7=-2x

do the opposite "-2 to +2 "

=-5=x

Answer:

125°

Step-by-step explanation:

So we know that the total height is 85.5 (building height plus Lucia's height) and that the distance between Lucia and the fountain is 122ft away. As seen in the badly drawn picture below, the question asks us to solve for x, we can do this by first solving for y by using tangent to calculate its value which is the following

tan(y) = opposite / adjacent

tan(y) = 122 / 85.5

tan(y) = 1.4269

y = [tex]tan^{-1}[/tex](1.4269)

y = 54.97

Now that we have the value of y and we know that a straight line has a degree of 180, we can simply subtract the degree of y from 180 to get the degree of x

180 - 54.97 = 125.03

Answer:

about 35°

Step-by-step explanation:

tan^-1(85.5/122)

35.02352736°

=35°

Answer:

4. 3

Step-by-step explanation:

If you multiply 2 by 3 it'll equal to 6. Same with 7 x 3= 21.

You could also subtract 7 from 2 equalling 5 and 21 - 6 equal to 15. Then you would but y over x giving you 15/5. 15 divided by 5 is 3. So both ways you get 3.

Hope that helps :)

8y-2=6

8y=8

y=1

The value of the y is 1.

Answer:

150 boys were enrolled in 2012

Step-by-step explanation:

Let the number of boys enrolled in 2012 be x

Let the number of girls enrolled in 2012 be x + 200

Ratio of boys to girls in 2012 enrollment = 3/7

Now;

3/7 = x/x + 200

7x = 3(x + 200)

7x = 3x + 600

7x - 3x = 600

4x = 600

x = 600/4

x = 150 boys

Hence, 150 boys were enrolled in 2012