Hey I really need help with metric conversions test is tomorrow.

Answer:

There are 68 students in the class after these changes.

Step-by-step explanation:

g = number of girls

b = number of boys

Because the ratio of girls to boys is 3:1, initally the equation was  

g = 3b                

Finally, we have

g-1 girls because one girl dropped the class

b+3 boys because three more boys signed up

Because the new ratio of girls to boys is 5:2, the new equation is  

(g - 1)/(b + 3) = 5/2

Cross multiply.

2(g - 1) = 5(b + 3)

2g - 2 = 5b + 15

2g - 5b = 17          

Then, substitute g (which is 3b because the first equation was g = 3b)

2(3b) - 5b = 17

b = 17

g = 3b = 3*17 = 51

g = 51

The final number of students in the class = 17 + 51 = 68

Answer: 68

Newton's third law states that if object A exerts a force on object B, object B must respond with a force of equal size and in the opposite direction. This law reflects nature's symmetry: forces always exist in pairs, and one body cannot exert a force on another without experiencing one.

The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2. 3(10 + 2) = ? According to this property, you can add the numbers and then multiply by 3.

Answer:

Where is the question

Step-by-step explanation:

Where is the question

Answer:

$7.61 per pound

Step-by-step explanation:

41.85/5.5 = 7.61

Answer:

7.6090909090909

Step-by-step explanation:

41.85 divided by 5.5= this and that's a way to find your answer.

And for the answers there is 5 09's.

so like 7.609

09 09 09 09 09

so=7.6090909090909

Hope it helps have a great day:)

Answer:

⁰00000000⁰. woeidj.edj

Answer:

2

Step-by-step explanation:

| x | = 2

| x | is absolute value of x, which may be +ve, or, -ve as well.

x can be 2, or - 2.

But here, we are given with x > 0. It means x is greater than 0, it cannot be -ve.

So, x = + 2 = 2

Answer:

[tex]p=132cm^2[/tex]

Step-by-step explanation:

Given the following question:

Formula for perimeter:

[tex]2(s+b)[/tex]

We are given a base and a length for this parallelogram. So, to find the perimeter we simply have to substitute the values into the formula and solve.

[tex]2(s+b)[/tex]
[tex]2(34+32)[/tex]
[tex]34+32=66[/tex]
[tex]2(66)[/tex]
[tex]2(66)=2\times66=132[/tex]
[tex]p=132cm^2[/tex]

Hope this helps.

Answer:

so graph your first point. (x=2, y=1)

Step-by-step explanation:

Your 5/3 is your rise over run. So go up 5 from 2 you should be at 7 and over 3 from your 1  so your next point would be (x=7, y=4) now get a ruler and connect your two points. make sure to use a ruler to make your line straight.  

To graph a line with a slope of 5/3 and passes through the point (2, 1), we can use the slope-intercept form of a linear equation, which is given by:

y = mx + b

where:

- y and x are the coordinates of any point on the line

- m is the slope of the line

- b is the y-intercept (the point where the line crosses the y-axis)

Given the slope (m = 5/3) and the point (2, 1), we can substitute these values into the equation and solve for the y-intercept (b):

1 = (5/3)(2) + b

1 = 10/3 + b

To isolate b, we subtract 10/3 from both sides:

1 - 10/3 = b

-7/3 = b

Now we have the values of m and b, so we can write the equation of the line:

y = (5/3)x - 7/3

To graph the line, we plot the y-intercept at (0, -7/3), and then use the slope (5/3) to find additional points on the line.

Since the slope is positive, we can move up 5 units vertically and 3 units horizontally from the y-intercept to find another point. We repeat this process to find more points if needed.

Thus, using this, one can plot the graph.

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Answer:

B

Step-by-step explanation:

Hope this helps

Answer:

We can assume angles 102° and angles 0 and 42° are alternate interior angles.

So, to solve for 0, we must add this unknown angle to 42° and make it equal to 102°;

Let's make '0', x(our variable we solve for)

x + 42 = 102

-42         -42

x = 60

Answer:

First, we need to find how many books there are in each group;

If we look at group 1, they have 18 books.

If we look at group 4, they have 9 books. (We got this because they have 6 whole books, and they have half of a those 6 books which is 3 books in the other book symbol, so combined: 6 + 3 = 9)

18(group 1) - 9(group 4) = 9, group 1 read 9 more books.

Answer:

1. $56,000

2. $3,695

3. $1,644.48

Step-by-step explanation:

1. Equity = valuation - mortgage

              = $250,000 - $180,000

              = $70,000

80% = 80/100 = 0.8

Therefore, 80% of the equity = 0.8 × $70,000

                                                = $56,000

2. Total charges = jewelry charge + electronics charge

                            = $2,450 + $1,245

                            = $3,695

3.

First credit card:

Total payment = two years × monthly payments

                        = 2 × 12 × $252.04

                        = $6,048.96

Interest = total payment - balance

             = $6,048.96 - $5,000

            = $1,048.96

Second credit card:

Total payment = two years × monthly payments

                        = 2 × 12 × $381.72

                        = $9,161.28

Interest = total payment - balance

             = $9,161.28 - $7,500

             = $1,661.28

Home equity loan:

Total payment = two years × monthly payments

                        = 2 × 12 × $565.24

                        = $13,565.76

Interest = total payment - balance

             = $13,565.76 - $12,500

             = $1,065.76

Money saved = (total of interest from credit cards) - home equity loan interest

                      = ($1,048.96 + $1,661.28) - $1,065.76

                      = $1,644.48

Answer:

2

Step-by-step explanation:

Given that a=2 and b=3,

(3-2)×2

Hence,

1x2 = 2

Answer:

[tex]\huge\boxed{\text{(A)}\ 96 \textdegree}[/tex]

Step-by-step explanation:

A parallelogram has two pairs of identical angles.

The identical angles will be directly opposite from each other.

This means that:

Therefore, we can say that Angle A is 3x degrees and Angle B is x+52 degrees.

It's also important to note that all angles in a quadrilateral add up to 360°.

Since we know the measure of each angle, we can add up the expressions for each and find x.

[tex]3x + 3x + (x+52) + (x+52) = 360[/tex]

Let's simplify this equation.

Now that we know the value of x, let's use it to find the measure of Angle A.

We already proved earlier that Angle C is equivalent to Angle A. Since we know the expression for Angle C (3x) it'll be the same for angle A.

[tex]3(32)=96[/tex]

So A is 96°

Hope this helped!

Answer:

Step-by-step explanation:

96 degrees

Answer:

A 5/6 ÷ 1/12 = 10

Step-by-step explanation:

Let the full tank be represented with 'Y'

Feliz's car is 5/6 full

Whenever he drives To and From work he uses 1/12 of the full tank gas.

That is 1/12 of y

Since the tank was 5/6 full before his journey to and from work, the number of time he can use the gas will be

5/6 ÷ 1/12

5/6×12/1

= 10

Feliz can drive to or from work with his gas tank 10 times.

Answer:

x + 6xy + y

Step-by-step explanation:

Gather the like terms:

5x - 4x = x

-2xy + 8xy = 6xy

hence, we got x +6xy +y

Answer:

Step-by-step explanation:

Slope of perpendicular lines = -1

y = 5/2x + 3

[tex]m_{1}=\frac{5}{2}\\\\m_{1}*m_{2}=-1\\\\[/tex]

        [tex]m_{2}=[/tex] -1 ÷ [tex]m_{1}[/tex]

               = [tex]-1*\frac{2}{5}=\frac{-2}{5}[/tex]

(-3 , -5)

Equation of the required line: y - y₁ = m(x -x₁)

                                                y - [5] = [tex]\frac{-2}{5}(x - [-3])\\[/tex]

                                               [tex]y+5=\frac{-2}{5}x + 3*\frac{-2}{5}\\\\y+5=\frac{-2}{5}x-\frac{6}{5}\\\\ y =\frac{-2}{5}x-\frac{6}{5}-5\\\\ y = \frac{-2}{5}x-\frac{6}{5}-\frac{5*5}{1*5}\\\\ y = \frac{-2}{5}x-\frac{6}{5}-\frac{25}{5}\\\\\\ y=\frac{-2}{5}x-\frac{31}{5}[/tex]

Answer:

An Algebraic Expression that models the situation is [tex]4750+p-c-d+r[/tex]

Step-by-step explanation:

Beginning balance of Jennifer=$4750

Now she deposits a paycheck = p

So, New balance = 4750+p

Now she writes a check = c

Remaining balance = 4750+p-c

Now she writes a check = d

Remaining balance = 4750+p-c-d

Now refunded some money (r) for returning a pair of shoes she bought.

New balance = 4750+p-c-d+r

Hence  an Algebraic Expression that models the situation is [tex]4750+p-c-d+r[/tex]

Answer:

y = 5x +23

Step-by-step explanation

y = mx + b

the gradient ; m = 5 (given)

to find y=int, b, plug in the coordinate into y = mx + b;

3 = 5(-4) + b

3 = -20 + b

b = 23

so, we got y = 5x + 23

Answer:

p = 73°

Step-by-step explanation:

The sum of the interior angles of every triangle is always 180°

p = (180 - 34 - 73)° = (180 - 107)° = 73°

Hope this helps

Answer:

[tex](-3, 5)[/tex]

Step-by-step explanation:

Isolate x from the first equation:

[tex]x=\frac{11-4y}{3}[/tex]

Now, substitute it in  the second equation:

[tex]\begin{bmatrix}2\cdot \frac{11-4y}{3}+y=-1\end{bmatrix}[/tex]

This gives you:

[tex]\begin{bmatrix}\frac{22-5y}{3}=-1\end{bmatrix}[/tex]

So, you conclude: y = 5

Next, we substitute y = 5 into [tex]x=\frac{11-4y}{3}[/tex]

So, we get:

[tex]x=\frac{11-4\cdot \:5}{3}[/tex]

Then:

[tex]x=-3[/tex]

Finally, we have to put it into the coordinate form:

[tex](-3, 5)[/tex]

Answer:

(5x+1)(x+4)

Step-by-step explanation:

5*4 = 20

20*1 = 20 and 20+1 = 20

5x^2+20x+1x+4

5x(x+4)1(x+4)

5x+1)(x+4

This question was not written properly

Complete Question

A recipe for 12 waffles calls for 1 1/2 cups of milk, 2 1/4 cups of flour, and 1 1/3 cups of other ingredients.

Answer:

A 5 1/12 cups of ingredients

B 10 1/6 cups of ingredients

C The total amount of ingredients for 12 waffles would increase from the original recipe.

D 7.56 or 7 5/9 recipes

Step-by-step explanation:

A... What is the total number of cups of ingredients needed for 12 waffles?...

The total number of cups of ingredients needed =

1 1/2 cups of milk + 2 1/4 cups of flour + 1 1/3 cups of other ingredients

(1 + 2 + 1) + (1/2 + 1/4 +1/3)

4 + ( 6 + 3 + 4/12)

4 + (13/12)

4 + (1 1/12)

= 5 1/12 cups of ingredients

B... What is the total number of cups of ingredients needed for 36 waffles? ....

If 12 waffles requires = 5 1/12 cups of ingredients

36 waffles =

Cross Multiply

= (36 waffles × 5 1 /12)/12 waffles

= 10 1/6 cups of ingredients

C... If the milk is reduced to 1 cup and the amount of 'other ingredients' (not including the flour) is increased to 2 cups, would the total amount of ingredients for 12 waffles increase or decrease from the original recipe?

Justify your thinking...

Original recipe.

A recipe for 12 waffles calls for 1 1/2 cups of milk, 2 1/4 cups of flour, and 1 1/3 cups of other ingredients = total of 5 1/12 cups of ingredients

Current recipe

1 cup of milk + 2 1/4 cups of flour + 2 cups of other ingredients

1 + 2 + 2 + (1/4)

5 1/4 cups of ingredients

Therefore, total amount of ingredients for 12 waffles would increase from the original recipe. This is because when you subtract 5 1/12 from 5 1/4 you get a difference of 1/6 cups

5 1/4 - 5 1/12 = 1/6

D... If a baker has a 5 pound bag of flour, which is approximately 17 cups of flour, how many complete recipes for 12 waffles can the baker make?... Justify your thinking...

The original recipe has 2 1/4 cups of flour as its quantity for 12 waffles

Hence:

2 1/4 cups of flour = 12 waffles

17 cups =

17 × 12/2 1/4

= 204÷ 2 1/4

= 204 ÷ 9/4

= 204 × 4/9

= 90.666666667 or 90 2/3 Waffles

If = 12 waffles = 1 recipe

90 2/3 waffles =

7.56 or 7 5/9 recipes

Given

Total no. of waffles required = 12

No. of  cups of milk = [tex]1\frac{1}{2}[/tex]

No. of cups of flour  = [tex]2\frac{1}{4}[/tex]

No. of cups of other ingredients = [tex]1\frac{1}{3}[/tex]

The total number of cups of ingredients needed for 12 waffles =

No. of cups of milk + no. of cups of flour + no. of cup of other ingredients

= [tex]( 1+ 2+ 1 ) ( \frac{1}{2} + \frac{1}{4} + \frac{1}{3} )[/tex]

= [tex](4) + ( \frac{6+3+4}{12} )\\\\= (4) +(\frac{13}{12} \\\\= \frac{48+13}{12} \\\\= \frac{61}{12}[/tex]

The total number of cups of ingredients needed for 12 waffles is [tex]\frac{61}{12}[/tex].

=

= The total number of cups of ingredients needed for 36 waffles  cups of ingredients.

A recipe for 12 waffles calls for [tex]1\frac{1}{2}[/tex] cups of milk, [tex]2\frac{1}{4}[/tex] cups of flour, and  [tex]1\frac{1}{3}[/tex]cups of other ingredients = total of [tex]5\frac{1}{12}[/tex] cups of ingredients  

Current recipe

= 1 cup of 2 milk + cups of flour + 2 cups of other ingredients

= 1 + 2 + 2 + ()

= cups of ingredients

Therefore, total amount of ingredients for 12 waffles would increase from the original recipe. This is because when you subtract [tex]5\frac{1}{12}[/tex] from [tex]5\frac{1}{4}[/tex] you get a difference of [tex]\frac{1}{6}[/tex]  cups.

[tex]5\frac{1}{4}[/tex] - [tex]5\frac{1}{12}[/tex] = [tex]\frac{1}{6}[/tex]

The original recipe has [tex]2\frac{1}{4}[/tex] cups of flour as its quantity for 12 waffles

Hence:

[tex]2\frac{1}{4}[/tex]  cups of flour = 12 waffles

17 cups =

17 ×

= 204÷ [tex]2\frac{1}{4}[/tex]

= 204 ÷ [tex]\frac{9}{4}[/tex]

= 204 × [tex]\frac{4}{9}[/tex]

= 90.666666667 or 90  [tex]\frac{2}{3}[/tex] Waffles

If = 12 waffles = 1 recipe

90 waffles =

7.56 or recipes.

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A coffee's temperature changed by -54°F in =

[tex] = 22\frac{1}{2} \: minutes[/tex]

The temperature change in the coffee each minute :-

[tex] = - 54 \div 22\frac{1}{2} [/tex]

[tex] = - 54 \div \frac{(2 \times 22 + 1)}{2} [/tex]

[tex] = - 54 \div \frac{45}{2} [/tex]

[tex] = - 54 \times \frac{2}{45} [/tex]

[tex] = \frac{ (- 54 \times 2)}{ \: \: 45} [/tex]

[tex] = \frac{ - 108}{ \: \: \: 45} [/tex]

[tex]\color{magenta} = - 2.4°F[/tex]

Therefore , the temperature change in the coffee each minute was = -2.4°F .

Answer:

x/8

Step-by-step explanation:

how I see the problem I just put the 1 over the 8 because you can't really do anything else with the problem

The inverse f'^{-1}x of the given function is x/8

Given the function y = 8x, we are to find the inverse of the function.

Replace y with x

x = 8y

Make y the subject of the formula

x = 8y

Divide both sides by 8\

x/8 = 8y/8

x/8 = y

Swap sides

y = x/8

Hence the inverse f'^{-1}x of the given function is x/8

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Answer:

y=8(-5)

Step-by-step explanation:

Im not so sure :/

Answer:

w=67°

Step-by-step explanation:

First you solve for x. 12x+11=x. X would be 1. Then you plug in 1 for x and add the w to the equation. 12(1)+11+w=90. after solving that you will get the total for w. which should be 67°

Answer:

Step-by-step explanation:

We observe on the picture that:

Therefore

The expression 2/3a -7+7/18a-5 1/6 is an illustration of fractions

The simplified expression of 2/3a -7+7/18a-5 1/6 is 19/18a  -73/6

The expression is given as:

2/3a -7+7/18a-5 1/6.

Collect like terms

2/3a -7+7/18a-5 1/6 = 2/3a + 7/18a-7-5 1/6.

Express mixed fractions as improper fractions

2/3a -7+7/18a-5 1/6 = 2/3a + 7/18a - 7 - 31/6.

Evaluate the sum and difference

2/3a -7+7/18a-5 1/6 = 19/18a  -73/6

Hence, the simplified expression of 2/3a -7+7/18a-5 1/6 is 19/18a  -73/6

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Answer:

T

Step-by-step explanation:

the sender conveys an idea or concept, seeks information, or expresses a thought or emotion, and the receiver gets that message.

Answer:

The answer is q and r

Step-by-step explanation:

The lines that are parallel are p and r.

Option A is the correct answer.

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

From the figure,

There are four lines p, q, r, and s.

Now,

The lines p and r are parallel.

Thus,

p and r lines are parallel.

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