Find the GCF of 22ab2 c2 and 40a 3 c2.

4a3b2c2

2ab2c2

4ac2

2ac2

Answer:

There are 11 g of drink mix for every ounce of water.

Step-by-step explanation:

In order to calculate the unit rate in grams of drink mix for ounces of water of any type of drink, we need to divide the mass of drink mix in grams by the mass of water in ounces. In this case there are mixed fractions, we will first convert them to fractions, to do that we sum the fraction part with the integer one.

[tex]mix = 19 + \frac{1}{4}\\\\mix = \frac{77}{4}[/tex]

[tex]water = 1 + \frac{3}{4}\\\\water = \frac{7}{4}[/tex]

The rate is:

[tex]rate = \frac{mix}{water}\\\\rate = \frac{\frac{77}{4}}{\frac{7}{4}}\\\\rate = \frac{77}{7}\\\\rate = 11[/tex]

There are 11 g of drink mix for every ounce of water.

Answer:

There are 11 g of drink mix for every ounce of water.

Answer: 2) 0.275

Step-by-step explanation:

Total households = 160

Watch Cable TV: 109

Watch internet TV: 88

Watch neither: 7

We want to find the number that watch both of them.

Now, the total number of housholds that watch at least one thing is:

160 - 7 = 153.

Now, if we add the number that watch by cable and the number that watch by  internet we have:

109 + 88 = 197

The difference is:

197 - 153 = 44

This means that we have 44 households that watch both things.

This is because we are counting those 44 in the 109 for cable and also in the 88 for internet (because they watch both) and this is why we have a surpass.

Then the number that watch both things is 44, then the probability that a random household watched both things is equal to:

P = 44/160 = 0.275

The correct option is 2

Answer:

The length of the actual tractor is:

Step-by-step explanation:

Firstly, you must know the conversión between inches and feet:

Or

How the paragraph says that the scale is 1 to 64, it means by each unit in the scale, the unit in the actual tractor is 64 times bigger, so, you must multiply the measure of the model by 64 to obtain the actual length in inches:

The paragraph says the length must be in feet, so we must apply the conversion given above in a simple rule of three how I'll show below:

And we operate:

After we cancel the unit "inches:"

For this reason, we obtain the final value of 56 feet to the actual length of the tractor.  

Answer:1/y^20

Step-by-step explanation:

Answer:

The best phrase that describes a theorem in axiomatic system is :

A statement proven to be true using logic

Axiomatic system is a set of axiom  in which the axioms are derived from logic

hope this helps

Answer:

A statement proven to be true using logic

Axiomatic system is a set of axiom  in which the axioms are derived from logic

Answer:

Part A: D. [tex]y = (x + 1)(x+3)\\[/tex]

Part B: C. [tex]3x(x-3) = 0\\[/tex]

Step-by-step explanation:

For part A) we just have to plug in 0 for x and solve for y until we find the equation that says 3 is the value for y when x is 0. For purposes of speeding up the process the correct answer is D. I will show how to check for it now.

The equation: [tex]y = (x + 1)(x+3)[/tex]

Now plug in 0 for x.

[tex]y = (0 + 1)(0+3)\\[/tex]

Now solve.

y = (1)(3)

y = 3

This proves that this is the correct answer.

For part B) we just have to plug in the give values for x separately and check for each value of x that it equals 0. For the purpose of speeding up the process the correct answer is C. I will show how to check for it now.

The equation: [tex]3x(x-3) = 0[/tex]

Now plug in x for 0 and solve:

[tex]3* 0 (0-3) = 0\\[/tex]

[tex]0(-3) = 0\\[/tex]

[tex]0 =0\\[/tex]

This equation is true, now we check for the other value of x, 3.

[tex]3*3(3-3) = 0\\[/tex]

[tex]9(0) = 0\\[/tex]

[tex]0 =0\\[/tex]

This is also true so that means this is the correct answer.

Answer:

Step-by-step explanation:

It is a function, since each student gets only one score one final exam,]

Domain is each student,

the first to last

Range is the score each student got:

(however the scoring was made)

f(each student) is a function because each student, or each element of the domain corresponds to the score, one and only one element of the range.

Answer:

The domain of f is 'the students in Mr. Well's history class'

The range of f is 'the final exam scores'

f 'is' a function because each student, or each element of the 'domain', corresponds to 'one' element of the 'range'

Answer:

18 feet 3 inches

Step-by-step explanation:

4 feet 7 inches + 6 feet 11 inches + 6 feet 9 inches =

10 feet 18 inches + 6 feet 9 inches =

16 feet 27 inches =18 feet 3 inches

Answer: 9.25 Feet

Step-by-step explanation:

Step 1: Take all the feet add them together = 7Ft or 84 inches

Step 2: Now add all the inches together to = 27 inches

Step 3: Add 27 + 84 = 111

Step 4: Divide that by 12 cause 1 foot = 12 inches

Step 5: should equal 9.25 :)

Answer:

[tex]48cm^2[/tex]

Step-by-step explanation:

Use the area of rectangle formula.

[tex]A=lw[/tex]

[tex]A=12 \times 4[/tex]

[tex]A=48[/tex]

Answer:

Hi there, are you sure you didn't forget any parenthesis or signs? I can't find the right answer in the options, the one that would end up at -0.2 in the end I can edit my answer if you tell me some additional option or info about the expression I need to show on the number line

Step-by-step explanation:

which number line shows correctly -0.8 + 0.6?

well lets write it in words minus eight tenths plus six tenths\

so minus:

you go 0.8 units to the left from 0,

then plus:

you go 0.6 units right from -0.8, getting to -0.2

since there is no exact answer like that we can rearrange the addends 0.6-0.8, now:

we go from 0 6 tenths units to the right and get to 0.6, then we go from 0.6 eight tenths unit to the left to get to -0.2

The correct option is Option A: the number line goes from -1.6 to 1.6. An arrow goes from -0.8 to -0.2, and then backs from 0 to - 0.8.

The number line is a straight line that is infinitely extended on which integers are placed in a unit interval.

Here given that we have to find the number line which shows -0.8 + 0.6

By checking all the options

Option A: in this option arrow goes from -0.8 to -0.2. the distance covered will be -0.2-(-0.8)= -0.2+0.8= 0.6. Then arrow backward from 0 to -0.8. then the distance will be -0.8-0= -0.8. So total displacement will be -0.8+0.6.

Hence option A is correct.

Option B: in this option arrow goes from 0 to -0.8 then the distance will be -0.8-0= -0.8. Then the arrow goes from -0.8 to -1.4. then the distance will be= -1.4-(-0.8)= -1.4+0.8= -0.6. So total displacement will be -0.8-0.6.

Hence Option B is incorrect.

Option C: in this option arrow goes from 0 to 0.8 then the distance will be =0.8-0= 0.8 then the arrow goes from 0.8 to 1.4. Then the distance will be 1.4-0.8= 0.6. So the total displacement will be 0.8+0.6

Hence Option C is incorrect.

Option D: in this option arrow goes from -0.6 to 0.2 then the distance will be 0.2-(-0.6)= 0.8 then the arrow goes from 0 to -0.6 then the distance will be= -0.6-0= -0.6. Then the total distance will be -0.6+0.8

Hence Option D is incorrect.

Therefore the correct option is Option A.

Learn more about the number line

here: https://brainly.com/question/24644930

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Answer:

There are 320 mL in 2 cans

Step-by-step explanation:

Since one can holds 160 mL of orange juice, all we need to do is add them together since it is to cans to get 320 mL.

Answer:

There are 320 mL in 2 cans

Step-by-step explanation:

Since one can holds 160 mL of orange juice, all we need to do is add them together since it is to cans to get 320 mL.

i originally said 320ml but my answer was deleted.

Answer:

12 divided by 1/2 = 24

Step-by-step explanation:

____________________________________

Hey!!!

The formula to find circumference of circle

=2 pi r

For eg:

Radius=4 cm

Circumference of circle=2 pi r

=2 *pi*4

=8 pi

Hope it helps..

Good luck on your assignment

#Stay safe#

__________________________________

Answer:

Step-by-step explanation:

1. correspording: 2&5, 1&6, 3&8, 4&7

vertical: 2&4, 1&3, 5&7, 6&8

alt interior: 3&6 4&5

alt exterior:2&7 4&5

2. correspording: 1&5, 2&6, 3&7, 4&8

vertical: 2&4, 1&3, 5&7, 6&8

alt interior: 2&8 5&5

alt exterior:1&7 4&6

Answer:

[tex]r = 4[/tex]

Step-by-step explanation:

Given: Direct Variation

(0,0) ,(3,12),(9,36)​

Required

Constant of Variation

Provided that the given data is a direct variation, the constant variation is represented by r.

r is calculated as thus;

[tex]y = rx[/tex]

Divide both sides by x

[tex]r = \frac{y}{x}[/tex]

Point (0,0) is the center of origin and cannot be used

When x = 3, y = 12

and

[tex]r = \frac{12}{3}[/tex]

[tex]r = 4[/tex]

When x = 3, y = 12

and

[tex]r = \frac{36}{9}[/tex]

[tex]r = 4[/tex]

Notice that the value of r remain constant in both cases; Hence, the constant of variation is; [tex]r = 4[/tex]

Answer:

B.

Step-by-step explanation:

According to the graph the function is defined for all real number except -3 and 7 (where the two red dashed vertical lines cross the x-axis)

so our function should be :

[tex]\frac{1}{(x-(-3))(x-7)} =\frac{1}{(x+3)(x-7)}[/tex]

Answer:

w<0 or w>9

Step-by-step explanation:

2

w

+3>

29

w

3w+2

w

>

29

w

Let's find the critical points of the inequality.

3w+2

w

=

29

w

3w+2=29(Multiply both sides by w)

3w2+2w=29w(Multiply both sides by w)

3w2+2w−29w=29w−29w(Subtract 29w from both sides)

3w2−27w=0

3w(w−9)=0(Factor left side of equation)

3w=0 or w−9=0(Set factors equal to 0)

Answer:

Explanation:

2

w

+

3

>

29

w

First take LCM

2

+

3

w

>

29

w

Now you can remove the denominator(LCM) because it is on both sides.

So, we get

2 + 3w > 29

3w > 27

w>9

In this way, we get the answer.

Step-by-step explanation:

Answer:

D) The graph and the table

Step-by-step explanation:

The equation and the verbal description fully represent the situation because their representation is valid for all possible x values. On the other hand, the table and the graph only represent certain x values.

Answer:

The Graph And The Table

Step-by-step explanation:

Answer:

y=2x-3

Step-by-step explanation:

The slope intercept form is y=mx+b, where m is the slope and b is the y intercept.

y+7=-2(x-3)  in slope formula would be y=2x-3, which also means the slope would be m=-2

I hope this helps :)

the answer is D) A and E

The answer is  A and B

Answer:

a b

Step-by-step explanation:

Answer:

idk just did like 9 math problems :/

Step-by-step explanation:

ill come back in an hour

Answer:

-8a times 1/9

Step-by-step explanation:

This can be thought of as -8a/1 times 1/9. (1/9 is the reciprocal of 9, so were just pulling the fraction apart)

The expression is as fraction times the variable is (-8/9)a.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, the fraction is the division of the two numbers but the division is not wholly complete.

As per the given,-8a/9

The variable in the above fraction is a.

Thus, (-8/9)a will be the representation in terms of the product of constant and variable.

Hence "The expression is as fraction times the variable is (-8/9)a".

For more about fractions,

https://brainly.com/question/10354322

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Answer:

Option (B). Perimeter of the quadrilateral ABCD= 14.6 units

Step-by-step explanation:

From the figure attached,

Coordinates of the vertices are A(3, 5), B(1, 3), C(3, -1), D(5, 3).

Length of AB = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

                      = [tex]\sqrt{(3-1)^2+(5-3)^2}[/tex]

                      = [tex]\sqrt{8}[/tex]

                      = 2.83 units

Length of AD = [tex]\sqrt{(3-5)^2+(5-3)^2}[/tex]

                      = [tex]\sqrt{8}[/tex]

                      = 2.83 units

Length of BC = [tex]\sqrt{(1-3)^2+(3+1)^2}[/tex]

                      = [tex]\sqrt{20}[/tex]

                      = 4.47 units

Length of DC = [tex]\sqrt{(5-3)^2+(3+1)^2}[/tex]

                       = [tex]\sqrt{20}[/tex]

                       = 4.47 units

Perimeter of the quadrilateral = AB + AD + DC + BC

                                                 = 2.83 + 2.83 + 4.47 + 4.47

                                                = 14.6 units  

Option (B) is the answer.

Answer:

To get the function g, shift f up by 3 units and to the right by 9 units.

Step-by-step explanation:

The given functions are

[tex]f(x)=x^2[/tex]

[tex]g(x)=(x-9)^2+3[/tex]

If f(x) is a parent function, then g(x) can be written in the form of f(x) as

[tex]g(x)=f(x-9)+3[/tex]        ...(1)

The translation is defined as

[tex]g(x)=f(x+a)2+b[/tex]       ... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

[tex]a=-9,b=3[/tex]

It means, to get the function g, shift f up by 3 units and to the right by 9 units.

Answer:

To get the function g, shift f up by 3 units and to the right by 9 units.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

12 - (3+4)

12 - 7

12 - 7 = 5

5

Answer:

5

Step-by-step explanation:

12 - (3 + 4)

12 - 7

12 - 7 = 5

Answer:

C. [tex]\frac{3}{4} / \frac{1}{8}=6[/tex]

Step-by-step explanation:

This is the expression that is shown in the graph:

[tex]\frac{3}{4} / \frac{1}{8}[/tex]

We need to calculate the answer, so...

An easier way to divide a fraction by a fraction is to multiply one of the fractions with the reciprocal of the other fraction:

[tex]\frac{3}{4} *\frac{8}{1}[/tex]

8 divided by 1 is just 8 so you can simplify it:

[tex]\frac{3}{4}*8[/tex]

[tex]=\frac{8*3}{4}[/tex]

[tex]=\frac{24}{4}[/tex]

[tex]=6[/tex]