Decide whether the two equations are equivalent.

4n + 1= n-8

3n = -9
​

Answer:

The answer is B. 5/8 quarts

Step-by-step explanation:

1 ounce is equal to .03125 quarts so to find the amount of quarts, you multiply 20 times .03125 to get .625 or 5/8.

Final answer:

There are 5/8 quarts of soda in a 20 ounce bottle, which is found by dividing 20 by the conversion factor of 32 ounces per quart.

Explanation:

The student has asked how many quarts of soda are in a 20 ounce bottle. To convert ounces to quarts, we use the conversion factor that there are 32 ounces in a quart. To find the number of quarts in 20 ounces, we divide 20 by 32.

20 oz ÷ 32 oz/qt = 0.625 qt

This can also be written as 5/8 quarts, which is option B. Therefore, there are 5/8 quarts of soda in a 20 ounce bottle.

Answer:

Step-by-step explanation:

What are the coordinates????

Answer:

X=13

Step-by-step explanation:

15x-15= 180

15x-15+15=180+15

15x/15=195/15

X=13

Now just plug X in to every equation

(Q) 4(13)-22= 30

(P) 10(13)-4= 126

(R) 1(13)+11=24

Answer:

Lenghts of the sides: [tex]26\ cm[/tex]

Lenghts of the diagonals: [tex]48\ cm[/tex] and [tex]20\ cm[/tex]

Step-by-step explanation:

Look at the rhombus ABCD shown attached, where AC and BD de diagonals of the rhombus.

The sides of a rhombus have equal lenght. Then, since the perimeter of this one is 104 centimeters, you can find the lenght of each side as following:

[tex]AB=BC=CD=DA=\frac{104\ cm}{4}= 26\ cm[/tex]

You know that the diagonals are in the ratio [tex]5:12[/tex]

Then, let the diagonal AC be:

[tex]AC=12x[/tex]

This means that AE is:

[tex]AE=\frac{12x}{2}=6x[/tex]

And let the diagonal BD be:

[tex]BD=5x[/tex]

So BE is:

[tex]BE=\frac{5x}{2}=2.5x[/tex]

Since the diagonals of a rhombus are perpendicular to each other, four right triangles are formed, so you can use the Pythagorean Theorem:

[tex]a^2=b^2+c^2[/tex]

Where "a" is the hypotenuse and "b" and "c" are the legs.

In this case, you can choose the triangle ABE. Then:

[tex]a=AB=26\\b=AE=6x\\c=BE=2.5x[/tex]

Substituting values and solving for "x", you get:

[tex]26^2=(6x)^2+(2.5x)^2\\\\676=36x^2+6.25x^2\\\\\sqrt{\frac{676}{42.25}}=x\\\\x=4[/tex]

Therefore, the lenghts of the diagonals are:

[tex]AC=12(4)\ cm=48\ cm[/tex]

[tex]BD=5(4)\ cm=20\ cm[/tex]

Answer:

B. A withdrawal is an amount of money you take out of the bank.

Answer:

b=-1

Step-by-step explanation:

1=(6/-15)(-5)+b

-6/15=-2/5

(-2/5)(-5)=10/5=2

2+b=1

b=1-2=-1

Answer:C

Step-by-step explanation:

The required rational function is F(x) = x-5/3x. Option C is correct.

From the options correct rational function is  to be determined.

A rational number is defined as the number written in the form of the f ratio.

Here,
The property of rational function is it contains function on both numerator and denominator.
By looking to the property, only function F(x) = x-5/3x seems to rational functions.

Thus, the required rational bis F(x) = x-5/3x.

Learn more about rational numbers here
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Answer:

2.25

Step-by-step explanation:

5*.45=2.25

Answer: Choice B) (2,0)

======================================

Set the first piece equal to zero and solve for x

x^2 - 4 = 0

x^2 = 4

x = sqrt(4) or x = -sqrt(4)

x = 2 or x = -2

Keep in mind that the first piece y = x^2-4 is only graphed when x = 2 or larger, so we ignore x = -2. This is one x intercept, but there may be more. Let's check the other graph to see what we get.

----------

Set the second piece equal to zero and solve for x

x-2 = 0

x-2+2 = 0+2

x = 2

We get the same result as above in the prior section. Because of this, the two pieces connect at this junction point.

The x intercept x = 2 leads to the location (2,0). The x intercept always occurs when y = 0.

The graph below shows this.

side note: the red piece y = x^2 - 4 looks linear, but it's actually not a straight line. It's just a really stretched out curve.

<X = 48 degrees, <Y = 8X-3, W = 18X+5

Since it's a triangle we know that it equals 180 degrees.

So take 8X-3+18X+5+48=180

Add your like terms together which makes, 26X+50=180

Now you're going to subtract 50 from 180 which leaves you with 26X=130

Now divide your sums which leaves you X which = 5

You should be able to plug X back into your equation to find <Z. Hope this helps.

Answer:

(3x + 5) and (x - 6).

Step-by-step explanation:

3x^2-13x-30

Use the 'ac' method:

a * c = 3*-30 = -90.

We need two numbers whose product is -90 and whose  sum is -13. They are  -18  and + 5, so we have

3x^2 - 18x + 5x - 30     Factor by grouping:

= 3x(x - 6) + 5(x - 6)

= (3x + 5)(x - 6).

Answer:

A (3x + 5) and (x - 6

Step-by-step explanation:

Answer:

The temperature outside is  75.6°F

Step-by-step explanation:

We are given the following in the question:

The temperature of dry ice = - 109.3°F

Let x be the temperature outside in Fahrenheit.

It is given that the temperature of dry ice  is 184.9°F less than  the outside temperature.

Thus, we can write the equation:

[tex]x - 184.9 = -109.3[/tex]

Solving, the above equation, we get:

[tex]x - 184.9 = -109.3\\x = -109.3 + 184.9\\x = 75.6[/tex]

Thus, the temperature outside is  75.6°F

Answer: [tex]g(-3)=-28[/tex]

Step-by-step explanation:

For this exercise it is important to remember the multiplication of signs:

[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(-)(+)=-[/tex]

You have the following function g(x) provided in the exercise:

[tex]g(x) = 2x - 22[/tex]

The problem asks to find the value of [tex]g(-3)[/tex]. In order to find it, you need to substitute [tex]x=-3[/tex] into the function g(x):

[tex]g(-3) = 2(-3) - 22[/tex]

The final step is to evaluate.

Applying this procedure, you get that the value of [tex]g(-3)[/tex] is:

[tex]g(-3) = -6 - 22\\\\g(-3)=-28[/tex]

Answer:

f light is imagined as a flow of particles, the particles are called photons with each photon carrying a discrete packet of energy.

Answer:

Step-by-step explanation:

Solved by elim: it is similar (diff size, but not congruent, same size) and B is twice the size of A, not half.

Answer:

The solution of the equation are x = - 1 , y = 0 and z = 3

Step-by-step explanation:

Given three linear equation as :

6 x - y + z = - 3        ......A

4 x - 3 z = - 13           ......B

2 y + 5 z = 15            ......C

Solving eq A and C

I.e 2× (6 x - y + z ) = -3 ×2

or, 12 x - 2 y + 2 z = - 6

So, ( 12 x - 2 y + 2 z ) + ( 2 y + 5 z) = - 6 + 15

Or,  12 x + 7 z = 9         ......D

Solving eq B and D

I.e 3 × ( 4 x - 3 z ) = - 13 × 3

or, 12 x - 9 z = - 39

So, (   12 x + 7 z ) - ( 12 x - 9 z ) = 9 + 39

or,  16 z = 48

∴   z = [tex]\frac{48}{16}[/tex]

i.e  z = 3

put the value of z in eq D

So, 12 x + 7×3 = 9  

Or, 12 x = 9 - 21

or,  12 x = - 12

∴   x = -  [tex]\frac{12}{12}[/tex]

I.e  x = - 1

Now, Put The value of z in eq C

or, 2 y + 5 z = 15    

or,  2 y + 5 × 3 = 15

Or,  2 y = 15 - 15

or,  2 y = 0  

∴  y = 0

Hence The solution of the equation are x = - 1 , y = 0 and z = 3  Answer

Answer:

11.x>50

12.y is greater than or equal to 8

15. z<8

Step-by-step explanation:

Answer: 78m^2

Step-by-step explanation:

multiply coefficients and variables

m13 x m6 = 78m^2

Answer:

78m

Step-by-step explanation:

Since the variables are alike, you would just multiply them as you would do a normal multiplication problem! I used to have so much trouble with this omg. Anyway, 13x6=78 so the answer would be 78m

Answer:

Domain: All Real Numbers

Range: All Integers

Step-by-step explanation:

Integers are numbers positive and negative and 0 but cannot be partial numbers. Partial numbers are decimal or fractional numbers when most simplified.

Real numbers are positive and negative and 0 and can be partials, decimal numbers, fractions, radicals, anything considered a number.

The domain is all real numbers. Since the graph has lines that show between the grid lines, decimal numbers are included.

The range is all integers because there are only number on the grid lines. Real numbers would include all of the decimal numbers that not in the white spaces.

Answer:

the bottom right

Step-by-step explanation:

range cannot be all real numbers because they have to be integers(for example, 3/4 is a real number but it is not an integer)as the lines are on integer numbers. But the domain can be all real numbers because the lines go through all real numbers

Answer:

16

Step-by-step explanation:

A student memorized the statement the product of any rational number and an irrational number is irrational holds true for non-zero rational number

Solution:

A rational number is a number that can be written as a fraction.

When a rational number fraction is divided to form a decimal value,

it becomes a terminating or repeating decimal.

An Irrational Number is a real number that cannot be written as a simple fraction. It cannot be expressed as a fraction with integer values in the numerator and denominator.

When an irrational number is expressed in decimal form, it goes on forever without repeating.

"The product of a rational number and an irrational number is SOMETIMES irrational."

If you multiply any irrational number by the rational number zero, the result will be zero, which is rational.

Any other situation, however, of a product of rational and irrational will be irrational.

A better statement would be:

"The product of a non-zero rational number and an irrational number is irrational."

Let us understand this with a example

[tex]\text { non - zero rational number } \times \text { irrational number }=\text { irrational number }[/tex]

Consider [tex]\frac{1}{2} \rightarrow rational number[/tex]

[tex]\frac{\sqrt{3}}{4} \rightarrow irrational number[/tex]

Now multiply both,

[tex]\frac{1}{2} \times \frac{\sqrt{3}}{2}=\frac{\sqrt{3}}{4}=0.433012701[/tex]

We got 0.433012701 which is a irrational number because in decimal form, it goes on forever without repeating.

Thus we can frame two statements:

Answer:

Step-by-step explanation:

"The product of any rational number and an irrational number is irrational"

To know if the statement is true or false, we can test an example. Lets use the rational number [tex]\frac{3}{2}[/tex] and the irrational number [tex]\pi[/tex]. Id we calculate the product of these two we would have:

[tex]\frac{3}{2}\pi= 4.71238898038469...[/tex]

As you can observe, the product is an irrational number, because it's infinite and not periodic, it doesn't have any pattern.

Therefore, the statement is true.

Answer:

4/7= 12/21- mutiply the fraction by 3

(4)(3)/(7/(3)= 12/21

4/7= 16/28 - mutiply by 4

4/7= 20/35- mutiply by 5

Equivalent ratios are those that when reduced yield the same value. Any ratios that when reduced become 4/7 are equivalent to the ratio 4 to 7. An example is 8 to 14.

In mathematics, two ratios are equivalent if the fractions they represent are equal. For your question, you are asked to find all ratios that are equivalent to the ratio 4 to 7. Essentially, you need to find ratios where when reduced will become 4/7 or we can upscale the values while maintaining proportions. For instance, if we multiply both numbers in the ratio 4 to 7 by 2, we get the ratio 8 to 14. These two ratios are equivalent because 4/7 = 8/14.

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Answer:

A

Step-by-step explanation:

To rite the equation of the function, take two points from the table. Let them be (1,21) and (3,15).

The slope of the function is

[tex]\dfrac{21-15}{1-3}=\dfrac{6}{-2}=-3[/tex]

Thus, the equation of the function in slope-intercept form is

[tex]f(n)=-3n+b[/tex]

Find b by substituting coordinates of the first point into the function expression:

[tex]21=-3\cdot 1+b\\ \\b=21+3\\ \\b=24[/tex]

Therefore,

[tex]f(n)=-3n+24[/tex]

Answer: x=4.25

Step-by-step explanation:

-30=4-8x

subtract 4 from both sides

-8x=-34

divide by -8 on both sides

x=4.25

Answer: No  

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

It doesn't tell you how many teams there but if there are two teams that have extra player it is obviously not proportional.

Answer:

hope this helped i was kinda confused by the question

Step-by-step explanation:

3 x 11 = 33

4 x 5 = 20

33 + 20 = 53

10 x 4 = 40

80 - 40 = 40

53 > 40

60 - 50 = 10

3 x 10 = 30

5 x 15 = 75

50 = 20 = 70

11 + 33 = 44

35 x 15 = 525

42 + 35 = 77

9 x 8 = 72

The expression 4x^2-px-7 leaves a remainder of -2 when divided by (x-3). Then the value of p is 10.33

Given the expression is [tex]4x^2 - px - 7[/tex] leaves a remainder of -2 when divided by (x-3)

To find: value of p

x - 3 = 0

x = 3

Let [tex]g(x) = 4x^2 - px - 7[/tex]

Hence we can say,

g(3) = -2

Substitute x = 3 in g(x) we get,

[tex]g(3) = 4(3)^2 - p(3) - 7\\\\-2 = 4(3)^2 - p(3) - 7[/tex]

On solving we get,

-2 = 4(9) - 3p - 7

-2 = 36 - 3p - 7

3p = 36 - 7 + 2

3p = 31

[tex]p = \frac{31}{3} = 10.33[/tex]

Thus the value of p is 10.33

Answer:

Step-by-step explanation:

The slope and the y intercept (you can tell there linear if the slope is the same and the y-intercepts are different).

Answer:

Information from dependent and independent variables.

Step-by-step explanation:

Information from dependent and independent variables and how they are related to each other. A relationship is linear only is every ordered pair is related by the same number, which is represented by the slope.