Find the circumference and the area of a circle with diameter 6 yd.
Use the value 3.14 for T, and do not round your answers. Be sure to include the correct units in your answers.

[tex]3x + 2x = 35 \\ 5x = -35 \\ x = 7 \\ 3x = 3 \times 7 = 21 \\ 2 x \: \: \: \: 2 \times 7 = 14 \\ 21 \: and \: 14 \: answer[/tex]

Answer:

8 and 2

Step-by-step explanation:

Answer:

1/4 and 1/2

Step-by-step explanation:

One number is twice another number.

x and 2x

The sum of their reciprocals is 6

[tex]\frac{1}{x}[/tex] + [tex]\frac{1}{2x}[/tex] = 6

Use common denominator of 2x

[tex]\frac{2}{2x}[/tex] +  [tex]\frac{1}{2x}[/tex] = 6

[tex]\frac{3}{2x}[/tex] = 6

multiply botn sides by 2x

3 = 12x

Divide both sides by 12

1/4 = x

x = 1/4

2x = 1/2

The numbers are

1/4 and 1/2

The following are deductive reasoning for each statement in the algebraic proof given:

1. CD + DE = CE (Segment Addition Postulate)

2. 8 + (3x + 7) = 6x (Substitution)

3. 3x + 15 = 6x (Combining like terms)

4. 15 = 3x (Subtraction Property of Equality)

5. x = 5 (Division Property of Equality)

6. CE = 6(5) (Substitution)

Recall:

Thus, the following are deductive reasoning for each statement in the algebraic proof given:

1. CD + DE = CE (Segment Addition Postulate)

2. 8 + (3x + 7) = 6x (Substitution)

3. 3x + 15 = 6x (Combining like terms)

4. 15 = 3x (Subtraction Property of Equality)

5. x = 5 (Division Property of Equality)

6. CE = 6(5) (Substitution)

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Answer:

1/3

Step-by-step explanation:

Answer:

each person ate 1/3 of a sandwich

Step-by-step explanation:

Answer:

(2f-17h)/24k

Step-by-step explanation:

We can make the common denominator for 3k and 8k in the form of 24k, so we get (multiply the first fraction by 8 and the second one by 3 to get 24k on each denominator) (8f-32h)/3k-(6f-15h)/24k. Now we can just subtract the numerators :

8f-32h-6f+15h (sign gets flipped on 6f and 15h), so we get

(2f-17h)/24k

Answer:

m=7/2

Step-by-step explanation:

[tex]2 \times + 3y = 5x - y[/tex]

[tex]2 \times + 3y = 5x - y

[/tex] Move the variables to the left

[tex]2 \times + 3y - 5 \times + y = 0[/tex]

Collect like terms

[tex] - 3 \times + 4y = 0[/tex]

Change the signs

[tex]3 \times - 4y = 0[/tex]

Answer: [tex]16x^4y^2a^6[/tex]

Step-by-step explanation:

just apply to the power of 2 to every term

-4 times -4 is 16

x^2 to power of 2 is 2 times 2 so x^4

y^2 is y^2

a^3 to power of 2 is 3 x 2 = 6 so a^6

16x^4y^2a^6

Answer:

16x^4y^2a^6

Step-by-step explanation:

Do this step by step

16x^4y^2a^6

Please give brainliest!

Answer:

y=4/3

Step-by-step explanation:

3y-8=3y

3y+3y=8

6y=8

y=8/6=4/3

Explanation:

Factoring to linear factors generally involves finding the roots of the polynomial.

The two rules that are taught in Algebra courses for finding real roots of polynomials are ...

In general, it is a difficult problem to find irrational real factors, and even more difficult to find complex factors. The methods for finding complex factors are not generally taught in beginning Algebra courses, but may be taught in some numerical analysis courses.

Formulas exist for finding the roots of quadratic, cubic, and quartic polynomials. Above 2nd degree, they tend to be difficult to use, and may produce results that are less than easy to use. (The real roots of a cubic may be expressed in terms of cube roots of a complex number, for example.)

__

Personally, I find a graphing calculator to be exceptionally useful for finding real roots. A suitable calculator can find irrational roots to calculator precision, and can use that capability to find a pair of complex roots if there is only one such pair.

There are web apps that will find all roots of virtually any polynomial of interest.

_____

Additional comment

Some algebra courses teach iterative methods for finding real zeros. These can include secant methods, bisection, and Newton's method iteration. There are anomalous cases that make use of these methods somewhat difficult, but they generally can work well if an approximate root value can be found.

Answer: 96

Step-by-step explanation:

96/3 = 32 per cup  32 x 3 = 96

Answer:

y=2

Step-by-step explanation:

Because the degrees of the numerator and denominator are equal to each other, then the equation of the horizontal asymptote of the function is y=2 since the end behavior of the function is equal to 2x/x=2.

Answer:

Step-by-step explanation:

In exponents multiplication, if bases are same, add the powers

[tex]a^{m}*a^{n} =a^{m+n}\\\\\\(-5)^{5}*(-5)^{-6}=9-5)^{(-5) + (-6)} = (-5)^{-11}[/tex]

Answer:

Your answer would be:
-1/5 or -0.2

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

H=21ft

Step-by-step explanation:

Height=2•Area/Base

Area=126ft^2

Base=12ft.

H=2•126/12=21ft

H=21ft

Hope this helps :)

Answer:

$3.52 (rounded to nearest penny)

Step-by-step explanation:

7x + 15(7) = 12(2x) + 12.5(6)

7x + 105 = 24x + 75

105 = 17x + 75

30 = 17x

1.76 = x

3.52 = 2x

The cost for each adult to rent bowling shoes is $12.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Group I:

Total students= 7

Rent of bowling= $x

Spent on snacks= $15

Then, total amount spent by 7 children = 7x+ 15(7)

Group II:

Total students= 6

Rent of bowling= $2x

Spent on snacks= $12.50

Then, total amount spent by 7 children = 6(2x)+ 6 (12.50)

So, If both groups spent the same total amount

7x+ 105=  12x + 75

12x- 7x = 105- 75

5x = 30

x= 6

Hence, the cost for each adult to rent bowling shoes is $12.

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Answer:

20/33

Step-by-step explanation:

i took the test

Answer:

x = 20/33

Step-by-step explanation:

−6.6x = −4

Divide both sides by -6.6

x = -4/(-6.6)

x = 40/66

x = 20/33

Answer: x = 20/33

Answer:

(-7,0) (-4,0)(0,0)

Step-by-step explanation:

Answer:

Steeper: y=-3/2x+1/2 AND y=-2x+7/3 AND y=-7/4x+3/2

Less Steep: y=-4/3x+2/3 AND y=-8/7x+4/7

Step-by-step explanation:

Hope this helps :)

Answer:

The milk is priced at $1.74/gallon

Step-by-step explanation:

If Jenny started out with $10 and ended up with $1.30 in change, she must have spent $10 - $1.30, or $8.70.

                                                        $8.70

Then the unit price for the milk is ---------- = $1.74 per gallon

                                                         5 gal

Answer:

-8

Step-by-step explanation:

The difference between a number P and 6 is -14.

then;

[tex]p - 6 = - 14 \\ p = - 14 + 6 \\ p = - 8[/tex]

Answer:

g=2

Step-by-step explanation:

5.3g+9=2.3g+15

5.3g-2.3g=15-9

3g=6

g=6÷3

=2

Answer:

g = 2

Step-by-step explanation:

5.3g + 9 = 2.3g + 15

Subtract 2.3g from both sides

3g + 9 = 15

Subtract 9 from both sides

3g = 6

Divide both sides by 3

g = 2

Answer:

B.

Step-by-step explanation:

Answer:

95 degrees

Step-by-step explanation:

The sum of all the angles need to come to 360 degrees. We already have 2 90 degree angles, together 180 degrees. Subtract from 360 to get 180, so we know the other two angles together need to equal 180. x + x + 10 = 180

Add common terms, then subtract 10: 2x = 170

Divide by 2: x = 85

So angle F is 85 + 10, or 95 degrees.

Answer:

4^22x

Step-by-step explanation:

Answer:

she will have 3/4 cups left over

Step-by-step explanation:

1 1/2 times 12 is 18

Answer:

■ y = m x

m = slope

Here m = 4/3

,*,slope is 4/3

6) The equation given is written in standard form of writing the equation of a line y = mx + b

Hence the shape of the graph that denotes the equation c(m) = 28m + 100 is a straight line

7) The independent variable is a variable that can stand alone while the dependent variable is depending on all other variables in an expression.

From the given equation c(m) = 28m + 100, the independent variable is (m) while the dependent variable is c(m)

8) The domain is the input value for which the equation exists while the rage is the output value for which the equation exists. For the given expression, the value of the expression will exist at a point where c(m) > 0

28m + 100 > 0

28m > -100

m > -100/28

m > --25/7

The domain is m > -25/7 while the range is c(m) > 0

9) The comparing the equation with y = xm+ b

where x is the slope

28m = mx

x = 28

This shows that the rate of change of cost per member is $28

The y-intercept is the point where the number of months is 0

If m = 0

c(0) = 28(0) + 100

c(0) = 100

The initial cost of membership in the first month is $100

10) Given the formula c(m) = 28m + 100

For a whole year, m = 12

c(12) = 28(12) + 100

c(12) = 336 + 100

c(12) = 436

Hence the membership will cost $436 for the whole year

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