Solve for b:
3(b - 4) = -3

Answer:

3/2 x

Step-by-step explanation:

length of a side of an  equilateral triangle is x

The perimeter is

P = 3s  where s is the side length

P = 3x

1/2 of the perimeter

1/2 (3x)

3/2 x

Answer:

a=18/b2

Step-by-step explanation:

The required equation for the indicated variable is a = 18/b² which is solved for a.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

We have been given the equation for the indicated variable as

⇒ 1/3ab² = 6

Multiply by 3 both sides of the above equation,

⇒ ab² = 6×3

⇒ ab² = 18

Divide by b² into both sides of the equation, and we get

⇒ a = 18/b²

Therefore, the required equation for the indicated variable is a = 18/b².

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Answer:

-0.375

Step-by-step explanation:

you just divide the numbers.

Answer:

-44

Step-by-step explanation:

[tex] - 36 - 8 = - 44[/tex]

Answer:

Point

Step-by-step explanation:

This is the definition of a point.

A "point" is a fixed position in space and has no dimensions or size.

Cheers.

Answer:

A point is a fixed position in space and has no dimensions or size.

Answer:

The multiplicative inverse is equal to v(x), but the additive inverse is not.

Step-by-step explanation:

The multiplicative inverse is equals to v(x) but the additive inverse is not.

Additive inverse is a number which on getting added to the original number results in zero.

For example, 5 - 5 = 0

⇒ -5 is the additive inverse of 5.

Multiplicative inverse of a number is a value which when multiplied by the original number results in 1.

For example

[tex]5 (\frac{1}{5} )= 1[/tex]

⇒ [tex]\frac{1}{5}[/tex] is the multiplicative inverse of 5.

According to the given question.

We have a function

v(x) = 1

Let the additive inverse of 1 is x.

⇒ 1 + x = 0

⇒ x = -1.

Hence, the additive inverse of 1 is -1.

Let the multiplicative inverse of 1 is y.

⇒ 1 × y = 1

⇒ y = 1/1

⇒ y = 1

Hence, the multiplicative inverse of 1 is 1.

From the above calculation we can see that, the multiplicative inverse is equals to v(x) but the additive inverse is not.

Thus last option is correct.

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Answer:

the maximum monthly payment is $958

Step-by-step explanation:

The computation of the maximum monthly payment for affording is shown below;

Let us assume that there is a 34% of the gross monthly income

So, it would be calculated below:

= Given percentage × gross monthly income - payments made - taxes & insurance per month

= 0.34 × $3,500 - $147 -$85

= $958

hence, the maximum monthly payment is $958

It is called a image

Answer:

NEW Image

Step-by-step explanation:

Answer:

55.923 MPH

Step-by-step explanation:

Divide by 1.609

Answer:

The answers are A and B.

Step-by-step explanation:

Answer:

[tex]\Large \boxed{\mathrm{independent: \ time}} \\\\\\ \Large \boxed{\mathrm{dependent: \ elevation }}[/tex]

Step-by-step explanation:

The independent variable is on the x-axis.

The independent quantity is time.

The dependent variable is on the y-axis.

The dependent quantity is elevation.

Answer:

The dependent variable is on the y-axis.

The dependent quantity is elevation.

The independent variable is on the x-axis.

The independent quantity is time.

Answer:

[tex] \boxed{ \bold{ \huge{\boxed{ \sf{14x - 6}}}}}[/tex]

Step-by-step explanation:

Given,

Length of a rectangle ( l ) = 6x - 2

Width of a rectangle ( w ) = x - 1

Perimeter of a rectangle ( P ) = ?

Finding the expressions that represents the perimeter of the rectangle

[tex] \boxed{ \sf{perimeter \: of \: rectangle = 2(l + w)}}[/tex]

⇒[tex] \sf{2(6x - 2 + x - 1)}[/tex]

Collect like terms

⇒[tex] \sf{2(7x - 2 - 1)}[/tex]

Calculate

⇒[tex] \sf{2(7x - 3)}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{14x - 6}[/tex]

Hope I helped!

Best regards!!

a) impossible

b)  the sum of the angles in a triangle is 180°

63° + 59° + 57° = 179°

Answer:

[tex]-\sqrt{14} < c < \sqrt{14}[/tex]

Step-by-step explanation:

For the function to have a domain of all reals, the denominator cannot have a value of zero. x^2 + 2cx + 14 will not have zero as a root if it has no real solutions. A quadratic equation has no solutions when the discriminant is negative.

b^2 - 4ac < 0

(2c)^2 - 4(1)(14) < 0

4c^2 - 56 < 0

4c^2 < 56

c^2 < 14

[tex]-\sqrt{14} < c < \sqrt{14}[/tex]

The domain of the function, f(x) = (x + 7) / (x^2 + 2cx + 14) is the set of all real numbers for the value of c as  [tex]-\sqrt{14} < c < \sqrt{14}[/tex] .

Domain of a function are the values that a function can take that is the set of all possible inputs.

Given the following function:

[tex]f(x)=\dfrac{x+7}{x^2+2cx+14}[/tex]

For the real number domain of the given function, the denominator must be a non-zero term. Because, if the denominator is zero then the function will result in an undefined number which does not lie in the real number domain.  

For denominator to be non zero, we have to find the value of x which is not the solution of the equation of denominator.

x²+2cx+14≠0

Such value of x can be determined using discriminant.

d<0, then no real solution exists.

d=b²-4ac

Here a=1, b=2c, c=14

d=4c²-4x14

d=4c²-56

d<0

4c²-56<0

4c²<56

c²<14

[tex]-\sqrt{14} < c < \sqrt{14}[/tex]

Thus,  [tex]-\sqrt{14} < c < \sqrt{14}[/tex] is such that the domain of the function is the set of all real numbers.

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Step-by-step explanation:

2(d-t)=4t +7

open the bracket

2d - 2t =4t +7

collect like terms

2d-7=4t +2t

2d-7=6t

divide both sides by 6

2d-t/6=6t/6

T=2d-t/6

Answer:

t = (2d-7)/6

Step-by-step explanation:

2(d – t) = 4t + 7

Distribute

2d-2t=4t+7

Add 2t to each side

2d-2t+2t=4t+2t+7

2d = 6t+7

Subtract 7 from each side

2d-7 = 6t

Divide by 6

(2d-7)/6 = t

Answer:

The answer is: Integers, and Rational Numbers.

Step-by-step explanation:

the number -4 belongs to the subsets of real numbers: Integers and Rational numbers.

The number -4 belongs to the following subsets of real numbers:

1. Integers: Integers include all positive and negative whole numbers, as well as zero. Since -4 is a negative whole number, it is an integer.

2. Whole numbers: Whole numbers include all non-negative integers. Since -4 is negative, it is not a whole number.

3. Natural numbers: Natural numbers include all positive integers. Since -4 is negative, it is not a natural number.

4. Rational numbers: Rational numbers include all numbers that can be expressed as a ratio of two integers, where the denominator is not zero. -4 can be expressed as -4/1, where -4 is an integer and 1 is also an integer. Therefore, -4 is a rational number.

In conclusion, the number -4 belongs to the subsets of real numbers: Integers and Rational numbers.

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Answer:

The number is 312750/7

Step-by-step explanation:

(312750/7)*28000=1251000000

Answer:16

Step-by-step explanation:

Glue

Answer:

7 7/20 is the answer.

Answer:  7 7/20

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

7.35=7.35 / 1

Multiply to remove 2 decimal places. Here, you multiply top and bottom by 100

7.35/ 1 × 100/ 100=735 / 100

Find the Greatest Common Factor (GCF) of 735 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 5

735 ÷ 5 = 147

100  ÷ 5 = 20

Divide 147/ 20 = 7 7/20

Answer:

Step-by-step explanation= 33

Answer:

My answer to the question is 2t÷13.

Answer:

[tex]\Huge \boxed{\frac{2t}{13} }[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The number t is doubled.

[tex]\Rightarrow t *2[/tex]

[tex]\Rightarrow 2t[/tex]

Quotient is the result after dividing two or more values.

[tex]\Rightarrow \displaystyle \frac{2t}{13}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

30,000 km × (4.8 L / 100 km) × ($1.45 / L) = $2088

30,000 km × (10 L / 100 km) × ($1.45 / L) = $4350

The difference is $4350 − $2088 = $2262.

(1.25 x 12)/ 0.6=

25

Hope this helps :)

Answer:

D

Step-by-step explanation:

HOLY GOD

TSUKIIIIIIII.  

I LOVE U TSUKIII

Answer: a=2 b= 11/6 or 1  5/6

Step-by-step explanation:

Answer:

  14.  -5√30 +3√2

  15.  18√5 -30√3

Step-by-step explanation:

You can multiply radicals using ...

  (√a)(√b) = √(ab)

And you can simplify radicals using ...

  √(a²b) = a√b

_____

14. Using the distributive property, then simplifying the radicals, we have ...

  [tex]\sqrt{3}(-5\sqrt{10}+\sqrt{6})\\\\=-5\sqrt{3\cdot10}+\sqrt{3\cdot6}\\\\=-5\sqrt{30}+\sqrt{3^2\cdot2}\\\\=\boxed{-5\sqrt{30}+3\sqrt{2}}[/tex]

__

15. Similarly, ...

  [tex]-2\sqrt{15}(-3\sqrt{3}+3\sqrt{5})\\\\=6\sqrt{15\cdot3}-6\sqrt{15\cdot5}\\\\=6\sqrt{3^2\cdot5}-6\sqrt{5^2\cdot3}\\\\=\boxed{18\sqrt{5}-30\sqrt{3}}[/tex]

Answer: [tex]\frac{4}{9}[/tex] lbs of turkey

Step-by-step explanation:

hey there,

< Since we know 27 sandwiches = 12 lbs, then let's make a ratio table.

27 sandwiches = 12 lbs

1 sandwich = ? lbs

The way you solve a ratio table is multiply the two amounts that cross each other that do not include the thing we are trying to find. Here, it would be 12 lbs x 1 sandwich, as they are right across from each other and there is no "?" within either of those two. 12 x 1 = 12. Now, divide by the last amount left that we haven't touched yet (27 sandwiches).

12 ÷ 27 = [tex]\frac{12}{27}[/tex] = [tex]\frac{4}{9}[/tex] lbs of turkey or you can change it to a decimal so it would be 0.44 lbs (not precise so it's better to use a fraction). >

Hope this helped! Feel free to ask anything else if you still have questions.

Answer:

4/9 lbs per sandwich

Step-by-step explanation:

We want turkey per sandwich

12 lbs turkey/ 27 sandwiches

4/9 lbs per sandwich

Answer:

D

Step-by-step explanation:

Associative property states that the sum of three or more numbers stays the same no matter how the numbers are grouped.

A is not correct because it is multiplication not addition and it asked for addition

Answer:

First you have to make the values equal....

which is 2^(x-4)=2a^2(x-6).

then since 2 are equal and its x we are looking for.

x-4=2x-12.

x-2x=-12+4.

-x=-8.

x=8.

Answer:

5 x 40/60

Step-by-step explanation:

The distance Amit ran will be 3.34 kilometers in 40 minutes.

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Distance is defined as the length between the two points.

It is given that the distance traveled over time t and at an average speed is s. Amit ran for 40 minutes at a speed of about 5 kilometers per hour.

The distance will be calculated by using the speed formula:-

Speed = Distance / time

Convert the formula to calculate distance.

Distance = Speed x Time

Distance = 5 x  ( 40/60 )

40/ 60 is the time in hours.

The distance will be calculated as:-

Distance = 10 / 3

Distance = 3.34 kilometers

Therefore, the distance Amit ran will be 3.34 kilometers in 40 minutes.

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