Let a be -1/6 and let b be 1/2. Let x be the sum of the reciprocals of a and b, let y be the product of the reciprocals of a and b, and let z be twice the reciprocal of a divided by the reciprocal of b. Calculate x+y+z. Please Help!

Answer:

12.7 feet

Step-by-step explanation:

To solve this question, we use the trigonometric function of Sine

sin θ = Opposite side/Hypotenuse

θ = 42°

Hypotenuse = 19 foot ladder

Opposite side = Distance of the cat from the ground(height of the tree)= unknown

sin 42° = Opposite/19 feet

Opposite = sin 42° × 19

Opposite = 12.713481521 feet

Approximately to the nearest tenth of a foot = 12.7 feet.

Therefore, the cat was 12.7 feet above the ground.

Answer:

10x + 7

Step-by-step explanation:

First expand by distributing the 3 and the 2 on the outside of both parentheses:

3(2x-1) + 2(2x+5) becomes

(6x - 3) + (4x + 10)

Then combine like terms (6x + 4x and -3 + 10) to simplify:

6x + 4x - 3 + 10 = 10x + 7

Answer:

-1/6 x (4a - 5)

Step-by-step explanation:

-2/3a + 5/6

Factor the expression.

Answer:

x = 4

Step-by-step explanation:

An angle bisector divides an angle into two equal parts.  This means that you can set the two parts equal to each other and solve for x.

8x + 35 = 11x + 23

(8x + 35) - 35 = (11x + 23) - 35

8x = 11x - 12

8x - 11 x = (11x - 12) - 11x

-3x = -12

(-3x)/-3 = -12/-3

x = 4

Answer:

98.63 ounces of flour.

Answer:

plz give the ques properly

Answer:

It's True!

Step-by-step explanation:

Iv'e taken a class on that.

Answer:

False

Step-by-step explanation:

Intersection of a set A with empty set is an empty set. So the answer is False.

Answer:

$84

Step-by-step explanation:

divide 140 by the five days and you get 28 then you multiple it by the 3 days and you get $84

His pay for 3 days would be $84.

To find the man's pay for 3 days, we can use the concept of proportionality. Since the man earns $140 in a 5-day week, we can calculate his daily earnings by dividing the weekly earnings by the number of days in the week:

Daily earnings = Weekly earnings / Number of days in the week

Daily earnings = $140 / 5 days

Now, let's calculate the daily earnings:

Daily earnings = $140 / 5 days = $28 per day

Therefore, the man's pay for 3 days would be:

Pay for 3 days = Daily earnings * Number of days

Pay for 3 days = $28 * 3 days = $84

His pay for 3 days would be $84.

To know more about proportionality:

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Answer:

x^15/x^8 = x^7

x^3⋅x^4 = x^7

(x^21)1/3 = x^7

Step-by-step explanation:

The equivalent expressions of expression x⁷ are (x²¹)¹/³, x⁷ and x¹⁵/x⁸.

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Given:

An expression x⁷.

To find the equivalent expressions:

(1).

(x²¹)¹/³

Simplifying,

= ∛(x⁷)³

= x⁷

This is an equivalent expression of expression x⁷.

(2).

x¹⁵/x⁸

Simplifying,

= x⁸⁺⁷/x⁸

= x⁷

This is an equivalent expression of expression x⁷.

(3).

x¹³ / x²¹

Simplifying,

= x¹³/x¹³⁺x⁸

= 1/ x⁸

This is not an equivalent expression of expression x⁷.

(4).

x³ / x⁴

Simplifying,

= 1/ x

This is not an equivalent expression of expression x⁷.

(5).

x¹⁵ x⁸

Simplifying,

= x²¹

This is not an equivalent expression of expression x⁷.

(6).

x³x⁴

Simplifying,

= x⁷

This is an equivalent expression of expression x⁷.

Therefore, the equivalent expressions are (x²¹)¹/³, x⁷ and x¹⁵/x⁸.

To learn more about the equivalent expression;

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Answer:

a. the total amount spent

b. 4 candy bars, we can write this as 4x

c. the total amount of money Tom spent was 22 dollars

d. the value that is constant and separate from the price and quantity of candy bars is 4 dollars, the amount he spent on the soft drink

e. Equation: 22=6x+4

Answer:

f = 7

Step-by-step explanation:

-6f = -7f+7

Add 7f to each side

-6f+7f = -7f+7f+7

f = 7

Answer:

4 is the lcm if you forgot the space in 4 and 8

Step-by-step explanation:

answer: 4 is the answer when 4 and 8 are are not together

Answer:

-6 < x

Step-by-step explanation:

4 - 5x < 22 - 2x rearrange the expression so like terms will be in the same sides of inequation

4 - 22 < -2x + 5x

-18 < 3x

-6 < x

Answer:

Step-by-step explanation:

4 - 5x  <  22 - 2x

  +2x        +2x

4 - 3x  <  22

  -4          -4

  - 3x  <  18

  ÷(-3)     ÷(-3)

     x  > - 6

    x ∈ (-6, ∞)

Step-by-step explanation:

Hey, there !!

It's simple lets get started with simple solution,

Given the sequences are,

10,8,6,4....

Then,

common diifference= 2

now, we have formula,

[tex]an = a1 + d(n - 1)[/tex]

[tex]or \: an= 10 + 2(n - 1)[/tex]

[tex]or \: an \: = 10 + 2n - 2[/tex]

[tex]an \: = 2n + 8[/tex]

[tex]or \: an = 2(n + 4)[/tex]

Therefore, The answer is an = 2( n+4) or, 10+2(n-1)...

{ note: 2(n+4) is simplified form of 10 +2(n-1).}

Hope it helps...

Answer:

A. 312 m^3

Step-by-step explanation:

that's the answer. you have to solve the triangular prism sides first.

Answer:

⇢ [tex]{\boxed{\bold{Simplified \: form = 4x + -3y + 52}}}[/tex]

Step-by-step explanation:

⇢ [tex]\rm{7^{2} + 4x - 3y+3}[/tex]

ㅤ

From the above equation, expanding we get:-

⇢ [tex]\rm{49 + 4x + -3y+3}[/tex]

ㅤ

Now combining the like terms:-

⇢ [tex]\rm{49 + 4x + -3y + 3}[/tex]

ㅤ

⇢ [tex]\rm{(4x) + (-3y) + (49 + 3)}[/tex]

ㅤ

ㅤ

Point to remember:-

⇢ In the part of equation expansion, there we have to expand the given equation like: (7² = 7 * 7 = 49). Therefore we get that number.

Answer:

x=-6

Step-by-step explanation:

5x+3=−27

Subtract 3 from both sides.

5x=−27−3

Subtract 3 from −27

5x=−30

Divide both sides by 5.

x=30/5

Divide −30 by 5

x=−6

Answer: -6

Step-by-step explanation:

  3+5x=-27

3+5x-3=-27-3 ⇔ subtraction property of equality

      5x=-30 ⇔ simplify

  5x/5=-30/5 ⇔ division property of equality

        x=-6 ⇔ answer

Hope this helps!! :)

Answer:

Step-by-step explanation:

Given the expression 4x-1 = 4x+7, we are to simplify the expression and find the value of x. To do that the following steps must be carried out.

Step 1: collect the like terms by regrouping the expression

4x-1 = 4x+7

4x - 4x = 7+1

0x = 8

Step 2: Dividing both sides by the number next to x

0x/0 = 8/0

x = ∞

Any constant dividing zero will always return infinity as a value.

Answer:

Step-by-step explanation:

The triangles' angles are congruent.

So,

J = H

67 = 67

I = K

X = X

Make the angles add

So,

46 + 67 = 113

Subtract from total

180 - 113 = 67

Hope this helped,

Kavitha

Answer:

5 + 2[tex]\sqrt{11}[/tex]

Step-by-step explanation:

5 + [tex]\sqrt{11}[/tex] - [tex]\sqrt{5}[/tex] + [tex]\sqrt{11}[/tex] + [tex]\sqrt{5}[/tex]

5 + 2[tex]\sqrt{11}[/tex] -  [tex]\sqrt{5}[/tex] + [tex]\sqrt{5}[/tex]

5 + 2[tex]\sqrt{11}[/tex]

Greetings from Brasil...

Just apply trigonometry....

(Tangent)

TG A = BC ÷ AC

TG 50,1 = X ÷ 5

1,196 = X ÷ 5

X = 1,196 × 5

Answer:

y = -x + 12

Step-by-step explanation:

2x + 2y = 24

divide all by 2

x + y = 12

y = -x + 12

Answer:

-5

Step-by-step explanation:

Answer:

(-12) + 7 = -5

La respuesta de (-12) + 7 es -5

Espero eso ayude.

Answer:

x = 3

Step-by-step explanation:

3(2x + 5) = 33

3 * 2x + 3 * 5 = 33

6x + 15 = 33

6x = 33 - 15

x = 18 / 6

x = 3

Answer:

8.94427190

Step-by-step explanation:

Finding squares is quite difficult, I recommend to use a calculator.

If you take the square root of 80 you get 4sqrt 5. The decimal form of that comes out to about 8.94427

Answer:

Step-by-step explanation:

Let the number be x

The statement

twice a number is written as

2x

The sum of twice a number and seven is written as

2x + 7

The result is 13

So we have

2x + 7 = 13

Subtract 7 from both sides

That's

2x + 7 - 7 = 13 - 7

2x = 6

Divide both sides by 2

That's

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

We have the final answer as

Hope this helps you

Answer:

i'm pretty sure its D (not sure btw)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Took the test ;)

Answer:

Option (B)

Step-by-step explanation:

From the property of a triangle,

Sum of all interior angles of the triangle is 180°

By applying this property in the given triangle IHK,

m∠HIK + m∠IKH + m∠KHI = 180°

m∠HIK + 35° + 35° = 180°

m∠HIK = 180° - 70°

            = 110°

Therefore, measure of the unknown angle of the given triangle is 110°.

Option (B) will be the answer.

Answer:

As eudora states: B).110 is the correct answer.

Answer:

24

Step-by-step explanation:

Edge of a cube is 2x whose volume is 8x^3

Given

Volume of a cube is [tex]8x^3[/tex]

we need to find the edge length of the cube

the volume of cube formula is [tex]side^3[/tex]

[tex]a^3=8x^3\\\\\\a^3=2^3x^3\\a^3=(2x)^3\\take \; cuberoot \; \\a=2x[/tex]

So the side length of the cube is 2x

Edge of a cube is 2x  whose volume is 8x^3

Learn more : brainly.com/question/14025843

Answer:

38 < 4x + 3 + 7 - 3x

38 < x + 10

B. 28 < x

Answer:

B. x > 28

Step-by-step explanation:

38 < 4x + 3 + 7 - 3x

38 < (4x - 3x) + ( 3 + 7 )

38 < x + 10

x > 38 - 10

x > 28