What is the value of x if...
9x - 4 - 4x = 8 + 3x

Answer:

The correct answer is 24

Step-by-step explanation:

K12 test

figure has two intersecting lines and a ray.

From this figure, the value of x= 24

Given :

Two intersecting lines and a ray. one angle is 110 degrees.

opposite to 111 degrees are 87  and x degrees

From  the two intersecting lines, we know that vertical opposite angles are equal .

111 degrees and 87+x  are vertical opposite angles

So, they are equal .

Lets make them equal and solve for x

[tex]111=87+x[/tex]

Now we subtract 87 on both sides and solve for x

[tex]111-87=87-87+x\\\\x=24[/tex]

So the value of x is 24 degrees

Learn more : brainly.com/question/68367

Answer:

17

Step-by-step explanation:

(11+14÷2)−1

 (11+7)−1

    18−1

       17

Assuming the given number is in base 2, we have

111.01₂ = 2² + 2¹ + 2⁰ + 2⁻²

111.01₂ = 4 + 2 + 1 + 0.25

111.01₂ = 7.25

Answer:

465 I think is the answer

% / 100 = Part / Whole

replace the given values:

85 / 100 = Part / 620

Cross multiply:

= 85 x 620 = 100 x Part

= 52700 = 100 x Part

Now, divide by 100 and get the answer:

Part = 52700 / 100 = 527

Answer:

it's 64,116

Step-by-step explanation:

ur welcome

Answer:

6.5555 months

Step-by-step explanation:

$415-$120= $295

Micah will need $295 from his paycheck earnings to be able to afford the guitar.

$295/$45= 6.5555months

Answer: Im pretty sure its B

(/ ^_^/) .....

9514 1404 393

Answer:

  1a: $84; 1b: 30,000A +15,000B; 1c: 37,000A +18,500B

  2: 4,000 composite units

Step-by-step explanation:

We assume your "composite unit" consists of the smallest set of units in the ratio in which they are sold.

A "composite unit" is 1B +2A. The contribution margins are the difference between the selling price and the variable cost per unit:

  A: 72 -40 = 32

  B: 48 -28 = 20

  composite unit: 2A+B = 2(32) +20 = 84

(a) The contribution margin per composite unit is $84.

__

(b) The break-even point is the number of composite units that have a total contribution margin equal to the total fixed costs:

  84n = 1260000

  n = 1260000/84 = 15000

30,000 units of A and 15,000 units of B must be sold to break even.

__

(c) The additional number of composite units required to achieve pre-tax income of 294000 is ...

  294,000/84 = 3500

37,000 units of A and 18,500 units of B must be sold for a pretax income of $294,000.

__

Contribution margins per unit are ...

  H: 6 -4 = 2

  C: 8 -6 = 2

  I: 10 -7 = 3

A composite unit is 3H +2C +I, so the contribution margin per composite unit is ...

  3(2) +2(2) +1(3) = 6 +4 +3 = 13 . . . dollars

The break-even point is 52,000/13 = 4,000 composite units

Answer:

x = [tex]\frac{y}{7}[/tex], y = 7x

Step-by-step explanation:

hope this helps

Answer:

35

Step-by-step explanation:

1.5x30=45 -

45-10= 35

month=30 days

Movie costs 1.5 for a day and it will cost 10 for a month so you have to do 1.5x30=45 then you have to subtract 10 becuses that's the monthly pay so your answer would be 35 please (give brainless)

Answer:

The top of the ladder is sliding down at a rate of -1.25 ft/s.

Step-by-step explanation:

From the Pythagorean Theorem:

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

(Where a is the height, b is the distance between the bottom of the ladder and the wall, and c is the length of the ladder itself.)

Note that the hypotenuse c is a constant value at 26 feet. Substitute:

[tex]\displaystyle a^2 + b^2 = (26\text{ ft})^2 = 676 \text{ ft}^2[/tex]

We want to determine how fast the top of the ladder is sliding down the wall at the instant of time when the bottom of the ladder is 10 feet from the wall and sliding away from the wall at the rate of 3 ft/s.

In other words, we want to find da/dt given that b = 10 ft, and db/dt = 3 ft/s.

First, we can differentiate both sides with respect to t, where a and b are both functions of t:

[tex]\displaystyle \frac{d}{dt}\left[ a^2 + b^2\right ] = \frac{d}{dt}\left [ 676 \text{ feet}^2\right ][/tex]

Implicit differentiation yields:

[tex]\displaystyle 2a \frac{da}{dt} + 2b \frac{db}{dt} = 0[/tex]

Next, since we know that b = 10 ft, we can find a:

[tex]\displaystyle \begin{aligned} a^2 + b^2 & = 676\text{ ft}^2 \\ \\ a^2 +(10 \text{ ft})^2 & = 676\text{ ft}^2 \\ \\ a & = 24\text{ ft} \end{aligned}[/tex]

Substitute and solve for da/dt:

[tex]\displaystyle \begin{aligned} 2a \frac{da}{dt} + 2b\frac{db}{dt} & = 0 \\ \\ 2(24 \text{ ft}) \frac{da}{dt} + 2(10 \text{ ft})(3 \text{ ft/s}) & = 0 \\ \\ 48 \text{ ft} \cdot \frac{da}{dt} & = -60 \text{ ft$^2$/s} \\ \\ \frac{da}{dt} & = -1.25 \text{ ft/s} \end{aligned}[/tex]

Since the ladder is sliding down the wall, da/dt is expected to be negative.

In conclusion, the top of the ladder is sliding down at a rate of -1.25 ft/s.

Answer:

6

Step-by-step explanation:

Given that

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

the inverse [tex]g^{-1}(x)[/tex] is such that

[tex]g\left(g^{-1}(x)\right) = g^{-1}(x)^3 + g^{-1}(x) = x[/tex]

or

[tex]g\left(f(x)\right) = f(x)^3 + f(x) = x[/tex]

Differentiating both sides using the chain rule gives

[tex]3f(x)^2f'(x) + f'(x) = 1 \\\\ f'(x) \left(3f(x)^2+1\right) = 1 \\\\ f'(x) = \dfrac1{3f(x)^2+1}[/tex]

Then the derivative of f at 2 is

[tex]f'(2) = \dfrac1{3f(2)^2+1} = \boxed{\dfrac14}[/tex]

Answer: (A) 24

Step-by-step explanation:

Parallel lines have the same slope

The equation of the line is: [tex]\mathbf{y = \frac 23x + 8}[/tex]

From the question, we have:

[tex]\mathbf{2x - 3y = 5}[/tex]

Make y the subject

[tex]\mathbf{- 3y = 5 - 2x}[/tex]

Divide through by -3

[tex]\mathbf{y = \frac 23 x - 5}[/tex]

Because the required equation is parallel to [tex]\mathbf{2x - 3y = 5}[/tex], then they must have the same slope

A linear equation is represented as:

[tex]\mathbf{y=mx + c}[/tex]

Where:

m represents the slope

So, by comparison:

[tex]\mathbf{m = \frac 23}[/tex]

This means that:

The required equation has a slope of 2/3

The equation of the line is:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

Where:

[tex]\mathbf{m = \frac 23}[/tex]

[tex]\mathbf{(x_1,y_1) = (-9,2)}[/tex]

So, we have:

[tex]\mathbf{y = \frac 23(x + 9) + 2}[/tex]

Open brackets

[tex]\mathbf{y = \frac 23x + 6 + 2}[/tex]

[tex]\mathbf{y = \frac 23x + 8}[/tex]

Hence, the equation of the line is: [tex]\mathbf{y = \frac 23x + 8}[/tex]

Read more about equations of parallel lines at:

https://brainly.com/question/402319

Answer:

a straight line has an angle of 180

therefore 180-109=71

71÷2 = 35.5

x is 35.5 degrees

The measure of x is 29 degree.

As, Parallel line have property

As, <CBA = <BAD (Alternate Interior Angle)

So, <BAD = 42

Now, <BAD + <BAC + <CAE = 180 (Linear Pair)

42 + 109 + x = 180

151 +x = 180

x = 180- 151

x = 29

Learn more about Parallel line here:

https://brainly.com/question/16701300

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Answer:

$10.04

Step-by-step explanation:

-15.46+25.50

equals

25.50-15.46

Answer:

[tex]70f^{3}g^{2}h[/tex]

Step-by-step explanation:

Answer:

41/5

Step-by-step explanation:

First we change the 8 and 1/5% to 8.2%

Write the fraction down as a number over one = 8.2/1

Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,

8.2/1 = (8.2 × 10)

(1 × 10) = 82/10

Reduce the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD (82,10) = 2. So, (82÷2)/(10÷2) = 41/5 when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 82/10 is also equal to 81/5 when expressed as a mixed number.

Answer:

true

Step-by-step explanation:

it is because 1 and 3 in set A are in sat B

nonrigid

segment lengths are not

Answer:

1 Nonrigid

2 segment lengths are not

Answer:

1200

Step-by-step explanation:

Answer:

y=-2/5x-1

Step-by-step explanation:

I started by looking for the y-intercept of the line, where the line intersects with the y-axis and saw it was -1.

Then I looked at the slope of the line and used the rise/run strategy. From the y-intercept to the point it was 2 units down and 5 units across (2/5) and since it is going down it's negative

Plugging it in: y=mx+b

m=slope

b=y-intercept

y=-2/5x-1

Hope this helps :)

Answer:

19.5

Step-by-step explanation:

3r+(7+8)/(t-3)

3(4)+(15)/(5-3)

12+(15/2)

12+7.5

19.5