What Is the value of X?
Lines cut by a transversal line...

Answer:

Area of rectangular field = 12750 square yards

Width = 150 feet

<< Find the length of the field in yards. >>

Your conversion factor: 3 feet = 1 yard

Width = 150 feet = 150/3 = 50 yards

Therefore,

Area = 12750 = L(50)

where

L = length of field = 12750/50

L = 255 yards

<< What is the length of the field in feet? >>

L = 255 yards * 3 feet/yard

L = 765 feet

< .What is the area of the field in square feet? >>

Since there are 3 feet in 1 yard, then there are 9 sq ft in 1 sq yard. Therefore,12750 sq yards * 9 sq feet/sq yd = 114,750 sq feet

Step-by-step explanation:

Answer:

D) 1/2(2x-6)=-6 = x = -3

Step-by-step explanation:

A. x = 3

B. x = 7/3

C. x = 4

D. x = -3

Solve for x:

(2 x - 6)/2 = -6

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (2 x - 6)/2 = -6 by 2:

(2 (2 x - 6))/2 = -6×2

Hint: | Cancel common terms in the numerator and denominator of (2 (2 x - 6))/2.

(2 (2 x - 6))/2 = 2/2×(2 x - 6) = 2 x - 6:

2 x - 6 = -6×2

Hint: | Multiply 2 and -6 together.

2 (-6) = -12:

2 x - 6 = -12

Hint: | Isolate terms with x to the left hand side.

Add 6 to both sides:

2 x + (6 - 6) = 6 - 12

Hint: | Look for the difference of two identical terms.

6 - 6 = 0:

2 x = 6 - 12

Hint: | Evaluate 6 - 12.

6 - 12 = -6:

2 x = -6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 x = -6 by 2:

(2 x)/2 = (-6)/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

x = (-6)/2

Hint: | Reduce (-6)/2 to lowest terms. Start by finding the GCD of -6 and 2.

The gcd of -6 and 2 is 2, so (-6)/2 = (2 (-3))/(2×1) = 2/2×-3 = -3:

Answer: x = -3

Answer: -9 = a(1 - 3)² + 3

Step-by-step explanation:

Vertex Form Equation:

y = a(x - h)² + k

vertex: (h, k) which means

h = 3

k = 3

because your vertex is (3, 3).

Your point is (1, -9) which is (x, y).

This means

x = 1

y = -9

Now, plug everything into your Vertex Form Equation:

-9 = a(1 - 3)² + 3

That’s your equation and final answer, but of course, if you need to, you can solve for a if you need to.

If a is positive, the parabola opens up. If a is negative, the parabola opens down.

Hope this helps!

Answer:

-23

Step-by-step explanation:

Substitute the value of the variable into the expression and simplify.

Answer:

[tex]a.\ D=\dfrac{1}{5}t[/tex]

b. 20 seconds

Step-by-step explanation:

Let [tex]D[/tex] be the distance in miles and

[tex]t[/tex] be the time in seconds and

[tex]s[/tex] be the speed in miles/sec

Formula for Distance is given as:

[tex]Distance = Speed \times Time\\OR\\D=st[/tex]

Given that:

Distance = 2 miles and

Time = 10 seconds

Putting the values in formula:

[tex]2=s\times 10\\\Rightarrow s =\dfrac{1}{5} \ miles/sec[/tex]

Answer a:

Putting the value of [tex]s[/tex] back in the formula to find the direct variation equation for the relationship between time and distance:

[tex]D=\dfrac{1}{5}t[/tex]

Answer b:

Using the above formula and putting [tex]D=4\ miles[/tex]:

[tex]4=\dfrac{1}{5}t\\\Rightarrow t =\bold{20\ seconds}[/tex]

Answer: how many hours is she working

Step-by-step explanation:

Answer: 19.26

Step-by-step explanation: 7% is $1.26, so just add 1.26 and 18.

Answer:

19.36 dollars is the answer

Step-by-step explanation:

Answer:

x=22.5

Step-by-step explanation:

Answer:

Choice 2 and 4

Step-by-step explanation:

3x-1>2

+1 +1

3x>3

x>1

8-4x<4

-8 -8

-4x<-4

x>1

Answer:

5500

Step-by-step explanation:

Answer: 2 tons

Step-by-step explanation:

Answer: -6

Step-by-step explanation:

Answer:

A) m=7

Step-by-step explanation:

Just divide 98 by 14

Answer:

A is the answer

Step-by-step explanation:

7×14 = 98

Answer:

Step-by-step explanation:

see attached image

Answer:

$153

Step-by-step explanation:

180 * 0.85 = 153

Answer:

n=4 :)

Step-by-step explanation:

40/10=4

Answer:

(one thing to notice, the units of the 16 in the height equation should be ft/s^2, because this is an acceleration)

We know that:

v is the initial vertical velocity, and we know that it is 10ft/s

then:

v = 10ft/s.

s is the initial position, and we know that he starts on a platform 25ft above the pool, then if we define the pool as the 0 in the vertical axis, we have:

s = 25ft

Now we can write the height as:

h(t) = (-16ft/s^2)*t^2 + (10ft/s)*t + 25ft.

Now with this equation, we can find the time it takes for the diver to hit the pool.

Remember that we defined the pool as the 0 in the vertical axis, then when h(t) = 0ft the diver will enter in the pool.

With that, we can find the value of t = time, that it takes for the diver to enter the pool.

h(t) = 0 ft = (-16ft/s^2)*t^2 + (10ft/s)*t + 25ft.

Now we can solve this with the Bhaskara equation:

[tex]t = \frac{-10m/s +. \sqrt{(10m/s)^2 - 4*(25ft)*(-16ft/s^2)} }{-16ft/s^2*2} = \frac{-10ft/s +- 41.23ft/s}{-32ft/s^2}[/tex]

We will have two solutions:

t = ((-10 + 41.23)/-32) s = -0.96s

t = (-10 - 41.23)/-32) s = 1.6 s

The negative has no physical sense, so we can discard that option.

This means that the only correct option is 1.6 seconds, then the time that it takes for the diver to enter the pool after he jumps is 1.6 seconds.

Answer:

250+2300=2350

Answer:

3

Step-by-step explanation:

The Median is the middle number. So, if there are 6 numbers, the middle or half of 6 is 3; therefore, your answer is 3

Answer:

B) 5/4

Step-by-step explanation:

when u multiply

100 x 5/4 you get 125

Answer:

5/4

Step-by-step explanation:

the answer is 5/4

100*5=500

500/4=125

Complete question :

It is estimated 28% of all adults in United States invest in stocks and that 85% of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that 26% of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places. (b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

Answer:

0.929 ; 0.306

Step-by-step explanation:

Using the information:

P(stock) = P(s) = 28% = 0.28

P(fixed income) = P(f) = 0.85

P(stock and fixed income) = p(SnF) = 26%

a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places.

P(F|S) = p(FnS) / p(s)

= 0.26 / 0.28

= 0.9285

= 0.929

(b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

P(s|f) = p(SnF) / p(f)

P(S|F) = 0.26 / 0.85 = 0.3058823

P(S¦F) = 0.306 (to 3 decimal places)

Answer:

A is the answer, i.e at the cost, c of $250.

Step-by-step explanation:

0.08c = 0.05c + 7.5

0.08c - 0.05c = 7.5

0.03c = 7.5

c = 7.5/0.03 = 250

Answer:

1.  x = -3

2.  x = 5

3.  Exact Form:   x = −1/2

Decimal Form:   x = −0.5

Step-by-step explanation:

Answer:

1. -3

2. 2/3

3. 1/2

Answer:

B. No, because one x-value corresponds to two different y-values.

Step-by-step explanation:

Answer:

I believe It's B

Step-by-step explanation:

Answer:

Neptune is 45 million so 1 million difference

Answer:

The answer is c. 8x

[tex]{Hello!\;your\;answer\;is>>>}[/tex]  [tex]\huge\boxed{1.25}[/tex]

[tex]We\;have\;the\;equation\;below...[/tex]

[tex]\boxed{15\;Divided\;By\;12=\;(?)}[/tex]

[tex]The\;number\;equal\;to\;this\;is\;\boxed{1.25}[/tex]

[tex]\boxed{Hope\;i\;helped!}[/tex]

Number equivalent to 15/12 is 1.25 .

Given,

15 divided 12

Using division property,

The rules for division are:

(1) positive × or ÷ positive = positive

(2) positive × or ÷ negative = negative

(3) negative × or ÷ negative = positive

Rule for long division method,

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

Therefore,

divide, multiply, subtract, bring down and repeat or find the remainder.

Here the required value is of :

15/12

=5/4

= 1.25

Hence the answer is 1.25

Know more about division,

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Answer:

-3+x=x+4

Step-by-step explanation:

Pls Mark Brainliest

Answer:

x = -1

Step-by-step explanation:

-3×x = 4+x

-3x-x = 4

-4x = 4

x = 4 ÷ -4

x = -1

Answer:

0

Step-by-step explanation:

If you have 20 apples and you eat 20, and a friend gives you 20 more, and you eat those 20 again, 20-20=0+20=20-20+0

Answer:

{(-8, -7), (4,-2), (2,9),(-8,8)}

Answer:

2.65 I think I am not sure but the solution

Step-by-step explanation:

3x² = 28 - 7

3x² = 21

x² = 7

x = 2.65

Answer:

x = ± [tex]\sqrt{7}[/tex]

Step-by-step explanation:

Given

3x² + 7 = 28 ( subtract 7 from both sides )

3x² = 21 ( divide both sides by 3 )

x² = 7 ( take the square root of both sides )

x = ± [tex]\sqrt{7}[/tex]