It 16x = (141)²-(109)², then
the value of x is.
(a). 150
(b). 500
(c). 600
(d). 32​

Answers

Answer 1

Answer:

b) 500

16x = (141)^2 - (109)^2

or, 16x = 19881 - 11881

or, x = 8000/16=500


Related Questions

Hayden will attend a craft show the cost of admission ticket is eight dollars the cost of a raffle ticket for a handmade quilt available only with those admission ticket is five dollars Hayden has $45 what is the greatest number of raffle tickets he can buy

Answers

Answer: 7 tickets

Step-by-step explanation:

First you need to remove the cost of entrance from the $45 that Hayden has:

= 45 - 8

= $37

The $37 is the amount that is left for Hayden to be able to buy tickets for the raffle.

The tickets cost $5 each so the highest number of tickets that can be bought with $37 is:

= 37 / 5

= 7 tickets

A rectangular room is 12-1/2 feet long and 10-1/3 feet wide. What is the area of the room?

Answers

Answer:

the length of room is 24 feet

Step-by-step explanation:

Let the breadth be x .

Then, Length, l = x + 9

According to the question,

Area of rectangle = length × breadth

Putting the values of length and breadth, we get:

360 = ( x + 9 ) x

360 = x² + 9x

x² + 9x - 360 = 0

x² + 24x - 15x - 360 = 0

x( x + 24) - 15(x + 24) = 0

( x + 24 ) = 0 or ( x - 15 ) = 0

x = - 24 or x = 15 [ Negative number is ignored ]  

Now,  

Length, l = x + 9 = 15 + 9 = 24 feet

Thus, the length of room is 24 feet .

2.8t+5.7t= answer plsss

Answers

Answer:7.15t

Step-by-step explanation:

You have to add 2.8t plus 5.7t together

8.5t adding 2.8t+5.7t
5+2 = 7
0.8+0.7 = 1.5

PLS HELP ASAPPPP ILL GIVE BRAINLIEST OR WHATEVER NO LINKS!!!!!!!!!!!!!!!!!!

Answers

1) Power of a Product

2) Power Rule (or Power of a Power)

Answer:

-Number 1 is Power of a Power Property, I think

-Number 2 is Power of a Power Property

I hate using this app because I feel bad but I need help

Answers

Answer:

same i feel bad but im here too

tbh I also feel bad but I need help as well I’m kinda dum but also kinda smart I don’t really like using this app but it helps me sooo

2. Scientists measure a bacteria population and find that it is 20,000. Four days
later, they find that the population has doubled. Which function f could describe
the bacteria population d days after the scientists first measured it, assuming it
grows exponentially?

Answers

Answer:

P(t) = 20,000 * e^0.173287t

Step-by-step explanation:

P(t) = Po * e^k*t

Po = 20,000

t = 4

P(t) = 40,000

40,000 = 20,000 * e^4k

2 = e^4k

ln 2 = ln e^4k

ln 2 = 4k * ln e

ln 2 = 4k

0.173287 = k

John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week

Answers

Given :

John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week.

To Find :

How many weeks will it be before Aiden knows as many songs as john?

Solution :

Let, after x weeks Aiden know a songs and John know j songs.

The linear equation for both the situation is :

a = x + 12       .....( For Aiden )

j = 2x + 4       ......( For John )

We need to find in which week Aiden knows as many songs as John.

For this , a = j

x + 12 = 2x + 4

x = 8

Therefore, in 8th week both of them know the same number of songs.

The area of a square field of side 13 m is​

Answers

Answer:

169 sq m

Step-by-step explanation:

= 13 × 13 = 169 sq m.

a) Change 65 cm to mm.

Answers

Answer

650

explanation:

multiply the length value by 10

9. Order the following from least to greatest:
10-2
10-30 1012
10-12 1030
10-
100

PLZZZZZZZ HELPPP

Answers

10-2=8

10-30=-20

10-12=-2

10-100=-90

8,-2,-20,-90

10-2, 10-12, 10-30, 10-100

---

hope it helps

Ivana's furniture store buys a chair at a wholesale price of $320.00. If the markup rate at Ivana's store store is 40%, what is the total markup in dollars?

Answers

Answer: $128.00

Step-by-step explanation:

From the question, we are given the information that Ivana's furniture store buys a chair at a wholesale price of $320.00 and that the markup rate at Ivana's store store is 40%.

The total markup will then be:

= Markup rate × Price

= 40% × $320

= 0.4 × $320

= $128.00

The shorter leg of a right triangle is two less than the hypotenuse. The longer leg is one less than the hypotenuse. Find all three sides of the triangle. HELP TEST!

Answers

Answer:

x = 5

Step-by-step explanation:

using the Pythagorean theorem:

(x-1)² + (x-2)² = x²

x²-2x+1 + x²-4x+4 = x²

reduce:

2x²-6x+5 = x²

subtract x² from each side:

x²-6x+5 = 0

(x-1)(x-5) = 0

x=1 but because shorter leg would be 0, a triangle would be impossible.

x=5

A. Use this diagram of a right triangle to derive and prove the Pythagorean Identity, based on sin θ and cos θ. Start with what you know about the relationship among a (adjacent side), o (opposite side), and h (hypotenuse). Using the diagram and the labeled components, define sine and cosine. Incorporate these definitions in your equation. In your response, include all steps and calculations.



B. With respect to , the adjacent side of the triangle has a length of 6 cm and the opposite side has a length of 3 cm. Find the value of the hypotenuse . Then, use these values to confirm the Pythagorean Identity for this triangle.

Answers

0x - 12 so she is wrong. 2x hope this helps

Please help me solve this.

Answers

Answer:

0.565

Step-by-step explanation:

hope it helps

have a great day!!

PLEASEEE I need the answer asap

Answers

Answer:

Angle B = 47.3°

Step-by-step explanation:

We are to find Angle B

b = 6.8cm

C = 70°

c = 8.7cm

We solve using Sine rule

b/sin B = c/ sin C

6.8/sin B = 8.7/sin 70

Cross Multiply

sin B × 8.7 = 6.8 × sin 70

sin B = 6.8 × sin 70/8.7

B = arc sin ( 6.8 × sin 70/8.7)

B = 47.26265°

Approximately to 3 significant figures

= B = 47.3°

determine whether the polygon is concave or convex?​

Answers

Answer: Convex

Step-by-step explanation  

The difference between convex and concave polygons lies in the measures of their angles. Another way to think of it is this: the diagonals of a convex polygon will all be in the interior of the polygon, whereas certain diagonals of a concave polygon will lie outside the polygon, on its exterior .Also If the interior angles of of the polygon are less than 180 degrees, then the polygon is convex. But if any one of the interior angles is more than 180 degrees, then the polygon is concave. T∴×∴T that was a lot

Percents! Please answer!!


Answers

Answer:

39%

Step-by-step explanation:

83-last price

83 last price

100 x ?

100 * last price = 83 . x

x= 39

Determine the slope of the line that passes through the points
(4, 4) and (5,0).

Answers

Answer:

B) -1/2

Step-by-step explanation:

Slope is change in y divided by change in x.

So, 6-4/-4-0 = 2/-4 so reduces to -1/2

Answer:

Slope = -4

Step-by-step explanation:

Slope = change in y ÷ Change in x

         [tex]= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{0-4}{5-4}\\\\= \frac{-4}{1}\\\\= - 4[/tex]

Gustave measured his pace and determined that for him, s steps make up one mile. One day Gustave walked 6300 steps, which was 3 miles.

Answers

Answer:

2100

Step-by-step explanation:

6300/3

Help me with this pls

Answers

Answer:

C

Step-by-step explanation:

What is the ratio in simplest form between the length of a side in ABCD and the length of its corresponding side in WXYZ? A. B. C. D.

Answers

Answer:

The Answer would be C) 3/4

Step-by-step explanation:

If you subtract a quarter of the number presented on right left hand on the picture you get the numbers presented on the left hand side of the picture shown. There fore the ratio is 3/4 or three quarters of the already existing number.

Answer:

Step-by-step explanation:

Find the missing side of this right triangle

Answers

Answer:

4, tell me if wrong

Step-by-step explanation:

c² = b² + a²

now, 5x5 = 25

3 x 3 = 9

25 - 9 = [tex]\sqrt{16\\}[/tex]

4

A​ 12-sided solid has faces numbered 1 to 12. The table shows the results of rolling the solid times. Find the experimental probability of rolling a number less than 3

Answers

Answer:

7/12 or 58%

Step-by-step explanation:

Answer:

17/100

Step-by-step explanation:

Find the value of the lettered angles in each of the following ( see image ).

Please show workings.

The only given angles are 60° , 10° , 40°​

Answers

Answer:

Step-by-step explanation:

s + 40 + 60 = 180 {angle sum property}

s + 100        = 180

               s = 180 - 100

               s = 80

This figure is a cyclic quadrilateral. sum of opposite angles are 180

s + v + 60 + 10 = 180

80 + v + 60 + 10 = 180

             v + 150  = 180

                       v = 180 - 150

                      v = 30

y+ 10 + v  = 180 {angle sum property}

    y + 10 + 30 = 180

             y + 40 = 180

                   y = 180 - 40

                  y = 140

       

9514 1404 393

Answer:

  r = 80°, s = 80°, t = 10°, u = 60°, v = 30°

Step-by-step explanation:

Working clockwise from the left side, we can name the points on the circle as A, B, C, D. The given inscribed angles are half the measure of the arcs they intercept, so we have ...

  arc BD = 2×40° = 80°

  arc DA = 2×60° = 120°

  arc CD = 2×10° = 20°

From these measures, we can deduce the measures of the individual arcs as ...

  arc AB = 360° -BD -DA = 360° -80° -120° = 160°

  arc BC = BD -CD = 80° -20° = 60°

Then the angle measures of interest are ...

  r = AB/2 = 80°

  s = AB/2 = 80°

  t = CD/2 = 10°

  u = DA/2 = 60°

  v = BC/2 = 30°

A python snake on display at a pet store is 62 centimeters long. About how many inches long is the snake? Using
complete sentences, explain how you would convert from cm to inches.

Answers

Answer: 62 cm = 24 inch

Step-by-step explanation: one inch is 2.54 cm. you divide 62 cm by

2.54 which is also a conversion factor. You calculate 62 cm/ 2.54 = 24.409 inch

NEED HELP PLEASE !!!!!!

Answers

The slope would be negative

The line x − y = 2 is on a coordinate plane and contains EF, which is one

side of square EFGH. What is the slope of the line that contains FG?

Answers

Answer:

The slope of the line that contains FG is -1

Step-by-step explanation:

Given

[tex]x -y= 2[/tex] --- equation of EF

Required

Determine the equation of FG

First, we calculate the slope of EF

[tex]x -y= 2[/tex]

Make y the subject

[tex]y = x - 2[/tex]

A linear equation has the form:

[tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m = 1[/tex]

In square EFGH, EF and FG are perpendicular.

So, the relationship between their slopes is:

[tex]m_2 = -\frac{1}{m_1}[/tex]

Where

[tex]m_1 = m = 1[/tex] --- slope of EF

The equation becomes:

[tex]m_2 = -\frac{1}{1}[/tex]

[tex]m_2 =-1[/tex]

Rich has t dollars in his checking account. On June 3, he deposited w, h, and v dollars and wrote a
check for k dollars as a payment to electric Bros Inc. Write an algebraic expression that represents
the amount of money in his account after the transactions.

Answers

Answer:

t + w + h + v - k = M, where M is the total amount in his account.

Step-by-step explanation:

Thank goodness they're not trying to get you to solve this, hahaha. They just want you to show you started with t, added the next 3 letters, then subtracted one.

LMK if you have questions.

You want to buy 7 tickets at that same rate. Explain the mathematical process you used to determine the cost of 7 tickets. (Include the unit rate in your explanation)

Answers

Answer:

7x

Step-by-step explanation:

To purchase 7 tickets at the same rate ;

Mathematically, Total Cost of an item is :

Cost = unit price * quantity

Here,

quantity = 7 tickets

Since price per ticket(rate) is the same ; then we can take rate as x

Hence, the cost of the 7 tickets is :

Quantity * rate

7 * x = 7x

The graph of y = |x-6| is in the standard (x,y)
coordinate plane. Which of the following transforma-
tions, when applied to the graph of y = |x|, results in
the graph of y = |x-6| ?
F. Translation to the right 6 coordinate units
G. Translation to the left 6 coordinate units
H. Translation up 6 coordinate units
J. Translation down 6 coordinate units
K. Reflection across the line r= 6

Answers

9514 1404 393

Answer:

  F.  Translation to the right 6 coordinate units

Step-by-step explanation:

Replacing the function argument x with x-6 causes the graph to be translated right 6 units.

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