An election campaign organizer bought 20,000 buttons to hand out for a candidate. The organizer handed out 14,000 of the buttons before receiving the next shipment of 15,500 buttons. On the day of the election, the organizer handed out another 18,250 buttons. How many buttons were left after the election?

Answers

Answer 1

Answer:

Final answer:

The election campaign organizer started with 20,000 buttons, gave out 14,000, received another 15,500 buttons, and handed out another 18,250. After these transactions, they were left with 3,250 buttons.

Explanation:

To solve this mathematics problem, we need to add the total number of buttons the election campaign organizer had, and then subtract the buttons that were distributed. Initially, the campaign organizer had 20,000 buttons. Out of these, they distributed 14,000, leaving them with 20,000 - 14,000 = 6,000 buttons.

Then, they received a new shipment of 15,500 buttons, increasing their total to 6,000 + 15,500 = 21,500 buttons. On election day, they distributed 18,250 buttons. So, after subtracting this amount, we know that 21,500 - 18,250 = 3,250 buttons were left after the election.

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Answer 2

Answer:

Answer: 3,250

Step-by-step explanation:

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A helicopter hovers 40 ft above the ground. Then the helicopter climbs at a rate of 21 ft/s. Write a rule that represents the helicopter’s height h above the ground as a function of time t. What is the helicopter’s height after 45 s?

Answers

The initial height of the helicopter is 40 ft.

For every second (let's call time as t) he climbs upward, he goes 21 ft.

So we can write height of helicopter as $40+21t$ with respect to t.

In functional notation we can write the height (f(t)) of the helicopter at time (t) as:

$f(t)=40+21t$

To find the height of the helicopter after 45 seconds, we plug in 45 into the equation in place of t to get:

$f(t)=40+21(45)=985$

So after 45 seconds, the height of the helicopter is 985 ft.

ANSWER:

Equation modelling height of helicopter with respect to time: $f(t)=40+21t$
Height of helicopter after 45 seconds is 985 ft.

starts at 40
each second climbs 21 ft
40+21(number of second)

h=40+21t
at t=45
h=40+21(45)
h=40+945
h=985

height is 985
rule is h=21t+40 or h=40+21t

Write the equation for "Three times the difference of -14 and 4 amounts to -54."

Answers

Answer:

3(-14 - 4) = -54

Step-by-step explanation:

We can write the equation using parentheses:

3(-14 - 4) = -54

These parentheses ensure that the subtraction is done first, making the equation true.

If UX=34 and VX=37, what is WX? Write your answer as a whole number or as a decimal rounded to the nearest hundredth. *

Answers

The calculated length of the segment WX is 40.26 units

How to determine the length of the segment WX

From the question, we have the following parameters that can be used in our computation:

The right triangle

Using the ratio of proportional sides, we have

VX/UX = WX/VX

This gives

WX = VX * VX/UX

Substitute the known values into the equation

WX = 37 * 37/34

Evaluate

WX = 40.26

Hence, the length of the segment WX is 40.26 units

Final answer:

Without specific relationships or equations that relate UX, VX, and WX, it is not possible to determine the value of WX with the given values, UX=34 and VX=37.

Explanation:

The question is missing information necessary to accurately determine the value of WX. With the given values, UX=34 and VX=37, we do not have a specific relationship or equation that relates UX, VX, and WX. If there was a relationship or equation provided, such as VX = UX + WX, we could then substitute the known values to calculate WX.

However, without the necessary information, determining the value of WX is not possible. Recheck your problem statement, and make sure all the relevant details are included. Ensuring the question provides all the necessary information from your problem will aid in obtaining an accurate answer.

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What two numbers add to 9 but multiply to -42

Answers

The factors of 42 are 1,42,2,21,3,14,6,7. Non of these add together to get 9. One would have to be positive and the other negative but it still doesn't work.

Hi,

x+y = 9 ⇒ x = 9-y
x·y = -42

(9-y)·y = -42
9y-y² = -42
y²-9y-42 = 0 for a = 1, b = -9 e c = -42

Δ = b²-4ac
Δ = (-9)²-4(1)(-42)
Δ = 81+168
Δ = 249

y₁ = (-b+√Δ)/2a = (-(-9)+√249)/2(1) = (9+√249)/2 = 9/2 + √249/2
y₂ = (-b-√Δ)/2a = (-(-9)-√249)/2(1) = (9-√249)/2 = 9/2 - √249/2

For y = 9/2 + √249/2

x+y = 9
x = 9-y
x = 9-(9/2 + √249/2)
x = 9/2 - √249/2

For y = 9/2 - √249/2

x+y = 9
x = 9-y
x = 9-(9/2 - √249/2)
x = 9/2 + √249/2

Answer:

Numbers: 9/2 + √249/2 and 9/2 - √249/2

Erika and Bradley want to hike the Big Cypress Trail. They will hike a total of 72 milles FErika and Bradley want to hike 16 miles each day, how many days will they hike exadty 16 miles? They will hike exactly 16 miles each day for days.