A hot air balloons height varies directly as the balloons ascents the time in minutes. A hot air balloon rises at 350 feet in five minutes. Write a direct variation equation.

Answers

Answer 1

Answer:

h α t

h = kt

k = h/t

350 = k5

350/5 = k

k = 70

Step-by-step explanation:

Given that :

Ballon height varies directly as the Ascent time in minutes

Height of hot air Ballon rises 350 feets in 5 seconds

Expressing as a direct variation :

Let height of Ballon = h

Time it takes to rise = t

h α t

h = kt

k = h/t

350 = k5

350/5 = k

k = 70


Related Questions

Find an ordered pair (x, y) that is a solution to the equation. -x+4y= 5​

Answers

The pair in the equation is (0,5)

Work out the area of the trapezium ABDE.
9 cm
6 cm

Answers

Answer:DE = 4

AB = 30

Step-by-step explanation:

Answer:

30cm²

Step-by-step explanation:

AE/BD = CE/CD

9/6 = CE/8

CE = 9/6 x 8

CE = 12cm

DE = CE - CD

DE = 12 - 8 = 4 cm

½(6 + 9)4 = 30cm²

help with this question!

Answers

Answer:

y=4x

Step-by-step explanation:

a proportional relationship has to cross through the origin and all of the other answers have y intercepts and if it has a y intercept then it will not pass through the origin.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

Answers

Answer:

Step-by-step explanation:

2

Answer:

4

Step-by-step explanation:

Slope is rise over run, but you can also find the slope between two points with this formula:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

12-4=8

----------

6-2=4

8/2=4

CD is a median of triangle ABC and M is the
centroid. If CM = x +5 and CD = 5x + 1,
what is the value of x ?

Answers

Answer: a) [tex]\dfrac{13}{7}[/tex]

Step-by-step explanation:

Median: Line segment from one vertex of a  triangle to the midpoint of the opposite side. i.e. it bisects the opposite side.

Centriod: Point of intersection of a triangle of its medians

.Also, it is [tex]\dfrac23[/tex] of the distance from vertex to the midpoint of opposite side.

Given:  CD is a median in triangle ABC and M is centriod.

[tex]\Rightarrow CM=\dfrac23 CD[/tex]

Since CM = x +5 and CD = 5x + 1

[tex]\Rightarrow\ x+5=\dfrac{2}{3}(5x+1)\\\\\Rightarrow\ 3(x+5)=2(5x+1)\\\\\Rightarrow\ 3x+15=10x+2\\\\\Rightarrow\ 10x-3x=15-2\\\\\Rightarrow\ 7x=13\\\\\Rightarrow\ x=\dfrac{13}{7}[/tex]

Correct option is a)

Imagine that you are given the graph of a brand new parent function, y = P(x), that you have never seen before. You are then asked to graph y = P(x) + 3. Explain how you would go about graphing this new function.

Answers

Answer:

You would move each point on y=P(x) up by three. Or add 3 to each y coordinate

Step-by-step explanation:

This is because we're not manipulating the value of x before it gets multiplied by P.

For example:

If x is set to equal 5 and P equal to 2, then the parent function would have a coordinate of (5,10) since 2(5)=10 but the new function would have a coordinate of (5,13) since 2(5)+3= 13 due to order of operations (2×5 =10, then we add 3).

Answer:

Step-by-step explanation:

Step 1:

Plot y=P(x) from x=-a to x=a with x=0 as the middle point of the distance between a and -a.

Step 2:

Add the value of +3 to each point of y=P(x), ie, y=P(x)+3 meaning that the graph y=P(x) will be pulled up three units on the y axis.

helpppppppppppppppppppppppppppp

Answers

Answer: i know p4 but what does the first q say?

Step-by-step explanation:

Answer:

2nd one

Step-by-step explanation:

-98 = 7t
What does t equal

Answers

Answer:

t = -14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-98 = 7t

Step 2: Solve for t

Divide 7 on both sides:                    -14 = tRewrite:                                             t = -14

Step 3: Check

Plug in t into the original equation to verify it's a solution.

Substitute in t:                     -98 = 7(-14)Multiply:                               -98 = -98

Here we see that -98 is equal to -98.

∴ t = -14 is the solution to the equation.

t = -14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality

Division Property of Equality

Addition Property of Equality

Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-98 = 7t

Step 2: Solve for t

Divide 7 on both sides: -14 = t

Rewrite: t = -14

Step 3: Check

Plug in t into the original equation to verify it's a solution.

Substitute in t: -98 = 7(-14)

Multiply: -98 = -98

Here we see that -98 is equal to -98.

∴ t = -14 is the solution to the equation.

Can somebody help me?

Answers

Answer:

Step-by-step explanation:

if 8% is 80 then 10% is 100 and 10 multiplied by 100 iss 100. so 1,000 readers. i might be wrong tho

If a woman get 7000 dollars for every 3 hour how much will she make for 81 hours

Answers

Answer:

567000 dollars

Step-by-step explanation:

Straightforward if 7000 for 3 hours then 3*27=81 and 7000*81=567000

189000 I think .. maybe

When plotting points on the coordinate plane below, which point would lie on the y-axis??

Answers

Answer:

the second number

Step-by-step explanation:

EX:  ( -3, 2 ) the 2 would lie on the y axis because its the second number the x axis always comes 1st and the y axis 2nd

what is the slope of (-6, 10) and (0, -5)

Answers

Answer:

[tex]\frac{-15}{6}[/tex]

Step-by-step explanation:

[tex]\frac{-5-10}{0-(-6)}[/tex]

[tex]\frac{-15}{6}[/tex]

The scale of a map is 2 cm:15 kom. Find the actual distance for each map distance.
1. 6cm 2.5 cm 3. 13.2 cm

Answers

Answer: 6 cm is 45 km

5 cm is 7.5 km

Step-by-step explanation:

46 + (-2k) a. for k =3 b.for k = 23 k = -2

Answers

9514 1404 393

Answer:

  a.  40

  b.  0

  c.  50

Step-by-step explanation:

a) 46 + (-2k) for k = 3 is ...

  46 + (-2(3)) = 46 -6 = 40

__

b) 46 + (-2k) for k = 23 is ...

  46 + (-2(23)) = 46 -46 = 0

__

c) 46 + (-2k) for k = -2 is ...

  46 + (-2(-2)) = 46 +4 = 50

PLEASE HELP ME PRONTO!!!!!! Kanisha cut purple paper strips for her scrapbook. She cut a 7 and 1/2
-inch strip from a 14-inch strip. What is the length in inches of the strip that remains?

Answers

Answer
6 and 1/2
Work
14-7 and 1/2= 6 and 1/2

Write an equation in point-slope form of the line having the given slope that contains the given point. then graph the line

(dont think u can graph so its okay)

Answers

Answer:

The line of the equation in the point-slope form of the line passing through the point (4, -2) and having slope 2 will be:

[tex]y+2=4(x-4)[/tex]

Please check the attached graph.

Step-by-step explanation:

Given

The slope m = -2The point (4, -2)

Point slope form:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

m is the slope of the line(x₁, y₁) is the point

In our case:

m = 4

The point (x₁, y₁) = (4, -2)

substituting the values m = 4 and the point  (x₁, y₁) = (4, -2)  in the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - (-2) = 4(x-4)[/tex]

[tex]y+2=4(x-4)[/tex]

Thus, the line of the equation in the point-slope form of the line passing through the point (4, -2) and having slope 2 will be:

[tex]y+2=4(x-4)[/tex]

Please check the attached graph.

hru im in an amazing mood help meeeeeeeeeeeee plzzzzzzzzzzzz

Answers

Answer:

I think its A

Step-by-step explanation:

it’s A
hope this helped

Round 72.5 to the nearest hundredth

Answers

Answer:

73

Step-by-step explanation:

Howie bought 4 binder for $2.14 each, a pack of pencils for $1.25, and a new coat for $19.95. How much money did Howie spend altogether? A. $23.34 B. $27.34 C. $28.66 D.$29.76

Answers

Answer:

A. $23.34

Step-by-step explanation:

The computation of the amount of money spend altogether is given below:

= Purchase price of 4 binder + pack of pencils + new coat

= $2.14 + $1.25 + $19.94

= $23.34

We simply added the above three cost so that the total money incurred would be come

Hence, the correct option is A

use rounding to estimate 10 4/5 + 8 9/10

a. 20
b.19
c.18
d.19 1/2

Answers

I think answer should be d. Please give me brainlest I hope this helps let me know if it’s correct or not okay thanks bye
Answer:
a.20

Explanation:
10 4/5 rounded is 11
8 9/10 rounded is 9
11 + 9 = 20

The WNBA champions have a twelve-player roster that includes two superstars. If a group of five starting players for this team must include the two superstars, how many different groups of five starting players are there?

Answers

Answer:

120 groups

Step-by-step explanation:

Total number of players = 12

Number of superstars = 2

To select a group of 5 players that MUST include the two superstars can be done in how many different ways?

Since the two superstars must always be in the 5 player team

Number of players left to choose = 5 - 2 = 3

Number of players from which selection is to be made = 12 - 2 = 10

Hence, the number of ways of choosing 3 players from 10 ; 10C3

Recall ;

nCr = n! / (n-r)!r!

10C3 = 10! ÷ (10-3)!3!

10C3 = 10! ÷ 7!3!

10C3 = (10*9*8) / (3*2*1)

10C3 = 720 / 6

10C3 = 120 groups

PLEASE HELP ME OUT !!
create a table for y=-3x + 1

Answers

X. Y
0. 1
1. -2
2. -5
3. -8

What is the measure of x and y?

Answers

Answer:

x=80 and y=30

Step-by-step explanation:

HOPE THAT HELPS!!!!!!!

Mya’s roof was leaking, so she needed money fast. She borrowed $12,000 from the bank for repairs. It is a 5-year loan, and she is being charged simple annual interest at a rate of 7.5%. How much interest can Mya expect to pay over the life of this loan?

Answers

Answer:

Step-by-step explanation:

Find the slope of the line through
the points (-2, 1) and (0,4).
Asap taking a test!!!

Answers

Answer:

m= 3/2

Step-by-step explanation:

Sara has 24 muffins, which he needs to box up
into dozens. How many boxes does she need?

Answers

Answer:

2 boxes

Step-by-step explanation:

1 dozen = 12

24 divided by 12 = 2!

Answer:

S/he needs 2 boxs

Step-by-step explanation:

24/12=2


What is the equation?
3.7 = 5x + 12.2

Answers

Answer:

x= -1.7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x = -1.7.

Step-by-step explanation:

3.7 = 5x + 12.2

Subtract 3.7 from both sides:

0 = 5x + 12.2 - 3.7

0 = 5x + 8.5

Subtract 5x from both sides:

-5x = 8.5

x = 8.5 / -5

x = -1.7.

what is the remainder when (5x4 + 3x3 - 2x2 + 7x + 4) ÷ (x + 2)?

A. 38
B. 2
C. -2
D. 24

Answers

Answer:

A

Step-by-step explanation:

The answer is A.)38 using polynomial division

Please answer this last question

Answers

Answer:

the answer would be 1/18

plz helpppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

D is the answer . . .

Answer:

d.....hope this will help u:))

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