Jana wants to buy a notebook for $5.00. The sales tax is 7%. How much is she going to pay for the notebook including tax.

Step-by-step explanation:

Total number of people =3000

Let

the number of fans=17x

The number of staff=3x

[tex]{:}\longrightarrow[/tex][tex]\sf 17x+3x=3000 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 20x=3000 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {3000}{20}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=150 [/tex]

500 more fans arrived

Now the new ratio=

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {3150}{450}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {1575}{225}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {315}{45}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {63}{9}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {7}{1}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 7:1 [/tex]

[tex]\therefore[/tex]New ratio of fans to staff is 7:1.

Answer:

1.04

Step-by-step explanation:

6.24 divided by 6= 1.04

6 goes into the 6, 1 time

6 goes into the .24, .04 times

Answer:

8,030.4

Step-by-step explanation:

Answer:

$287.04

Step-by-step explanation:

add 39 and 9 multiply the sum by $23.90 and then multiply by two and boom, $287.04

Answer:

is 13 giv brainliest PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Step-by-step explanation:

Answer:

70¢

Step-by-step explanation:

$8.40/12 bars equals $0.70

Answer:

20cm Perimeter: 90

Step-by-step explanation:

Hope this helps!(^-^)

Step-by-step explanation:

area of rectangular sheet is 500 CM square

length =25cm

area =l×b

500cm2=25cm×b

500cm2÷25cm=b

20cm=b

b=20cm

again,

perimeter =2(l+b)

perimeter =2(25cm+20)

perimeter =2×45

perimeter =90cm

Answer:

it will travel 50 km

Step-by-step explanation:

175/3.50 equals 50

Answer:

$16,525.53.

Step-by-step explanation:

A=Pe^rt

P=$12,000

r=0.04

t=8 years

Answer: 49/120kg

Step-by-step explanation:

7/8•7/15 = 49/120

Answer:

97 boxes

Explanation:

4,830÷50= 96.6

You then have to round 96.6 up and you get 97.

To check your answer:

97×50= 4,850

Even though having 97 boxes leaves more room for envelopes, having 96 boxes will leave all the boxes full with remaining envelopes. 96 boxes isn't enough for 4,830 envelopes.

Answer:

there are 114

Step-by-step explanation:

Ratio of red marbles to black marbles is 19:1. (Data from 3rd sentence)

19+1= 20

20 units= 120 (Data from 1st sentence)

1 unit= 120/20= 6

19 units= 120-6= 114 (Values solved in working above)

Ans: There are 114 red marbles.

Answer:

101

Step-by-step explanation:

Answer:

Domain

[tex]x\in [0\,s,30\,s][/tex]

Range

[tex]h \in [0\,ft,330\,ft][/tex]

The h-Intercept represents the initial height of the balloon. The balloon has an initial height of 330 feet.

The x-Intercept represents the time when the balloon reaches the ground. The balloon takes 30 seconds to descend and reach the ground.

The slope represents the ratio of the change in the elevation of the balloon to the change in time. A slope of -11 means that balloon descends 11 feet per second.  

Step-by-step explanation:

Both the time (domain), measured in seconds, and the height (range), measured in feet, are positive variables. The hot air balloon start at a height above and descends to the ground. Which means that domain and range of the function are, respectively:

Now we find the upper bound of the height of the hot air balloon. If we know that [tex]t = 0\,s[/tex], then the upper bound is:

[tex]h(0) = -11\cdot (0)+330[/tex]

[tex]h(0) = 330\,ft[/tex]

Range

[tex]h \in [0\,ft,330\,ft][/tex]

Now we find the upper bound of time. If we know that [tex]h = 0\,ft[/tex]. then the upper bound is:

[tex]-11\cdot x +330 = 0[/tex]

[tex]11\cdot x = 330[/tex]

[tex]x = 30\,s[/tex]

Domain

[tex]x\in [0\,s,30\,s][/tex]

The h-Intercept represents the initial height of the balloon. The balloon has an initial height of 330 feet.

The x-Intercept represents the time when the balloon reaches the ground. The balloon takes 30 seconds to descend and reach the ground.

The slope represents the ratio of the change in the elevation of the balloon to the change in time. A slope of -11 means that balloon descends 11 feet per second.  

Answer:

-2

Step-by-step explanation:

Lets factor

(x+2)(x+2)=0

x=-2

Answer:

Step-by-step explanation:

3x + 3

6 + 2x

3x + 2x = 5x

3 + 6 = 9

5x + 9

Answer:

24000

Step-by-step explanation:

Answer:

y = -10/3x - 17/3

Answer:

Travis estimated the product of 602 and 341 to be 1,800. His work is shown below. Find and explain Travis's error. 600×300 6 hundreds × 3 hundreds =18 hundreds 600×300=1,800 b. Margaret said the exact product of 602

Step-by-step explanation:

i hoped it was right!

Answer:

15 is 25% of 60

Step-by-step explanation:

15 x 4 = 60

25% x 4 = 100%

Answer:

I think that might be 60

Step-by-step explanation:

Step-by-step explanation:

2.9 hours = 174mins

174 mins = 4.9miles

1 miles = 1740/49 mins

8.73 miles = 310.0mins (1dp)

Topic: Rate & Proportions

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer:

Step-by-step explanation:

The equation of shifted function y = ax² is y = a(x-h)²+k, where h tells us how many units we move left (h<0) or right (h>0) and k tells how many units up (k>0) or down (k<0)

y = x² - 20 = 1(x - 0)² + (-20)   ⇒  k = -20<0

So it's shifted 20 units down.

Answer:

x = 5

Step-by-step explanation:

see attachment

Answer

No

Step-by-step explanation:

it is not a function because 9 and three are a pair but so are 27 and 3. that makes it not a function

No, the given relation is not a function. A function is a connection between inputs in which each input is connected to precisely one output.

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co-domain, and domain for every function.

Given, a table where points are denoted as inputs and outputs.

To prove the relation is a function:

A relation between a collection of inputs and outputs is known as a function.

A function is a connection between inputs in which each input is connected to precisely one output.

But here, input value of 3 have two outputs.

Which gives us contradiction.

Therefore, a given relation is not a function.

To learn more about the function;

brainly.com/question/28303908

#SPJ2

-18-64n

= (-2)×9 + (-2)×32n

Take (-2) common, we get

= (-2)( 9+32n)

Therefore,

-18-64n = (-2)(9+32n)

Answer:The other guy is right since this is a old question i wont answer it :P

Step-by-step explanation:

33480783

Finding the Common Ratio:

We know that the formula for the common ratio of a GP is:

r = aₙ / (aₙ₋₁)        (Where n is any integer)

replacing the values, taking n=2

r = -21 / 7

r = -3

Solving for the 15th Term:

We know that the Formula for the nth term of a GP:

G(n) = a * r ⁿ⁻¹     (where a is the first term and r is the common ratio)

replacing the values (taking n = 15 since we need the 15th term)

G(15) = 7 * (-3)¹⁴

G(15) = 33480783

Hence, the 15th term of the given GP is 33480783

Step-by-step explanation:

A formula that allows you to rewrite a logarithm in terms of logs written with another base. This is especially helpful when using a calculator to evaluate a log to any base other than 10 or e. Assume that x, a, and b are all positive.