Answer:
Number is 4
Step-by-step explanation:
.03n = 1
n = 1/.03
.12 x (1/.03) = 4
Tickets for the karaoke talent show sponsored by the Speech Club were priced at $3 for adults and $2 for students. The club treasurer counted 300 tickets sold for a total of $650. Write and solve a system of equations to determine how many adult and student tickets were sold.
Answer:
50 adults and 250 students tickets were sold
Step-by-step explanation:
Given data
Let the number of adults be x and students be y
3x+2y=650------1
x+y= 300---------2
from 2
x= 300-y
put the value of x in 1
3(300-y)+2y= 650
900-3y+2y= 650
900-y= 650
900-650= y
y=250
put the value of y in 2
x+250= 300
x= 300-250
x= 50
Hence 50 adults and 250 students tickets were sold
A quantity with an initial value of 380 decays exponentially at a rate of 1% every 4 hours. What is the value of the quantity after 174 minutes,
Answer:
377.24
Step-by-step explanation:
HELP URGENT
sorry for the quality
Find the height of a cone with a diameter of 12 m and whose volume is 133 m.
A. 2 m
B. 9 m
C. 3 m
D. 1 m
Answer:
D
Step-by-step explanation:
Here, we want to get the height of the cone
radius = diameter/2
r = 12/2 = 6 m
To get this, we use the formula for the volume
V = 1/3 * pi * r^2 * h
133 = 1/3 * 3.142 * 22/7 *6^2 * h
h = 1.12 m
y is inversely proportional to the cube root of x
When y = 2500, x = 64
(a) Find the value of y when x = 8
(b) Find the value of x when y = 2000
Answer:
b) Find the value of x when y = 2000
find. the value of y when x 8
Consider the equation 4•e^2.7x = 33
Solve the equation for x. Express the solution as a logarithm in base-e.
x ≈
Approximate the value of x. Round your answer to the nearest thousandth.
x≈
Answer:
[tex] \huge x = ln( \frac{33}{4} ) \times \frac{ 10}{27} \\ \huge \: x \approx 0.782[/tex]
Step-by-step explanation:
to understand thisyou need to know about:logarithmPEMDASlet's solve:[tex]4 {e}^{2.7x} = 33 \\ {e}^{2.7x} = \frac{33}{4} \\ 2.7x = ln( \frac{33}{4} ) \\ x = ln( \frac{33}{4} ) \times \frac{ 10}{27} \\ x \approx 0.782[/tex]
An equation is formed of two equal expressions. The value of x is 0.7815.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation 4•e^2.7x = 33 can be solved for x as,
[tex]4\cdot e^{2.7x }= 33\\\\ e^{2.7x }= \dfrac{33}{4}\\\\\text{Taking anti-log}\\\\2.7x = ln\frac{33}{4}\\\\x = ln(\dfrac{33}{4}) \times \dfrac{1}{2.7}\\\\x=0.7815[/tex]
Hence, the value of x is 0.7815.
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pls, help im in middle school not high school please answer these two questions.
200+200,000=200,200
Step-by-step explanation:
1/10 of 2000 is 200 pounds. 200 Pounds of cheese
100 times more lettuce than beef. 200,000 Pounds
Answer:
Lettuce:20 lbs, Cheese:200 lbs
Step-by-step explanation:
Divide. If 1 tenth of the beef is cheese, divide by 10.If 1 hundredth of the beef is lettuce,divide by 100. 2000/10 Is 200, 2000/100 is 20.
A local contractor was hired to build a shed. The shed was to be 6 metres wide by 8
metres long. He showed up on Monday morning to build the shed. When the
homeowner came home after work on Monday the four walls of the shed were in
place, but they did not look even. How could the homeowner check that the walls
were in fact square?
Answer:
use a tape messure and measure it lol sorry i just had to do it
Step-by-step explanation:
An inequality is shown below.
-5x < 60
What is the solution?
Oxs 65
O x>-12
O x 65
Oxs-12
o
Answer:
-5x<60 divide both side by -5
x>-12
Find the area of this composite figure.
Answer: ≈30.28 m²
All the work is shown in the picture.
What benchmark would you round the following number to?*
3
4/6
Answer:
4 because it is 3.6666666
Find f(g(3)) given:
*
f (x) = 2x2 – 1
g(x) = 3x
h(x) =
j(x) = x - 5
Answer:
161
Step-by-step explanation:
Given the functions
f (x) = 2x^2 – 1
g(x) = 3x
we are to find f(g(3))
First look for the composite function f(g(x))
f(g(x)) = f(3x)
f(3x) = 2(3x)² - 1
f(3x) = 2*9x² - 1
f(3x) = 18x² - 1
f(g(x)) = 18x² - 1
Substitute x = 3 into the result
f(g(3)) = 18(3)² - 1
f(g(3)) = 18*9- 1
f(g(3)) = 162-1
f(g(3)) = 161
Hence f(g(3)) is 161
a right rectangular prism has a square base with a side length of 3 inches. the height of the prism is 81/4 inches. what is the volume of the prism
Answer:60 3/4
Step-by-step explanation:you multiply 81/4 times 3 and get 243/4 so you divide 243 divided by 4 and the answer is 60 3/4
10. A medium pizza at Danny's Pizza costs $13.60 plus $2.50 for each topping. At Nicki's Pizza, a medium pizza costs $14.60 plus $2 for each topping. Which statement is true regarding the price of a medium pizza at the two pizza restaurants?
Answer:
D
Step-by-step explanation:
please explain for me how to do this
if the measure of arc WZX is 262 what is the measure of angle XWY?
Answer:
Hey we go to the same schoola and have the same class so thats cool. Also i think it might be the reverse of what we did on question five where we divide the measure of the arc by two instead of multiplying the angle by two to get the arc. If this is true then our answer will be 49*
Step-by-step explanation:
Find the slope of the line
y=-7x - 2
Answer:
-7
Step-by-step explanation:
Hi there!
In the form y=mx+b
M is equal to your slope
B is equal to your why intercept
If you have any of these questions in the future just look at m!
-7 means the point goes down seven and one to the right!
Hope this helps!
Have a wonderful day :)
Answer:
-7
Step-by-step explanation:
y = mx+b
m = slope
b = y-intercept
y = (-7)x-2
m = -7
Please help and please I need help:)
Answer:
16 eighteenths
Step-by-step explanation:
Answer:
16 eighteens fit into [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
in order to find out how much eighteenths are the in [tex]\frac{8}{9}[/tex]. we just have to divide [tex]\frac{8}{9}[/tex] by [tex]\frac{1}{18}[/tex]. So we get...
[tex](\frac{8}{9}) /(\frac{1}{18}) = (\frac{8}{9})(18) = \frac{144}{9} = 16[/tex]
Solve the equation.
1.5x + 6 = 18
Solve the equation for x. If necessary round to the nearest tenth.
x² = 17
X=
+
Answer:
x = 4.1 & x = −4.1
Step-by-step explanation:
[tex]x^2 = 17\\[/tex]
x = ±√17
x = √17, −√17
x = 4.1 & x = −4.1
6 ft
3 ft
6 ft
15 ft
Find the area of the figure above.
Answer:
15ft
Step-by-step explanation:
if you mean the area that is blank
(Tell me if i'm wrong)
Answer:
the answer would be 90 because the big triangle is 72 and the rectangle is 18
A scuba diver dove 40 feet below the surface. He swam up 12 feet to see a unique fish. He followed the fish down 8 feet. Then he followed the fish up 27 feet. How far below the surface is the diver now?
Answer: 9 feet below the surface.
Step-by-step explanation:
The scuba diver starts 40 ft below the surface. We can represent the position of the scuba diver as:
Position = -40ft
Where the negative sign is because it is below the surface of the water, so
"He swam up 12 feet to see a unique fish."
Now we need to add 12ft
Then his new position is:
Position = -40ft + 12 ft = -28ft
"He followed the fish down 8 feet.
Now we need to subtract 8ft
His new position is:
Position = -28ft - 8 ft = -36 ft
"Then he followed the fish up 27 feet."
Now we add another 27 ft.
The final position will be:
Position = -36ft + 27ft = -9ft
Then the final position of the scuba diver is -9ft, that means that he is 9 feet below the surface.
In ΔSTU, the measure of ∠U=90°, TS = 41, UT = 9, and SU = 40. What is the value of the sine of ∠S to the nearest hundredth?
Answer:
Step-by-step explanation:
sinS = 9/41 ≅ 0.22°
Each supply bin has 4 bottles of glue and 3 pairs of scissors. What is the ratio of total supplies to bottles of glue?
Answer:
7 : 4
Step-by-step explanation:
Can someone help me with these 2 questions?
Possible Answer:
1. I understand that when graphed, a quadratic function has the shape of a parabola.
2. I have a question about the quadratic function when graphed. The lines can point up or down, but why can't the function go left or right?
Step-by-step explanation:
These are just possible answers, everyone else can have different things, especially the second question.
A group of friends were working on a student film that had a budget of $1300. They used $546 of their budget on props. What percentage of their total budget did they spend on props?
Answer:
42% is the right answer
Step-by-step explanation:
Can someone help me with this?
9514 1404 393
Answer:
x = 10y = 7.5Step-by-step explanation:
The ratio of the larger to the smaller corresponding sides is ...
12.5/5 = 2.5
That means ...
x = 2.5 × 4 = 10
y = 2.5 × 3 = 7.5
need help asap 20 points. thank u in advance
Answer:
$50 and $6
Step-by-step explanation:
(x-6)(250-5x)=0
250x - [tex]5x^{2}[/tex] - 1500 + 30x = 0
-5x^2 + 280x - 1500 = 0
(divide everything by -5)
x^2 -56x + 300 = 0
(factorise)
(x-50)(x-6)=0
x=50, x=6
A restaurant needs to build a wheelchair ramp for its customers. The angle 2 of elevation for a ramp is recommended to be 5 degrees. If the vertical distance from the sidewalk to the front door is two feet, what is the horizontal distance that the ramp will take up? Round your answers to the nearest hundredth. * O a) 22.9 ft O b) 26.4 ft O c) 22.8 ft O d) 22.2 ft
Answer:
Step-by-step explanation:
An escalator at a shopping center is 200.75 feet long and rises at an angle of 15⁰. What is the vertical rise of the escalator? Round to hundredths place
The horizontal distance that the ramp will take up is a) 22.9 ft.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, The vertical or opposite distance is 2 feet and it has an angle of 5°.
∴ The horizontal or adjacent distance can be obtained by tan(theta).
Assuming horizontal distance to be x feet.
∴ tan(5°) = 2/x feet.
x = 2/tan(5°).
x = 22.9 feet.
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53.53x 10 power of 2
Work out the area of a square with base = 1cm
Answer:
the area of the square is 1cm^2
Step-by-step explanation:
The computation of the area of the square is given below:
As we know that
Area of the square = side^2
Also in the square four sides are equal
So
= 1cm^2
= 1cm^2
hence, the area of the square is 1cm^2