Answer:
42
Step-by-step explanation:
Given that:
Sample space = {1, 2, 3, 4, 5,6}
Probability of obtaining an odd number in a single roll :
Probability = required outcome / Total possible outcomes
Required outcome = {1,3,5} = 3
Total possible outcomes = 6
P(odd number) = 3/6 = 1/2
Number of odds on 84 die rolls :
1/2 * 84 = 42 times
A fitness instructor purchases exercise bikes and treadmills for two gyms. For the first gym, 2 exercise bikes and 3 treadmills cost $2200. For the second gym, 3 exercise bikes and 4 treadmills cost $3000. How much does a treadmill cost?
The cost is 600$ for each treadmill and 200 for each bike.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, we have,
2 exercise bikes and 3 treadmills cost $2200.
3 exercise bikes and 4 treadmills cost $3000.
solving, we get,
6b+9t=6600
6b+8t=6000
i.e. t=600
Hence, the cost is 600$ for each treadmill and 200 for each bike.
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You deposit 500 in a savings account that earns 9% annual interest compounded monthly. Enter a function that represents the balance y (in dollars) after t years
Answer: y = 500 * ( 1 + 0.75%) ^ (t * 12)
Step-by-step explanation:
Formula for calculating the amount of money in an account as a result of compound interest is:
Balance = Amount * ( 1 + rate) ^ no. of periods
This interest is compounded monthly so has to be converted to a monthly rate:
= 9% / 12
= 0.75%
t is in years so has to be converted as well to months:
= t * 12 months
Function is therefore:
y = 500 * ( 1 + 0.75%) ^ (t * 12)
solve the equation 2[x]>14
Answer:
2x>14
2x÷2>14÷2
X>14÷2
X>7 or X€(7,∞)
Step-by-step explanation:
step 1- divide both sides of the by 2
step 2- any expression divided by itself is 1
A bicycle ramp used for competitions is a
triangular prism. The volume of the ramp
is 313.2 cubic feet. Write and solve an
equation to find the width of the ramp.
Possible student work:
V=Bh
13.4ft
Answer:
8.7 feets
Step-by-step explanation:
As obtained frommthe diagram attached :
Base, b of triangle = 6 feets
Height of triangle, h = 12 feets
Volume of a Triangular Prism is obtained using the relation :
Base Area * Width
Base area of prism :
0.5 * base * height
0.5 * 6 * 12 = 36ft²
Width, w of the ramp =x
Volume, V = 313.2 ft³
V = base area * width
313.2 = 36 * x
313.2 = 36x
x = 313.2 / 36
x = 8.7 feets
Which expression is equal to
сол
(A
5x8
8 x 5
C8= 5
5=8
Which of the following numbers lies between 0.3 and 0.4 ?
Answer:
0.39
Step-by-step explanation:
Un contenedor de 120 lt de capacidad contiene 90 lt de un líquido ¿que porcebtaje de la capacidad del tanque está desocupado
Answer:
25%
Step-by-step explanation:
Paso 1
Calcula la cantidad del contenedor que no estaba ocupado.
Esto se calcula como
Tamaño del recipiente: cantidad de líquido en el recipiente
= 120 lt - 90lt
= 30 litros
Paso 2
El porcentaje de la capacidad del tanque que está desocupado se calcula como:
= Capacidad del tanque que estaba desocupado / Capacidad del tanque × 100
= 30lt / 120lt × 100
= 25%
5. What is the value of x?
(1 point)
60°
X
300
15
153
15
2
53
155
Answer:
x = 15[tex]\sqrt{3}[/tex]
Step-by-step explanation:
tan60 = x / 15 = [tex]\sqrt{3}[/tex] so x = 15[tex]\sqrt{3}[/tex]
How do you simplify (4 – 5) – (13 – 18 + 2) ?
Answer:
2
Step-by-step explanation:
4-5= -1
13-18+2= (-5+2)= -3
-1-(-3)=2
Don't forget your order of operations
P (parenthesis)
E (exponents)
MD (multiplication/division)
AS (addition/subtraction)
Answer:
2
Step-by-step explanation:
use pemdas (parenthesis, exponents, multiplication, division, addition, and subtraction) to solve:
first: 4-5 = -1
second: 13-18+2 = -3
third: (-1) - (-3) = 2
I need help simplifying this equation.
Answer:
6abc
Step-by-step explanation:
In this equation, one is given both variables and constant. One can only combine like terms; variables of the same parameter with other variables of the same parameter, or constant with constants. In this situation, three different variables are given, but two constants are given. One can combine the constant, but one must leave the variables as they are. Thus:
3 * b * 2 * ac
= 3 * 2 * b * ac
= 6abc
Rita drew a scale drawing of a picnic area near the river. The picnic area, which is 135 yards long in real life, is 15 inches long in the drawing. What scale did Rita use for the drawing?
Answer: 1 inch = 9 yards
Step-by-step explanation:
From the question, we are informed that Rita drew a scale drawing of a picnic area near the river and that the picnic area, which is 135 yards long in real life, is 15 inches long in the drawing.
From the above, we can see that for every 1 inch, there are (135/15) = 9 yards. Therefore, the scale used Is:
1 inch = 9 yards
the mod
784 sq. in
28 in
Approximately how much cardboard did he use in all to make the model?
828 square inches
1,092 square inches
О
1,400 square inches
o
2,016 square inches
о
Answer:
Step-by-step explanation:
base = 784 sq in² 28 in tall pyramid
each side of the square base = √784 also equals 28
using the Pythagorean theorem the length of each side of the pyramid from the base to the point is
(side/2)² + height² =( length of the pyramid face)²
(28/2)² + 28² = 196 + 784 = 980 = (face length)²
face length = √980 = 31.3
area of the pyramid = 4 sides × area of each face + the area of the base
= 4×[(1/2)(base)(face length)] + side²
= 4(1/2)(28)(31.3) + 784
= 2537 sq in² Not in the solution set
Find the distance between (5, 9) & (-7, -7). Round to the nearest tenth.
Answer:
20.0 units
Step-by-step explanation:
[tex]\boxed{distance = \sqrt{ {(y1 - y2)}^{2} + {(x1 - x2)}^{2} }}[/tex]
Distance between (5, 9) and (-7, -7)
[tex] = \sqrt{( - 7 - 9)^{2} + ( - 7 - 5)^{2} } [/tex]
[tex] = \sqrt{( - 16)^{2} + ( - 12)^{2} } [/tex]
[tex] = \sqrt{256 + 144} [/tex]
[tex] = \sqrt{400} [/tex]
= 20 units
What is the range of a function and how do you solve for it?
can someone help me with these problems I don't get it very well
this is my answer but you need to check with your teacher
Answer:
25 & 26Complementary angles sum to 90°Angle:
90° - 47° = 43°Find x
2x -3 = 432x = 46x = 2327 & 28Vertical angles are congruentAngle
82°Find y
5y + 12 = 825y = 70y = 1429 & 30Adjacent angles forming a straight line are supplementary and sum to 180°Angle:
180° - 115° = 65°Find n:
4n - 5 = 654n = 70n = 17.531 & 32Angle addition postulate
∠XYZ = ∠XYW + ∠WYZAngle
m∠XYW = 110° - 72° = 38°Find x:
3x + 2 = 383x = 36x = 1233 & 34Complementary and vertical angles (mentioned above)Angle
90° - 35° = 55°Find n:
5n = 55n = 11Pls help me with this text thing i need the answers :O PLS I NEED IT NOW HELP
Answer:
1. d.9
2.
3.
Step-by-step explanation:
that is the only one I know sorry
Identify the functions that have the given property.
The domain is all real numbers for
.
An x-intercept is (pie,0) for
.
The minimum value is –1 for
.
An x-intercept is (pie/2,0) for
.
Answer:
1. both
2. sine
3. both
4. cosine
Step-by-step explanation:
correct on edge
Answer:
1. Both
2. Sine
3. Both
4. Cosine
Step-by-step explanation:
right on edge
Which is the value of x in the equation?
4(x−3)=40
A. 13
B. 14
C. 15
D. 16
Answer:
x=13
Step-by-step explanation:
4(x-3)=40
x-3=40/4
x-3=10
x=10+3
x=13
HOPE THIS HELPS YOU
A triangle has vertices on the coordinate grid at points D (3, -3), E (0,2), and F (-1,-3)
Answer:
4 units
Step-by-step explanation:
A triangle has vertices on the coordinate grid at points D (3, -3), E (0, 2), and F (-1, -3). What is the length, in units, of DF ?
A triangle is a polygon with three sides and three angles.
The distance between two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] on the coordinate plane is given by:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given A triangle with vertices at points D (3, -3), E (0, 2), and F (-1, -3). The length of side DF is given as:
[tex]DF=\sqrt{(-1-3)^2+(-3-(-3))^2}=4\ units[/tex]
1
Carlos starts work at 21 20 and finishes at 06 15 the next day.
Calculate how long Carlos is at work.
Answer:
he's at work for 9 hours 55minutes
Carlos works for 8 hours and 55 minutes.
Given that, Carlos starts work at 21:20 and finishes at 06:15 the next day.
How to read 24 hours clock?A clock or a timepiece is a device used to measure and indicate time. The clock is one of the oldest human inventions, meeting the need to measure intervals of time shorter than the natural units such as the day, the lunar month and the year.
The 24-hour clock is more often shown on digital clocks and is written in a 4-digit form, with the first two digits representing the hour and the last two representing the minutes.
From 21:20 to 06:15 there are 8 hours and 55 minutes.
Therefore, Carlos works for 8 hours and 55 minutes.
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DESIGN Asſa general rule, the number of parking spaces in a parking lot for a movie theater complex varies directly with the number of
theaters in the complex. A typical complex has 30 parking spaces for each theater. A developer wants to build a new cinema complex on a lot
that has enough space for 210 parking spaces. Write the direct variation equation for the number of parking spaces y for x theaters
Answer:
it ia a because i did that on edginuity
Which of the following equations have only one solution? Select all correct answers.
x²-x-6=0
5 x2 + 20 x+ 20 = 0
9x2 - 25 = 0
4x2+4 x=0
12+ 6 x+9= 0
Answer:
The equations which have only one solution is: 5x²+20x+20=0,
Step-by-step explanation:
Answer:
5x^2 + 20x + 20 = 0
12+ 6x +9= 0
Step-by-step explanation:
5x^2 + 20x + 20 = 0 /5 12 + 6x + 9 = 0
x^2 + 4x + 4 = 0 6x = -9-12
(x+2)^2=0 6x = -21
x + 2 = 0 x = -21/6
x=-2 x = -3.5
Use the long division method to find the result when 12x^3+17x^2+12x+4 is divided by 3x + 2.
Answer:
Step-by-step explanation:
not sur
e
Answer: 307 ÷ 24 = 209 ÷ 32 = 456
Step-by-step explanation:
22 x² y–55xy² in factorization
Answer:
[tex]22x^{2} y - 55xy^{2} = 11xy*(2x-5y)[/tex]
3. The material Santiago will use to build the ramp costs $2.20 per square foot. What will the total cost of building the ramp be?
Answer:
262 square feet
Step-by-step explanation:
The required expression model for the cost of the ramp is y = 2.20x.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Let the area of the ramp be x and the cost to build the ramp be y,
According to the question,
The material Santiago will use to build the ramp costs $2.20 per square foot.
Total cost = 2.20 × area of the ramp
Substitute the variable in the above expression,
y = 2.20x
The above equation represents the equation model for the cost of ramp y for the x square foot area of the ramp.
Thus, the required expression model for the cost of the ramp is y = 2.20x.
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the price of a sweater was reduced from $20 to $12 by what percentage has the price of the sweater been reduced
Answer:
The price of the sweater was reduced by 40%.
find lowest common factor multiply of 12 and 36
Answer:
12
Step-by-step explanation:
Let's say that a cell phone provider offers a new phone for $600 with a
$70 monthly plan. Find the equation that represents the average cost of
the phone, C(x), to use for x amount of months.
Can someone please answer this?
Answer:
Total=600+70(x)
The average cost of the phone is C(x) = (600 + 70x)/x.
How to calculate the average?In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.
Given that,
The fixed price of the cellphone is $600.
And, the monthly plan is $70.
Now, the cost of the phone increases with the number of months and the average cost is the total cost divided by the number of months.
As per the question the average cost can be written as,
C(x) = (600 + 70x)/x
Where x is the number of months.
Hence, the average cost of the given phone can be written in terms of the function of month as C(x) = (600 + 70x)/x.
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Which of the following numbers are less than-0.625. The numbers are -8/5 -5/8 -0.5 choose all that apply
Answer:
-8/5 = -1.6
-5/8 = -0.625
-1/2 = --0.5
Step-by-step explanation:
The number that is less then -0.625 is -8/5 which is -1.6
Lin is planting a circular garden of tulips. She plans to plant four different colors in equal amounts. The garden will have a diameter of 24 feet.
Answer:
113 square feet
Step-by-step explanation:
Given
[tex]d = 24[/tex] --- diameter
See attachment for complete question
Required
Determine the area of each color
First, we calculate the area of all colors
[tex]Area = \frac{\pi d^2}{4}[/tex]
This gives:
[tex]Area = \frac{22 * 24^2}{7*4}[/tex]
[tex]Area = \frac{12672}{28}[/tex]
[tex]Area = 452.57[/tex]
Since all 4 colors have equal areas, the area of 1 of them is:
[tex]A = \frac{1}{4}Area[/tex]
[tex]A = \frac{1}{4} * 452.57[/tex]
[tex]A = 113.14ft^2[/tex]
[tex]A = 113ft^2[/tex] --- approximated