Answer:
Game: 1/2 lb; Textbook: 2 lb
Step-by-step explanation:
Let the weights of game and textbook be g and t respectively.
Then 6g + 9t = 21 (pounds), and
8g + 9t = 22 (pounds)
Eliminate the variable t by subtracting the first equation from the second. We get:
2g = 1 (pounds)
Thus, 1 game weights 1/2 lb.
Since 6g + 9t = 21, and g = 1/2 lb,
3 + 9t = 21, or 9t = 18
Then t = 18/9. 1 textbook weighs 2 lb
The Scale on a map shows that 200 is represented by 5 inches on a map .Which proportion can be used to find the distance on the map x, that represents 50 miles? A.) 5/200 = X/50 B.)200/5 = X/50 C.) 50/200 = 5/X D.)5/50 = X/200
Answer:
a
Step-by-step explanation:
just keep the miles on bottom and the inches on top
Sara and Don are considering a $130,000 mortgage for 30 years at 4.8% paid monthly. What is their monthly payment. If they pay the minimum each month what is their total payback of this loan and how much interest will they pay.
Answer:Monthly payment is $682.06
Step-by-step explanation:
Answer:
The formula to calculate the final cost:
C = 130000 x (1 + (4.8/100)/12)^(30 x 12) = 547116.69
Minimum payment each month:
M = 547116.69/(30 x 12) = 1519.77
Interest they have to pay: 547116.69 - 130000 = 417116.69 dollar
Hope this helps!
:)
Jessica has 4/8 of a bottle of Robitussin syrup on hand. The pharmacist instructs Jessica to reduce the syrup by 1/2 so he can prepare a patient’s prescription. How much Robitussin does the pharmacist need to prepare the prescription?
Answer:
2/4 i think but im not sure
Which equation has a constant of proportionality equal to 1
Answer:
Step-by-step explanation:
Is in
QUICK!!
Convert r = 6cscθ to rectangular form.
Answer:
x2+y2−6y=0
Step-by-step explanation:
A cylinder is 20 inches long and has a diameter of 10 inches. What is the approximate volume of the cylinder?
Answer:
V=π(d/2)^2·h
=π·(10/2)^2 · 20
≈1570.79633in³
this is the correct answer!!!
The approximate volume of the cylinder is 1570.796 inches³.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
A cylinder is a geometrical shape has two circular bases which are parallel and they are connected with a curved surface.
Given that,
Height of the cylinder = 20 inches
Diameter of the base = 10 inches
Radius = Diameter / 2 = 10/2 = 5 inches
Volume of the cylinder = π r² h, where r is the radius and h is the height.
Volume = π (5)² (20)
= 500π
= 1570.796 inches³
Hence the volume is approximately 1570.796 inches³.
Learn more about Volume here :
https://brainly.com/question/16134180
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to find the average of a set of numbers, add up all the items and divide by?
Answer:
you add up all of the items and then divide by the total number of items.
Step-by-step explanation:
For example,
Total/Number of Items = Average
Set: 1,6,4,5
(1+6+4+5)/4
16/4 = 4
4 is the average of the items above.
Good luck!!
Use algebraic methods to find as many intersection points of the following curves as possible. Use graphical methods to identify the remaining intersection points.
r = 5 sinθ and r = 5 cosθ
Answer:
Step-by-step explanation:
r =5sin i
r=5 cos i
divide
tan i=1=tan (π/4),tan(π+π/4)
or tan i=tan (π/4),tan(5π/4)
or tan i=tan (2n π+π/4),tan (2nπ+5π/4)
or tan i=tan ((8n+1)π/4),tan((8n+5)π/4)
i=(8n+1)π/4,(8n+5)π/4
where n is an integer.
so we get infinite points of intersection.
The class of 2004 holds a reunion each year. In 2005, 87.5% of the 120 graduates attended. In 2006, 90 students went, and in 2007, 75 students went. About how many students do you predict went to the reunion in 2010
Answer:
15 students
Step-by-step explanation:
% of students attended reunion in 2005 = 87.5% of 120
no of students attended reunion in 2005 = 87.5/100 * 120 = 105.
no of students attended reunion in 2006 = 90
no of students attended reunion in 2007 = 75
So , the series for the given year is
105, 90, 75
we can see that this arithmetical progression series
in arithmetical progression series
common difference is = nth term - (n-1)th term
lets takes 3rd and second term as nth term and (n-1)th term
common difference(d) is =75 - 90 = -15
n th term for any arithmetical progression series is given by
nth term = a + (n-1) d
where a is the first term
n is the nth term
d is the common difference
we have to calculate number of students in reunion of of 2010
as reunion began from 2005
2005,2006,2007,2008,2009,2010
so, 2010 is 6th term in series of 105, 90, 75....
6th term = a + (n-1) d
a is 90
6th term = 90+ (6-1)* -15
6th term = 90+ (5)* -15 = 90 - 75 = 15.
Thus, 15 students will attend reunion of 2010
The length of a box is 18 cm. How long is the box
Answer: 18 cm
Step-by-step explanation:
Length means the same thing as “long” so whatever the length is, that’s how long it is. In this case, 18 cm is the length, so that’s how long it is.
What is the value of x in the equation x - y = 30, when y = 15?
Step-by-step explanation:
x-y=30
then y should be 15
x-15=30
x=30+15
x=45
what’s the answer to this !!
Identify the sequence as arithmetic, geometric, or neither. Justify your answer by trying to describe the pattern (how are they moving from one number to the next).
1, 1, 2, 6, 24, 120,...
Answer:
factorials
Step-by-step explanation:
0!=1,1!=1,2!=2,3!=6,4!=24,5!=120,6!=720,...
sequence is n! starting at 0
need math help please!!
Answer:
3
Step-by-step explanation:
That BD is a bisector means the angles on either side of it are congruent.
9x = 8x +3
x = 3 . . . . . . . subtract 8x
The value of x is 3.
Find the surface area of the pyramid. The side lengths of the base are equal.
17 cm
12 cm
These are
square centimeters.
Answer:
The answer is 204 square cm.
Step-by-step explanation:
You are asking for the surface area, and while calculating the surface area you will multiply the quantities.
Surface Areas: 17 cm multiply 12 cm
17 X 12 = 204
The answer is 204 sq. cm
Answer:
204
Step-by-step explanation:
Can someone help me?
Select the elements in A . A = { x : 1 < x < 50 } ξ = { x : x is a cube number } A 64 B 50 C 1 D 8 E 49 F 27 ?
Hey!!!!
The right answer is 27.
It is cube of 3.
Hope it will help you...
Good luck on your assignment...-Pragya```
Diagram 3 circles Help give u brainly
Answer:
20%
Step-by-step explanation:
2/10 cm are blue.
Question 15 (5 points)
Find the distance between the points (-1/2,-8) and (-1/2,-2).
Answer:
6
Step-by-step explanation:
Since the x coordinates are the same, you only need to find the difference between the y coordinates. -2-(-8)=-2+8=6. Hope this helps!
Rearrange the equation so u is the independent variable.
4u+8w=-3u+2w
w= __
Rearrange the equation so m is the independent variable.
-2m - 5n = 7m - 3n
Answer:
w = 7u/6
u = 6w/7
m = 2n/-9
n = -9m/2
Step-by-step explanation:
4u + 8w = -3u + 2w
4u - 4u +8w = -3u - 4u +2w
8w -2w = -7u + 2w - 2w
6w = -7u
w = 7u/6
u = 6w/7
AND
-2m - 5n = 7m - 3n
-2m -7m -5n = 7m -7m -3n
-9m -5n +5n = -3n +5n
-9m = 2n
m = 2n/-9
n = -9m/2
a mini dvd has a radius of 4 centimeters. there is a hole in the middle of the mini dvd with a radius of 1 centimeter. what is the area of one side of the mini dvd
Answer:
Area of one side of mini DVD = 15π or 47.12 cm²
Step-by-step explanation:
The radius of the mini DVD is;r = 4cm.
Area of a circle = πr²
Thus, Area of mini DVD = π × 4² = 16π
Now,we are told the mini DVD has a hole with a radius of 1 cm.
Area of hole = π × 1² = π
To find the area of one side of the mini DVD, we have to subtract the area of the hole from the area of the DVD.
Thus;
Area of one side of mini DVD = 16π - π
= 15π = 47.12 cm²
PLZ HELP
Which system of inequalities is shown in the graph?
A) 2x + 3y ≤ 5 and -3x + 2y < 6
B) 2x + 3y < 5 and -3x + 2y ≤ 6
C) 2x + 3y ≥ 5 and -3x + 2y > 6
D) 2x + 3y > 5 and -3x + 2y ≥ 6
Raj builds a side table in the shape of a cube. Each edge of the cube measures 30inches. Raj wants to cover the top and four sides of the table with ceramic tiles. Each tile has an edge length of 6inches. How many tiles will we need?
Answer:
deportation
Step-by-step explanation:
deport raj
What is the approximate distance from one corner of the soccer field to the opposite corner? 60 yards, 100 yards. A: 160 yards B: 130 yards C: 126 yards D: 177 yards
Answer:
117 yards
Step-by-step explanation:
A field is in the shape of a rectangle
The distance from one corner of the field to the opposite corner represent the diagonal of a rectangle
The diagonal of a rectangle is calculated using
D^2= l^2 + w^2
Where,
D=diagonal
L=length=100 yards
W=width=60 yards
D^2= l^2 + w^2
=100^2+60^2
=10,000+3,600
=13,600
D^2=13,600
D=√13,600
=116.62 yards
Approximately
117 yards
Answer:
177 yeard d
Step-by-step explanation:
the approximate distance is 177 yeard
plz Help your fav. Marshmello i wasn' t,,,,, xx born yesterday.
Answer:
[tex] \boxed{D. \: x = 5} [/tex]
Step-by-step explanation:
[tex] = > 1 - 2x - 1 = - 10 \\ \\ = > 1 - 1 - 2x = - 10 \\ \\ = > 0 - 2x = - 10 \\ \\ = > \cancel{ - }2x = \cancel{ - }10 \\ \\ = > 2x = 10 \\ \\ = > x = \frac{10}{2} \\ \\ = > x = 5[/tex]
Answer:
the answer is attached to the picture
How much does the granite top on the island weigh, in pounds?
1 lb= 454 grams
Please answer this correctly without making mistakes I want helping hand people to answer this
Answer:
k = 6
Step-by-step explanation:
Since the figures are similar, we can use ratios to solve
4 28
----- = -------
k 42
Using cross products
4 * 42 = 28k
Divide each side by 28
4*42/28 = 28k/28
6 = k
Answer: k = 6mm
Step-by-step explanation:
The shapes are similar, which means that each side on the triangle is proportionally similar to its corresponding side on the other triangle.
We can use proportions to solve for k:
[tex]\frac{4}{28} = \frac{k}{42}[/tex]
4 and k are proportionally similar and 28 and 42 are proportionally similar.
You can then cross-multiply to get this:
28k = 168
k = 6
The missing side is 6 mm long.
After finishing college, Daniel had interviews with SeaWorld and the Central Park Zoo. The probability of receiving an offer from SeaWorld is 35%. The probability of receiving an offer from the Central Park Zoo is 48%. The probability of Daniel getting an offer from both SeaWorld and the Central Park Zoo is 15%.
Determine the probability of receiving an offer from either SeaWord or Central Park Zoo but not both. ____________
Answer:
[tex]68\%[/tex]
Step-by-step explanation:
Let A be the event that Daniel receives call from SeaWorld.
Probability of event A, P(A) = [tex]35\%[/tex]
Let B be the event that Daniel receives call from Central Park Zoo.
Probability of event B, P(B) = [tex]48\%[/tex]
Probability that Daniel receives calls from both SeaWorld and Central Park Zoo:
[tex]P(A \cap B) = 15\%[/tex]
We know that formula:
Probability that Daniel receives call from either SeaWorld or Central Park Zoo but not both:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)\\\Rightarrow P(A \cup B) = 35\% + 48\% - 15\%\\\Rightarrow P(A \cup B) = 68\%[/tex]
Hence, required probability is [tex]68\%[/tex].
Answer:
Step-by-step explanation:
13)
A piece of pipe that is 8 feet long is cut into
ft pieces. How many pieces can be cut from the pipe?
Answer:
22
Step-by-step explanation:
did the test with that question
Answer:
22
Step-by-step explanation:
Including Jose, there are eight people in his family.
If order matters, how many ways can he arrange his family members into a row of five seats if Jose must sit in the first seat?
O 35
O 840
O 1,680
0 2,620
Answer:
840
Step-by-step explanation:
Since the order matters, we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
The first seat is Jose's.
The remaining four are organized among the other 7 members. So
[tex]P_{(7,4)} = \frac{7!}{(7-4)!} = 840[/tex]
So the correct answer is:
840
Answer:
The answer is B on Edge 2020
Step-by-step explanation:
I did the Exam
A total of 484 tickets we’re sold for the school play. They Either adult or student tickets. There were 66 Fewer student tickets sold than adult tickets . How many adult tickets were sold?
Answer:
x + 61 = 411
Step-by-step explanation:
Let x = the number of adult tickets sold
Let x + 61 = the number of student tickets sold
x + x + 61 = 761
2x = 700
x = 350