Answer:
68
Step-by-step explanation:
Let The first number = X
& the Second one = X + 16
Sum of these two numbers = 120
X + X + 16 = 120
2X = 120 - 16
2X = 104
X = 52
So , the first number = 52
& Second one = 52 + 16 = 68
Answer:
The numbers are 52 and 68.
Step-by-step explanation:
Let x be the first number and y be the second. The question tells us that:
1) x = y + 16
2) (x + y) / 2 = 60
2 equations, 2 unknowns. Solve the system. Plug equation 1 into equation 2:
(y + 16 + y) / 2 = 60
2y + 16 = 120
y + 8 = 60
y = 52
Now plug the value of y back into either original equation. I'll use the first:
x = 52 + 16
x = 68
Can you guys help me
What can you tell about a triangle when given three side lengths?
What can you tell about the relationship between the angles of a triangle and its sides?
Answer:
All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.
Step-by-step explanation:
Which equation represents the formula for the general term, gn , of the geometric sequence 3 , 1 , 1/3 , 1/9 . . .?
Answer:
Explicit
gn = 3(1/3)^(n-1)
Recursive
gn =1/3gn-1
Step-by-step explanation:
3 , 1 , 1/3 , 1/9 . . .
gn = ar^(n-1)
Where,
a = first term = 3
r = common ratio = 1/3
Check:
g2 = ar^(n-1)
= 3(1/3)^(2-1)
= 3/3^(1)
= 1^1
= 1
The explicit formula is
gn = ar^(n-1)
gn = 3(1/3)^(n-1)
The recursive form for a geometric sequence is gn = rgn-1
recursive form for our sequence gn =1/3gn-1
Where,
gn = 3
The incomplete Venn diagram below shows the number of students in a class of 28 who play football and tennis. U F x T U = {all students in the class} F = {students who play football} T= {students who play tennis} Additional information about the class is that 12 students play tennis 15 students play football 8 students play ncither football nor tennis r students play BOTH football and tennis. (1) Complete the Venn diagram above to represent the information, showing the number of students in EACH subset. (3 marks) Calculate the value of x.
Answer:
28=12+15+8+x
28=35+x
35-28=x
x=7
You are going to design a deck or a dock for your cottage. Your deck/dock must be a composite shape made out of 3 shapes - 2 will be "glued” together and 1 will be "cut out” of the other(s). You must use 3 different geometric shapes. Design your deck/dock by including a diagram with
measurements. Make sure your measurements are realistic! You will need material to make your deck/dock so determine the area of your deck/dock so you will know how much material you will need and how much space you will have to use.
5) Michelle and Autumn are at a gift shop. They each buy magnets and postcards. Michelle
buys 4 magnets and 6 postcards and spends $24. Autumn buys 2 magnets and 1 postcard and
spends $8. Which system of equation represents this situation? {2 points}
(4x + 6y = 24
a)
2x + y = 8
(4x + 6y = 8
b)
(2x + y = 24
c)
(4x + 2x = 24
y+by = 8
Answer:it has to be A
Step-by-step explanation:
What is the volume of the triangular prism below?
20 ft
18 ft
15 ft
СА
B
1, 280 ft
1, 320 ft
2, 700 ft
5, 400 ft
OD
Please answer its fill in the blanks
the words are at the bottom
Answer:
1. Grassland
2. grass
3. Temperate grassland
4. prairies
5. steppe
6. tropical grassland
7. savanna
8. intermountain grassland
9. mixed prairie
10. tallgrass prairie
Step-by-step explanation:
Teresa tiene 12 años , su hermano pere tiene 7 y su padre 44. QUANTOS AÑOS TIENE Q PASAR PARA Q LA SUMA DE LAS EDADES DE TERESA Y SPERE SEAN IGUALES
Answer:
Tienen que pasar 25 años para que la suma de las edades de Teresa y Pere sean iguales a la edad de su padre.
Step-by-step explanation:
Dado que Teresa tiene 12 años, su hermano Pere tiene 7 y su padre 44, para determinar cuántos años tienen que pasar para que la suma de las edades de Teresa y Pere sean iguales a la edad de su padre se debe realizar el siguiente cálculo:
12 + 7 = 19
44 - 19 = 25
44 + 25 = 69
(12 + 25) + (7 + 25) = 37 + 32 = 69
Por lo tanto, tienen que pasar 25 años para que la suma de las edades de Teresa y Pere sean iguales a la edad de su padre.
a cylindrical container has a radius of 14 cm and I 20m high .it's curved surface is completely covered with a label . what is the area of the label in cm2 .take pie to be 22/7)
Answer:
The area of the label is 176,000 cm²
Step-by-step explanation:
The given parameters are;
The radius of the cylindrical container, r = 14 cm
The height of the cylinder, h = 20 m
The area covered with the label = The curved surface of the cylinder, A
The curved surface area of a cylinder, A = 2 × π × r × h
π = 22/7
∴ The curved surface area of the cylinder = A = 2 × 22/7 × 14 × 2000 = 176,000
A = 176,000 cm²
∴ The area of the label = The curved surface area of the cylinder = 176,000 cm².
What is the positive square root of 1
You want to find the positive square root of 1
Figure out which number squared (multiplied by itself) equals 1
The number 1 squared equals 1
1^2 = 1 × 1 = 1
So the positive square root of 1 is 1
[tex] \\ [/tex]
#CarryOnLearning!
What does (-3+ -2+ 5)2 equal to
Hey there!
(-3+ -2 + 5)(2)
(-3 - 2 + 5)(2)
-3 - 2 = -5
(-5 + 5)(2)
-5 + 5 = 0
0(2) = 0
Possible answer #1: 0
(-3 + -2 + 5)^2
(-3 - 2 + 5)^2
-3 - 2 = -5
(-5 + 5)^2
-5 + 5 = 0
0^2 = 0 * 0 = 0
Possible answer #2: 0
Overall answer you’re probably looking for is: 0
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
You dont have to tell me the answers for those, just what x equals, please.
1) (2x - 1)3 = 9 commutative 2) 3(1x) = 9
3) 6x - 1 = 9 4) 6x - 3 = 9 distributive
5) 3*2x - 3*1 = 9 distributive 6) 3(1 - 2x) = 9
What is the value of x? How do you know?
Answer:
go to photo math
Step-by-step explanation:
Which of the following best describes the relationship between Angle a and angle b in the image below ( Choose all that apply)
You are correct in selecting "linear pairs" since they form a straight line.
The angles are also adjacent because they're next to each other like that. In fact, "linear pair" means "adjacent and supplementary".
The angles are not complementary because they don't add to 90 degrees. Instead, they add to 180 degrees so that's what makes them supplementary.
The angles are also not vertical angles. They would need to be opposite one another in an X configuration for this to happen. This means vertical angles cannot be adjacent, and vice versa.
2 Answers: Choice B and Choice CAngle a and angle b within the image are the linear pairs of angle within the image below.
What is the angle?It is a direction from which an individual observe something.
How to determine relationship between angles?From the figure we are able to find that angle a and angle b are the linear pair because these are formed when two lines intersect one another at one point. The angles are said to be linear if they're adjacent to every other after the intersection of the 2 lines. The sum of angles of a linear pair is often adequate to 180 degrees.
Hence the angle a and angle b are linear pairs.
Learn more about linear pairs at https://brainly.com/question/2065148
#SPJ2
Franklin races bikes. In his city, there are 44 lengths of race tracks. The chart shows the race tracks and each track's length in miles. Race Track Length in Miles A \frac{1}{4} 4 1 B \frac{3}{2} 2 3 C 1\frac{3}{4}1 4 3 D \frac{4}{4} 4 4 Frankin races 33 laps in the same lane. The total distance he races is more than 4\frac{1}{2}4 2 1 miles. Which track does Franklin race on?
Answer:
51
Step-by-step explanation:
51 is elaginlent to 44 and 33 12 garde things
Can please someone help me
Answer:
1. $40
2. 10 computers
3. 300 miles
Step-by-step explanation:
1. Time between 12:00 and 2:00 is 2 hours, the difference in the money is $10, so the money earned per hour is $5. 5:00 is 3 hours from 2:00, so 25+5*3 is 40, or $40.
2. Time between 1:00 and 3:00 is 2 hours, and the difference in the numbers of computers fixed is 2, so the number of computers fixed per hour is 1. 6:00 is 3 hours from 3:00, so 7+3*1 is 10, or 10 computers.
3. Time between 6:00 and 9:00 is 3 hours and the difference in the distance is 150 miles, so the miles traveled per hour is 50. 12:00 is 3 hours from 9:00, so 150+50*3 is 300, or 300 miles.
Mark is building a sandbox inside a play area. How much play area remains outside of the sandbox?
Answer:125
Step-by-step explanation:
You basically look at the bar graph on the right and see which statement is true. Brainliest and thank you!
Answer:
d. if graphed, the ordered pairs would form a straight line.
the graphs of f(x) =-2x and g(x)=(1/2)^z are shown
Answer:
f(x)-3x+5 and g(x)=4+5 is it true ?Step-by-step explanation:
Question Which of these strategies would eliminate a variable in the system of equations? 2x - y = 11 5x + 3y = -11 How many possible solutions will this system have?
Answer:
Elimination (multiplication and subtraction)
There is 1 solution
Step-by-step explanation:
The only way to solve this system of equations is by elimination (multiplication). Let's say that we want to cancel out the x. You multiply the first equation by 5 and you multiply the second equation by 2.
Your equations now are:
10x-5y=55 and 10x+6y=-22
You can subtract these equations to get -11y = 77.
Now that we know that y = -7, we can substitute y in to solve x.
10x-5(-7) = 55
10x=20
x=2
Final answer (2,-7)
Please please help me
Answer:
The formula is: A = B * H where B is the base, H is the height, and * means multiply. The base and height of a parallelogram must be perpendicular. However, the lateral sides of a parallelogram are not perpendicular to the base.
Step-by-step explanation:
Help plz..And No links!! I repeat No links!!
Answer:
5 more wheelbarrows
Step-by-step explanation:
10-5
what is the value of x.
Helppppppppppp meeeeeeeeeee
Answer:
the value of x°= 20°
explanation is in the picture attached below
hope it is helpful to you
After ordering the data set, what is the next step in drawing a box plot that shows the distribution of the amounts spent? 1. Make a dot plot for comparing. 2. Find the five boundary values. 3. Write a title for the box plot. 4. Plot and connect the end points.
Answer:
2. Find the five boundary values
Step-by-step explanation:
When drawing a dot, the steps are;
i) The data set (the list of numbers to be presented in the dot plot) are arranged in increasing order from left to right, with thee lowest value on the left and the highest value located at the right of the list
ii) The five boundary values are listed as follows;
The Minimum and Maximum Values
1) The minimum value is the lowest number in the list, which is the first number from the left
2) The maximum value is the final number on the right of the list
3) The Median, Q₂
The median number is the number which divides the data arranged in increasing number, into two equal parts
The First Quartile and Third Quartile
The numbers are divided from the median, such that the Lower half is to the left of the Median, and the Upper half is to the right of median
4) The First Quartile, Q₁ = The median of the Lower half
5) The Third Quartile, Q₂ = The median of the Upper half
iii) The box plot is then drawn with the five boundary values found above
What is the value of the expression 9 x 4 - (2 x 1/2)
Answer:
35x
Step-by-step explanation:
Start with parentheses, 2 x 1/2 = 1
9 x 4 = 36
36 - 1 = 35
Deliana thinks she needs to solve 5 ÷ 6. Do you agree with her? Explain why or why not.
Answer:
5 is small 6 is bigger
Step-by-step explanation:
because 6 is bigger and 5 is small than divide
Round 25446 to 1 significant figure
Answer:
30000
Step-by-step explanation:
Which equation(s) have -4 and 4 as solutions?
A. x2 = 8
B. x2 + 16 = 0
C. 2x2 = 32
D. -3x2 = -48
E. 6x2 + 56 = -40
F 27 - 5x2 = -53
Roberto has $20 to buy baseballs for his little league team. Each baseball costs $6. How many baseballs Conan he buy?
Answer:
3
Step-by-step explanation: