The weight Isaac and his workout partner lifting when they both lifting the same amount, after the 1 set and the weight they be lighting is 10 kg.
What is an unknown variable?Unknown variables are used to find the unknown values of the problem using the algebraic expressions.
To find the values of unknown quantity, the statements of a problem is converted in the algebraic equation form using the variable in place of unknown numbers.
Isaac and his workout partner are lifting weights together, doing many sets of each exercise.
Isaac is using 5-kg bar, and increasing the amount of weight he lifts by 5 kg on each set. The weight he lifts after x set is,
5+5x
His partner, started out using a 7-kg bar and is upping the weight by adding 3 kg on every set. The weight his partner lift after x set is,
7+3x
Let after x sets, the weight lifted by both will be same. Thus,
[tex]5+5x=7+3x\\5x-3x=7-5\\2x=2\\x=\dfrac{2}{2}\\x=1[/tex]
Thus, the weight Isaac and his workout partner lifting when they both lifting the same amount, after the 1 set and the weight they be lighting is 10 kg.
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Congratulations I was forced to do this so I could see the question.?
6. Find the surface area of the regular pyramid shown to the nearest whole number. The figure is not drawn to scale.
1,540 m2
770 m2
396 m2
749 m2
The surface area of the regular pyramid is 770 [tex]m^{2}[/tex]
Option B. 770 [tex]m^{2}[/tex] is the answer.
What is Surface Area ?
The surface area of a pyramid is a measure of the total area that is occupied by all its faces.
We have to find the surface area of the regular pyramid with a base of 6 sides (hexagonal base).
Surface area of pyramid = area of triangles at the lateral sides + area of base (Hexagon)
Surface area of hexagonal base,
[tex]\frac{1}{2}*(Apothem)*(Perimeter) \\= \frac{1}{2}*(6\sqrt{3} )*(72)\\=216\sqrt{3}[/tex]
Surface area of triangular sides = 6 * 1/2 * b *h
= 3 * 12 *11
= 396 [tex]m^{2}[/tex]
Now total surface area = 216√3 + 396
= 374.112 + 396
= 770.112
≈ 770 [tex]m^{2}[/tex]
The surface area of the regular pyramid is 770 [tex]m^{2}[/tex]
Option B. 770 [tex]m^{2}[/tex]
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can anyone help me find 4,6, and 7? please
Answer:
study btc
Step-by-step explanation:
Jeff made a small flag that is shaped like a triangle. The flag has side lengths of 5 inches, 12 inches, and 13 inches. Jeff wants to describe the flag to his friend so she can make one also.
Select all statements about the flag that are true.
A. The flag is a scalene, right triangle.
B. The flag is an isosceles, acute triangle.
C. The sum of the angle measures of Jeff's flag is 180 degrees.
D. There are an infinite number of different triangular flags that can be made with the same dimensions.
Answer:
A, C
Step-by-step explanation:
A True it IS a right triangle because 5^2 + 12 ^2 = 13^2
and scalene because the leg legths are not =
C always true of triangles
x^2+ y^2+14x-4y+17=0 center and radius
A nationwide survey of a random sample of teenagers asked
whether or not they play sports. The survey concluded that 53%
play at least one sport. Use this information to predict how many
students in a school with 2,000 teenage students play at least one
sport.
Answer:
1060 students
Step-by-step explanation:
all of 5 students got a 50% on the test, what is the average
the sum of 2 numbers is 17. one number is 3 less than 2/3 of the other number. What is the lesser number
Answer:
5, 12
Step-by-step explanation
y=3x-2 use a graph to estimate the value of x when y = 3
Answer:
5/3
Step-by-step explanation:
Substitution
Answer:
5/3 or 1 2/3 (also, there is no graph so I had to do subsitution)
Step-by-step explanation:
If we substitute, we get 3 = 3x-2. We add 2 to both sides and get 5 = 3x
We divide 3 from both sides and get 5/3 = x or x = 5/3
Hope this helped! I would appreciate a Brainliest if this answer helped you! Thank you and have a good day!
Pollsters take a survey of people at a ball game to collect and analyze data about favorite leisure activities of star city’s residents. would this study be biased? why or why not? no, it is not biased. the sample of people at the ball park is representative of star city’s residents. no, it is not biased. all people at the ball park will respond to the survey. yes, it is biased. not all people at the ball park will respond to the survey. yes, it is biased. the sample of people at the ball park is not representative of star city’s residents.
Using sampling concepts, it is found that the correct option regarding the sample is given as follows:
It is biased. The sample of people at the ball park is not representative of star city’s residents.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
In this problem, we have that only one group is sampled, that is, the people that went to the ballgame, hence the sample is not representative and the correct option is given by:
It is biased. The sample of people at the ball park is not representative of star city’s residents.
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Answer:
d
Step-by-step explanation:
edge
Consider the function represented by the equation x - y = 3. What is the equation written in function notation, with x
as the independent variable?
obor(x) = y + 3
Of(x) = -y - 3
Of(x) = -x + 3
O f(x) = x - 3
Answer:
f(x) = x - 3
Step-by-step explanation:
note that y = f(x) , then
x - y = 3 ( add y to both sides )
x = 3 + y ( subtract 3 from both sides )
x - 3 = y , that is
f(x) = x - 3
f(x) = x - 3 is the equation written in function notation, with x as the independent variable.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
To write the equation x - y = 3 in function notation with x as the independent variable, we need to solve for y in terms of x.
x - y = 3
y = x - 3
Therefore, the function represented by the equation x - y = 3, with x as the independent variable, can be written in function notation as:
f(x) = x - 3
So the answer is O f(x) = x - 3.
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if x= -2
what is
f(x)= -x²+5
Answer:
1
Step-by-step explanation:
f(x)= -х² + 5
f(-2)= -2²+5
f(-2)= -4+5
f(-2)= 1
check the attachment pls.
Step-by-step explanation:
135+k=180(sum of angles on a straight line)
k=180-135
k=45
so now u can use k to solve for x
k+9x is also on a straight line
so k+9x=180
we know k so substitute the value in the equation
45+9x=180
9x=180-45
9x=135
[tex] \frac{9x}{9} = \frac{135}{9} [/tex]
cancel 9 will divide 135 15 times
therefore x=15 degrees
Find the sum of the first 6 terms of the following series, to the nearest integer. 15 , 5 , 5/3
Answer:
22
Step-by-step explanation:
the pattern here is to divide the previous number by 3
the first number is 15, divided by 3 to give you the second number:5 ,the second number divided by 3 gives us 5/3
using that principle the first six terms are :
15, 3, 5/3 , 5/9, 5/27, 5/81
(just multiply the denominator by 3)
adding we have
[tex]15 + 5 + \frac{5}{3} + \frac{5}{9} + \frac{5}{27} + \frac{5}{81} = \frac{1820}{81} [/tex]
1820/81 in decimal is 22.4691 to the nearest whole number that is 22.
hope this helps!
HELPPPP ASAP ILL GIVE BRAINLY!!! Identify bottom material based on refraction. Water, Glass, Air
What is the sum of the square of 4 and square root off 144
Rewrite as a whole number. 63/9
Answer:
7
Step-by-step explanation:
Because 9 can go into 63, 7 times.
A runner takes 6. 6 seconds to complete a sprint. If they run the sprint 8 times, how many total seconds would it take?
Answer:
52.8 seconds
multiply 6.6 times 8
Step-by-step explanation:
Jordan invests $9,500 into an account that earns 3.25% annual interest. How much will
be in the account after 10 years if the interest rate is compounded daily or continuously?
Which compounded interest rate should Jordan choose?
The amount of money that Jordan will earn at the end of 10 years = $12,587.5
Calculation of compounded interestsThe principal amount invested(P) = $9,500
The annual compounded daily interest rate(R) of the account = 3.25%
The time given (T) = 10 years
Simple interest (SI) = P×T × R/100
SI = 9,500×10×3.25/100
SI= 308750/100
SI= $3087.50
Therefore the total amount that would be in the account after 10 years = $9,500 + $3,087.50
= $12,587.5
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Identity law a(b+c)=a×b+a×c
Answer:
Distributive property
Step-by-step explanation:
The distributive property states that if you have an equation inside parenthesis with a number outside, you should multiply the number with each of the member inside the parenthesis. So lets say you have 3(1-4), you are not going to add the members together after multiplication, you are gonna apply the mathematical equation that was available in the first place, so u will multiply 3×1 - 3×4, this applies to any situation you have. Let’s say you have 3+(4-2), here you cannot multiply the 3 by any of the parenthesis, since there is an addition sign right before it, we conclude that the number should be right beside the parenthesis bcz parenthesis are like multiplication signs. So you have 3(4-2), first step you do is multiply each of the number inside by the number outside, and you will get the subtraction sign in the middle of them. It will look like this 3×4 -3×2, u multiply them all together, with the multiplication first and subtraction at last.
ur wlcm :)
brainliest?
Lori is interested in astronomy. She wants to build a scale model of the solar system in a nearby park. She is using a table that lists the planets’ average distance from the sun in millions of miles.
Answer: 8.2831
Step-by-step explanation:
[tex] \huge{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red} Question}}}}[/tex]
[tex] \mathsf \blue{sketch \: the \: graph \: of}[/tex]
[tex] \mathsf \blue{y \geqslant x + 1}[/tex]
Answer:
Graph attached →
Step-by-step explanation:
Work out the value of x
Answer:
x = 20°
Step-by-step explanation:
Consecutive interior angles theorem
The pairs of consecutive interior angles formed when two parallel lines are cut by a transversal are supplementary (sum to 180°).
⇒ 4x + 5x = 180°
⇒ 9x = 180°
⇒ x = 20°
Answer:
4x+5x=180
9x/9=180/9
x=20
Item 5
What is the correct classification for ∠JML?
obtuse
straight
right
acute
Ray M J and Ray M L are connected at point P, forming angle J M L. A ray M K sharing the same point forms a bisector. A ray M H also sharing the same point from the diagonally down from the right. The angle J M K measure 41 degrees and angle L M H measure 132 degrees.
The correct classification for the angle JML is an acute angle.
What is an acute angle?An acute angle has a measure, or it's smaller, than a right angle.
An acute angle has a measure less than 90 degrees.
Therefore,
let's find the measure of ∠JML
Hence,
∠JML = ∠JMK + ∠KML
∠KML = 180 - 132 = 48 degrees.
Therefore,
∠JML = 41 + 48 = 89 degrees.
Therefore, the correct classification for the angle JML is an acute angle.
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What happens to the mode of the data set shown below if the number 8 is added to the data set?
A. There is no mode.
B. The mode will not change.
C. There will be two modes.
D. The mode increases by 6.
Answer:
c
Step-by-step explanation:
right now 15 is the mode because there are 3 of them
if we made it so that there was another 8 there would also be 3 of them
this would mean that there are two modes
please tell me what 16/7+86.8 is
Answer:
89.0857
Step-by-step explanation:
Hope this helps! Have a great day!!
Question:
please tell me what 16/7+86.8 is
Answer:
89.08571429
Simplified version:
89.08
Step-by-step explanation:
So you have the fraction:
16 over 7
And you have your whole number/decimal:
86.8
What you would do is:
Set up your problem. (Always put the bigger number on top.) So what your problem should look like is 86.8 on top and the fraction on the bottom.Break down the fraction: (So your fraction would have 1. The decimal. And 2. It's way easier to work with when you have two whole numbers/decimals.)So your broken down fraction should have the numbers in this specific order: 2.28571429
Add the two number together: (Add 2.28571429 and 86.8)
You would start at the end of your problem
9 + 0 = 9
2 + 0 = 2
4 + 0 = 4
1 + 0 = 1
7 + 0 = 7
5 + 0 = 5
8 + 0 = 8
2 + 8 = 10
2 + 86 = 88 + 1 (From the 10) = 89
So, to conclude, 16/7 + 86.8 = 89.08571429
Then, simplified it is: 89.08 or 89.0/89
If you need to simplify to only one digit after the decimal, the answer would be 89
If you are wondering why then the reason why you wouldn't add the .0 is because you never add the .0 at the end. If your answer is 89.08 then you cannot take away that 0 because you only take away the 0 if its at the end of your answer.
(Examples.)
X for Don't take away 0
[tex]\sqrt[/tex] for Take away 0
89.08 X
37.30 [tex]\sqrt[/tex]
12.6802 X
15.670 [tex]\sqrt[/tex]
16.05 X
15.50 [tex]\sqrt[/tex]
6.903 X
And so on.
Express 0.625 as a fraction in its
simplest form.
Answer:
5/8
Step-by-step explanation:
Answer: The answer is 5/8. Try reducing using 58
Answer answer questions please
Answer:
d
Step-by-step explanation:
it is 4/5ths of the answer towards one and the only other likely answer would seem as though b but b=9/10ths so D.
Answer: the answer is choice d .
Step-by-step explanation: as 4 over 5 is 0.8 which is less than one on a number line . It is close to one but ofcourse lesser . HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .
please asap i dont need expalination correct answer gets brainliest please
Answer:568.99 is what I calculated
Step-by-step explanation:
Valentina and her sister went together to get haircuts. valentina got 4/5 of an inch cut off and her sister got 1/5 of an inch cut off. compared to her sister, how much more hair did valentina get taken off?
Answer:
Valentina got 4 times more hair cut off than her sister
Step-by-step explanation:
1 4 4
- × - = -
5 1 5
Valentina got 4 times more hair taken off than her sister, as the ratio between them is 4:1.
What is a ratio?The ratio is the simplest form of a fraction involving two quantities determining each other. It is written as a:b, read as "a is to b", and functions as a/b.
How to solve the question?In the question, we are informed that Valentina and her sister went together to get haircuts. Valentina got 4/5 of an inch cut off and her sister got 1/5 of an inch cut off.
We are asked to find a comparison between the two.
To find the comparison, we will find the ratio of the haircut Valentina got to that of what her sister got.
Therefore, ratio = (4/5):(1/5) = (4/5)/(1/5) = 4.
Therefore, Valentina got 4 times more hair taken off than her sister.
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