Let, number of games played is n and sum of their points are x.
So, [tex]177=\dfrac{x}{n}[/tex]
Now, In his next game he obtained a score of 199, which caused his average to increase to 178.
[tex]178=\dfrac{x+199}{n+1}[/tex]
Now equations are :
x = 177n ...1)
x + 199 = 178( n + 1 )
x = 178n - 21 ...2)
Solving eq 1 and 2 , we get :
x = 3717 and n = 21 .
Now, new average is 183.
Let, point scored in last game is y.
So,
[tex]183 =\dfrac{x+y}{n+1+1}\\\\183 = \dfrac{3717+y}{23}\\\\y = 183\times 23 - 3717\\\\y=492[/tex]
He required 492 points which is greater than the maximum i.e 300.
Therefore, it is not possible for Fred.
Hence, this is the required solution.
Jenny is picking apples to make apple pie. The amount of
apples that she needs to pick varies directly with the
number of pies she plans to bake. If Jenny needs to make 12
apple pies, she will need to pick 42 apples. How many apples
would she need to pick if she was only making 8 pies?
State if the two triangles are congruent. If they are, state how you know.
Answer:
The triangles can be congruent.
Step-by-step explanation:
They are congruent if proven by SSS: 2 sides are clearly stated that they are congruent due to the marks they have.
The last side can be congruent if the diagonals are congruent in length by proving.
They can also be congeuent due to SAS because there is gonna be alternate interior angles due to the transversal.
Select all the equations that are equivalent to the equation 3x – 4 = 5
A. 3x=9
B . 3x-4+4=5+4
C .x-4=2
D . x=9
E. -4=5-3x
Answer:
A. 3x=9
I can only think of A
true or false
A number that has values on the left and the right of the decimal point is called a "decimal mixed number.
the imposter the answer is true
Simplify to a single power of 4:
4^7/4^6
Step-by-step explanation:
[tex] \frac{ {4}^{7} }{ {4}^{6} } [/tex]
= 4
.......
Jay walks 3 blocks north and then 4 blocks east from his home if he walks straight back home how far does Jay walk-in all?
Answer:
he walked 7 block's
Jay walks 3 blocks north and then 4 blocks east from his home if he walks straight back home, 5 blocks does Jay walk-in all
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given,
Jay walks 3 blocks north and then 4 blocks east from his home if he walks straight back home.
We have to use pythagorean theorem in finding distance
As given in the attachment, Let AB= 3
BC=4
AC=x
To find AC we use pythagorean theorem
AC²=AB²+BC²
AC²=3²+4²
AC²=9+16
AC²=25
Take square root on both sides.
AC=5
Hence 5 blocks he walks straight back home how far does Jay walk-in all
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ2
I have a few questions
Answer:
why didn't you ask the questions then?
Use the literal equation m=5/4n-7 to find m when n =40
Help plz
Answer: 5/153
Step-by-step explanation:
Well, you'd just have to plug in 40 for n.
5/(40*4 - 7) = m
5/(160-7) = m
5/153 = m
An equation is formed of two equal expressions. As per the literal equation m=5/4n-7, the value of m when the value of n is 7 is 42.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The value of m from the given equation can be found by substituting the value of n as 7 in the given equation as shown below.
m = (5/4)n - 7
Substitute the value of n as 40,
m = (5/4)40 - 7
m = (5/1)10 - 7
m = 50 - 7
m = 42
Hence, as per the literal equation m=5/4n-7, the value of m when the value of n is 7 is 42.
Learn more about Equation here:
https://brainly.com/question/14686792
#SPJ2
Write the prime factorization of the number.
1: 42
2: 50
3: 66
how do you solve 2(3-p)-17=41
Answer:
The answer is p = − 26
Step-by-step explanation:
Answer:
P=-26
Step-by-step explanation:
6 - 2p - 17 = 41
- 11 - 2p = 41
-2p = 41 + 11
-2p = 52
p = -26
-1/4x + 6 = y; (2,4)
Answer:
The answer is y = 4 x − 4
Step-by-step explanation:
What type of angle is this??
Please help! I’ll give brainliest!!
Answer:
Same-side interior angle
Step-by-step explanation:
add up to 180 degree
Answer:
Acute angle
Correct me if wrong but that's what I know
George and Jerry are selling nuts for their band fundraiserGeorge sold 12 cans of cashews and 7 cans of almonds for $112. Jerry sold 4 cans of cashews and 10 cans of almonds and made $68. Set x = the price for a single can of cashews and y=t0 the price for a single can of almonds. What was the price for a single can of cashews and a single can of almonds? You must write the system of equations for this situation and show how you arrived at your answer in order to receive full credit for this problem.
Answer:215
Step-by-step explanation:You have to add to get your answer.
12+12=24
24+112=136
136+7=143
143+4=147
147+68=215
Your answer is:215
The function g(x) is a transformation of the cube root parent function, f(x) = \sqrt[3]{x}f(x). What function is g(x)?
Answer: D
Step-by-step explanation:
First, remember two things about translations.
For a function f(x).
A horizontal translation to the right of N units is written as:
f(x - N)
A vertical translation up of N units is written as:
f(x) + N.
Now let's look at the graph.
You can see that:
g(x) is: 4 units at the right of f(x) and 3 units bellow f(x).
Then we have:
g(x) = f(x - 4) - 3.
and f(x) = ∛x
then g(x) = ∛(x - 4) - 3
The correct option is D.
The function g(x) is transformed from the function f(x) by translating function f(x) by 4 units in the right direction and then by translating that graph 3 units in a downward direction.
Given :
Function -- [tex]\rm f(x) = \sqrt[3]{x}[/tex]
The following steps can be used to determine the unknown function g(x):
Step 1 - According to the given graph, translate function f(x) 4 units in the positive x-axis that is in the right direction.
Step 2 - Now, again according to the given graph, translate function f(x) 3 units in the downward direction that is in the negative y-axis.
Step 3 - The resulting graph is the graph of the function g(x). Whose equation is written as:
[tex]\rm g(x) = \sqrt[3]{x-4} - 3[/tex]
So, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/4700926
Noah receives a $5 discount each month on his cell phone bill because he signed up for a auto pay from his bank account. Over the last 8 months ,Noah has paid a total of $280 for his cell phone bill. What would Noah be charged for his cell phone bill each month if he stopped using auto-pay?
Answer:
Step-by-step explanation:
280÷8=35+5=$40
Evaluate 2x2 + 4 if x = 2
Answer:
x = 12
Step-by-step explanation:
insert 2 into the equation where x is.
2(2)2 + 4
so this is 2 * 2 * 2 + 4 = 12
What is 15/8 - 1 subtracting fractions
Answer:
I believe that it is .875 or 7/8 but im not sure
Step-by-step explanation:
help plssssssss! asap
Please HELP! I’ll give BRAINLIEST :)
An undefined term is a term that has been given no formal definition. In geometry, there are three undefined terms that form the basis for the subject. What are those three undefined terms? Do your best to define those terms.
Answer:
Point, Line, and Plane
Step-by-step explanation:
The three undefined terms that form the basis for the subject are a point, a line, and a plane. A point is basically like a dot, which most people should know. A line is a straight one dimensional figure that extends to infinity in both directions. A plane a flat 2 dimension figure, that extends to infinity in all directions. You can think of a plane as infinite lines put next to each other.
You can visualize a point, a line, and a plane in a coordinate grid. A point on the coordinate grid is any point, from (0, 0), the origin, to (2039, pi). A line on the coordinate grid is linear. It can be of any equation from y=x to y=238490/239x + 123. You can think of a plane as the entire coordinate grid.
Least Common Multiple of 9 and 45
Answer: 45
Step-by-step explanation:
3x3x5
Which graph best describes the following situation?
Matt was standing 3 feet from the edge of the pool. He walked away from the pool for 4 seconds. Then he was
12 feet away from the edge of the pool.
Answer:
Suppose that P(t) describes the position of Matt over time
Let's define the edge of the pool as our zero in the position axis.
At the beginning, Matt was 3 ft away from the edge, so we have:
P(0s) = 3ft
He walked away for 4 seconds, then he was 12 ft away from the edge.
Then at t = 4s his position was:
P(4s) = 12ft.
So we have two points, (0s, 3ft) and (4s, 12ft).
The graph that describes this situation will be the line that connects those two points.
An example is shown below.
Answer:
0,3 - 4,12
Step-by-step explanation:
In which pair of figures can Figure A be taken to Figure B by a rotatio
Answer:
Step-by-step explanation:
I don’t think you added a picture
the sum of three consecutive even numbers is 114. what is the smallest of the three numbers?
Answer:
36
Step-by-step explanation:
Let's let n be any number.
If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n must be even. Therefore, let 2n be our first number.
So, the consecutive even number will be (2n+2) followed by (2n+4).
We know that their sum must be 114. Therefore, we can write the following equation:
[tex](2n)+(2n+2)+(2n+4)=114[/tex]
Solve for n. Combine like terms on the left:
[tex]6n+6=114[/tex]
Subtract 6 from both sides:
[tex]6n=108[/tex]
Finally, divide both sides by 6. Therefore, the value of n is:
[tex]n=108/6=18[/tex]
Therefore, our first even number is 2n or 2(18) which equates to 36.
And the consecutive even numbers will be 38 and 40.
So, the smallest of them, the first term, is 36.
Let the three consecutive even numbers be x, x + 2 and x + 4 .
[tex] \longrightarrow \rm x + x + 2 + x + 4 = 114[/tex]
[tex] \longrightarrow \rm 3x + 6 = 114[/tex]
[tex] \longrightarrow \rm 3x = 108[/tex]
[tex] \longrightarrow \bf x = 36[/tex]
Smallest number = 36
I need help with exponents , im a little stuck
Answer:
Exponents are when you are multiplying numbers by themselves. The symbol is this sign right here ^
Step-by-step explanation:
Exponents are usually shown as ^
but they may also look more like a number that is on the top right corner of a value.
When you have an exponent, since you are multiplying by itself, you get the number times the number times the number on and on, counting on what the value of the exponent is.
If the number looks like this for example 2^5
You should either see that or a 2 with a 5 hugging the top right corner of the 2.
To solve them, you should do 2 x 2 x 2 x 2 x 2, since you are multiplying the 2 by itself 5 times.
2^1 is basically just 2, as you are multiplying 2 by itself no times at all.
2^2 should be 4, because you are multiplying 2 by 2 twice.
2^3 is 2 x 2 x 2 which is 4x2 which is 8.
When a number goes to the power of 0, such as 2^0 it is ALWAYS 1. For some weird reason, exponents going to the power of 0 is always 1, no matter what value the bottom number is.
1^0 = 1
2^0 =1
19442380528^0 = 1
Exponents to the negative power, are more difficult, however is just as easy as remembering the powers of 0.
You just flip the number upside down, so if the number is 3^-2 then it becomes 1/3 ^2
If the number is 3^-4
You get 1/3 x 1/3 x 1/3 x 1/3 which you end up getting 1/81.
You have to square the top numbers too when you are using exponents, so if 2/3 to the power of 3 is used,
you have to do 2/3 times 2/3 times 2/3, which is 2x2x2 over 3x3x3 giving you 8/27.
The same principle applies to when you do negative exponents, which you are just flipping over the fraction or number and doing the exponent.
2/3 to the power of -3, would give you 3/2 times 3/2 times 3/2, which gives you 27/8.
I will not get into much more detail, as it is a big unit to go through, but once you get the hang of them, it is easy to understand. I appologize if you feel lost, but there are many websites that go into more detail much better than me. Khan Academy gives VERY in depth videos on how exponents work with some humor, but I hope this helped at least!
A tree struck by lighting broke at a point 16 feet above ground level. The broken trunck formed a right triangle with the top of the tree resting on the ground 18 fett from the base of the tree what was the full height of the tree to the nearest foot before it was struck by lighting
Answer:
okay i need to know the options
Step-by-step explanation:
consider the equation x/3 +7 =13 what is a equvalent equation using the multipucation property of equlity
Answer:
x=18
Step-by-step explanation:
Help please I need this now
Answer:
what is the question i cat help without the question
Step-by-step explanation:
Answer:
The answer for this is 850 dollars
Step-by-step explanation:
Since D stand for 50
You would do 50 X 17
Resulting in 850 dollars
bruh please help i’ve been trying to do this for two days and i can’t figure it out :// pls help lol i’m struggling
Answers:
x = 13
y = 24
=========================================================
Explanation:
Refer to the diagram below.
The triangle has interior angles (7x-31), 63, and some unknown angle, which we'll call z. This angle z is congruent to (5x-8) as the angles are alternate interior angles.
Alternate interior angles are congruent when we have parallel lines like this.
So z = 5x-8
Add up the three angles inside the triangle, set the sum equal to 180, and solve for x
(angle1)+(angle2)+(angle3) = 180
(7x-31)+63+(5x-8) = 180
12x+24 = 180
12x = 180-24
12x = 156
x = 156/12
x = 13
--------------------------
The angle z mentioned earlier is adjacent to the (4y+27) angle. These two angles form a straight line. They are considered a linear pair. This means they are supplementary (they add to 180)
z+(4y+27) = 180
(5x-8)+(4y+27) = 180
5x + 4y + 19 = 180
5(13) + 4y + 19 = 180
65 + 4y + 19 + 180
4y + 84 = 180
4y = 180-84
4y = 96
y = 96/4
y = 24
Can you help me please?
Answer:
61.5 in 41 mins 90 in one hour,
Step-by-step explanation:
i multiplied 1 1/2 by 41 and by 60
hope this helps i am very sorry if it is incorrect..
What is a number with exactly 2 factors and what is a number with more than 2 factors
