Given:
The table of point scored in 5 games.
After game 6, the mean number of points scored per game is 9.
To find:
The points scored by Maya in game 6.
Solution:
Let x be the points scored by Maya in game 6. Then sum of scores in all 6 games is:
[tex]Sum=8+12+10+6+14+x[/tex]
[tex]Sum=50+x[/tex]
We know that, the formula for mean is:
[tex]\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Total number of observations}}[/tex]
So, the mean number of points scored per game is:
[tex]\text{Mean}=\dfrac{50+x}{6}[/tex]
It is given that the mean number of points scored per game is 9.
[tex]\dfrac{50+x}{6}=9[/tex]
[tex]50+x=9\times 6[/tex]
[tex]x=54-50[/tex]
[tex]x=4[/tex]
Therefore, the correct option is A.
Please help me i gotta get this finished... :P
Answer:
A) it depends. If they bought 10 calculators, we would multiply 31.25 by 10. 31.25x10=$312.50
B)Divide 500 by 31.25. Since each calculator is $31.25, we divide $500 by it to see how many they can buy with $500. 500/31.25=16
Step-by-step explanation:
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What is the value of x?
x = 6 × 12/8
x = 6 × 3/2
x = 3 × 3
x = 9
Write and solve the equation that represents in the sentence below the product of 18 and a number is 109point statements are correct check all that apply
Answer:
6 1/18
• There is no sentence below.
• There are no statements to check
Step-by-step explanation:
18x = 109
Divide both sides by 18
x = 109/18
x = 6 1/18
find the hcf and the lcm of these for 10 points plz
Answer:
LCM of 64 and 94= 3008
HCF of 64 and 94= 2
Step-by-step explanation:
Do a venn diagram with the prime factors of 64 on the left, and the prime factors of 94 on the right. If they have the same factors put them in the middle of the venn diagram. Then you multiply everything in the diagram and get the LCM. The HCF is found by multiplying the factors in both lists which is only 2.
The measure of an angle is 89. Find the measure of its supplementent
a. 91
b. 89
c.90
d. 80
Answer:
A) 91
Step-by-step explanation:
Supplementary angels are 2 angels whos sum is 180
To find the supplement of angle 89, substract 89 from 180
180-89 = x
91 = x
PLEASE HELP WILL MARK BRAINLIST!
Answer:
37.5
Step-by-step explanation
your answer is 37.5
I'm working on this equation for my pre-calculus class and I'm stuck. 0.5t = 0.2+ 0.4t
Answer:
t = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
0.5t = 0.2 + 0.4t
Step 2: Solve for t
[Subtraction Property of Equality] Subtract 0.4t on both sides: 0.1t = 0.2[Division Property of Equality] Divide 0.1 on both sides: t = 2What is the surface area of the prism?
Step 1: Find the area of the bases (triangles)
A = 1/2 * base * height
A = 1/2 * 16 * 6
A = 48
48 + 48 = 96
Area of the triangles = 96 cm^2
Step 2: Find the area of the sides (rectangles)
A = base * height
A1 = 16 * 12
A1 = 192
A2 = 10 * 12
A2 = 120
120 + 120 = 240
240 + 192 = 432 cm^2
Step 2: Add the areas together
96 + 432
528 cm^2
Hope this helps!! :)
My math assignment is due in 15 min pls help with this question
Answer:
1st quartile: 2.6
2nd quartile or median: 3.1
3rd quartile: 3.25
Step-by-step explanation:
Please help me with this please
9514 1404 393
Answer:
0
Step-by-step explanation:
The forces are equal and opposite, so the net force is zero.
5N -5N = 0
Find the volume of the pyramid. Round to the nearest tenth if necessary.
can someone help me out pls i’ll give brainliest!
answer
three
explain hope this helps
Hello again can anybody help a friend out
Answer:
V= 74.09
Step-by-step explanation:
Multiply the Length, Width & The Height.
So, 4.2x 4.2x 4x2= 74.09
Answer:
74.09 m
Step-by-step explanation:
Volume = width*hight*length
4.2*4.2*4.2 ≈ 74.09
A camera company sells two types of Point and Shoot cameras. Model A costs $150 and Model B costs $225. If the company sold 22 cameras for a total $3900 last month, how many of each model were sold? PLEASE HELP ASAP!!
Answer:
A=14 and B= 8
Step-by-step explanation:
the equation systems:
150A + 225B = 3900
=> 6A + 9B= 156 .... (1)
A + B = 22 ..... (2)
<=> 6A + 9B = 156
6A + 6B = 132
_____________-
3B = 24
B= 8 and A = 22-8 = 14
The Harper family purchased a small microwave for their family room. The diagonal of the door measures 15 inches. The door also has an area of 108 square inches. What are the length and width of the microwave door? Enter values separated by a comma.
Answer:
length and width = 12,9
Step-by-step explanation:
10. (05.05 LC)
Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality: (5 points)
Y
The origin is not included in the shaded region and the shaded area is above the line.
O The origin is not included in the shaded region and the shaded area is below the line.
The origin is included in the shaded region and the shaded area is above the line.
The origin is included in the shaded region and the shaded area is below the line.
Answer:
c
Step-by-step explanation:
What is the area of a circle with radius 8 cm? *
0 20.96 square cm
O 64 square cm
0 200.96 square cm
O 96.2 square cm
What percentage of $250 is $75?
To calculate the percentage,
75/250×100 = 30%
Answer:
30%
Step-by-step explanation:
75/250=0.3
0.3= 3/10
3/10=30%
Solving a word problem using a quadratic equation with rationa...
The area of a rectangle is 52 m², and the length of the rectangle is 5 mless than double the width. Find the dimensions of the rectangle.
Length:
Width : 1
Answer:
length : 8 m
width : 13/2 = 6.5 m
Step-by-step explanation:
area of rectangle = l(ength)×w(idth) = 52
l = 2w - 5
=> (2w - 5)×w = 52
=> 2w² -5w - 52 = 0
we know, when transforming this quadratic equation into a multiplication of two expressions of w, that we need to have 2w and w (to make 2w²), and then which 2 numbers multiply to 52 and add to -5 (when one is multiplied by 2 due to 2w) : -13 and 4
=> (2w - 13)×(w + 4) = 0
=> 2 solutions for w :
2w-13 = 0
2w = 13, w = 13/2
w+4 = 0, w = -4
negative values for a side length of a shape do not make sense, so the only usable solution is w = 13/2
=> l = 2w - 5 = 13 - 5 = 8
The area of a rectangle is 135 square units. Its length measures 9 units. Find
the length of its diagonal. Round to the nearest tenth of a unit.
Answer:
Length = 9 units
Area = 135 square units
Area = Length x Breadth
135 = 9 x Breadth
Breadth = 15units
[tex]By \ pythagorean \ theorem\\\\Diagonal ^ 2= Length^2 + Breadth^2\\\\[/tex]
[tex]= 9^2 + 15^2 \\= 81 + 225 \\=306[/tex]
[tex]Diagonal = \sqrt{306} = 17.49[/tex]
Diagonal = 17.5 units
Rounding to the nearest tenth of a unit, the length of the diagonal of the rectangle is approximately 17.5 units.
To find the length of the diagonal of a rectangle, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the length of the rectangle is given as 9 units, and we need to find the length of the diagonal.
Let's assume the width of the rectangle is 'w'.
We know that the area of a rectangle is given by the formula: length × width = area.
So, 9w = 135
Dividing both sides of the equation by 9, we get: w = 15.
Now, we have the length (9 units) and the width (15 units) of the rectangle.
Using the Pythagorean theorem, we can find the length of the diagonal (d):
d² = 9² + 15²
d² = 81 + 225
d² = 306
Taking the square root of both sides, we get:
d ≈ √306 ≈ 17.5
To learn more about the Pythagoras theorem;
https://brainly.com/question/343682
#SPJ4
Why does 5(x+20) equal 15x? I'm so confused.
Answer:
Nobody knows its a mistery :'D
Answer:
Because lma/os
Step-by-step explanation:
5 ( x + 20 )
-----------------
1. Simplifly
2. Distribute
3. 5 ( x + 20 )
5 x + 100
15. Find the rate of change
47% of 8.4 million .....
Answer:
39,48,000
Explanation:
please mark me brainliest
What is the slope intercept form of this line?
Answer:
y = 1/4 x - 2
Step-by-step explanation:
y = mx + b
m = 1/4 *rise/run --> rises 1 square then runs 4 squares to the left indicating it's positive
x = x
b = y-intercept --> (0,-2) --> -2
how do you solve the problem 2p = 60
In how many different ways can the letters in the word PAYMENT be arranged if the letters are taken 6 at a time?
A. 5040
B. 42
C. 2520
D. 7
Answer:
D.
Step-by-step explanation:
7
PAYMENT
1234567
THERE ARE 7 ELEMENTS
Solve the equation 4sqrt(3m ^ 2 - 15) = 4
Answer:
See the image below:)
Step-by-step explanation:
I can only show half of the steps, but these are some of the steps. You can use the app photo math, just take a picture and it will show you the steps and answer.
Answer: c on edge ;)
Step-by-step explanation:
Need the answer ASAP!! 20 points
Answer:
I think C. is it
Step-by-step explanation:
Need help with question?
Answer:
150
Step-by-step explanation:
15 times 8 = 120
14-8 = 6
6 times 5 = 30
150
Is ΔABC ~ ΔDEF? Explain. Triangle A B C has angle measures A 18 degrees, B 110 degrees, and C unknown. Triangle D E F has angle measures D 52 degrees, E 18 degrees, and F unknown.
9514 1404 393
Answer:
no
Step-by-step explanation:
Triangle ABC has angle measures ...
A = 18°B = 110°C = 180° -18° -110° = 52°Triangle DEF has angle measures ...
D = 52°E = 18°F = 180° -52° -18° = 110°Using the angle measures in the order 18, 110, 52, we can write the similarity statement as ...
ΔABC ~ ΔEFD
The similarity statement given in the problem is incorrect. ΔABC is not similar to ΔDEF.