The decimal cannot be rounded. It is already rounded to the nearest hundredth.
Cory has received the following grades this term: 75, 87, 90, 88, 79. If he wishes to earn an 85 average, what must he score on his final test?
Answer:
A 91.
Step-by-step explanation:
[tex]\frac{75+87+90+88+79+x}{6}=85\\\\\frac{419+x}{6}=85\\\\(\frac{419+x}{6})6=85*6\\\\419 + x = 510\\\\419-419+x=510-419\\\\\boxed{x = 91}[/tex]
3. Mrs. Baumgartner draws a pair of supplementary angles and tells the class that
the angle measures are (4x +30)' and (2x + 6).
a. Write an equation to determine the value of x. Solve for x. SHOW ALL WORK
Answer:
Equation: 4x + 30 + 2x + 6 = 180
Answer: x = 24
Step-by-step explanation:
The sum of the measures of supplementary angles is 180 deg.
Equation:
4x + 30 + 2x + 6 = 180
Solution:
4x + 30 + 2x + 6 = 180
Add like terms on the left side.
6x + 36 = 180
Subtract 36 from both sides.
6x = 144
x = 24
Answer:
X=24
Step-by-step explanation:
Supplementary angles = 180°
4x+30+2x+6=180
Combine like terms> 4x+2x=6x
Add: 30+6=36
6x+36=180.
Subtract 36 on both sides. > 36-36=0. 180-36=144.
Drop what you have left> 6x 144
Divide by 6. > 6/6= 1. 144/6=24.
X=24
please answer and help me on this question!
=====================================================
Explanation:
The double tickmarks show that segments DE and EB are the same length.
The diagram shows that DB = 16 cm long
We'll use these facts to find DE
DE+EB = DB
DE+DE = DB
2*DE = DB
DE = DB/2
DE = 16/2
DE = 8
-------------
Now let's focus on triangle DEC. We just found the horizontal leg is 8 units long. The vertical leg is EC which is unknown for now. We'll call it x. The hypotenuse is CD = 9
Use the pythagorean theorem to find x
a^2+b^2 = c^2
8^2+x^2 = 9^2
64+x^2 = 81
x^2 = 81 - 64
x^2 = 17
x = sqrt(17)
That makes EC to be exactly sqrt(17) units long.
If you follow those same steps for triangle ADE, then you'll find the missing length is AE = 6
---------------
So,
AC = AE+EC
AC = 6 + sqrt(17)
AC = 10.1231056256177
AC = 10.1 cm approximately
What is the value of tan(π6)
What percent of 50 is 44
Answer:
here u go
Step-by-step explanation:
88%
Answer:
88% of 50 is 44
Step-by-step explanation:
50x=44
x=44/50
x=0.88
Therefore, 88% of 50 is 44
What is the slope of the line in the graph? Enter answer without spaces
Answer:
-3/4
Step-by-step explanation:
From point (0,3), to get to point (4,0) you would need to go down 3 units, and right 4 units.
Hope this helps
A coin-operated machine sells plastic rings. It contains 11 orange rings, 15 green rings, 0 pink rings, and 5 yellow rings. Patricia puts a coin into the machine. Find the theoretical probability she gets a yellow ring. Express your answer as a decimal. If necessary, round your answer to the nearest thousandth
Answer:
16.129
Step-by-step explanation:
11+15+5=31
5÷31=0.16129
0.16129x100
=16.129
WILL GIVE BRAINLIEST (Right angle) Trigonometry
please help!
Answer:
<A = 41.4°
Step-by-step explanation:
Recall, SOH CAH TOA
Reference angle = <A
Hypotenuse length = 8
Adjacent length = 6
Since Hypotenuse and Adjacent are involved, we would apply CAH, which is:
Cos A = Adj/Hyp
Plug in the values
Cos A = 6/8
Cos A = 0.75
[tex] A = Cos^{-1}(0.75) [/tex]
A = 41.4096221° ≈ 41.4° (nearest tenth)
If you are multiplying by the vertical method as seen below, what is the value of C?
QUICK QUESTION!
Answer:
option 1
Step-by-step explanation:
[tex]x^2[/tex] [tex]-2x[/tex] [tex]+8[/tex]
[tex]x[/tex] [tex]-4[/tex]
_____________________
[tex]-4x^2[/tex] +8x -32
[tex]x^3[/tex] [tex]-2x^2[/tex] +8x 0
_______________________
[tex]x^3[/tex] [tex]-6x^2[/tex] +16x -32
[tex]A =+ 8x\\\\B = -2x^2\\\\C= +16x[/tex]
What is the solution to
3x*2-2x+4=0
Answer:
Step-by-step explanation:
[tex]3x^2 - 2x + 4 = 0[/tex]
a = 3, b = -2, c = 4
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \\\\x = \frac{2 \pm \sqrt{2^2 - (4 \times3 \times 4} )}{2 \times 3}\\\\x = \frac{2 \pm \sqrt{4 - 48} }{6}\\\\x = \frac{2 \pm \sqrt{-44} }{6}\\\\x =\frac{2 \pm 2i \sqrt{11} }{6}\\\\x =\frac{1 + i \sqrt{11} }{3}\ , x =\frac{1 - i \sqrt{11} }{3}\\\\\\\\[/tex]
Find the value of x in each case:
Answer:
x = 19
Step-by-step explanation:
∠ YWX = ∠ ZYW = 2x ( alternate angles )
The sum of the 3 angles in Δ WXY = 180° , that is
3x - 5 + 2x + 90 = 180
5x + 85 = 180 ( subtract 85 from both sides )
5x = 95 ( divide both sides by 5 )
x = 19
for his new year's resolution olvin decides to meal prep instead of spending so much money on takeout everyday: a cereal bar for breakfast, a burger for lunch had 200 calories. assuming the burger and chicken sandwich are equal in calories and olvin eats 8,400 calories a week how many calories are in one chicken sandwich
Answer:
She had the whole week off from work, spent a chunk of it vacationing in ... beef burger (assuming 85% lean, which is fairly standard, would mean 60 calories per ... Out to dinner: 1/2 of a large Asian Chicken Salad (from a small deli/restaurant; ~350).
Step-by-step explanation:
She had the whole week off from work, spent a chunk of it vacationing in ... beef burger (assuming 85% lean, which is fairly standard, would mean 60 calories per ... Out to dinner: 1/2 of a large Asian Chicken Salad (from a small deli/restaurant; ~350).
3a. The distance around a circular track.
Circumference
Area
Answer:
Circumference
Step-by-step explanation:
The Circumference is the the distance around a circular region, it could be imagined as the distance covered by running or walking around the track of a circular athletic stadium. The Area in the other hand is used to describe the entire region enclosed within the circle. For instance the area may be described as the entire pitch region of an athletic stadium, if the circular distance is the Circumference, the enclosed region within the circle is the measure of the Area.
HELP !!!!
A circular pizza has been cut into five equal size pieces … how many degrees is the angle from one piece?
Answer:
72°
Step-by-step explanation:
360/5 = 72
HELP ME PLEASEEEEEEEEEEEEEEEEEE
Answer:
y = 3/2x + 15
Step-by-step explanation:
change f(x) to 'y='
interchange 'x' and 'y' then solve for 'y':
y = 2/3x - 10
x = 2/3y - 10
x+10 = 2/3y
multiply each side by 3/2 to get:
y = 3/2x + 15
which statement is true?
someone please help! (listing BRAINLIST and giving points) :)
I hope this is help full to you
(y-4)^0 - 3y^0 for y = 1
Answer:
(1-4)^0-3y^0
( -3)^0 -3^0
1 -1
0
Answer:
-2
Step-by-step explanation:
(y -4)^0 - 3y^0
substitute the value of y
(3-4)^0 - 3*1^0
(-1)^0 - 3*1
1 - 3
-2
Shift parabolas
f(2)=z²
g(x) = (x+4)^2 - 1
We can think of g as a translated (shifted) version of fi
Complete the description of the transformation.
Use nonnegative numbers.
To get the function g, shift f up/down
by
units and to the right/left
by
units.
someone help please I'm stuck and frustrated,?????
Answer:
The area of the circle in terms of π is:
9/64 π in^2Step-by-step explanation:
To find the area of that circle, you can use the equation:
Area of a circle = [tex]\pi * \frac{D^{2}}{4}[/tex]Where:
D = Diameter (3/4 in)Now, we can replace the given measurement in the equation:
Area of a circle = [tex]\pi * \frac{(\frac{3}{4}in) ^{2}}{4}[/tex]Area of a circle = [tex]\pi * \frac{\frac{9}{16}in ^{2}}{4}[/tex]Area of a circle = [tex]\pi * \frac{9}{64} in^{2}[/tex]That result is the same that to write:
Area of a circle = [tex]\frac{9}{64}\pi in^{2}[/tex]By this reason, the result is 9/64 π in^2, giving the result in terms of π.
Can y’all help me on question 32?!
Answer:
b. 96
Step-by-step explanation:
triangle area= b x h / 2
5 x 6 /2= 15
15 x 4 (4 triangles)= 60
square area= b x h
6x6=36
36 + 60 = 96
What is the simplified form of √10,000x64 ?
Answers to choose from:
5000x^64
5000x^8
100x^8
100x^32
9514 1404 393
Answer:
(d) 100x^32
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
√a = a^(1/2)
__
Then ...
[tex]\displaystyle\sqrt{10000x^{64}}=(10^4\cdot x^{64})^{\frac{1}{2}}=10^{\frac{4}{2}}\cdot x^{\frac{64}{2}}=10^2\cdot x^{32}\\\\=\boxed{100x^{32}}[/tex]
Answer:
Step-by-step explanation:
5000x^8
Jenna just got done jumping at the Trampoline center. The total cost of the session was $15.23 She had to pay an entrance fee of $7.25 and $1.45 for every minute she was on the trampoline.
Answer: 5.5 minutes
Step-by-step explanation:
Your question is not complete but I guess they you want to calculate the number of minutes that Jenne was on the trampoline.
Let the number of minutes be represented by m.
Therefore, based in the information, we can form an equation which will be:
7.25 + (1.45 × m) = 15.23
7.25 + 1.45m = 15.23
1.45m = 15.23 - 7.25
1.45m = 7.98
m = 7.98/1.45
m = 5.50
Therefore, Jenna used 5.5 minutes
If a card is randomly selected, what is the probability that the card is any one suit, e.g., a diamond, heart, spade, or club?
Step-by-step explanation:
there are 13 cards per 4 suits, totalling 52 cards in an entire deck
13 represents an entire 1 suit out of 52 cards
13/52 = 0.25
thus your answer is 0.25% or 1/4
Identify horizontal or vertical compression stretch of the function g(x) = 6x
Answer:
dhjfydhftb7cuvdihcdjxuihy
the data below shows the number of car thefts in a city for a period of 20 days. complete parts (a) and (b) below.
51, 64, 71, 56, 53, 68, 53, 49, 70, 33
64, 53, 79, 65, 55, 46, 80, 76, 73, 74
a. Draw an ordered stem and leaf plot for the data.
Answer:
Kindly check explanation
Step-by-step explanation:
The oederd data :
33, 46, 49, 51, 53, 53, 53, 55, 56, 64, 64, 65, 68, 70, 71, 73, 74, 76, 79, 80
Stem Leaf
3 | 3
4 | 6 9
5 | 1 3 3 3 5 6
6 | 4 4 5 8
7 | 0 1 3 4 6 9
8 | 0
Key :
3 | 3 = 33
Find the value of the trigonometric ratio. Simplify the ratio if possible.
(Hint: You may need to use some pythagorean theorem first!)
Answer:
Tan B = 15 / 8
Step-by-step explanation:
Giveb the triangle :
The hypotenus :
Using Pythagoras rule :
Hypotenus² = 15² + 8²
Hypotenus² = 225 + 64
Hypotenus = 17
Tan B:
Using the trigonometric relation :
Tan B = opposite / Adjacent
Tan B = 15 / 8
LCM of the given set of counting numbers 45,20,10
Solve the system useing elimination 4x+8y=16 6x-8y=4
Answer:
x=2 and y=1
Step-by-step explanation:
Add the two equations to remove "y" and solve for x:
4x+8y=16
6x-8y=4
________
10x=20
x=2
Plug x=2 into one of the original equations to get the value of "y":
4x+8y=16
4(2)+8y=16
8+8y=16
8y=8
y=1
Therefore, x=2 and y=1
A personnel officer in a governmental agency administered four newly de- veloped aptitude tests to each of 25 applicants for entry-level clerical positions in the agency. For purpose of the study, all 25 applicants were accepted for positions irrespective of their test scores. After a probationary period, each applicant was rated for proficiency on the job. The scores on the four tests (Xi, X2. Xs, X4) and the job proficiency score (Y) for the 25 employees were as follows:
Subject Test Score Job Proficiency
Y
88
80
96
76
80
73
58
116
104
99
64
126
94
71
111
109
100
127
99
82
67
109
78
115
83 X1
86
62
110
101
100
78
120
105
112
120
87
133
140
84
106
109
104
150
98
120
74
96
104
94
91 X2
110
97
107
117
101
85
77
122
119
89
81
120
121
113
102
129
83
118
125
94
121
114
73
121
129 X3
100
99
103
93
95
95
80
116
106
105
90
113
96
98
109
102
100
107
108
95
91
114
93
115
97 X4
87
100
103
95
88
84
74
102
105
97
88
108
89
78
109
108
102
110
95
90
85
103
80
104
83
Answer:
Following are the solution to these question:
Step-by-step explanation:
Please find the complete question in the attached file.[tex]\text{Stem and leaf plot}\\\\\text{Stem-and-Leaf Display:}\ \ x_1\\\\\text{Stem-and-leaf of} \ \ x_1 \ N = 25\\\\[/tex]
[tex]1 6 2\\3 7 4 8\\6 8 4 6 7\\10 9 1 4 6 8\\(7) 10 0 1 4 4 5 6 9\\8 11 0 2\\6 12 0 0 0\\3 13 3\\2 14 0\\1 15 0\\[/tex]
[tex]\text{Stem-and-Leaf Display:}\ \ x_2\\\\\text{Stem-and-leaf of} \ \ x_2 \ N = 25\\\\[/tex]
[tex]1 7 3\\2 7 7\\4 8 1 3\\6 8 5 9\\7 9 4\\8 9 7\\10 10 1 2\\11 10 7\\(3) 11 0 3 4\\11 11 7 8 9\\8 12 0 1 1 1 2\\3 12 5 9 9\\[/tex]
[tex]\text{Stem-and-leaf of} \ \ x_3 \ N = 25[/tex]
[tex]1 8 01 85 9 0 1 3 312 9 5 5 5 6 7 8 9(4) 10 0 0 2 39 10 5 6 7 8 94 11 3 42 11 5 6[/tex]
[tex]\text{Stem-and-leaf of} \ \ x_4 \ N = 25[/tex]
[tex]1 7 42 7 85 8 0 3 410 8 5 7 8 8 911 9 0(3) 9 5 5 711 10 0 2 2 3 3 45 10 5 8 8 91 11 0[/tex]
