We are given,
[tex] \longrightarrow 0.2(10 - 5c) = 5c - 16 [/tex]
Solving the parenthesis
[tex]{ \longrightarrow 0.2 \times 10 - 0.2 \times 5c = 5c - 16 }[/tex]
[tex]{ \longrightarrow 2 - 1c = 5c - 16 }[/tex]
[tex]{ \longrightarrow 2 + 16 = 5c + 1c }[/tex]
[tex]{ \longrightarrow 18 = 6c }[/tex]
Dividing both sides by 6
[tex]{ \longrightarrow 3 = c }[/tex]
Hence c = 3.
Which number is a not a solution to the inequality m-8<2
( show your work ) The banner that football players run through is 18 feet high and 30 feet long. How much paper is needed to
construct a banner ?
Answer:
540 square feet worth of paper
Step-by-step explanation:
This is an area problem. Area is length multiplied by width. The provided length is 30 feet and the provided width is 18 feet. When they are multiplied, you get 540 square feet. Note that the height is the width in this context because if you laid the banner down, 18 would be the width. The banner is being held up, so the 18 feet is called the height.
Perform the indicated operations on the following decimals?
22.) 3005+4.308+2.47=
23.) 8.17-3.05=
24.) 0.15 x 100=
25.) 15 x 2.08=
26.) 3.75 % 2.5=
27.) 1.125 % 0.75
Answer:
3005+4.308+2.47 =7.0785
8.17-3.05=5.12
0.15 ×100=15
15×2.08=31.2
If 5x + 3 = 23 , what does 12x - 10 equal ?
Answer:
38
Step-by-step explanation:
5x+3 = 23
5x = 23-3
x = 20/5
x = 4
12x-10 = ?
12 (4) -10
48 -10
38
The value of the expression 12x - 10 will be 38.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that 5x + 3 = 23. To calculate the value of 12x -10 first calculate the value of x.
5x+3 = 23
5x = 23-3
x = 20/5
x = 4
Calculate the value of 12x - 10.
12x-10 = ?
12x-10 = 12 (4) -10
12x-10 = 48 -10
12x-10 = 38
Therefore, the value of the expression 12x - 10 will be 38.
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Find the reciprocal of 1 1/6
Answer:
So the reciprocal of 6 is 1/6 because 6 = 6/1 and 1/6 is the inverse of 6/1.
Step-by-step explanation:
What is the number which when divided by 26 gives 15 as
quotient and 8 as remainder
Answer:
398
Step-by-step explanation:
multiply 15 by 26 then add 8. check answer by dividing 398 by 26 using long division, not a calculator. you will get a decimal or fraction if you do
HelpITS DUE TMR PLZ HELP AHHHHHHHHH
Answer:
A. 1.50 x 12 = 13.5 for 12 gallons
B. i dont know sorry
C. 12.60 divided by 1.50 = 8.4 gallons
Step-by-step explanation:
What is the answer to this question
Answer:
3/14
Step-by-step explanation:
5/7 = 10/14
1 - 10/14 - 1/14 = 1 - 11/14 = 3/14
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
help 100 points AND please DONT REPLY IF YOU DO NOT KNOW THE ANSWER
Thankyou!
Answer:
[tex]than k\: you[/tex]
Solve each for X. Show your work
2x - 3(x + 5) = -10
2x - 3(x + 5) = -10
2x - 3x - 15 = -10
2x - 3x = -10 + 15
-x = 5 / : (-1)
x = -5 ← the end
100 POINTS PLEASE HELP!!!!
Answer:
a. F=1.8c + 32
b. 71.6 degrees Fahrenheit
c. c=(F-32)/1.8
d. 28.3 degrees Celcius
Step-by-step explanation:
a. Given the two data points we can create an equation in slope-intercept form.
The y-intercept is 32
Slope can be found by doing 212-32/100-0 = 180/100 = 1.8
F=1.8c + 32
b. We can use this formula to solve for Fahrenheit
F=1.8(22)+32
F=71.6 degrees
c. Isolate c
F-32=1.8c
(F-32)/1.8=c
d. We can use this formula to solve for Celcius
(83-32)/1.8=c
c= 28.3333333 degrees
We can round that to 28.3 degrees Celcius
Answer:
a)F =1.8C +32
b) f(22) = 68 F
c) C = 5/9F -17 7/9
d) 28.3
slope= 5/9
B= -17 7/9
Step-by-step explanation:
x1 y1 x2 y2
0 32 100 212
(Y2-Y1) (212)-(32)= 180 ΔY 180
(X2-X1) (100)-(0)= 100 ΔX 100
slope= 1 4/5
B= 32
Y =1.8X +32
Marc has 10 days to finish all three before exams. He plans to read an equal amount each day. How many pages should he read the first boy ?
Answer:
100 pages
Step-by-step explanation:
total number of pages = 286 + 424 + 290 = 1000
equal amount in 10 days,
number of pages hhe should read in the first day = 1000/10 = 100
What is 0.304 in fractions?
Answer:
[tex]\frac{38}{125}[/tex]
Hope this helped! Also, it would really help me out if you gave me a Brainliest. It boosts my confidence and makes my day! Would really appreciate! Thank you! (Also, if the answer is wrong, please tell me and I will check as fast as I can)
Alyssa bought 2 packs of football cards for $4.62 each, and a deck of Digimon cards
for $11.47 with two $20 bille, Alyssa found $7.72 in her pocket. How much change
did Alyasa get?
Hello :D
2 x $4.52 = $9.04
$9.04 + $11.47 = $20.51
2 x $20 = $40.00
$40.00 - $20.51 = $19.49
With change:
$40.00 + $7.72 = $47.72
$47.72 - $20.51 = $27.21
Please Help!! I am really stuck on this assignment and i need it done
Answer:
Step-by-step explanation:
11-B
Uhhhh sorry about everything else I’ll come back when I figure it out
6-D
7-C? Maybe
Answer:
Step-by-step explanation:
The correct answer is b.
27h + 16 = 178 Subtract 16
27h = 178 -16 Combine
27h = 162 Divide by 27
h = 162 / 27
h = 6
Question 6
No they are not the same. They have the same terminal point but they are going in different directions. The answer is D Direction matters.
Question 7
The vectors add if as in arithmetic if they are going in the same direction.
answer C
Find an equation of the line that passes through the given point and has the indicated slope m. Point Slope (- 5, - 7); m = 1/3
Answer:
y + 7 = 1/3 (x + 5)
Step-by-step explanation:
The format for writing a point-slope equation is: y - y1 = m(x - x1).
Step-by-step explanation:
[tex]y - y1 = m(x - x1)[/tex]
where, m = 1/3, x1 = -5 and y1 = -7
[tex]y -( - 7) = \frac{1}{3} (x - ( - 5))[/tex]
[tex]y + 7 = \frac{1}{3} (x + 5)[/tex]
[tex]y = \frac{1}{3} x + \frac{5}{3} + 7[/tex]
[tex]y = \frac{1}{3} x + \frac{26}{3} [/tex]
[tex]y = \frac{1}{3} (x + 26)[/tex]
Formula: 1/2 b*h b= 4; h=6
Answer:
12
Step-by-step explanation:
1/2•4•6 = (4•6)/2 = 24/2 = 12
Please help will give brainliest
Answer:
The mean means there are as many points below as above the mean point. Adding pairs of points to the left and right of the mean does not change the mean since the count on the left and right change at the same rate.
Step-by-step explanation:
b. 4a’(a? – b?) and 9a’(a? – bº) LCM of this expression
Answer:
Answer:
Step-by-step explanation:
1st expression:4a(a-b)
2nd expression:9a(a-b)
So L.C.M=a(a-b)4×9
=36a^2-36ab
can you help me please?
Answer:
[tex] - 16 {x}^{2} + 5 {x}^{2} + 6x - x + 4 + 2 \\ = - 11 {x}^{2} + 5x + 6 \\ thnk \: you[/tex]
Answer:
-11x^2 + 5x +6
Step-by-step explanation:
Put all the same ones together, apple with apple, orange with orange.
But in this case they alredy group them together for u, so just subtract and plus as needed
The cube of a whole number is 48 more
than the square of the same number.
What is the number?
Answer:
x = 4
Step-by-step explanation:
Let the number = x
x^3 = x^2 + 48
x^3 - x^2 - 48 = 0
The answer is 4, but I have no method of doing this rigorously. I can just show that it is true.
x^3 = 4^3 = 64
x^2 = 4^2 = 16
64 - 48 = 16
ALGEBRA 2:
Justify the equation by stating one of the properties of real numbers.
x + (37 + (-37)) = x + 0
Answer:
The property is the neutral element, in this case, it's the 0
The equation is justified using the additive inverse property of real numbers. The equation [tex]\(x + (37 + (-37)) = x + 0\)[/tex] is justified by the additive inverse property of real numbers.
According to the additive inverse property, for any real number a, there exists another real number -a such that their sum is equal to zero:
[tex]\(a + (-a) = 0\)[/tex]
In the given equation, 37 and -37 are additive inverses of each other, meaning [tex]\(37 + (-37) = 0\).[/tex] Therefore, the equation simplifies to:
[tex]\(x + (37 + (-37)) = x + 0\)\(x + 0 = x\)[/tex]
So, the equation is justified using the additive inverse property of real numbers.
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What is the mean 17,1,16,16,7,19,3,17
Answer:
mean=12
Step-by-step explanation:
soln:
given,
17,1,16,16,7,19,3,17
X=17+1+16+16+7+19+3+17
=96
N=8
Now,
[tex] \: mean = \frac{summation \: x}{n} [/tex]
[tex] = \frac{96}{8} [/tex]
=12
therefore, Mean=12
hope you understand it
PLS HELP ASAP PLS
A net of a triangular prism is show. What is the surface area, in square feet, of the triangular prism?
44 square feet
96 square feet
108 square feet
120 square feet
Expand the following:
a).
[tex]8(x - 2y)[/tex]
b).
[tex] \frac{6a + 18b - 12c}{6} [/tex]
Answer:
8x-16y
Step-by-step explanation:
b.6a/6+18b/6-12c/6Answer:
8x - 16y and a + 3b - 2c
Step-by-step explanation:
(a)
8(x - 2y) ← multiply each term in the parenthesis by 8
= 8x - 16y
(b)
[tex]\frac{6a+18b-12c}{6}[/tex] ← factor out 6 from each term in the numerator
= [tex]\frac{6(a+3b-2c)}{6}[/tex] ← cancel the 6 on numerator/ denominator
= a + 3b - 2c
Find the coordinates of the midpoint M of ST s(-2,4) t(3,9)
Answer:
M= 3.535
Step-by-step explanation:
Look at the line t then divide by 2
Find the orthogonal decomposition of vector b = 9, 0, 0 with respect to vector a = 4, −5, 0 . (Your instructors prefer angle bracket notation < > for vectors.)
The orthogonal decomposition of vector [tex]\vec b = <9, 0, 0>[/tex] with respect to vector [tex]\vec a = <4, -5, 0>[/tex] is
[tex]b'=<\frac{16}{5},\frac{8}{5},0>[/tex]
From the Question we are told that
Vector [tex]\vec b = <9, 0, 0>[/tex]
Vector [tex]\vec a = <4, -5, 0>[/tex]
Generally in the orthogonal decomposition of b to a we have
[tex]\vec b=\vec b"+\vec b'[/tex]
Where
[tex]\vec b"=(\frac{\vec b*\vec a}{\vec *\vec a})*\vec a[/tex]
[tex]\vec b"=(\frac{ <9, 0, 0>*<4, -5, 0>}{<4, -5, 0>*<4, -5, 0>})*<4, -5, 0>[/tex]
[tex]\vec b"=<\frac{4}{5},\frac{-8}{5},0>[/tex]
Therefore
[tex]b'= \vec b- \vec b"\\\\b'=<4,0,0>-<\frac{4}{5},\frac{-8}{5},0>[/tex]
[tex]b'=<\frac{16}{5},\frac{8}{5},0>[/tex]
in Conclusion
The orthogonal decomposition of vector [tex]\vec b = <9, 0, 0>[/tex] with respect to vector [tex]\vec a = <4, -5, 0>[/tex] is
[tex]b'=<\frac{16}{5},\frac{8}{5},0>[/tex]
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CAN SOMEONE HELP PLEASE.GIVING 25 POINTS
Luke recorded the grade-level and instrument of everyone in the middle school
School of Rock below.
Seventh Grade Students
Eighth Grade Students
Instrument # of Students
14
Instrument # of Students
Guitar
5
Bass
9
Drums
9
Keyboard
9
Guitar
Bass
Drums
Keyboard
13
15
6
Based on these results, express the probability that an eighth grader chosen at
random will play an instrument other than bass as a fraction in simplest form.
Answer:
35/48
Step-by-step explanation:
You just want to focus on the 8th graders. Add add the total number of students together to get your denominator. Then just put what your # of bass students are and that is your probability in fraction form. ( the fraction can't be simplified smaller than it already is.)
please any help it's urgent for me.......ok....
Answer:
[tex]here \: tn + 1 = 3 \\ tn = 2 \\ put \: n = 1 \\ t1 = 2 \\ put \: n = 2 \\ t2 = 2 \\ put \: n = 3 \\ t 3 = 2 \\ for \: all \: n \: \: values \: t = 2 \\ thank \: you[/tex]
In a three-person tug-of-war, three ropes are tied at a point. Gary is pulling due East with a force of 650 Newtons, June is pulling due North with a force of 450 Newtons, and Levi is pulling the third rope. The knot in the middle is not moving. What is the magnitude of Levi's effort?
A) 34.7 Newtons
B) 55.3 Newtons
C) 550 Newtons
D) 790.6 Newtons
Answer:
Its D) 790.6
Step-by-step explanation:
All I can say is that I aced the test so.
The answer to the question what is the magnitude of Levi's effort is D 790.6 N
Since Gary is pulling due East with a force of 650 Newtons, June is pulling due North with a force of 450 Newtons, the force due to Levi will be equal to the resultant force from Gary and June.
Since both Gary and June pull due East and due North respectively and these directions are perpendicular to each other, their resultant force is
R = √[(650 N)² + (450 N)²]
R = √[422500 N² + 202500 N²]
R = √[625000 N²]
R = 790.57 N
R ≅ 790.6 N
Since the resultant force due to Gary and June is 790.6 N, this is equal to the magnitude of Levi's effort since the knot does not move.
So, the magnitude of Levi's effort is 790.6 N
So, the answer to the question what is the magnitude of Levi's effort is D 790.6 N
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