Answer:
m = -1/7
Step-by-step explanation:
7 - 8 = -1
9 - 2 = 7
m = -1/7
can someone help pls 20 points
A teacher spends $354 on costumes and microphones for six cast members in a play. Each cast member receives a costume that costs $38 and a microphone that costs $c What did the teacher spend on each microphone? The teacher spent $ ___on each microphone. Question 2 Justify your answer.
The teacher spend some amount on buying costumes and microphones for 6 cast members.
GiveN:
Cost of each costume = $38Cost of each microphone = $cTotal money spent = $354Let's frame the equation. Total money is the total amount spent for 6 cast members.
Money spent on costumes = $38 × 6
Money spent on microphone = $c × 6
Equation:
[tex]6 \times 38 + 6 \times c = 354[/tex]
Taking 6 as common,
[tex]6(38 + c) = 354[/tex]
Dividing 6 from both sides,
[tex] \dfrac{6(38 + c)}{6} = \dfrac{354}{6} [/tex]
[tex]38 + c = 59[/tex]
Solving further,
[tex]38 + c - 38 = 59 - 38[/tex]
[tex]c = 21[/tex]
So, the cost of each microphone = $21
The teacher spent this much on each microphone.
#CarryOnLearning
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The teacher spent $21 on each microphone.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
The total amount of teachers have = $354
Cost of costume for all 6 members ;
6 × 38 = $228
Cost of microphone for all 6 members ;
6 × c = 6c
Now,
Cost of microphone + Cost of costume = total amount
6c + 228 = 354
6c = 126
c = 21
Hence "The teacher spent $21 on each microphone".
For more about the equation,
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what is 4n-2n=4 i got lost on that
Answer:
n = 2
Step-by-step explanation:
4-2 = 2n
[tex]\frac{2n}{4} =2[/tex]
4 x 2 = 8
2 x 2 = 4
8 - 4 = 4
Willie makes $0.12 off of every shirt he sells. He sold 179 shirts this week, how much did he make in total?
Answer:
$21.48
Step-by-step explanation:
0.12*179=21.48
This is a serious question.
What is 69 x 1 59/20
Will give brainliest
Answer:
10971/20
Step-by-step explanation:
69 * 159/20
69/1 * 159/20
69 * 159 = 10971
1 * 20 = 20
So the answer is basically 10971/20.
can someone help me answer this please
Mr. Chong celebrated his seventy fifth birthday in 1998. In what year was he born?
Answer:
1924
Step-by-step explanation:
1998
- 75
--------
1924 so he was born in 1924
What is the prime factorization of 96? 8 · 12 2 · 2 · 2 · 2 · 3 25 · 3 25 · 32
Answer:
2^5 *3
Step-by-step explanation:
You can solve this multiple ways but should get 2^5*3
Answer:
[tex]2^5*3[/tex]
Step-by-step explanation:
[tex]96\\\\=2*48\\\\=2*2*24\\\\=2*2*2*12\\\\=2*2*2*2*6\\\\=2*2*2*2*2*3\\\\=2^{5}*3[/tex]
A right triangle has one vertex on the graph of y = x^8, x>0, at (x, y), another at the origin, and the third on the positive y-axis at (0, y), as shown in the figure. Express the area A of the triangle as a function of x.
Answer:
Area = [tex]\frac{1}{2}x^{9}[/tex]
Step-by-step explanation:
From the graph attached,
Triangle given is a right triangle.
This triangle ha three vertices (0, y), (x, y) and (0, 0).
Therefore, measure of the base = x units
And measure of the height of the triangle = y units
Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(x)(y)[/tex]
Since, y = [tex]x^{8}[/tex]
Therefore, Area of the triangle = [tex]\frac{1}{2}(x)(x)^8[/tex]
= [tex]\frac{1}{2}x^{9}[/tex]
Area of the given right triangle is [tex]\frac{1}{2}x^{9}[/tex] units².
The afternoon temperature in Biscoff Bay was – 2°F. By midnight, a warm front moved in and the temperature rose to 11°F. What was the change in temperature from afternoon to midnight? To solve the problem, Ross subtracted 11–( – 2) and came up with an answer of 13°F. Is Ross correct? Why or why not?
Answer:
Ross is correct. He is right because if you do 11- (-2) the double negatives turn into a positive and the answer is 13.
The answer is "Yes", Ross is right, and the temperature change will be 13 °F.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the mentioned data in the question,
The afternoon temperature in Biscoff Bay = -2 °F
The temperature rose at midnight = 11 °F
Then, the change in temperature will be,
It is changing from -2 °F to 11 °F then,
= 11 - (-2) = 13 °F
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What is the solution to the equation 3x + 2(x − 9) = 8x + x − 14? (5 points)
Answer:
x= -1
Step-by-step explanation:
Answer:
x = -1
Step-by-step explanation:
3x+2(x-9)=8x+x-14 ;; equation
simplify the equation to the form
3x+2(x-9)=8x+x-14
reorder the terms in parentheses
3x+(+2x-18)=8x+x-14
remove unnecessary parentheses
+3x+2x-18=+8x+x-14
move all terms containing x to the left and all other terms to the right.
+3x+2x-8x-1x=-14+18
simplify left and right side of the equation.
-4x=+4
divide both sides of the equation by -4 to get x.
x=-1
Given the equation: y=(x-1)(x+3). what are the x-intercepts? *
Answer:(
(1,0),(-3,0)
Step-by-step explanation:
f(x) = 4x - 2
g(x) = 3x - 1
find (f - g) (2)
Answer:
Step-by-step explanation:
4x - 2 - 3x + 1 = x - 1 is the solution
Please help. What is the slope for #2?
Answer: -4
Step-by-step explanation:
To find the slope, you want to use the slope formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. You can use any two points to solve. Let's use (-2,3) and (-1,-1).
[tex]m=\frac{-1-3}{-1-(-2)} =\frac{-4}{1} =-4[/tex]
Another way to tell is by looking at the arrows with a -4 written next to it. That also tells you what the slope is.
How do you solve this equation?
13 – 3r =-26
Answer:
r = 13
Step-by-step explanation:
-3r=-26-13
-3r=-39 divide by 3
r=13
Step-by-step explanation:
13 - 3r = -26
13 − 3r −13 = −26 − 13
−3r=−39
divide by 3
r = 13
Make a table of a linear function whose equation is y=-2x +4.
Х
у
-1
0
I
1
2
Answer:
Step-by-step explanation:
y = -2x + 4
x y
-1 6
0 4
1 2
2 0
y = -2(-1) + 4 = 2 + 4 = 6
y = -2(0) + 4 = 0 + 4 = 4
y = -2(1) + 4 = -2 + 4 = 2
y = -2(2) + 2 = -4 + 4 = 0
Help please solve by factoring
We know that 6x(-7) is -42 and we also know that 6+(-7) is -1.
So we can write
[tex]x^2+6x-7x-42[/tex]
[tex]x(x+6)-7(x+6)[/tex]
[tex](x-7)(x+6)[/tex]
So our solutions are [tex]x=7,-6[/tex]
Which equation has the solution x =
3?
8x – 1= 23
Submit Answer
O 82 +1= 21
6x + 3= 81
6x + 7 = -25
Let's solve each equation for x
8x - 1 = 23
Add 1 to each side.
8x = 24
Divide both sides by 8
x = 3
Luckily, we already found the equation which has the solution of x = 3
The answer is: 8x - 1 = 23
what number is 10 times less than 20?
Answer:
180
Mathematically, 10 times less than 20 would be: Take 20, subtract (10 x 20). Answer: -180.
At a game booth, a student gets a box of candy as the prize for winning a game. The boxes come in four colors: white, red, green, and blue. There are 8 boxes of each color. All the boxes are equally likely to be given away as prizes. Which expression shows the probability of the first winner receiving a white box and the second winner also receiving a box of the same color? (1 point) 8 over 32 multiplied by 8 over 31 8 over 32 plus 8 over 31 8 over 32 plus 7 over 31 8 over 32 multiplied by 7 over 31
Answer:
32 multiplied by 8 over 31 8 over 32 plus
Step-by-step explanation:
i think this is the answer not quite sure tho
Answer:
32 multiplied by 8 over 31 8 over 32 plus
Step-by-step explanation:
what is 2 (x+2) + 3x =2 (x+1) + 1
Step-by-step explanation:
2x+4 +3x = 2x +2 +1
4+x= 2x+3
4-3=2x-x
1=x
x=1
give the slope of the line (if it exists) and the y intercept (if it exists) and graph the line 5y=3. what is the slope?
Answer:
0
Step-by-step explanation:
1/5(6+3+1)^2
Need answer asap
Evaluate the expression for d = 43.4.
Write your answer as a decimal or whole number.
4.4(d − 35) =
Answer:
36.96
Step-by-step explanation:
given
d = 43.4
equation
4.4(d - 35) =
plug d in
4.4(43.4 - 35) =
solve within parentheses
4.4(8.4) =
multiply
36.96
The Square Root of a whole number is Always, Sometimes or Never a rational
number? *
Always
Sometimes
Never
The answer is Sometimes
Please answer fast! (10 points)
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Line m has no y-intercept, and its x-intercept Is (3, 0). Line n has no x-intercept, and its y-intercept Is (0, -4).
The equation of line m is ____
and the equation of line n is ____
Answer:
can u show me a picture of this problem.
Step-by-step explanation:
Defined as a set of all points equidistant from a given point.
A)
arc
B)
angle
C)
circle
D)
line segment
Answer:
C
The answer is C and the distant from a given point to a point on the Circle is radius
Give another name for line g
Answer:
line b
Step-by-step explanation:
(please help) the question is in the comments because idk whats going on with brainly-
HELP ME PLEASE I NEED THIS and tell me how to solve for it
Answer:
616.6 square cm
Step-by-step explanation:
Area of a regular octagon
[tex] = 2 {a}^{2} (1 + \sqrt{2} ) \\ = 2 \times {12}^{2} (1 + 1.414) \\ = 2 \times 144 \times 2.141 \\ = 288 \times 2.141 \\ = 616.608 \\ = 616.6 \: {cm}^{2} [/tex]