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".
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Adam wraps the top edge of the gift box shown with gold ribbon. The top and bottom edges of the box are square. If Adam has cm of gold ribbon, does he have enough to decorate the top of the box?
This question is incomplete and lacks the required diagram
Complete Question
Adam wraps the top edge of the gift box shown with gold ribbon. The top and bottom edges of the box are square. If Adam has 24 1/4 inches of gold ribbon, does he have enough to decorate the top of the box?
Answer:
Yes, he has enough ribbon to decorate the top of the box.
Step-by-step explanation:
From the above question, we are told that the volume of the box = 296cm³
Volume of the box = a³
296cm³ = a³
a = √296cm³
a = 6.6644437033cm
The side length of the box = 6.6644437033cm
The length of the ribbon = 24 1/4 inches
= 24.25 inches long.
Converting this to centimeters =
1 inch = 2.54cm
24.25 inches =
24.25 × 2.54 cm
= 61.595cm.
Length of the ribbon = 61.595cm.
Since from the above, we know the edges of the cube = square
Edge length of the box = 6.6644437033cm
The perimeter of a top of the box
= 4a
= 6.6644437033cm × 4
= 26.657774813 cm
Subtracting the perimeter of the top of the box from the length of the ribbon
61.595cm - 26.657774813 cm
= 34.937225187 cm ( ribbon left)
Therefore, he has enough ribbons left
(5/8 x - 10) - (1/8 x - 12)
Answer: 16x-25 over 4(4x-5)(2x-3)
Step-by-step explanation:
Suzuki starts her hike at 270 feet below sea level. When she reaches the end of the hike, she is still below sea level at -135 feet. What was the change in elevation from the beginning of Suzi's hike to the end of the hike?
Answer:
135feet
Step-by-step explanation:
9.
An amusement park charges $15 for admission and $1.50 for each ride. You go to the park with $30. Write and
solve an inequality that represents the possible number of rides you can go on.
Answer: 15+1.50x ≤ 30 ; less than or equal to 10 rides
Step-by-step explanation:
Subtract 15 on both sides. 15+1.50x ≤ 30Divide 1.50 on both sides. 1.50x ≤ 15x ≤ 10On what dThe function f(x) = x5 + (x + 3)2 is used to create this table. A 2-column table with 4 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1. The second column is labeled f of x with entries negative 31, question mark, 9, 17. Which value completes the table? –17 –3 1 3
Answer:
the answer is 3
Step-by-step explanation:
I just did it
The value of the function for x=-1 is 3.
The given function is [tex]f(x)=x^{5} +(x+3)^{2}[/tex].
What is a function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
From the table, we get coordinates as (-2, -31), (-1, y), (0, 9) and (1, 17).
To find the y value of the coordinate (-1, y), substitute x=-1 in the given function.
That is, [tex]f(-1)=(-1)^{5} +(-1+3)^{2}=3[/tex]
Therefore, option D is the correct answer.
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The baseball team is ordering hats for the upcoming season. The hat company
charges a certain amount per hat plus an initial fee of $55. There are 14 players on the
baseball team. If there are 14 players on the baseball team and the hat order comes to a
total of $363, how much does each hat cost?
What is your dream car
Answer:
Toyota like my mom hajaha
Either a Ford like my dad or a Audi like my aunt lol
Select the correct answer
(0,b)
(-a, 0)
(0,0)
(a,0)
(0, -b)
What is the perimeter of the polygon in the diagram?
A. 2/(0-6)
B. 4(a+b)2
OC. 2(22+62)
OD. 4√22+6²
Answer:
b
Step-by-step explanation:
The perimeter of the polygon is 4√(a² + b²).
Option D is the correct answer.
What is the distance between two points of a line?The distance between two points of a line is given as:
Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
We have,
The polygon is formed by joining the four-point:
(0, b), (-a, 0), (a, 0), and (0, -b)
The distance between two points (x1, y1) and (x2, y2) is given by the formula:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Now,
Using this formula, we can find the lengths of the sides of the polygon:
The distance between (0, b) and (-a, 0) is d1.
= √[(0 - (-a))² + (b - 0)²]
= √(a² + b²)
The distance between (-a, 0) and (0, -b) is d2.
= √[(0 - (-a))² + (-b - 0)²]
= √(a² + b²)
The distance between (0, -b) and (a, 0) is d3.
= √[(0 - a)^2 + (0 + b)^2]
= √(a² + b²)
The distance between (a, 0) and (0, b) is d4.
= √[(0 - a)²+ (b - 0)^2]
= √(a² + b²)
The perimeter of the polygon is:
P = d1 + d2 + d3 + d4
= 4√(a² + b²)
Thus,
The perimeter of the polygon is 4√(a² + b²).
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please help ! Easy 7th grade math ! It’s talking about integers!!
how do you simplify -2
It's already simplified.
True or false? <4≈<5
Answer:
false FALSE FALSE FALSE
A dinner for 7 people costs $215. 75. Approximately how much will each person pay if they split the bill evenly?
Answer:$30.82
Step-by-step explanation:
215.75
You divide by 7 because there are 7 people
215.75 divided by 7
What is the value of -34 +2(x-7) if x=-1?
Answer:
Step-by-step explanation:
HELP!!!Find the measures for angles A and B. Show your work. A. m∠A=44° m∠B=54° B. m∠A=44° m∠B=46° c. m∠A=25° m∠B=75°
Answer: I think B is answer to ur question
Step-by-step explanation:
Kim poured a 24-ounce container of orange juice into 5 cups. She poured the same amount of juice into each cup. Write a rational number that represents the amount of juice in each cup.Required to answer.Single line text.
Answer:
4.8
Step-by-step explanation:
24/5 = 4.8
A rational number is any whole number, fraction, finite decimal or repeating decimal. Therefore 4.8 = rational number.
A rational expression to represent the amount of juice in each cup is 24/5.
What is a fraction?A fraction is a part of the whole represented by a/b, where a and b are any integers.
Given, Kim divided 24 ounces of orange juice into 5 cups.
Therefore, the amount of juice in each cup is:
24/5
Hence, a rational expression to represent the amount of juice in each cup is 24/5.
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Suki typed 245 words in 3
minutes. What is Suki’s typing rate
can someone also give me how to show my work
Answer:
81 2/3 words per minute
Step-by-step explanation:
245/3= 81 2/3
Answer:
Suki's typing rate is 82wpm
Step-by-step explanation:
Words per minute is a typing rate calculated by the minutes that the person has typed for and the amount of words that they typed. In this case I did 245 / 3 which is 81.6666666667 , but words per minute has to be round up to the nearest number, so if it were 81 to 81.49 it would go to 81, if it were 81.5 to 81.99 it would go to 82. So since it is 81.6 it goes up to 82wpm.
Someone please help, this is a 4 weeks text pls pls pls help.!
Answer:
the lines are sinceatect
Step-by-step explanation:
For a field trip 12 students rode in cars and the rest filled 8 buses.
How many students were in each bus if 324 students were on the
trip?
Help plzzzz
Solve the equation. Show your work / explain your steps. x - 5 + 3x = -21
Answer:
X = -4
Step-by-step explanation:
See image for explanation
Answer:
x=4
Step-by-step explanation:
x - 5 + 3x = -21
add 3x and x and add 5 to both sides of the equation
4x = -16
then divide both sides by 4
x = 4
ya answer is x = 4
8x + 4(x - 1) simplified
Answer:
12x-4
Step-by-step explanation:
8x+4(x-1)
multiply whats inside the parenthesis by 4
8x+4x-4
add like terms
12x-4
Hey guys so I have a question I am not really sure about and confused so let's say we have an inequality its
-12x 6 so the sign flips for this one now how would the first one work with both negatives will this inequality flip as well or stay the same please I just keep on getting confused.
Answer:
Step-by-step explanation:
This is an easier way
[tex]-10p<-70\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\left(-10p\right)\left(-1\right)>\left(-70\right)\left(-1\right)\\\\Simplify\\\left(-10p\right)\left(-1\right)>\left(-70\right)\left(-1\right)\\\\\mathrm{Divide\:both\:sides\:by\:}10\\\frac{10p}{10}>\frac{70}{10}\\\\Simplify\\p>7[/tex]
I think this is what u meant
[tex]\frac{-10p}{-10} < \frac{-70}{-10} \\\\p > 7[/tex]
can someone please help me
Answer:
i think the answer would be none.
Step-by-step explanation:
Together a refrigerator and a desk cost $216. Find the price of each if the refrigerator costs three times as much as the desk
Refrigerator 162$ and desk cost 54
Step-by-step explanation:
Cost of refrigerator and desk =$2163x+x=2164x=216x=216/4x=54now, Cost of refrigerator = 3x = 3*54 = 162Mixed nuts sell for $7.89 a pound. Leticia fills a bag and weighs it. The bag weighs 2.3 pounds. About how much will the bag of nuts cost? Estimate $7.89(2.3). The bag of nuts will cost about .
Answer:
About $16
Step-by-step explanation:
To find the answer first round the weight from, 2.3 to 2. Next round the price per pound from $7.89 to 8.00. Last, multiply the weight of the bag by the price per pound. I hope this was helpful. Have a wonderful day!
Answer:
the person above me is right give them 5 stars and thanks.
Step-by-step explanation:
Which of these is the algebraic expression for "six more than the product of seven and some number?"
6 + 7 + x
7x + 6
6 + 7 ÷ x
7 + 6x
Thank you for answering if you do :-)
JESUS LOVES YOU
Answer:
6+7x
Step-by-step explanation:
Is -4 greater than -4.25?
Answer:
Yes
Step-by-step explanation:
The smaller the negative number, the greater it is. i.e., -230 < -9.
Answer:
yes
Step-by-step explanation:
it is closer to zero on a number line, therefore the value of -4 is higher even though it's negative
What is the simplest form of 63/91
Answer:
Step-by-step explanation:
9/13
divide them by 7
Gershon lives 3 10 mile from the soccer fields. How far does Gershon walk if he walks from home to the soccer fields and back home? How many miles did he walk
Answer:
Gershon walked 620 mile
Step-by-step explanation:
From the question,
Gershon lives 310 mile from the soccer fields,
This means the distance from where Gershon lives to the soccer fields is 310 mile.
Likewise, the distance from the soccer fields to where Gershon lives his as well 310 mile.
So, if Gershon walks from his home to the soccer fields, he will cover a distance of 310 mile.
Then, if Gershon walks back home from the soccer fields, he will cover another distance of 310 mile.
Now, To determine how many miles he walked,
Total number of miles Gershon walked = The distance from where Gershon lives to the soccer fields + The distance from the soccer fields to where Gershon lives
Hence, Total number of miles Gershon walked = 310 mile + 310 mile
Total number of miles Gershon walked = 620 mile
Hence, Gershon walked 620 mile
in June Mr Chen's students read 40 books. In July, they read 30 books. what is the percent increase or decrease in the number of books they read?
Answer:95%
Step-by-step explanation:
Answer:
25% decrease
Step-by-step explanation:
did the quiz
what is 5000000 times 21113221
Answer:
1.0556611e+14
Step-by-step explanation:
1.05566105 + 14