The option that could be the total number of teachers and students in this school is C. 496.
How to calculate the value?It should be noted that from the information given, at Jackson High School, the ratio of teachers to students is 1 to 40.
In this case, based on the information, the option that illustrates the information will be 496.
In this case, 12 + 480 = 496
It should be noted that 12/480 = 1/40. This illustrates the ratio 1:40.
Therefore, the correct option is C.
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At Jackson High School, the ratio of teachers to students is 1 to 40. Which of the following could be the total number of teachers and students in this school?
240
520
496
88
What is the 7 1/2 divided by 1 9/10 in the simplest form
Answer:
3 18/19
Step-by-step explanation:
7 1/2 ÷ 1 9/10 =
= 15/2 × 10/19
= 150/38
= 75/19
= 3 18/19
7. You take a history test that has 100 regular points and 8 bonus points. You get a score of 91 which includes 4 bonus points. Let x represent the score you would have had without the bonus points. Which equation represents this situation? . x + 91 = 100 b. ×+4=91 C. x+4=108
Answer:
B
Step-by-step explanation:
91 - 4 is 87
87 + 4 = 91
I am not entirely sure what to do in this question but if u have a time limit then I would put the answer if not just wait for another answer.
Eric walks around a man made circular lake three times how far in km has he walked ?
Considering the circumference of a circle, it is found that Eric has walked 151.68 km.
What is the missing information?The missing information is that the lake is a circle of radius 5 miles.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by:
C = 2πr.
Hence the circumference in miles of the circle is:
C = 2π x 5 = 10π miles.
This is the length of one lap, hence the length of 3 laps is:
3 x 10π = 30π miles.
In kilometers, the distance is:
30π x 1.60934 = 151.68 km.
Hence Eric has walked 151.68 km.
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Write the equation of the line that passes through the points (7,-4) and (5,-2).
Put your answer in fully simplified point-slope form, unless it is a vertical or
horizontal line.
Step-by-step explanation:
-2-(-4)= 2
5-7=-2
2/-2= -1
M= (-1)
y=mx+b
-2=(-1)(5)+b
-2=(-5)+b
+5. +5
3=B
Y= -1x+3
The stock bar chart to the right presents trading
information for the week of April 28 for the Ford Motor
Company.
● Which day had the greatest high price?
● What was the day’s close on April 30?
The stock bar chart of Ford the greatest high price is on 12/09/22 for US: F: $15,540. The day close on April 30 that with a high at April 27, 2022, 15.10 high.
Initial Data Representation Lists or graphs can be used to present data. A stock chart is a graphical representation. Most stock charts display historical data regarding a stock's trading prices and volume. The stock bar chart is a typical stock chart type.
A bar chart shows the open, high, low, and closing prices of a security or asset over a predetermined amount of time. A price bar's vertical line depicts the high and low prices for the specified time period. Each price bar's left and right horizontal lines stand in for the open and closing prices.
Hence, the stock bar chart of Ford is the greatest high price is on 12/09/22 for US: F: $15,5400 and the day close on April 30 that with a high at April 27, 2022, 15.10 high.
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Please help me i need help with this i dont understand it see photo whats the name of the equations
Answer:
commutative property of multiplicationassociative property of additionadditive inverse propertymultiplication property of zeroStep-by-step explanation:
You are asked to identify the real number properties that justify various changes in the way an expression is written.
Properties of numbersIn general, there are associative, commutative, identity, and inverse properties of addition and multiplication. You can use these properties to simplify and rewrite expressions, and to help perform arithmetic.
This is basically a vocabulary question, to see if you know the names associated with the behaviors these properties describe.
Commutative propertiesWhen an operation (such as addition or multiplication) has the commutative property, it means the order of its operands does not matter
addition: a + b = b + a
multiplication: a × b = b × a
Associative propertiesWhen an operation has the associative property, it means that grouping of operands does not matter.
addition: (a + b) + c = a + (b + c)
multiplication: (ab)c = a(bc)
Identity propertiesWhen an operation is performed using its identity element, the value of the other operand is not changed:
addition: a + 0 = a
multiplication: a × 1 = a
Inverse propertiesWhen an operation has an inverse, performing the operation with the inverse produces the identity element.
addition: a + (-a) = 0
multiplication: a × (1/a) = 1
Note: these last two properties are used to simplify and solve algebraic expressions. They let you "undo" operations done to variables or expressions.
Questions at handYou can match the given expressions to the example expressions shown above. The "multiplication property of zero" is also known as the "zero product rule": a product is zero if and only if a factor is zero.
[tex]\begin{aligned}d\cdot4=4\cdot d\quad&\text{commutative property, multiplication}\\(2+a)+8=2+(a+8)\quad&\text{associative property, addition}\\m+(-m)=0\quad&\text{additive inverse property}\\0\cdot b=0\quad&\text{multiplication property of 0}\end{aligned}[/tex]
The perimeter of the parallelogram below is 32.2. What equation would you set up to solve for x? What is the value of x?
The value of x from the given figure is 8/3
Perimeter of a parallelogramThe sum of all the ides of the parallelogram is perimeter. According to the given figure;
2(3x-8)+2(16) = 32.2
Expand to have:
6x-16 + 32 = 32.2
6x + 16 = 32.2
Subtract 16 from both sides
6x = 16
x = 16/6
x = 8/3
Hence the value of x from the given figure is 8/3
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please help
please hurry
HELP! I need this done now!
John ran 3 miles in 25.5 minutes. The equation y = 8.5x can be used to represent this situation.
What is the constant of proportionality? Express your answer as a decimal.
Answer:
.................................................................................................................................
Triangle ABC is an equilateral triangle. Use the figure to find the value of x
The value of x in the equilateral triangle is 10
The equilateral triangle's three characteristics are: Equal on all three sides. The three angles are identical. Three symmetry lines may be seen in the figure. Additionally, each inside angle is identical (60 degrees).
A unique isosceles triangle with three equal sides is called an equilateral triangle. The formulas that we take into account most frequently for a triangle are: Dimensions of an equilateral triangle , the equilateral triangle's circumference, Equilateral triangle's height
An equiangular triangle's area can be calculated using the following formula:
If A=√3a2/4, then ABC's perimeter 3a
where a is the triangle's side length.
In equilateral triangle, the sum of the 3 angles are 180°.then the angle of each side is 60°
From the given data,
(7x-10)°=60°
7x=60+10
7x=70, x=10
Hence the value of x is 10
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Evaluate the function /(x) = 5x²+2x for the given value of x. Simplify your answer.
h(-4)
Answer:
h(-4) = 72
Step-by-step explanation:
Given:
h(x) = 5x² +2x
Evaluate the function h(x) = 5x²+2x for x=-4 means to
find h(-4) by substituting x with -4:
h(-4) = 5·(-4)² +2·(-4)
h(-4) = 5·16 -2·4
h(-4) = 5·16 -2·4
h(-4) = 80 -8
h(-4) = 72
If 13 is subtracted from a number, the result is -4. Find the number.
2. Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
The expression of each person's contribution is:
Me - 18 / 72.90 = 0.25
Friend 1 - 17.40 / 72.90 = 0.01
Friend 2 - 18.90 / 72.90 = 0.26
Friend 3 - 18.60 / 72.90 = 0.26
What is a fraction?A fraction is used to represent the portion/part of the whole thing.
We have,
The total amount from each person:
= 18 + 18.60 +18.90 + 17.40
= $72.90
We can write the amount that each person will pay using fractions as:
Fraction = Total bill of individual share / Total bill all together
Me - 18 / 72.90 = 0.25
Friend 1 - 17.40 / 72.90 = 0.01
Friend 2 - 18.90 / 72.90 = 0.26
Friend 3 - 18.60 / 72.90 = 0.26
Thus the expression of each person's contribution is:
Me - 18 / 72.90 = 0.25
Friend 1 - 17.40 / 72.90 = 0.01
Friend 2 - 18.90 / 72.90 = 0.26
Friend 3 - 18.60 / 72.90 = 0.26
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Select the correct answer.
Which function defines (g. f)(z)?
f(z)
g(z)
log(5z)
5z + 4
OA
(9. f)(z)
OB.
(g-f)(z): = 5x + 4+ log(5z)
OC (g. f)(z) = 5z log(5z) +4
OD. (g. f)(z) = 5z - 4-log(5z)
5z log(52) + 4log(5z)
Answer: A. (g•f)(x)= log(5x) ( 5x + 4)=5x log(5x) + 4log(5x)
Step-by-step explanation:
Hope this helps :)
Natalie works as a playground supervisor for 8 weeks during the summer at a rate of
$15.27/h. She works a 40-hour week but averages 3 hours of overtime each week,
paid at time and a half. How much will she earn each week, and for the whole
summer?
Natalie will be paid $656.61 every week in addition to $10505.76 for the summer.
What is an expression?The combination of numerical variables and operations expressed by the addition, subtraction, multiplication, and division signs constitutes a mathematical expression.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that Natalie works as a playground supervisor for 8 weeks over the summer and makes $15.27 per hour. She works a 40-hour work week, although she usually works 3 hours of overtime.
For a week = ( 40 + 3 ) x 15.27 = $656.61
For a summer = 4 x 4 = 16 weeks
For a summer = 16 x $656.61 = $10505.76
Therefore, Natalie will be paid $656.61 for a week and for summer $10505.76.
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John sold 36 cookbooks at 27 dollars each. How much did he make?
Answer:
$972
36 × 27 = 972
compute the indicated derivative U(t) = 5.1t^2 − 1.7t; U'(6)
Answer: 59.5
Step-by-step explanation:
U(t) = 5.1t^2 − 1.7t
U'(t)=2*5.1t-1.7
U'(t)=10.2t-1.7
U'(6)=10.2(6)-1.7
U'(6)=61.2-1.7
U'(6)=59.5
leg 1: is 5 and leg 2: is 12 what is the hypotenuse
Answer:
13
Step-by-step explanation:
Hypotenuse is c
so c^2 = a^2 + b^2
c^2 = 5^2 + 12^2
c^2 = 25 + 144 = 169
c^2 = 13^2
c = 13
find the value of px5 when p=4.
What is the coordinate of the midpoint of GO?
I need help please
Answer:
0
Step-by-step explanation:between 4 and -4 is 0
Grayson's retirement party will cost $60 if he invites 10 guests. If there are 86 guests, how much will Grayson's retirement party cost? Solve using unit rates.
Answer:
Grayson's party will cost $516.
Step-by-step explanation:
Start with putting a unit rate for money per person
60/10
Divide by 10
6/1 (6$ per person)
Then multiply by 86 (# of guests attending)
86 x 6 = 516
Find the LCM of 32, 40, 36?
Answer:
The least common multiple of 40, 36 and 32 is 1440.
Step-by-step explanation:
Greetings !
Definition :-The LCM of a, b
Is the smallest positive number that is divisible by both a and b.
prime factorization of 32:
[tex]2.2.2.2.2[/tex]
prime factorization of 40:
[tex]2.2.2.5[/tex]
prime factorization of 36:
[tex]2.2.3.3[/tex]
Compute a number comprised of factors that appear in at least one of the following
32,40,36
[tex] = 2.2.2.2.2.5.3.3[/tex]
Multiply the numbers 2.2.2.2.2.5.3.3 = 1440
[tex] = 1440[/tex]
Hope it helps !!!
Write a slope-intercept equation for a line that passes through (7,0) and (-5,3).
Answer:
y = -1/4x + 7/4
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = (3 - 0)/(-5 - 7) = 3/(-12) = -1/4
using m = -1/4, y = 0 , x = 7
y = mx + b
0 = -1/4(7) + b
0 = -7/4 + b
b = 7/4
y = -1/4x + 7/4
Mayerlin needs to order some new supplies for the restaurant where she works. The restaurant needs at least 623 forks. There are currently 223 forks. If each set on sale contains 8 forks, write and solve an inequality which can be used to determine , the number of sets of forks Mayerlin could buy for the restaurant to have enough forks.
Answer:
≥ 50 sets
Step-by-step explanation:
Mayerlin wants to know how many sets of 8 forks she needs to buy to increase her supply of forks from 223 to at least 623.
SetupThe number of additional forks will be the number of sets (s) times 8 forks each. Mayerlin wants at least 623.
223 +8s ≥ 623 . . . . . . the inequality
SolutionSubtract 223:
8s ≥ 400
s ≥ 50 . . . . . . divide by 8
Mayerlin could by at least 50 sets of forks to have enough.
E
3
A. bd
If a, b, c, and d are four different numbers and the proportion
a C
B. a b
C
I
C. b
a
11
IL
D. a+b
b
d
C
HE
3
c+d
d
E
a
11
U
bd
40:09
is true, which of the following is false?
If a, b, c, and d are four different numbers and the proportion. The given statement is true.
We take one example,
When you split them, they will all equal the same thing.
A = 5 ,B = 20 20 divided by 5 equals 4
C = 28 ,D = 7 28 divided by 7 equals 4
The ratio is used to compare two amounts of the same type. For two numbers, a and b, the ratio formula is written as a: b or a/b. The ratio and proportion concepts are based on fractions. Ratio and proportion are the fundamental building blocks for many other notions in mathematics. Ratio and proportion are useful in addressing many everyday difficulties, such as comparing heights, weights, distance, or time, or when combining ingredients in cookery, and so on.
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Dexter Technology maintains its records using cash-basis accounting. Consider the following:
During the year, the company received cash from customers, $45,000, and paid cash for salaries, $24,500.
At the beginning of the year, customers owe Dexter $1,200. By the end of the year, customers owe $7,000.
At the beginning of the year, Dexter owes salaries of $6,000. At the end of the year, Dexter owes salaries of $3,500.
Based on the records of Dexter Technology, the net income using the cash-basis is $20,500 and the net income using accrual basis is $28,800.
What is the net income?Using the cash basis, the net income will be only for transactions that cash has either been received for or paid for:
= Cash from customers - Cash paid for salaries
= 45,000 - 24,500
= $20,500
The net income using accrual caters for the expenses and revenue that happened in a year regardless of when they are paid:
= Revenue - Salaries expense
= (45,000 - 1,200 + 7,000) - (24,500 - 6,000 + 3,500)
= $28,800
Question is:
Determine cash-basis net income and accrual-basis net income for the year.
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If f(x) = 4x-2, what does f(-2) equal?
Please Help will give brainiest
(-4c³d)²
someone answer this asap i’ll make it the brainiest please
[tex] \bf \implies {16} {c}^{6} {d}^{2} [/tex]
Step-by-step explanation:(-4c³d)² Evaluate it
We know that (a×b×c)² = a²b²c²According to the question
(-4 × c³ × d)²[tex] \bf { - 4}^{2} \times {c}^{3 \times 2} \times d^{2} [/tex][tex] \bf {16}\times {c}^{6} \times {d}^{2} \\ \bf or \\ \bf16 {c}^{6} {d}^{2} [/tex]If g(x) = 1 − x3, find g'(0)
Answer:
Step-by-step explanation:
we just have to substitute 0 in place of x
1-(0)³, 0³ is still 0, so we're left with 1-0=1
mark me brainliest of it helped