Answer:
x= 22 (number of parent teacher conferences) y=5 (number of school related assemblies)
Step-by-step explanation:
This word problem creates the following system of equations for x = number of parent-teacher conferences and y = number of school related assemblies.
x+y = 27 means that the number of parent teacher conferences plus the number of school related assemblies equals a total of 27 paid events.
35.50x + 42y = 991 means that $35.50 multiplied by a certain number of parent teacher conferences, plus $42 multiplied by a certain number of school related assemblies equals his total earnings of $991.
This sets up the following system
x+y=27
35.50x+42y=991
To solve this, we first need to take the first equation and solve for y.
y=27-x
plug in to the second equation and solve for x.
35.50x+42(27-x)=991
35.50x-42x+1134=991
Collect like terms
-6.5x=-143
divide both sides by -6.5 to solve for x.
x=22
Back substitute into other original equation to solve for y.
22+y=27
y=5
The interpreter attended 22 parent-teacher conference and 5 school related assembly
To solve this problem, we would write out two set of linear equations.
The data given on this problem are
parent-teacher conference = $35.50school related assembly = $42The total number of engagements = 27Let x represent the number of parent-teacher conference
let y represent the number of school related conference
Equations[tex]x+y = 27...equation (i)\\35.50(x)+42y=991...equation(ii)[/tex]From equation (i)
[tex]x+y = 27\\x = 27-y...equation(iii)\\[/tex]
Put equation(iii) into equation (ii)
[tex]35.50x+42y=991\\35.50(27-y)+42y=991\\958.50-35.50y+42y=991\\6.50y=991-958.50\\y=5[/tex]
Put y = 5 into equation 1
[tex]x+y=27\\y = 5\\x+5=27\\x=27-5\\x=22[/tex]
From the above calculations, he attended 22 parent-teacher conference and 5 school related assembly.
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Simplify fully
x2 - 9
3x2 + 8x - 3
+
X-3
x+2
(-3x³+2x²+4x+24) (x-2)
---------------------------------
8x
I GIVE BRAINLEST !! PLS SLOLVE
Answer:
√6/2+1
Step-by-step explanation:
multiplying by √6/√6, we get √6(3+√6)/6=(3√6+6)/6=√6/2+1
Find the area of the composite figure.
Next, find the area of the parallelogram.
Triangle
Area = 77 cm
7 cm
Parallelogram
Area = [?] cm2
9 cm
Total Area of
Composite Figure = [ 1 cm2
22 cm
Answer:
Step-by-step explanation:
trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula looks like this:
area_trapezoid1.gif or area_trapezoid2.gif
Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.
Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.
Help with this please?
Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.
7h – 5(3h – 8) = –72
Which statement is true about Pieter’s solution?
1. It cannot be a fraction or decimal because the depth of the well is a whole number.
2. It must be a positive number since it represents a number of hours.
3. It must be a negative number because the depth is below sea level.
4.It cannot be greater than –72 because that is the depth of the well.
Answer:
Step-by-step explanation:
Is this the entire question? Some of it makes no sense without a diagram or something.
To get rid of A you actually have to solve the equation.
7h – 5(3h – 8) = –72 Remove the brackets
7h - 15h + 40 = - 72 Combine the like terms
- 8h + 40 = - 72 Subtract 40 from both sides
- 8h = -112 Divide by -8
h = 14
Well the depth is a whole number so A is true.
We don't know anything about time. But the answer is positive.
C is false because B is true.
We don't know exactly what the depth of the well is.
I would pick A, but you need the entire question.
Determine which of the values is a solution of 4t+6 is less than or equal to 10.
Values:
1, -8, -4, 3, 0, 7
Answer:
1, 3, 7
Step-by-step explanation:
4t + 6≤10
4t≤4
t≤1
Therefore, t can either be equal to or greater than 1.
__________________________________________________________
Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
Diets For You announced today that it will begin paying annual dividends next year. The first dividend will be $0.12 a share. The following dividends will be $0.15, $0.20, $0.50, and $0.60 a share annually for the following 4 years, respectively. After that, dividends are projected to increase by 4 percent per year. How much are you willing to pay to buy one share of this stock today if your desired rate of return is 8.5 percent?
You will be willing to pay $ 1.41 to buy one share of this stock today if your desired rate of return is 8.5 percent.
Since Diets For You announced today that it will begin paying annual dividends next year, and the first dividend will be $ 0.12 a share, and the following dividends will be $ 0.15, $ 0.20, $ 0.50, and $ 0.60 a share annually for the following 4 years, After that, dividends are projected to increase by 4 percent per year, to determine how much are you willing to pay to buy one share of this stock today if your desired rate of return is 8.5 percent, the following calculation must be performed:
8.5 = 0.12 100 = X 100 x 0.12 / 8.5 = X 1.41 = X
Therefore, you will be willing to pay $ 1.41 to buy one share of this stock today if your desired rate of return is 8.5 percent.
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you will get a 100 points +100 if you get it right
Answer:
c = 4.2h
Step-by-step explanation:
the rate is 16.80 /4
4.20 per hour
earn = hours * rate
c = 4.20h
Answer:
[tex]c=4.20h[/tex]
Step-by-step explanation:
Given information:
Jasmine earns $25.20 for 6 hours work.Jasmine earns $16.80 for 4 hours work.Given variables:
c is the amount Jasmine earns (in dollar).h is the number of hours Jasmine works.To find Jasmine's hourly rate, divide the amount she earns by the number of hours worked:
[tex]\implies \dfrac{25.20}{6}=4.2[/tex]
[tex]\implies \dfrac{16.80}{4}=4.2[/tex]
Therefore, Jasmine earns $4.20 per hour.
The function that shows this information is:
[tex]\large\boxed{c=4.20h}[/tex]
what is the slope of (8,3) (-5,3)
Answer:
-13x. (I think)
Step-by-step explanation:
Which of the following expressions represents the expanded version of the expression
below?
7x (8x2 - 4y2 + 3y - 5)
O 15x3 - 11xy2 + 10xy - 12X
O 56x2 - 28xy2 + 21xy - 35x
O 56x3 - 4y2 + 3y - 5
© 56x3 - 28xy2 + 21xy - 35x
Answer:
4th option
Step-by-step explanation:
7x(8x² - 4y² + 3y - 5) ← multiply each term in the parenthesis by 7x
= 56x³ - 28xy² + 21xy - 35x
The expression in the expended version will be equal to 56x³ - 28xy² + 21xy - 35x. Hence, option D is correct.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given expression,
7x (8x² - 4y² + 3y - 5)
Solve the equation by multiplying 7x with the bracket,
56x³ - 28xy² + 21xy - 35x
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For what values of r will the area of the shaded region be greater than or equal to 12 square units? Write your answer as an inequality.
Answer:
r>=12
Step-by-step explanation:
What do you know about these two lines?
y = 6x - 1
y = -6x - 4
A: The lines are parallel because their slopes are the same.
B: The lines are perpendicular because the slopes are opposites reciprocals
C: The lines are neither parallel nor perpendicular, they just intersect.
Explanation:
Refer to the y = mx+b form
m = slopeb = y interceptThe slopes are the only thing we focus on. For the equations y = 6x-1 and y = -6x-4, the slopes are 6 and -6 in that order.
The slopes are not equal, so the lines aren't parallel.
The slopes aren't opposite reciprocals of one another, so they aren't perpendicular either. An example of an opposite reciprocal pairing would be 6 and -1/6. Any pair of nonzero opposite reciprocal slopes always multiply to -1.
Therefore, the two lines are neither parallel nor perpendicular, they just intersect.
PLEASE HELP WILL MARK BRAINIEST!!!!!!
Answer:
the first option
Step-by-step explanation:
John Marlow's total income last year was $31,300. Of that amount, he spent
$7,900 for food. What percent of Jon's total income did he spend for food? *
25%
40%
50%
85%
Based on the information given the percent of Jon's total income did he spend for food is 25%.
Using this formula
Percent of total income=Amount spent for food/Total income last year
Where:
Amount spent for food=$7,900
Total income last year=$31,300
Let plug in the formula
Percent of total income=$7,900/$31,300
Percent of total income=25%
Inconclusion the percent of Jon's total income did he spend for food is 25%.
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factorise the quadratic expression
pls help me I'll give brainliest
x²+8x-48
[tex]x^2+8x-48\\\\=x^2 + 12x -4x -48\\\\=x(x+12) -4(x+12)\\\\=(x-4)(x+12)[/tex]
evaluate 3c + 6y for c=5 and y=6
Answer:
51
Step-by-step explanation:
because 3(5)+6(6)
Answer:
51
Step-by-step explanation:
3c+6y
3(5)+6(6)
15+36
51
LAST ATTEMPT !! MARKING AS BRAINIEST!!
Answer: You have to get a better picture cause I cant see but D'C is 8
Step-by-step explanation:
It costs $4.00 for 25 fl. oz. of detergent or $3.40 for 20 oz. Which is a better buy?
A computer can do 1000 operations in 4.5×10^-6 seconds. How many operations can be done by this computer in one hour?
Answer:
0.00027.
Step-by-step explanation:
All you have to do is do the scientific notation then multiply by 60.
Date: Pages of * The current ratio of a business is the ratio of its current assets to its current labilities. After consulting with the comptroller, the president of Ace sports equipment company decides to take out a short-term loan to build up inventory. The company has current assets of $350,000 and current labilities of $ 80,000. How much can the company borrow if the current ratio is to be no less than 2.5?
Answer:
this is wrong answer
Step-by-step explanation:
Are these shapes similar?
yes or no
Answer:
I’d say yes.
If you stretched the second shape then I think both shapes would look similar.
hlep me it is easy plssssssssssssss
Answer:
C. (10 - 2) ÷ 4
Step-by-step explanation:
To determine which expression represent a number that is one fourth as great as 10-2 the following logical reasoning has to be made:
Given that a number is raised that is a quarter as large as (10-2), the result of this mathematical operation must be divided by 4.
Thus, since 10 minus 2 is equal to 8 and 8 divided by 4 gives 2, the division is necessary as a mathematical operation.
So, since the only option that raises a division is option C, that's the correct option.
What’s the y-intercept
Y-14=6(x-2.5)
Answer:
[tex]y=-1[/tex]
Step-by-step explanation:
[tex]y-14=6(x-2.5)[/tex]
[tex]y-14=6(0-2.5)[/tex]
[tex]y-14=6(-2.5)[/tex]
[tex]y-14=-15[/tex]
[tex]y=-1[/tex]
Given p(x) = x4 – 13x2 – 25x – 12.
A) Use long division to determine the remainder when p(x) is divided by (x2 – 4)? Show all of your work for full credit.
B) Use mathematical methods to prove that your quotient and remainder are correct. Show all of your work for full credit.
Answer:
Below.
Step-by-step explanation:
p(x) = x^4 - 13x^2 – 25x – 12
Long division:
x^2 - 4)x^4 - 13x^2 – 25x – 12( x^2 - 9 <-------- Quotient
x^4 - 4x^2
Subtract: -9x^2 - 25x
-9x^2 + 36
-25x - 36 - 12
So the remainder is -25x - 48 (Answer).
B) If the above are correct then:
(x^2 - 4) * quotient + remainder = the original form of p(x).
(x^2 - 4)(x^2 -9) - 25x - 48 = the original p(x).
p(x) = x^4 - 9x^2 - 4x^2 + 36 - 25x - 48
= x^4 - 13x^2 - 25x -12 = original p(x)
One advantage of a variable interest rate over a fixed interest rate is that a
variable rate:
A. is often lower initially
B. offers borrowers more flexible terms.
c. can be used for large purchases.
D. increases when the market rate increases
The term variable implies that the rate is bound to change over time, in this context variable interest rate may double as an Advantage and also as a disadvantage.
D. increases when the market rate increases
Variable interest rate is advantageous because as the market rate increases, the rate at which the customer will receive his/her interest will increase too
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Answer: a
Step-by-step explanation:
By rounding to 1 significant figure, estimate
542.04 x 1.88=
Answer:
542.04 × 1.88 = 1020
Facts about 1,020
Sig Figs
3
1020
Decimals
0
Scientific Notation
1.02 × 103
E-Notation
1.02e+3
Words
one thousand twenty
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Finding missing sides- similar triangles Algebraic practice )
Answer:
x=7.85
Step-by-step explanation:
Give the triangles we know that:
[tex] \frac{cd}{fh} = \frac{de}{hg} = \frac{ce}{gf} [/tex]
Now we can substitute like usual
[tex] \frac{78}{fh} = \frac{117}{54} = \frac{ce}{5x + 1} [/tex]
Now we simplify the fraction in the middle
the middles fraction will =13/6
Therefore:
[tex] \frac{78}{fh} = \frac{13}{6} [/tex]
so 13fh=468
Therefore: fh=36
Now we can use the Pythagorean theorem
so
[tex]gf = \sqrt{ {54}^{2} - {36}^{2} } [/tex]
so gf=18√5
so 5x+1=18√5
so 5x=-1+18√5
so x=7.85
(I'm not too sure about this one tho)
Please help me!! I don't understand
No linksssss
Answer:
thanks haahhahahaha
Step-by-step explanation:
А There are 84 boys and 72 girls in the sixth grade. Jerod says that the ratio of girls to boys is 6:7. Is he correct? Why or why not? 23 Maneuvering the Middle LLC. 2015
Answer:
He is correct
Step-by-step explanation:
72 girls and 84 boys
Divide both numbers by 12
6 : 7
He is correct
Jerod says that the ratio of girls to boys is 6:7 is correct.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that in the sixth grade there are 84 boys and 72 girls
Jerod says that the ratio of girls to boys is 6:7
We need to check whether Jerod statement is correct or incorrect
Now the number of boys=84
The number of girls=72
Now divide the number of girls by number of boys
72/84
6/7
So Jerod statement is true
Hence, Jerod says that the ratio of girls to boys is 6:7 is correct.
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!PLEASE ANSWER ASAP! THANK YOU!
if g(n) varies inversely with n and g(n) = 9 when n = 4 then find the value when g(n)=8.
round final answer to the tenths place. if answer is a whole number then put a zero in the tenths place before entering your answer.
Answer:
Step-by-step explanation:
I'm ASSUMING you want to find n where g(n) = 8
g(n) = a/n
g(4) = 9 = a/4
a = 36
g(n) = 8 = 36/n
n = 36/8 = 4.5