Answer:
1.27 x 17 = 21.59 Product means multiply
Step-by-step explanation:
Answer:
21.59
Step-by-step explanation:
17 x 1.27 = 21.59
21.59/17=1.27
A school is sending six teachers and some students to attend a technology fair the admission price for teachers is 8.50 each and the admission price for students is $6 each if the budget set aside by the school for this event is $250 at most how many students can attend the fair
The number of students attending the fair will be 33.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a school is sending six teachers and some students to attend a technology fair the admission price for teachers is 8.50 each and the admission price for students is $6 each if the budget set aside by the school for this event is $250.
The number of the students will be calculated as,
( 6 x 8.5 ) + N x 6 = 250
6N = 250 - 51
N = 199 / 6
N = 33
Hence, the number oof the students will be 33.
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Point: (-3, 7); Slope: 4
Answer:
y - 7 = 4(x + 3)
Step-by-step explanation:
Write the equation of a line using the point slope formula. Substitute m = 4 and the point (-3,7) in the formula.
[tex]y - y_1 = m(x-x_1)\\y - 7 = 4(x--3)\\y - 7 = 4(x+3)[/tex]
a snack company makes 3 batches of a nut mix using the recipe shown.
each batch contains a different total amount of mix.
how much of each type of nuts should be in each batch
full question not given...please resend
Answer:
Please include the "recipe" so we can answer the question :/
Help me answer this question:(
Answer: first option.
Step-by-step explanation:
To solve this problem you must plug the function h(x) into the function g(x):
[tex]g(x)=\sqrt{(2x-8)-4}[/tex]
Now you must simplify by adding like terms, as following:
[tex]g(h(x))=\sqrt{2x-12}[/tex]
Substitute x=10 into the fucntion. Therefore, you obtain the following result:
[tex]g(h(10))=\sqrt{2(10)-12}[/tex]
[tex]g(h(10))=2\sqrt{2}[/tex]
Answer:
The correct answer is first option 2√2
Step-by-step explanation:
It is given that, g(x) = √(x - 4) and h(x) = 2x - 8
To find g(h(x))
We have g(x) = √(x - 4) and h(x) = 2x - 8
h(x) = 2x - 8
g(h(x)) = √((2x - 8)- 4) = √(2x - 12)
To find the value of g(h(10))
g(h(x)) = √(2x - 12)
g(h(10)) = √(2*10 - 12) =√(20 -12) =√8 = 2√2
Therefore the correct answer is first option 2√2
help please and thank you
Your answer should be A.
Answer:
The answer is C because both ordered pair when they are substituted into the equation, both sides equal to each other.
Explanation:
All you do is substitute. (x,y)
A:
Substitute
11 = 8(1) + 3
Multiply the inside parentheses by the outside number
11 = 8 + 3
Add them together to get the solution.
11 = 11
Both sides equal to each other so that means that it is a solution to the equation.
B:
Substitute
-5 = 8(-1) + 3
Multiply the inside parentheses by the outside number
-5 = -8 + 3
Add them together to get the solution.
-5 = -5
Both sides equal to each other so that means that it is also a solution to the equation.
D:
Both ordered pair gives you an equal solution to both sides.
Help Please! Thanks so much if u do
Janette went to Tire Mart and paid $122.57 per tire for 4 tires and a flat rate fee for installation for a total of $555.28 before taxes. Monique went to Fast Wheels and paid $136.71 per tire for 4 tires and a flat rate fee for installation for a total of $585.34 before taxes. The difference in the amount that they paid in installation charges is $
Answer:
$65
Step-by-step explanation:
Let's add up the flat rate and the cost of four tires:
flat rate + 4($122.57/tire) = $555.28
We are to solve for "flat rate." First, multiply out 4($122.57/tire), obtaining a tire cost of $490.28 total. Subtracting this tire cost from the $555.28 Janette paid the shop, we get "flat rate" = $555.28 - $490.28, or $65.
Thus, the installation charge ("flat rate") must have been $65.
express the following in factors; (n+1)!+n!
Answer:
n! (n + 2).
Step-by-step explanation:
(n + 1)! = (n + 1) * n * (n - 1) * (n - 2) .............. * 1.
n! = n * (n - 1) * (n - 2) .............. * 1
- so (n + 1)! = (n + 1) * n!
and (n + 1)! + n!
= n!( n + 1 + 1)
= n! (n + 2).
Two lines, A and B, are represented by the following equations:
Line A: 3x + 3y = 12
Line B: x + y = 4
Which statement is true about the solution to the set of equations?
It is (12, 4).
There are infinitely many solutions.
It is (4, 12).
There is no solution.
Answer:it would be infinalty many
Step-by-step explanation:
The statement "There are infinitely many solutions" is true about the solution to the set of equations, as the lines represented are coincident.
To determine the solution to the set of equations, we can solve them simultaneously.
Given:
- Equation of Line A: 3x + 3y = 12
- Equation of Line B: x + y = 4
To find the solution, we can use methods like substitution or elimination. Here, let's use the elimination method:
Multiply the second equation by 3 to match the coefficients of \(y\) in both equations:
3(x + y) = 3(4)
3x + 3y = 12
Now, we can see that both equations represent the same line, so they are coincident or overlapping. Therefore, there are infinitely many solutions.
Hence, the statement "There are infinitely many solutions" is true about the solution to the set of equations.
The value of a stock increases at a rate of 1/2% per year. If the initial value of the stock $40 a share, when will the value of the stock be $50? Round your answer to the nearest tenth of a year
Answer:
After 45.7 years
Step-by-step explanation:
∵ r = 1/2% per year
∵ P0 = $40
∵ Pn = $50
∵ Pn = P0 ( 1 + r/100)^n-1
∵ P0 is initial value , Pn is the value after n years , is the rate
∴ 50 = 40 (1 + 0.5/100)^n-1
∴ 50/40 = (1.005)^n-1
∴ 1.25 = (1.005)^n-1 ⇒ insert ln in both sides
∴ ln(1.25) = (n-1)ln(1.005)
∴ n - 1 = ln(1.25)/ln(1.005)
∴ n = ln(1.25)/ln(1.005) + 1 = 45.7 years
Find the center, vertices, and foci of the ellipse with equation 3x2 + 6y2 = 18.
3x^2 +6y^2 = 18
Divide each term by 18 to make the right side equal 1:
3x^2/18 + 6y^2/18 = 1
Simplify each term:
x^2/6 + y^2/3 = 1
The form of an eclipse is written as (x-h)^2/a^2 + (y-k)^2/b^2 =1
Match the values in the ellipse to the standard form:
a = √6
b=√3
k = 0
h = 0
The center = (h,k) = (0,0)
Vertex is h +a, k = (√6,0) and (-√6,0)
Focus is h+c,k = (√3,0) and (-√3,0)
which statement about the data set is true? (600,612,614,615,620,630,643,644,656)
Answer:
C
Step-by-step explanation:
Let's break down the definitions.
Median = the middle value in the number set
So yes this is an appropriate measure of center.
Mode = the most common value in the number set
Since this can be any number, this isn't an appropriate measure of center.
Mean = average
So yes this can also be an appropriate measure of center.
simplify (6 to the power of negative 2), (3 to the power of negative 3), (3 times 6)the power of 4.
Answer:
[tex]( {6}^{ - 2}) ( {3}^{ - 3}) ( {3 \times 6})^{4} = \frac{ {3}^{4} {6}^{4} }{ {3}^{3} {6}^{2} } = 3( {6}^{2} ) = 3(36) = 108[/tex]
Help please please anyone can you explain please
I can't read it well, but if u need to learn the volume of the cube do this. Count the number of squares. Top is 8. So bottom is 8. =16
Front is 12. So back is 12. =24
Side is 6. So other side is 6. =12.
16+24+12=42.
42 is ur volume.
Ta Da!
I need help please???
that anser you have highlighted it correct
The formula for the area of a trapezoid is A = 1/2 (b+b) h. Explain why the bases of a trapezoid need to be added in the formula
Step-by-step explanation:
Look at the picture.
We connect two congruent trapezoids as in the picture.
We created a parallelogram with a base length of b₁ + b₂ and a height h equal to the height of the trapezoid.
The formula of an area of a parallelogram:
[tex]A_p=(base)(height)\to A_p=(b_1+b_2)h[/tex]
The area of the trapezoid is half of the parallelogram area.
Therefore we have the formula of an area of trapezoid:
[tex]A_t=\dfrac{(b_1+b_2)h}{2}[/tex]
Therefore we need to be added the bases of a trapezoid.
shelby needs 4/8 of a cup of oatmeal for each batch if she wants to make 7 batches how much oatmeal will she need
which of the following shows the prime factorization of 360 using exponential notation?
You can find the prime factorization of 360 by dividing it by 2. Then you get 2 * 180. 180 can be simplified to 2 * 90. 90 can be simplified to 2 * 45. 45 can simplified to 3 * 15. 15 can be simplified to 3 * 5.
The prime factorization of 360 is 2^3 * 3^2 * 5.
You can check that answer. 2^3 = 8 → 3^2 = 9 → 8 * 9 * 5 = 360
With an example, how do I explain what the graph of a rational function looks like. Explain it in terms of it being a line and why the line is shaped the way it is on the graph.
Answer:
Hi,
These graphs looks like a smooth curve due to the asymptotes,or a straight line to which the graph of the function gets arbitrarily close.
Step-by-step explanation:
Rational functions are in the form of y= f(x) where f(x) is a rational expression. The graphs of rational functions are drawn by first finding the asymptotes and the intercepts. The graph follows a smooth curve that connects the points without crossing the vertical asymptotes. The line is shaped in that shape to satisfy the vertical line test.
Best wishes!
Is 0.166 rational or irrational?
Answer:
the Answer is irrational
Step-by-step explanation:
Write 7,000,000+300,000+ 40,000+ 5,000+ 800+ 2 in word form
seven million+three hundred thousand+forty thousand+ five thousand+eight hundred+two
HOPE THIS HELPED!!
Can I have brain?
7,345,802
Seven million, Three hundred, fourty thousand, eight hundred two
Which formula should be used to find the area of the composite shape?
The last option seems the best one: the figure is composed of a square/rectangle and a triangle. The area of the rectangle is the product of its dimension (i.e. [tex]lw[/tex]), while the area of the triangle is half the product of the base and height ([tex]\frac{1}{2}bh[/tex]).
The sum of the two areas is the area of the composite shape.
ANSWER
area equals half of base times height plus length times width so d
What is the probability of drawing a king first and then a jack from a standard deck of cards with replacement?
Answer:
1/169
Step-by-step explanation:
There are total 52 cards in deck. Also, there are 4 kings and 4 jacks in the deck.
Probability of choosing a king out of 4 kings and total there are 52 cards
∴ Ans1 = ⁴C₁/⁵²C₁ = 4/52 = 1/13
The cards are drawn with replacement so again there will be total 52 cards.
Probability of choosing a jack out of 4 jacks and total there are 52 cards
∴Ans2 = ⁴C₁/⁵²C₁ = 4/52 = 1/13
So, ans=Ans1 * Ans2 = 1/13 *1/13 = 1/169
Cindy needs to work a total of 240 hours at her internship. Though she currently has 177.13 hours completed. How many more hours does Cindy need to complete her internship?
Answer:
62.87
Step-by-step explanation:
240-177.13=62.87
Which expression is equivalent to
Answer:
j^13
Step-by-step explanation:
j j j j j j j j j j j j j j
There are 13 j's so we raise j to the 13 power
j^13
Answer:
c
Step-by-step explanation:
lol.................................
what is 10 times as much as 430?
Answer:
4300
Step-by-step explanation:
430*10=4300
Answer:
43
Step-by-step explanation:
43 x 10 = 430
Find the median
7,5,8,7,8,13
In order to find median, you have to line up the numbers from least to greatest and then find the middle.
Least to greatest:
5 7 7 8 8 13
Answer:
8 + 7 = 15
15/2 =
7.5
Answer:
the median is 7.5
Step-by-step explanation:
put the numbers in order from least to greatest which would be 5, 7, 7, 8, 8, 13
on a sheet of paper write them in order like above ^
then cross out each number on the end like this (you will cross them out, i am going to delete the ones that are needed to be crossed out.)
5 7 7 8 8 13
7 7 8 8
7 8
with 7 and 8 add them togethef and you should get 15.
Finally take 15 and divide it by 2 because there is two numbers in the middle and you should get 7.5
your final answer should be 7.5 for the median.
I hope thid helped <33
(X+1)-(-2x - 5)
Help
answer: 3x + 6
x + 1 + 2x + 5 = 3x + 6
remember to first distribute the negative to both terms in the second parentheses which makes the 2x and 5 both positive and then just combine like terms . pls mark brainliest
Answer:
3x+6 is the answer
Step-by-step explanation:
Rolling two sixes in a row on a number cube. Dependent Or Independent?
Rolling a six on a die twice in a row is an example of independent events, as the outcome of one roll doesn't affect the outcome of the other, confirmed by applying the Multiplication Rule for independent events in probability theory.
Explanation:The question is asking whether rolling a six on a die twice in a row is considered a dependent or independent event. In probability theory, two events are considered independent if the occurrence of one does not affect the outcome of the other. In this case, rolling a die twice, the outcome of the first roll does not affect the outcome of the second roll. This is because each roll is a separate event and the die does not have a 'memory' of the previous roll.
Using the Multiplication Rule for independent events, we can confirm this. The Multiplication Rule states that the probability of two independent events happening together (A and B) is the product of their individual probabilities (P(A AND B) = P(A) * P(B)).
Applying this rule to our situation, the probability of rolling a six (A) and then rolling another six (B) is the product of the probabilities of each of these events happening on their own. This is (1/6)*(1/6) = 1/36. The result confirms that the two rolls are, indeed, independent events.
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Factor completely 25x^2-36
Rewrite it in the form; a^2 - b^2, where a = 5x and b = 6
(5x)^2 - 6^2
Use the Difference of Squares: a^2 - b^2 = (a + b)(a - b)
(5x + 6)(5x - 6)
To factor 25x^2-36 completely, we use the difference of squares formula which gives us the factorization (5x + 6)(5x - 6).
Explanation:To factor the expression 25x^2-36 completely, we can use the difference of squares formula. This formula states that a^2 - b^2 can be factored as (a + b)(a - b). In this case, our 'a' value is 5x and our 'b' value is 6. So we can factor 25x^2-36 as (5x + 6)(5x - 6).
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A salesperson makes a base salary of $2100 per month. Once he reaches $42,000 in total sales, he earns an additional 5% commission on the amount in sales over $42,000.
(1) Graph the function.
(2) If the salesperson had $80,000 in sales, how much was his salary?
(3) If the salesperson's total salary for a month was $4500, how much were his total sales for that month?
(4) Compute S(25000) and interpret what this means in the context of the problem.
Answer:
(1) Observe the attached image
(2) [tex]S = \$4,000[/tex]
(3) [tex]x = \$90,000[/tex]
(4) [tex]S = 2100[/tex]
Step-by-step explanation:
(1) Let's call S the salary for the month the seller wins.
Let's call x the amount of dollars reached by the sales of that month.
The seller earns a base salary of $ 2100 per month.
Then, if x> 42,000 he wins a commission of 5% on sales.
Then the equation modeling this situation is:
[tex]S =\left\{{{0.05(x-42,000)+2100\ if\ x>42,000} \atop{2,100\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ if\ 0\leq x\leq42,000}}\right.[/tex]
The graph of the function is shown in the attached image.
(2) If x = 80,000, then your salary was:
[tex]S = 0.05(80000-42000) +2100\\\\S = \$4,000[/tex]
(3) If S was 4500 and we want to find x then we equal S to 4500 and solve for x.
[tex]S = 4,500 = 0.05(x-42,000) + 2,100\\\\\frac{2,400}{0.05} = (x-42,000)\\\\x = \frac{2400}{0.05} +42,000\\\\x = \$90,000[/tex]
(4) S (25000) means that x equals 25000. Since x represents sales, this means that during the month, the seller only reached $ 25,000.
Then [tex]x <42000[/tex]
Therefore [tex]S = 2100[/tex].