Answer:
Victor has 18 trophies
Step-by-step explanation:
Let's set up "let statements"
Let d = Dean's trophies
Since Victor has 2 times as many trophies as Dean, we can set up a let statement for Victor like this...
Let 2d = Victor's trophies
Now we can set up an equation! Since we know Dean and Victor have 27 trophies altogether...our equation has to involve addition...
2d + d = 27
Combine like terms...(2d and d)
3d = 27
Divide 3 on both sides to isolate the variable "d"
3d ÷ 3 = d
27 ÷ 3 = 9
So...
d = 9
That means Dean has 9 trophies. But we are not done yet because we need to figure out how many trophies Victor has. Since Victor has 2 times the number of trophies as Dean we can do...
2 · 9 = 18
Therefore, Victor has 18 trophies!
Hope this helps :)
Answer:
Vitor has 18 trophies and Dean has 9.
Step-by-step explanation:
Help please 6th grade math
Answer:
Step-by-step explanation:
-1
Place the following numbers in order from least to greatest -4.5, -3 5/6, square root of 16, -8/3, -2 pie
Answer: -2 pi, -4.5, -3 5/6, -8/3, square root of 16
Step-by-step explanation:
The number which would be the smallest would be the largest negative number sense its farthest from 0 and the greatest would by the biggest positive number in this case being square root of 16.
square root of 16 is 4 sense (4 times 4 is 16)
-8/3= -2.67
-2 pi= -6.28
-3 5/6= -3.834
4 X 4=16
4 X 5=20
What percent increase?
Step-by-step explanation:
20-16/16 x100
4/16 X 100 = 25%
How can you estimaite [tex]\sqrt 40.[/tex]
9514 1404 393
Answer:
√40 ≈ 6 4/13 ≈ 6.31
Step-by-step explanation:
The estimate by linear approximation starts with the recognition that ...
40 = 36 +4 = 6² +4
and the difference from 36 to the next square, 7² = 49 is 49-36 = 13.
The linear approximation to √40 is ...
√40 ≈ 6 4/13 ≈ 6.31
__
There are various methods for improving this approximation. Perhaps the fastest improvement is obtained using the "Babylonian method." The next iteration is the average of this value and 40 divided by this value.
(82/13 +40/(82/13))/2 = 6 173/533 ≈ 6.3246 . . . . accurate to 4 decimal places
_____
Additional comment
When you write the value in terms of a square and a remainder:
n = s² +r
then the above linear approximation of √n can be written as ...
√n ≈ s +r/(2s+1)
Using the idea that a square root can always be represented by a continued fraction, we can continue the fraction one more iteration to give a slightly better approximation:
√n ≈ s +r(2s+1)/(2s(2s+1) +r)
For the case at hand, this gives √40 ≈ 6+52/160 = 6 13/40 = 6.325, accurate to 3 decimal places. Additional iterations using the continued fraction idea can be had using ...
n'' = s + r/(s +n') . . . . . where n' is an approximation of the root and n'' is a better approximation. This does not converge as fast as the Babylonian method, but may be easier to calculate on some calculators.
A worker makes 220 for 8 hours of work. At this rate, how much does the worker make per hour
Answer:
22.5
Step-by-step explanation:
8hrs=220
1hr=220÷8
1hr=22.5
According to the question,
The worker makes,
[tex]8 \ hours = 220[/tex]then,
Per hour, worker will make,
→ [tex]1 \ hour = \frac{220}{8}[/tex]
By applying division, we get
→ [tex]1 \ hour = 22.5[/tex]
Thus the solution above is appropriate.
Learn more about interest rate here:
https://brainly.com/question/2254494
Point E is 5 units to the right of point A, point D is 4 units down and 1 unit to the right of point E, point C is 2 units down and 1 unit to the left of point D, point B is 5 units to the left of point C, and point A is 6 units above point B. A point has been translated left and down. Based on the graph, which could be true? Check all that apply. A is the image of C. A is the image of D. B is the image of D. B is the image of E C is the image of A. C is the image of D. D is the image of E.
Answer:
There are three answers
Step-by-step explanation:
B is the image of D
B is the image of E
C is the image of D
Answer:
B is the image of D
B is the image of E
C is the image of D
Step-by-step explanation:
Value Rent a car rents a luxury car at a daily rate of $38.51 plus 50 cents per mile. A business person is allotted $90 for car rental each day. How many miles can the business person travel on the 90$
102 miles
90-38.51 = 51.49 dollars left over
51.49/.5 = just over 102 miles
Evaluate. 1 1/2+3/4÷(−1/3)−2/3 Enter your answer as a mixed number in simplest form
Answer:
-1 5/12
Step-by-step explanation:
1 1/2+3/4÷(−1/3)−2/3
3/2-2/3+3/4*3/-1
9-4/6-9/4
5/6-9/4
20-54/24
-34/24
-17/12
-1 5/12
2. Carlie graphed a line with a negative slope.
What must be true about the graph?
a. The graph decreases from left to right.
b. The graph increases from left to right.
c. The graph must cross (0,0).
d. The graph must be contained in Quadrants
III and IV.
Answer:
A. The graph decreases from left to right
Boris needs to memorize words on a vocabulary list for French class. He has memorized 24 of the words, which is two-thirds of the list. How many words are on
the list?
Answer:
Step-by-step explanation:
24 divided by 3 is 8 so 8 times 2 is 16 the answer is 16
[tex]f(x)=x^{2} -3x-10[/tex]
Answer:
Given
f(x) = 3x + 2
g(x) = (x + 3) / (2x - 10)
#1
g · f(x) =
g(f(x)) =
(3x + 2 + 3)/ (2(3x + 2) - 10) =
(3x + 5) / (6x - 6)
#2
f · g(x) =
f(g(x)) =
3[(3x + 2) / (2x - 10)] + 2 =
(9x + 6) / (2x - 10) + 2 =
(9x + 6 + 4x - 20)/ (2x - 10) =
(13x - 14) / (2x - 10)
Step-by-step explanation:
A line is 4.5” long is divided into 6 equal parts. How long is each part?
Answer:
0.75"
Step-by-step explanation:
4.5÷6
please mark me brainliest
five times a number is 120, what is the number
Answer:
Step-by-step explanation:
24
4. k(x) × g(x) × f(x)
[tex]k(x) \times f(x)[/tex]
[tex](2x + 5) \times (x - 1)[/tex]
[tex]2 x(x - 1) + 5(x - 1)[/tex]
[tex] ({2 x }^{2} - 2x) + (5x - 5)[/tex]
[tex] {2x}^{2} - 3x - 5[/tex]
________________________________
[tex]k(x) \times g(x) \times f(x)[/tex]
[tex]g(x) \times (k(x) \times f(x))[/tex]
[tex] ({6x }^{2} - 4x + {3x}^{4} ) \times ( {2x}^{2} - 3x - 5)[/tex]
[tex] {6x}^{2} ( {2x}^{2} - 3x - 5) - 4x ( {2x}^{2} - 3x - 5) + {3x}^{4} ( {2x}^{2} - 3x - 5)[/tex]
[tex]12 {x}^{4} - 18 {x}^{3} - 30 {x}^{2} - {8x}^{3} - 12 {x}^{2} - 20x + {6x}^{6} - 9x {}^{5} - {15x}^{4} [/tex]
8-15/3+4*5
evaluate.
Answer:
23
Step-by-step explanation:
4*5 =20
15/3 = 5
8-5 = 3
3+20=23
8(-15/3)+(4*5)
N
ΔABC ΔXYZ
Find the missing side length, s.
S=[ ? ]
Answer:
12
Step-by-step explanation:
Write the scale without units: 1 in:9 yd
Answer:
1:9
Step-by-step explanation:
that's how you write scale
Show that x is not the factor of 2x*3-x*2-2x+1
Answer:
See explanation
Step-by-step explanation:
If we have a polynomial in x with x as a factor, we know that there will be no constant term. This arises because every term will be a multiple of x, and thus there will be know constant term.
Because there is a constant term in our polynomial, namely 1, x is not a factor of [tex]2x^3-x^2-2x+1[/tex], as desired.
Answer: You divide using polynomial long division or synthetic division and if the remainder is 0 then it is a factor.
Step-by-step explanation:
5. Your soccer team is selling hoagies for a fundraiser. You need to purchase at least 8 pounds of ham and turkey. Ham costs $4 per pound and turkey costs $5 per pound. You have $40 to spend.
Answer:you would spend 36 dollars and would have 4 dollars left, you would spend 16 dollars on ham and 20 on turkey
Step-by-step explanation:
Use graphing technology to find the range of the function
f(x) = –x^2 – 10x – 27
100x+300y=1.200
(2/3x+10)/100=(y+20)/300
Answer:
x= -4.284 and y= 1.432
Step-by-step explanation:
(2) Below is the graph of a function, y = f (x).
(a) Draw a secant line on the graph above from x = 0 to x = 4. (copy the graph if you are writing your answers on a separate paper)
(b) What is the average rate of change of f (x) from x = 0 to x = 4? Show how you get your answer.
Answer:
Step-by-step explanation:
a. To draw a secant line, just draw a straight line connecting the 2 points at x = 0 and x = 4.
b. The average rate of change of this line is going to be the change in y / the change in x. The equation will be (f(4) - f(0))/(4 - 0) = (0 - 3) / 4 = -3/4.
Given the matrices A and B shown below, solve for X in the equation -3X + A= 3B.
Answer:
A = 3 B + 3x
B = - X + A/3
Step-by-step explanation:
X = - B + A/3
write an equation in slope intercept form for the line with slope -1/5 and y intercept 8. then graph the line
Answer:
y = -1/5x + 8
Step-by-step explanation:
Find the slope- intercept form -5x+6y=30
Please show steps
Answer:
slope-intercept is 5/6x, y intercept is 5 and x intercept is -6
Step-by-step explanation:
-5x+6y=30
first you are going to move your thirty to the other side of the equation so your going to minus 30 from both sides.
-5x+6y(-30)= 30(-30)
-5x+6y-30=0
then move your y to the other side of the equation
-5x-30=6y
divide by 6 to get y alone
-5/6x -(30/6)=y
-5/6x-5=y
therefore your slope is 5/6x, your y intercept is 5 and your x intercept is -6
the area of 1.25 and 0.8
Answer:
2.05
Step-by-step explanation:
1.25 + 0.8= 2.05 but if your doing multiplication then it would be 1 just 1.
Nakisa spent $328 on a total of 22 CDs and DVDs. If CDs cost $12 each and DVDs cost $16 each, how many CDs did Nakisa buy?
Answer:
she bought 14 i belieive.
Step by Step What do I do
Answer:
7:46
Step-by-step explanation:
The clock says 9:20. I am assuming that the question is related to the clock on the left. It asks for the time an hour and 34 minutes ago. One hour from 9:20 is 8:20. Now we work with the minutes. 8:20 minus 34 minutes is 7:46.
Answer:
7:46
Step-by-step explanation:
Hi hope you’re have a great day can I get some help please
Answer:
the function is odd
Step-by-step explanation:
functions that are symmetric with respect to the y axis are even functions
functions that are symmetric with respect to the origin (the 0,0 point) are odd functions (which means that if you flipped it 180 degrees it will still look the same)
have a nice day!
What is the 7th term of the sequence 64, -16, 4, -1?
Answer:
0.25
Step-by-step explanation:
the pattern is dividing by -4. so divide -1 by -4 and you get 0.25.