9. The total length of the Trans-Canada Highway is 7870 km. About 6% of
the highway is in Alberta. How many kilometres are in Alberta?
Answer:
472.2 km
Step-by-step explanation:
which expression is equivalent to the given polynomial expression? (9mn-19m^4n)-(8m^2+12m^4n+9mn)
A. -31m^4n+18mn-8m^2
B. -7m^4n+8m^2
C. -7m^4n+18mn-8m^2
D. -31m^4n-8m^2
9514 1404 393
Answer:
D. -31m^4n-8m^2
Step-by-step explanation:
Eliminate parentheses by distributing the minus sign. Then collect terms:
(9mn-19m^4n)-(8m^2+12m^4n+9mn) = 9mn -19m^4n -8m^2 -12m^4n -9mn
= m^4n(-19 -12) +mn(9 -9) +m^2(-8)
= -31m^4n -8m^2 . . . . . matches choice D
What is the value of this expression when P = 5 and q = -2 -3(p-q)^2
Answer:
-147
Step-by-step explanation:
-3(5--2)^2
-3x7^2
-3x49
-147
Evaluate the expression 2b + 5 when b = 3
Answer:
11
Step-by-step explanation:
Step 1:
Since b = 3, substitute 3 into the expression for b
2(3) + 5
Step 2:
2(3) = 6 so the expression is now 6 + 5
Step 3:
6 + 5 = 11
Right triangle CDE has its right angle at vertex
D. The length of DE is 8 feet and the length of
CE is 17 feet. What is the length, in feet, of CD?
A) 11
B) 12
C) 14
D) 15
The length of the side CD which is the base of the right triangle CDE is 15 feet which is option D.
We have,
We can use the Pythagorean theorem to solve for the length of the height CD in the right triangle CDE.
Where CE is the hypotenuse and De is the base.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, we have:
CD² + DE² = CE²
Plugging in the given lengths:
CD² + 8² = 17²
CD² + 64 = 289
CD² = 289 - 64
CD² = 225
CD = √225
CD = √15²
CD = 15
Thus,
The length of the side CD which is the base of the right triangle CDE is D. 15 feet.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ3
What is $36.99 in tax and 20% in tip?
Show your work! Please
PLEASE HELP ME AND HURRY TOO NO LIBKS PLEASE I WILL GIVE BRAINLIEST
Answer:
[tex] \frac{1}{3} x - 5 - \frac{1}{6} x - 3 = \\ \frac{2}{6} x - \frac{1}{6} x - 8 = \frac{1}{6} x - 8[/tex]
Answer:
option D is the right answer
please mark this answer as brainlist
You hike 1.2 miles west from a trailhead and then receive a text from a friend. She
is.x miles west of the trailhead. You hike to meet her, and then you both hike back
to where you left off on the trail. You hiked 2.7 miles in total. Formulate an absolute
value equation to represent this situation,
Answer:
the answer is definitely 4
if the lcm of a number is 630 and the HCF is 10 what will be the first number it the second number is 10
Answer:
1000
Step-by-step explanation:
Plot all points that are a distance of 7 units from 4. What are their values?
Distance is the number of units between points.
The distance that are 7 units from 4 are: 11 and -3
A distance of 7 units from 4 means:
[tex]x - 7 = 4[/tex] or [tex]x + 7 =4[/tex]
Where:
x is the required distance
Solve for x in both equations.
[tex]x - 7 = 4[/tex]
[tex]x = 7 + 4[/tex]
[tex]x = 11[/tex]
[tex]x + 7 =4[/tex]
[tex]x =4 - 7[/tex]
[tex]x =- 3[/tex]
So, the distance that are 7 units from 4 are: 11 and -3
See attachment for illustration
Read more about distance at:
https://brainly.com/question/7942332
<3 is a supplement of <2 and m<3= 76* Find m<2
Answer:
m < 2 = 104°
Step-by-step explanation:
Given that < 3 is a supplement of < 2, and that m < 3 = 76°, then:
To find the measure of m < 2, all you need to do is subtract the m < 3 from 180°.
m < 2 = 180° - m < 3
m < 2 = 180° - 76°
m < 2 = 104°
The lunch check is $16.98. Estimate the tip
using a rate of 15%
Hello again for the millionth time, need help on this, help pls, thx.
Solve using elimination.
8x − 7y = –5
–x + 4y = –15
Answer:
Therefore, the values of "x" and "y" are -1000/312 and -115/39 respectively.
Step-by-step explanation:
★ Solution :-[tex] \sf \leadsto 8x - 7y = -5 - - - (i)[/tex]
[tex] \sf \leadsto -x + 4y = -15 - - - (ii)[/tex]
By first equation,
[tex] \sf \leadsto 8x - 7y = -5[/tex]
[tex] \sf \leadsto 8x = -5 + 7y[/tex]
[tex] \sf \leadsto x = \dfrac{-5 + 7y}{8} [/tex]
Now, we can find the original value of y.
[tex] \sf \leadsto -x + 4y = -15[/tex]
[tex] \sf \leadsto \bigg( \dfrac{-5 + 7y}{8} \bigg) + 4y = -15[/tex]
[tex] \sf \leadsto \dfrac{-5 + 7y}{8} + 4y = -15[/tex]
[tex] \sf \leadsto \dfrac{-5 + 7y + 32y}{8} = -15[/tex]
[tex] \sf \leadsto \dfrac{-5 + 39y}{8} = -15[/tex]
[tex] \sf \leadsto -5 + 39y = -15(8)[/tex]
[tex] \sf \leadsto -5 + 39y = -120[/tex]
[tex] \sf \leadsto 39y = -120 + 5[/tex]
[tex] \sf \leadsto 39y = - 115[/tex]
[tex] \sf \leadsto y = \dfrac{ - 115}{39} [/tex]
Now, we can find the original value of x.
[tex] \sf \leadsto 8x - 7y = -5[/tex]
[tex] \sf \leadsto 8x -7 \bigg( \dfrac{ - 115}{39} \bigg) = -5[/tex]
[tex] \sf \leadsto 8x + \dfrac{805}{39} = -5[/tex]
[tex] \sf \leadsto \dfrac{312x + 805}{39} = -5[/tex]
[tex] \sf \leadsto 312x + 805 = -5(39)[/tex]
[tex] \sf \leadsto 312x + 805 = -195[/tex]
[tex] \sf \leadsto 312x = -195 - 805[/tex]
[tex] \sf \leadsto 312x = -1000[/tex]
[tex] \sf \leadsto x = \dfrac{-1000}{312} [/tex]
[tex]\textsf {\underline{Answer-}}\\[/tex]
Therefore, the values of x and y are -1000/312 and -115/39 respectively.
Simplify.
1 - 4x + 3+ - 1 + 2
Enter your answer in the box.
Do not use decimals in your answer.
Basic
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Answer:
4x + 4
Step-by-step explanation:
di ako sure pero i tried
Answer:
1/4 - 4x
Step-by-step explanation:
hope this helped
please help! no work needs to be shown:)
Donald is thinking of buying a car but is looking at the annual running costs before he makes a purchase
These are his costs before adding on petrol and maintenance
Cost(£)
Tax - 110
Insurance - 360
Breakdown - 50
What fraction of these costs is his insurance?
3/4
9/13
1/7
5/6
Answer:
Step-by-step explanation:
Kara’s Custom Tees experienced fixed costs of $300 and variable costs of $2 a shirt. Write an equation that can be used to determine the total expenses encountered by Kara’s Custom Tees. Let x be the number of shirts, and let C(x) be the total cost of producing x shirts. Then, calculate the cost of producing 6 shirts.
An equation that can be used to determine the total cost of producing x shirts is C(x)= ___________
The cost of producing 6 shirts is $________
Answer:
c(x)=2x+300 and $312
Step-by-step explanation:
c(6)=2(6)+300
c(6)=12+300=312
What is your weight on Jupiter? (g = 26.0 m/s^2)
Answer:
depends on how much you weigh
y = x ^ 3 - 5x ^ 2 + 6x
Answer:
Step-by-step explanation:
y = x(x^2 -5x + 6) Factor out a common term (GCF)
y = x(x - 2) (x - 3) Factor the trinomial
(x - 2) = 0 (x - 3) = 0 x = 0
Therefore x = 2, 3, or 0
for the function below find the following:
f(x)=25x^2-36
a. the zeros x=?
b. the x & y intercepts
(x,y) = ( )
(x,y) = ( )
c. the y intercept of the graph
(x,y) = ( )
Answer:
a. (-1.2,0) (1.2,0)
b. (-1.2,0) (1.2,0)(0,-36)
c. (0,-36)
Can someone help me pls
Answer:
2.85 x 10^4
Step-by-step explanation:
What is the value of the 3 in the number 2.703?
Given number is 2.703.
Its a decimal number
Hence three is not the hundredth place holder.
3 is decimal 1/thousand place holder.See below
[tex]\\ \sf\longmapsto 3\times \dfrac{1}{1000}[/tex]
HELP ME NOW!!! PLS I DONT KNOW THSE TPYE OF STUFF
Answer:
10 yd, because you subtract 15 to 5.
2. Convert the following lengths to cm. (a) 15 mm (b) 27 mm (c) 48 mm
Answer:
15 mm = 1.5 cm
27 mm = 2.7 cm
48 mm = 4.8 cm
1st Question
3x + 8y = -4
2x - 4y = 16
2nd Question
6x - y = 16
x = 4y - 5
3rd Question
x + y = 19
3x - 2y = -3
9514 1404 393
Answer:
(x, y) = (4, -2)(x, y) = (3, 2)(x, y) = (7, 12)Step-by-step explanation:
When you have a lot of the same kind of problem to solve, it makes a certain amount of sense to let a spreadsheet do it. You can enter the formulas once, and then all you need to do is supply the different data for the different problems.
Here, we can put the equations into standard form, then use Cramer's Rule to solve them. For the two equations ...
ax +by = cdx +ey = gwe can define ...
D = (ae -db)
Then the values of x and y are ...
x = (ce -gb)/D
y = (ag -dc)/D
The attached spreadsheet implements these equations to find the values of x and y.
__
The second equation of the 2nd Question is not given in standard form. To put it into standard form, we need to subtract 4y from both sides:
x -4y = -5
_____
Additional comment
Many graphing calculators have matrix functions that will solve sets of linear equations, too. For those, you can use the function that puts the coefficient matrix into Reduced Row-Echelon Form. Often that function is named RREF( ), as it is on my TI-84 and HP-48 calculators. The input coefficient matrix will look like ...
[tex]\left[\begin{array}{ccc}a&b&c\\d&e&g\end{array}\right][/tex]
and the output matrix will look like ...
[tex]\left[\begin{array}{ccc}1&0&\text{x-value}\\0&1&\text{y-value}\end{array}\right][/tex]
Effectively, the equations are solved by "elimination." If the calculator shows [0 0 0] in the bottom row of output, it means the equations are dependent and there are infinite solutions. If it shows [0 0 1], the equations are inconsistent, and there are no solutions.
Solve the inequality
Step-by-step explanation:
3 - 4(y + 2) <= 6 + 4(2y + 1)
3 - 4y - 8 <= 6 + 8y + 4
-5 <= 10 + 12y
-15 <= 12y
12y >= -15
y >= -15/12 = -5/4
y >= -5/4
y € [‐5/4, oo)
Josiah has 47 toy cars. If he organizes them in groups of 9 how many toy cars will be in the final group
Answer:
He Will Be Left With 2 Toy Cars
Step-by-step explanation:
Because 5 x 9 = 45
So 47 - 45 = 2
Solve for x
X-11=-2
Help
Answer:
9
Step-by-step explanation:
x - 11 = - 2
x = - 2 + 11
= 11 - 2
x = 9
◻︎ ◻︎
Hello There!
We must make sure numbers are on the right side of the equation and x's (variables) are on the left:
x=-2+11
x=9
Hope this helps you! :)
Answered by:
[tex]GraceRosalia[/tex]
Zygmund Oleksik is paid a salary of $800 a week to manage a party store. What amount will he make in one
year working at this job?
x = one week worked
x = $800
Then, Oleksik will earn $416,000 in 52 weeks (one year).