Answers
Answer:
32 trips.
Step-by-step explanation:
It's a proportion question.
7/84 = x/384
84x = 7*384
84x = 2688
Divide both sides by 84 to isolate x.
x = 2688/84
x = 32
So, Sarah will have to make 32 trips to cycle a total of 384 kilometers.
(I apologize if the answer is wrong!)
Related Questions
y = x ^ 3 - 5x ^ 2 + 6x
Answers
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
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
Answers
Answer:
Step-by-step explanation:
1st Question
3x + 8y = -4
2x - 4y = 16
2nd Question
6x - y = 16
x = 4y - 5
3rd Question
x + y = 19
3x - 2y = -3
Answers
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.
Josiah has 47 toy cars. If he organizes them in groups of 9 how many toy cars will be in the final group
Answers
Answer:
He Will Be Left With 2 Toy Cars
Step-by-step explanation:
Because 5 x 9 = 45
So 47 - 45 = 2
What is the value of the 3 in the number 2.703?
Answers
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]
<3 is a supplement of <2 and m<3= 76* Find m<2
Answers
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°
HELP ME NOW!!! PLS I DONT KNOW THSE TPYE OF STUFF
Answers
Answer:
10 yd, because you subtract 15 to 5.
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,
Answers
Answer:
the answer is definitely 4
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
Answers
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
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Solve the inequality
Answers
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)
Hello again for the millionth time, need help on this, help pls, thx.
Answers
What is the value of this expression when P = 5 and q = -2 -3(p-q)^2
Answers
Answer:
-147
Step-by-step explanation:
-3(5--2)^2
-3x7^2
-3x49
-147
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 $________
Answers
Answer:
c(x)=2x+300 and $312
Step-by-step explanation:
c(6)=2(6)+300
c(6)=12+300=312
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
Answers
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
PLEASE HELP ME AND HURRY TOO NO LIBKS PLEASE I WILL GIVE BRAINLIEST
Answers
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
What is $36.99 in tax and 20% in tip?
Show your work! Please
Answers
Solve using elimination.
8x − 7y = –5
–x + 4y = –15
Answers
8x−7y=−5
Add 7y to both sides
8x−7y+7y=−5+7y
Simplify
8x=−5+7y
Divide both sides by 8
8x
8 =−
5
8 +
7y
8
Simplify
x=
−5+7y
8
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.
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?
Answers
x = one week worked
x = $800
Then, Oleksik will earn $416,000 in 52 weeks (one year).
What is your weight on Jupiter? (g = 26.0 m/s^2)
Answers
Answer:
depends on how much you weigh
2. Convert the following lengths to cm. (a) 15 mm (b) 27 mm (c) 48 mm
Answers
Answer:
15 mm = 1.5 cm
27 mm = 2.7 cm
48 mm = 4.8 cm
The lunch check is $16.98. Estimate the tip
using a rate of 15%
Answers
Tip would be $2.55
Explanation:
To calculate the tip. Multiply the rate over 100 by the price of the food.
15/100 = 0.15
So, 16.98*0.15 = 2.547
Round up to $2.55
Simplify.
1 - 4x + 3+ - 1 + 2
Enter your answer in the box.
Do not use decimals in your answer.
Basic
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7
00
9
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x2
vo
4
5
6
х
x=
XH
Answers
Answer:
4x + 4
Step-by-step explanation:
di ako sure pero i tried
Answer:
1/4 - 4x
Step-by-step explanation:
hope this helped
Can someone help me pls
Answers
Answer:
2.85 x 10^4
Step-by-step explanation:
please help! no work needs to be shown:)
Answers
Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.
Evaluate the expression 2b + 5 when b = 3
Answers
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
Solve for x
X-11=-2
Help
Answers
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]
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
Answers
Answer:
1000
Step-by-step explanation:
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?
Answers
Answer:
472.2 km
Step-by-step explanation:
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) = ( )
Answers
Answer:
a. (-1.2,0) (1.2,0)
b. (-1.2,0) (1.2,0)(0,-36)
c. (0,-36)
Plot all points that are a distance of 7 units from 4. What are their values?
Answers
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