Alex drives at an average speed that is
4/5 of the average speed that Roy's train travels.
Alex takes 15 minutes to travel 18 km in her car.
Roy travels for 1 hour and 45 minutes on his train.
How far does Roy travel to 2 dp?
Step-by-step explanation:
Alex takes 15 min to travel 18km
=> 1 hour amd 45 min to travel 18 * 7 = 126km.
Hence Roy travel 126km * (5/4) = 157.50km.
Solve the following logarithmic equation.
Christopher is deciding between two landscaping companies for his place of business. Company A charges $30 per hour and a $200 equipment fee. Company B charges $50 per hour and a $100 equipment fee. Let
A
A represent the amount Company A would charge for
t
t hours of landscaping, and let
B
B represent the amount Company B would charge for
t
t hours of landscaping. Write an equation for each situation, in terms of
t
,
t, and determine the number hours,
t
,
t, that would make the cost of each company the same.
Answer:
A=30t+200
B=50t+100
The number of hours,t, that would make the cost of each company the same is 5.
30(5)+200= A
150+200=350
50(5)+100= B
250+100=350
Delta math helpppp!!!!!!!!!
If average of 3 quantities is 15 , sum of quantities is....?
Answer:
45
Step-by-step explanation:
Let the three quantities be x, y and z.
[tex] \because \: average = \frac{sum \: of \: quantities}{no \: of \: quantities} \\ \\ \therefore \: 15 = \frac{x + y + z}{3} \\ \\ 15 \times 3 = x + y + z \\ \\ \huge \purple{ 45 = x + y + z}[/tex]
The ratio of apples to oranges in the fruit bowl is 1: 9 in the small bowl. If the extra large bowl has 40 fruit in total. How many are oranges?
Find the 19th term (-1,-4,-7,-10)
Answer:
- 55Step-by-step explanation:
Given sequence:
-1,-4,-7,-10, ...The first term is -1 and the common difference is -3
19th term is:
- 1 + 18(-3) = -1 - 54 = -55Select the correct answer.
Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6-9)?
OA. x= -9
OB. x=-6
Oc. y=9
OD. y= -4
Answer:
B. x = -6
Step-by-step explanation:
A line with the equation, y = ¼, is a horizontal line. Therefore, the line that is perpendicular to it would be a vertical line, which can be represented by the equation, x = a. Where, a is the x-value or the point where the vertical line intersects the x-axis. This x-coordinate remains the same for every point on the vertical line.
Thus, since the perpendicular line passes through (-6, -9), therefore, the value of a = -6.
Thus, the equation of the perpendicular line would be:
x = -6
A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain percent solve step by step
Given,
CP of cosmetics = Rs 360 per dozen
SP of a pair of cosmetics = Rs 80
We need to find the profit percentage.
Solution,
We know that,
1 dozen = 12 items
CP of 1 cosmetic = 360/12 = Rs 30
SP of 1 cosmetic = 80/2 = Rs 40
Profit = SP-CP
= Rs 40 - Rs 30
= Rs 10
Profit percentage is given by :
[tex]\%=\dfrac{profit}{CP}\times 100\\\\=\dfrac{10}{30}\times 100\\\\=33.34\%[/tex]
So, the profit percentage is 33.34%.
7. Are the ordered pairs below an arithmetic sequence or geometric
sequence?
(1,55)
(2, 45)
(3, 35)
(4, 25)
8. Using the formula: f(n) = f(1) + d(n-1), find f(9) for the ordered pairs
in #7.
Answer:
8. Arithmetic Progression
9. [tex]f(9) = 300[/tex]
Step-by-step explanation:
Given
[tex]\{(1,55)\ (2, 45)\ (3, 35)\ (4, 25)\}[/tex]
Solving (8): Arithmetic or Geometric
We start by checking if it is arithmetic by checking for common difference (d).
[tex]d = y_2 - y_1 = y_3 - y_2 = y_4 - y_3[/tex]
This gives:
[tex]d = 45 - 55 = 35 - 45 = 25 - 35[/tex]
[tex]d = -10 = -10 = -10[/tex]
[tex]d=-10[/tex]
Because the common difference is equal, then it is an arithmetic progression
Solving (8):
[tex]f(n) = f(1) + f(n-1)[/tex]
To find f(9), we substitute 9 for n
[tex]f(9) = f(1) + f(9-1)[/tex]
[tex]f(9) = f(1) + f(8)[/tex]
We need to solve for f(8); substitute 8 for n
[tex]f(8) = f(1) + f(8 - 1)[/tex]
[tex]f(8) = f(1) + f(7)[/tex]
We need to solve for f(7); substitute 7 for n
[tex]f(7) = f(1) + f(7 - 1)[/tex]
[tex]f(7) = f(1) + f(6)[/tex]
We need to solve for f(6); substitute 6 for n
[tex]f(6) = f(1) + f(6 - 1)[/tex]
[tex]f(6) = f(1) + f(5)[/tex]
We need to solve for f(5); substitute 6 for n
[tex]f(5) = f(1) + f(5 - 1)[/tex]
[tex]f(5) = f(1) + f(4)[/tex]
From the function, f(4) = 25 and f(1) = 55.
So:
[tex]f(5)=55 + 25[/tex]
[tex]f(5)=80[/tex]
[tex]f(6) = f(1) + f(5)[/tex]
[tex]f(6) = 55 + 80[/tex]
[tex]f(6) = 135[/tex]
[tex]f(7) = f(1) + f(6)[/tex]
[tex]f(7) = 55 + 135[/tex]
[tex]f(7) = 190[/tex]
[tex]f(8) = f(1) + f(7)[/tex]
[tex]f(8) = 55 + 190[/tex]
[tex]f(8) = 245[/tex]
[tex]f(9) = f(1) + f(8)[/tex]
[tex]f(9) = 55 + 245[/tex]
[tex]f(9) = 300[/tex]
Ella finished a bike race in 37.6 minutes. Miranda finished the race 9 1/10 minutes sooner than Ella finished it. How many minutes did it take Miranda to finish the race?
Answer:
56.7
Step-by-step explanation:
Just Add all numbers
w/6 = 6/9 Im failing mathhhh helpppp
Answer:
W = 4
Step-by-step explanation:
4/6 = 6/9
2/3 = 2/3
Write the equation of a line that is parallel to Y =3x-2 that passes through (4,1)
Answer:
The equation of the line is y = 3x - 11.
Step-by-step explanation:
We are given the equation of a line:
[tex]\bullet \ \ \ y = 3x -2[/tex]
We are also given a point at which the line passes through.
[tex]\bullet \ \ \ (4, 1)[/tex]
With parallel lines, it is important to note:
Parallel lines have the same slope.Parallel lines must have a different y-intercept.We can use the point-slope equation to find the equation of the line:
[tex]\displaystyle y-y_1 =m(x-x_1)\\\\y - 1 = 3(x - 4)\\\\y - 1 = 3x - 12\\\\y - 1 + 1 = 3x - 12 + 1\\\\y = 3x - 11[/tex]
Therefore, the line that is parallel to y = 3x - 2 and passes through the point (4, 1) is y = 3x - 11.
Pls Answer the Question in the Photo
Whoever answers gets brainlist!
Answer:
The answer would be A) 25
Step-by-step explanation:
Subtract 420 by 45 which is 375. The you just Divide 375 by 15 which is 25
Hope this helps! :)
Tell me if i am right or wrong!
Answer:
25
Step-by-step explanation:
because 420-45= 375÷15=25
Ted has scored 90 points in the first 5 games of the season. How many points per game has he scored?
Answer:
18
Step-by-step explanation:
Divide 90 by 5
Solve
5y+1/5y-25*1/25=0
Answer:
y = [tex]\frac{5}{26}[/tex]
Step-by-step explanation:
[tex]5y + \frac{1}{5}y - 25 * \frac{1}{25} = 0[/tex]
Simplify, remember the order of operarions;
1. Parentehsis
2. Exponents
3. Multiplication/division
4. Addition/subtraction
[tex]5y + \frac{1}{5}y - 25 * \frac{1}{25} = 0[/tex]
[tex]5y + \frac{1}{5}y - 1 = 0[/tex]
[tex]5y +0.2y - 1 = 0[/tex]
[tex]5.2y -1 =0[/tex]
Inverse operations;
[tex]5.2y -1 =0[/tex]
+1 +1
5.2y = 1
/5.2 /5.2
y = [tex]\frac{5}{26}[/tex]
What is 1/2x1/2 in fractions?
The requried multiplication of 1/2 and 1/2 is equal to 1/4. This means that if you divide a whole into 4 equal parts and then take one of those parts.
To multiply fractions, you simply multiply the numerators together and the denominators together.
The multiplication of 1/2 and 1/2 is calculated as follows:
(1/2) * (1/2) = (1 * 1) / (2 * 2)
= 1 / 4
Therefore, the multiplication of 1/2 and 1/2 is equal to 1/4. This means that if you divide a whole into 4 equal parts and then take one of those parts, it's equivalent to multiplying 1/2 by 1/2.
Learn more about multiplication here:
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Triangle MNO is congruent to Triangle PQR. What is the measure of
Answe
Step-by-step explanation:
Answer: C :79.5
Step-by-step explanation:
Since both triangles are congruent the angles are also congruent. P the measure we are trying to find is congruent to M since they’re equal it should look like this
5x-19 = 3x+20.4
5x = 3x+ 39.4
2x = 39.4
X= 19.7
to find the measure of angle P plug in X to its equation so
3x + 20.4
3 (19.7) + 20.4
= 79.5
What were some estimation strategies you used to keep yourself within the budget?
I'm not quite 'out there in the real world' but whenever I'm limited on money and whatnot, instead of trying to go ahead and add it all up by the exact price I'll round it up to the nearest dollar. Sometimes I'll even round it up two dollars. If it's something like '$25.98', I'll figure $27.00. That always helps me not spend as much.
Making a list and strictly following the list helps as well. I wouldn't try to spend money on things unessential, or things that you really don't have the money for.
Mike and Breanna like to run after swim practice each day. Usually they run the same distance, x miles. Today, however, they ran different
distances.
• Mike ran at 7 miles per hour and ran 2 more miles than usual.
• Breanna ran at 6 miles per hour and ran 1 more mile than usual.
Complete the table to show each person's distance and rate, which could be used to create rational equation relating their distance, rate, and
time
Distance
Rate
Mike
Breanna
Answer:
Step-by-step explanation: i got it right :) hopefully you get it in time!
How do you calculate run time and speed?
32 min * 8 min per mi = 4 miles How to calculate run time. Multiply your pace by your distance; If the pace is 9.5 minutes per mile and you run 3 miles: 9.5 min per mi × 3 mi = 28.5 minutes = 28 minutes, 30 seconds How to calculate running speed. Divide your run distance by your run time.
What do you do to calculate average speed?
choose one point on the line.choose another point on the line.find the time difference between the points.find the distance differences between the points.divide the differences in the distance by the difference in time.Learn more about average speed here https://brainly.com/question/5147964
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8n^2-17
I NEED AN ANSWER
Answer: 37
Step-by-step explanation:
which of the values satisfy the following inequality
|x-7.5| ≤ 17
select all that apply.
a. x = 27
b. x = -9
c. x = -10
d. x = 20
Answer:
So first look at the symbol. It must be less than or equal to 17.
By elimination A is 20.5 which is wrong
B is -16.5 by abs =16.5
C is -17.5 by abs = 17.5
D is 12.5
So B and D are possible solutions..
The radius of a cylindrical tank is 3’ and the height is 8’. What is the volume
Answer:
Given :-Radius of tank = 3 m Height of tank = 8 m To Find :-It's volume
Formula :-Volume = πr²h
Solution :-[tex] \tt \: volume = \dfrac{22}{7} \times 3 {}^{2} \times 8[/tex]
[tex] \tt volume \: = \frac{22}{7} \times 9 \times 8[/tex]
[tex] \tt \: volume = \dfrac{22}{7} \times 72[/tex]
[tex] \tt \: volume \approx \: 226.194[/tex]
Answer:
given. require. solution
r=3. v=? v=πr²h
h=8. v=3.14×3²×8
3.14×9×8
=226.08
12.3 + 17.8 - ( 3.3 x 2 )
Answer:
23.5
Step-by-step explanation:
12.3 + 17.8 - ( 3.3 x 2 )
12.3 + 17.8 - ( 6.6 )
30.1 - 6.6
23.5
A truck can carry up to 2,000 pounds. The truck is carrying 1,600 pounds divided equally among 8 crates.
What is the weight of each crate?A truck can carry up to 2,000 pounds. The truck is carrying 1,600 pounds divided equally among 8 crates.
What is the weight of each crate?
Answer:
200 pounds per crate
Step-by-step explanation:
because if you divide 1600 by 8 than you get 200 pounds. then that is you unit rate
Answer:
250
2000 divided by 8
Step-by-step explanation:
need answer thx in advanace!
Answer:
13
Step-by-step explanation:
The term is in an arithmetic progression.
That means there is 6 between each term and the next one.
Givens
a = -30
d = 6
last term an = 42
Formula
L = a + (n - 1)*d
Solution
42 = -30 + (n -1 )*6 Add 30 to both sides
42+30 = (n - 1) * 6 Combine the terms on the left.
72 = (n - 1)*6 Divide both sides by 6
72/6 = n - 1
12 = n - 1 Add 1 to both sides
12 + 1 = n
n = 13
a number s is at least -2 or less than -6 (how will it be graphed on a number line?)
Answer:
subtract 2-6 and the just put a - in front of 4 so -4
Step-by-step explanation:
Answer:
-2 will be 2 times to the left of zero and -6 would be 6 spaces to the left of zero.
Select the correct answer from each drop-down menu. Simplify the given polynomial and use it to complete the statement.
[tex]( - 5 {x}^{2} - 2x + 4) + (8 {x}^{2} - x - 1) - (x + 2)(x - 5)[/tex]
The polynomial simplifies to an expression that is a____
A.quadratic
B.liner
C.constany
______
A.trinomial
B.binomial
C.monomial
with a degree of____
A.1
B.2
C.0
Answer:
The polynomial simplifies to a quadratic with a degree of 2
Step-by-step explanation:
Expand and simplify everything
-5x²-2x+4+8x²-x-1-x²+5x-2x+10
-5x²+8x²-x²-2x-x+5x-2x+4-1+10
2x²+13
add the following algebraic expressions by vertical arrangement method
Answer:
9x + 2y
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
7x - 3y + 2x + 5y
Step 2: Simplify
Combine like terms (x): 9x - 3y + 5yCombine like terms (y): 9x + 2y