Answer: 210 advanced tickets were sold. 130 same day tickets were sold.
Step-by-step explanation:
x= advanced tickets y=same day tickets
2x+3y=810 this equation represents the money
x+y=340 this equation represents the total number of tickets
x+y=340
-x -x
y=-340-x 2x+3(340-x)=810 210+y=340
2x+1020-3x=810 -210 -210
-x+1020=810 y=130
-1020 -1020
-x=-210
-1 -1
x=210
contsruction workers resurface parts of the N1 highway . they completed 2km per day how many kilometers are completed in total after the first three years
Answer:
2 190km
Step-by-step explanation:
365×3= 1 095
1 095×2km= 2 190km
how to make a decimal into a fraction
Answer:
you have to make a fraction into a whole number.
Step-by-step explanation:
. Find the value of x for which ABCD must be a parallelogram.
B
3x
4x - 5
A
D
Answer:
x = 5
Step-by-step explanation:
make them equal to each other
3x = 4x-5
x = 5
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Triplets Peter, Reeta and Nikita have two ways for getting home from school each day: cycle on a tandem bike or walk. The bike can carry either one or two riders at a time. Regardless of the number of people pedalling, cycling speed is 5 times walking speed. The triplets always leave school at the same time and always use the same path between school and home, whether walking or cycling. The school is 5km from home and their walking speed is 4 kilometres per hour.
d) On Thursday, it is Reeta's turn to walk. Peter drops Nikita off at a certain point leaving her to walk home, Meanwhile he returns to pick up Reeta and they cycle home together. If all three arrive home at the same time, how far from school are the drop-off ad pick up points.
Answer:
Pick up point is 1.43 km from the school and drop point is 3.57 km from the school ( to the nearest hundredth).
Step-by-step explanation:
School <----------- 5 km ---------------> Home
_______ P _______ D _______
x km y km 5-x-y km
_______
y
_________________
5-x km
D is the point where Peter drops off N and P is the pick point x km from the school where Peter picks up R. He travels back y km to pick up R.
We work in times:
Time = distance / speed
The time that R walks from the school to point P is the same as Peter travels the distance (x + 2y) km, so we have
x/5 = (x + 2y)/20
20x = 5x + 10y
15x - 10y = 0 A
The time that N walks home equals the time that Peter travels y + 5 - x km.
So (y + 5 - x)/20 = (5 - x - y)/5
5y + 25 - 5x = 100 - 20x - 20y
15x + 25y = 75
3x + 5y = 15 B
Solving equation A and B
15x - 10y = 0
3x + 5y = 15
Multiply the second equation by 2:
6x + 10y = 30
Adding this to the first equation
21x = 30
x = 30/21 = 1.4285
So 3(1.4285) + 5y = 15
y = 2.1428
Pick up x = 1.43 km
and the drop is 1.43 + 2.14 = 3,57 km from the school
What is the solution to the following
equation?
7x - 20 = -41
-
a). X=-3
b). X=3
Answer:
A). X = -3
Step-by-step explanation:
Step 1: Add 20 to both sides.
[tex]7x-20+20=-41+20[/tex] [tex]7x=-21[/tex]Step 2: Divide both sides by 7.
[tex]7x/7 = -21/7\\[/tex] [tex]x=-3[/tex]Step 3: Check if solution is correct.
[tex]7(-3)-20=-41[/tex] [tex]-21-20=-41[/tex] [tex]-41=-41[/tex]2) Frank's Auto Zone charges $125 for parts and $75 per hour for labor.
Gracie's Engine Works charges a flat fee of $425 for the same job. Aft
how many hours would the companies charge the same amount?
Mark only one oval.
A) 2 hours
B) 3 hours
C) 4 hours
D) 5 hours
Answer:
the answer is c 4 hours because it's 75 per hour
Lorenzo increases all the prices on his restaurant menu by 8%
After the increase, the price of lasagne is £9.45
Work out the price of lasagne before the increase.
Step-by-step explanation:
to add 8% the simplest operation is to multiply the basic amount by 1.08.
so,
£9.45 = original price × 1.08
original price = £9.45/1.08 = £8.75
the price before the increase was £8.75.
I don't have a question but x + 8900 = 390
Answer:
you did it wrong you have to subtract X from 8900.
First you want to subtract 390 from 8900 and that equals
8510A student claims that the equation y = 7 is not a linear equation because it does not have the form y = mx + b. Do you agree or disagree? Why?
Answer:
This is correct because linear equations have to be in slope-int form
Step-by-step explanation:
The mean length of 7 childrens' index finger is 9.4cm. The mean length of 5 adults' index finger is 10.2cm. What is the mean length (rounded to 2 DP) of these 12 people's index finger?
Answer:
9.73 cm to 2 DP
Step-by-step explanation:
Total of the lengths involved = 7*9.4 + 5*10.2
= 116.8 cm
So the mean of the 12 fingers
= 116.8/12
= 9.73 cm to 2 DP.
Find the value of x in the equation without evaluating the power
Answer:
See below
Step-by-step explanation:
2 ^(5+x) = 2^8 (because 256 = 2^8)
equate the exponents 5+x = 8 then x = 3
1/3 ^(2+x) = 1 / 3^ 6 (because 729 = 3^6 )
equate the exponents 2+ x = 6 then x = 4
Answer:
a) x = 3
b) x = 4
Step-by-step explanation:
Use the Exponential Power Rule.
[tex]a^x \times a^y = a^{x+y}[/tex]
Also covert the term on the right to the same base as on the left.
If you are allowed to have calculator do [tex]\log_{\text{base}} (\text{number})[/tex] to get the exponent. For example [tex]\log_{2} (256) = 8[/tex], that means [tex]256 = 2^8.[/tex]
Without calculator you can divide with base untill you have it fully factored, then count. For example:
256/2 = 128
128/2 = 64
64/2 = 32
32/2 = 16
16/2 = 8
8/2 = 4
4/2 = 2
2/2 = 1
We had to divide with base two 8 times so 256 = 2⁸.
a)
[tex]2^5 \cdot 2^x = 256\\2^{5+x} = 2^8[/tex]
Now that we have same base we can equate the exponents!
[tex]5 + x = 8\\x = 8 - 5\\x = 3[/tex]
b)
[tex](\frac{1}{3})^2 \cdot (\frac{1}{3})^x = \frac{1}{729}\\\\(\frac{1}{3})^{2+x} = \frac{1}{3^6}\\\\(\frac{1}{3})^{2+x} = (\frac{1}{3})^6[/tex]
[tex]2 + x = 6\\x = 6 - 2\\x = 4[/tex]
Which tables could be used to verify that the functions they represent are inverses of each other? select two options.
The tables that can be used to show that the functions that made them are inverses of each other are the tables attached.
Which tables have functions that are the inverse of each other?When functions are inverses of each other, they will give inverted x and y values.
This means that the value of x for one function, will be the value of y for the other function.
The tables that have inverse functions will therefore have a table where x values of:
627, 227, 27, 2, and 27 which will be y values in the other table.
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If f(x) = 16x^2 – 20x, what is the value of f(3)?
(Pls show work)
Answer:
f(3) = 84
Step-by-step explanation:
To evaluate a function for a specific value of the variable, put the value in the function's expression where the variable is, and do the arithmetic.
__
Sometimes it works well to simplify the expression a bit.
f(x) = 16x^2 -20x = 4x(4x -5)
f(3) = 4(3)(4(3) -5)) = (12)(7)
f(3) = 84
if g(x) = 3x+1 what is g(2)?
Answer:
7
Step-by-step explanation:
Substitute 2 into x
g(2)= 3(2)+1
= (3x2)+1
= 6+1
= 7
1. How many ounces of pure salt must be added to 11oz of
40% salt solution to produce a 75% solution? (Pure salt is 100%.)
Round your answer to the nearest hundredth of an oz.
oz.
To produce a 75% solution, it is required to add a total of 3.85 ounces of pure salt to the initial solution.
How many ounces of salt are there in the initial solution?11 oz = 100x = 40x = 11 x 40 / 100x = 4.4 ozHow many ounces of salt need to be added?4.4 oz = 40x = 75x = 75 x 4.4 / 40x = 8.258.25 - 4.4 = 3.85 ouncesLearn more about ounces in: https://brainly.com/question/26950819
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Triangle ABC is a right triangle find x
Answer:
25Step-by-step explanation:
from the figure and the values we understand that it is an isosceles right triangle, therefore with the two sides and the 2 angles are congruent,
so x = 25
3. What is the best description of an isosceles triangle?
a triangle with a right angle
a triangle with all equal sides
a triangle with no equal sides
a triangle with two equal sides
Answer:
a triangle with two equal sides
Step-by-step explanation:
In circle J with the measure of minor arc \stackrel{\Large \frown}{HK}=58^{\circ}, HK ⌢ =58 ∘ , find \text{m} \angle HLK.m∠HLK
By applying the central angle property, the measure of angle HLK is equal to 29°.
What is the central angle property?The central angle property states that an inscribed angle is equal to half the measure of a central angle that is subtended by the same arc.
This ultimately implies that, a central angle is double (twice) the measure of an inscribed angle that is subtended by the same arc.
By applying the central angle property, we have:
HK = 2m∠HLK
58 = 2m∠HLK
m∠HLK = 58/2
m∠HLK = 29°.
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What is the length of AP?
Answer: 4) 24
Step-by-step explanation:
A box has a length of 5 feet, width of 4 feet, be a height of 8 inches. what is the volume of the box in cubic inches
Answer:
160in³
Step-by-step explanation:
V = lwh
V = 5(4)(8)
V = 40(4)
V = 160in³
Frank worked 48 hours this week. He gets paid $18 per hour for the first 40 hours and then
Gets time-and-a-half (1.5) for the rest of the time. How much money did he make this week
in total?
Ali bought 212 pounds of ground turkey at $2.50 per pound and 314 pounds of ground beef at $3.20 per pound.
What was her total cost?
Enter your answer in the box.
Answer:
Step-by-step explanation:
the total cost for this question is $12.10.
let me know if this helped.
Which algebraic representation shows a reduction? (x, y) → (x - 3, y - 3) (x, y) → (12x, 12y) (x, y) → (-3x, -3y) (x, y) → (-3x, y)
Answer:
hello!!!!
im pretty sure the answer is (x, y) --> (-3x, -3y)
please read the explanation it always helps!!!
Step-by-step explanation:
reduction most likely means that you are dealing with dilations in geometry....
and that means you will need to multiply both x and y by a negative number.
i hope this helps!!!
The quotient of (x4 – 3x2 4x – 3) and (x2 x – 3) is a polynomial. what is the quotient?
The quotient of (x⁴ - 3x² + 4x - 3) and (x² + x - 3) is x² - x + 1
How to determine the quotient?The quotient expression is given as:
(x⁴ - 3x² + 4x - 3) ÷ (x² + x - 3)
Factor the dividend of the quotient expression
(x² + x - 3)(x² - x + 1) ÷ (x² + x - 3)
Cancel out the common factors
x² - x + 1
The above means that:
The quotient of (x⁴ - 3x² + 4x - 3) and (x² + x - 3) is x² - x + 1
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Decide whether the data in the table represent a linear function or an
exponential function. Explain how you know.
X
y
1
4
2
-5
3
-14
-23
5
-32
O A. The data represent an exponential function because there is a
common ratio of
5
4
OB. The data represent a linear function because there is a common
difference of -9.
OC. The data represent a linear function because there is a common
difference of 9.
OD. The data represent an exponential function because there is a
4
Answer:
Its a linear function as there is a common difference of -9.
Step-by-step explanation:
x y Difference
1 4
2 -5 -9
3 -14 -9
4 -23 -9
5 -32 -9
For a difference in x of we have a difference in y of -9.
help me please I need it
Answer:
A
Step-by-step explanation:
The formula for a rectangular prism is length*width*height. Thus, the equation would be 6*4*16, which equals 384 cm^3.
Between which two consecutive whole numbers does \sqrt{37}
37
lie? Fill out the sentence below to justify your answer and use your mouse to drag \sqrt{37}
37
to an approximately correct location on the number line.
Natural numbers are those that can be counted and ordered. The two consecutive whole numbers between which √37 lies are 6 and 7.
What are natural numbers?Natural numbers are those that can be counted and ordered. Cardinal numbers are those used for counting, while ordinal numbers are those used for ranking.
The value of √37 is equal to 6.0827 units. Therefore, the two consecutive whole numbers between which √37 lies are 6 and 7.
Learn more about Natural Numbers:
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What is the missing number in the table?
x
1
2
3
4
5
y
6
36
216
???
7,776
252
396
864
1,296
math question need helpp
Answer:
(5^6)/(5^3) = 5^3 or 125
Step-by-step explanation:
^ = raised power
(5^6)/(5^3)
because base (5) is same:
law of indices: n^a ÷ n^d = n^(a-d)
therefore
5^6 ÷ 5^3 = 5^(6-3)
= 5^3 which is 125
If $535 is invested at an interest rate of 7% per year and is compounded continuously how much for the investment be worth in 15 years?
Answer:
some people an fly high until good bye
Step-by-step explanation:
Answer:
The final balance would be $1,528.84
Step-by-step explanation:
The final balance would be $1,528.84 and the total compound interest would be $993.84