Explanation:
We replace 'a' with -3, and we replace x with 5. Then evaluate.
a - 2x
-3 - 2(5)
-3 - 10
-13
A number is chosen uniformly at random from among the positive integers less than $10^8$. Given that the sum of the digits of the number is 9, what is the probability that the number is prime
Answer:
If the sum of the digits of a number is divisible by 9, then that number is divisible by 9. An..... sorry if this does not help :(
Step-by-step explanation:
Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing a total of $37.25. Zoe went into the same movie theater and bough 8 bags of popcorn and 9 pretzels, costing a total of $102.25. Write and solve a system of equations to determine the price of each bag of popcorn and the price of each pretzel.
Taking into account the definition of a system of linear equations, the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
In this case, a system of linear equations must be proposed taking into account that:
x: price of each bag of popcorn. y: the price of each pretzel.On one hand, Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing a total of $37.25. This is expressed by 2x+5y= 37.25
Zoe went into the same movie theater and bough 8 bags of popcorn and 9 pretzels, costing a total of $102.25. This is expressed by 8x+9y=102.25
So, the system of equations to solve is:
[tex]\left \{ {{2x+5y=37.25} \atop {8x+9y=102.25}} \right.[/tex]
There are various methods to solve a system of equations, it is decided to solve by the substitution method, which consists of solving one of the two variables in one of the equations of the system and substituting its value in the other equation.
So, isolating the variable x from the first equation:
2x+5y= 37.25
2x= 37.25 - 5y
x= (37.25 - 5y)÷2
x= 18.625 - [tex]\frac{5}{2}[/tex]y
Replacing in the second equation:
8×(18.625 - [tex]\frac{5}{2}[/tex]y)+9y=102.25
Solving:
8×18.625 - 8×[tex]\frac{5}{2}[/tex]y+9y=102.25
149 - 20y + 9y=102.25
149 -11y= 102.25
-11y= 102.25-149
-11y= -46.75
y= (-46.75)÷ (-11)
y= 4.25
Finally, replacing in x= 18.625 - [tex]\frac{5}{2}[/tex]y and solving you get:
x= 18.625 - [tex]\frac{5}{2}[/tex]×4.25
x= 18.625 - 10.625
x=8
Remembering that x represents the price of each bag of popcorn and y represents the price of each pretzel, you get that the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.
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Determine whether the graph represents a function. *
Answer:
Not a function
Step-by-step explanation:
There are two points that correspond to the same variable
Hope this helps
Answer:
not a function
Step-by-step explanation:
There are two points that have the same x and different y values
This would fail the vertical line test.
#5: Consider the expression below. Which of the following numbers are coefficients? Select all that apply.
9x2 + 5x – 8 + 3x2
A. 9
B. 5
C. 8
D. -8
E. 3
Answer:
B
Step-by-step explanation:
the 5 in 5X.
PLS ANSWER QUICK I HSVE EXAMS COMING UP VERY SOON у
42) Which equation best represents the line of best fit for this
scatter plot?
A. y = 4x - 4
B.y= 4x-2
C. y = x-4
D. y=x-2
-5-4-3-
I NEED HELP PLEASE! Thank you
Answer:
A
Step-by-step explanation:
21 -6×3
-6×3=-18
21-18
=3
What is three minus X equals 11
Answer:
x= -8
Step-by-step explanation:
Subtract 3 from both sides to isolate the variable
Divide the variable by -1 so it can become positive; whatever you do to one side, you have to do to the other.
You'll end up with the equation of x= -8 if you do it correctly
who wants to help i really dont wanna do this question
Answer:
71
Step-by-step explanation:
(2x² = 2 × 5² = 2 × 25) + ([4x = 4 × 5 = 20] + 1)
(50) + (21) = 71
The graph shows how the number of hats in your collection increased since you began collecting 6 months ago. How many hats did you collect during the second month? Hat Collection A graph has time (months) on the x-axis, and total number of hats on the y-axis. Lines connect points (0, 0), (1, 3), (2, 5), (3, 8), (4, 9), (5, 10), (6, 12). hats
Answer:
Step-by-step explanation:
Two hats were collected in the second month (5-3) =2.
Which of the following are valid names for the given triangle? Check all that
apply.
Answer:
A) AXT
C) TAX
F) XTA
=====================================
Explanation:
We name a triangle based on its corner points (aka vertex points). Those three points are A, T and X. The order doesn't matter so there are 6 ways to name this triangle and they are
ATXAXTTAXTXAXATXTAThe terms in bold are the final answers. Anything involving M or Y isn't part of the naming because we use the corner points only.
How many lines of symmetry does this have it. If none put 0.
Answer:
well a line of symmetry is a line that cuts a shape directly in half in this case there is 4Step-by-step explanation:
Round 68,533 to the nearest hundred.
Answer:
68,500
Step-by-step explanation:
68,533 <- Hundreds place is underlined
[] To round, we look at the number right the place. If it is less than 5, keep it the same. If it is five or greater , round up.
[] In this case it is a 3, so we keep it the same. We get an answer of 68,500
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Could anyone help out? It's 11pm and I have finals tmrw :/
For the given polynomial P(x) and the given c, use the remainder theorem to find P(c). 3 P(x) = 5x? - 2x2 – 3x+ 3; - 4
There i hope it help
Stay safe and study hard
G=4ba
Solve for A
Pls
Answer:
a=g/4b
Step-by-step explanation:
g=4ba
g/4b=a
a=g/4b
kam
An object oscillates as it moves along
the x-axis. Its displacement varies with
time according to the equation
x = 3 cos(6pi t + pi/2)
where t is in seconds
What is the frequency of this motion?
The frequency of this motion is 3 Hz
The standard equation of an oscillation is given by:
x = A cos(ωt + Ф)
Where x is displacement, A is amplitude, ω is angular frequency = 2πf and Ф is phase difference.
Given the equation:
x = 3 cos(6πt + π/2)
Hence;
ω = 6π
2πf = 6π
f = 3 Hz
The frequency of this motion is 3 Hz
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Ok so how can you tell if 2 angles are complementary, vertical, or supplementary? I don't know how to tell and I have pre-algebra hw due tomorrow.
Complementary angles are two angles that add up to 90°
Supplementary angles are two angles that add up to 180°
Vertical angles are two angles that are opposite of each other and are also congruent
You are 5 years less than your older brother express the age of your elder brother in terms of your age using variable
Answer:
Step-by-step explanation:
If x represents your age then the age of your elder brother
is x + 5 years.
Answer:
Your age = y
So the variable expressing the age of your elder brother would be y + 5 (years).
Hope that helps?
hunter has a jar of 368 nickels and dimes. the total value of coins is $28.40. which system of equations below would be the best to use to find the number of nickels and dimes hunter has?
Answer:
We can't see your answer choices, but it would be n + d = 368 and .05n + .10d = 28.40
Step-by-step explanation:
n+d=368 and 0.05n+0.1d=$28.40 is the system of equations below would be the best to use to find the number of nickels and dimes hunter has
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that hunter has a jar of 368 nickels and dimes.
The total value of coins is $28.40.
We need to find the system of equations below would be the best to use to find the number of nickels and dimes hunter has
The total quantity of nickels and dimes is 328
n+d=368
The value of nickel is 0.05 dollars
The value of dime is 0.10 dollars
0.05n+0.1d=$28.40
Hence, n+d=368 and 0.05n+0.1d=$28.40 is the system of equations below would be the best to use to find the number of nickels and dimes hunter has
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A circumference of the wheel of Victoria is 4.4m. How much distance coill it cover in 500 revolutions?
[tex]\huge \bf༆ Answer ༄[/tex]
Total distance covered is equal to ~
Number of revolutions × circumference [tex] \sf500 \times 4.4[/tex][tex] \sf2200 \: m[/tex]Hence distance covered = 2200 m = 2.2 km
The area of a triangle is 30 square inches.
The base of the triangle is x - 6 inches,
and the height is x + 5 inches.
Find the value of x, and the dimensions of the triangle.
A = 1/2bh
x=
base=
height=
Answer:
x=10
base=4inches
height=15inches
Step-by-step explanation:
A=1/2bh
30=1/2(x-6)(x+5)
60= x²+5x-6x-30
x²-x-90=0
x²-10x+9x-90=0
x(x-10) +9(x-10)=0
(x+9)(x-10)=0
x= -9 or 10
x cannot be negative
Therefore x= 10
base= 10-6
=4inches
height=10+5
=15inches
HOME WORK DUE SOON PLZ HELP!!!!!
what is the slope of this graph?
Answer
16
Step-by-step explanation:
slope go up 16 every time
Write the following statements in the form of equations.
a. The sum of five times p and 8 is 23.
b. If you subtract 6 from 3 times a number, you get 18.
c. One third of a number plus 7 is 26.
Answer:
a. The sum of five times p and 8 is 23.
Test 1 2021-22 19 of 9
The graph represents Samantha's walk in front of a motion detector. Identify two points marked on the graph that define the interval
where her average rate of change was 2/3 meters per second.
Motion Detector Walk
Given that the shape of the graph is curved, the rate of change can be
estimated by using the average value between specified points.
The points are;
[tex]\underline{(6, \, 6)}[/tex][tex]\underline {(9, \, 8)}[/tex]Reasons:
The coordinates of the points marked (distances and time) during the walk are;
[tex]\begin{tabular}{|c|c|}Time (seconds), x&Distance from motion detector (meters), y\\0&1\\3&2\\5&4\\6&6\\7&7\\9&8\end{array}\right][/tex]
Required: Identification of two points marked on the graph that define the
interval where Samantha's average rate of change was 2/3 meters per
second.
Solution:
The average rate of change between two points is given by the ratio of
difference in the distance from the motion detector to the difference in
time between the points.
[tex]\displaystyle Average \ rate \ of \ change = \frac{Change \ in \ distance}{Change \ in \ time} = \mathbf{ \frac{\Delta y}{\Delta x}}[/tex]
At the required points, the change in the y-values, will be 2 × a, while the
corresponding change in x-values will be 3 × a, where, a is rational number.
From the above table, at the points where the time is 6 seconds and 9
seconds, we have the following distance time ordered pair;
(6, 6), and (9, 8), from which we have;
[tex]\displaystyle Average \ rate \ of \ change =\frac{\Delta y}{\Delta x} = \mathbf{\frac{8 - 6}{9 - 6}} = \frac{2}{3}[/tex]
Therefore;
The points [tex]\underline{(6, \, 6)}[/tex], and [tex]\underline {(9, \, 8)}[/tex], are two points that represent an interval
where her average rate of change was 2/3 meters per second.
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can hellp me with this plzzzzzzz no links plz
(-14,-3) (6,10) find the slope and explain
please
Answer:
The slope would be 13/20
Step-by-step explanation:
10-(-3) is 13 (numerator) and 6-(-14) is 20 (denominator)
hope this helps!!
HELP URGENT!!! RESPOND QUICKLY!!!
Answer:
i think x = 7 y = 11
Step-by-step explanation:
have a nice dae
Edward deposited $6,000 into a savings account 5 years ago. The simple interest rate is 4%. How much money did Edward earn in interest? Need answer in under 10 minutes
Answer:
,..................... 6000*12*5 %4 =630
Answer:
6240
Step-by-step explanation:
It's it 6,000+4% it's = 6240
Write an equation that represent the line
Calculate 3 tonnes 335kg - 905kg and give the answer in tonnes
Answer:
2430kg
Step-by-step explanation:
3 tonnes is 3000kg so 3 tonnes 335kg is 3335kg. Take 3335 - 905 you get 2430
What is the value of x in the equation 8x – 2y = 48, when y = 4?
Answer:
x = 7
Step-by-step explanation:
Substitute y = 4 into the equation and solve for x
8x - 2(4) = 48
8x - 8 = 48 ( add 8 to both sides )
8x = 56 ( divide both sides by 8 )
x = 7
Answer:
x = 7
Step-by-step explanation:
8x - 2y = 48
y = 4
First, let's substitute y for it's actual value as we know it.
8x - 8 = 48
Next, add 8 on both sides. (When doing these sort of questions you must do the inverse.)
8x = 56
Divide both sides by 8 to get x.
x = 7
Hope this helps and I hope you have a good day!:)