Given:
The equation [tex]T=15n+12[/tex] represents the total amount T, in dollars, Salim will pay for n tickets.
To find:
What does 12 represent in the equation?
Solution:
The vendor charges a one-time service fee for processing the purchase of the tickets.
We have, the equation
[tex]T=15n+12[/tex]
Here, 15 is the coefficient of n and 12 is constant.
If n is number of tickets then 15 must be the price of each ticket.
12 is free from variable and it is fixed. So, it represents one-time service fee for processing the purchase of the tickets.
Therefore, 12 represents that one-time service fee for processing the purchase of the tickets is $12.
Help If u can please show ur work thank you
Answer:
the answer is 21
Step-by-step explanation:
21x2 = 42, 42+3 = 45
Answer: 21 cupcakes
Step-by-step explanation: x is the number of cupcakes. since she baked 45 cupcakes on tuesday, which is 3 more than 2x the number of cupcakes on monday, we would write 45=2x+3. First, subtract the 3 from both sides of the equation. This will give you 42=2x. Then divide both sides by 2. This will give you 21=x. So, the answer is 21
onsider the line y=-5+6.
find the equation of the line perpendicular to this line and passes through the point (-2,-3)
find the equation of the is parallel to this line and passes through the point (-2,-3)
Answer:
The equation of the line perpendicular to the given line is
[tex]y=\frac 1 5 x + \frac {-13}{5}[/tex].
The equation of the line perpendicular to the given line is
[tex]y=-5 x -13[/tex].
Step-by-step explanation:
The given line is y=-5x+6
The slope of the given line, [tex]m_1=-5[/tex]
Let [tex]y= m_2 x + C_2[/tex] be the slope of the line perpendicular to y=-5x+6,
where [tex]C_2[/tex] is constant.
As multiplication of slopes of two perpendicular lines equal to -1, so
[tex]m_1m_2=-1 \\\\\Rightarrow -5\times m_2= -1 \\\\\Rightarrow m_2= \frac {-1}{-5}= \frac 1 5[/tex]
So, the equation of the line perpendicular to the given line is
[tex]y=\frac 1 5 x +C_2[/tex] which passes through the point (-2,-3), so
[tex]-3=\frac 1 5 (-2) +C_2 \\\\\Rightarrow C_2 = -3 +\frac 2 5= \frac {-13}{5}[/tex]
Hence, the equation of the line perpendicular to the given line is
[tex]y=\frac 1 5 x + \frac {-13}{5}[/tex].
Now, let [tex]y=m_3 x +C_3[/tex] be the equation of the parallel line to y=-5x+6.
As the slopes of two parallel lines are the same, so [tex]m_3=-5[/tex].
So, the equation of the parallel line becomes
[tex]y=-5 x +C_3[/tex] which passes through the point (-2,-3), so
[tex]-3=-5 (-2) +C_3 \\\\\Rightarrow C_2 = -3 - 10 = -13[/tex]
Hence, the equation of the line perpendicular to the given line is
[tex]y=-5 x -13[/tex].
Is ΔWXZ ≅ ΔYZX? Why or why not? Yes, they are congruent by SAS. Yes, they are both right triangles. No, the triangles share side XZ. No, there is only one set of congruent sides.
Answer:
Yes, they are congruent by SAS.
Step-by-step explanation:
Answer:
Yeah your answer would be A. Yes, they are congruent by SAS!
hope this helps :D
Step-by-step explanation:
ASAP PLZ HELP ME QIETH THE QUESTION
Answer:
58 square units
Step-by-step explanation:
Take the shaded figure as a full larger rectangle minus the rectangular part which is not shaded.
Area of the full larger rectangle:
Area = length × width
Length = |12 - 2| = 10 units
Width = |8 - 1| = 7 units
Area = 10 × 7 = 70 units²
Area of the unshaded small rectangle:
Length = |10 - 4| = 6 units
Width = |3 - 1| = 2 units
Area = 6 × 2 = 12 units²
Area of the shaded figure = 70 - 12 = 58 square units
Put the steps of solving the equation in order from first to last.
2x + 1 = -1
Answer:
x = 1
Step-by-step explanation:
2x + 1 = -1
2x = -1 - 1
2x = -2
x = -2 ÷ -2
x = 1
At a birthday party, there is a rubber ducky game for children to play. The goal of the game is to randomly pick a duck out the pool that has an EVEN number on the bottom of it. There are a total of 62 ducks and 40 of them have even numbers on them. approximately, what percentage of ducks have even numbers on them?
A. 65%
B. 40%
C. 35%
D. 60%
Answer:
A
Step-by-step explanation:
40/62=.645 then move the decimal over 2 spaces
Answer: 65
Step-by-step explanation: 40/62 = .645•100= 65
Please help me! 30 points!
Answer:
Step-by-step explanation:
the in this picture is the 3rd one
6 gas-powered toy cars cost $6,000. The cost of each car is the same. What is the cost of each car?
Answer:
1,000$
Step-by-step explanation:
1,000 x 6 = 6,000$ or 6,000 in math
Answer:
$1,000
Step-by-step explanation:
x = 6,000/6
x = 1,000
When the sum of a number, n, and 6 is divided by 4 the
result is equal to 5. Set up and solve an equation to find
the value of n.
Answer:
n = 14
Step-by-step explanation:
(n + 6)4 = 5
1. multiply by 4
n + 6 = 20
2. substract 6
n = 14
The required value of n is 14 in the given sum.
What is algebra?Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.
We have been given that the sum of a number, n, and 6 is divided by 4 the result is equal to 5.
According to the given question, we can write the algebraic form would be as:
⇒ (n + 6)/4 = 5
Apply the cross-multiplication operation,
⇒ (n + 6) = 5 × 4
Apply the multiplication operation,
⇒ (n + 6) = 20
⇒ n = 20 - 6
Apply the subtraction operation,
⇒ n = 14
Therefore, the required value of n is 14.
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HELPPPPPPP MEEEEEE PLSSSSS!!!!!!
show working
Answer:
The value of x depends on the amount the length is going to run to.
Step-by-step explanation:
What is the solution of 5 = t/2 -3?
Answer:
t=16
Step-by-step explanation:
you have to change the numbers to get just the variable.
we start from -3.
5=t/2-3
8=t/2
(we multiply by 2 instead of dividing)
8×2=16
t=16
5. Seismologists use the Richter scale to measure the magnitudes and intensity of earthquakes that occur all over the earth. (see below, some info about Richter scales, and intensity formula)
Let’s say an earthquake hit Los Angeles, CA and had a magnitude of 3.4. If another earthquake hit Atlanta, GA and was a magnitude of 1.2, then how much more intense was the earthquake in LA?
Answer:
158.49
Step-by-step explanation:
10^(3.4 - 1.2) = 158.48931924611
round to 158.49
When Sebastian left his house in the morning, his cell phone battery was partially charged. The charge remaining in Sebastian's battery, as a percentage, can be modeled by the equation B=-9t+81, where t is the number of hours since Sebastian left his house. What is the slope of the equation and what is its interpretation in the context of the problem?
Answer:
The slope is -9
and the interpretation is that the percentage that drops on the battery per hour is 9%
Step-by-step explanation:
Generally, the equation of a straight line can be represented by the formula;
y = mx + b
where m is the slope and b is the y-intercept
With respect to the given equation, the slope is -9
What it means is that the percentage that drops per hour on the battery is 9%
Answer:
-9, the percentage charge that Sebastian's phone loses each hour
Step-by-step explanation:
What is the quotient in simplest form? StartFraction 8 Over 3 EndFraction divided by two-thirds 0 StartFraction 9 Over 16 EndFraction 1 and StartFraction 7 Over 9 EndFraction 4
Answer:
D: 4
Step-by-step explanation:
Answer:
4th answer
Step-by-step explanation:
Solve.
The perimeter of a college athletic field is 100 meters and the length is 18 m more than the width
Find the length, width and area.
take the breadth as x and accordingly length as (x+18)
the formula for finding the perimeter of a rectangle is 2(l+b) now put the correct values as shown in the picture and form an equation this way you will be able to find x which is the breadth and length Is 18 morethan breadth ,now as u have found both length and breadth go ahead and find the area whose formula is length×breadth
HOPE IT HELPS
Find the median of the following set of data:100,40,200,20
Answer:
Median=(n+1/2)th item
Now,
4+1/2
=2.5
Again,
2nd item+(3rd - 2nd item) *0.5
40+(200-40)*0.5
40+160*0.5
40+80
120
Therefore, Median =120
what is The “Big Stick Diplomacy"
Answer:
"Big Stick diplomacy is the policy of carefully mediated negotiation ("speaking softly") supported by the unspoken threat of a powerful military ("big stick")."
Step-by-step explanation:
(nationalgeographic)
Answer:
refers to President Theodore Roosevelt's foreign policy
Step-by-step explanation:
speak softly and carry a big stick; you will go far." Roosevelt described his style of foreign policy as "the exercise of intelligent forethought and of decisive action sufficiently far in advance of
please help and show work
Answer:
7a. 2x (The line rises by two units and runs (to the right) by 1 unit.)
7b. 3/4x The line drops by 3 units and runs (to the right) by 4 units.)
Triangle ABC is similar to triangle DEC.
Find the value of x.
Answer:
5.6
Step-by-step explanation:
EC = 10
BC = 14
14/10 = 1.4
DE = 4
AB = x = 1.4 * 4 = 5.6
Answer:
[tex]\frac{x}{14} = \frac{4}{10}[/tex] (set up as a proportion)
10x= 56 (cross multiply and then solve)
x= 5.6
Step-by-step explanation:
HELP!!!! WILL MARK BRAINLIEST!!!!!!
Answer:
2sqaured + 24
Step-by-step explanation:
.:$$:$;&4&4’xkekekenfnejeidndndj HELPPP
Answer: Yes
Step-by-step explanation: You can test whether a graph is a function by checking to see if the same X value is used twice. You can also use the Vertical line test to check aswell. Research Vertical Line Test if you are clueless. But Yes, this is a function
Write y = 2/5 x+ 5 in standard form
Answer:
-2x + 5y = 25
Step-by-step explanation:
Michael, who really likes to have a bag of chips with his lunch, is comparing chip prices at the store. He can buy a 10-pack of Double Cheese Crisps for $7.80 or a 15-pack of Cheddar Skins for $11.85. Which brand costs less per bag?
Answer:
10-pack of Double Cheese Crisps cost $7.80 cost less per bag
Step-by-step explanation:
Step one:
given
10-pack of Double Cheese Crisps cost $7.80
15-pack of Cheddar Skins cost $11.85
Required:
The unit cost per bag
Step two:
The unit cost of 10-pack of Double Cheese Crisps cost $7.80 is
7.8/10= $0.78
The unit cost of 15-pack of Cheddar Skins cost $11.85 is
11.85/15= $0.79
Answer:
double cheese crisps
Whats 39% as a fraction? Ik its 39/100 but is that the answer tho?
Answer:
Yes, 39/100 is the correct answer. You can't necessarily simpify it any further than that
Step-by-step explanation:
If the principal is $10, 624 and the rate of interest is 6.25%, what is the amount of interest after four years?
Answer:
$2656
Step-by-step explanation:
6.25% of $10,624 is $664, so that is the amount of interest every year.
$664 times 4 is $2656, so after 4 years $2656 will have been paid.
Worth 30 points. Help a homie out
Answer:
Multiply the second equation by -3 to get -3x - 9y = -30.
Step-by-step explanation:
When eliminating, you need to find a term with the negative of that term to combine so that they cancel each other out. An example would be 3x in the first equation and (-3x) in another equation so that when added, it becomes: 3x-3x = 0.
In the second equation, you see that there is already an x there and you just need to make it become (-3x). Thus, you multiply the entire second equation by -3 to make -3x. Once you have done that, you can combine the two equations and eliminate 3x from the first equation.
3x + 5y = 30
-3x - 9y = -30
3x + 5y -3x - 9y = 30 + (-30)
0 - 4y = 30 - 30
-4y = 0
You can find y and then x later on from here.
Find the coordinates of point b on ac such that the ratio of AB to BC is 2:1
A(2,-8)
C(-4,7)
Please help!!
Answer:
(-2, 3)
Step-by-step explanation:
the point B is
B(x,y)
x
AB (A to B) is twice BC ( B to C )
AB is 2 - x. BC is x - (-4)= x + 4
So
2-x=2 (x + 4)
2-x=2x + 8
3x = -6
x = -2
y
(Same logic as above)
AB is -5 -y. BC is u - 7
-5 -y = 2(y - 7)
-5 - y = 2y - 14
3y = 9
y= 3
the point is (-2, 3)
Answer quickly please
Solve the equation 6x +2y = 10 for y in terms of x gives what function?
y = -6x +10
y = -3x +5
y = 2x
y = 3x + 5
Answer:
y = - 3x + 5
Step-by-step explanation:
Given
6x + 2y = 10 ( subtract 6x from both sides )
2y = - 6x + 10 ( divide all terms by 2 )
y = - 3x + 5
The correct equation for y in terms of x would be, y = - 3x + 5
Hence, option 2 is true.
Used the concept of an equation that states that,
An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.
Given that the expression is,
6x + 2y = 10
Now, simplify the equation for y in terms of x as,
6x + 2y = 10
Subtract both sides by 6x,
2y = - 6x + 10
Divide both sides by 2,
y = - 3x + 5
So, The correct equation would be, y = - 3x + 5
Thus, option 2 is true.
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Alma is choosing a new smartphone and cellular service plan. Let p be the phone’s price in dollars, m be the cost of the selected plan in dollars per month, and C be Alma’s total cost in dollars after time t, measured in months of service. Write an equation that expresses C in terms of p, m, and t. Then solve your equation for t.
The value of the expression for t will be
t = (C - p)/m
How to calculate the equation?Let p = the phone’s price in dollars
m = the cost of the selected plan in dollars per month
C = Alma’s total cost in dollars after time t, measured in months of service.
Therefore, the equation that expresses C in terms of p, m, and t will be:
C = p + m(t)
To find t will be:
C = p + m(t)
Subtract p from both sides
C - p = m(t)
Divide through by m
t = (C - p)/m
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