Answer:
[tex]\left\{\begin{matrix}x+y=10\\ 0.05x+0.10y=0.85\end{matrix}\right.[/tex]
Step-by-step explanation:
System of Equations
Let's call:
x = number of nickels in the student's pocket
y = number of dimes in the student's pocket
Each nickel has a value of $0.05, so x nickels have a value of 0.05x
Each dime has a value of $0.10, so y dimes have a value of 0.10y
The student has a total of 10 coins, thus:
[tex]x+y=10[/tex]
The total value of the coins is $0.85, thus
[tex]0.05x+0.10y=0.85[/tex]
The system of linear equations that represents this scenario is:
[tex]\left\{\begin{matrix}x+y=10\\ 0.05x+0.10y=0.85\end{matrix}\right.[/tex]
I NEED HELPPP QUICKK
I don't know how to do this can someone help me plz!?!?
Answer:
7) no 8) no 9) no 10)yes 11) yes 12) yes 13) k=42 14) c=30 15)a=42
Step-by-step explanation:
Answer:
do you still need help
Step-by-step explanation:
the product of a number and 4
Answer:
4n or n × 4
Step-by-step explanation:
Product means the result of multiplying factors.
Factors are the numbers or variables (a number, unknown) that are multiplied.
Knowing that ΔQPT ≅ ΔARZ, a congruent side pair is:
A. QT ≅ AZ
B. QP ≅ AZ
C. PT ≅ AR
D. QT ≅ RZ
Answer:
a.
Step-by-step explanation:
A movie theater has 400 seats. Tickets at the theater cost $8 for students, $10 for adults, and $7 for senior citizens. On a night when all the seats were sold, the theater made $3,535 from ticket sales. If the number of adult tickets sold was 10 less than the number of student and senior tickets combined, how many senior tickets were sold?
a. 55 senior tickets
b. 150 senior tickets
c. 195 senior tickets
d. 255 senior tickets
Answer: 55 senior tickets
Step-by-step explanation:
The tickets that were sold to senior citizen is 55.
What is System of equations?When two or more equations are solved together and the solution satisfies all the equation , then the set of equation are termed as system of equations.
It is given in the question that
A movie theater has 400 seats
Tickets at the theater cost
$8 for students
$7 for senior citizens
$10 for adults
All the tickets were sold
Total revenue made from sales = $3,535
If the number of adult tickets sold was 10 less than the number of student and senior tickets combined
Let the ticket sold to students = x
Sold to senior citizen = y
Sold to adults = z
z = (x+y) - 10
x+y+z = 400
x+y+x+y-10= 400
2(x+y) = 410
x+y = 205
z= 205-10
z = 195
8 *x +7*y +10*z = 3535
8x+7y +1950 = 3535
8x+7y = 1585
x+y = 205
8x+8y=1640
y =55
Therefore the tickets that were sold to senior citizen is 55.,
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An aircraft flying onto an airport calls out the control tower and says it is at height of 500M above the tower .If its horizontal distance from the tower is 8KM ,calculate the angle of elevation from the top of the tower.
Answer:
32°
Step-by-step explanation:
As the aircraft horizontal distance is 'a', the vertical distance from the tower is 'o' . The 'a' is 8000M and 'o' is 500M.
[tex] tan(angle) = o \div a [/tex]
Thus, angle=32°
Answer:
32° is the answer.......
pls help me to find K as the subject of formula
Answer:
k = [tex]\frac{u^2y-x}{u^2-1}[/tex]
Step-by-step explanation:
Given
u = [tex]\sqrt{\frac{k-x}{k-y} }[/tex] ( square both sides )
u² = [tex]\frac{k-x}{k-y}[/tex] ← multiply both sides by (k - y)
u²(k - y) = k - x ← distribute left side
u²k - u²y = k - x ( subtract k from both sides )
u²k - k - u²y = - x ( add u²y to both sides )
u²k - k = u²y - x ← factor out k from each term on the left side
k(u² - 1) = u²y - x ← divide both sides by (u² - 1)
k = [tex]\frac{u^2y-x}{u^2-1}[/tex]
Express the following absolute value inequality as two inequalities.
|x+2|>1
Answer:
it can be either one of this
x<-3 or x > -1
Evaluate the expression: -3 - |-3|
Answer:
-6
Step-by-step explanation:
-3-3=-6
Step-by-step explanation:
-3-|-3|
-3+3
0
-×-=+
hope that helps
NEED HELP FAST WILL GIVE BRAILYIST What is the solution to Negative 1 minus 7?
–8 –6 6 8
Answer:
-8
Step-by-step explanation:
took the test
If your annual salary is $64,710, what is your semimonthly salary?
a) $1,244.42
Ob) $2,696.25
O d) $5,392.50
O c) $2,488.84
D. Every other month you are paid, just estimate an amount times 6 and just pick the most realistic answer
Answer:
ob) $2,696.25
Step-by-step explanation:
its B because you divide your annual salary by 2*12 (semimonthly means 2 times a month and theirs 12 months in a year) so that would be 24 divided by $64,710 which is $2,696.25
I want help with my ALEKS homework !! :)
G is 95
H is 65
I is 20
Decrease £110 by 10%
PLEASE HELP ASAP! URGENT!
Answer:
a-yes
b-no
c-no
d-yes
e-yes
Can someone thoroughly explain this implicit differentiation with a trig function. No matter how many times I try to solve this, I get it wrong. I’ve tried the quotient rule, and I’ve tried multiplying that (8 + x^2) to the other side to do the chain + product rule. I wanna know where I went wrong
Answer:
[tex]\frac{dy}{dx}=y'=\frac{\sec^2(x-y)(8+x^2)^2+2xy}{(8+x^2)(1+\sec^2(x-y)(8+x^2))}[/tex]
Step-by-step explanation:
So we have the equation:
[tex]\tan(x-y)=\frac{y}{8+x^2}[/tex]
And we want to find dy/dx.
So, let's take the derivative of both sides:
[tex]\frac{d}{dx}[\tan(x-y)]=\frac{d}{dx}[\frac{y}{8+x^2}][/tex]
Let's do each side individually.
Left Side:
We have:
[tex]\frac{d}{dx}[\tan(x-y)][/tex]
We can use the chain rule, where:
[tex](u(v(x))'=u'(v(x))\cdot v'(x)[/tex]
Let u(x) be tan(x). Then v(x) is (x-y). Remember that d/dx(tan(x)) is sec²(x). So:
[tex]=\sec^2(x-y)\cdot (\frac{d}{dx}[x-y])[/tex]
Differentiate x like normally. Implicitly differentiate for y. This yields:
[tex]=\sec^2(x-y)(1-y')[/tex]
Distribute:
[tex]=\sec^2(x-y)-y'\sec^2(x-y)[/tex]
And that is our left side.
Right Side:
We have:
[tex]\frac{d}{dx}[\frac{y}{8+x^2}][/tex]
We can use the quotient rule, where:
[tex]\frac{d}{dx}[f/g]=\frac{f'g-fg'}{g^2}[/tex]
f is y. g is (8+x²). So:
[tex]=\frac{\frac{d}{dx}[y](8+x^2)-(y)\frac{d}{dx}(8+x^2)}{(8+x^2)^2}[/tex]
Differentiate:
[tex]=\frac{y'(8+x^2)-2xy}{(8+x^2)^2}[/tex]
And that is our right side.
So, our entire equation is:
[tex]\sec^2(x-y)-y'\sec^2(x-y)=\frac{y'(8+x^2)-2xy}{(8+x^2)^2}[/tex]
To find dy/dx, we have to solve for y'. Let's multiply both sides by the denominator on the right. So:
[tex]((8+x^2)^2)\sec^2(x-y)-y'\sec^2(x-y)=\frac{y'(8+x^2)-2xy}{(8+x^2)^2}((8+x^2)^2)[/tex]
The right side cancels. Let's distribute the left:
[tex]\sec^2(x-y)(8+x^2)^2-y'\sec^2(x-y)(8+x^2)^2=y'(8+x^2)-2xy[/tex]
Now, let's move all the y'-terms to one side. Add our second term from our left equation to the right. So:
[tex]\sec^2(x-y)(8+x^2)^2=y'(8+x^2)-2xy+y'\sec^2(x-y)(8+x^2)^2[/tex]
Move -2xy to the left. So:
[tex]\sec^2(x-y)(8+x^2)^2+2xy=y'(8+x^2)+y'\sec^2(x-y)(8+x^2)^2[/tex]
Factor out a y' from the right:
[tex]\sec^2(x-y)(8+x^2)^2+2xy=y'((8+x^2)+\sec^2(x-y)(8+x^2)^2)[/tex]
Divide. Therefore, dy/dx is:
[tex]\frac{dy}{dx}=y'=\frac{\sec^2(x-y)(8+x^2)^2+2xy}{(8+x^2)+\sec^2(x-y)(8+x^2)^2}[/tex]
We can factor out a (8+x²) from the denominator. So:
[tex]\frac{dy}{dx}=y'=\frac{\sec^2(x-y)(8+x^2)^2+2xy}{(8+x^2)(1+\sec^2(x-y)(8+x^2))}[/tex]
And we're done!
Which best describes the relationship between the successive terms in the sequence shown?
2.4, –4.8, 9.6, –19.2
The common difference is –7.2.
The common difference is –2.4.
The common ratio is –2.0.
The common ratio is –0.5.
Answer:
The common ratio is -2.0
Step-by-step explanation:
I did the test and got it right
Write a sentence for equation 4m =52
Answer:
4 multiplied by m equals 52
What is the value of -216x – y when x =-3 and y = 4?
O 44
0-28
O 28
O 44
Answer:
644
Step-by-step explanation:
[tex]-216 * x - y[/tex]
We know that:
x = -3
y = 4
We can find the value of our expression by substituting x and y with the values given above. For example, instead of y, we'll put 4:
[tex]-216*x - y\\-216*(-3) - 4\\[/tex]
Since -216 * -3 is equal to 648:
[tex]648-4[/tex]
[tex]644[/tex]
Answer: 644
What is the net for this rectangular prism?
Answer:
Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism. For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units.
Hope this helps you figure out the answer if not leave a comment and i will tell you
Option B is the correct answer.
What is a net diagram?Net diagram is a 2-dimensional plane figure which can be folded to form a 3-dimensional figure. Or we can say net diagrams are the figures which obtained by unfolding some 3D figures.
In the figure, given rectangular prism.
A rectangular prism is a prism whose bases (the top face and the bottom face) are also rectangles. It has 6 faces in all, out of which there are 3 pairs of identical opposite faces, i.e., all the opposite faces are identical in a rectangular prism. It has three dimensions, length, width, and height.
Therefore, option B is the correct answer.
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What is the slope of the line passing through the point 2, -1 and the origin?
Answer:
m= 1/2
Step-by-step explanation:
Use the slope formula to find the slope m .
You can remember the three numbers to your combination lock, but you can’t remember their order. How many different combinations of the three numbers will you have to try, at most?
Answer:
6
Step-by-step explanation:
1-2-3-x-x
1-3-2-x-x
2-1-3-x-x
2-3-1-x-x
3-1-2-x-x
3-2-1-x-x
PLZZZ HURRRRYYY!!!!!!!
Which of the following symbols could correctly finish the statement? Choose all that apply. |9|___9? ≤ = > < ≥ ≠
Answer:
=
Step-by-step explanation:
The absolute value of 9 is 9.
is 0.70 a rational or irrational?
Answer:
Rational
Step-by-step explanation:
As 0.70 can be represented as 70/100 or 7/10
The branch of government responsible for making laws is called the judicial branch. executive branch. legislative branch.
Answer:
Legislative
Step-by-step explanation:
The legislative branch makes laws. The executive branch enforces the laws. The judicial branch is made up of the courts.
Answer:
Legislative
Step-by-step explanation:
It's their biggest job
I took the test! Good luck :)
24 × 10 × 90 = 90 × 2,400
Answer:
21600
Step-by-step explanation:
24x10x90=
240x90=
21600
What is the approximate average rate of
change for the height of the plant, measured in
centimeters per day, between day 20 and day
40?(leave answer in fraction and decimal)
Answer:
Average change in height of the plant is 0.5 cm per day.
Step-by-step explanation:
Height of the plant on day 20 = 40 cm
Height of the plant on day 40 = 50 cm
Change in height = 50 - 40 = 10 cm
Number of days between day 20 and day 40 = 20
Average change in height of the plant = [tex]\frac{\text{Change in height of the plant}}{\text{Duration}}[/tex]
= [tex]\frac{10}{20}[/tex]
= 0.5 cm per day
Therefore, average change in height of the plant is 0.5 cm per day.
At the beginning of a snowstorm, Evan had 3 inches of snow on his lawn. The snow then began to fall at a constant rate of 3 inches per hour. Assuming no snow was melting, how much snow would Evan have on his lawn 3 hours after the snow began to fall? How much snow would Evan have on his lawn after tt hours of snow falling?
Answer:
3+3tt=total amount of snow
Step-by-step explanation:
y=mx+b is used to show increase
In this case, b is the original 3 inches of snow. m is the constant growth, and x is tt, or the amount of time it is being compared to. y is the total.
The snowfall is at a constant rate of 3 inches per hour, then after 3 hours the snow in the lawn will be 12 inches and after t hours snow in the lawn will be 3 + 3(t).
What is an equation?Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given scenario in the question,
Snow in the lawn = 3 inches
Rate of snow fall = 3 in/hr
So, the snow fall in 3 hours = 3 + 3(3) = 12 inches
And, snow fall after t hours = 3 + 3(t), here t is the number of hours.
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.215215215... as a fraction
Answer:
2/34
Step-by-step explanation:
Use the order of operations to evaluate this expression: 7+(5-9)2 + 3(16-8).
Answer:
23
Step-by-step explanation:
Order of Operations: BPEMDAS
1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction
Left to Right
Step 1: Write expression
7 + (5 - 9)2 + 3(16 - 8)
Step 2: Parenthesis (subtraction)
7 + (-4)2 + 3(8)
Step 3: Parenthesis (multiplication)
7 - 8 + 24
Step 4: Subtract
-1 + 24
Step 5: Add
23
Help PLEASE!!! THIS IS MY LAST!!!!!
Answer:
y- intercept= 1
m= 3
Step-by-step explanation:
m= (y2- y1)/(x2-x1)
m= (4-1)/(1-0)= 3
Solve forx:
3x + 2 = 11
Answer:
x = 3
Step-by-step explanation:
3x + 2 = 11
Subtract 2 from both sides:
3x + 2 - 2 = 11 - 2
3x = 9
Divide both sides by 3:
3x / 3 = 9 / 3
x = 3