Answer:
x=14, y=37
Step-by-step explanation:
We know that (4y-10)° and 3x° are supplementary angles, meaning the total sum of the angles add up to 180°. (4y-10)° is also corresponding to the blank angle below (9x+12)°, making it a vertical angle. Since (4y-10)°=(9x+12)° because they are vertical angles, then that means we can solve for x:
Original Equation: (4y-10)°+3x°=180
New Equation: (9x+12)°+3x°=180
9x+12+3x=180
12x+12=180
12x=168
x=14
So x is 14
Because x=14, then y is:
4y-10+3(14)=180
4y-10+42=180
4y+32=180
4y=148
y=37
So y is 37
You buy a winter jacket on sale for 40% off. You pay $54 for the jacket. What was the original cost? Show your work.
Answer:
original cost is 135$
Step-by-step explanation:
100%×54$÷40%= 135
The carter family budgets a total of 2,700 for a ski vacation in Colorado if they plan to go spend 275$ per day and 1,000 on meals about how many days n can the carter family go on vacation ?
Answer:
275n + 1000 = 2700
They will go 6 days on vacation.
Step-by-step explanation:
Given that the Carter family wants to go on vacation with a budget of $ 2700, of which $ 1000 will be used exclusively for food, and for each day of stay $ 275 will be spent, the formula to obtain the number of days they can spend on vacation is following:
1000 + 275n = 2700
275n = 2700 - 1000
n = 1700/275
n = 6.18
Therefore, with this amount, the Carters will be able to spend 6 days on vacation, and they will have money left over.
Who is good at math?
Answer:
me depending on what kind of math it is
Step-by-step explanation:
Solve the system using substitution.
3x - 4y = 11
y + 3x = 1
Answer:
x= 1
y= -2
Step-by-step explanation:
1. y+3x=1 subtract 3x from both side to get y= 1-3x
2. Put the new found y value in the equation
3x-4(1-3x)=11
3. Distribute the 4
3x-4+12x=11
4. Add 4 to both sides
3x+12x=15
5. Add the x's
15x=15
6. Solve for x
x=1
7. Plug in the x in the y equation y= 1-3x
y=1-3(1)
8. Solve for y
y= -2
The solution to the system of equations is x = 1 and y = -2.
To solve the system of equations using substitution, we need to solve one of the equations for one variable in terms of the other variable and then substitute that expression into the other equation. Let's solve the second equation for y and then substitute it into the first equation:
Given system of equations:
3x - 4y = 11
y + 3x = 1
Step 1: Solve the second equation for y:
y = 1 - 3x
Step 2: Substitute the value of y from equation (2) into equation (1):
3x - 4(1 - 3x) = 11
Now, let's solve for x:
3x - 4 + 12x = 11
Combine like terms:
15x - 4 = 11
Step 3: Solve for x:
15x = 11 + 4
15x = 15
x = 15 / 15
x = 1
Step 4: Now that we have the value of x, we can find y using equation (2):
y = 1 - 3(1)
y = 1 - 3
y = -2
So, the solution to the system of equations is x = 1 and y = -2.
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i finished the other question but i need help with this one!!!! I will give brainleist
Answer:
1.22 meters aprx.
Step-by-step explanation:
This is talking about meters right. If it is 1.22 would be your answer.
answers
|x-3|
-|x+3|
-|x-3|
|x|+3
Answer:
B) -|x+3|
Step-by-step explanation:
Use the equation y=a|x-h|+k
a=-1 since the graph opens downwards with no stretch or shrink
h=-3 since the horizontal shift is 3 units right
k=0 since there's no vertical shift
Therefore, our equation is y=-|x+3| making B the correct answer
please help me asap and
Answer:
you have it right! 3x - 4= 23
Answer: 3x-4 = 23
Step-by-step explanation:
Cos ik
PLZ HELP, WILL GIVE BRAINLIEST!!!
Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets.
What is the price each of one senior citizen ticket and one child ticket?
Answer: $4 senior, $7 child
Step-by-step explanation:
(3s + 9c = 75)
8s + 5c = 67
20 Points!!! Lisa writes 15 pages of a research paper. If she has written 75% of her goal, what is the total number of pages that she wants to write?
Answer:
I believe that her goal is 20 pages because 75% of 20 is 15.
Step-by-step explanation:
The radius of the sphere is 9 inches. Which equation can be used to find the surface area of the sphere?
Answer:
Option (2)
Step-by-step explanation:
Formula to get the surface area of a sphere is,
Surface area = 4πr²
Here 'r' = Radius of the sphere
We have to calculate the surface area of a sphere with radius r = 9 inches.
By substituting the value of r in the formula,
S = 4π(9)²
Therefore, Option (2) will be the correct option.
Answer:
B. S = 4 pi r squared = 4 pi (9) squared
A line is drawn so that it passes through the points (-5,-3) and (-7,-5). What is the slope of the line?
Answer:
1
Step-by-step explanation:
The required slope of the line is 1 which passes through the points (-5, -3) and (-7, -5).
What is the slope of the line?The slope of a line is defined as the change in the y-coordinate (the "rise") divided by the change in the x-coordinate (the "run").
To determine the slope of the line that passes through the points (-5, -3) and (-7, -5), we can use the formula:
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Let
x₁ = -5, y₁ = -3
x₂ = -7, y₂ = -5
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Plugging in the coordinates of the two points, we get:
slope = (-5 - (-3)) / (-7 - (-5))
Simplifying this expression gives us:
slope = -2 / -2
Which simplifies to:
slope = 1
Therefore, the slope of the line that passes through the points (-5, -3) and (-7, -5) is 1.
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distance from -3 to 0
Another name for plane X is plane ?
Need help first to answer gets brainliest
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
lowest x is -1 ant farthest is 4.
a square has an area of 49 square meters
Answer:
7x7
Step-by-step explanation:
its base (length) and width is 7.
sjfudshfuhfuhdufhshfsudhfusdfl
Answer:
I love cookies too.
The definition of similarity in terms of similarity transformations states that two figures are
similar if and only if there is a compositon of rigid motion and dilation that maps one figure to
the other. Suppose triangle ABC~triangle DEF. Explain how this definiton ensures:
1. The equality of all corresponding pairs of angles.
2. The proportionality of all corresponding pairs of sides.
PLEASE HELP
which value completes the table?
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Plug in -3 to t^2-3
-3^2-3
9-3
6
A is the only answer that has 6. So your answer would be A
Kyle uses a school gym to run a weekly yoga class. He must pay the school a fee for the use of the gym. Each person who comes pays x dollars. The amount of profit Kyle makes can be represented by the expression:
nx−d
What does the term nx represent?
A
the fee for the use of the school gym
B
the number of people in the yoga class
C
the cost of the yoga class for each person attending the class
D
the total money Kyle collects from people attending the class
Answer:
I believe it is D
Step-by-step explanation:
The entire equation y=nx-d means that d is the fee Kyle pays the school. SO that means that nx is the amount of money he earns from the people attending a yoga class.
Term nx represents the total money Kyle collects from people attending the class.
What is linear equation in one variable?
" Linear equation in one variable represents straight line and it is a equation in one variable in which degree of the given variable is equals to one. General form is written as ax + b =0."
According to the question,
x represents fees paid by each person for yoga class.
Condition is Kyle has to pay a fee for the use of gym.
It mean gym fees would be deducted from her earned fees from yoga class.
Therefore , d represents gym fee.
n represents number of people comes for yoga class.
From the given condition it is a linear equation in one variable,
Therefore, nx represents amount Kyle collects from people attending the class.
Hence, Option (D) is the correct answer.
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HELP PLZ WILL GIVE BRAINLYEST
Answer:
Light blue
Step-by-step explanation:
Answer:
x ≥ -5
Step-by-step explanation:
Let tk be the number of ways to choose k beads from a drawer that contains 10 red beads, 8 blue beads, and 11 green beads. Find the generating function for the sequence {tk} 29 k = 0. Do not find a formula for tk.
Answer:
[tex]\mathbf{G(x) = (1 + x)^{29}}[/tex]
Step-by-step explanation:
From the given information;
The total number of beads = 10 + 8 + 11 = 29
To choose k beads out 29 beads, let assume that [tex]t_k[/tex] be the no. such that:
[tex]t_k = ( ^{29}_{k}) \ \ \ where; k =0,1,2,3,....,29[/tex]
∴
The sequence [tex]\{ t_k\}^{29}_{k=0} = (^{29}_{k})[/tex]
The generating function for [tex]\{ a_k \}^n_{k=0}[/tex] is:
[tex]G(x) = a_o +a_1x +a_2x^2 +...+a_nx^n[/tex]
[tex]G(x) = \sum \limits ^{n}_{k=0} \ a_k x^k[/tex]
For the sequence above;
[tex]G(x) = \sum \limits ^{29}_{k =0 } (^{29}_{k}) x^k[/tex]
By applying binomial series [tex](1+x)^n = \sum \limits ^n_{k=0} ( ^n_k) x^k[/tex]
Thus:
[tex]\mathbf{G(x) = (1 + x)^{29}}[/tex]
The average attendance at a local high school's football games went down from 1800 people in 2003 to
500 people in 2004. What was the percent decrease in attendance at the football games?
Step-by-step explanation:
%decrease = 1800 - 500 * 100
__________
1800
%decrease = 1300/1800 * 100
% decrease = 72.2%
Average attendance in 2003 = 1800
Average attendance in 2004 = 500
Decrease in attendance = 1800 - 500 = 1300
Decrease percentage in attendance
[tex] = \frac{1300}{1800} \times 100[/tex]
[tex] = \frac{13}{18} \times 100[/tex]
[tex] = \frac{13}{9} \times 50[/tex]
=72.22
Uranus is 19.2 AU. How many miles apart is Uranus from the Sun?
Answer:
Uranus distance from the sun is 1.79 billion miles.
Hope it helps :)
Step-by-step explanation:
can someone please help :/? the question is in the picture
Answer:
I'm pretty sure the answer is B
HELP HELP MEEEEE HELPPPPPPPPPPPPPPPPPPP
Answer:
Add your brain then get smart
Whats the value? 2x+2 + 2x+10 =90
Answer:
x=19.5 or 19 1/2
Step-by-step explanation:
To find what x is we need to get x on one side of the equal sign with the numbers on the other side, but first, we need to add the same variables and numbers together.
Add:
4x+12=90
Move the 12 to the other side by subtracting 12 on both sides (You use the inverse of what you want to move to the other side)
4x+12-12=90-12
4x=78
Divide:
You need to divide 4x by 4 (Since 4x is the same thing as 4*x you need the inverse of multiplication to reverse it which is division)
x=19.5 or 19 1/2 (Since 1/2 is the same thing as 0.5)
Write an equation that represents the line
Answer:
y = -2x - 3
Step-by-step explanation:
First, find slope (m) of the line using two points (0, -3) and (1, -5):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-3)}{1 - 0} = \frac{-2}{1} = -2 [/tex]
The line intercepts the y-axis at y = -3. Therefore the y-intercept (b) of the line = -3.
To write the equation that represents the line, substitute m = -2, and b = -3 into y = mx + b.
Thus:
y = -2x + (-3)
y = -2x - 3
On a family road trip, Mr. Peters travels 130 miles in 2 hours. At this rate, how many miles will he travel in 30 minutes? (HINT - turn 30 minutes into 1/2 an hour or a decimal 0.5 hours)
Answer:
15 miles in 30 minutes
Step-by-step explanation:
130/2=65 miles per hour
30/2=15
Solve x^2 + 6x + 15 = 0 using the Quadratic Formula
Elvira makes money to buy decorations for the cafeteria by selling little bags of chips in the snack bar. If each bag costs $0.35 and she can sell the bag for $0.90, how many bags must she sell to earn at least $200.
Answer:
Step-by-step explanation:
.90-.35=.55
200/.55=364 bags i think
Elvira sells a total of 364 bags to earn a profit of $200 and this can be determined by using the unitary methods.
Given :
Elvira makes money to buy decorations for the cafeteria by selling little bags of chips in the snack bar. If each bag costs $0.35 and she can sell the bag for $0.90.Total profit earn = $200The following steps can be used to determine the total number of bags she sells to earn the profit of $200:
Step 1 - First find the total profit she earns to sell one bag.
= 0.90 - 0.35
= $0.55
Step 2 - Now, using the unitary method find the total number of bags she sells to earn a profit of $200 If she earns a profit of $0.55 to sell one bag.
[tex]=\dfrac{200}{0.55}[/tex]
= 363.63 [tex]\approx[/tex] 364 bags
She sells a total of 364 bags to earn a profit of $200.
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