9514 1404 393
Answer:
≈ 17.228101 cm
Step-by-step explanation:
The area of a trapezoid is given by the formula ...
A = (1/2)(b1 +b2)h
Filling in the given information, we have ...
99 = (1/2)((x+4) +(x-9))(x -4) = (1/2)(2x -5)(x -4)
198 = 2x^2 -13x +20
2(x -3.25)^2 = 199.125
x = 3.25 +√99.5625 ≈ 13.228101
Then the length of the larger base is ...
x+4 = 17.228101 . . . cm
Solve the system of equations.
2.5y + 3x = 27
5x – 2.5y = 5
What equation is the result of adding the two equations?
What is the solution to the system?
Answer:
8x = 32
x = 4
y = 6
Step-by-step explanation:
2.5y + 3x = 27
5x – 2.5y = 5
_____________
8x = 32 (equation obtained after adding the two equations)
x = 32/8
x = 4
Plug x = 4 in 2.5y + 3x = 27
2.5y + 3*4 = 27
2.5y + 12 = 27
2.5y = 27 - 12
2.y5= 15
y = 15/2.5
y = 6
Results for kiona sells tickets to the school play. The ratio of student tickets to adult tickets sold is 4:3. Kiona sold 280 tickets altogether . How many student tickets did Kiona sell?
Answer:
160
Step-by-step explanation:
It is given that, the ratio of student tickets to adult tickets sold is 4:3. Let students tickets is 4x and adult tickets is 3x.
Total no of tickets = 280
ATQ,
4x+3x=280
7x = 280
x = 40
Students ticket = 4x
= 4(40)
= 160
So, 160 students ticket is sold by Kiona.
Which of the following does NOT have a value of -5?
Group of answer choices
F. 21 + (-26)
G. -15 - (-10)
H. -25 + 20
J. -13 - 18
Answer:
J. -13-18
Step-by-step explanation:
J will give the value -31
NEED ASAP PLEASE!!!!
Answer:
1. they are congruent
2. 180 degrees
which of the following is the best classification of the system given below? y=3/2 x-2 3y=9/2 x -7 A. independent and inconsistent B. independent and consistent C. dependent and inconsistent D. dependent and consistent
Answer:
i think its b
Step-by-step explanation:
i hope its the right Answer
Answer: A
Step-by-step explanation: Because since its a Parallel line, it would be independent and it would be a inconsistent since we have no solutions and since we got no solutions, it would be a inconsistent. Hope it helps and is correct. :D
I WILL GIVE BRAINLIST THING IF YOU DO BOTH
Answer: b
Step-by-step explanation: I took the test
what is 64 ÷ (15 - 7) x2 - 9 using pemdas
Answer:
7
Step-by-step explanation:
Hope this helps. Pls give brainliest.
A BODMAS rule states that inter mathematical expressions should be solved in the order of BODMAS from left to right.
Solving equation by BODMAS rule:An abbreviation Bodmas is used to aid children in remembering the order of operations when performing mathematics. The various activities we can perform with integers in math are called "operations". "Brackets, Order, Division, Multiplication, Addition, Order of operations" is the abbreviation for "Brackets, Order, Division, Multiplication, Addition, Subtraction".[tex]\to 64 \div (15 - 7) \times 2 - 9 \\\\\to \frac{64}{ (15 - 7)} \times 2 - 9\\\\\to \frac{64}{8} \times -7\\\\\to 8-7\\\\\to 1[/tex]
Therefore, the final answer is "1".
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ALEKS math plz help. Ill give brainliest.
45% of 200
35% of 150
10% of 20
30% of 15
52.5
>
4.5
>
2
>
110
20% of 50
Reset
Next
reserved
What is the change in the y-values and x-values on the graph?The change in the y-values is 40 and the change in the x-values is 1.
Answer:
If you are asking for the slope
Step-by-step explanation:
m = 40
Given the diagram classify the bolded line as a perpendicular bisect or angle bisect or median or altitude write your answer on the line
Answer:
altitude
Step-by-step explanation:
It cant be a perpendicular bisector because its not splitting the triangle into equal lengths.
Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2chocolates left. Write an equation showing how many friends were at the party.
Help idk what to do and I’m dumb
Answer:
.5 = 5/9, .583 = 7/12, .3 = 1/3, and .36 =4/11
Step-by-step explanation:
Just divide the numerator by the denominator (4/9 = 4 divided by 9) and you will get the repeating decimal.
Please mark brainliest:)
Answer:
0.5. 5/9
0.583. 7/12
0.3. 1/3
0.36 4/11
Help please! Many thanks
Answer:
v = 3
Step-by-step explanation:
Clare was solving an equation, but when she checked her answer she saw her solution was incorrect. She knows she made a mistake, but she can’t find it. Where is Clare's mistake?
Answer:
The Second Step.
Step-by-step explanation:
We are given the original equation:
[tex]12(5+2y)=4y-(5-9y)[/tex]
In her first step, Clare distributed both sides:
[tex]72+24y=4y-5-9y[/tex]
There are two errors:
First, the product of 5 and 12 is 60 and not 72.
Second, on the right-hand side of the equation, the negative must be distributed to all terms. Hence, the correct result should be:
[tex]\displaystyle 60 + 24y = 4y - 5 + 9y[/tex]
Instead of what she had obtained.
Write a function in any form that would match the graph shown below.
Answer:
e4rf
Step-by-step explanation:
If f(x)=x^2+3x-5, find f(3)
Answer:
14
Step-by-step explanation:
f(x)=x^2+3x-5
f(3)=(3)^2+3(3)-5
f(3)=9+9-5
f(3)=14
Answer
F(3)=13
Step-by-step explanation:
Plot the image of Point Q under the translation (x,y) (x-3, y + 4)
Answer:
(0, 3)
Step-by-step explanation:
Subtract 3 units from the X-coordinate
Add 4 units from the Y-coordinate
Hi Please help I have no idea what the answer is
Answer: 80
Step-by-step explanation:
100+80 =180
Answer:
The answer is 80° :)
Hope it helps you
Which expression is equivalent to 9 x squared minus 2 y + 3 x squared minus 3 y?
6 x squared minus y + 6 x squared minus 5 y
6 x squared minus y + 3 x squared minus 4 y
10 x squared minus 4 y + 2 x squared minus y
11 x squared + 2 y + x squared minus 3 y
Ans1wer: 10x^2
Step-by-step explanation:
10x^2+2x^2=12x^2 and -4y-y=-6y
QUESTION 3 of 10: You sample a 2 square mile neighborhood and find 20 people in your target demographic. If your trade area has a radius
of 10 miles and the population across the area is similar to your sample neighborhood, how many people in your target demographic live in
your trade area?
a) 1,000
b) 1,760
Oc) 3,140
d) None of the Above
Answer:3,140
Step-by-step explanation:
simultaneous equations
x^2+3xy=10
x=2y
9514 1404 393
Answer:
(x, y) = (-2, -1) or (2, 1)
Step-by-step explanation:
Substitute for x in the first equation:
(2y)^2 +3(2y)y = 10
10y^2 = 10
y^2 = 1
y = ±1
x = 2y = ±2
Solutions are (x, y) = (-2, -1) or (2, 1).
How many dots are the next pattern?
. .. ... ....
. .. ...
. ..
.
that's the point, help me solve it.
i think it might be
. .. ... ....
or
. ..
Please help!!!
Complete the following proof
Given: DE || BC
Angle 1 = angle 2
Prove: AB = AC
Answer:
Step-by-step explanation:
statement-reason
DE=BC - given
Angle 1= Angle 2 - given
Angle 2= Angle 3 - corresponding angles
Angle 1= Angle 4 - corresponding angles
Triangle ADE is congruent to Triangle ABC by AAS
therefore AB= AC
Q.E.D.
A painter needs to obtain a particular shade of green paint by mixing yellow paint with blue paint in the ratio 3:5. If he buys 45 litres of yellow paint, how many litres of blue are required?
Answer:
75 litres of Blue
Step-by-step explanation:
Divide the amount of yellow liters by 3, you'll get 15. To get the amount of blue needed, you multiply 5 by 15.
Graph.
f(x)=2|x+2|+1
Use the Ray tool to graph the absolute value function.
We can use the Ray tool to graph the absolute value function f(x) = 2|x+2| + 1, which helps us visualize the function by plotting specific points on the coordinate plane.
1. Begin by understanding the structure of the absolute value function f(x) = |x|. The absolute value function takes any input x and returns the positive value of x, making it symmetric concerning the y-axis.
2. In the given function f(x) = 2|x+2| + 1, the "2" in front of the absolute value affects the vertical scale, while the "+2" inside the absolute value causes a horizontal shift of 2 units to the left.
3. Start plotting points on the coordinate plane. To determine the behavior of the graph, consider a few x-values.
- When x = -4, we have f(-4) = 2|-4+2| + 1 = 2| -2| + 1 = 2(2) + 1 = 4 + 1 = 5. So, we have the point (-4, 5).
- When x = -2, we have f(-2) = 2|-2+2| + 1 = 2| 0| + 1 = 2(0) + 1 = 1. So, we have the point (-2, 1).
- When x = -1, we have f(-1) = 2|-1+2| + 1 = 2| 1| + 1 = 2(1) + 1 = 3. So, we have the point (-1, 3).
- When x = 0, we have f(0) = 2|0+2| + 1 = 2| 2| + 1 = 2(2) + 1 = 5. So, we have the point (0, 5).
- Continue this process for other values of x to obtain more points.
4. Plot all the points on the graph and connect them smoothly. Remember to maintain symmetry concerning the y-axis due to the absolute value function.
5. The resulting graph will have a "V" shape, with the vertex at the point (-2, 1). The line will extend upward on both sides, following a steep slope with a vertical stretch of 2.
6. Label the axes and any other relevant points to complete the graph.
By following these steps and utilizing the Ray tool, you can accurately graph the given absolute value function f(x) = 2|x+2| + 1.
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A 16 ounce bag of cereal cost $2.88 what is the cost per ounce
Answer:
the answer is 0.18 because you just dived the 2.88 by 16 and you get your answer
Step-by-step explanation:
If m ∥ n and the slope of line m is 3, what is the slope of line n? A. 13 B. –13 C. –3 D. 3
Answer:
3
Step-by-step explanation:
When 2 lines are parallel, they have the same slope. Since m║n, the slope of m will be equal to the slope of n.
The required slope of line n which is parallel to line m is 3. Option D is correct.
Given that,
If m ∥ n and the slope of line m is 3, what is the slope of line n is to be determined.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The property of line state that, when lines are parallel to each the than the angle of inclination or slope of all the parallel lines are equal.
So, in given condition Line m is parallel to line n implies the slope of line m and n are equal.
Thus, the required slope of line n which is parallel to line m is 3.
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what does 30% mean in terms of money
Answer:
Explanation below.
Step-by-step explanation:
Let's say for example you have 100 dollar or euros, or whatever you work with in your country. 30% of 100 equals 30.
If they ask you for example 30% of 250 dollar/euro, it is 250/100 * 30, which equals 75.
If they say there are sales that go up to 30%, all you do is as follows;
1) You calculate how much money 30% is. [Look above]
2) You distract the 30% FROM the original price.
Example; A shirt costs 300 dollar/euro, but there's a sale of 30% on it.
30% of 300 = 100
300-100 = 200
The shirt costs 200 dollar/euro.
The Douglas family visits SeaLand and is charged $72.00 for 2 adult and 3 child tickets. The Williams family also visited SeaLand and was charged $78.00 for 1 adult and 5 child tickets. How much would it cost the Lopez family to go to SeaLand if they have 3 adults and 4 children?
Answer:
It would cost the Lopez family $102.00 to go to Sealand
Step-by-step explanation:
Assume that the cost of each adult ticket is $x and the cost of each child ticket is $y
∵ The adult's ticket costs $x
∵ The child's ticket costs $y
∵ The Douglas family is charged $72.00 for 2 adult and 3 child tickets
∴ 2x + 3y = 72 ⇒ (1)
∵ The Williams family was charged $78.00 for 1 adult and 5 child tickets
∴ x + 5y = 78 ⇒ (2)
Let us solve the system of equations to find x and y
→ Multiply equation (2) by -2 to make the coefficients of x equal in
values and different in signs
∵ -2(x) + -2(5y) = -2(78)
∴ -2x + -10y = -156 ⇒ (3)
→ Add equations (1) and (3) to eliminate x
∵ (2x + -2x) + (3y + -10y) = (72 + -156)
∴ -7y = -84
→ Divide both sides by -7 to find y
∴ y = 12
→ Substitute the value of y in equation (1) or (2) to find x
∵ x + 5(12) = 78
∴ x + 60 = 78
→ Subtract 60 from both sides
∴ x + 60 - 60 = 78 - 60
∴ x = 18
∴ The cost of each adult ticket is $18 and the cost of each child ticket
is $12
∵ Lopez family has 3 adults and 4 children
∴ The cost of the tickets = 3(18) + 4(12) = 54 + 48
∴ The cost of the tickets = 3(18) + 4(12) = 102
∴ It would cost the Lopez family $102.00 to go to Sealand