adding and subtracting fractions with unlike denominators
**Aleta deposited $450 into a savings account earning 3.75% simple interest. How much interest will she earn in 6 years? Explain.
The floor plan of a home is dilated by a factor of 8 to create a new, larger floor plan. The area of the new floor plan is (8, 16, 32, 64, 256) times larger than the area of the original floor plan?
The area of the larger square is 16 times larger than the area of the smaller square.
Explanation:The area of the larger square is 16 times larger than the area of the smaller square.
To find the area of a square, you square the length of one side.
For example, if the smaller square has a side length of 4 inches, the area is 4 * 4 = 16 square inches. The larger square, with side length 8 inches, has an area of 8 * 8 = 64 square inches. Therefore, the area of the larger square is 64 / 16 = 4 times larger than the area of the smaller square.
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Solve the equation on the interval [0,2pi) 4sin^2x-3=0
The equation 4sin^2x-3=0 has a solution of x=π/3,2π/3,4π/3,5π/3.
What is equation?An equation is basically a relationship between two variables in equal to form. In an equation each variable must have a solution or value.
How to solve an equation?The equation given as 4sin²x-3=0
We have to first find the value of x in the equation itself which is 4sin²x=3
sin²x=3/4
sinx=√3/2 or -√3/2
x=π/3, 2π/3, 4π/3, or 5π/3.
Hence the solution for the equation 4[tex]sin^{2}x-3[/tex]=0 is x=π/3,2π/3,4π/3,5π/3.
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Your brother is 13 your age. Your sister is 6 years older than your brother. Your sister is 10 years old. Write and solve an equation to find your age a.
By setting up equations using the information about your siblings' ages, we find out that you are 12 years old.
To find your age, we can set up an equation based on the information given:
Your sister is 10 years old.
Your brother is 13 your age, meaning 1/3 of your age.
Your sister is 6 years older than your brother. Therefore, if your brother's age is b, your sister's age is b + 6.
Since your sister is 10, this allows us to write the equation for your brother's age as:
b + 6 = 10
Solving for b, we get:
b = 10 - 6 => 4
Now we know your brother is 4 years old, and since he is 13 your age, we can write another equation:
a ÷3 = 4
Multiplying both sides by 3 to solve for a:
a = 4 × 3 => 12
You are 12 years old.
Round 3,989.23655 to the nearest tenth
Assume the method dosomething has been defined as follows: public static void dosomething (int[] values, int p1, int p2) { int temp = values[p1]; values[p1] = values[p2]; values[p2] = temp; } what does the method do?3
If a couple plans to have 9 children, what is the probability that there will be at least one girl? assume boys and girls are equally likely. is that probability high enough for the couple to be very confident that they will get at least one girl in 9 children?
Mr kenrick made three deposits to his account to his bank account in this order 460,185, and 240 show how to use a commutative property to find the sum of the deposits mentally
What are the values of a and b?
The coordinates of the vertices of parallelogram ABCD are A(-3,2) , B (-2,-1) , C ( 4,1) and D ( 3,4). The slopes of which line segments could be calculated to show that ABCD is a rectangle?
1) AB and DC
2) Ab and BC
3) AD and BC
4) AC and BD
When you say what answer you chose can you explain why that’s the answer please in depth?
a company is shipping a motorcycle in a box with the dimensions of 4 2/3 feet by 3 3/4 feet by 8 ft the box also has packing material to help protect the motorcycle. what is the volume, in cubic feet, of the box?
What angle does this piece of pie form?
Part A: The area of a square is (25x2 − 10x + 1) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points) Part B: The area of a rectangle is (81x2 − 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
A red balloon starts at 7.3 meters off the ground and rises at 2.6 meters per second. A blue balloon starts at 12.4 meters off the ground and rises at 1.5 meters per second. Write and solve an equation to determine when the balloons are at the same height.
Final answer:
To find when two balloons are at the same height, set up two equations equal to each other with the starting heights and rates of ascent, and solve for the time. The two balloons will be at the same height approximately 4.636 seconds after they start rising.
Explanation:
To determine when two balloons will be at the same height, we can set up an equation based on their starting heights and their rates of ascent. We have a red balloon that starts at 7.3 meters off the ground and rises at 2.6 meters per second, and a blue balloon that starts at 12.4 meters off the ground and rises at 1.5 meters per second.
Let's let t represent the time in seconds after the balloons begin to ascend. The height of the red balloon at any time t can be expressed as:
Height_red = 7.3 + 2.6t
Similarly, the height of the blue balloon at any time t is:
Height_blue = 12.4 + 1.5t
To find out when the balloons are at the same height, we set the two equations equal to each other:
7.3 + 2.6t = 12.4 + 1.5t
Now, we solve for t by subtracting 1.5t from both sides:
2.6t - 1.5t = 12.4 - 7.3
1.1t = 5.1
Next, we divide both sides by 1.1 to isolate t:
t = 5.1 / 1.1
t ≈ 4.636 seconds
Thus, the balloons will be at the same height approximately 4.636 seconds after they begin to ascend.
rhombus and a square have one and the same side of 6 cm. The area of the rhombus is 4/5 of the area of the square. Find the height of the rhombus.
Answer:
4.8 cm
Step-by-step explanation:
The balcony of an apartment is 4 feet by 7 feet. On a scale drawing of the apartment, the balcony is 0.8 inch by 1.4 inches, and the kitchen is 2.4 inches by 2.8 inches. What are the actual dimensions of the kitchen? Enter your answers in the boxes. The actual dimensions of the kitchen are feet by feet.
Answer:
12 by 14
Step-by-step explanation:
took quiz
substitution method for 7x-2y=1 & x-2y=1
The transport layer handles the transmission error by requesting the damaged segments to be retransmitted. if the probability of a segment being damaged is p, what is the mean number of the transmissions required to send a segment? you can assume the acknowledgements are never lost for solving this question.
Final answer:
The mean number of transmissions required to send a segment successfully, given a damage probability of p, is calculated as 1/(1-p). This is derived from the geometrical distribution, representing the expected number of trials until the first success.
Explanation:
The question asks for the mean number of transmissions required to successfully send a segment given that the probability of a segment being damaged is p, and assuming acknowledgements are never lost. To solve this, we consider each transmission attempt as an independent trial with only two outcomes: success (with probability 1-p) or failure (with p). The problem thus resembles a geometrical distribution where the expected value (mean number of trials to get the first success) can be calculated as 1/(1-p). Therefore, if the probability of a segment being damaged is p, the mean number of transmissions required to send a segment successfully is 1/(1-p).
For example, if the probability of damage is 0.1 (p=0.1), then the mean number of transmissions would be 1/(1-0.1) = 1.1111, rounding up since you can't have a fraction of a transmission in reality.
HELP!!! 100 POINTS+ BRAINLIEST for correct answer
Mary leaves her house to take a walk. The graph shows the distance, d, in feet from her house that Mary is at any given time, t, in minutes. How many minutes has Mary walked when she reaches the farthest point from her house?
Here's the picture of the graph that goes with this question.
Solve for Y
Y + 1.48 = 6.71
Sam has bought a camera for $200 when it was on 20% off sale. What was the original price of the camera
Answer250
Step-by-step explanation:
(64+28+76)÷6 show how you can calculate the number of 3/4 cup servings
How to do this because I do not understand how to do it
Answer:
24.52%
Step-by-step explanation:
A store is having a sale where all jeans are 1/4 off the regular price.Find the constant of proportionality, then write an equation relating to the sale price to the regular price.
(05.02)Find the measure of angle x in the figure below:
Two triangles are shown such that one triangle is inverted and they share a common vertex. The lower triangle has two angles at the base. The lower left angle is marked as 55 degrees. The lower right angle is marked as 30 degrees. The angle at the vertex of the inverted triangle at the top is marked as x degrees.
Answer:
x=95°Step-by-step explanation:
We are given that: Two triangles are such that one triangle is inverted and they share a common vertex. The lower triangle has two angles at the base. The lower left angle is marked as 55 degrees. The lower right angle is marked as 30 degrees. The angle at the vertex of the inverted triangle at the top is marked as x degrees.
The figure of such a triangle is attached to the answer.
As we know that sum of all the angles of a triangle is equal to 180°.
⇒ 55°+30°+x=180°
⇒ 85°+x=180°
⇒ x=180°-85°
⇒ x=95°
Hence, the angle at the vertex is 95°.
The measure of angle x in the inverted triangle formed by two triangles sharing a common vertex is 95 degrees .
Two triangles sharing a common vertex. The angles given are as follows:
Measure of the lower left angle of the lower triangle = 55 degrees.
Measure of the lower right angle of the lower triangle = 30 degrees.
The angle at the vertex of the inverted triangle (at the top) can be found by subtracting the sum of the angles in the lower triangle from 180 degrees .
Since the sum of angles in a triangle is always 180 degrees.
Sum of angles in the lower triangle
= 55 degrees + 30 degrees
= 85 degrees.
Now, subtract the sum of angles in the lower triangle from 180 degrees to find the angle at the vertex of the inverted triangle (x degrees):
x degrees = 180 degrees - 85 degrees
= 95 degrees.
Therefore, the measure of angle x is 95 degrees.
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robert leaves his home to go to his office .he drives 6 km north and then 4km due east.approximatley what is the shortest distance from roberts home to his office,in kilometers
Use the Law of Sines to find the missing angle of the triangle. Find m<b to the nearest tenth.
A) 110.0 degrees
B) 153.9 degrees
C) 26.1 degrees
D) 70.0 degrees
Answer: D) 70.0
Step-by-step explanation: :)
write a real world example that could be solved by using the inequality 4x+8≥32.then solve the inequality
A real-world situation for the inequality 4x + 8 ≥ 32 could involve calculating the minimum hours required at a part-time job to earn $32. Subtracting 8 and dividing by 4, we find that at least 6 hours of work are needed.
Explanation:A real-world example that could be solved by using the inequality 4x + 8 ≥ 32 might involve a situation where you need to determine how many hours you must work at a part-time job to earn at least a certain amount of money. Suppose you earn $4 per hour and you have already earned $8. You want to know the minimum number of hours you must work to have at least $32 in total.
To solve the inequality 4x + 8 ≥ 32, you would first subtract 8 from both sides, which gives you 4x ≥ 24. Then, you would divide both sides by 4 to find the number of hours (x) you need to work. Therefore, x ≥ 6. This means you must work at least 6 hours to earn $32 or more.
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Gas costs $1.64 a gallon. Elaine spent $23.78 at the gas station.How many gallons of gas did she but?
Answer:
23.78
Step-by-step explanation: