Answer:
\(36 + 3x + 48 = 180 \\ 3x + 84 = 180 \\ 3x = 96 \\ x = 32\)
Define same side interior
Answer:
two angles that are on the same side of the transversal and on the interior of (between) the two lines.
Step-by-step explanation:
Suppose a ball is drawn at random from a box containing three white and three black balls. After a ball is drawn, it is then replaced and another drawn. What is the probability that of the ürst four balls drawn, exactly two are white?
When an object is weighed on a scale, the number displayed may vary from the object’s actual weight by at most 0.4 pounds. The scale says the object weighs 125.8 pounds. Part A: Write an absolute value inequality that describes the range of the actual weight of the object. Use the variable w to represent the actual weight of the object. Part B: Solve the absolute value inequality for w. Express your answer as a compound inequality.
The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.
Part A: The absolute value inequality that describes the range of the actual weight of the object is:
|w - 125.8| ≤ 0.4
Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:
w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4
Solving the first inequality:
w - 125.8 ≤ 0.4
Add 125.8 to both sides:
w ≤ 126.2
Solving the second inequality:
-(w - 125.8) ≤ 0.4
Multiply by -1 and distribute the negative sign:
-w + 125.8 ≤ 0.4
Subtract 125.8 from both sides:
-w ≤ -125.4
Divide by -1 (note that the inequality direction flips):
w ≥ 125.4
Combining the solutions, we have:
125.4 ≤ w ≤ 126.2
The object is 125.4 ≤ w ≤ 126.2.
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can you please help me with this question
Answer:
\(3\frac{4}{7} *(-6\frac{4}{7}), -7\frac{1}{7} *(-2\frac{1}{4}), 5\frac{1}{7} *5\frac{1}{7}\)
Step-by-step explanation:
Answer: (For the first One)
1 1
5 ---- . 5 -----
7 7
36 36 1296 22 5
----- . ------- = ----------- = 26 ---------- = 2 ----------
7 7 49 49 49
Step-by-step explanation:
First you want to change you mixed numbers into improper fractions. Once done so, cross multiply if possible. Then, multiply across. Last, simplify.
I’m stuck I need you to do it
Answer: The length of the prism is 8 yards
Step-by-step explanation:
First, take the volume of the prism, divide it by the width (2 1/2). Once you get that divide that answer by height (5 3/4) getting you the length of the prism (8 yards)
Help me please you’ll earn points
The attached diagram represents the required line plot
How to plot the line plot?From the table, we have the following frequency table:
Minutes spent Frequency
25 1
25 1/2 2
26 1
27 1/2 1
27 3/4 1
28 1/4 1
28 1/2 2
29 1
Total 10
Using the above frequency table, we can now plot the line plot
See attachment for the line plot
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Yousef is saving money to buy a new bike. He will save $8 per week. How much will he save in 6 weeks?
To purchase $14,500 worth of restaurant equipment for her business, Debra made a down payment of $1300 and took out a business loan for the rest. After 2 years of paying monthly payments of $585.04, she finally paid off the loan.
(a) What was the total amount Debra ended up paying for the equipment (including the down payment and monthly payments)?
(b) How much interest did Debra pay on the loan?
The total amount Debra ended up paying for the equipment was $28,541.60 and the amount of interest Debra paid on the loan was $14,041.60
(a) To find the total amount Debra ended up paying for the equipment (including the down payment and monthly payments), we need to add the down payment to the total amount of the loan, and then add the total amount of the monthly payments made over the two years.
Total amount of the loan = $14,500 - $1,300 (down payment) = $13,200
Total amount paid = Down payment + Total amount of the loan + Total amount of monthly payments
Total amount paid = $1,300 + $13,200 + ($585.04 x 24) [since there are 24 monthly payments in 2 years]
Total amount paid = $1,300 + $13,200 + $14,041.60
Total amount paid = $28,541.60
Therefore, the total amount Debra ended up paying for the equipment (including the down payment and monthly payments) was $28,541.60.
(b) To find the amount of interest paid on the loan, we need to subtract the total amount borrowed from the total amount paid, and then subtract the down payment. This will give us the total amount of interest paid over the two years.
Total interest paid = Total amount paid - Total amount borrowed - Down payment
Total interest paid = $28,541.60 - $13,200 - $1,300
Total interest paid = $14,041.60
Therefore, the amount of interest Debra paid on the loan was $14,041.60.
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plzzzzzz help me thank you :))
Answer:
1 and 1/4
Step-by-step explanation:
2. The east-west streets and north-south avenues of a certain city are numbered consecutively from south to north and west to east. All blocks are squares with the same side lengths. Mandy is standing on the corner of 59th Street and 15th
Avenue. Mark is standing on the comer of 35th Street and 21st Avenue. Mark calls Mandy and asks her to meet him at a spot halfway between their current
locations
a. Use the Midpoint Formula to find out where Mark wants to meet. Show your work
Answer:
They were to meet at 47th street and 18th avenue.
Step-by-step explanation:
Mid-point = (sum of two numbers) / 2
(= average formula)
Street: (59+35) / 2 = 47
Avenue: (21+15) / 2 = 18
Therefore they were to meet at 47th street and 18th avenue.
what graph shows the solution to the system of linear inequalities? y>2/3x+3 y<_-1/3x+2
Answer:
I believe that the orange shaded part is the answer
Step-by-step explanation:
help !! asap
!!!!!!!!!
Morris griffin bought 7 gallons of paint to paint his neighbors house.he had 4 gallons and 3 quarts of paint leftover.how many quarts of paint did he use?
9514 1404 393
Answer:
9 quarts
Step-by-step explanation:
There are 4 quarts in a gallon, so the amount used was ...
used = bought - leftover
used = (7 gal)(4 quarts/gal) - ((4 gal)(4 quarts/gal) +3 quarts)
used = 28 quarts - (16 +3 quarts)
used = 9 quarts
Morris Griffin used 9 quarts of paint to paint his neighbor's house.
Solve for f:
f - 4 = 6f + 26
Answer:
f = -6
Step-by-step explanation:
Which expressions are equivalent to 64^1Check all that apply
The right answers are:
4^38^22^6Hope it helps.
please see the attached picture for full solution
Good luck on your assignment
If the perimeter of a square fishpond is 8cm how long is each side of the pond
Answer:
2 cm
Step-by-step explanation:
A square has 4 sides. The perimeter is the total length of the sides. 8/4=2.
Jessica is in an art lesson. She decides to pick a coloured pencil from her pencil case at random for her next drawing.
She has 10 coloured pencils in her pencil case, and 8 of them are yellow. What is the probability, as a percentage (%), that she picks a yellow pencil?
The probability that Jessica picks a yellow pencil is 80%.
What exactly is probability?
Probability is a measure of an event's possibility or chance of occurring. It is stated as a number ranging from 0 to 1, or as a percentage ranging from 0% to 100%, where 0 indicates an impossible occurrence and 1 (or 100%) represents a certain event.
Now,
The probability of picking a yellow pencil = the number of yellow pencils / total number of pencils:
Probability of picking a yellow pencil = Number of yellow pencils / Total number of pencils
In this case, there are 8 yellow pencils out of a total of 10 pencils:
Probability of picking a yellow pencil = 8 / 10
Simplifying the fraction by dividing both the numerator and denominator by 2, we get:
Probability of picking a yellow pencil = 4 / 5
Probability of picking a yellow pencil = 4 / 5 x 100%
Probability of picking a yellow pencil = 80%
Therefore, the probability that Jessica picks a yellow pencil is 80%.
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What are the intercepts of the graph of
the equation 4y - x = 8
Answer:
x intercept: (-8,0)
y intercept: (0,2)
If 2y=34x find x when y is equal to √2
Answer:
x = √2/17
= approximately 0.083
Step-by-step explanation:
PLEASE HURRY DUE TONIGHT
Mary is babysitting a 4-year-old. The little boy wants to play in the kiddie pool in the backyard. Mary knows that using the hose that is near the kiddie pool will take 30 minutes to fill up. The little boy has already asked 17 times if the pool is ready but she hasn't even turned on the water yet. Mary also knows that the hose from the front yard works faster and can fill the pool in 1/2 the time as the hose in the back yard. If she can use both hoses at the same time, how long will it take for the pool to fill up?
(PLEASE SHOW YOUR WORK)(I saw other people get 7.5 min and 75 min but those answers are incorrect.)
A. 5 minutes
B. 10 minutes
C. 22.5 minutes
Using both hoses will take 10 minutes to fill up the kiddie pool. Mary can fill up 1/3 of the pool using the front yard hose in 10 minutes and 1/6 of the pool using the backyard hose in 10 minutes.
To solve this problem, we need to use the concept of rates. Let's assume the rate of the hose in the backyard is x, so the rate of the hose in the front yard is 2x (because it is twice as fast as the other hose).
The combined rate of the two hoses is x + 2x = 3x, which means they can fill the pool in 30/3x = 10/x minutes.
We know that the area of the pool is 600 square feet and each small rock covers 20 square feet, so we need a total of 600/20 = 30 small rocks to cover the pool.
Since the mass of each rock is 20 grams, the total mass of all 30 rocks is 30 x 20 = 600 grams.
To find the density, we divide the total mass (600 grams) by the total volume of the rocks (30 x 20 cubic feet = 600 cubic feet)
Density = 600g / 600 cubic feet = 1g/cubic foot
Therefore, the answer is B. 10 minutes for the pool to fill up, and the density of the rocks is 1 gram per cubic foot.
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calcule el cociente de los siguientes ejercicios
(-8)/(+2)
Answer:
-4
Step-by-step explanation:
In the late 1980's, WY's regular automobile license plate was 4 digits. How many plates could be made?
Answer: 32
Step-by-step explanation:
A plane leaves an airport at noon flying due south at 900 km/h. That same day, another plane is flying due east toward the
airport at 600 km/h.
If the incoming plane is 2000 km away from the airport at 4 pm, what is the rate of change of the distance between the planes?
The rate of change of the Distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.
The rate of change of the distance between the planes, we need to determine how the distance between them changes over time.
the distance between the two planes is represented by the variable D, and time is represented by the variable t.
At noon, the southbound plane starts flying and continues for 4 hours until 4 pm. During this time, the plane covers a distance of 900 km/h * 4 hours = 3600 km due south.
Meanwhile, the eastbound plane is also traveling towards the airport. It starts from a distance of 2000 km away from the airport at 4 pm.
To find the distance between the planes at any given time, we can use the Pythagorean theorem, as the planes are moving at right angles to each other. The distance D between the planes can be calculated as:
D^2 = (2000 km)^2 + (3600 km)^2
Simplifying the equation:
D^2 = 4000000 km^2 + 12960000 km^2
D^2 = 16960000 km^2
Taking the square root of both sides:
D = sqrt(16960000) km
D = 4120 km
Now, we can find the rate of change of the distance between the planes by calculating the derivative of the distance equation with respect to time
dD/dt = 0
Since the distance between the planes is constant, the rate of change is zero.
Therefore, the rate of change of the distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.
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Which of the following is an example of a reserved power?
A. raising and maintaining a navy
B. declaring war and governing combat
C. establishing and funding a system of public education
D.coining money and fixing the standards of weights and measures
Answer:
B
Step-by-step explanation:
How much money does the dessert store make from selling three muffins and four cakes?
Answer:
If everything is a dollar then the store will make $7 from selling all of those treats.
Step-by-step explanation:
:D
A smartphone costs $120. Sales tax is 5%. What is the total cost, including tax?
Answer:
$126
Step-by-step explanation:
5% of 120 is 6.
Then add it since it askes the total including tax.
6 + 120 = 126
please help me solve this
Answer:
161.67 square feet
Step-by-step explanation:
The explanation is attached below.
What is the area of the figure?
A figure can be broken into a rectangle and triangle. The rectangle has a base of 5 feet and height of one-third feet. The triangle has a base of 3 and two-thirds feet and height of 2 feet.
5One-third ft2
6 and two-thirds ft2
7 ft2
9 ft2
plzzzz help in a test!!! i only have 18 pts sry!!!
Answer:
5 one-third ft²
Step-by-step explanation:
rectangle=5ft (base) / 1/3ft (height)
triangle1=3ft (base) / 2ft (height)
triangle2=2/3ft (base) / 2ft (height)
area of rectangle=5x1/3
=5/3ft²
area of triangle1=3x2(1/2)
=3ft²
area of triangle2=2/3x2(1/2)
=2/3ft²
Total area=5/3+6+2/3
=16/3ft² or 5 one-third ft²
Answer:
A
Step-by-step explanation:
took the test on edg 2021
Jocelyn has a ladder that is 15 ft long. She wants to lean the ladder against a vertical wall so that the top of the ladder is 13.5 ft above the ground. For safety reasons, she wants the angle the ladder makes with the ground to be less than 75°. Will the ladder be safe at this height? Show your work and equation to support your answer
By using trigonometric relations, we will see that the angle that the ladder makes with the ground is 64.2°, so we conclude that the ladder is safe.
Will the ladder be safe at this height?Notice that the ladder makes a right triangle with the wall.
Such that the hypotenuse (the ladder itself) measures 15 ft, and one of the catheti (distance between the ground and top of the ladder) measures 13.5ft
If we considerate the angle that the ladder makes with the ground, the known cathetus is the opposite cathetus.
Then we can use the relation:
sin(x) = (opposite cathetus)/(hypotenuse)
Then:
sin(x) = (13.5ft)/(15ft)
If we use the inverse sine function on both sides, we get:
Asin(sin(x)) = Asin( 13.5ft/15ft)
x = Asin(13.5/15) = 64.2°
So the angle is less than 75°, which means that in fact, the ladder is safe.
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Give the ordered pair of the 3rd Critical point.
Y = 4cos10(x - 12°) +16