Figure ABCD is a trapezoid with point A (0, −4). What rule would rotate the figure 270° clockwise?
Answer-
The rule (x, y) → (-y, x) would rotate the figure 270° clockwise and after rotation the coordinate of A will be (4, 0)
Solution-
ABCD is a trapezoid with vertex A at (0, -4)
The trapezoid ABCD is rotated 270°.
While rotating a point with coordinate (x, y) 270° clockwise, its new coordinate will be (-y, x)
So applying the rule, new coordinate of A will be (4, 0)
Therefore, the rule (x, y) → (-y, x) would rotate the figure 270° clockwise and after rotation the coordinate of A will be (4, 0)
How should the number 1.230 x 103 be properly expressed as a decimal?
Final answer:
To express [tex]1.230 \times 10^3[/tex] as a decimal, you move the decimal point three places to the right, resulting in the number 1230.
Explanation:
The question asks how the number [tex]1.230 \times 10^3[/tex] should be properly expressed as a decimal. To convert from scientific notation to decimal form, we multiply the numerical part of the expression by 10 raised to the power indicated by the exponent. In this case, 1.230 is multiplied by [tex]10^3,[/tex] which means 1.230 needs to be multiplied by 1000 (because 103 = 1000). Therefore, we move the decimal point three places to the right (since the exponent is positive), transforming [tex]1.230 \times 10^3[/tex] into 1230.
What is 681,542 rounded to the nearest hundred thousand.
In the 2011 new york marathon 29867 men finished the race, and 16928 women finished the race. Each finisher was given a t-shirt. About how many men's shirts were given away? About how many women's shirts were given away? Explain how you found your answers.
The number of t-shirts given to men is 29867 and the number of t-shirts given to women is 16928.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Given that,
Each male finisher has given a t-shirt
So,
Number of men finishers = number of t shirt
Since,
number of t-shirts given to man = 29867
Similarly,
Each women's finisher has given a t-shirt
So,
Number of women's finishers = number of t-shirts
So,
number of t-shirts given to women = 16928
Hence "The number of t-shirts given to men is 29867 and the number of t-shirts given to women is 16928".
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alyssa received 30,000 from an inheritance and invests in a certificate of deposit paying 5% annual interest and the rest in apple inc. offering an annual return of 11%. if the annual income from her income from her investment is 2220.00, how much did alyssa invest in each?
the mantle layer of earth begins about 70 kilometers underneath the surface. The layer called the outer core begins about 2970 kilometers underneath the surface. Write an interger for the position of each layer relative to the surface
Solve this equation for C
R=5(C/A-0.3)
Answer:
[tex]C=0.2RA+0.3A[/tex]
Step-by-step explanation:
To solve the equation [tex]R=5(\frac{C}{A}-0.3)[/tex] for [tex]C[/tex] you must:
[tex]\mathrm{Switch\:sides}\\\\5\left(\frac{C}{A}-0.3\right)=R[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5\left(\frac{C}{A}-0.3\right)}{5}=\frac{R}{5}[/tex]
[tex]\mathrm{Simplify}\\\\\frac{C}{A}-0.3=\frac{R}{5}[/tex]
[tex]\mathrm{Add\:}0.3\mathrm{\:to\:both\:sides}\\\\\frac{C}{A}-0.3+0.3=\frac{R}{5}+0.3[/tex]
[tex]\mathrm{Simplify}\\\\\frac{C}{A}=0.2R+0.3[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}A\\\\\frac{CA}{A}=0.2RA+0.3A[/tex]
[tex]\mathrm{Simplify}\\\\C=0.2RA+0.3A[/tex]
Best way to work out planet torrid take 6 years to complete one orbit , planet monde blanc takes 9 years in the year 2035 both planets are lined up perfectly.
How many years will it be before the two worlds are line up again ?
Which one of these numbers is not like the others?
25, 16, 49, 63, 81
The normal body temperature of a camel is 37° C this temperature varies by up to three degrees C throughout the day write and solve an absolute value inequality that represents the range of normal body temperatures in degrees celsius of a camel throughout the day
At 3pm, Mikayla’s shadow was 1.2 meters long. Mikayla is 1.7 meters tall. She measures a tree’s shadow to be 7.5 meters. How tall is the tree?
Antonio is ready to move out of his parent's house and live on his own. He found a great apartment that has all utilities included. His job as an assistant plumber requires him to have a car, but his hours are flexible enough to give him time on the weekends to have fun with his friends. What is the best way Antonio's budget can be modified to help him save enough for the $200 down payment and make the $500 monthly rental payment? Monthly Budget Old Budget New Budget Income Wages $1500 $1500 Expenses Food Cell Phone Savings Entertainment Car Expenses . $250 $175 $200 $200 $300 . $____ $____ $____ $____ $____ Net Income $375 $____ a. Antonio could keep his budget the same and hope he gets a raise at work. b. Antonio could reduce his monthly entertainment expenses by $100 to help pay the monthly rent. He could take $200 out of savings once for the deposit. c. Antonio could live at his parent’s house for one more month and save his net income. After one month of living at home, he would have enough additional money for the deposit and one year’s rent at the apartment. d. Antonio could reduce his monthly entertainment expenses by $75 and his food expenses by $50 to pay the monthly rent. He could take $200 out of savings once for the deposit.
Answer:
d. Antonio could reduce his monthly entertainment expenses by $75 and his food expenses by $50 to pay the monthly rent. He could take $200 out of savings once for the deposit.
Step-by-step explanation:
As you can see, Antonio´s expenses add up to a total of $1,125 a month
Expenses:
Food $250
Cellphone $175
Savings $200
Entertainment $200
Car $300
Total: $1175
So he has $375 each month free to pay for the rent, he is $125 short of making it to the $500 monthly rent, so he only has to cut expenses for $125 dollars, by reducing his food expenses $75 and his entertainment expenses $50 he makes the $125 that he is lacking and is able to afford the $500 monthly rent.
without using a calculator order the numbers from least to greatest square root of 200, 15, and 14
To order the numbers from least to greatest, estimate their square roots: 14 < 14.14 < 15.
Explanation:To order the numbers from least to greatest, we need to compare their square roots. Without using a calculator, we can estimate the square roots to determine the order.
The square root of 200 is approximately 14.14.The square root of 15 is approximately 3.87.The square root of 14 is approximately 3.74.Therefore, the order from least to greatest is 14 < 14.14 < 15.
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You can spend up to $35 on a shopping trip.
a. You want to buy a shirt that costs $14. Write and solve an inequality that represents the amount of money you will have left if you buy the shirt.
b. You notice that the shirt is on sale for %30 off. How does this change the inequality?
c. Do you have enough money to buy the shirt that is on sale and a pair of pants that cost $23? Explain.
the length of a rectangle is 6 units shorter than 1/4 of the width x. Write an expression for the perimeter of the rectangle.
Simplify using the distributive property. 8( y + 12)
A: 8 y + 12
B: 20 y
C: 20 + y
D: 8 y + 96
The question requires us to simplify 8(y + 12) using the distributive property, which results in 8y + 96. So, correct answer is D: 8y + 96.
Explanation:The question is asking us to simplify the expression 8( y + 12)
using the distributive property. The distributive property states that multiplication distributes over addition. In simpler terms, it means that if you have a multiplication operation involving a sum (or difference), you can 'distribute' the multiplier to each term inside the parenthesis.
Applying the distributive property to 8( y + 12) gives us:
8 * y + 8 * 12
This simplifies to:
8y + 96
So the correct answer is D : 8y + 96.
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Please help me!! I'm terrible at math
A birds nest is 12 feet above the ground. A moles den is 12 inches below the ground. What is the difference in height of these 2 positions?
Final answer:
The difference in height between the bird's nest and the mole's den is 132 inches.
Explanation:
To find the difference in height between the bird's nest and the mole's den, we need to convert the measurements to the same units. The nest is 12 feet above the ground, which is equivalent to 12 x 12 = 144 inches above the ground. The mole's den is 12 inches below the ground. To find the difference, we subtract the depth of the mole's den from the height of the bird's nest: 144 - 12 = 132 inches.
Final answer:
To find the difference in height between the bird's nest and the mole's den, convert the measurements to the same unit and calculate the total difference.
Explanation:
To find the difference in height between the bird's nest and the mole's den, we need to convert the measurements to the same unit. Since the bird's nest is 12 feet above the ground and the mole's den is 12 inches below the ground, we can convert both measurements to inches. There are 12 inches in a foot, so the bird's nest is 12 x 12 = 144 inches above the ground. The difference in height is then 144 inches + 12 inches (negative sign since it's below the ground) = 156 inches.
frank finished his history assignment 1/5 hours then he completed his math assignment in 2/3 hours what is the total amount of time Frank's been doing these two assignments write your answer in simplest fraction form
The total amount of time Frank's been doing these two assignments will be 13 / 15 hours.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Frank finished his history assignment in 1/5 hours then he completed his math assignment in 2/3 hours.
Then the total amount of time Frank's been doing these two assignments will be
⇒ 1/5 + 2/3
⇒ (3 + 2 x 5) / 15
⇒ 13 / 15 hours
The total amount of time Frank's been doing these two assignments will be 13 / 15 hours.
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12-5x-4kx=y solve for x
0.8 is 10 times as great as wich decimal?
Is the number of calories you have burned since midnight at any time during the say a function\?
the product of m and 5, minus the quotient of r and 7
what is the improper fraction of 7/2
how to graph the equation y= 2x + 3 and y= 2x -2?
what is 2 2/3 x 15 plz help for my hw
Chris said that it is 31 days until his birthday. how many hours until his birthday? minutes? second?
For a party 20 sandwiches are being made if each sandwich is cut into thirds how many sandwich pieces are there?
When you cut 20 sandwiches into thirds, you will end up having 60 pieces of sandwiches.
Explanation:The question you're asking requires a simple multiplication. Given that you have 20 sandwiches and you're cutting each sandwich into thirds, you need to multiply the number of sandwiches (20) by the number of cuts (3). The equation is 20 sandwiches * 3 pieces/sandwich.
So, when you multiply 20 by 3, you end up with a total of 60 pieces of sandwich. Therefore, after cutting all the sandwiches into thirds, you should have 60 pieces of sandwich for the party.
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8/9(54x−36)+2=−34(−40+16x)+90x
Answer:-2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Subtract 78x from both sides.
Step 3: Add 30 to both sides.
Step 4: Divide both sides by -30.
x=−2
The expression as 8/9(54x−36)+2=−34(−40+16x)+90x gives the value of x is -2.
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
Given ;
8/9(54x−36)+2=−34(−40+16x)+90x
First we need to use the distributive property
48x-32+2=30-12x+90
Now then add or subtract like terms,
48x-30=30+78x
Then subtract 48x
-30=30 +30x
Now, then -30
-60=30x
then multiply by 30
We get the value of x
x=−2
Therefore, the expression as 8/9(54x−36)+2=−34(−40+16x)+90x gives the value of x is -2.
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a painter works 37.5 hours one week. If she worked 5 days, how many hours did she work on average per day?