[tex]a-one\ side\ of\ rectangle\\a+3-other\ side\ of\ rectangle\\2a+2(a+3)=2a+2a+6=4a+6-the\ perimeter\\46\ in-the\ perimeter\\\\\text{The equation:}\\\\4a+6=46\qquad\text{subtract 6 from both sides}\\\\4a=40\qquad\text{divide both sides by 4}\\\\a=10\\\\a+3=10+3=13\\\\\text{Dimensions of the rectangle:}\ 10\ in\ \times\ 13\ in.\\\\\text{The area of the rectangle:}\\\\\boxed{A=10\cdot13=130\ in^2}[/tex]
Factor the expression P^4+3p^3-10p^2
Answer:
[tex]p^2(p+5)(p-2)[/tex]
Step-by-step explanation:
To begin factoring the expression [tex]p^4+3p^3-10p^2[/tex], we use the GCF or greatest common factor. The greatest common factor is the greatest number that will divide into two or more values. We start to find it by factoring each term:
[tex]p^4=p*p*p*p[/tex]
[tex]3p^3: 3*p*p*p[/tex]
[tex]-10p^2: -10*p*p[/tex]
Remember -10 can factor into smaller numbers but since it doesn't have common factors with the others, we've chosen to leave it as -10.
We notice the only common factors bare p*p or [tex]p^2[/tex].
We write in the form p^2(____+_____+_____). We find the inside of the parenthesis by dividing each term by p^2.
[tex]\frac{p^4}{p^2} =p^2[/tex]
[tex]\frac{3p^3}{p^2} =3p[/tex]
[tex]\frac{-10p^2}{p^2}=-10[/tex]
[tex]p^2(p^2+3p-10)[/tex].
We are not finished yet. We have a trinomial (3 terms) which also factors. We factor by splitting the middle term 3p into factors of -10 which add to 3.
--10 = 5 * -2
3p= 5p +-2p
We write [tex]p^2(p+5)(p-2)[/tex].
Solve this for me please??
Answer: 4 cups of milk
=============================
Work Shown:
2 & 1/2 = 2 + 1/2 = 2+0.5 = 2.5
2.5 cups of milk makes 5 servings
x cups of milk makes 8 servings
Divide the cups of milk over the servings to get this proportion
2.5/5 = x/8
Cross multiply and solve for x
2.5/5 = x/8
2.5*8 = 5*x
20 = 5*x
5*x = 20
x = 20/5
x = 4
You need 4 cups of milk to make 8 servings
A leprechaun places a magic penny under a girl's pillow. The next night there are 2 magic pennies under her pillow. Each night the number of magic pennies doubles. How much money will the girl have after 22 nights?
Answer:
tn = 2097152 penniestn = 20971.52 dollars.Step-by-step explanation:
A surprisingly large amount of money.
The question is "Does the amount of money just double or do the previous amounts add to the present amount?"
I think it just doubles. Not only that, but she can't spend any of it until night 22 is reached.
tn = a*2^(n - 1)a = 1 She starts with 1 penny.n = 22tn = 1*2^(22 - 1)tn = 1*2^21tn = 2097152 penniestn = 20971.52 dollars.What Multiplies to get 540, but adds to get -16?
Polynomial help! Show your work! There is no multiple choice. I know how to solve the problem just can’t figure this one step
20. What should be the top item on a list of your life goals?
A. A goal that's most important to you
B. A goal that's easily achievable
C. A goal you think others would want you to complete
D. A goal that's financially feasible
Answer:
The most appropriate answer option is A. A goal that's most important to you .
Step-by-step explanation:
The top item on a list of your life goals should be a goal that's most important to you.
One should not give a thought about what others want or expect from you but what you want for yourself and you think is the most important to you.
No matter how difficult or even impossible it may seem to you, you should always stay focused on it and never give up on it. With dedication and consistency, you will be able to manage and ultimately achieve it.
Given: ABCD is a rectangle. If AC = 10, then BD = 5 8 10
Answer:
[tex]BD=10[/tex]
Step-by-step explanation:
We are given rectangle ABCD
Firstly, we will draw a rectangle
we can see that
AC and BD are diagonals of rectangle
and we know that
Diagonals of any rectangle are always equal
so,
[tex]AC=BD[/tex]
we are given
AC=10
we can plug it
and we get
[tex]10=BD[/tex]
so,
[tex]BD=10[/tex]
a clothing store offers a free t-shirt when a customer spends $75 a month lyndon and has already spent $36.95 which statement best represents all of the amounts he can spend to get a free t-shirt
A.$34.05 or more
B.$34.05 or less
C.$38.05 or more
D.$38.05 or less
Diego has 49 square inch tiles. He wants to use to make a square mosaic. How long can each side of the mosaic be?
Answer:
side of the mosaic = 7 inches
Step-by-step explanation:
Diego has 49 square inch tiles. He wants to use to make a square mosaic.
Area of the tile = 49 square inches
We know , area of the square = s^2
where 's' is the side of the square
[tex]Area = s^2[/tex]
Plug in 49 for area and solve for 's'
[tex]49 = s^2[/tex]
Take square root on both sides
s= 7
side of the square = 7 inches
Diego can make a square mosaic where each side is 7 inches using his 49 square-inch tiles. This is found by calculating the square root of the total area.
Explanation:The subject of this question is Mathematics, specifically dealing with square roots and area calculations. Diego has 49 square inch tiles and wants to make a square mosaic. Since a square has equal sides, the length of each side of the mosaic will be the square root of the total area. The total area of the tiles is 49 square inches. The square root of 49 is 7. Therefore, each side of Diego's mosaic will be 7 inches in length. This conclusion is reached by understanding how the area of a square works. The area of a square can be calculated by multiplying the length of one side by the length of another side. When we know the total area, we can find the length of one side by taking the square root.
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You downloaded a video game to your computer. You have a 60-minute free trial of the game. It takes 5 minutes to set up the game and 7 minutes to play each level. You want to find out how many levels you can play for free.
Let l represent the number of levels played. Write an inequality to determine the number of levels you can play in 60 minutes.
Answer:
I think the equation is 7l +5=60
Step-by-step explanation:
wat is 78×748 plz help i cant be on mah phone someone answer quick plz
Answer:
the answer is 58344
Step-by-step explanation:
2x + 5y = 17 and 6x - 5y = -9 what is the solution of the system use elimination
x = 8.5 + 2.5y answer one can’t figure out answer two. Sorry
Answer:
{x = 1 , y = 3
Step-by-step explanation:
Solve the following system: using elimination:
{2 x + 5 y = 17 | (equation 1)
{6 x - 5 y = -9 | (equation 2)
Swap equation 1 with equation 2:
{6 x - 5 y = -9 | (equation 1)
{2 x + 5 y = 17 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{6 x - 5 y = -9 | (equation 1)
{0 x+(20 y)/3 = 20 | (equation 2)
Multiply equation 2 by 3/20:
{6 x - 5 y = -9 | (equation 1)
{0 x+y = 3 | (equation 2)
Add 5 × (equation 2) to equation 1:
{6 x+0 y = 6 | (equation 1)
{0 x+y = 3 | (equation 2)
Divide equation 1 by 6:
{x+0 y = 1 | (equation 1)
{0 x+y = 3 | (equation 2)
Collect results:
Answer: {x = 1 , y = 3
A sandwich store charges a delivery fee to bring lunch to an office building. One office pays $33 for 4 turkey sandwiches. Another office pays $61 for 8 turkey sandwiches. How much does each turkey sandwich add to the cost of the delivery fee? Explain using equations and graph. Are they able to get 12 sandwiches for $85?
Answer:
No each sandwich costs about 8.25, when multiplied it goes to $99 which is 14 dollars too much
Step-by-step explanation:
Given the equation: y−6=1/2(x+2) in point slope form, rewrite the equation into standard form. Show your work for full credit.
Answer:
x - 2y = - 14
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given y - 6 = [tex]\frac{1}{2}[/tex](x + 2)
multiply all terms by 2 to eliminate the fraction
2y - 12 = x + 2 ( subtract 2 from both sides )
2y - 14 = x ( subtract 2y from both sides )
- 14 = x - 2y, hence
x - 2y = - 14 ← in standard form
Rons class donated d dollars to a local charity Danny’s class donated 21% more than Ron’s class witch expression shows the amount Danny’s class donated in terms of the amount donated by Ron’s class
Answer:
1.21d
Step-by-step explanation:
21% more = times 1.21
so Ron's class donated 1.21 times danny's class, therefore the expression for the amount ron's class donated in terms of danny's class is 1.21 d
what is the value of the exponential expression below?
16^1/2 is the same thing as 2√16.
Simply multiply the result of √16 by 2 to get the answer.
√16 = 4
4 * 2 = 8
The correct answer is 8.The sale price of an item is 0.75 the original price of the item, x. Which statement explains why both 3 4 x and 0.75x can find the sale price of the item? The fraction 3 4 is the same as the decimal 0.25. Therefore, 3 4 x can be written as 0.25x. Multiplying by 4 3 is the same as multiplying by 0.8. The expressions are not equivalent. Multiplying by 3 4 is the same as multiplying by 75%.
Answer:
Answer. Multiplying by 3/4 is the same as multiplying by 75%.
Step-by-step explanation:
Last option: Multiplying by 3/4 is the same as multiplying by 75%, because:
3/4=0.75 and
75%=75/100=0.75
then 3/4=0.75=75%
What true about centimeters and kilometers
Answer:
Centimeters and kilometers are used to measure length
Step-by-step explanation:
Centimeters and kilometers are related to each other.
We can represents centimeters in kilometers and kilometers in centimeters
Short form
The short form of kilometers = km
The short form of centimeters = cm
1 km = 100000 cm
1 cm = 1/100000 km
We can also represent both in terms of meters
1 m = = 100 cm
1000 m = 1 km
turn 20/12 into a mixed number
Answer:
1 2/3
Step-by-step explanation:
well first reduce it which would be 5/3 since the greatest common denominator would be 4. Then put 3 in the 5 which goes only once and 2 is left over. Keep the threeas the denominator instead of the numerator.
What is the probability that someone in the survey considered reading books or surf the internet as the best entertainment?
Answer:
31/100
Step-by-step explanation:
From the given table
Reading books percentage is 22
so Probability (reading books) = [tex]\frac{22}{100}[/tex]
Surf the internet percentage is 9
Probability (surf the internet) =[tex]\frac{9}{100}[/tex]
the probability (reading books or surf the internet)= P(reading books) + P(surf the internet)
probability (reading or surf)= [tex]\frac{22}{100} +\frac{9}{100}[/tex]
= [tex]\frac{31}{100} [/tex]
Answer:
Answer is [tex]\frac{31}{100}[/tex]
Step-by-step explanation:
values given in table
Reading books percentage is 22
hence we can write probability as
Probability (reading books) = [tex]\frac{22}{100}[/tex]
percentage of surfing internet is= 9
Probability of surfing internet is =[tex]\frac{09}{100}[/tex]
the probability (reading books or surf the internet)= P(reading books) + P(surf the internet)
probability (reading or surf)= [tex]\frac{22}{100}[/tex]+[tex]\frac{09}{100}[/tex]
=[tex]\frac{31}{100}[/tex]
Plis help me with this .
Draw graph of function.
f(x)=-2x+2
yogi ran 1/5 of a mile in 2/3 of an hour. how far will he run in one hour
A specific distance is approximately 63,500,00 mi. A fly is about 0.18 in. long ???
A) what is the distance written in scientific notation
B) what is the length of a fly written in scientific notation
C) change the distance to inches it would be 5.04×10 to the power of nine if we lined up the flies how many would it take to reach the distance in standard form and scientific notation.
Answer:
Step-by-step explanation:
a) Given that a specific distance is approximately 6350000 miles.
To write this in scientific notation. We know that for writing in scientific notation we must writte the given number as a positive number less than 10 x product of powers of n.
Hence this number
6350000 = 6.35 x1000000 = [tex]6.35x10^6[/tex] miles
b) Length of a fly = 0.18 inches.
To write this in scientific notation. We know that for writing in scientific notation we must writte the given number as a positive number less than 10 x product of powers of n.
so 0.18 = 1.8([tex]1.8(10^{-1}[/tex]
c) Given that distance = 5.04x10^9 inches
To line up number of flies required
= [tex]\frac{5.04x10^9}{0.18} = \frac{504x10^9}{18}=28(10^9)\\Answer is\\28(10^9)[/tex]
In this mathematical problem, the distance of 63,500,000 miles is written in scientific notation as 6.35 x 10^7. The length of a fly, 0.18 inches, is expressed in scientific notation as 1.8 x 10^-1. To find the number of flies to cover the distance, the distance is first converted to inches (5.04 x 10^9), which when divided by the length of a fly results in 2.8 x 10^10, meaning approximately 28,000,000,000 flies would be needed.
Explanation:The student's question involves the use of scientific notation and unit conversion in Mathematics.
Firstly, the distance given as approximately 63,500,000 miles can be written in scientific notation as 6.35 x 10^7 miles. The number is changed to a number between 1 and 10 by moving the decimal point 7 places to the left, hence the exponent 7. Secondly, the length of the fly given as 0.18 inches can be written in scientific notation as 1.8 x 10^-1 inches. The decimal point is moved 1 place to the right resulting in an exponent of -1. Lastly, to find out how many flies it would take to reach the distance, we first need to convert the distance from miles to inches. It is given that the conversion is approximately 5.04 x 10^9 inches. So, if we divide this by the length of a fly, i.e., 1.8 x 10^-1 inches, we would arrive at approximately 2.8 x 10^10 flies in both standard form and scientific notation. That is, it would take about 28,000,000,000 flies to reach the mentioned distance. Learn more about Scientific Notation and Unit Conversion here:
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1.74÷(−0.06)?
PLEASE HELP ME
1.74/-0.06 is -29.
You can use your calculator next time. Its easier than using points.
List the following numbers in order from least to greatest. 2.31,2.13,0.123,3.12
Answer:
Step-by-step explanation:
0.123
2.13
2.31
3.12
That is least to greatest. I hope I answered your ?. Can you help me?
Answer:
0.123, 2.13, 2.31, 3.12
Step-by-step explanation:
look at first number and put those in order.
with both numbers that start with 2, look at the next number and put the lowest one first
PLEASE HELP!!
Given: line segment AB is 10 inches long.
Find the length of A'B' if AB is dilated to form A'B' with a scale factor of 2.
A) 1/2 inches
B) 5 inches
C)10 inches
D)20 inches
Answer:
D or 20
Step-by-step explanation:
If the scale factor is 2 then you take the original number, 10, and multiply it by 2.
10*2=20
Answer:
Option D). 20 inches
Step-by-step explanation:
Length of AB which is of length = 10 inches.
If the length of AB is dilated to form A'B' with a scale factor of 2, then we have to find the length of A'B'
Since we know the formula of dilation as
New dimension = Scale factor × Old dimension
So A'B' = Scale factor × AB
A'B' = 2× 10 = 20 Inches
Option D). 20 inches is the solution.
What is the equation of a line with a slope of 7 and a point (1, 8) on the line?
Express the equation in the form of y = mx + b, where m is the slope and b is the y-intercept.
Enter your answer in the box.
Answer:
y = 7x + 1
Step-by-step explanation:
If the slope and coordinates have already been given, you can plug the values into the following equation of a line:
y - y1 = m(x - x1)
Where y1 is the y coordinate, so in this case 8,
x1 is the x coordinate which is 1
m is the slope, so 7:
y - 8 = 7(x - 1)
Expand the brackets:
y - 8 = 7x - 7
To isolate the y, we need to move the -8 over to the other side making it a positive 8:
y = 7x - 7 + 8
y = 7x + 1
So the equation of the line is y = 7x + 1
word form of 16.0215
Answer: sixteen and two-hundred fifteen ten thousandths
You'd have to correspond the numbers to words and associate the period with and
Answer: Sixteen and two hundred fifteen ten-thousandths
We read off "16" as normal. Nothing too special about it.
The same goes for the 0215 which is really just 215, even though this part is after the decimal point. However, because it is after the decimal point, we tack on a "ten thousandths" to indicate it's a fractional non-whole portion
Note: if you change the 0 to something like a 3, then we would have 3215 which is less than ten-thousand. This might help you remember that four decimal spots out is the ten-thousandth place value.
another note: the "and" mentioned in the answer is a key word that indicates "decimal point". Only use it for decimal points. Do not use it for a number like "215". In other words, don't say "two hundred and fifteen" because that might seem like you are trying to say 2.15 or something along those lines.
Lee can type 1 1/3 pages every 15 minutes. How many hours does it take him to type 10 2/3 pages
Answer:
2 hours
Step-by-step explanation:
if you can type 1 1/3 pages every 15 minutes than you can type 5 1/3 pages every hour. you divide 10 2/3 pages by how many pages Lee can type every hour and the result is 2 hours
What is the slope of the line
Answer:
The slope is 7/4.
Mr. Sprocket borrows $3,500 from his bank to buy a used car. The loan has a 7.4% annual simple interest rate. If it takes Mr. Sprocket two years to pay back the loan, what is the total amount he will be paying?
Answer:
the correct answer is $4018