Answer:
its.12.5
Step-by-step explanation:
but if you round it up it can be either 13 or 12 but i would stick with 12 cause you cant round it up for guests since you know real life and if you stay at 12 they hey stay at 12
Answer:
12
Step-by-step explanation:
100÷8=12.5
can't have half of a person
How many significant digits should the product of 11,435 m and 19.35 m have
Answer:
2 significants choes the least significant digets which is 19.35
result is 221,267.25
The price of apples at three different stores in shown below.
Store R sells apples for $1.20 per pound
Store S sells 4 pounds of apples for $5.00
Store T sells 3 pounds of apples for $3.48
Which of these is a true statemen
Answer: None
Step-by-step explanation: You need more info to answer that question so I would just put that you don’t know much about the question.
Rosa is putting carpet in her rectangular bedroom. She made a scale drawing using the scale of 1 inch = 3 feet. In the drawing, the length is 5.5 inches and the width is 3.25 inches. If the carpet cost $2.58 per square foot, how much will it cost to carpet the bedroom?
Answer:
$59768.28
Step-by-step explanation:
5.5*36=198
3.25*36=117
117*198=23166
23166*2.58= thats a big room, let alone a lot of money
What is the quotient when 10x^3-3x^2-7x+3 is divided by 2x-1?
Answer:
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
STEP
2
:
Equation at the end of step
2
:
STEP
3
:
10x3 - 3x2 - 7x + 3
Simplify ———————————————————
2x - 1
Checking for a perfect cube :
3.1 10x3 - 3x2 - 7x + 3 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 10x3 - 3x2 - 7x + 3
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -7x + 3
Group 2: 10x3 - 3x2
Pull out from each group separately :
Group 1: (-7x + 3) • (1) = (7x - 3) • (-1)
Group 2: (10x - 3) • (x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
3.3 Find roots (zeroes) of : F(x) = 10x3 - 3x2 - 7x + 3
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 10 and the Trailing Constant is 3.
The factor(s) are:
of the Leading Coefficient : 1,2 ,5 ,10
of the Trailing Constant : 1 ,3
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -3.00
-1 2 -0.50 4.50
-1 5 -0.20 4.20
-1 10 -0.10 3.66
-3 1 -3.00 -273.00
-3 2 -1.50 -27.00
-3 5 -0.60 3.96
-3 10 -0.30 4.56
1 1 1.00 3.00
1 2 0.50 0.00 2x - 1
1 5 0.20 1.56
1 10 0.10 2.28
3 1 3.00 225.00
3 2 1.50 19.50
3 5 0.60 -0.12
3 10 0.30 0.90
The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms
In our case this means that
10x3 - 3x2 - 7x + 3
can be divided with 2x - 1
Polynomial Long Division :
3.4 Polynomial Long Division
Dividing : 10x3 - 3x2 - 7x + 3
("Dividend")
By : 2x - 1 ("Divisor")
dividend 10x3 - 3x2 - 7x + 3
- divisor * 5x2 10x3 - 5x2
remainder 2x2 - 7x + 3
- divisor * x1 2x2 - x
remainder - 6x + 3
- divisor * -3x0 - 6x + 3
remainder 0
Quotient : 5x2+x-3 Remainder: 0
Trying to factor by splitting the middle term
3.5 Factoring 5x2+x-3
The first term is, 5x2 its coefficient is 5 .
The middle term is, +x its coefficient is 1 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 5 • -3 = -15
Step-2 : Find two factors of -15 whose sum equals the coefficient of the middle term, which is 1 .
-15 + 1 = -14
-5 + 3 = -2
-3 + 5 = 2
-1 + 15 = 14
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Canceling Out :
3.6 Cancel out (2x-1) which appears on both sides of the fraction line.
Final result :
5x2 + x - 3
The quotient when 10x³-3x²-7x+3 divided by 2x-1 is -21/8.
To calculate the quotient of the equation 10x³-3x²-7x+3 when it is divided by 2x-1, we use the quotient theorem.
Remainder theorem
The quotient theorem states that if f(x) is divided by x-a, then the remainder is f(a).
From the question,
Given:
f(x) = 10x³-3x²-7x+3............. Equation 1diveded by 2x-1The quotient is f(1/2), we substitute the value of x as 1/2 into equation 1
f(1/2) = 10(1/2)³-3(1/2)²-7(1/2)+3f(1/2) = (10/8)-(3/4)-(7/2)+3f(1/2) = -21/8Hence, The quotient when 10x³-3x²-7x+3 divided by 2x-1 is -21/8.
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Please help me, thanks!
Answer:
Algebraic expression for 75 less than twice Mabel's score is 2m-75
Step-by-step explanation:
We need to translate the phrase 75 less than twice Mabel's score into algebraic expression.
Translating into algebraic expression
Let m represent Mabel's score
Twice Mabel's score = 2m
75 less than Twice Mabel's score = 2m-75
So, algebraic expression for 75 less than twice Mabel's score is 2m-75
What do the angles of a triangle add up to? If 2 angles are 34 and 18, what is the third angle?
Answer:
The third angle is 128 degrees
Step-by-step explanation:
The interior angles of a triangle add up to 180 degrees, therefore we can set up the equation x+34+18=180 to find the missing angle. Solving the equation gets us x=128
Answer:
Angles of a triangle add up to 180 degrees. The third angle would be 128 degrees.
Step-by-step explanation:
34 + 18 = 52
180 - 52 = 128
Riddle - You enter a room. 2 dogs, 4 horses 1 giraffe and a duck are lying on the bed. 3 chickens are flying over two chairs. How many legs are on the ground?
Answer:
Trick question, either 8 legs because of the two chairs or none.
Step-by-step explanation:
The dogs and everything aren't on the ground. I think the anwser is either 8 or none.
Answer:
The number of legs on the ground are 10.
Step-by-step explanation:
Given information:
2 dogs , 4 horses and 1 giraffe and a duck are laying on the bed.
3 chickens are flying over two chairs .
Now, in the riddle the specific type of leg is not mentioned but the information is given about the bed and chair.
So, one need to consider the legs of bed and chair too, also the person entering in the room is on the ground so the legs of the person will also be counted.
Hence, total number of legs on the ground will be:
legs of (1 bed + 2 chairs + 1 person)
Hence
Number of legs (N) = 4+8+2
N=10
Hence, the number of legs on the ground are 10.
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Maya will deposit $1,650 in an account that earns 5% simple interest every year. Her brother, James, will deposit $1,600 in an account that earns 8% interest compounded annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Compare and contrast the two siblings' accounts after four year
Answer:
each year james gets 3% more interest than maya. over 4 years james gets 34% interest and maya gets 20%. over 4 years james gets 16% more than maya
Step-by-step explanation:
Calculate the angles of an isosceles triangle that
has sides of length 9 cm, 9 cm and 14 cm.
Answer:
Step-by-step explanation:
(Please help, Multiple Choice) Find the value of X
Answer:
X=19
Step-by-step explanation:
7x-8=6x+11
x=19
Helpppppppppppppppppppp
Answer:
Step-by-step explanation:
How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 80% antifreeze?
Answer:
The amount of water to be added is ¹/₄ gallon
Step-by-step explanation:
Given;
amount of pure antifreeze at 100% = 1 gallon
let the amount of water to be added with 0% antifreeze = (x) gallon
then, the amount of mixture at 80% antifreeze = (x + 1) gallon
For conservation of mass, we will have the following equation;
(1 x 1) + (0)(x) = 0.8(x +1)
1 = 0.8x + 0.8
0.8x = 1 - 0.8
0.8x = 0.2
x = 0.2 / 0.8
x = ²/₈
x = ¹/₄ gallon
Therefore, the amount of water to be added is ¹/₄ gallon
An 8-pack of batteries costs $9.44
What is the price in dollars, of one battery?
Answer:
1.18
Step-by-step explanation:
First we have established that 9.44 is the total, and we know that there are 8 batteries in each pack. This is a problem of division.
By first identifying key words like each and total, you can safely assume it will be a division problem.
First step: Dividing the total with the number of batteries in the singular pack gives you a valid answer
9.44÷8=1.18
Second step: To make sure you didn't miscalculate, you can use: 1.18×8, which is equal to the total.
GIVING OUT BRAINLIETS!!
Please help!! ASAP thanks
Can anybody help me it’s due right now at 2:00pm please will mark the brainiest please
A desk is 2 meters long and 1 meter wide. The desk needs to be represented in a scale drawing of an office that uses a scale of 1 centimeter = 0.5 meter. What are the dimensions of the desk in the drawing?
Answer:
Thus, the dimensions of the desk in the drawing are 4 cm long and 2 cm wide.
Step-by-step explanation:
Scaling
The scale factor established to represent a desk 2 meters long and 1 meter wide is:
1 centimeter = 0.5 meter
We need to convert the real dimensions to the scaled dimensions. To complete the task, it's a good idea to multiply the real dimensions by the ratio:
[tex]\displaystyle \frac{1\ cm}{0.5\ m}[/tex]
to get the scaled dimensions.
The length of 2 meters is scaled to:
[tex]\displaystyle 2\ m\frac{1\ cm}{0.5\ m}=4\ cm[/tex]
And the width of 1 meter is scaled to:
\displaystyle 1\ m\frac{1\ cm}{0.5\ m}=2 cm
Thus, the dimensions of the desk in the drawing are 4 cm long and 2 cm wide.
Ms. Drevis' garden has lots of apple trees. 120 apples fall on ground in 30 seconds. How many
apples fall in one second?
Answer:
the answer would be 4
Step-by-step explanation:
because 120 divided by 30 is 4
Answer:4 apples fall per second/ in one second
Step-by-step explanation:
4 x 30 = 120
120 / 30 = 4
If it takes 7.1 pounds of seed to plant one acre of grass, how many acres can be planted with 9.94 pounds of seed?
Answer:
70.574
Step-by-step explanation:
7.1 × 9.94= A
9.94
7.1
-------
70.574
A= 70.574
(when multiplying decimals do not line up the dot and solve it as if there was no decimals point. when you get your answer count the amount of digits on the right side of the number going to the left on your answer.
in this case there are three digits on the right side of the decimals you count three spaces to the left of your answer wich is 574. put the decimal point infront of the 5 and you get you answer. 70.574
I'm not too sure on this one
100 POINTS PLEASE HELP
Please be accurate with this too.
Answer:
The answer is A :)
Step-by-step explanation:
Suppose that there are 327 members of a professional organization, of which 164 are over the age of 50. What is the probability that a randomly selected member of the organization is over the age of 50?
Answer:
0.502
Step-by-step explanation:
There are 327 members of a professional organization, of which 164 are over the age of 50.
The probability that a randomly selected member of the organization is over the age of 50 is calculated as:
Probabilty = 164 members/327 members
= 0.501529052
Approximately = 0.502
Therefore, the probability of the randomly selected member is over the age of 50 is 0.502.
Please help its due at 11:05
Answer:
-2 or -3 or even -4
Any number from -9 to -1 would be greater than -10
Consider the reduction of the triangle.
A triangle has side lengths 10 centimeters, 85 centimeters, and 62 centimeters. A smaller triangle has side lengths A, B, 6.2 centimeters.
Use the measurements of the original figure and the scale drawing to calculate the scale factor and missing measures.
What is the scale factor? 1/10
What is the length of A? 1
What is the length of B? 8.5
Answer:
What is the scale factor? 1/10
What is the length of A? 1
What is the length of B? 8.5
Step-by-step explanation:
The scale factor and missing measures are 1/10, A = 1, B = 8.5
What is scale factors?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
Given are measurements of two triangles, we need to find the missing sides and the scale factors,
So, the scale factor = new measurement / original measurement = 6.2/62 = 1/10
Now, using the definition of the similar triangles, the ratio of the corresponding sides are equal,
62/6.2 = 85/B
10 = 85 / B
B = 8.5
Now,
62/6.2 = 10/A
10 = 10/A
A = 1
Hence, the scale factor and missing measures are 1/10, A = 1, B = 8.5
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Juan, Paco, Gus and Brad ran a race. Juan ran it in 15 minutes. Paco's time was 3 minutes faster than Juan's. Pedro's time was 1 more minute more than Paco's. Brad's time was 5 minutes slower than Pedro's. which f the boys won the race?
A. Juan
B. Paco
C. Gus
D. Brad
What is the value of x in the equation 0.7x – 1.4 = –3.5?
–7
–3
3
7
Answer:
-3
Step-by-step explanation:
0.7x-1.4=-3.5
Add 1.4 to both sides:
0.7x=-2.1
Divide 0.7 from both sides:
x=-3
If the coefficient of determination for a data set containing 9 points is 1, how
many of the data points must lie on the regression line for the data set?
O A. 9
OB. 8
O C. 6
O D. 7
Answer: A
Step-by-step explanation:
The coefficient of determination is a number between 0 and 1 used to measure the level of precision with which the regression model created fits the data. A measure of means that the model explains the entire variation between the two variables without error.
Therefore, in this case, if means that the 9 points are on the line
Answer:
Therefore, in this case, it means that the 9 points are on the line
Step-by-step explanation:
A person on a moving sidewalk travels 56 feet in 8 seconds. The moving sidewalk has a length of 210 feet. How long will it take to move from one end to the other?
**please help me **
Answer:
1470 seconds
Step-by-step explanation:
56=8 seconds
1 second= 56÷8=7
Ans=7×210=1470
A new sports stadium has 5,900 seats. Elena said that she could rename the
number of seats as 4 thousand and some hundreds. How many hundreds does
Elena need to write in the name 5,900?
Answer:
If your doing 4 thousand and some hundreds then the answer is 19 hundred, But if your doing just hundreds the answer is 59 hundreds.
Step-by-step explanation
5900/100 = 59
The graph of f(x)=-vx is shifted to the right five units.
What is the domain?
Answer:
All x-values larger than or equal to 5 ([tex]x\geq 5[/tex])
Step-by-step explanation:
Notice that the graph of
[tex]f(x)=-\sqrt{x}[/tex]
is defined for all real x-values larger than or equal to zero, since the square root is defined only for such values.
When we shift the graph to the right 5 units, the function becomes:
[tex]f(x)=-\sqrt{x-5}[/tex]
then the radicand x-5 must be larger than or equal to 0 in order to render real values. Then we have:
[tex]x-5\geq 0\\x\geq 5[/tex]
which means that now the Domain becomes the following set (in set builder notation):
[tex]Domain=\left \{ x\,|\,x\geq 5 \right \}[/tex]