the correct answer is 4.05
Which expression would be easier to simplify if you used the commutative property to change the order of the numbers? A. 30+(-12)+70 B. -10 +(-20) + 1/2 C. 60+40+(-25)
Answer: A
Step-by-step explanation:
Ok, some that we always try to do in math is to look for "nice" numbers.
The nice numbers are numbers that are easy to work with.
Examples of these are numbers like 10, 100, etc.
suppose the next example:
9 + 3 + 1 + 7
That may seem a long addition, but we can rearange the numbers in such a way to get:
(9 + 1) + ( 3 + 7) = 10 + 10 = 20
This is specially useful when doing mental calculus.
In the given options, we have:
A) 30 + (-12) + 70
Doing it straightforward, we must:
Subtract 12 from 30, which will give us a not nice number.
30 - 12 = 18
And now add 70 to that:
18 + 70 = 88.
Now, we could use the commutative properety and get:
30 + (-12) + 70 = 30 + 70 + (-12)
in this way, in the first addition we get to 100, and then we subtract 12 units.
(30 + 70) + (-12) = 100 - 12 = 88.
Then the correct option is A.
Find the standard deviation, , for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth. n503; p0.7
Answer: 10.28
Step-by-step explanation:
For the binomial distribution ,
standard deviation : [tex]\sigma=\sqrt{p(1-p)n}[/tex], where p = population proportion, n = sample size.
Given: n= 503 and p=0.7
Then, [tex]\sigma=\sqrt{503\times0.7(1-0.7)}=\sqrt{105.63}\approx10.28[/tex]
Hence, the standard deviation = 10.28
What set of reflections and rotations would carry rectangle ABCD onto itself? Trapezoid formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at negative 1, 2, D at 0, 1. Rotate 180°, reflect over the x‒axis, reflect over the line y = x Reflect over the y-axis, reflect over the x‒axis, rotate 180° Rotate 180°, reflect over the y-axis, reflect over the line y = x Reflect over the x‒axis, rotate 180°, reflect over the x‒axis
Answer:
Hey bud the answer is: Reflect over the y-axis, reflect over the x‒axis, rotate 180°
Got the same question on the test. Sorry about the inconvienience of the other person.
Step-by-step explanation:
Reflect over the y-axis, reflect over the x-axis, and rotate 180° will be the same. Then the correct option is B.
What is a reflection?It is the image of the point which is located in the opposite direction of a given point.
The trapezoidal ABCD is shown.
The trapezoidal ABCD rotated 180 degrees about the origin then it is reflected about the x-axis and y-axis. Then the image will remain the same.
More about the reflection link is given below.
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Emir's living room is 5 yards wide and 8 yards long. He wants to install blue
carpet that costs $4.00 per square yard. How much will it cost to buy enough
carpet for the living room?
Answer:
$160.00
Step-by-step explanation:
Faith practices the piano 1785 minutes in 5 weeks. At what rate did she practice, in minutes per day?
Answer:
51 minutes of piano practice a day for 5 weeks
Step-by-step explanation:
what is equivalent to X3. X3.X2
Answer:
X6. X2
Step-by-step explanation:
3 (j - 1) + 8 < 2
Please solve this do not know the answer I need answer before 9:00
Answer:
j < -1
Step-by-step explanation:
3 (j - 1) + 8 < 2
Distribute
3j -3 +8 < 2
Combine like terms
3j +5 < 2
Subtract 5 from each side
3j+5-5 < 2-5
3j < -3
Divide each side by 3
3j/3 < -3/3
j < -1
Answer:
I < -6 1/3
Step-by-step explanation:
2 divide 3
Subtract 8
Add 1
Susan has a collection of 50 nickels and dimes. If the number of nickels is four times the number of dimes, how many nickels and how many dimes does she have?
Answer:
Susan has:
40 nickels & 10 dimes
Step-by-step explanation:
Since she has a total of 50 nickles and dimes I knew that it could be separated into 5 sets of 10. Knowing that 4(10) is equal to 40+10 is equal to 50, I used the 10 for the amount of dimes and used 40 for the amount of nickles. So the nickles (40) are 4 times the dimes (10). We can prove this by multiplying the dimes by 4 (4(10)) and you get 40 and add on the 10 you get the total amount of 50.
I hope this helps:)
There are 40 nickels and 10 Dimes.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let N be the number of nickels
Let D be the number of dimes
Susan has a collection of 50 nickels and dimes.
N + D =50...(1)
Number of nickels is four times the number of dimes
N = 4D
Substitute N in equation 1
4D+D=50
5D=50
Divide both sides by 5
D=10
Now put D value in equation 1
N+10=50
Subtract 10 from both sides
N=40
Hence, there are 40 nickels and 10 Dimes.
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At age 23, someone sets up an IRA (individual retirement account) with an APR of 8%. At the end of each month he deposits $35 in the account. How much will the IRA contain when he retires at age 65? Compare that amount to the total deposits made over the time period
Answer:
FV= $146,002.59
Step-by-step explanation:
Giving the following information:
Monthly deposit= $35
Number of periods= (65 - 23)*12= 504 months
Interest rate= 0.08/12= 0.0067
To calculate the future value, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
FV= {35*[(1.0067^504) - 1]} / 0.0067
FV= $146,002.59
Find the zero of the function f(x)=4x^2-12x+9
Answer:
x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
f(x) = 4x² - 12x + 9
To obtain the zero let f(x) = 0 , that is
4x² - 12x + 9 = 0 ← in standard form
(2x - 3)² = 0 ← in factored form , then
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
The zero of the function f (x) = 4x² - 12x + 9 will be 3/2.
What is Quadratic polynomial?
A polynomial which has highest power 2 is called a quadratic polynomial.
Given that;
The function is;
f (x) = 4x² - 12x + 9
Now, To find zero of the function we equate the function to zero.
We get;
f (x) = 4x² - 12x + 9
4x² - 12x + 9 = 0
Solve the function by quadratic formula we get;
x = - (-12) ± √12² - 4 × 4 × 9 / 2 × 4
x = 12 ± √144 - 144 / 8
x = 12 ± 0 / 8
x = 12/8
x = 3/2
Thus, The zero of the function f (x) = 4x² - 12x + 9 will be 3/2.
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Compare using >, =, or < 3 -3
Answer:
3>-3
Step-by-step explanation:
3 is larger than -3
Logan is 8 years older than 4 times the age of his nephew. Logan is 32 years old. How old is his nephew?
Answer:
the nephew is 6.
Step-by-step explanation:
4n+8=32
n=6
Answer:
6 years old
Step-by-step explanation:
We can create an equation for Logan's age using the given information. Let's set the age of Logan's nephew to be x. The expression for Logan's age will look like:
Logan = 4x + 8This expression tells us that Logan is 4 times the age of his nephew, plus 8 years.
Now, we are given Logan's actual age: 32. We can substitute this value into "Logan" in our equation for Logan's age.
32 = 4x + 8To finalize this problem we will solve for "x" to find the age of Logan's nephew.
Subtract 8 from both sides of the equation.
24 = 4xDivide both sides of the equation by 4.
6 = x x = 6Therefore, we know that Logan's nephew is 6 years old.
help and explain!!!
Answer:
the difference is 60 because 55 - 60 = -5
Step-by-step explanation:
In ΔUVW, \overline{UW} UW is extended through point W to point X, \text{m}\angle UVW = (3x+4)^{\circ}m∠UVW=(3x+4) ∘ , \text{m}\angle VWX = (8x-12)^{\circ}m∠VWX=(8x−12) ∘ , and \text{m}\angle WUV = (x+20)^{\circ}m∠WUV=(x+20) ∘ . What is the value of x?X?
Answer:
The value of x is 9°
Step-by-step explanation:
The given parameters are;
ΔUVW with side UW extended to X
m∠UVW = (3x + 4)°
m∠VWX = (8x -12)°
m∠WUV = (x + 20)°
We have that m∠UVW + m∠WUV + m∠VWU = 180° (Sum of the interior angles of a triangle theorem)
∴ m∠VWU = 180° - (m∠UVW + m∠WUV)
Also we have that m∠VWX and m∠VWU are supplementary angles, (The sum of angles on a straight line)
∴ m∠VWX + m∠VWU = 180° (Definition of supplementary angles)
m∠VWU = 180° - m∠VWX
∴ m∠VWX = (m∠UVW + m∠WUV)
Substituting the values, gives;
(8x -12)° = (3x + 4)° + (x + 20)°
8x - 3x - x = 4 + 20 + 12
4x = 36
x = 36/4 = 9
x = 9°.
The rate of change for a vertical line is zero.
Answer:
Not a question, and also incorrect (sorry)
Step-by-step explanation:
The rate of change for a vertical line is undefined.
The rate of change for a HORIZONTAL line is 0
Theoretically, the rate of change for a vertical line is not zero it is undefined.
What is the average rate of change?It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.
Zero rates of change refer to a quantity that does not fluctuate over time.
But bear in mind these two separate circumstances: Horizontal lines have a slope of 0 since the vertical change is 0.
As 0 cannot be split into any integer, there is no slope for vertical lines since there is no horizontal change.
Because of this, the rate of change for a vertical line is not zero but rather is unknown.
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Select all the expressions that are equivalent to (–60) ÷ 5.
(60)÷(−5)
(−60)÷(−5)
(−60)×15
(60)×(−15)
(−60)÷(−15)
group pf 8 students was asked How many hours of television did you watch last week ? here are their responses ( 11, 19, 18, 17, 5, 19, 16, 19) Find the mean and median number of hours for these student, If necessary round to the nearest tenth
Answer:
Median is 17.5. Mean is 15.5
Step-by-step explanation:
Median is the middle number when ordered from smallest to largest. In this case 17 and 18 are the middle numbers so you split them. Median is the same as the average. Add all the numbers up ( They add to 124) and divide by the total number of responses (8 responses)
An adoption center has 20 dogs available. The adoption center is running a special on low cost adoptions if customers came friday, saturday, or sunday. 14 of the customers came on friday, 18 of the customers came on saturday, and the rest came on sunday. How many customers came on sunday?
Answer:
It would be Only 2 customers that can on Sunday
(3, -1); m = -2 that for algebra
Answer:
no its not
Step-by-step explanation:
Answer:
[tex]m = - 1[/tex]
m=-1
1. An industrial machine is able to make 30 pens in 5 seconds. What is the rate made per second?
2. A fair owner made 8 dollars when a group of 2 people entered, which is a rate of ___ dollar per person.
3. A bouquet had 6 flowers and sold for $30, which is a rate of $___ per flower
4. It took a pet store 7 weeks to sell 56 cats. What is the rate sold per week?
5. During the lunch rush a fast food joint sold 10 sodas and earned $50, which is a rate of ___ dollars per soda.
6.Cody earned $50 for mowing 5 lawns. What is the rate earned per lawn mowed?
7. A jogger travelled 14 kilometers in 2 days. What is the rate he travelled per day?
8. A toy company used 8 pints of plastic to make 4 action figures, which is a rate of ___ pints per figure.
9. A scientist used 6 gallons of liquid for every 8 hours he works. He uses ____ of a gallon each hour he works.
NEED ALL ASAP PLZ
Eight out of 10 dentists prefer Crest toothpaste. What is the ratio of dentists who do not prefer Crest to those who do?
Answer:
1:4 or 1/4
Step-by-step explanation:
8 prefer it, and 10-8 = 2 do not
so, 2:8. simplify to 1:4
hope this helps! :)
Cual es la mitad de 13.98
Answer:
Step-by-step explanation:
[tex]\frac{13.98}{2}= 6.99[/tex]
Divide 1398 by 2 and in the answer keep 2 decimal point ot the left
Dave and Steve are 700 meters apart from each other on a straight path. Both start walking toward each other and meet each other after 7 minutes. Dave covers a distance of x meters in one minute, which is 20 meters less than the distance Steve covers in a minute. Which of these equations can be used to find the rate at which Steve and Dave walk?
Options :
A. 7x -(7x+20)=700
B.7x + 7(x+20) =700
C. 7x + (7x-20)=700
D.7x - 7(x-20) =700
Answer:
B.) 7x + 7(x+20) =700
Step-by-step explanation:
Given that :
Dave and Steven are 700m apart
They start walking towards each other and meet after 7 minutes
Distance covered by Dave per minute = x
Distance covered by Steven per minute = x + 20
rate = distance per minute
Dave's rate = x / minute
Steven's rate = (x + 20) / minute
Distance = rate * time
Distance covered by DAVE :
X /min * 7 = 7x
Distance covered by STEVEN :
(x + 20) * 7
= 7(x + 20)
Hence, the sum of distances covered by both Dave and Steven should add up to the total distance :
7x + 7(x + 20) = 700
Need help plz! Will give brainliest
Answer:
option no D. (-4,13) because zero ka Koi value Nahi hota hai or one ka bhi utna value nahi hota hai OK
The formula to compute the current value of an investment is A = P (1 + r)n, where A is the value of the investment; P is the amount invested; r is the annual rate of return expressed as a decimal; and n is the number of years the amount is invested. If a woman invests $5,000 and the annual rate of return is 8 %, what is the value of the investment after 15 years? A. $2,000 B. $5,400 C. $10,882 D. $15,861 E. $21,499
Answer:
$15860.5
Step-by-step explanation:
given data
principal= $5000
rate= 8%= 0.08
time =15years
We know that the expression for the final amount is
A=P(1+r)^t
substituting we have
A = 5000(1 + {0.08)^15
A=5000(1.08)^15
A=5000*3.1721
A= 15860.5
$15860.5
What is another word for initial value?
Answer:
Synonyms for initial. basic. introductory. original. antecedent. commencing. first. fundamental. germinal.
Step-by-step explanation:
help me please !!!!!!
Answer:
yes the answer is C ! none of the other answers are logical
Is this parallel perpendicular or neither please help
Answer:
Parallel
Step-by-step explanation:
Answer:
pretty sure they're parallel, sorry if I'm incorrect ^^''
What are the approximate solutions of 4x^2+3=-12
Answer:
yeet
Step-by-step explanation:
Answer:
yesjdjdhhdbbsszussksjdhdnd d92874
Find the distance between -433 and 237 on the number line.
Answer:
670
Step-by-step explanation:
433+237=670
because to find it you are supposed to subtract like this
x-y
but for this equation, it will look like this
237-(-433) (Negative times negative is always positive)
which is 433+237 which is 670
Hope this helps!