Answer:
Step-by-step explanation:
15x = 3·5·x
30y = 2·3·5y
The common factors are 3 and 5.
Greatest common factor = 3·5 = 15
A hardware store rents vacuum cleaners that customers may use for part or all of a day before returning. The store charges a flat fee plus an hourly rate. Write a linear function for the total rental cost, f(x), of a vacuum cleaner after x hours of rental. *
Answer:
f(x) = bx + y
Step-by-step explanation:
Linear functions are very easy as you simply need to multiply the cost per hour (in this scenario) by the total number of hours that the individual is renting the vacuum for. Then you simply add any indpendent value such as the flat fee that the hardware store charges. We can use these values to create the following function.
f(x) = bx + y
where:
b = hourly rate
x = hours of rental
y = flat fee
Select all the correct answers.
Janine needs to calculate the value of log , 81
Which expressions could she input into her calculator to find this value?
In 81
12
✓
in 81
In 12
log 81
log 12
log 81
In 12
log 12
log 81
Answer:
In 81 / In 12 ;
log 81 / log 12
Step-by-step explanation:
Log 12 81
Log 81 base 12
According to rule of logarithm :
Log 81 base 12 = (log 81 base 10) / log 12 base 10)
Obtaining the value :
(log 81 base 10) / log 12 base 10) = 1.7684564
Using trial and error method :
log 81 / In 12 = 0.7680308
In 81 / In 12 = 1.7684564
In 81 / 12 = 0.3662040
Hence, the correct answers are :
In 81 / In 12
log 81 / log 12
A university lecture hall has 100 seats. During class, 30% of the seats are empty. How many students are attending class?
Answer:
70 students are attending class
Step-by-step explanation:
100% - 30% = 70%
Answer:
70 students
Step-by-step explanation:
100=100% so -30 to get 70 students
Please help ASAP!!!!!!!!
Answer:
A=hb3/2
Step-by-step explanation:
A=1/2(hb1+hb2)
A=hb1+hb2/2
A=hb3/2
Akiko shot 204 baskets in 17 minutes. Find her basket rate in baskets per minute
Answer:
204/17
Step-by-step explanation:
and then you should get your answer
Answer:
12 baskets/per minute
Step-by-step explanation:
so u know that she can shoot in 204 baskets in 17 u just need to take 204 divided by 7 to figure out how many she makes per minute. ( 204 ÷ 7 = 12 )
Solve (2x - 1)^2 = 9.
A. X = 2, -1
B. X = -2,1
C. x = -2, -1
D. X = 2,1
Answer:
x=2, -1
Step-by-step explanation:
what id the differance between 10 and 12?
Answer:
2
Step-by-step explanation:
Answer:
The answer is 2
Step-by-step explanation:
at least I think it is
Factor each expression, if possible. Identify any special cases, such as the difference of squares or a perfect square trinomial xy-4y+2x-8
Answer:
[tex]xy-4y+2x-8 = (y + 2)(x-4)[/tex]
Step-by-step explanation:
Given
[tex]xy-4y+2x-8[/tex]
Required
Factor the expression
[tex]xy-4y+2x-8[/tex]
Group the expression
[tex](xy-4y)+(2x-8)[/tex]
Factor each group
[tex]y(x-4)+2(x-4)[/tex]
This gives:
[tex](y + 2)(x-4)[/tex]
Hence:
[tex]xy-4y+2x-8 = (y + 2)(x-4)[/tex]
Which of the expressions are equivalent to the one below? Check all that apply.
4 • (8 + 3)
A. (4 • 8) + 3
B. (8 + 3) • 4
C. 4 • (3 + 8)
D. 4 • 8 + 4 • 3
Step-by-step explanation:
We need to find an expression that is equivalent to 4×(8+3)
We know that,
4×(8+3) = 4(11) = 44
Option (1).
(4 • 8) + 3 = 32+3 = 35. It is incorrect
Option (2).
(8 + 3) • 4 = (11) 4 = 44. It is correct.
Option (3).
4 • (3 + 8) = 4(11) = 44. It is correct.
Option (4).
4 • 8 + 4 • 3 = 32+12 = 44. It is correct.
Hence, the correct options are (2), (3) and (4).
Write an equation in slope
intercept form that passes
through (-5, -4) and
(-2,-7).
Answer:
y = x + 1
Step-by-step explanation:
slope/m = -3/3 = -1
b/y-inter = 1
pls help
I suck at this
Answer:
65
Step-by-step explanation:
We know that one angle is 50 degrees, so the angle supplementary to it will be 180-50, or 130 degrees.
Since these two lines are parallel, then the angle supplementary to 2x will be equal to 50 degrees, giving us 2x = 130 degrees, and x = 65 degrees.
Let me know if this helps!
Please. help me guys.
Answer:
40
Step-by-step explanation:
there are 4 quarters so if one quarter is 10 then 4 quarters are 40
10 x 4 = 40
Ken door is 2.29 meters tall. How many centimeter tall is his door
Answer:
229
Step-by-step explanation:
write an equation in point slope form of the line that passes through the point (-8,-2) and had a slope of m=5
Answer:
5x - y + 38 = 0
Step-by-step explanation:
solution:
slope(m) = 5
(x1 , y1) = (-8 , -2)
we know that,
(y - y1) = m(x -x1)
or, (y - -2) = 5(x - -8)
or, y+2 = 5(x + 8)
or, y+2 = 5x +40
or, 5x - y + 38 = 0 is the required equation
Lee Jenkins worked the following hours as a manger for a local Pizza Hut 16 1/4, 5 3/4, and 7 1/2 how many total hours did lee work
Answer:
29.5 total hours.
Step-by-step explanation:
Answer:14 1/4+5 1/4+ 8 1/2+ 7 1/4
Step-by-step explanation:
Jason is making pumpkin bread. He needs 4 cups of pumpkin for every 3 cups of sugar. What is the ratio of cups of sugar to cups of pumpkin that Jason will need?
A. 3 to 4
B. 4 to 3
C. 4 to 7
D. 7 to 3
Answer:
3 to 4 - A
Step-by-step explanation:
find the length of side AB and the measure of angle E.
Answer:
c
Step-by-step explanation:
.Joseph drove 130 miles in 2.5 hours. Which equation can be used to
calculater, the average speed at which Joseph drove?
A . r=130-2.5
B.r=130/2.5
C.130=r/2.5
D.130=r+2.5
Answer:
c
Step-by-step explanation:
PLEASE GIVE BRANLIEST
The expression 10s+5m represents a student’s score on a social studies test, where s = the number of correct short answer items and m = the number of correct multiple choice items. Noor answers 16 multiple choice items correctly. She does no answer any short answer items correctly. What is Noor’s score?
A. 31
B. 15
C. 80
D. 160
Can you explain how u got 31?
what is the radius with an area of 2.25cm squared?
Answer:
9 centimeters He said squared And radius...
(づ￣ ³￣)づHave a nice day
The downtime per day for a computing facility has mean 4 hours and standard deviation .8 hour. Suppose that we want to compute probabilities about the average daily downtime for a period of 30 days.
i. What assumptions must be true to use the result of Theorem 7.4 to obtain a valid approximation for probabilities about the average daily downtime?
ii. Under the assumptions described in part (i), what is the approximate probability that the average daily downtime for a period of 30 days is between 1 and 5 hours?
Answer:
1
Step-by-step explanation:
Given :
Mean, μ = 4
Standard deviation, s = 0.8
Sample size, n = 30
The distribution is independent.
Z = (x - μ) / s /sqrt(n)
Probability that downtime period is between 1 and 5
P(1≤ x ≤ 5) :
[(x - μ) / (s /sqrt(n))] ≤ Z ≤ [(x - μ) / (s /sqrt(n))]
[(1 - 4) / (0.8 /sqrt(30))] ≤ Z ≤ [(5 - 4) / (0.8 /sqrt(30)]
[-3 / 0.1460593] ≤ Z ≤] 1 / 0.1460593]
P(-20.539602 ≤ Z ≤ 6.8465342)
P(Z ≤ 6.8465342) - P(Z ≤ - 20.5396)
P(Z ≤ 6.8465342) = 1 (Z probability calculator)
P(Z ≤ - 20.5396) = 0 (Z probability calculator)
1 - 0 = 1
Evaluate:
65−15÷5 +(−19)
Answer:
43
Step-by-step explanation:
65-15/5+(-19)
65-3+(-19)
62-19=43
Select the expression equivalent to -81 x + 27.
A -9(9 x - 3)
B -9(-9 x - 3)
C 3+ (-27 x +9)
D -3(-27 x +9)
Answer:
B -9(9x-3)
Step-by-step explanation:
b/c -9(9x-3) means -9×9x-(-3)
= -81x+27
if you say why -(-3) is +27, I will say b/c negative times negetive it give us positive. and if you they why we don't add -81x and 27, I will say b/c they are not like terms.
like terms : are terms with the same variable and same exponent.
example:2x and 3x,5xy and 9yx and etc....
if it helpful ❤❤
THANK YOU
The student council raised $2,790 during its annual fundraiser. The money was shared equally among the Events Committee, the Sports Committee, and the Sunshine Committee. a. The Sports Committee wants to use its share of the money to purchase t-shirts. If each t-shirt costs $12, what is the greatest number of t-shirts the Sports Committee can purchase? The greatest number of t-shirts that the Sports Committee can purchase is .
Answer:
The greatest number of t-shirts that the Sports Committee can purchase is 232.
Step-by-step explanation:
The student council raised $2,790 during its annual fundraiser.
Each t-shirt costs $12.
The total cost of buying x t-shirts is given by:
[tex]T(x) = 12x[/tex]
What is the greatest number of t-shirts the Sports Committee can purchase?
The total cost has to be lesser, or equal, to 2790. So
[tex]T(x) \leq 2790[/tex]
[tex]12x \leq 2790[/tex]
[tex]x \leq \frac{2790}{12}[/tex]
[tex]x \leq 232.5[/tex]
Since you cant buy half a shirt.
The greatest number of t-shirts that the Sports Committee can purchase is 232.
the ratio lf twizzlers to peanut butter cups in a candy bowl is 3 to 8 create a ratio table that represents this relationahip. Include at least 5 entries that compare the number of twizzlers and peanut butter cups in the candy bowl.
T PB
3 8
6 16
9 24
12 32
15 40
When one increases the other increases, so you multiply them both by 2 to get the first column, 3 for the third, 4 for the fourth, and finally 5 for the fifth. Which gives you T as 3, 6, 9, 12, and 15 while PB is 8, 16, 24, 32, and 40. These are your 5 entries.
help help help help help
Answer:
0.1944
Step-by-step explanation:
What is the domain for the equation x = -2?
Pentagon VWXYZ below has an interior angle sum of 540°. Pentagon V W X Y Z. Angle Z is 94 degrees, angle Y is 120 degrees, angle X is 120 degrees, angle W is 94 degrees, and angle V is unknown. What can be determined about Angle V? Angle V is a right angle that measures 90°. Angle V is an acute angle that measures less than 90°. Angle V is a straight angle that measures 180°. Angle V is an obtuse angle that measures 112°.
Answer:
D.) <V is an obtuse angle that measures 112.
yw ig
Answer:
D
Step-by-step explanation:
yes
the sides of a triangle can be represented by 2x, 4x-7, 16+x. If the perimeter is 65, whats the length of the shortest side of the triangle?
how do i write 0.87 in words
zero pint eight seven ......