Step-by-step explanation:
Let x = log7(49^w).
We have 7^x = 49^w.
=> 7^x = (7^2)^w
=> 7^x = 7^2w.
=> x = 2w.
Therefore log7(49^w) = 2w.
Which expression has like terms?
6r+4s
6x−4x
6x+6y
6r−6
Answer:
6x - 4x
Step-by-step explanation:
Daniel has 120 dollars in the bank. He is earning 3.5% compound interest each month. How much money will he have in the bank in one year?
Answer:
$1813.28
Step-by-step explanation:
Answer:
$124.27
Step-by-step explanation:
A = Principal(1 + r/n)^nt
r = interest rate
n = # times compounded
t = # years
A = 120 (1 + .035/12)^12(1)
A = 120(1 + .0029)^12
A = 120(1.0029)^12
A = 120 x 1.0353
A = 124.27
The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was observed over a long period of time to be approximately normally distributed, with mean μ = $633 and standard deviation σ = $45.
(a) If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount? (Round your answer to four decimal places.)
(b) How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.09? (Round your answer to the nearest dollar.)
$
Answer:
(a) 0.3863
(b) $693
Step-by-step explanation:
Mean μ = $633
Standard deviation σ = $45.
(a) If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount? (Round your answer to four decimal places.)
We solve this question using the z score formula
z = (x-μ)/σ
where:
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x > $646
z = $646 - $633/$45
z = 0.28889
Probability value from Z-Table:
P(x<646) = 0.61367
P(x>646) = 1 - P(x<646) = 0.38633
Approximately = 0.3863
The probability that the actual costs will exceed the budgeted amount is 0.3863
(b) How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.09? (Round your answer to the nearest dollar.
Let the budgeted amount = x
Converting 0.09 to percentage = 0.09× 100% = 9%
100 - 9% = 91%
We find the z score of 91%
= 1.341
We are to find x
Using z score formula
z = (x-μ)/σ
1.341 = x - 633/45
Cross Multiply
1.341 × 45 = x - 633
60.345 = x - 633
x = 60.345 + 633
x = $693.345
Approximately to the nearest dollar is $693
HHHHHHEEEEEELLLLLPPPPPP!!!!!!!!!
Step-by-step explanation:
Area of Glass surface
= Area of Parallelogram - Area of Rectangle
= (20in * 16in) - (4in * 16in)
= 256in².
Hence it is 256 square inches.
P.S. Question photo got changed, ignore this.
Answer: The area of the figure is 32 square
plz mark brainly
Write an equivalent expression. 7(x+2)
Answer:
1(7x+2)
Step-by-step explanation:
Sorry I'm not really good at explaining....
which of the following is parallel to 8x+3y=1?
1. 3x-8y=1
2.3x+8y=5
3. 8x-3y=2
4.16x+6y=1
Answer:
4.16x+6y=1
Step-by-step explanation:
The given equation of the line is:
8x + 3y = 1
From this line, we need to re-arrange and write in the form of the equation of a straight line.
The equation of a straight line is given as:
y = mx + c
8x + 3y = 1
3y = -8x + 1
y = [tex]\frac{-8x}{3}[/tex] + [tex]\frac{1}{3}[/tex]
The slope of the line is [tex]\frac{-8}{3}[/tex]
Any line from the given choices that will be parallel to the is must have the same slope as it is.
That line is 16x + 6y = 1
6y = -16x + 1
y = [tex]\frac{-16x}{6}[/tex] + [tex]\frac{1}{6}[/tex]
y = [tex]\frac{-8x}{3}[/tex] + [tex]\frac{1}{6}[/tex]
answered
A swimming pool containing 2000l of water is 1/16 full. How many litres of water is required to make the pool half full
1
SEE ANSWER
Answer:
16,000 liters
Step-by-step explanation:
Assuming the pool does not curve in any direction and is a big box with 90° corners:
1/16. 2,000 liters
2/16. 4,000 liters
3/16. 6,000 liters
4/16. 8,000 liters
5/16. 10,000 liters
6/16. 12,000 liters
7/16. 14,000 liters
8/16. 16,000 liters
9/16. 18,000 liters
10/16. 20,000 liters
Answer:
Half full = 16,000 liters
Need to add 14,000 more liters
Step-by-step explanation:
Proportions and Fractions
The swimming pool contains 2,000 liters of water and it's said to be 1/16 full. this means that the total capacity of the pool is:
2,000 liters * 16 = 32,000 liters
It's required to calculate how many liters of water are required to make the pool half full.
This can be found by dividing the above number by 2, thus:
Half capacity of the pool = 32,000 / 2 = 16,000 liters
We'll provide the following answer in case it's required.
To reach half capacity, it would be necessary to add
16,000 liters - 2,000 liters = 14,000 liters of water to the existing amount.
Solve.
y= 2x + 4
y= 2x2
Answer:
5 terms
Step-by-step explanation:
-2n - 5 = 17 what does n=
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-2n-5=17 Equation/Question
Step 2
-2n-5=17 Simplify
-2n-5=17
Step 3
-2n-5=17 subtract 5
-2n=-22
Step 4
-2n=-22 Divide
answer
n=-11
Hope this helps
There are 600 performers in a dance recital. The ratio of men to women is 4:6. How many men performers were in the
dance recital?
it would be 240 men
Step-by-step explanation:
i took the same test
Answer:
240
Step-by-step explanation:
I took the same test just trust me
It is known that the distance in metres through which a body falls freely varies directly as the square of the time taken. If a body falls through 80 metres in 4 seconds, find the distance it would fall in 5 seconds.
step-by-step easy explanation, please.
Answer:
K = 5 ; 125 m
Step-by-step explanation:
body falls through 80 metres in 4 seconds, find the distance it would fall in 5 seconds.
Given that:
Distance α (Timetaken)²
Distance = d ; Timetaken = t
d = Kt²
K = constant of proportionality
80 = k4²
80 = 16k
K = 80 / 16
K = 5
Distance it would fall in 5 seconds ; t = 5
D = Kt²
D = 5 * 5²
D = 5 * 25
D = 125
It will fall a distance of 125 m in 5 seconds.
natalie was out at a restaurant for dinner when the bill came. her dinner came to $29. after tipping in a tip, before tax, she paid $34.22. find the percent tip
Answer:
%18 tip
Step-by-step explanation:
The dinner cost was $29 before tip
after tip it was $32.22
34.22-29= $5.22 she tipped
$29 * %x = $5.22
After solving this equation, the x is %18
What is equivalent to 5^3•5^4
Answer:
[tex] {5}^{7} [/tex]
Step-by-step explanation:
[tex]5^3•5^4 = {5}^{3 + 4} = \purple{ \bold{ {5}^{7} }}[/tex]
Is of I ready please help me ?
Answer: N has to be a negative. hope this helps
Step-by-step explanation:
36 over 9 = g over 1
Answer:
4/1
Step-by-step explanation:
g is 4
What value for x satisfies the equation below? 12(x-2)+3x=13(x+12)+10x
Answer: Exact Form: x = − 45 /2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Solve by multiplying digits of value and filling in zeros:
200 x 80 x 60
Answer:
down below:)
Step-by-step explanation:
200 times 80 times 60 is:
200 times 80 is 16000
16000 times 60 is 960000
Sole the equation 3/4x+3-2x=-1/4+1/2x+5
In the equation 7y = 70, what is the next step in the equation solving sequence?
Isolate the variable through inverse operations.
Identify and move the coefficient or variable.
Solve for the variable.
Combine like terms.
Answer:
Isolate the variable through inverse operations
Step-by-step explanation:
The next step would be to divide 70 by 7 to get y by itself. Dividing by 7 is the inverse of multiplying by 7.
Anna is selling boxes of cookies and tubs of popcorn for a Student Council fundraiser. On Monday, she made $40 selling 4 boxes of cookies and 2 tubs of popcorn. On Tuesday, she made $35 selling 1 box of cookies and 3 tubs of popcorn.
Write a system of equations to represent the cost of a box of cookies, x, and the cost of a tub of popcorn, y.
Answer:
5 boxes of cookies and 5 tubs of popcorn = $75
Step-by-step explanation:
To find y divide what is sold by 4 boxes of cookies and x by 2 tubs of popcorn.
The solution is
The cost of box of cookies x = $ 5
The cost of tub of popcorn y = $ 10
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the cost of cookies be = x
Let the cost of popcorn be = y
And ,
On Monday, Anna made $40 selling 4 boxes of cookies and 2 tubs of popcorn
Substituting the values in the equation , we get
4x + 2y = 40 be equation (1)
And ,
On Tuesday, Anna made $35 selling 1 box of cookies and 3 tubs of popcorn
Substituting the values in the equation , we get
x + 3y = 35 be equation (2)
On simplifying both equations , we get
Multiply equation (2) by 4 , we get
4x + 12y = 140 be equation (3)
Subtracting equation (1) from equation (3) , we get
10y = 140 - 40
10y = 100
Divide by 10 on both sides of the equation , we get
y = $ 10
So , the cost of tub of popcorn is $ 10
Substituting the value of y in equation (2) , we get
x + 3y = 35
x + 30 = 35
Subtracting 30 on both sides of the equation , we get
x = $ 5
So , the cost of box of cookies is $ 5
Hence , the cost of cookies is $ 5 and cost of popcorn is $ 10
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Help plz:)))I’ll mark u Brainliest
Answer:
ST = 8 m
Step-by-step explanation:
Since both triangles are congruent to each other, therefore their corresponding angles and corresponding side lengths would be equal to each other accordingly.
Side ST in ∆STU corresponds to side PQ in ∆PQR. ST = PQ.
Side PQ = 8 m
Therefore, side ST = PQ = 8 m
He me out with this question
Answer:
I believe the answer is B.
The cell phone plan used by Samantha charges her $0.40 per minute in addition to a $30 monthly fee. In January, she spoke for 100 minutes and
was charged $70. How much is she charged for February, when she spoke for 200 minutes?
A
$80
B
$100
$110
$140
7 men had 7 wive. each man and each wife had 7 children. whats the number of people?
The total number of people is 63 and this can be determined by using the arithmetic operations.
Given :
7 men had 7 wive. Each man and each wife had 7 children.The following steps can be used to determine the total number of people:
Step 1 - Given that 7 men had 7 wive. So, add 7 and 7.
= 7 + 7
= 14
Step 2 - It is also given that each man and each wife had 7 children. So, multiply 7 by 7.
[tex]=7\times 7[/tex]
= 49
Step 3 - Now, in order to determine the total number of people add 49 and 14.
= 14 + 49
= 63
So, the total number of people is 63.
For more information, refer to the link given below:
https://brainly.com/question/1957976
Helppppppppppppppppppppppp pleaseeeeeee
Answer:
12.57
Step-by-step explanation:
C=2πr
2π2
4π
12.57
A line with slpoe 3 passes through the point (0.10). What is the y-coordinate of the point on the line with x-coordinate 2
Answer:
When x-coordinate x = 2, the value of the y-coordinate is: y = 16
Please also check the graph.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven
The point (0, 10)
The slope m = 3
The value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
We have given the point (0, 10)
It means:
at x = 0, y = 1 0
Therefore, the y-intercept b = 10
so substituting b = 10 and m = 3 in the slope-intercept form
[tex]y = mx+b[/tex]
[tex]y = 3x+10[/tex]
Therefore, the equation of a line with slope 3 passes through the point (0, 10) will be:
[tex]y = 3x+10[/tex]
Now, substituting x = 2 in the equation
[tex]y = 3x+10[/tex]
y = 3(2) + 10
y = 6+10
y = 16
Therefore, when x-coordinate x = 2, the value of the y-coordinate is: y = 16
Please also check the graph.
I need help with this, no matter how hard I do, I don't get the answer. 3 [ 10 ( 16 - 6 + 3 ) ] I don't know what the answer is.
the answer is 390
Step-by-step explanation:
don't ask how
Find the missing side or angle.
Round to the nearest tenth.
b=26
a=25
c=5
B=[? ]°
Answer:
The anwer for Acellus people is B=96 degrees
Step-by-step explanation:
y - 6 + x; use x = 6, and y = -2
Answer:
If you want y-6+x solved, it's -2
Step-by-step explanation:
Substitute 6 for x and -2 for y and you get (-2 - 6 + 6 =?). -2 - 6 = -8. -8 +6 = -2.
Simple way to do this is the given -6 and the 6 cancel out and that leaves the -2 from the y.
PLZ HELP ON A TEST NEEDED ASAP!!!!!
Research shows the United States uses 45,000 water bottles every 30 seconds. At this rate, how many water bottles are used in the United States in 45 seconds?
Answer:
67500 bottles
Step-by-step explanation:
The rate of use of water bottles is 45000bottles/30sec
the unit rate of use of water bottles is 1500bottles/1sec
multiply by 45 to get the number of bottles used in 45 seconds
1500/1sec *45sec=67500 bottles