Answer:
The total cost is $32.40
Step-by-step explanation:
9.91 x 4 = 39.64
25% of 39.64 is 9.91
39.64 - 9.91 = 29.73
6.75% of 39.64 is 2.67
29.73 + 2.67 = 32.40
Hank is building a dog run for his dog. He wants the ratio of the length to the width of the dog run to be 5 : 2. If he builds the dog run so the length is 10.5 feet, which equation can be used to solve for the width, w? What is the value of w?
Answer:
you should multiply 2 by 2.1 with that you would get the width of the dog run.
The width would be 4.2
Step-by-step explanation:
Answer:
W = 4.2 ft
Step-by-step explanation:
By what number must we multiply 5 to get the actual length 10.5 feet?
5x = 10.5 ft, or x = 2.1 ft, where x is the length
The following is true: 5 : 2 = L : W, or
5 L
----- = -----
2 W
Since we have L (10.5 ft) and need W, we solve the above equation for W:
5W = 2L, so that W = (2/5)L
Since L = 10.5 ft, W must be W = (2/5)(10 1/2 ft)
2 21
Then W = --------- * -------- ft = 21/5 ft = 4.2 ft W = 4.2 ft
5 2
Factorise 3x to the power of 2 + xy
Answer:
x • (3x + y)
Step-by-step explanation:
Answer:
Step-by-step explanation:
3x to the power of to +xy= x (3x+y)
7-x/3x+12 is a rational expression. The domain of this expression is all real numbers except____?
Place each pair of angles in the correct column.
Answer:
congruent: 1 & 8,
congruent & corresponding: , 4&8
supplementary: 2&5, 3&5, 3&4
i don’t see how anything can be congruent AND supplementary unless the angles are both 90.... hope this helped
solve the following question
9514 1404 393
Answer:
π/3
Step-by-step explanation:
The given integral does not exist. We assume there is a typo in the upper limit, and that you want the integral whose upper limit is (√3)/2.
It is convenient to make the substitution ...
x = sin(y) . . . . so, y = arcsin(x)
dx = cos(y)·dy
Then the integral is ...
[tex]\displaystyle\int_0^{\sqrt{3}/2}{\dfrac{\cos{y}}{\sqrt{1-\sin^2{y}}}}\,dy=\int_0^{\sqrt{3}/2}{dy}=\left.\arcsin{x}\right|\limits_0^{\sqrt{3}/2}\\\\=\arcsin{(\sqrt{3}/2)}=\boxed{\dfrac{\pi}{3}}[/tex]
Which shows the best use of the associative and commutative properties to
make simplifying 2.4 + 13 – 5 + 3.6 +7 easier?
O A. (2.4 + 13) + (-5 +3.6 + 7)
O B. (2.4 + (-5) + 13) + (7 + 3.6)
Oc. (7+ 2.4 + 13) + [3.6+ (-5)]
O D. (2.4+ 3.6) + [13 +7+(-5)]
SUBMIT
Answer: D
Step-by-step explanation:
The best use of the associative and commutative properties to simplify the expression 2.4 + 13 - 5 + 3.6 + 7 would be:
D. (2.4 + 3.6) + [13 + 7 + (-5)]
By applying the associative property, we can group the numbers in a way that allows for easier computation.
Here, we group 2.4 and 3.6 together and 13, 7, and -5 together. This allows us to simplify each group separately and then add the results together.
Calculating the groups:
(2.4 + 3.6) = 6
[13 + 7 + (-5)] = 15
Now, we add the results together:
6 + 15 = 21
So, the simplified expression is 21. Therefore, option D provides the best use of the associative and commutative properties to simplify the given expression.
Learn more about the associative and commutative properties here:
https://brainly.com/question/29279825
#SPJ2
Your friend's parents each have a job. Her mother's average weekly salary is $740 with a standard deviation of $43. Her father's average weekly salary is $535, with a standard deviation of $25. Find the average weekly salary of her parents combined, and the standard deviation of their combined salaries. You can assume that the amount of money her mother makes has no effect on her father's salary, and vice versa.
Answer:
M= 740 [tex] \alpha = 43[/tex]D= 535[tex] \alpha = 25[/tex]You have two samples and two standard deviations We need the average of the take home pay and their combined standard deviation.So combined both regressions to get the total combined.The average weekly salary of friends' parents is 1275$ and the standard deviation is 49.739.
What is the standard deviation?The standard deviation measures the degree of dispersion of a collection of data. Each data point is compared to the average of all the data points, and the standard deviation gives a determined number that indicates whether the data points are clustered together or dispersed. The standard deviation of a normal distribution indicates how far values deviate from the mean.
Given that, Both of my friend's parents are employed. Her mother makes $740 on average per week, with a standard variation of $43. Her father makes $535 on average each week, with a standard variation of $25.
Let X denotes the weekly salary of her mother.
X ~ Normal(740,432)
Let Y denotes the weekly salary of her father.
Y ~ Normal(535,252)
and X and Y are independent.
the average weekly salary of your parents combined = E(X+Y)
= E(X) + E(Y) = 740 + 535 = 1275
the variance of weekly salary of your parents combined = Var(X+Y) = Var(X) + Var(Y) = 432 + 252 = 2474
the standard deviation of the combined salaries = [tex]\sqrt{2474}[/tex] = 49.739
Therefore, Parents of friends make 1275 dollars on average per week, with a standard deviation of 49.739.
Learn more about standard deviation here:
https://brainly.com/question/23907081
#SPJ5
The pond at a local park is home to a number of birds. ⅕ of the birds are white. ⅔ of the white birds are ducks. ¾ of the ducks are hungry. What fraction of the birds are hungry, white ducks?
Answer:
Step-by-step explanation:
the park has 1/5 white birds
out of this number, 2/3 are ducks
ducks=(1/5)/(2/3)=3/10
hungry ducks=(3/10)/(3/4)=6/15
PLEASE ANSWR I WILL GIVE 50 POINTS!!!!!
Which expression is equivalent to (1/ sqrt of y) ^-1/5 ?
Step-by-step explanation:
sqrty = y^(0.5)
1 / sqrty = y^(-0.5).
-1/5 = -0.2.
Therefore we have (1 / sqrty)^(-1/5)
= [y^(-0.5)]^(-0.2)
= y^[(-0.5)(-0.2)] (Law of indices)
= y^0.1
= 10th square root of y. (2nd option)
Answer:
1/sqrt 10th y
Step-by-step explanation:
1/(sqrt9)
19/76sprt
please show work i would appreciate it
Answer:
a) x = 14
b) The perimeter of △QRS is 77 units.
Step-by-step explanation:
a) Due to the question asking for a solution using the Triangle Proportionality Theorem, it is assumed that △RQS is similar to the smaller triangle inside it.
Let us define the point at which the line inside △RQS meets line RQ as T, and the point at which that same line meets line RS as V.
Hence, △RTV ~ △RQS.
According to the Triangle Proportionality Theorem:
[tex]\frac{RT}{RQ} = \frac{TV}{QS} = \frac{VR}{SR}[/tex]
Hence, we can substitute all values that we know from the diagram:
[tex]\frac{2x - 2}{2x - 2 + 13} = \frac{TV}{17} = \frac{21 - 7}{21}[/tex]
After getting this information, all we have to do is simplify and solve the equation:
[tex]\frac{2x - 2}{2x - 2 + 13} = \frac{21 - 7}{21}[/tex]
[tex]\frac{2x - 2}{2x + 11} = \frac{14}{21}[/tex]
[tex]\frac{2x - 2}{2x + 11} = \frac{2}{3}[/tex]
[tex]3(2x - 2) = 2(2x + 11)[/tex]
[tex]6x - 6 = 4x + 22[/tex]
[tex]6x - 4x = 22 + 6[/tex]
[tex]2x = 28[/tex]
[tex]x = 14[/tex]
To verify this answer, we can plug in the value of x into the equation:
[tex]\frac{2(14) - 2}{2(14) - 2 + 13} = \frac{2}{3}[/tex]
[tex]\frac{26}{39} = \frac{2}{3}[/tex]
[tex]\frac{2}{3} = \frac{2}{3}[/tex]
Hence, after verification, we can get the answer: x = 14.
--------------------------------------------------------------------------------------------------------------
b) To find the perimeter of △QRS, all we have to do is to add all the lengths of the sides of △QRS together.
Hence, 2(14) - 2 + 13 + 17 + 21
= 28 - 2 + 13 + 17 + 21
= 77 units
Therefore, the perimeter of △QRS is 77 units.
Hope this helped!
The manufacturer of Pepsi claims that its 2-liter bottles contain, on average, no more than 250 calories. A sample of 20 2-liter bottles, which were checked for calories, containsa mean of 255 calories with a standard deviation of 5.6 calories. Assume that the calorie count has a normaldistribution. Does the sample information indicate that a 2-liter bottle of Pepsi contains more than 250 calories
Answer:
Yes, Sample information does indicate that a 2-liter bottle of Pepsi contains more than 250 calories
Step-by-step explanation:
Null Hypothesis [H0] : u < 250
Alternate Hypothesis [H1] : u > 250 {One Tail}
t = (x' - u) / [ sd / √n ]
= (255 - 250) / (5.6 / √20)
5 / (5.6 /√20)
= 3.99
As t ie 3.99 > t value 1.65 ie for one tail 95% confidence level. So, we reject the null hypothesis & conclude that it contains more than 250 calories.
help plssssssssssssssss
Answer:
the answer is c
Step-by-step explanation:
If the slope is -2 and the y-intercept is -5, then the linear equation is y = -2x - 5.
True
False
Answer:
True
Step-by-step explanation:
y = mx + b,
where m = slope and b = y-intercept.
You have m = -2 and b = -5, so you get
y = -2x - 5
Answer: True
3(-4x + 8) =
PLEASE help! i don’t know these questions
Answer:
3(-4x+8)= now distribute it -12 x+24 so the answer will be that
what is the value of x in the eqation 5[x-6] = 2 [x+3]
Answer:
x = 12
Step-by-step explanation:
5x - 30 = 2x + 6
3x = 36
x = 12
Answer:
x=12
Step-by-step explanation:
1) distribute values:
5x-30=2x+6
2) add 30 to both sides
5x=2x+36
3) subtract 2x from both sides
3x=36
4) divide by 3
x=12
Graph the direct variation that includes the point (5,4). write the equation of the line.
How do I solve this?
Answer:u have to be missing something
Step-by-step explanation:
Answer:
does the question have a graph or is it just the word problem?
here is the answer if its just the word problem
Step-by-step explanation:
y= -5x+4
hope I helped :)
22.758 to the nearest foot
Find the quotient.
415 ÷ −3.4=
Answer:
415 ÷ 3.4 = 122.058
Step-by-step explanation:
What basic fact can you use to divide 2,800 by 7
Step-by-step explanation:
2800/7 = 400, ,
please you can see the upper paper which
can to solve this division math
Lin runs 5 laps around a track in 8 minutes. How many minutes per lap is that? Answer as a decimal.
Answer:
.625
Step-by-step explanation:
Answer:
1.6
8min divided by 5 equals 1.6 so 1.6min for each lap
DATE
PERIOD
Unit 3, Lesson 7: Cool-down
M
7.5: Cheetah Speed
(2 4
A cheetah can run at its top speed for about 25 seconds. Complete the table to represent a cheetah
running at a constant speed. Explain or show your reasoning.
time (seconds) distance (meters) speed (meters per second)
4
120
25
270
Answer:
ok this was a good one so here
Step-by-step explanation:
time (seconds)
distance (meters)
speed (meters per second)
4 120 30
25 750 30
9 270 30
The required values are in the completed table which has been attached below.
What is the distance?Distance is defined as the product of speed and time.
Since the Cheetah's speed is constant, the speed must be consistent throughout the table.
To calculate the unknown time and distance, use the following formula:
Speed = Distance/Time = c
When distance = 120m, time = 4 secs
Speed = 120/4 = c
Speed = 30m/s = c
We are to get the distance when the time is 25 secs
Speed = Distance/Time
30 = d₂/25
d₂ = 30 × 25
d₂ = 750 m
To get the time in the third column
Time = Distance/Speed
t₃ = 270/30
t₃ = 9seconds
Therefore, the required values are in the completed table which has been attached below.
Learn more about the distance here:
brainly.com/question/13269893
#SPJ2
5. The first time that Jordan ran for class president, he recelved 10% of the votes. This year, when
he ran again, he received 6 times as many votes as he did when he ran the first time. There
were a total of 180 votes in each election. How many votes did Jordan receive this year
HURRY PLEASE
Answer:
108 votes
Step-by-step explanation:
There were 180 votes in the election and Jordan received 10% of them.
180 × 0.10 = 18
Jordan received 18 votes the first time. This year, he received 6 times as many votes.
18 × 6 = 108
Jordan received 108 votes this year.
Hope that helps.
According to the line of best fit, at what time will the temperature reach 100°C, the boiling point of water?
A 5
B 5.5
C 6
D 6.5
Answer:
It is also not B.
Step-by-step explanation:
I think that it might be D then.
50% chance lol
PLZ ANSWER IF U KNOW THE ANSWER
Answer:
Scott
Step-by-step explanation:
you got it right, -20 absolute value is 20
2+2
Please help I’ve been try this all day long
Answer:
the answer is 4!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
LOL
what is equivalent to 6x-3y=12
Answer: x= 1/2y+2
Step-by-step explanation:
Select the create a description for the expression
Answer:
i think its a
Step-by-step explanation:
the x+3 is the sum and ofc the number is the number
3x+15/2 <30
Please help fast by the way the whole equation 3x+15 is over 2.
Answer:
x < 15
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Rohan buys 1 dozen pens for 180 and Saurav buys 7 pens for 390. Who bought costlier pens
Answer:
saurav
Step-by-step explanation:
1 dozen of pen is = 12.
12 = 180
7 = 390
Please give me the correct answer
Answer:
D
Step-by-step explanation:
i think the 4th is the answer