Answer:
90%
Step-by-step explanation:
Let R = 100
Since, Z = 30% of R
Therefore, Z = 30% *100 = 30
Since, W = 3Z
Therefore, W = 3*30 = 90
Percentage of W of R
[tex]= \frac{Value \: of \: W}{Value \: of \: R} \times 100\\\\
=\frac{90}{100} \times 100\\\\
Percentage \:of \:W \:of \:R =90\%[/tex]
If W = 3Z, and Z is 30% of R. Then W is 90 percent of R.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
If W = 3Z, and Z is 30% of R.
Z = 0.30R
The put the value of Z in the equation W = 3Z.
W = 3 (0.30R)
W = 0.90 R
Then W is 90 percent of R.
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What is the volume of the cylinder below?
O A. 3787 unite
O B. 1687 unite 3
O C. 2524 unite 3
O D. 2887 units 3
Answer:
Volume = 252π units³
Step-by-step explanation:
We have been given an obliques cylinder (a cylinder having its bases parallel to each other but are not aligned).
The volume of an oblique cylinder can be found similarly to that of a regular cylinder, with using the formula:
Volume = Base · Height
Where the height in the regular cylinder is taken as the distance from one base to another base, but for oblique cylinder, the height is taken as the perpendicular distance from one base to another base, which in the given diagram, is shown as 7
So, for the given cylinder:
Height = 7
Radius = 6
Volume = Base · Height
Volume = πr² · h
Volume = π(6)² · 7
Volume = 252π units³
Let a=1/5 b=1/2 c=3, and let d= -1/4 Calculate 1 divided by a times 1/c + 1/ b times d
Answer:
[tex]\frac{7}{6}[/tex]
Step-by-step explanation:
Given
a=1/5
b=1/2
c=3
d= -1/4
Required
[tex]\frac{1}{a} * \frac{1}{c} + \frac{1}{b} * d[/tex]
Substitute the values of a, b, c and d in the expression above
[tex]\frac{1}{\frac{1}{5}} * \frac{1}{3} + \frac{1}{\frac{1}{2}} * \frac{-1}{4}[/tex]
Simplify the above expression
[tex]1/{\frac{1}{5} * \frac{1}{3} + 1/{\frac{1}{2}} * \frac{-1}{4}[/tex]
[tex]1*{\frac{5}{1} * \frac{1}{3} + 1*{\frac{2}{1}} * \frac{-1}{4}[/tex]
[tex]5 * \frac{1}{3} + 2 * \frac{-1}{4}[/tex]
[tex]\frac{5}{3} + \frac{-2}{4}[/tex]
[tex]\frac{5}{3} - \frac{2}{4}[/tex]
Take LCM
[tex]\frac{20 - 6}{12}[/tex]
[tex]\frac{14}{12}[/tex]
Divide the numerator and denominator by 2
[tex]\frac{7}{6}[/tex]
Hence, [tex]\frac{1}{a} * \frac{1}{c} + \frac{1}{b} * d[/tex] = [tex]\frac{7}{6}[/tex]
The original price of a pair of shoes at Nike Outlet is 109.99 and there is a mark down of 25% because the shop is having a black Friday sale what is the amount of money being taken off the original price?
Answer:
27.50
Step-by-step explanation:
109.99=100%
10.999=10%
21.998=20%
27.4975=25%
so they are taking £27.4975 off the original price meaning the new price is £82.4925 but, because it is money, you would need to round this to two decimal places leaving the new price as £82.49
Choose the correct answer. Which relation is displayed in the graph?
{(–3, –2), (–1, 1), (1, 0), (2, 3), (4, –2)}
{(–2, 3), (1, 1), (0, 1), (3, 2), (–2, 4)}
{(–3, 2), (–1, –1), (1, 0), (2, 3), (4, 2)}
{(–3, –2), (1, –1), (0, 1), (2, 3), (4, –2)}
Answer:
A) (-3, -2), (-1, 1), (1, 0), (2, 3), (4, -2)
Step-by-step explanation:
From the graph, we have 5 different points.
To write out the coordinates of a point from the graph, you write it in the format (x, y),that is, the x position comma the y position.
Let's start from the left hand side, we have:
(-3, -2), (-1, 1), (1, 0), (2, 3), (4, -2)
These are the points displayed on the graph.
Notice that they are arranged according to increasing x coordinates.
Two brothers, Pedro and John, have a straight log in their backyard. Pedro wants the log cut into 24 equal parts, so he paints red lines on the log and asks a lumberjack to cut the log on the painted lines. John wants the log cut too, but into 18 equal parts. So before the lumberjack arrives, he paints yellow lines on the log, with some yellow lines painted over red lines. The lumberjack arrives and cuts the log on the painted lines of any color. How many cuts did the lumberjack make?
Answer:
35 cuts or 36 parts
The lumberjack cuts 7 numbers of the log on the painted lines.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
Let length of the log on the painted lines = 72 units
Pedro wants the log cut into 24 equal parts,
⇒ 72/24 = 3 units
John wants the log cut into 18 equal parts,
⇒ 72/18 = 4 units
Hence, the lumberjack cuts 7 numbers of the log on the painted lines.
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What is the solution to the equation below? log 20xrise 3-2logx=4
Answer:
[tex]x = 500[/tex]
Step-by-step explanation:
Given
[tex]log20x^3 - 2logx = 4[/tex]
Required
Solve for x
[tex]log20x^3 - 2logx = 4[/tex]
Using law of logarithm which says;
[tex]nlogx = logx^n[/tex]
The expression becomes
[tex]log20x^3 - logx^2 = 4[/tex]
Also, using laws of logarithm which says:
[tex]loga - logb = log\frac{a}{b}[/tex]
The expression becomes
[tex]log(\frac{20x^3}{x^2}) = 4[/tex]
[tex]log(20x) = 4[/tex]
Also, using laws of logarithm which says
[tex]If\ loga = b\\then\ a = 10^b[/tex]
The expression becomes
[tex]20x = 10^4[/tex]
[tex]20x = 10000[/tex]
Divide through by 20
[tex]\frac{20x}{20} = \frac{10000}{20}[/tex]
[tex]x = \frac{10000}{20}[/tex]
[tex]x = 500[/tex]
Answer:
500
Step-by-step explanation:
2. Company A packages roofing nails in boxes that are normally distributed with a mean of 276 nails and a standard deviation of 5.8 nails. Company B packages roofing nails in boxes that are normally distributed with a mean of 252 nails and a standard deviation of 3.4 nails. Which company is more likely to produce a box of 260 roofing nails? Explain your answer using z-scores.
Answer:
Company B
Step-by-step explanation:
We would use z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = Standard deviation
let x = 260 with the mean μ1 = 276 and standard deviation σ = 5.8
let x = 260 with the mean μ2 = 252 and standard deviation σ = 3.4
z1 = (x- μ1) / σ = (260- 276) / 5.8 = -2.7586206897
z2 = (x2 - μ) / σ = (260 -252) / 3.4= 2.3529411765
Comparing the two z scores, we can see that company B has the probability of producing 260 nails because it has a positive z score of approximately 2.35 compared to company A with a z score of -2.76.
Find the slope of the line on the graph .
Answer: the slope is -3/2
Step-by-step explanation: The slope is negative, because the line is pointing downwards. A way I learned it that there's a skier and going up the line/mountain is "puff puff positive" and skiing down the hill is "nice and easy negative."
To figure out the exact number, take a point on the line. I chose (2,-1) I then moved down 3 ( going down makes it negative) spaces, and right two space to get to the next point. This is known as rise over run.
Hope that helped!
Answer:
[tex]-1.5[/tex]
Step-by-step explanation:
So we are asked to find the slope of the line on the graph, so let's find the two points that are actually hitting a part of the graph instead of the middle.
Looking at it, I see (-2,5) and (0,2).
So now, how many squares do we have to move to get from (-2,5) to (0,2)?
Well, we have to move 3 squares down, and 2 squares to the right.
Follow the rise over run method :
[tex]\frac{rise}{run} = \frac{-3}{2}[/tex]
Divide -3 by 2 :
[tex]-1.5[/tex]
-1.5 is the slope of the line.
Students surveyed boys and girls separately to determine whether they wanted outdoor
recess or indoor recess. After completing the boy survey, it was determined that for
every 17 boys who wanted outdoor, 20 boys wanted indoor. The girl survey had a ratio of
3:2 of outdoor to indoor. If the same number of boys and girls were surveyed, and 85
boys chose outdoor, how many girls do you think chose outdoor?
Answer:
111 girls
Step-by-step explanation:
Given
Boys: Every 17 outdoor ≈ 20 indoor
Girls: 3:2 outdoor to indoor
First, we'll determine the ratio of outdoor to indoor for boys;
Recall that;
17 choose indoor while 20 choose outdoor;
The ratio of outdoor to indoor is;
20 : 17
Convert to fraction:
[tex]\frac{20}{17}[/tex]
Let x represent number of boys that choose indoor when 85 boys chose outdoor;
The ratio of outdoor to indoor is;
x : 85
Convert to fraction
[tex]\frac{x}{85}[/tex]
Equate both fractions
[tex]\frac{20}{17} = \frac{x}{85}[/tex]
Multiply both sides by 85
[tex]85 * \frac{20}{17} = \frac{x}{85} * 85[/tex]
[tex]85 * \frac{20}{17} = x[/tex]
[tex]\frac{1700}{17} = x[/tex]
[tex]100 = x[/tex]
[tex]x = 100[/tex]
This implies that when 85 chose outdoor, 100 chose indoor for boys;
Total = 100 + 85
Total = 185 boys surveyed
Recall that the question says the same number of boys and girls were surveyed
This implies that
Total Girls Surveyed = 185
For the girl ratio;
Outdoor to Indoor= 3:2
Number of girls that chose outdoor is as follows;
[tex]Outdoor = \frac{3}{3 + 2} * Total[/tex]
[tex]Outdoor = \frac{3}{3 + 2} * 185[/tex]
[tex]Outdoor = \frac{3}{5} * 185[/tex]
[tex]Outdoor = \frac{555}{5}[/tex]
[tex]Outdoor = 111[/tex]
Hence, the number of girls that chose outdoor is 111
If y varies jointly with x and z and y=13 when x=26 and z=6 find x when y=25 and z=18
Step-by-step explanation:
as I can see this the answer is
x = 25/78
in decimal
x = 0.320
On the horizontal line y = 5, there are two points exactly 5 units from the point (7, 1). What is the sum of the x-coordinates of these two points?
Answer:
14
Step-by-step explanation:
The two points on y=5 are (4,5) and (10,5), which can be deducted if you draw a picture with (7,1) and y=5 on it. A vertical line through 7,1 and the line to "some" points on y=5 left and right of it have lengths 4 and 5 respectively.
Then I realized these were two 3,4,5 triangles! So the x coordinates must be at 7-3=4 and 7+3=10 respectively!
The sum of 4 and 10 is 14.
edit: seems to me the sum is 14 regardless of the length of 5??
WILL MARK BRAINIEST IF CORRECT FOR THE FIRST TO ANSWER!!! PLEASE HELP!!!
1. Create a data set with at least 5 values.
2. Write instructions that tell a friend how to find the mean absolute deviation of your data set.
Step-by-step explanation:
6,5,8,2,8,6,5,8,8
To find the mean you MUST add all of the numbers together
then divide by the number of numbers
this will be your mean
Then to find the absolute deviation you must find the absolute value of the numbers in this case they stay the same since the absolute value is NEVER negative....
then you need to find the data value of the entire data set
then subtract the mean from that number!
What is the simplified form of?
Answer:
-2√7(-5.291503)
Step-by-step explanation:
combine like terms
Answer:
[tex] - 2 \sqrt{7} [/tex]
Step-by-step explanation:
[tex]3\sqrt{7} - 5\sqrt{7} = - 2 \sqrt{7} [/tex]
We subtract 3 and 5 and not the numbers under the radical.
The number under the radical can be changed if multiplied or divided.
3-5=-2 or
-5+3=-2
It's like having 5 dollar debt and then paying 3 dollars, you still have to pay those 2 dollars left.
Hope this helps ;) ❤❤❤
Which expression is equivalent to 7square root x^2/5 square root y^3? assume y≠0
Answer:
A= (x^2/7)(y^-3/5)
Step-by-step explanation:
7√x^2 / 5√y^3
7√x^2
=(x^2)1/7
=x^2/7
5√y^3
=(y^3)1/5
=y^3/5
Substitute into the expression
(x^2/7) / (y^3/5)
=(x^2/7)(y^-3/5)
Answer:
A
Step-by-step explanation:
edge 2020
Using this coin and a number cube, which simulation would help you answer this question? A professor found that her students pass the final exam about 50% of the time. She gives the exam during the fall, spring, and summer terms. If she has 30 students during each term and you choose a student at random, what are the chances that the student passed the exam during the fall term.
Answer:
didnt understand the quedtion clearly
given f(x) = 3/2x - 5 and g(x) = x^2 + 2x solve for g(-2)
Answer:
g(-2) = 0
Step-by-step explanation:
Given
g(x) = x^2 + 2x
we have to find value of g(-2)
to get that we
need to x = -2 in g(x)
g(x) = x^2 + 2x
g(-2) = (-2)^2 + 2*(-2) = 4 -4 = 0
Thus, g(-2) = 0
what is the average rate of change over the interval [1, 0]
Answer:
2
Step-by-step explanation:
The tecnique that we can use to solve this exercice is Let m be our rate of change and f our function m=[tex]\frac{f(1)-f(0)}{1-0}[/tex]= [1-(-1)]/1 m=2Find the are of ABC with the side lengths a=8 and b=12, and included angle C=84 degrees. Round your answer to the nearest tenth
Answer:
47.7 square units
Step-by-step explanation:
It is important to know that,
The area of any triangle with two given sides and an inclusive angle = 1/2(absinθ)
In the question above, we are given the following values:
Where : a = 8, b = 12, θ = C = 84°
Area of the Triangle ABC = 1/2 ×( 8 × 12 × sin 84)
Area of Triangle ABC = 47.737050978 square units
Approximately to the nearest tenth = 47.7 square units.
Therefore, the Area of triangle ABC to the nearest tenth = 47.7 square units.
James has a magic hat full of slips of paper with numbers on them. He gives the hat to his friend Anna who pulls 4 numbers out of the hat: $3$, $-4$, $-2$ and $0$. James then pulls 3 numbers out of the hat: $2$, $4$, and $1$. What is the sum of all of the numbers that James and Anna pulled out of the magic hat?
Answer:
4
Step-by-step explanation:
Sum of numbers that Anna pulled = 3 +(-4) + (-2) + 0
= 3 + (-6)
= (-3)
Hint: If two numbers have same sign add & the result will have the same sign Eg: (-4) + (-2) = -6
If two numbers have different sign, subtract and the result will have the sign of bigger number. Here sign 6 is ' - ', so the result is (-3)
Sum of numbers that James pulled = 2 + 4 + 1
= 7
Sum of all numbers = (-3) + 7
= 4
Answer:
4
Step-by-step explanation:
Sum of numbers that Anna pulled= 3 +(-4) + (-2) + 0
= 3 + (-6)
= (-3)
Sum of numbers that James pulled = 2 + 4 + 1
= 7
Sum of both = (-3) + 7
= 4
HOPE IT HELPS!
PLEASEEE HELPP!!! BRINLIEST TO FIRST ANSWER!!
The dance team has 9 dancers to perform different roles in each performance. The probability that the team selects the same order as last performance is 1 divided by 362880 . -Explain where each the numerator and denominator come from. -What is the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position? Assume these are not the same people. -Create a question, related to the dancers, where you use the indirect method, n(A’), to solve.
Answer:
The probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position is 1/72.
Step-by-step explanation:
It is provided that a dance team has 9 dancers to perform different roles in each performance.
The number of arrangements of the 9 dancers in the different roles is:
Number of order of performance = 9!
= 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 362880
If the team selects the same order as last performance, then the possible number of arrangements is, 1.
The probability that the team selects the same order as last performance is:
[tex]=\frac{1}{362880}[/tex]
Now it is provided that the team puts the top hip hop dancer in the third position and top break dancer in the first position.
So of the 9 positions the 1st and 3rd are occupied.
There are a remaining 7 positions to be filled by 7 dancers.
That can happen in 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040 ways.
Compute the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position as follows:
[tex]=\frac{5040}{362880}\\\\=\frac{1}{72}[/tex]
Thus, the probability is 1/72.
If y varies directly with x, find the missing value below. (9, 36) and (x, -24) Then enter only your numerical answer (without units) below to check.
Answer:
x = - 6
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use (9, 36), that is x = 9, y = 36
36 = 9k ( divide both sides by 9 )
4 = k
y = 4x ← equation of variation
Using (x, - 24 ), that is find x when y = - 24
- 24 = 4x ( divide both sides by 4 )
x = - 6
Answer:
x = - 6
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use (9, 36), that is x = 9, y = 36
36 = 9k ( divide both sides by 9 )
4 = k
y = 4x ← equation of variation
Using (x, - 24 ), that is find x when y = - 24
- 24 = 4x ( divide both sides by 4 )
x = - 6
(08.03)Solve the system of equations and choose the correct answer from the list of options. d + e = 1 −d + e = −5 Label the ordered pair as (d, e). (0, 0) (3, −2) (−2, 3) (−3, 0)
Answer:
(3, -2).
Step-by-step explanation:
d + e = 1
−d + e = −5 Adding the 2 equations:
0 + 2e = -4
e = -2.
Plug this into the first equation:
d + -2 = 1
d = 1 + 2
d = 3.
Check these results in the second equation:
-3 + -2 = -5 - checks out.
7.
A hobbyist is making a toy sailboat. For the triangular sail, she wants the height h (in inches)
to be twice the length of the base b (in inches). Can the area of the sail be 10 in??
I
Answer:
Yes
Step-by-step explanation:
Since the height is twice the length of base (b), we can say h= 2b.
Since the area of triangle = base x height /2, we can see if it is possible that the area of sail be 10in².
b(2b) /2 = 10
2b² / 2 = 10
b² = 10
b= √10
b = 3.1623in. or -3.1623in.
Even though b can be -3.1623, but since the length in real life cannot be negative, this answer is not valid. Still, 3.1623in. is possible in real life, so, the area of the sail boat can be 10 in².
Yes, the area of the sail can be 10 square inches.
What is area?Area is the amount of area occupied by an object's flat (2-D) surface or shape.
Given:
A hobbyist is making a toy sailboat.
For the triangular sail, she wants the height h (in inches) to be twice the length of the base b (in inches).
Then, height = 2b inches.
That means,
the area of the triangle = 10 square inches.
1/2 x b x 2b = 10
b² = 10
b = √10
Therefore, the area can be 10 square inches.
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plzzzzz answer this!!!!♥️♥️
Answer:
5.83 units
Step-by-step explanation:
3² + 5² = RS²
RS² = 34
RS = √34
RS = 5.83095189
Please mark my answer as brainliest <3
Answer:
the length of RS is about 6 (5.8)
A freight train is carrying goods across the country. The number of gallons of fuel it has used varies directly with the distance it has traveled. See the graph
below.
Answer:
0.125 miles per gallon.
Step-by-step explanation:
After 200 gallons used the freight train has traveled 25 miles. This means that we need to divide both sides by 200 to get a singular gallon's worth of miles traveled. 200/200 is 1, and 25/200 is 0.125.
---------------------
Extra
---------------------
IF it were how many gallons per mile, you would divide both answers by 25 resulting in 8 gallons per mile.
Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 litres tin of paint in his store and decides to paint the tank (not the base). If he uses 250 ml to cover 1 , will he have enough paint to cover the tank with one layer of paint? [take π=3.142]
Answer:
Yes, he will have enough paint to cover the tank with one layer of paint.
Step-by-step explanation:
We are given that Tublu buys a cylindrical water tank of height 1.4 m and diameter 1.1 m to catch rainwater off his roof. He has a full 2 liters tin of paint in his store and decides to paint the tank (not the base).
He uses 250 ml to cover 1 [tex]\text{m}^{2}[/tex].
From the question, it is clear the area of the tank which needs to be painted is the lateral surface area (because the base is not included).
The lateral surface area of the cylinder = [tex]2\pi rh[/tex]
where, r = radius of the cylinder = [tex]\frac{\text{Diameter}}{2}[/tex] = [tex]\frac{1.1 }{2}[/tex] = 0.55 m
h = height of the cylinder = 1.4 m
[tex]\pi[/tex] = 3.142 (given)
So, the lateral surface area of a cylindrical water tank = [tex]2 \times 3.142 \times 0.55 \times 1.4[/tex]
= 4.84 [tex]\text{m}^{2}[/tex].
Now, it is given in the question that; Tublu uses 250 ml to cover 1 [tex]\text{m}^{2}[/tex] area, this means that;
To cover 4.84 [tex]\text{m}^{2}[/tex] area, he will use paint = [tex]4.84 \times 250[/tex] = 1210 ml
Since he has a full 2 liters tin of paint in his store which is equal to 2000 ml but he need only 1210 ml of paint.
This means that yes, he will have enough paint to cover the tank with one layer of paint.
What is the measure of 2L?
K
7
7
25°
]
Answer:
its 25° .
because its an isosceles trangle as jk=kl =7.
and angle J is equal to angle L as they are base angles of an isosceles triangle.
The graph of the function F(x) = 2x^2-8 is changed. The new graph can be
represented by the function F(X)= -2x^2-4.
Which of the following describes the changes made to the graph of the
original function?
Answer:
The graph now opens in the opposite direction. The y intercept is shifted up 4.
Step-by-step explanation:
F(x) = 2x^2-8
F(X)= -2x^2-4
We know that the graph is reflected over the y-intercept becuase of the negative sign in the second equation ( F(X)= -2x^2-4)
We know that the intercept is shifted up four, because the number decreased from 8 to 4, and the graph is reflected.
Attacthed is both of the equations graphed to help you visualize this shift!
PRE CALC, help please
Answer:
option C is correct ...Step-by-step explanation:
Because, x= -1 and x =3 are the solution of function.....given f(x) = x -2, if the domain is 5, find the range
Answer:
Step-by-step explanation:
I don't say u must have to mark my and as brainliest but if it has really helped u then plz don't forget to thank me.....