Answer:
True
Step-by-step explanation:
3³ x 4
= 3 x 3 x 3 x 4
= 9 x 12
= 108
True
Answer:
True
Step-by-step explanation:
3^3=27
27x4=108
108=108
The equations match.
Hence, the equation is true.
Which algebraic property is used to rewrite 2(x + 3) as 2x + 6? (1 point)
Answer:
The distributive property
Step-by-step explanation:
2 is being used to multiply both terms (x and 3)
Hope this helps!
Answer:
Distributive property
Step-by-step explanation:
Distributive property: a*(b + c) =(a*b) + (a*c)
2(x + 3) =2*x + 2*3
=2x + 6
Can i have help with i cant figure this out
Answer:
The circumference of a circle with radius 48 is 301.6(*)
Step-by-step explanation:
Formulas:
d = 96C = 302C = 2·π·r C = π·d C = √4·π·A π = 3.1415A = area of the circleC = circumference or perimeterr = radius, d = diameterStep-by-step Solution:
Circumference of a cicle in terms of radius:Circumference = 2·π·r = 2·3.14·48 = 301.58(*)In terms of diameter:Circumference = π·d = 3.14·96 = 301.44(*)In terms of area:Circumference C = √4·π·A = √4·π·7238 = 301.58(*)(*) 301.6 cm exactly or limited to de precision of this calculator (13 decimal places).
Note: for simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.
A circumference of 301.6 centimeters is equal to:
0.003016 kilometers (km)3.016 meters (m)3016 millimeters (mm)0.00187406 miles (mi)3.29834 yards (yd)9.89501 feet (ft)118.74 inches (in)Answer:
301.6
Step-by-step explanation:
circumference = πD
Diameter = r x 2
diameter = 48 x 2 = 96
96 x π = 301.592895
301.6 to 1dp
If you need further help, let me know!
- profparis
The bike store marks up the wholesale cost of all of the bikes they sell by 30%.
Andre wants to buy a bike that has a price tag of $125. What was the wholesale cost of this bike?
The wholesale price was $
( 10 / 13 ) * 125 = original price
( 10 / 13 ) * 125 = 96.15
If x = 9 units, y = 6 units, and h = 5 units, then what is the area of the parallelogram shown above?
Answer:
D. 45 unit
Step-by-step explanation:
parallelogram:
A = b . hA = 9 units × 5 unitsA = 45 unitsthe area of the parallelogram is 45 units(D.)
Solve for x.
[tex] \: \: \: [/tex]
[tex] \: \: \: \: \: [/tex]
Step-by-step explanation:
In the figure,
145° and 3x - 5 are vertically opposite angles which are equal, so
=> 3x - 5 = 145°
=> 3x = 145 + 5
=> 3x = 150°
=> x = 150°/3
=> x = 50°
Hope it helps you!!Answer:
x = 50
explanation:
vertically opposite angles are of equal measure.
solve:
3x - 5 = 145
3x = 145 + 5
3x = 150
x = 50
Min50 , Q1 62, median 84, Q3 96, Max 99
Using the interquartile range, which of the following are outliers? Select all correct answers.
Select all that apply:
3
6
21
60
Answer:
3 and 6
Step-by-step explanation:
IQR = Q3-Q1=96-62=34
Lower Outlier = Q1 - 1.5*IQR = 62 - 1.5*34 = 11
Any Value under 11 is Considered as Outlier
Then 3 and 6 are Outliers
Upper Outlier = Q3 + 1.5*IQR = 96 + 1.5*34 = 147
Any Value Above 147 is Considered as Outlier
There is no Value above 147
The Only Outliers are 3 and 6
A regular octagon has an apothem of approximately 3.5 cm and a perimeter of approximately 23.2 cm.
Find the area of the octagon.
Answer:
81.2 cm
Step-by-step explanation:
Consider the line y=9x-5. Find the equation of the line that is perpendicular to that line and passes through the point (-3,-3)
Answer:
y=(-1/9)x-(10/3)
Step-by-step explanation:
Since the line is perpendicular to y=9x-5, the slope of that line would be the opposite of the reciprocal of the original slope value. In this case, the slope of the line would be -1/9. So we have y=(-1/9)x+? Since we know a point, (-3, -3), we can input this back into our original equation and we have: -3=(1/3)+? We simplify and we have ?=-10/3. Therefore the final equation of the line that is perpendicular to that line and passes through the point (-3,-3) is y=(-1/9)x-(10/3).
A number is greater than or equal to three times another number. what are the numbers?
Answer:
THE AWNSWER IS A≥3B
Step-by-step explanation:
A≥3B
Which segments are perpendicular to
CD.
Answer:
GF where G is at (6,5) and F is at (10,2)
Step-by-step Explanation:
Perpendicular lines always have the negative reciprocal as the other line as their slope. This is such that (1/3) × (-3/1) = -1, so -3/1 is the negative reciprocal to 1/3.
This means we are looking for a line with the slope -3/4, and we can find the slopes by using the formula (y2 - y1)/(x2 - x1).
For the first option, LM, we get (9 - 3)/(-10 - 2) = 6/-12 = -1/2, so it is not this.
For the second option, GF, we get (2 - 5)/(10 - 6) = -3/4, which is the slope we were looking for. This means that the second option is our answer.
I hope this helps!
the smiths spend 11% of their budget on entertainment. their total budget this year is $1,000 more than last year, and this year they plan to spend $4,620 on entertainment. what was their total budget last year?
Answer: $41000 Was the Smiths family budget last year.
Step-by-step explanation:
First you take $4620 and DIVIDE it by .11 you will get $42000 and since last year had $1000 less to spend you subtract $1000 from $42000 to get $41000 for the budget last year.
write as many mathematical expressions or equations as you can about the image include a fraction, a decimal number, or a percentage in each.
Fundraiser
our Goal
250,000
Answer:
110/250
Step-by-step explanation:
If the fraction goal is 250 then put the 250 as the denomanator and the 110 as the top common denomanator.
Percentage of funds raised is 44 % , Fraction of funds raised is (11/25) and Fraction of funds raised in decimal form is 0.44.
What is Percentage?To find the % of a number, divide it by its value, then multiply the result by 100. Percentage is a relative value that denotes one tenth of any quantity. As one percent (symbolised as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.
As per the given data:
In the diagram given, we can find the total amount of funds to be raised and the amount of fund which is raised currently.
Total amount to be raised = $250,000
Amount already raised = $110,000
Percentage of funds raised = (110,000/250,000) × 100 = 44 %
Fraction of funds raised = (110,000/250,000) = (11/25)
Fraction of funds raised in decimal form = 0.44
Hence, Percentage of funds raised is 44 % , Fraction of funds raised is (11/25) and Fraction of funds raised in decimal form is 0.44
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(The question is incomplete, the complete question is given below.)
Saraid is dividing 1/4 pound of cashews into 5 plastic bags. What
fraction of a pound of cashews will be in each plastic bag?
Draw a model to help you solve.
(Please draw a model )
Answer: 20 Pounds
Step-by-step explanation:
1/4 X 5 = 1/20 then reverse it
20/1 = 20 Pounds
(may not be correct!!!)
please help worth a lot
Answer:
(-2, -3)
Step-by-step explanation:
when its relected its just flipping over the horizontal axis (x-axis) so in turn that is the answer! :) hope this helped you
Explain why knowledge of statistics is important.
Answer:
Statistical knowledge helps you use the proper methods to collect the data, employ the correct analyses, and effectively present the results. Statistics is a crucial process behind how we make discoveries in science, make decisions based on data, and make predictions.
Suzanne drove 3,000 miles in 75 hours. At
this rate, how long will it take her to drive
4,000 miles?
Answer: I believe that, at that specific rate, it will take Suzanne 100 hours to drive 4,000 miles.
Translate the sentence into an inequality.
The sum of six times a number and five is greater than the difference of three times a number and two.
if the sides of a triangle QRS are QR=10X-6, RS=6X-15,QS=X+24, find a range of possible values for X?
The range of the possible values for X will be;
⇒ X < 5
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The sides of a triangle QRS are;
⇒ QR=10X - 6,
⇒ RS = 6X - 15,
⇒ QS = X + 24,
Now,
We know that;
The sum of two sides of a triangle is always greater than the third side.
So, We can formulate;
⇒ 10X - 6 < (6X - 15) + (X + 24)
⇒ 10X - 6 < 7X + 9
⇒ 10X - 7X < 9 + 6
⇒ 3X < 15
⇒ X < 5
Thus, The range of the possible values for X will be;
⇒ X < 5
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Contessa is solving an absolute value inequality. She writes the compound inequality as her first step. Which inequality is Contessa solving?
The compound inequality that Contessa is solving is |8 - 3q| ≤ 7
What is an inequality?
An inequality is an expression that shows the non equal comparison between two or more numbers and variables.
Given the inequality:
-7 ≤ 8 - 3q ≤ 7
8 - 3q ≤ 7 and; 8 - 3q ≥ -7
8 - 3q ≤ 7 and; -(8 - 3q) ≤ 7
|8 - 3q| ≤ 7
The compound inequality that Contessa is solving is |8 - 3q| ≤ 7
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Answer
IT's C
Step-by-step explanation:
A boat is heading towards a lighthouse, whose beacon-light is 132 feet above the
water. The boat's crew measures the angle of elevation to the beacon, 5º. What is the
ship’s horizontal distance from the lighthouse (and the shore)? Round your answer to
the nearest tenth of a foot if necessary.
Applying the tangent ratio, the horizontal distance, rounded to the nearest tenth, is: 1,508.8 ft.
What is the Tangent Ratio?Tangent ratio, TOA, is expressed as, tan ∅ = opposite/adjacent.
The situation has been sketched in the diagram atatched below, where:
∅ = 5°Height of beacon = 132 ft (hypotenuse)The ship's horizontal distance from the light house = BC = ? (opposite)Apply the tangent ratio:
tan 5 = 132/BC
BC = 132/tan 5
BC = 1,508.8 ft.
Therefore, applying the tangent ratio, the horizontal distance, rounded to the nearest tenth, is: 1,508.8 ft.
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During the soccer season, Cathy made 27 of the 54 goals she attempted. Karla made 18 of the 45 goals she attempted. Patty made 34% of the goals she attempted. List the athletes in order of their goal-scoring percentage from least to greatest.
Answer:
Patty, Karla, Cathy
Step-by-step explanation:
The scoring percentage of goals attempted can be computed by dividing goals made by those attempted, then multiplying the result by 100%.
__
Cathy's rate is ...
27/54 × 100% = 50%
Karla's rate is ...
18/45 × 100% = 40%
Patty's rate is ...
given as 34%
__
By least to greatest scoring rate, the athletes are ...
Patty (34%), Karla (40%), Cathy (50%)
A triangle has side lengths of 54, 72 & 90. Is it a right triangle? Explain.
No, there always has to be an odd number for it to work out to be a right triangle.
No, it is obtuse.
No, it is acute.
Yes, the Pythagorean Theorem works out to be equal.
Yes, because 52 + 72 > 90.
Answer: C: Yes, the Pythagorean Theorem works out to be equal.
Step-by-step explanation:
to test if a triangle is right angled or not, just use the Pythagorean Theorem:
a²+b²=c², where a and b are the two shorter sides of the triangle, and c is the longest side.
plugging this in:
54²+72² ?= 90²
2916 + 5184 ?= 8100
8100 = 8100
Yes! Its correct, so we know that this triangle is a right triangle. the justification is C: Yes, the Pythagorean Theorem works out to be equal.
What is the solution to 4(y–3)+19=8(2y+3)+7 ? A. −12 B. 12 C. −2 D. 2
Answer:
C. -2
Step-by-step explanation:
4(y–3)+19=8(2y+3)+7
4y-12+19=16y+24+7
4y+7=16y+31
-12y=24
12y=-24
y=-2
Answer:
4(y-3)+19=8(2y+3)+7
4y -12 +19=16y+24+7...
-12+19-24-7=16y-4y
-24=12y÷12
-2=y...
•
•. • C.-2...
A rectangle of perimeter 18 in. is rotated about one of its sides to generate a right circular cylinder. Find the rectangle which generates the cylinder of largest volume has area in square inches.
The volume of the cylinder from the rectangle is the size of the cylinder
The rectangle that generates the cylinder of the largest volume is 3 inches by 6 inches
How to determine the rectangleLet the dimension of the rectangle be x and y.
So, the perimeter (P) is:
[tex]P = 2 * (x + y)[/tex]
The perimeter is given as 18.
So, we have:
[tex]2 * (x + y) = 18[/tex]
Divide both sides by 2
[tex]x + y = 9[/tex]
Make y the subject
[tex]y = 9 - x[/tex]
The volume of a cylinder is:
[tex]V = \pi r^2h[/tex]
So, we have:
[tex]V = \pi x^2(9 -x)[/tex]
Expand
[tex]V = \pi(9x^2 -x^3)[/tex]
Differentiate
[tex]V' = \pi(18x -3x^2)[/tex]
Set to 0
[tex]\pi(18x -3x^2) = 0[/tex]
Divide both sides by [tex]\pi[/tex]
[tex]18x -3x^2 = 0[/tex]
Divide both sides by 3x
[tex]6 -x = 0[/tex]
Make x the subject
[tex]x = 6[/tex]
Recall that:
[tex]y = 9 - x[/tex]
So, we have:
[tex]y = 9 - 6[/tex]
[tex]y = 3[/tex]
Hence, the rectangle that generates the cylinder of the largest volume is 3 inches by 6 inches
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If b-10 = 5, what is the value of b-6?
The answer is 21. Hope this Helps!
Please help I’ll give brainlyest
Answer:
80m^3
Step-by-step explanation:
Here,
For the base of pyramid which is a rectangle,
length(a) = 8m
breadth(c) = 5m
For the pyramid,
actual height (h) = 6m
Now,
The formula for the Volume of a rectangular based pyramid is,
1/3 * Area of base rectangle * height
= 1/3 * (a*c) * 6 [ Because area of rectangle is product of its two sides, length and breadth]
= 2 * 8 * 5
80m^3
Find the product of -8y^2(2y^2+7y-5) PLEASE HELP
What is the name of our number system?
decimal system is the name of our number system.
Answer:
Our Number System is Hindu Arabic Number System.
The digits are: 0,1,2,3,4,5,6,7,8,9
How many different 4 letter passwords can be created if the letters can be
repeated?
Answer:358800
Number of dispositions of 4 letters without repetitions of the alphabet (26 letters): 26*25*24*23=358800
Step-by-step explanation:
The difference between 2.4 and a number is 1.61, as shown below. What number should go in the box to complete the subtraction problem?
Answer:
4.37
Step-by-step explanation:
23.8+ 4.37= 28.17