Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Cancel the common factor of 4 and 10 .
Question 24
.........................................................
Answer:
Step-by-step explanation:
A restaurant owner is replacing the restaurant’s bathroom floor with square tiles. The tiles will be laid side-by-side to cover the entire bathroom with no gaps, and none of the tiles can be cut. The floor is a rectangle that measures 24 feet by 18 feet.
a.What is the largest possible tile size she could use? Write the side length in feet. Explain how you know it’s the largest possible tile.
b.How many of these largest size tiles are needed?
c.Name more tile sizes that are whole number of feet that she could use to cover the bathroom floor. Write the side lengths (in feet) of the square tiles.
Answer: A. 9x9 tiles are the biggest ones that she can use. B. 48 C. Examples are: 8x8, 6x6, 4x4, 3x3, 2x2, and 1x1 ft
Step-by-step explanation: If the area is 432 ft. then you would have to find the tiles that can be put in there but can also be equally divided by the number.
The number of tiles will be 108. And the largest possible tile size she could use will be 2 feet.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A restaurant owner is replacing the restaurant’s bathroom floor with square tiles.
The tiles will be laid side-by-side to cover the entire bathroom with no gaps, and none of the tiles can be cut.
The floor is a rectangle that measures 24 feet by 18 feet.
Then the area of the bathroom will be
Area = 24 x 18
Area = 432 square feet
Let n be the number of tiles and a be the side length of the square tile.
na² = 432
If a = 1, Then the number of tiles will be
n = 432
If a = 2, Then the number of tiles will be
n x 2² = 432
n x 4 = 432
n = 108
The number of tiles will be 108. And the largest possible tile size she could use will be 2 feet.
More about the geometry link is given below.
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Mrs. Smith has $20,000 to invest. She wants to earn $10,000 in interest. She is considering a savingsand loans bank that is offering her 5.6% interest per year. For how long will she have to leave her money in the bank in order to reach her goal of $10,000?
Answer:
Number of year to get $10,000 as interest = 7.5 year (Approx)
Step-by-step explanation:
Given:
Initial investment = $20,000
Interest on investment = $10,000
Rate of interest = 5.6% = 0.056
Find:
Number of year to get $10,000 as interest:
Computation:
[tex]Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44[/tex]
Number of year to get $10,000 as interest = 7.44
Number of year to get $10,000 as interest = 7.5 year (Approx)
Urgent!!!The principal ordered three pizzas for the twelve students of the month. If each pizza has 8 pieces, what is the ratio of pieces of pizza to students of the month?
Reduce your answer to lowest terms.
Answer: 8:12?
Step-by-step explanation:
Answer: 32/12 = 8/3
Step-by-step explanation:
4 pizzas = 32 pieces
12 students
so, the ratio is
32/12 = 8/3
Fill in the blank to make this statement true: (0,0) is a solution to _________ equation(s) in the form y=kx. no one some all
Answer:
All
Step-by-step explanation:
Answer:
All
Step-by-step explanation:
Hope this helps
PLEASE HELP ME ASAP PLEASE!!!Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent. You draw one card at random from a shuffled deck of 52 playing cards. the deck has 13 card suits (diamonds, hearts,clubs,spades)
The probability expressed as a fraction is
The probability expressed as a decimal is
The probability expressed as a percent is
Answer:
for diamond or spade: 1/2= 0.5 = 50%
Step-by-step explanation:
13/52 = 1/4 to diamond, heart, club or spade
1/4= 0.25
0.25*100% = 25%
If we need to choose diamond or spade,
1/4 for diamond, 1/4 for spade
diamond or spade: 1/4+ 1/4=1/2
1/2 = 0.5 = 50%
Answer:
2/4
0.50
50%
Step-by-step explanation:
If its a diamond or spade then it is it is basically written as 2/4 since there is 4 suits and your trying to pull 2 out of the four. 50% converts to 2/4 and you can turn 50% to decimal by putting a decimal point and a 0 to get 0.50
hey i need help I need help finding these...
o (x coordinates added/2, y coordinates added/2)
o If a line is parallel to one side of a triangle and intersects the other two sides in two distinct points, then it separates these sides into segments of proportional lengths.
o If the three sides of a triangle are proportional to the three sides of another triangle, then the triangles are similar
o If two angles of a triangle are congruent to two angles of another triangle, then the triangles are similar
o If two sides of a triangle are proportional to two sides of another triangle and if their included angles are congruent, then the triangles are similar
o a point that divides a line segment into two congruent parts
o a segment between two points A and B with a specified direction from A to B or from B to A and a standard distance between the two points
o a transformation that changes the size but not the shape of a figure, either by enlarging or shrinking it
o a transformation that changes the size but not the shape of a figure, either by enlarging or shrinking it
o absolute value of the scale factor is greater than one. enlargement
o absolute value of the scale factor is less than one. reduction
o an angle bisector in a triangle separates the opposite side into segments that have the same ratio as the other two sides
o an equation stating that two ratios are equal
o if a directed line segment has endpoints (x1, y1) and (x2, y2), the coordinates of the point that separates the directed line segment into a ratio of m:n are:
o if a line intersects two sides of a triangle and separates the sides into corresponding segments of proportional lengths, then the line is parallel to the third side.
o if a point separates the side of a triangle into segments that have the same ratio as the other two sides, then the line segment from the opposite vertex to the point bisects the angle
o
Answer:
2. Given the points A, B, C, D, calculate:
(a) the angle B of the triangle ABC
(b) the area of the triangle ABC
(c) the median BE of the triangle ABC
(d) the height AH of the triangle ABC
(e) the volume of tetrahedron ABCD
(f) the point E so that ABCE is a parallelogram.
A(-1, 2, -3), B(4, -1, 0), C(2, 1, -2), D( 3,4,5)
Step-by-step explanation:
What is the vertex of the graph of the function f(x) = x^2 + 8x − 2 ?
a (−4, 18)
b (0, -2)
c (-8, -2)
d (−4, −18)
Answer:
The vertex is at (-4, -18) (Fourth answer choice)
Step-by-step explanation:
The standard vertex equation of a parabola is f(x) = (x - h)^2 + k.
"Completing the square" is one of the faster and better ways of determining the vertex:
f(x) = x^2 + 8x - 2 => f(x) = x^2 + 8x + 16 - 16 - 2 => (x + 4)^2 - 18. Comparing this to (x - h)^2 + k, we see that h = -4 and k = -18. The vertex is at (-4, -18).
Someone can help me please ......
The attached picture has all the work as well as the answers, boxed, for you. :D
The diameter of a circle is 6 units.
What is the radius of the circle?
units
Answer:
3
Step-by-step explanation:
Branliets plz
A cylinder has a radius of 5 cm and a height of 10 centimeters What is its volume?
Answer:
785.4
Step-by-step explanation:
[tex]\pi[/tex] x 5^2 x 10 = 785.4
If I helped, please mark as brainliest :>
G = 3t2 – 5t + 6
P= -8t² + 7t – 9
G + P=
Your answer should be a polynomial in standard
form.
Answer:
-5t² + 2t - 3
Step-by-step explanation:
G = 3t2 – 5t + 6
P = -8t² + 7t – 9
G + P
= (3t² – 5t + 6) + (-8t² + 7t – 9)
= 3t² - 8t² - 5t + 7t + 6 - 9
= -5t² + 2t - 3
What is the first step in solving quadratic equations by finding square roots?
Answer:
Give the positive and negative answer
Step-by-step explanation:
Answer:
The first step in solving quadratic equations is to isolate the squared term by adding or subtracting any constant term to both sides.
Step-by-step explanation:
Please answer fast
Solve the following system of equations graphically. Click on the graph until the correct solution of the system appears.
y = -3
x - y = 8
Answer:
[tex](5,-3)[/tex]
Step-by-step explanation:
Solve by Graphing.
Graph the lines.
When we graphed them, the intercepted at point (5,-3).
The solution the the system of equations is (5,-3).
Answer:
5,-3
Step-by-step explanation:
a) A graph is drawn below.
Explain how you know that y is not directly proportional to x.
Answer:
Because the line doesn’t start at 0 and that shows that y is not proportional to x.
Step-by-step explanation:
That is all you have to write
A graph can show direct, inverse and joint proportions.
y is not directly proportional to x because the graph does not pass through the origin
From the graph, we can see that:
When x = 0, y > 0
i.e. y is greater than 0, when x equals 0
This means that, the equation of the graph is:
[tex]\mathbf{y = mx + b}[/tex], where b > 0
A proportional equation is represented as:
[tex]\mathbf{y = mx}[/tex]
Hence, y is not directly proportional to x because the graph does not start from the origin
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A data set is normally distributed with a mean of 115 and a standard deviation of 23. What is the probability that a value in the data set is greater than or equal to 162?
The probability is about __
Answer:
The probability that a value in the data set is greater than or equal to 162
P(X≥162) = 0.0207
Step-by-step explanation:
Step(i):-
Given mean of the Population = 115
Given standard deviation of the Population = 23
Let 'x' be the random variable of normal distribution
Let x = 162
[tex]Z = \frac{x-mean}{S.D} = \frac{162-115}{23}[/tex]
z = 2.043
Step(ii):-
The probability that a value in the data set is greater than or equal to 162
P(X>x) = P(Z>z) = P(Z> 2.043)
P(X≥162) = P(Z≥2.043) = 1-P(Z≤ 2.043)
= 1- ( 0.5 +A(2.043)
= 1-0.5 -A(2.043)
= 0.5 - 0.4793
= 0.0207
Final answer:-
The probability that a value in the data set is greater than or equal to 162
P(X≥162) = 0.0207
Find the nth term of the sequence 8,10,12,14,16
Answer:
18
Step-by-step explanation:
The pattern goes in even number increments of two.
Hope this helps :)
What is the area of this isosceles trapezoid?
96 square units
60 square units
72 square units
48 square units
What’s the area of this tile?
Answer:
A=24
Step-by-step explanation:
Area for triangle = 1/2b(h)
so 1/2(6)8=24
The area of a square is 196 square meters. What is
the length (in meters) of one side of the square?
Answer:
14 meters
Step-by-step explanation:
A square must have all equal sides, meaning the square root of 196 would be the length and width of the square, the square root of 196 is 14.
W varies inversely as the square of t. If W = 12 when t = 2,
find t when W = 27.
A. 27t = 24
B. 27t2 = 48
C. 108 = 12t
D. 12t = 54
Answer:
B
Step-by-step explanation:
Given W varies inversely as t² then the equation relating them is
W = [tex]\frac{k}{t^2}[/tex] ← k is the constant of variation
To find k use the condition W = 12 when t = 2, thus
12 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
k = 48
W = [tex]\frac{48}{t^2}[/tex] ← equation of variation
When W = 27, then
27 = [tex]\frac{48}{t^2}[/tex] ( multiply both sides by t² )
27t² = 48 → B
B) 27 t² = 48 will be the algebraic equation for t if W = 27.
What is proportionality?In arithmetic, proportional or proportional meaning denotes equivalence between two ratios. In the equation a/b = c/d, a and b have the same percentage as c and d. A percentage is primarily established for solving a word problem using one of its four unknown quantities.
Given W varies inversely proportional to t² then the algebraic equation relating them is
W = k / t² is the constant of variation
for k we can use the condition W = 12 when t = 2,Hence,
12 = k / 2²
k = 48
When W = 27, then
27 = 48 / t² ( multiply by t² )
Therefore, t in the form of algebraic equation is 27 t² = 48 Hence, option B is correct.
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Need help with this question
Answer:
Triangle IV
Step-by-step explanation:
i’ll give 17 points for this!
Answer:
90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
The reason why it is 90 because it looks like it is going in order so it would be 55 , 90 , 92 , 114
Hope i was to explain this real good Hope this is rightBrainliest plzf(1)=-3
f(n)=2*f(n-1)+1
f(2)....
Answer:
6
Step-by-step explanation:
when u substitude the value of n as 2
u get 2*2-1+1=6
hope this helps
there is a mistake in question that f(1)= -6
but i have answered correctly
pls mark me brainliest
Answer:
f(2)= - 5
Step-by-step explanation:
hello :
f(1)=-3
f(n)=2f(n-1)+1
n=2 : f(2) = 2f(2-1)+1 = 2f(1)+1 but f(1) = -3
so : f(2)=2(-3)+1 =-6+1=-5
i really don't understand math
Answer:
b = 6 mm
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
b² + 8² = 10²
b² + 64 = 100 ( subtract 64 from both sides )
b² = 36 ( take the square root of both sides )
b = [tex]\sqrt{36}[/tex] = 6
b = 6 mm
Step-by-step explanation:
To find the missing side of a right triangle, we can use the Pythagorean theorem. This is...
[tex]a^2+b^2=c^2[/tex]
It is important to know that c will always be the hypotenuse, or in this case 10. We can plug everything we know from the picture into the theorem.
[tex]8^2+b^2=10^2[/tex]
[tex]64+b^2=100[/tex]
Subtract 64 from both sides.
[tex]b^2=36[/tex]
A lot of people make the mistake of thinking the final answer is 36, but since b is squared we need to find the square root of 36.
[tex]\sqrt{36}=6[/tex]
b = 6
Which number line best shows how to solve - 2 - (- 10) ?
Answer:
A)
Step-by-step explanation:
As a rule of thumb, two negative signs directly next to each other becomes a positive sign. Simplify:
-2 - (-10) = -2 + 10 = 8
The only number line in which it ends at 8 is A, therefore, A) is your answer.
~
Answer:
the first one
Step-by-step explanation:
-2 - -10 = 8
Complete section for 18 points.
Answer:
2,3,4,6, and 8
Step-by-step explanation:
2 is divisible by 24 because it is a multiple of 24
3 is divisible by 24 because it is a multiple of 24
4 is divisible by 24 because it is a multiple of 24
6 is divisible by 24 because it is a multiple of 24
8 is divisible by 24 because it is a multiple of 24
i am not sure about the explain.
i suck at explaining things
Test each of the following to see if it is divisible by 2,3,4,5,6,8,9,10, or 25 and say why.
1)24Answers:
Divisible by 2: yes, because it is an even number. The even numbers are those which end in 0, 2, 4, 6, or 8. Result: 24/2 = 12
Divisible by 3: yes, because the sum of its digits is a multiple of 3: 2 + 4 = 6 is a multiple of 3. Result: 24/3 = 8
Divisible by 4: yes, result: 24/4 = 6
Divisible by 5: no, because a number is divisible by 5 if it ends in 0 or 5.
Divisible by 6: yes, because it is divisible by 2 and by 3, then it is divisible by 6. Result: 24/6 = 4.
Divisible by 8: yes, result: 24/8 = 3
Divisible by 9: no, because the sum of its digits is not a multiple of 9.
Divisible by 10: no, because a number is divisible by 10 if it ends in 0.
Divisible by 25: no, because 25 is a number greater than 24.
SpymoreWill mark brainliest!
Answer:
48
Step-by-step explanation:
6*8 = 48
I've seen you so "Will mark brainliest," many times today. Do not export people if that is what you're doing.
Answer:
Your answer is 48 sq. ft.
Step-by-step explanation:
Why? Because A= L(W) Therefore, A= 8(6)=48
Henrietta bought 4 hats for $8.99 each and 3 pairs of sunglasses. Eseh pair of sunglasses cost $7. She
gave $50 to the cashier. How much more money does she need to give the cashier to pay for the hats
and sunglasses?
$5.96
O $6.96
O $0.96
$8.96
Answer:
$6.96
Step-by-step explanation:
(4*8.99) + (3*7)
35.96 + 21 = 56.96
50- 56.96 = -6.96 So she owes 6.96
Which theorem or postulate could be used to prove the congruence of the triangles?
Answer:
Yes! There's the Side-Angle -Side postulate, or SAS. This states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
Step-by-step explanation:
The postulate used to prove the congruence of the triangles is ASA.
Option B is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Two right triangles.
∠90° = ∠90°
side = side (given)
Angle = Angle (given)
By ASA (angle side angle)
The triangles are congruent.
Thus,
The postulate is ASA.
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