Explain how to find which value is greater (5/6)*81 or (9/10)*81 without multiplying?
Answers
The value (9/10)*81 is greater than (5/6)*81
How to determine the greater value?The values are given as:
(5/6)*81 and (9/10)*81
Remove the common factor in both values
So, we have:
5/6 and 9/10
Convert to decimals
0.83 and 0.9
0.9 is greater than 0.83
Hence, (9/10)*81 is greater than (5/6)*81
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Related Questions
5. If 2x - y = 10 then for x= 8 what is the value of y?
a) 7
b) 6
C) 5
d) 4
Answers
if x=8 then you need to plug in 8 for your in the equation, so you’d have 2(8) - y = 10
you’d get: 16 - y = 10
you’d then subtract 16 from both sides to get -y alone
so now you have -y = -6
you can’t have a -y so you’ll have to divide -1 from both sides
you’ll end up with y=6, which is your answer
lve for m.
-3 + m
9 = 10
A.
-30
B.
63
C.
87
D.
93
Answers
The value of m that satisfies the equation -3 + m = 9 is m = 12.
To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.
-3 + m = 9
To move -3 to the other side, we can add 3 to both sides of the equation:
-3 + 3 + m = 9 + 3
Simplifying, we have:
m = 12
Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.
None of the provided answer options (A, B, C, D) match the correct solution.
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Does 15 20 25 form a right triangle?
Answers
Any triple would still represent the sides of a right triangle if we multiplied it by a constant. Therefore, the sides of a right triangle would be represented by 6, 8, 10, 15, 20, and 25, among countless other numbers.
What is right triangle?
A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and other angles of the right triangle.
Input the Pythagorean Theorem with the given numbers:
c^2 = a^2 + b^2
25^2 = 15^2 + 20^2
625 = 225 + 400
625 = 625
Yes, the numbers 15, 20 and 25 form a right triangle and the Pythagorean triple.
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If the the price of a pair of shoes is 35$ before tax and the tax is 20% what will the final price of the shoes be
Answers
Answer:
$42
Step-by-step explanation:
You want the price with tax of a $35 pair of shoes subject to a 20% tax.
Price with taxThe tax is the cost of the shoes multiplied by the tax rate. The final price is the sum of the cost of the shoes and the tax:
final price = price + price × tax rate
final price = price × (1 + tax rate) = $35 × 1.20 = $42
The final price of the shoes is $42.
Answer:
42$
Step-by-step explanation:
tax increase will be
20% of 35$
= 20/100 × 35
= 7$
Final price = Old price + Tax
= 35 + 7
= 42$
ILL MARK BRAINLIEST PLEASE HELP
A maximum can occur at the each of the following except
A. A vertex
B. An intersection of constants
C. A point outside the unbounded region
D. Within the bounded region
Answers
1. Give an example of a radical inequality that would not need restrictions. Explain your reasoning.
Answers
Step-by-step explanation:
a restricting is only necessary, if we need to limit the x values or the y values for various reasons.
the limit for the x values are to eliminate any values that would create an invalid or otherwise undefined result.
otherwise the inequality itself establishes a restriction already.
e.g. sqrt(x) + 3 >= 1 would need an additional restriction
x >= 0 to know we can't even try small negative x to find out verify the solution.
something like
sqrt(x² + 3) >= 1 does not need any further restrictions, because we can use any value for x, from - infinity to +infinity. and the inequality will always be valid.
also consider, that the left side can never get smaller than sqrt(3) which is larger than 1. so, really everything goes.
we could say something like
sqrt(x² + 16) >= 5
we still don't need to give any additional restrictions, but the inequality itself rules out all x that are
-3 < x < 3.
A fruit juice drink is 3/7
water and 1/6 fruit juice (by weight). Other additives (primarily sugar) make up what fraction of its weight?
Answers
Answer: 1-5/7-1/6=42/42-30/42-7/42=5/42
Step-by-step explanation:
SOLVE FOR D
S=D/T
THANK YOU
Answers
answer this pleaseEeeeeeee
Answers
Answer:
no solution ?
Step-by-step explanation:
Answer:
Infinitely many solutions because the system of equations are the exact same.
Please explain your answer to the question in the picture with steps, thank you.
Answers
Answer:
(a) y = x/8
(b) y = 7/8
Step-by-step explanation:
You want a direct variation equation that relates x and y, given y = 2 when x = 16.
(a) Direct variationThe equation for direct variation is usually written in the form ...
y = kx
where k is the constant of proportionality.
The value of k can be found from ...
k = y/x . . . . divide by x
For the given values, k is ...
k = 2/16 = 1/8
The direct variation equation is ...
y = (1/8)x
(b) Find yThe value of y for x=7 is found by substituting 7 for x in the equation above:
y = (1/8)·7
y = 7/8
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If leah has 22 boxes she gives 12 boxes to her mom how many boxes does leah have left
Answers
Subtract the amount she gives her mom from the total amount she has:
22 - 12 = 10
She has 10 boxes left.
11. What is the difference between the weights of planes C and D? Explain how to use mental math to solve. - C: 56,984 D: 79,473 - The difference in weights is ______ pounds. The difference in weights is given by the expression _______ - _______. Compensation can be used to rewrite this so that the second number is the next greater multiple of 1,000. Doing this gives the new expression ______ - ______. The value of this new expression is _____________. (Type whole numbers.)
Answers
Answer:
22,48979,473 - 56,98479,489 - 57,00022,489Step-by-step explanation:
Based on the clues in the problem wording, we assume the numbers given for C and D are the weights of planes, in pounds. For whatever reason, we seem to be interested in the difference of those weights.
The difference in weights is 22,489 pounds.
The difference in weights is given by the expression 79,473 - 56,984.
We can add 16 to both numbers to make the second number a multiple of 1000. To compensate, we also add 16 to the first number.
Doing this gives the new expression 79,489 - 57,000.
The value of this expression is 22,489.
_____
Additional comments
A number of thinking processes are taught for mental math. In this process, you recognize that 984 is near 1000, so you can add a small number to make all the rightmost digits be zeros. That number will have the digits that "make a ten" working from right to left. 4 needs 6 added to make a 10. Adding 6 to 84 makes it 90. Then the 9 needs 1 added to make a 10. Now, we have 984 with 16 added, which makes 1000. Adding that 16 to 79473 to make 79489 completes the transformation we're looking for: 79489 -57000.
De los 12 jugadores del equipo 2/8 son delanteros
Answers
There are a total of 3 forwards on the team.
How many forwards are there on the team?A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar
Given:
2/8 of the players are forwards.
Total number of players on the team = 12
We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.
Fraction representing the forwards:
= 2/8
= 1/4
Total forwards on the team:
= 12 * (1/4)
= 3.
Translated question:
Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?
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The probability that it will snow on Sunday is 3/5. The probability that it will snow on both Sunday and Monday is 3/10. What is the probability that it will snow on Monday, if it snowed on Sunday?
Answers
Answer:
1/2
Step-by-step explanation:
Probability of snowing on both Sunday and Monday= probability that it will snow on Sunday × probability that it will snow on Monday.
(and usually means multiply the probabilities while or implies addition of the probabilities).
Let probability of snowing on Monday be P
Hence 3/10=3/5× P
Hence P=(3/10) divided by (3/5) = 1/2
Sarah predicted that she could text 80 words
per minute on her phone. However, she only
texted 52 words per minute. What was Sarah's
percent error?
Prediction Actual |
| Actual |
Round to the nearest percent.
Hint: Percent error =
-
x 100
Answers
Answer:
20
Step-by-step explanation:
percentage error = predictions - actual ÷actual × 100
error
\( \frac{82 - 52 \\ }{52} \times 100\)
=
20
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answers
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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The length of a rectangle is nine more than triple the width. If the perimeter is 98 inches, find the dimensions. The width is ___inches. The length is ___ inches.
Answers
Given a rectangle of which its length is nine more than triple the width. The width is _10_inches. The length is 39 inches.
Let:
l = length of the rectangle
w = width of the rectangle
"The length of a rectangle is nine more than triple the width" can be translated as:
l = 9 + 3w
perimeter = 2 l + 2w
Substitute perimeter = 98 and l = 9 + 3w into the perimeter equation:
98 = 2 x (9 + 3w) + 2w
98 = 18 + 8w
8w = 98 - 18
8w = 80
w = 80/8 = 10 inch.
Substitute w = 10 into the length equation:
l = 9 + 3w
l = 9 + 3 x 10
l = 9 + 30 = 39
Therefore the correct answer is:
The width is _10_inches. The length is 39 inches.
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Determine whether RSP or LMN is similar to ABC
Answers
The only triangle that is similar to triangle ABC is triangle RST.
Describe Congruency of triangle?In geometry, congruency refers to the property of having the same size and shape. When applied to triangles, congruency means that two triangles have exactly the same shape and size. More specifically, two triangles are said to be congruent if their corresponding sides and angles are equal.
There are several ways to show that two triangles are congruent, including:
Side-Side-Side (SSS): If the three sides of one triangle are equal in length to the three sides of another triangle, the two triangles are congruent.
Side-Angle-Side (SAS): If two sides and the included angle of one triangle are equal in length to two sides and the included angle of another triangle, the two triangles are congruent.
Angle-Side-Angle (ASA): If two angles and the included side of one triangle are equal in measure to two angles and the included side of another triangle, the two triangles are congruent.
Hypotenuse-Leg (HL): If the hypotenuse and one leg of a right triangle are equal in length to the hypotenuse and one leg of another right triangle, the two triangles are congruent.
When two triangles are congruent, they have the same shape and size, which means that they have exactly the same angles and side lengths. This property is useful in geometry, as it allows us to prove various geometric theorems and solve problems involving triangles.
To determine if two triangles are similar, we need to check if their corresponding angles are congruent and their corresponding sides are proportional.
Let's start by checking the angles. We can use the Law of Cosines to find the angles of triangle ABC:
∠A = cos⁻¹((18² + 19² - 20²)/(21819)) ≈ 26.57°
∠B = cos⁻¹((19² + 20² - 18²)/(21920)) ≈ 53.13°
∠C = cos⁻¹((20² + 18² - 19²)/(22018)) ≈ 100.3°
Next, we can find the angles of triangles RST and LMN. However, we do not need to calculate their exact values to determine if the triangles are similar, we only need to check if their corresponding angles are congruent.
Therefore, let's compare the corresponding angles of triangle ABC, triangle RST, and triangle LMN.
∠A in triangle ABC corresponds to ∠R in triangle RST and ∠L in triangle LMN.
∠B in triangle ABC corresponds to ∠S in triangle RST and ∠M in triangle LMN.
∠C in triangle ABC corresponds to ∠T in triangle RST and ∠N in triangle LMN.
If the corresponding angles are congruent, then we can move on to checking if the corresponding sides are proportional.
Let's check if the corresponding sides are proportional:
AB/RS = 20/40 = 1/2
BC/ST = 18/36 = 1/2
CA/TR = 19/38 ≈ 0.5
The ratios of the corresponding sides are all equal to 1/2, which means the corresponding sides of triangles ABC and RST are proportional.
LM/LN = 30/38 ≈ 0.789
MN/NT = 27/30 = 0.9
NL/LM = 38/30 ≈ 1.267
The ratios of the corresponding sides of triangles LMN and ABC are not proportional, which means triangle LMN is not similar to triangle ABC.
Therefore, the only triangle that is similar to triangle ABC is triangle RST.
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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
216
,
36
,
6
,
.
.
.
216,36,6,...
Find the 7th term.
Find the 7th
Answers
Answer:
\(\dfrac{1}{216}\) = 0.005 (nearest thousandth)
Step-by-step explanation:
geometric series formula: \(a_n=ar^{n-1}\)
where a is the first term and r is the common ratio
Given:
\(a_1=216\)\(a_2=36\)\(a_3=6\)\(r=\dfrac{a_2}{a_1}=\dfrac{36}{216}=\dfrac16\)
\(\implies a_n=216 \cdot \dfrac16^{n-1}\)
\(\implies a_7=216 \cdot \dfrac16^{7-1}=\dfrac{1}{216}=0.005\)
What are the coordinates of the point on the directed line segment from ( − 7 , 9 ) (−7,9) to ( 3 , − 1 ) (3,−1) that partitions the segment into a ratio of 2 to 3?
Answers
The coordinates of the point on the directed line segment from (-7, 9) to (3, -1) that partitions the segment into a ratio of 2 to 3 are (-3, 5).
To find the coordinates of the point that divides the directed line segment from (-7, 9) to (3, -1) into a ratio of 2 to 3, we can use the section formula.
Let's label the coordinates of the desired point as (x, y). According to the section formula, the x-coordinate of the point is given by:
x = (2 * 3 + 3 * (-7)) / (2 + 3) = (6 - 21) / 5 = -15 / 5 = -3
Similarly, the y-coordinate of the point is given by:
y = (2 * (-1) + 3 * 9) / (2 + 3) = (-2 + 27) / 5 = 25 / 5 = 5
Therefore, the coordinates of the point that divides the line segment in a ratio of 2 to 3 are (-3, 5).
To understand this conceptually, consider the line segment as a distance from the starting point (-7, 9) to the ending point (3, -1). The ratio of 2 to 3 means that the desired point is two-thirds of the way from the starting point and one-third of the way from the ending point. By calculating the x and y coordinates using the section formula, we find that the desired point is located at (-3, 5).
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In the rectangle below, FH=8x-4, E1=22, and m Find the value of x and mLIHG.
Answers
FH = EG
EG = 2EI ⇒ FH = 2EI = 2(22) = 44
8x - 4 = 44 ⇔ 8x = 44 + 4 ⇔ 8x = 48 ⇔ x = 48/8
⇒ x = 6
m∠EGH = 90°-m∠GEH = 90°-m∠IEH = 90°-28° = 62°
m∠EGH = m∠IGH = m∠IHG
⇒ m∠IHG = 62°
(a) Write an equation in terms of x that represents the problem.
(b) Solve the problem.
The difference of a number and 16 is the same as the product of the number and 3. Find the number.
Answers
Answer:
-8
Step-by-step explanation:
x - 16 = 3x
Solve for x
-2x = 16
x = -8
A bag contains 4 red marbles, 6 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be blue?
Answers
Answer:
.070
Step-by-step explanation:
Answer:
0.94
Step-by-step explanation:
5/11 is .455
11 total marbles 5 are green
but thats the probability of just one draw
so .455 x .455 x .455 is .094 for three separate draws
Write a number in the blank that makes this number sentence true.
43 + 29 = ___ + 60
Answers
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Under Todd’s new cable television plan, his bill averages $63 per month. This is 140% of his average monthly bill last year when he had the basic cable package. What was his average monthly cable bill last year?
Answers
Answer:
45
Step-by-step explanation:
translation :
140% of x = $63
x = $63 ÷ 1.4
x = $45
FUN FACTS :
interesting: 100% means double that number or times 2
if a price is $20 & it increases 100% in price that means its $20 times 2 or $40
percent means per 100
cent means 100 in latin
that's why the decimal moves 2 spaces
for the 2 zeros in 100
chatgpt
Find the z score for the following means taken from a population with mean 10 and standard deviation 2:
a.M = 8, n = 12
b.M = 8, n = 30
c. M = 20, n = 4
d. M = 20, n = 16
Please show your work
Answers
The z-scores are approximately -1.73 for part (a), -3.09 for part (b), 5 for part (c), and 10 for part (d).
How to Calculate Z-score?To find the z-score, we need to use the formula:
z = (x - μ) / (σ / √n)
where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
a. M = 8, n = 12
z = (8 - 10) / (2 / √12) ≈ -1.73
b. M = 8, n = 30
z = (8 - 10) / (2 / √30) ≈ -3.09
c. M = 20, n = 4
z = (20 - 10) / (2 / √4) = 5
d. M = 20, n = 16
z = (20 - 10) / (2 / √16) = 10
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What is the equation of the line that passes through the point (-3, 7) and has a slope of -5/3?
Answers
The equation of the line that passes through the point (-3, 7) and has a slope of -5/3 is y - 7 = (-5/3)(x + 3).
We are given the point (-3, 7) and the slope of the line as -5/3.The slope-intercept form of a line is y = mx + b where m is the slope and b is the y-intercept.
To obtain the equation of the line, we need to substitute the values of slope and point in the slope-intercept form and solve for b.(7) = (-5/3)(-3) + b 21/3 = b.
Now we have the value of b, and we can substitute the values of m and b in the slope-intercept form.y = (-5/3)x + 21/3 is the equation of the line in slope-intercept form.
To obtain the equation in the standard form Ax + By = C, we multiply each term by 3.3y = -5x + 7Add 5x to both sides5x + 3y = 7.
This is the equation of the line in standard form.
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12a
A boy is standing on the very edge of a cliff that is 58.8 m high. The boy throws a rock straight up in the air at 7.36 m/s. (a) What is the rock's velocity when it hits the ground? (use up as the positive direction)
How long (from the time it was thrown) will it take for the rock to hit the ground?
What is the total distance traveled by the rock?
Answers
Answer:
The exact same from when it went up
Step-by-step explanation:
it never said the rock was thrown at a angle besides directly up and the boy didn't move so it hit his head
Can someone please help me thank you! will mark brainliest!
Answers
Answer:
Step-by-step explanation:
Every triangle's angles MUST add up to 180. Therefore, 43 + 43 + (6-8x) must be equal to 180. So:
43 + 43 + (6 - 8x) = 180
86 + (6 - 8x) = 180
6 - 8x = 94
-8x = 88
x = -11
find the squares of (m-1)
Answers
Answer:
Solution
verified
Verified by Toppr
m
2
−3m−1=0
m
2
−3m=1 → (1)
Third term =(
2
1
coeeficientofm)
2
(
2
1
×(−3))
2
=(
2
−3
)
2
=
4
9
Adding
4
9
to both sides of equation (1), we get
m
2
−3m+
4
9
=1+
4
9
∴ m
2
−3m+
4
9
=
4
4+9
∴ (m−
2
3
)
2
=
4
13
Taking square roots on both sides
∴ m−
2
3
=±
2
13
∴ m=
2
3
+
2
13
or m=
2
3
−
2
13
m=
2
3+
13
,
2
3−
13
are the roots of the given quadratic equation.