Answer:
141
Step-by-step explanation:
3. Simplify the following
a)[(116)3 x 114]x 1212
Answer:
48082464 is the answer
Step-by-step explanation:
=[(116)3×114] × 1212
=[348×114] × 1212
=39672 × 1212
=48082464 is the answer
hope it will help :)
Hey There!!
All you really need To do is: Divide [(116)] 3 x 114] x 1212) ( 20 + 51 + 43) ÷ 7
Hope It Helped!~ ♡
ItsNobody~ ☆
Sal paid (x + 2y) cents for a quart of milk and (2x + y) cents each for three cartons of orange juice. Write and simplify an expression for the total cost of Sal's purchases.
The expression for the total cost of Sal's purchases is 7x + 5y cents.
We know that Sal paid (x + 2y) cents for a quart of milk and (2x + y) cents each for three cartons of orange juice.To find the total cost of Sal's purchases we need to add the cost of the milk and the cost of the three cartons of orange juice and simplify the expression.The cost of the milk is given as (x + 2y) cents. The cost of three cartons of orange juice is (2x + y) cents each.
Therefore, the cost of three cartons of orange juice is (3 × (2x + y)) cents. To find the total cost of Sal's purchases, we add the cost of the milk and the cost of the three cartons of orange juice.(x + 2y) + (3 × (2x + y)) cents = x + 2y + 6x + 3y cents= 7x + 5y cents.
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Ramon earns $1,690 each month and pays $53.60 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Answer:
3.1%
Step-by-step explanation:
divide his electricty payment by his monthly pay
The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
Order from least to greatest. 5/12, 2/3, 1/2, 5/6, 3/4A) 3/4, 5/6, 2/3,1/2, 5/12B) 5/12, 1/2, 2/3, 3/4, 5/6C) 1/2, 2/3, 3/4, 5/6, 5/12D) 1/2, 2/3, 5/6, 3/4, 5/12
Answer:
B) 5/12, 1/2, 2/3, 3/4, 5/6
Step-by-step explanation:
You want to get all the fractions to the common denominator, which in this case is 12. once you do this you can easily order them from least to greatest. Here are the fractions with the common denominator.
2/3 = 8/12
1/2 = 6/12
5/6 = 10/12
3/4 = 9/12
Once you have all these with the same denominator, you order them from least to greatest, which gets you the answer (B.)
Regina has three number cubes. The faces of each number cube are numbered from 1 to 6. Regina will roll each number cube one time.
What is the probability that all three number cubes will land on an odd number?
The probability that all three number cubes will land on an odd number is 1/8
How to determine the probability?From the question, we have the following parameters that can be used in our computation:
Number of cubes = 3
Sections on each cube = 6
Odd sections on each cube = 3
This means that
P(Odd) = Odd sections/Total sections
So, we have the following representation
P(Odd) = 3/6
Simplify
P(Odd) = 1/2
For the three cubes, we have
P(All odd) = P(Odd)^Number of cubes
Substitute the known values in the above equation, so, we have the following representation
P(All odd) = (1/2)³
Evaluate
P(All odd) = 1/8
Hence, the probability is 1/8
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Answer: 1/8
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Use the image to determine the direction and angle of rotation.
graph of triangle ABC in quadrant 4 and a second polygon A prime B prime C prime in quadrant 2
90° clockwise rotation
90° counterclockwise rotation
180° clockwise rotation
270° counterclockwise rotation
The angle of rotation for the described transformation is
180° clockwise rotationHow to know the angle of rotationThe movement or transformation described is form quadrant 4 to quadrant 2.
The transformation will require 180 degrees transformation.
In this type of transformation, both clockwise and the counter clockwise have similar effects
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PLZ HELP ME RIGHT NOW
Answer:
I don't know what the first one is but the answer to the second one is 4.
Step-by-step explanation:
Answer:
P= a+b+c
4 cm
Step-by-step explanation:
add all the sides
5+3=8
12-8=4
4= missing side
Using the quadratic formula, solve 0 = 2x² - 10x + 7
Give each of your answers to 2 d.p.
Answer:
\( \sf \: x = \frac{5}{2} + \frac{ ± 1}{2} \sqrt{11} \)
Step-by-step explanation:
Let's solve your equation step-by-step.
0=2x²−10x+7
Step 1: Subtract 2x^2-10x+7 from both sides.
0−(2x²−10x+7)=2x²−10x+7−(2x²−10x+7)
−2x²+10x−7=0
For this equation: a=-2, b=10, c=-7
−2x²+10x+−7=0
Step 2: Use quadratic formula with a=-2, b=10, c=-7.
\( \sf \: x = \frac{ - b ± \sqrt{ {b}^{2} - 4ac } }{2a} \)
\( \sf \: x = \frac{ - (10)± \sqrt{ {10}^{2} - 4( - 2)( - 7) } }{2( - 2)} \)
\( \sf \: x = \frac{ - 10 ± \sqrt{44} }{ - 4} \)
\( \sf \: x = \frac{5}{2} + \frac{ ± 1}{2} \sqrt{11} \)
(2x-5y=4
4x=8+10y
Solve for X and Y
Answer:
Step-by-step explanation:
To solve this system of two equations with two variables (x and y), we'll use the substitution method. Here's how:
Solve one of the equations for either x or y, in terms of the other variable. Let's solve the first equation, 2x - 5y = 4, for x:
x = (4 + 5y)/2
Substitute the expression for x from step 1 into the second equation, 4x = 8 + 10y:
4(4 + 5y)/2 = 8 + 10y
Simplify the equation from step 2:
8 + 10y = 8 + 10y
Solve for y by subtracting 8 from both sides:
10y = 10y
Divide both sides by 10 to find the value of y:
y = y
Now that we have the value of y, we can substitute it back into the expression for x from step 1:
x = (4 + 5 *y)/2
So the solution to the system of equations is (x, y) = ((4 + 5 *y)/2, y=y).
solve for x and y triangle
Answer:
y=7, x=5
Step-by-step explanation: hope this helps
One year Ron had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched)
of any male pitcher at his school, with an ERA of 3.06. Also, Karla had the lowest ERA of any female pitcher at the
school with an ERA of 3.28. For the males, the mean ERA was 5.086 and the standard deviation was 0.998. For
the females, the mean ERA was 4.316 and the standard deviation was 0.558. Find their respective Z-scores.
Which player had the better year relative to their peers, Ron or Karla? (Note: In general, the lower the ERA, the
better the pitcher.)
Answer:
Ron's ERA has a z-score of -2.03.
Karla's ERA has a z-score of -1.86.
Due to the lower z-score, Ron had a better yean than Karla relative to their peers.
Step-by-step explanation:
Z-score:
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
Since the lower the ERA, the better the pitcher, whoever's ERA has the lower z-score had the better year relative to their peers.
Ron
ERA of 3.06, so \(X = 3.06\)
For the males, the mean ERA was 5.086 and the standard deviation was 0.998. This means that \(\mu = 5.086, \sigma = 0.998\)
So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{3.06 - 5.086}{0.998}\)
\(Z = -2.03\)
Ron's ERA has a z-score of -2.03.
Karla
ERA of 3.28, so \(X = 3.28\)
For the females, the mean ERA was 4.316 and the standard deviation was 0.558. This means that \(\mu = 4.316, \sigma = 0.558\)
So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{3.28 - 4.316}{0.558}\)
\(Z = -1.86\)
Karla's ERA has a z-score of -1.86.
Which player had the better year relative to their peers, Ron or Karla?
Due to the lower z-score, Ron had a better yean than Karla relative to their peers.
you love to play pool at the local hall if it costs $10 just to play plus $2.30 per game played what is the most number of games that you can play in one night on $50
Answer:
4
Step-by-step explanation:
or 17
10 to enter i assume and then 2.30 per game
12.3 everytime u play
50/12=4
additive inverse
multiplicative inverse
0.8
Do you mean 0.8 = 8/10 = 80%? Ohhh... then it's 1.25!
Hope this helps!
Answer:
1.25
Step-by-step explanation:
1/0.8 = 1.25
If its not right im sorryyy
Answer this with explanation please
The measure of angle MTU m∠MTU is 114 degree.
What is the measure of angle MTU?From the figure in the diagram:
Measure of angle STU is 145 degrees and measure of angle STM is 31 degree.
m∠STU = 145°m∠STM = 31°m∠MTU = ?Since, angle STU composes or is the sum of angle STM and angle MTU.
To find angle MTU, simply subract angle STM from angle STU.
m∠STU = m∠STM + m∠MTU
Hence:
m∠MTU = m∠STU - m∠STM
Plug in the given values and simplify
m∠MTU = 145° - 31°
Subtract 31 from 145
m∠MTU = 114°
Therefore, angle MTU measure 114°.
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Consider the function represented by the table.
For which x is f(x)?=-3
х
-7
-7
-4
-3
2
4
f(x)
-3
5
-4
-8
4
5
Answer:
x= -7
Step-by-step explanation:
from the table, the pair of x= -7 is f(x)= -3
based on the table on the left f(-7)= -3
Answer:
A -7
Step by step explanation: I took the test
Find x plss:))))))))
Answer:
180 - 90 = 90
half of 90 = 45
40 and 50??
Step-by-step explanation:
Virginia ha hecho jugo de naranja ha llenado 3 envases de 250 ml y otro
más de 50 ml. Después los sirve en vasos de 20 cl. ¿ Cuántos vasos
llena de jugo?
Virginia puede llenar 4 vasos de jugo.
En total, Virginia ha llenado 3 envases de 250 ml, lo que equivale a 3 x 250 = 750 ml de jugo.
Además, ha llenado otro envase de 50 ml, por lo que en total ha hecho 750 + 50 = 800 ml de jugo.
Para saber cuántos vasos de 20 cl se pueden llenar con 800 ml de jugo, primero es necesario convertir 20 cl a ml. Como 1 cl equivale a 10 ml, entonces 20 cl equivalen a 20 x 10 = 200 ml.
Entonces, la cantidad de vasos que se pueden llenar con 800 ml de jugo es:
800 ml / 200 ml por vaso = 4 vasos
Por lo tanto, Virginia puede llenar 4 vasos de jugo.
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Laura earned $24,850 and paid a FICA tax of 7.65%. How much FICA taxdid she pay?a. $3,802.06b. $1,901.03c. $2,281.23d. $190.10
Her earning = $24,850
FICA tax percentage = 7.65%
The amount of FICA tax she paid can be computed below
\(\frac{7.65}{100}\times24850=\frac{190102.5}{100}=\text{ \$}1901.025\approx\text{ \$}1901.03\)FICA tax paid = $1901.03
Which of the following is a rational number? EXPLAIN WHY FOR BRAINLIEST
A. √2.5
B. -√64
C. 4√5
D. √14.4
100 Points! Geometry question. Photo attached. Only looking for an answer to B. Please show as much work as possible. Thank you!
Answer: Read the solution
Step-by-step explanation:
A. For diagram A, triangles ANC and BDE are similar. Thus, we can use similarity ratios to find the length of AC. (x+1)/12 = (x+5)/15. 15x+15=12x+60. Thus 3x=45, and x=15. Since we need to find AC, AC = 15+1 = 16.
B. For diagram B, triangles SRT and VUT are similar. Again, using similarity ratios, (4x-1)/14=(x+2)/6 or 14x+28=24x-6. 10x=34, x=3.4.
Peter, Gordon and Gavin share £36 in a ratio 2:1:1. How much money does each person get?
Answer:
Peter gets 18£
Gordon and Gavin each get 9£
Answer:
peter = 18 Gordon = 9 Gavin = 9
Step-by-step explanation:
2+1+1 = 4
36 div 4 = 9
2 times 9 = 18
1 times 9 = 9
At a family reunion, each of Shamar's aunts and uncles is getting photographed once. The aunts are taking
pictures in groups of 5 and the uncles are taking pictures in groups of 10. If Shamar has the same total number
of aunts and uncles, what is the minimum number of aunts that Shamar must have?
The minimum number of aunts that Shamar must have based on the information provided is 10.
What are the possible number of uncles and aunts?It is known that uncles will take a photograph in groups of 10, while aunts will take a photograph in groups of 5. Based on this, the possible number for each are:
Uncles: 10, 20, 30, 40, 50
Aunts: 5, 10, 15, 20, 25
How to find the minimum number of relatives?In this case, the minimum number is the LCM or Least Common Multiple and based on the previous list, this number is 10.
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Question 4
Which term in the sequence given by n th term formula 7n - 50 has a value of 41?
th term
Answer:
13th term
Step-by-step explanation:
41 = 7n - 50
41 + 50 = 7n
91 = 7n
7n = 91
n = 91/7
n = 13
13th term has value 41
help asap brainiest to whoever right
Answer:
8.6
Step-by-step explanation:
omni cal.cu.lator
branliest PLEASE
The triangle above has the following measures.
s = 29 m
r= 63 m
Find the m/Q.
Round to the nearest tenth and include correct units.
Show all your work.
The value of m∠Q as shown in the right-angled triangle below is 62.59°.
The Formula used is:
m∠Q = cos⁻¹(s/r)........................ (1)
Where:
s = 29 m
r = 63 m
Now, Substitute these values into equation 1
m∠Q = cos⁻¹(29/63)
m∠Q = cos⁻¹(0.46)
m∠Q = 62.59°
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the question is in the picture
Answer:
the answer is b
step-by-step explanation:
bills normal temperature is 98.6 today ballistic and has a temperature of 104.3 how many degrees above his normal temperature is this
Answer:
Today's temperature is 5.7 degrees above Bill's normal temperature.
Step-by-step explanation:
Given
Represent the normal temperature with N and today's temperature with T.
Such that:
\(N = 98.6\)
\(T = 104.3\)
Required
Determine the temperature above the normal temperature
The interpretation of this is to calculate the difference between Bill's normal temperature and Bill's today temperature.
Represent the difference with D
D is calculated as follows:
\(D = T - N\)
Substitute values for T and N
\(D = 104.3 - 98.6\)
\(D = 5.7\)
Hence, today's temperature is 5.7 degrees above Bill's normal temperature.
What is the total square inches
Square Area = side x side = 3x3 = 9
Rectangle Area = side x side= 7x3= 21
9 + 21 = 30 square inches
Answer:
30 square inches
Step-by-step explanation:
\(\boxed{\text{\bf Area of rectangle = length *width}}\)
Rectangle1:
Area = 6 * 3
= 18 square inches
Rectangle2:
Area = 4 * 3
= 12 square inches
Area of the figure = area of rectangle1 + area of rectangle2
= 18 + 12
= 30 square inches
△ABC has vertices A(-2, 0), B(0,8), and C(4,2) Find the equations of the three altitudes of △ABC
The equations of the three altitudes of triangle ABC include the following:
3y - 2y - 4 = 0.y + 3x - 8 = 0.4y + x - 6 = 0.What is a triangle?A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.
What is a slope?A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.
How to determine a slope?Mathematically, the slope of a straight line can be calculated by using this formula;
\(Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)
Also, the point-slope form of a straight line is given by this equation:
y - y₁ = m(x - x₁)
Assuming the following parameters for triangle ABC:
Let AM be the altitudes on BC.Let BN be the altitudes on CA.Let CL be the altitudes on AB.For the equation of altitude AM, we have:
Slope of BC = (2 - 8)/(4 - 0)
Slope of BC = -6/4
Slope of BC = -3/2
Slope of AM = -1/slope of BC
Slope of AM = -1/(-3/2)
Slope of AM = 2/3.
The equation of altitude AM is given by:
y - y₁ = m(x - x₁)
y - 0 = 2/3(x - (-2))
3y = 2(x + 2)
3y = 2x + 4
3y - 2y - 4 = 0.
For the equation of altitude BN, we have:
Slope of CA = (2 - 0)/(4 - (-2))
Slope of CA = 2/6
Slope of CA = 1/3
Slope of BN = -1/slope of CA
Slope of BN = -1/(1/3)
Slope of BN = -3.
The equation of altitude BN is given by:
y - y₁ = m(x - x₁)
y - 8 = -3(x - 0)
y - 8 = -3x
y + 3x - 8 = 0.
For the equation of altitude CL, we have:
Slope of AB = (8 - 0)/(0 - (-2))
Slope of AB = 8/2
Slope of AB = 4
Slope of CL = -1/slope of AB
Slope of CL = -1/4
The equation of altitude CL is given by:
y - y₁ = m(x - x₁)
y - 2 = -1/4(x - 4)
4y - 2= -(x - 4)
4y - 2= -x + 4
4y + x - 2 - 4 = 0.
4y + x - 6 = 0.
In conclusion, we can infer and logically deduce that the equations of the three altitudes of triangle ABC include the following:
3y - 2y - 4 = 0.y + 3x - 8 = 0.4y + x - 6 = 0.Read more on point-slope form here: brainly.com/question/24907633
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