Answer:
Since both lines are parallel, they must have the same slope, which in this case is -5.
3. On a flash drive, 800 megabytes out of 1000 megabytes are used. Write the
amount occupied as a percent.
Answer:
80%
Step-by-step explanation:
you're occupying 800 out of 1000
the way to write this mathematically is to write: 800/1000,
which equals 0.8
then to make this a percentage you x100
and your answer is 80%
a soda company had sales of $35,109 million in 2010 and $45,984 million in 2014. use the midpoint formula to estimate the sales in 2012. assume that the sales followed a linear pattern.
The sales in 2012 is estimated to be $40546.5 million if we use the midpoint formula assuming that the sales followed a linear pattern.
Midpoint is a term used in geometry and can be described as the center or middle point of a line segment. It enables you to take two endpoints, and then by using these endpoints you can find the point that is midway between them in the line segment.
Considering,
[tex]P_{1} = (x_{1},y_{1})[/tex]
[tex]P_{2} = (x_{2},y_{2})[/tex]
Here;
[tex]x_{1}[/tex] = 2010
[tex]x_{2}[/tex] = 2014
[tex]y_{1}[/tex] = $35,109 million
[tex]y_{2}[/tex] = $45,984 million
The formula for the midpoint is given as;
[tex]P_{m}[/tex] = {( [tex]x_{1} + x_{2}/2[/tex] ), ( [tex]y_{1} + y_{2} / 2[/tex] )}
[tex]P_{m}[/tex] = {(2010 + 2014 / 2), (35109 million + 45984 million / 2)}
[tex]P_{m}[/tex] = {(4024 / 2), (81,093 million / 2)}
[tex]P_{m}[/tex] = {2012 , 40546.5 million}
Therefore, the sales in 2012 are calculated to be $40546.5 million by using the midpoint formula.
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Jasmine drives every morning to her office that is 12 miles from her home.
Suppose Jasmine drives from home to the office in 20 minutes. Use this information and part (b) to write an equation
Evaluate the expression
x-y
if
x = -2
y = −3
z=5
Show your work.
Given: x = -2; y = -3; z = 5
It is clear that a numerical term can only be evaluated from an expression filled with numbers (no variables). In the expression provided, we have two variables, where y is being subtracted from x.
The expression can't be simplified because there is no like terms in the expression. However, since there are specific numerical values for each variable, we can substitute the numerical values for the variables in the expression and simplify the expression.
Step-2: SolvingAs planned, let's substitute the variables into the expression
⇒ x - yHere, we know that x = -2 and y = -3.
⇒ -2 - (-3)If -2 is being subtracted by a negative integer, the negative integer will become positive, and the "minus sign" will be converted to a "plus sign".
⇒ -2 + 3 = 1Step-3: ConcludeWe can conclude that 1 is the solution to the expression.
I will Mark Brainlist Please Help!!! its a algebra 2 Question image is attached below thanks so much !!
Using the law of indices, [tex]1024^{\frac{2}{5} } = 16[/tex]
How to solve exponent using law of indices?The expression can be solved using the law of indices as follows:
[tex]1024^{\frac{2}{5} }[/tex]
using law of indices, involving bracket.
Brackets with indices are where we have a term inside a bracket with an index (or power) outside of the bracket.
To do this we can raise everything inside the bracket to the power.
[tex](a^{b} )^{x} = a^{bx}[/tex]
Therefore,
1024 = 2¹⁰
Hence,
[tex]2^{\frac{2}{5} (10)} = 2^{\frac{20}{5} } = 2^{4} = 16[/tex]
Therefore,
[tex]1024^{\frac{2}{5} } = 16[/tex]
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Theo is going on holiday across Europe and needs to change pounds into other currencies.
Ai) 5575 Swedish kronor 500*11.15
Aii) 312.50 swiss frans 250*1.25
B) £345 407.10/1.18
Hope this helps, have a great day!!
Do the values in this table represent a proportional relationship?
X
y
2
O I don't know.
1
O Yes, and the constant of proportionality is 1/2.
O Yes, and the constant of proportionality is 2.
O No.
4
Creative Section - B
7. a) The average of daily income of a plumber from Sunday to Friday is Rs 1,300
in the last week. If he earned Rs 2,000 on Saturday, find
income of the week.
Joshua is driving to the store
the population of a village increased from 234 to 275 during one year.Find the percentage increase
Answer:
275-234 = 41
41/275 times 100
4100/275
=14.90909
=15%
Step-by-step explanation:
Laura Russo lost her earnings statement from Siler's Lawn
and Garden. She recalls paying $43.00 in federal income taxes and
knows she deposited $306.36 in her checking account. Each week she
had deductions for Social Security and Medicare taxes; $22.35 for
medical insurance; 1.5% state tax; 1.5% local tax; and $25.00 for the
credit union. What is her gross weekly pay?
Employee's gross pay is their salary before any payroll deductions such as taxes, benefits, and other expenses are made.
Her goss weekly pay is $409.13.
How to find her gross weekly pay?
Before taxes, benefits, and other payroll deductions are deducted, an employee's gross pay is what they are paid.
Net pay, often known as take-home pay, is the sum that is left over after all deductions have been taken into consideration.
Federal income tax:
306.36+ 43 = 349.36
Medical insurance:
349.36 + 22.35 = 371.71
Credit union:
371.71 + 25 = 396.71
State tax:
396.71 increased by 1.5% is 396.71 * (1.015) = 402.66
Local tax:
402.66 increased by 1.5% is 402.66 * (1.015)= 409.13
Her goss weekly pay is $409.13.
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what is the answer for 8x - 4
Answer:
Step-by-step explanation:
4. Find the value of x.
6x + 14
8x + 12
The answer is x = 1, assuming that the space is meant to be an equal sign.
Evaluate this expression:
| b + 1 | + 8
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:\pm b + 9 [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
The given expression is :
[tex]\qquad \tt \rightarrow \: |b + 1| + 8[/tex]
[tex]\qquad \tt \rightarrow \: |b| + 1 + 8[/tex]
[ as 1 is a positive number, it can come out of modulus function as it is ]
[tex]\qquad \tt \rightarrow \: |b| + 9[/tex]
Now, there are two cases possible.
Case 1 :
[tex]\qquad \tt \rightarrow \: b + 9[/tex]
[ if b is a positive number, it will come out of modulus as it is ]
Case 2 :
[tex]\qquad \tt \rightarrow \: - b + 9[/tex]
[ if b is a negative number, it will come out of modulus with a negative sign, to make the overall term out of modulus positive ]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Find the values of x,y, and z.
guys please help me. I missed a class and can't find the video to help me solve this
Answer:
x = 7.2 , y = 57 , z = 10.8
Step-by-step explanation:
the sum of the 3 angles in the outer triangle = 180° , that is
y + 88 + 35 = 180
y + 123 = 180 ( subtract 123 from both sides )
y = 57
------------
the outer and inner triangles are similar ( AA postulate ) then the ratios of corresponding sides are in proportion, that is
[tex]\frac{x}{12}[/tex] = [tex]\frac{9}{9+6}[/tex] = [tex]\frac{9}{15}[/tex] ( cross- multiply )
15x = 108 ( divide both sides by 15 )
x = 7.2
and
[tex]\frac{z}{18}[/tex] = [tex]\frac{9}{15}[/tex] ( cross- multiply )
15z = 162 ( divide both sides by 15 )
z = 10.8
14. Matthew bought 2 movie tickets for $11, and Rosa
bought 7 movie tickets for $38.50. What is the
constant of proportionality?
When two amounts are proportionate, they fluctuate at the same rate, maintaining the constancy of their relationship.
Here x be the proportionality constant its value 5.5.
What is meant by proportionality constant ?The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality.When two amounts are proportionate, they fluctuate at the same rate, maintaining the constancy of their relationship.In mathematics, we use the constant of proportionality to compute the rate of change and identify whether we are working with direct variation or inverse variation.Matthew bought 2 movie tickets for $11,
Rosa bought 7 movie tickets for $38.50.
let the value of per ticket is x
2x = 11 and 7x = 38.5
7x- 2x = 38.5 -11
x = 5.5
here x be the proportionality constant its value 5.5.
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Multiply (3-i) (7+2i)
Answer:
23-i
Step-by-step explanation:
Multiply using the FOIL method and after that combine the real and imaginary parts of the expression.
I need help please on this it is very hard for me
Answer:
Below in bold.
Step-by-step explanation:
3/20
We divide 3 by 20:-
3 / 20 = 0 so we divide 30 by 20 and proceed as below:
20)3.00 ( 0.15
20
100
100
......
The answer is 0.15 which is terminating.
5/11
If we divide as above we get 0.45454545....
The 45 keeps repeating
2/15
Dividing gives 0.133.........
Repeating
7/8 = 0.875
terminating.
9/16
= 0.5625
terminating.
Answer:
3/20 = 0.15 (Terminating)
5/11 = 0.45454 (Repeating)
2/15 = 0.13333 (Repeating)
7/8 = 0.875 (Terminating)
9/16 = 0.5625 (Terminating)
Explanation:
The definition of Terminate means to bring to an end. This would also apply to the decimals. To find whether a fraction is terminating or not, is to simply divide and you will get a decimal, unless it is mixed fraction. Terminating will bring an end, Ex: 1/2 ( 1 ÷ 2 ) which would equal = 0.5 This is an example of a terminating decimal. A repeating decimal is a decimal that never ends of its repetition, Ex: 0.13333333 (Continuous).
I hope this helps my grammar might bit a bad sorry.
Hope you get an A ^^
Have a great day
An arcade in Boulder, Colorado uses 3 different colored tokens for their game machines. For $20 you can purchase any of the following mixtures of tokens: 14 gold, 20 silver, and 24 bronze; OR, 20 gold, 15 silver, and 19 bronze; OR, 30 gold, 5 silver, and 13 bronze. What is the monetary value of each token?
The monetary value of gold, silver and bronze is $0.5, $0.35 and $0.25 respectively.
What is defined as the elimination method?The elimination method involves removing a single variables by combining the two equations. This method eliminates one variable, enabling you to solve for the other. Since there are two variables in a two-equation system, eliminating one simplifies the purpose is to solve for the other.The given conditions in the question are-
Let the monetary value of gold be 'a'.
Let the monetary value of silver be 'b'.
Let the monetary value of bronze be 'c'.
The total monetary value is $20.
The equation will be;
14 gold, 20 silver, and 24 bronze
14a + 20b + 24c = 20 .......eq1
20 gold, 15 silver, and 19 bronze
20a + 15b + 19c = 20 .......eq 2
30 gold, 5 silver, and 13 bronze.
30a + 5b + 13c = 20 .....eq 3.
Solving equation 1,2 and 3 by elimination method.
a = 1/2
b = 7/20 and
c = 1/4
Thus, the monetary value of gold, silver and bronze is $0.5, $0.35 and $0.25 respectively.
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A rock climber throws a first aid kit to another climber who is higher up the mountain. The initial velocity of the kit is 12 m/s at an angle of 71 above the horizontal. At the instant when the kit is caught, it is traveling horizontally, so its vertical speed is zero. How far apart are the two climbers (horizontally)?
A rock climber throws a first aid kit to the another climber who is higher up the mountain, the initial velocity of the kit is 12 m/s at an angle of 71 above the horizontal, at the instant when the kit is caught, it is traveling horizontally, so its vertical speed is zero, height difference between climbers is 0.85 m.
What is velocity?Velocity is the direction at which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by specific unit of time (for example, 60 km/h northbound). In kinematics, area of classical mechanics that deals with the motion of bodies, velocity is a fundamental idea.
Vertical motion of the first aid kit:
The Initial vertical velocity, u = 5.70 sin 45.7 = 4.08 m/s
Acceleration, g = -9.81 m/s²
When climber who is higher up the mountain catches the kit it's vertical speed is zero.
Final vertical velocity, v = 0 m/s
We have the equation of motion, v² = u² + 2as
Substituting
0² = 4.08² + 2 x -9.81 x s
s = 0.85 m
So kit travels 0.85 m vertically.
Height difference between the climbers = 0.85 m.
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Starting from scratch, Tori finished 1/6 of a reading assignment Monday afternoon and another 1/3 of it on Tuesday afternoon. What fraction of the reading assignment was done by Tuesday night?
Write your answer as a fraction or as a whole or mixed number.
The fraction of the reading assignment done by Tuesday night is 1/2.
What are fractions?Fractions are the numbers that make up a portion of the whole. An object or a collection of objects can be a whole. If a quantity or item is divided into equal pieces, each piece will represent a portion of the entire.A fraction is represented by the ratio a/b, where a represents the numerator and b is the denominator.Given:
Let the total reading assignment be x.
Fraction of the reading assignment finished by Tori on Monday afternoon = (1/6)x
Fraction of the reading assignment finished by Tori on Tuesday afternoon = (1/3)x
The fraction of the reading assignment done by Tuesday night is,
Total - Fraction of the reading assignment completed by Tori
= [tex]x -(\frac{x}{6} + \frac{x}{3} )[/tex]
= [tex]x -(\frac{x+ 2x}{6} )[/tex]
= [tex]x - \frac{3x}{6}[/tex]
= [tex]x -\frac{x}{2}[/tex]
= [tex]\frac{2x-x}{2}[/tex]
= [tex]\frac{x}{2}[/tex]
So, 1/2 of the reading assignment(x) was done by Tuesday night.
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Two angles form a linear pair. One angle is 5
more than four times the size of the other angle.
Find the measure of the largest angle.
Answer:
The measure of the largest angle is 145°
Step-by-step explanation:
Since the angles form a linear pair taking two angles that add to 180 and solving for x will give you the answer. the sentence "One angle is 5 more than four times the size of the other angle." your equation should look like this:
5 + 4x. the other angle uses the variable x. So the equation 5 + 4x + x = 180 should result in x = 35. That saying, the smaller angle is 35 and to find the larger angle either plug in x or subtract 180-35. both shoukd result in 145° which is the larger angle.
Which expression has a value of 74?
Responses
(75−5)×(1+4)
open parenthesis 75 minus 5 close parenthesis times open parenthesis 1 plus 4 close parenthesis
75−5×(1+4)
75 minus 5 times open parenthesis 1 plus 4 close parenthesis
(75−5)×1+4
open parenthesis 75 minus 5 close parenthesis times 1 plus 4
75−(5×1+4)
The expression that will give a value of 74 is C. (75 - 5) × 1 + 4.
What is an expression?It should be noted that an expression is used to how the relationship between the variables that are expressed in the data or information given.
In this case, we want to find the expression that will give a value of 74. This will be :
= (75 - 5) × 1 + 4
= 70 × 1 + 4
= 70 + 4
= 74
The correct option is C.
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Answer: yes then no
Step-by-step explanation:
Kaj is 1.55 meters tall at 11 am she measures the length of a trees shadow to be 26.15 meters and she stands 22 meters away from the tree so the tip of her shadow meets the tip of the trees shadow find the hight of the tree round to the nearest hundredth
Answer: 9.77 m
Step-by-step explanation:
xyz
I need help and I appreciate anyone who helps
Find the difference and quotient of 8 and 4
FINDING THE DIFFERENCE WE SUBRACT
[tex]8 - 4 \\ = 4[/tex]
FINDING THE QUOTIENT WE DIVIDE
[tex]8 \div 4 \\ = 2[/tex]
HOPE THIS HELPS
Please answer the question in the photo for a Brainliest
[tex]2(40 - 5y)=10y+5(1 - y)[/tex]
Answer:
y = 5
Step-by-step explanation:
2(40 - 5y) : 80 - 10y
10y + 5(1 + y) : 5y + 5
80 - 10y = 5y +5
-10y = 5y -75
-10y - 5y = 5y - 75 - 5y
-15y/-15 = -75/-15
-15y/-15 : y
-75/-15 : 5
Hence, The answer should be 5
find x : 5( x + 4 ) - 3^2 = 2^4
Answer:x=1
Step-by-step explanation:
you would have to distribute the 5 into the (x+4)
then it would be
5x+20-3^2=2^4
then do the exponents
5x+20-9+16
then add 9 by both sides
5x+20=25
then subtract 20 on both sides
5x=5
then divide 5 on both sides
x=1
then check your work by putting 1 for x and you get 2^4=16
Answer:
x = 1Step-by-step explanation:
find x :
5( x + 4 ) - 3^2 = 2^4
5x + 20 - 9 = 16
5x = 16 - 20 + 9
5x = 5
x = 5 : 5
x = 1
----------------
check
5(1 + 4) - 3^2 = 2 ^4
25 - 9 = 16
16 = 16
the answer is good
12x=12x+3 solve for x step by step!!
answer:
I hope the solution is helpful.
Use the point-slope form of the straight line to find the equation of the straight line which passes through the point (2, 1) and is parallel to the line 5x + y = 1.
Answer:
y=-5x+6
Step-by-step explanation:
the two lines are parallel so they have the same slope and if you put the like in y=mx+b it would be y=-5x+1 so the slope is -5
Then you need to put it into point slope for to figure it out y-y1=m(x-x1)
y-1=-5(x-1) (simplify)
y-1=-5x+5 (add 1 to both sides)
y=-5x+6