Answer: Yes, the point (-4, -81) does satisfy the equation.
Step-by-step explanation:
1) Plug in x and y values: -81 = 19(-4) + (-5)
2) Solve above equation: -81 = -76 - 5
-81 = - 81
The equality is true because both sides are identical.
A rectangular lawn is 20 yards by 28 yards. It would cost $4.80 per yard to install a fence around the lawn. How much would it cost to put a fence around the lawn?
write equations for the following statements
1)Three fourth of t is 15
2)If you add 3 to one third of 2,you get 30
3)One fourth of a number x minus 4 gives 4
Answer:
i'm not sure the second is right
How do you verbally say:
m AB but the AB has a line over it?
Answer:
measure of line segment AB
4. Jay measured the exterior angles in
this polygon. Explain how you know
his measurements are wrong.
80
80
60
75
70
Answer:
535 is not equal to 360
Step-by-step explanation:
the total interior angle = 360 degree
180-80=100
180-80=100
180-75=105
180-70=110
180-60=120
100+100+105+110+120= 535 which is not equal to 360. Since the total interior angle is not 360, Jay's measurements are wrong .
Difference between a Keynesian economists and classical economists and their views on how they would respond to an economy falling into a recession
Classical economics emphasizes that unfastened markets provide efficient results and are self-regulating.
Classical economics means that the long time mixture deliver curve is inelastic, therefore any divergence from complete employment is most effective transitory. The Classical version emphasizes the want of minimizing authorities interference and operating to preserve markets freed from any impediments to effective functioning.
Keynesians declare that because of imperfect markets, the economic system can function at less than full potential for an extended period of time.
Keynesians consider that expansionary economic policy (authorities intervention) has a larger role in overcoming recession.
The Keynesian angle on lengthy-run mixture deliver differs.
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Evaluate -4a² + 2a - 1 when a = - 3.
Answer:
-43
Step-by-step explanation:
-4(-3)² + 2(-3) - 1
=-4×9+2(-3)-1
=-36+2(-3)-1
=-36-6-1
=-43
Simplify the given algebraic expression.
9{9b-[2-3(9b-5)]}
Please I need an answer for this
Thanks!!!
After simplifying the algebraic expression 9 { 9 b - [ 2 - 3 ( 9 b - 5 ) ] }, we get the result as 324 b - 153.
We are given the algebraic expression:
9 { 9 b - [ 2 - 3 ( 9 b - 5 ) ] }
We need to simplify the expression.
For this, we will use the BODMAS rule.
B - Brackets
O - Of
D - Division
M - Multiplication
A - Addition
S - Subtraction
So, simplifying the expression, we get that:
9 { 9 b - [ 2 - 3 ( 9 b - 5 ) ] }
= 9 { 9 b - [ 2 - 27 b + 15 ] }
= 9 { 9 b - 2 + 27 b - 15 }
= 9 { 9 b - 2 + 27 b - 15 }
= 81 b - 18 + 243 b - 135
= 324 b - 153
Therefore, after simplifying the algebraic expression 9 { 9 b - [ 2 - 3 ( 9 b - 5 ) ] }, we get the result as 324 b - 153.
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Which of the following could be a real-world description of the quantity two times x end quantity divided by 2x/10?
The real-world description of the expression could be: John's age is one-fifth of his sister's age
How to determine the real-world description of the expression?The expression is given as:
2x/10
To determine the real-world description of the expression, we simply represent the variable x with a real-world expression
Take for instance:
x represents the age of a boy
So, the real-world description of the expression could be:
John's age is one-fifth of his sister's age
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Select all sets that √7 belong to.
Onatural numbers
Owhole numbers
O integers
O rational numbers
Oirrational numbers
Oreal numbers
All sets that √7 belong to irrational numbers
The number √7 is a number inside a square root. Also, note that the number 7 is a whole number, but not a perfect square. Therefore, by our rule, we have that √7 belongs to the set of real numbers and to the set of irrational numbers.
In mathematics, the irrational numbers (from in- prefix assimilated to ir- (negative prefix, privative) + rational) are all the important numbers that are not rational numbers.
That is, irrational numbers can't be expressed as the ratio of two integers. When the ratio of lengths of two line segments is a real number, the road segments are also described as being incommensurable, meaning that they share no "measure" in common, that is, there's no length ("the measure"), regardless of how short, that would be used to express the lengths of both of the two given segments as integer multiples of itself.
Among irrational numbers are the ratio π of a circle's circumference to its diameter, Euler's number e, the golden ratio φ, and therefore the square root of two. In fact, all square roots of natural numbers, aside from perfect squares, are irrational.
Like all real numbers, irrational numbers are often expressed in positional notation, notably as decimal numbers. within the case of irrational numbers, the decimal expansion doesn't terminate, nor end with a repeating sequence.
for instance, the decimal representation of π starts with 3.14159, but no finite number of digits can represent π exactly, nor does it repeat.
Conversely, a decimal expansion that terminates or repeats must be a real number. These are provable properties of rational numbers and positional number systems and aren't used as definitions in mathematics.
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please need help on this #3
Answer:
a. 5
b. 10
c. 15
d. 4
e. 6
f. 9
Step-by-step explanation:
It asks for the indicated distance, which would translate as the absolute value of the distance between the two points. Using that, it is simple subtraction to find your answer.
#12) A freight elevator can hold up to 4,500 pounds. How many tons can the freight elevator hold?
Answer:
2.25 tons
Step-by-step explanation:
1 ton = 2000 pounds
1. Han's teacher asked him to draw a polygon similar to polygon A. Here is his work.
Which explanation shows that polygons A and C are similar to each other?
A. Use a protractor to measure all four angles in polygon A and all four angles in
polygon C. Since each angle in polygon A has a matching angle measure in
polygon C, the polygons are similar.
Since each side in polygon C is three times as long as the corresponding side in
polygon A, the figures are similar.
C. Dilate polygon C with center at the upper-left vertex and a scale factor of
Then, translate 7 units to the left. Since polygon C can be taken to polygon A
with a dilation followed by a translation, the figures are similar.
D. Dilate polygon C with center at the upper-right corner and a scale factor of 3.
Since polygon C can be taken to polygon A with a dilation, the polygons are
similar.
Solve using long division (6x^3-8x+5) ÷ (2x-4)
The solution to the long division 6x³ - 8x + 5 divided by (2x-4) is 3x² - 6x + 8 and the remainder is -27
The long divisionWhen 6x³ - 8x + 5 is divided by (2x-4) the answer in this format
q(x) + r(x) / b(x) is express as 3x² - 6x + 8
The long division application is uploaded as a picture below.
The answer should be express in this format:
q(x) + r(x) / b(x)
where,
q(x) = quotientr(x) = remainderb(x) = divisorThe quotient is the result obtained by dividing one value by another. The quotient is 3x² - 6x + 8 .
The remainder is the number left over after performing the division. The remainder is -27
The divisor is the value that divides another completely or with a remainder. The divisor is 2x - 4
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How many baseball cards did he start with?
Answer:
108
Step-by-step explanation:
22+86=108
Answer:
108 baseball cards
Step-by-step explanation:
x = baseball cards he started with
x - 22 = 86
add 22 to both sides
x = 108
108 baseball cards
Which word not be a step in solving 18=2(4+x)
The correct option is B) Collect variables terms on one side because there is one value for the variable.
What is defined as the variables?In the perspective of a math concept or experiment, a variable is a quantity that really can change. A variable is typically represented by a single letter. Variables are commonly represented by the alphabets x, y, and z. We will sometimes select a letter which further tells us of the quantity this represents, including such t for time, v voltage, and any b for bacteria.The given equation in this case is,
18 = 2(4+x)
By using the Distributive property on the right side,
18 = 8 + 2x
After subtracting 8 from both sides ( Isolating variable x )
18 - 8 = 8 + 2x - 8
Compile similar terms,
10 = 2x
By dividing both sides by two ( Isolating variable x )
x = 5
As a result of the preceding explanation, it is completely obvious that we utilized all options but apart from option B.
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The complete question is-
Which would not be a step in solving 18=2(4+x)?
A) Use the distributive property.
B) Collect variables terms on one side.
C) Collect like terms.
D) Isolate the variable.
Tickets of a program at college cost $5 for general admission or $4 with a student ID. If 180 people paid to see a performance and $795 was collected, how many of each type of ticket were sold?
The number of tickets for general admission is 75 and with student id's is 105.
Given that,
Tickets of a program at college cost $5 for general admission or $4 with a student ID.
180 people paid to see a performance and $795 was collected, how many of each type of ticket were sold is to be determined.
Here,
Number of admission with general admission = x
Number of admission with college id = y
According to the given conditions,
x + y = 180
x = 180 - y - - - - - - (1)
5x + 4y = 795 - - - - - (2)
Now put the value of the equation in equation 2
5 (180 - y) + 4y = 795
900 - 5y + 4y = 795
-y = 795 - 900
-y = -105
y = 105
Now put y in equation 1
x = 180 - 105
x = 75
Thus, the number for tickets with general admission is 75 and with student id is 105.
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Find n(A) for the set A
Reason:
Your teacher wants you to find out how many elements are in set A.
Focus on the numerators only.
That sequence is 1,2,3,..., 37,38 which consists of 38 numbers.
If you wanted to focus on the denominators, then we go from 3 to 40 which is a gap of 40-3 = 37, but then add on 1 to account for the first item. So we get to 37+1 = 38.
Marie sells outdoor grills. She knows she earns a 10% commission on the first $10,000 and 12% on the next $15,000. She does not remember the rate on the sales of more than $25,000 but her total sales for the month are $29,665, and her total commission is $4,891. What is her rate of commission for the sales over $25,000?
The commission rate is 44.8%.
What is the commission rate?The first step is to determine the commission on the first $10,000 : 0.1 x 10,000 = 1,000
The second step is to determine the commission on the next $15,000: 0.12 x $15,000 = $1,800
The third step to determine the commission on amounts more than $25,000 : x%(29,665 - 25,000)
x%(4,665)
Total commissions earned on amount more than $25,000 : $4,891 - (1,800 + 1,000) = $2091
Now, determine the commission rate : $2091 / $4,665 = 0.448 = 44.8%
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You invest $15,000 in two funds (stock A and stock B) paying 6.3% and 7.1%
simple interest respectively. The total annual interest is $1050. How much did
you invest in each fund?
a = amount invested at 6.3%
how much is 6.3% of "a"? (6.3/100) * "a", namely 0.063a.
b = amount invested at 7.1%
how much is 7.1% of "b"? (7.1/100) * "b", namely 0.071b.
we know the total amount invested is $15,000, so whatever "a" and "b" might be, we know that a + b = 15000.
we also know that the yielded amount in interest is $1050, so if we simply add their interest, that'd be 0.063a + 0.071b.
[tex]\begin{cases} a + b = 15000\\ b = 15000 - a\\[-0.5em] \hrulefill\\ 0.063a+0.071b=1050 \end{cases} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{0.063a+0.071(\underset{b}{15000-a})=1050}\implies 0.063a+1065-0.071a=1050 \\\\\\ 0.063a-0.071a=-15\implies -0.008a=-15\implies a=\cfrac{-15}{-0.008} \\\\\\ \boxed{a = 1875}\hspace{15em}\boxed{\stackrel{15000~~ - ~~1875}{b = 13125}}[/tex]
Jordan and Ellen recycle cans. Jordan recycles 7 cans for every 12 cans Ellen recycles. Last week, Jordan recycled 42 cans.
What number, c , can be multiplied by 12 to determine the number of cans Ellen recycled last week? How many total cans did Jordan and Ellen recycle last week?
Answer:
c = 6
Total: 114
Step-by-step explanation:
The ratio of the number of cans Jordan recycles to the number Ellen recycles is 7:12.
The ratio of the number of cans Ellen recycles to the number of cans Jordan recycles is 12:7.
Jordan recycled 42 cans.
Ellen recycled 42 × 12/7 = 6 × 12
c × 12 = 6 × 12
c = 6
Total: 42 + 72 = 114
Chris saved x dollars and spent half of his savings buying video games. After earning an additional $20 cutting grass, he had $60. If the equation 1/2bh represents the scenario, how much did he start with in his savings?
Answer:
80
Step-by-step explanation:
Simply reverse the steps.
In the end he has 60, before that he got 20 dollars for cutting grass, so subtract 20.
Now he has 40, which is after he spent half of his money on games, so multiply it by 2.
This is where he started, and he has 80 dollars saved.
if x=-5,0,4,8,13 and y=-7,3,11,19,29 what is the slope of the line
The slope of the line is 1/2.
What is slope?The slope is a measure of the steepness of a line, or a section of a line, connecting two points.
Slope tells you how steep a line is, or how much y increases as x increases. The slope is constant (the same) anywhere on the line.
For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).
Given:
x=-5,0,4,8,13 and y=-7,3,11,19,29
To find the slope
m= (0-(-5))/(3-(-7))
m=0+5/ 3+7
m=5/10
m= 1/2
Hence, the slope is 1/2.
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HELLO CAN SOMEONE PLEASE ANSWER THIS MATH QUESTION ASAP I WILL MARK YOU THE BRAINLIEST
The expression for one fifth the difference of a number and 17 is B. 1/5( n - 17).
How to illustrate the information?It should be noted that an expression is used to show the relationship between the variables.
In this case, the information is to find the expression for one fifth the difference of a number and 17.
Let the number be n. The expression will be:
1/5( n - 17).
In conclusion, the correct option is B.
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K
A certain group of test subjects had pulse rates with a mean of 78.9 beats per minute and a standard deviation of 11.7 beats per minute. Use the range rule of thumb for identifying
significant values to identify the limits separating values that are significantly low or significantly high. Is a pulse rate of 92.3 beats per minute significantly low or significantly high?
Significantly low values are beats per minute or lower
(Type an integer or a decimal.
Do not round)
Significantly high values are
(Type an integer or a decimal. Do not round)
Is a pulse rate of 92.3 beats per minute significantly low or significantly high?
beats per minute or higher.
OA. Significantly low, because it is more than two standard deviations below the mean
OB. Neither, because it is within two standard deviations of the mean
OC. Significantly high, because it is more than two standard deviations above the mean
OD. It is impossible to determine with the information given
B. Neither, because it is within two standard deviations of the mean.
Given; A certain group of test subjects had pulse rates with a mean of 78.9 beats per minutes.
Standard deviation of 11.7 beats per minute.
Range Rule of Thumb:
Standard deviation = Range/4.
Range = 4×SD.
= 4×11.7
= 46.8
The "usual" range for this situation is,
78.9-2(11.7) to 78.9+2(11.7) = 55.5 to 102.3
Significantly low will be less than 55.5
Sig high will be greater than 102.3
Pulse rate - Mean = 92.3 - 78.9 = 13.4
This value below mean
Then check 2×Standard deviation = 2×11.7= 23.4
This value is also below the mean value.
Significantly low values are 55.5 beats per minute or lower.
Significantly high values are 102.3 beats per minute or higher.
Hence it is within two standard deviations of the mean.
Therefore, the answer is B Neither, because it is within two standard deviations of the mean.
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(2-I)(3+5i) multiple
Answer:
ii-7i
Step-by-step explanation:
These can be multiplied in a manner similar to expanding brackets:
(
2
+
i
)
(
3
−
5
i
)
=
6
+
3
i
−
10
i
−
5
i
2
Remember that
i
=
√
−
1
so
i
2
=
−
1
This will in turn allow us to gather the like terms like so:
6
+
5
+
3
i
−
10
i
=
11
−
7
i
Benicio locks his safe by setting
each of the three dials to 8. To unlock the safe, he turns
the left dial 90° counterclockwise, the middle dial
270° clockwise, and the right dial 180° counterclockwise.
Which three numbers, in order, unlock the safe?
The three numbers, in order that will unlock the safe are 2, 2, 4.
We know that there are 8 numbers on each dial. Suppose, The dial is in a shape of a circle. Now, we can divide it into 8 equal pieces with same angles.
For each piece, the angle formed is 360/8 = 45° ( As in a circle, total angle formed without any divisions is 360° )
Now, When we turn the left dial 90° counterclockwise ( anticlockwise)
that is 45° + 45° ( two times 45°). Therefore, the dial moves by two places and we get the first number = 6 ( from 8 to 7 and then from 7 to 6).
Now, We turn the middle dial 270° clockwise. And get 45° + 45° + 45° + 45° + 45° + 45° (six times 45°). Therefore, the dial moves by six places. Hence, we get the second number = 2.
Now, We turn the right dial 180° counterclockwise that is anticlockwise or in backward direction. 180° = 45° + 45° + 45° + 45° ( four times 45°). Therefore, the dial moves by six places and thus we get our third number = 4.
Therefore, The three numbers, in order that will unlock Benicio's safe are 2, 2, 4.
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Question Find the distance between the points A(13, 2) and B(7, 10)?
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{13}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{7}~,~\stackrel{y_2}{10})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{(~~7 - 13~~)^2 + (~~10 - 2~~)^2} \implies AB=\sqrt{( -6 )^2 + ( 8 )^2} \\\\\\ AB=\sqrt{ 36 + 64 } \implies AB=\sqrt{ 100 }\implies AB=10[/tex]
A box has 15 ping pong balls in it, numbered 1 through 15. How many distinct sets of four different numbers can be chosen from the box of ping pong balls if the order in which the numbers are chosen is not important?
Answer:
1365
Step-by-step explanation:
The number of ways in which you can choose r items as a set from n available items is given by n choose k which can be represented as
Here n = 15, r = 4
C(n, r)
C(n,r) = C(15,4)
The formula is
[tex]C(n,r) = \binom{n}{r} = \dfrac{n!}{( r! (n - r)! )}[/tex]
where ! represents factorial of a number
n! = n x (n-1) x (n-2) x.......x 3 x 2 x 1
So
[tex]C(15,4) = = \dfrac{15!}{( 4! (15 - 4)! )}\\\\ = \dfrac{15!}{4! \times 11! }\\\\\\= 1365[/tex]
Answer: 1365 combinations
Step-by-step explanation:
What you're looking for if the order doesn't matter is the number of combinations.
You can use this formula for it:
[tex]\frac{n!}{r!(n-r)!} \\[/tex]
Where n is the number of objects there are and r is the number of objects you take out.
We'll be using the variables:
n = 15
r = 4
Plug them in and solve:
[tex]\\\frac{15!}{4!(15-4)!} \\\\= \frac{15!}{4!* 11!} \\\\= \frac{1307674368000}{24 * 39916800} \\\\= \frac{1307674368000}{958003200} \\= 1365[/tex]
Your friend's averages 56 miles per hour while driving to a college. On the return trip, your friend averages 48 miles per hour due to construction. The total driving time is 6 hours and and 30 minutes. How long does each trip take?
the first trip takes 3 hours
and the second one takes 3 hours and 30 minute
Yumi takes 5/12 hour to complete 50 math problems Eric is able to complete 48 math problems in 2/5 hour which student can complete math problems at a greater rate of problems per hour
If Yumi takes 5/12 hour to complete 50 math problems Eric is able to complete 48 math problems in 2/5 hour the student that can complete math problems at a greater rate of problems per hour is: They solve the same number of problems per hour.
RateCalculation for the rate of Yumi
Yumi=5/12×60
Yumi=25 minutes
Rate=50/25
Rate=2
Calculation for the rate of Eric
Eric=2/5×60
Eric=24 minutes
Rate=48/24
Rate=2
Hence, Both Yumi and Eric has the same rate which is 2.
Therefore If Yumi takes 5/12 hour to complete 50 math problems Eric is able to complete 48 math problems in 2/5 hour the student that can complete math problems at a greater rate of problems per hour is: They solve the same number of problems per hour.
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