Answer:
$1.62
Step-by-step explanation:
If you divide $2.43 by 3 it's 0.81 and that's the cost of one loaf of bread so multiply that by 2 and you get the cost of two loaves of bread which is $1.62
Y= -4x-10
For all prime numbers less then 15
The values of y for all the prime numbers less than 15 are -14, -18, -22, -30, -28, -54, -62
What are prime numbers?Prime numbers are defined as numbers that have only two factors:
The number 1Number itselfFrom the information given, we need to find the value of x as prime numbers less than 15
The prime numbers that are less than 15 are:
1, 2, 3, 5 , 7, 11, 13
Now, let's substitute each as the value of x as follows
Substitute x as 1
y = - 4(1) - 10
y = -4 - 10 = -14
Substitute x as 2
y = -4(2) -10
y = -8 - 10 = -18
Substitute x as 3
y = -4(3) - 10
y = -12 -1 0 = -22
Substitute x as 5
y = -4(5) - 10
y = -20 - 10 = -30
Substitute x as 7
y=-4(7) -10
y = -28 - 10 = -38
Substitute x as 11
y = -4(11) - 10
y = -44 - 10 = -54
Substitute x as 13
y = -4( 13) - 10
y = -52 - 10 = -62
Thus, the values of y for all the prime numbers less than 15 are -14, -18, -22, -30, -28, -54, -62
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If angle 2 = 6x + 5 and angle 4 = 4x + 14, what is the value of angle 2? Round your answer to the hundredths place.
Answer:
32°
Step-by-step explanation:
Angles 2 and 4 are vertical angles, so they are congruent. That means that their measures are equal.
First, we set their measures equal to each other.
Then we solve the equation for x.
Then, we use the value of x to find the angle measure.
m<2 = 6x + 5
m<4 = 4x + 14
Set the measures equal.
6x + 5 = 4x + 14
Subtract 4x from both sides.
2x + 5 = 14
Subtract 5 from both sides.
2x = 9
Divide both sides by 2.
x = 4.5
m<2 = 6x + 5
m<2 = 6 × 4.5 + 5
m<2 = 27 + 5
m<2 = 32
Answer: 32°
Justify Reasoning The quotient of two negative integers results in an integer. How does the value of the quotient compare to the value of the original two integers? Explain.
The quotient compares to the value of the original two integers as it's a positive number.
How to calculate the value?The result of dividing two numbers is a quotient; the divided number is referred to as the dividend, and the number by which it is divided is referred to as the divisor.
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers.
From the information, the quotient of two negative integers results in an integer.
Fur example, -4 divided by -2 will give a value of 2. Therefore, the quotient of the negative numbers is a positive number.
Therefore, the quotient compares to the value of the original two integers as it's a positive number.
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Finx, inc, purchased a truck for $40,000. The truck is expected to be driven 15,000 miles per year over a five-year period and then sold for approximately$5000.
Determine depreciation for the first year of the trucks useful life by the street wine in units of output methods if the truck is actually driven 16,000 miles.
Round to two decimal places.
The depreciation for the first year of the truck's useful life is $32,000.
The cost of the truck is $40000.
The useful time is 5 years.
The residual value is $5000.
Now, the depreciation is given as:
SLM depreciation = (Cost - Residual Value) / 5 years
Depreciation expense per year = ($40,000 - $5,000) / 5
Depreciation expense for the first year = $7,000
Now,
The depreciation expense per mile is the difference between cost and residual value divided by expected miles over the truck's life.
Depreciation expense per mile = (Cost - Residual Value) / Expected miles over truck's life.
Depreciation expense = Depreciation expense per mile × Miles driven
Therefore,
Depreciation expense per mile will be:
= ($40,000 - $5,000) / 15,000 miles = $2.33 or $2
The first year depreciation will be:
= 16,000 miles × $2 per mile = $32,000
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Y₁ = 10x-4, y2 = 6x +17, and y₁ exceeds y₂ by 3.
Answer:
y1+3=y2
10x-4=10x-4+3
Find the value of r so the line that passes through each pair of points has the given slope.
(r, 7), (3, 4), m = -3/5
The value of r so that the line passes through (r, 7), (3, 4) and slope of - 3 / 5 is - 2.
How to find the pair of point of a line using the slope?The slope of the line is given as m = - 3 / 5.
The pair of point are (r, 7)(3, 4).
Using slope intercept form equation is as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, using (3, 4) we will find the y-intercept
y = - 3 / 5 x + b
4 = -3 / 5 (3) + b
4 = - 9 / 5 + b
b = 4 + 9 / 5
b = 20 + 9/ 5
b = 29 / 5
Therefore, the equation of the line is as follows;
y = - 3 / 5x + 29 / 5
Hence, let's find r (r, 7)
7 = -3 / 5(r) + 29 / 5
7 - 29 / 5 = -3 / 5 r
35 - 29/ 5 = -3 / 5 r
6 / 5 = - 3 / 5 r
cross multiply
-15r = 30
divide both sides by -15
r = 30 / -15
r = -2
Therefore, the value of r is -2.
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ill give brainly and 10 points
Answer: D
Step-by-step explanation:
Which of the following is a factor of x3 − 1331?
x − 11
x2 − 11x + 121
x2 + 22x + 121
None of the above
Based on the information, the option that is a factor of x³ - 1331 is A. x - 11.
What are factors?It should be noted that factor simply means the number that divides another number. In contrast to multiples, which are multiplied by another number to produce particular numbers, factors are the numbers that split the supplied number exactly.
It should be noted that when we factor out 1331, we will get the values of 11 × 11 × 11. Therefore, it should be noted that the expression will become x³ - 11³.
Therefore, it should be noted that the formula that will be applied will be:
a³ - b³ = (a - b)(a² + an + b²)
Therefore, applying the formula illustrated will give:
x³ - 11³
= (x - 11)(x² + 11x + 11²)
= (x - 11)(x² + 11x + 121
Therefore, the option that is a factor of x³ - 1331 is x - 11.
Based on the information, the option that is a factor of x³ - 1331 is A. x - 11. In conclusion, the correct option is A.
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Answer:
A
Step-by-step explanation:
John wrote the numbers 678901 and 67890. How many times greater is the value of 7 in 678901 than the value of 7 in 67890?
Answer:In the number, 687,760, there are two 7s; one is at a place value of hundred and the other is at thousand.
Hence, the higher place value 7 is 10 times greater than lower place value 7. Every consecutive place value is 10 times greater than the right one.
Step-by-step explanation:
is q=2p+1/2 proportional?
Answer:
Step-by-step explanation:
a(i) q = 2p + (1/2)
(ii) v = (1/10)u
(iii) t = 15d
(iv) m = 0.75d - 2
2p is added by the same constant so it's not proportional
There are 135 people in a sport centre.
73 people use the gym.
73 people use the swimming pool.
67 people use the track.
36 people use the gym and the pool.
35 people use the pool and the track.
32 people use the gym and the track.
14 people use all three facilities.
A person is selected at random.
What is the probability that this person uses at least 2 facilities?
Probability that this person uses at least 2 facilities is; 0.556
How to Interpret Venn Diagrams?
We are told that 14 people use all three facilities. This means:
36 − 14 = 22 represents the number of people that are using the gym and the pool but no the track.
35 − 14 = 21 represents the number of people that are using the pool and the track but no the gym.
32 − 14 = 18 represents the number of people that are using the gym and the track but no the pool.
Thus, total number of people that use at least 2 facilities = 14 + 22 + 21 + 18 = 75
Since total number of people at the sports center is 135, then it means that;
Probability that this person uses at least 2 facilities = 75/135 = 0.556
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7) Juan makes a base monthly salary of $3600. As a vendor, he must sell $35000 worth of items per month. He also makes a 9% commission on all sales beyond the monthly quota. There is also an additional 9% bonus on top of the normal commission rate for any sales beyond $52500. If Juan sold $56000 worth of items this month, what is his total salary for the month including base salary and commission to the nearest dollar?
The salary for the month for Juan including base salary and commission is $5805.
How to calculate the value?It should be noted that that Juan makes a base monthly salary of $3600 and he must sell $35000 worth of items per month. He also makes a 9% commission on all sales beyond the monthly quota.
Also, there is also an additional 9% bonus on top of the normal commission rate for any sales beyond $52500.
The total salary will be:
= $3600.+ (9% × $56000 - $35000) + (9% × $56000 - $52500)
= $3600 + $1890 + $315
= $5805
Therefore, the salary for the month for Juan including base salary and commission is $5805.
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Graph the line whose x -intercept is 9 and whose y-intercept is 7.
The x-intercepts and y-intercepts (9,0) and (0,7) respectively.
In geometry, a line draw in between the coordinate axes by using the intercepts. The intercepts are the intersecting points of the points of the line with coordinate axes. The intersecting point of the line with x - axis is called the x - intercept (a,0). Here a is the intercept length.
Similarly, The intersecting point of the line with y - axis is called the y - intercept (0,b). Here b is the intercept length.
Now,
The x-intercept (a) = 9
So, the x - intercept point is (9,0)
and
The y - intercept (b) = 7
So, the y - intercept point is (0,7)
Now, the graph of the line :
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An oceanside surf shop sells a bodyboard for $34.95. The wholesale cost of the bodyboard is $21.18. What is the percent of markup? Round to the nearest percent.
Answer: 14%
Step-by-step explanation:
Can someone help me with geometry
Answer:
Angle A = Right angleAngle B = Obtuse angleAngle C = Acute angleStep-by-step explanation:
The little square symbol made in intersection point of two rays of angle A represents a right angle.
Angle B looks greater than Angle A but less than 180° (straight line) And Angle C looks smaller than Angle A but greater than 0 in measure.
Angle that lies between 0° and 90° = acuteAngle that measure 90° = rightAngle that lies between 90° and 180° = obtuseAnswer:
A. Right angle - it's is a right angle bcuz it's of 90° and perpendicular.
B. Obtuse angle - it's an obtuse angle bcuz it's more than 90°
C. Acute angle - it's an acute angle bcuz it's less than 90°
For the pie chart, how many people aged 31-50 years old are cell phone users in the tri-County area if the number of people who use
cell phones is 72,345,000?
The number of people aged 31-50 years old are cell phone users in the tri-County area are 26,767,650.
What is defined as the pie chart?A pie chart, also known as a circle chart, is a method of summarizing a set of numeric variables or displaying the variables of a given factor (e.g. percentage distribution).
A circle is divided into segments in this type of chart. Each section represents a different category.A pie chart (also known as a circle chart) is a radial statistical graphic that is divided in to other slices to show numerical proportion. The arc length of each slice in a pie chart (and thus its central angle but also area) is proportional to the amount it represents.For the given question;
The total population = 72,345,000.
The total percentage between 31-50 years old = 23% + 14% (see from graph).
Let x be the total number of people between aged between 31 -50 years who are cell phone users.
(23% + 14%) of 72,345,000 = x
x = 37× 72,345,000 / 100
x = 26,767,650.
Therefore, the number of cell phone users aged between 31 to 50 are 26,767,650.
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Find the polynomial of degree 3, with constant coefficient -12 and zeros -3, -1, and 2.
The equation of the polynomial equation is P(x) = -12(x + 3))(x + 1)(x - 2)
What are polynomial expressions?Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the polynomial equation?The given parameters are
Degree of polynomial = 3Zeros = -3, -1, 2Constant coefficient = -12The sum of multiplicities of the polynomial equation must be equal to the degree.
This means that the multiplicity of each zero is 1
The equation of the polynomial is then calculated as
P(x) = Coefficient * (x - zero)^ multiplicity
So, we have
P(x) = -12(x - (-3))(x - (-1))(x - 2)
This gives
P(x) = -12(x + 3))(x + 1)(x - 2)
Hence, the equation of the polynomial equation is P(x) = -12(x + 3))(x + 1)(x - 2)
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The number π is WHAT IS THE ANSWER I LOVE IT
Answer:
what's your question?
Step-by-step explanation:
Your return on investment A is 4.5% and your return on investment B is 3%. If the total of your investment is $75,000, how much should you invest in each fund to obtain a return of 4%?
One has to invest $50000 in A and $25000 in B
Let x represent the investment in A and y represent the investment in B.
Total investment is $75,000 ( given )
hence x + y=$75,000 (from the above information)
x + y= 75,000 (equation 1)
Interest rate in A is 4.5 % and Interest rate in B is 3 %
now, 4% of $75000 = $3000
4.5x/100 + 3y/100 = $3000
= 4.5x+3y=300000 ( equation 2 )
Multiplying 3 to equation 1
which equals to 3x + 3y= 225000 ( equation 3 )
Solving equations: equation 2 & equation 3
4.5x+3y=300000 ( equation 2 )
3x + 3y= 225000 ( equation 3 )
(-) (-) = (-)
1.5x = 75000
x= 50000
substituting x= 50000 in equation 1 (x + y= 75,000)
50000 + y= 75,000
⇒y =75000-50000
⇒y=25000
Hence, Check can be done by multiplying the interest rates with the respective answer and summing them to get $3000
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27) A magician has a bag of colored scarves for a magic trick that he performs. The bag contains 3
blue scarves, 1 red scarf, 5 green scarves, and 2 orange scarves. If the magician removes scarves at
random and the first scarf he removes is red, what is the probability that the next scarf will be orange?
28) A card is drawn at random from a deck of cards. Find the probability of getting the ace of spades.
29) A card is drawn at random from a deck of cards. Find the probability of getting a king, queen, or
jack.
a. The probability that the next scarf will be orange will be 1/5.
b. The probability of getting the ace or spades will be 17/52.
c. The probability of getting a king, queen, or jack will be 3/14.
How to calculate the probability?a. The bag contains 3 blue scarves, 1 red scarf, 5 green scarves, and 2 orange scarves. The probability that the second scarf will be orange will be:
= 2/(3 + 5 + 2)
= 2/10
= 1/5
B. When a card is drawn at random from a deck of cards, the probability of getting the ace or spades will be:
Total number of cards withe the ace = 52
Total number of ace = 4
Number of spade = 13
The probability will be:
= 4/52 + 13/52
= 17/52
C. The probability of getting a king, queen, or
jack will be:.
= 4/52 + 4/52 + 4/52
= 12/52
= 3/14
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Given the function g(x) = |x-5|, describe the graph of the function, including the vertex, domain, and range.
Answer:
Step-by-step explanation:
The graph will open upwards
Shifted to the right by 5
Vertex: (5,0)
Domain: x= All Real Numbers
Range: y[tex]\geq[/tex]0
A billboard painter is using a pulley system to hoist a can of paint up to a scaffold at a rate of half a meter per second. The height of the can of paint as a function of time is given by h(t) = 0.5t + 8. Five seconds after he starts raising the can of paint, his partner accidentally kicks a paint brush off of the scaffolding, which falls to the ground. The height of the falling paint brush can be represented by h(t) = −4.9(t − 5)2 + 38. When does the brush pass the paint can? If necessary, round your answer to the nearest hundredth.
The value of the t in the linear equation is 10 approximately.
According to the statement
We have to find that the value of the t.
So, For this purpose, we know that the
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.
From the given information:
The equations are:
h(t) = 0.5t + 8.
h(t) = −4.9(t − 5) + 38.
Then
= 0.5t + 8
= −4.9(t − 5) + 38.
And
= 0.5t + 8
= −4.9t + 24.5 + 38.
And
= 0.5t + 8
= −4.9t + 62.5
Now,
Subtact the equations then
= 0.5t + 8 - (−4.9t + 62.5)
= 0.5t + 8 + 4.9t - 62.5
= 0.5t + 4.9t - 62.5+8
= 5.4t -54.5
Then
5.4t = 54.5
t = 54.5/5.4
t = 10.092.
So, The value of the t in the linear equation is 10 approximately.
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Divide 2 5/16 ÷ 7/8
helpppppppppp
Answer:
When dividing fractions we "invert and multiply".
First, we should change 2 (5/16) to 37/16.
So, 37 / 16 divided by 7 / 8 equals
37 / 16 times 8 / 7
which equals 296 / 112 = 37 / 14 which equals
2 (9/14)
Step-by-step explanation:
Find and y.
x
A
8
||
y=
B
»
yx
18
D
The solution of the given equations that is x = 7 and x + y = 18 is :
x = 7
y = 11
What is a parallelogram ?
A parallelogram is a two-dimensional geometrical shape, whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length. The Sum of adjacent angles of a parallelogram is equal to 180 degrees.
The figure shown is an parallelogram, where length of opposite sides are equal to each other
From the figure,
x = 7, as opposite side of x is given as 7
x + y = 18,
Putting the value of x in the above equation,
7 + y = 18
y = 18 - 7
y = 11
Therefore, we get after solving the given equations :
x = 7
y = 11
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Charlie and Violet met for lunch at a restaurant between Memphis and New Orleans. Charlie had left Memphis and drove 5.5 hours towards New Orleans. Violet had left New Orleans and drove 2 hours towards Memphis, at a speed 10 miles per hour faster than Charlie's speed. The distance between Memphis and New Orleans is 395 miles. Find the speed, in miles per hour, of the two drivers.
Charlie 50 miles per hour
Violet 60 miles per hour
It is given that the distance between Memphis and New Orleans is 395 miles. This means, the total distance both covered = 395 miles
Charlie drove for 5.5 hours and Violet drove for 2 hours. Let the speed of Charlie be x miles per hour. Since, the speed of Violet was 10 miles per hour faster than Charlies, the speed of charlie was (x + 10) miles per hour
Since, distance = speed × time
Distance covered by Charlie = 5.5x
Distance covered by Violet = 2(x + 10)
Altogether they covered 395 miles,
So,
395 = Distance covered by Charlie + Distance covered by Violet
395 = 5.5x + 2(x + 10)
395 = 5.5x + 2x + 20
375 = 7.5x
x = 375/7.5
x = 50 mph
Since, x represents the speed of Charlie, the speed of charlie was 50 miles per hour and speed of Violet =
Speed of Charlie +10
50+10 =60
speed of Violet =60mph
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Fill in the blank with the missing number that makes this a true equation.
9/10 − 11/__ = 1/6
Jose has fewer than 100 baseball cards. If he puts them in piles of 2, 3, 4, 5, or 6 he has one card left over each time. How many baseball cards does Jose have?
When Jose has fewer than 100 baseball cards. If he puts them in piles of 2, 3, 4, 5, or 6 he has one card left over each time, the number of baseball cards that Jose has is 61.
How to illustrate the information?It should be noted that the information is to simply find the numbers. This van only be done through manipulation.
The number is 61. It should be noted that:
61 / 3 = 20 remainder 1
61 / 4 = 15 remainder 1
61 / 5 = 12 remainder 1.
61 / 6 = 20 remainder 1.
Therefore, when Jose has fewer than 100 baseball cards. If he puts them in piles of 2, 3, 4, 5, or 6 he has one card left over each time, the number of baseball cards that Jose has is 61.
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The graph represents the number of hours that Walter sleeps in terms of the number of days.
Graph shows a ray plotted in quadrant 1 of a coordinate plane with Days on X-axis, and Hours of Sleep on Y-axis. The ray begins at the origin and it extends upward, slanting right, through (2, 16) and (4, 24).
Which function represents Walter’s situation?
A.
y = 6x
B.
y = 6
C.
y = 8
D.
y = 8x
Answer:
I believe D is the answer to the question above.
Step-by-step explanation:
Answer: pretty sure its D
Step-by-step explanation:
There are 35 green, 22 white, 30 purple and 14 blue gumballs in the gumball machine. Sharee wants to get a white or green gumball. What is the probability of getting a Green gum ball
The probability of getting a green gum ball is 0.35 (35/101)
What is probability?Probability is the measure of chance that some event would happen.
Probability that an event will occur = (No of favorable possibilities of the event) / (total possible possibilities)
Given that there are 35 green,22 white, 30 purple and 14 blue gumballs in the gumball machine.
Therefore, Total gum balls = 35+22+30+14 = 101
The probability of getting a green gumball = no of green gumballs/ total gumballs
Therefore, probability of getting a green gumball = 35/101 = 0.35
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There is a proportional relationship between the number of quarts and number of gallons for liquid measurements. What constant of proportionality relates gallons to quarts?
The value of constant of proportionality that relates gallons to quarts is 0.25 .
A constant of proportionality may be a constant worth for the magnitude relation of 2 proportional quantities. If the magnitude relation or product is constant, the 2 variables area unit proportional. the worth of the constant of quotient depends on the kind of relationship between the 2 given quantities (positive versus inverse variation).As we all know that one gallon have four quartz.
The proportional relation is written as y = kx.
We know that y varies proportionately with x.
Substitute within the such that x = four and y = one values and solve for k.
1 = k(4)
k =1 /4 = 0.25
Therefore the constant of proportionality is 0.25
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