Answers
Answer:
Step-by-step explanation:
for the first car 374/17 = 22 m per second
for bus 414/23 = 18 m per second
so the car is moving faster
car is moving faster than (22-18)=4 m per second from the bus
Answer: Car: 22 meters per second, Bus: 18 meters per second. The bus travels faster at 4 meters per second.
Step-by-step explanation: First, you should write a proportional relationship for meters per second so the car would be 374/17 and the bus would be written as 414/23. This is so you can know that you divide 374 by 17 to get 18, and 374 by 17 to get 22. So, you had it backward, the bus is faster by 4 meters per second, I hope this helped, for me (a 7th grader) this was review math, so I hoped this helped you.
Related Questions
15 POINTS
Determine the perimeter of the right triangle shown.
right triangle with vertices at negative 4 comma 4, 4 comma 4, and 4 comma negative 2
10 units
24 units
36 units
64 units
Answers
The perimeter of the triangle is 24 units.
What is a triangle?
Triangle is bounded area by three sides. If length of all sides is not equal, then the triangle is known as an obtuse triangle.
The vertices of the triangle are A(-4,4), B(4,4), and C(4,-2)
The formula distance between two points (x₁, y₁) and (x₂, y₂) is √[(x₂ - x₁)² + (y₂ - y₁)²]
The length of line segment AB is √[(4 - (-4))² + (4 - 4)²] = √8² = 8 units
The length of line segment BC is √[(4 - 4)² + (-2 - 4)²] = √6² = 6 units
The length of line segment AC is √[(4 - (-4))² + (-2 - 4)²] = √[8² + 6²] = √100 = 10 units.
The perimeter of a triangle is sum of all sides of the triangle.
The perimeter of the triangle is
AB + BC + AC
= 8 + 6 + 10
= 24 units
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Which expression is equivalent to x + x + x + x?
Answers
Step-by-step explanation:
4x is the equivalent expression if thats an option
Timmy received $50 for his birthday. Following the birthday party, his parents promised him $5 each week for completing his chores. Assuming timmy completes all chores, use a linear equation to determine the number of dollars timmy will have 7 weeks after his birthday.
Answers
Assuming timmy completes all chores, the number of dollars timmy will have 7 weeks after his birthday is 85 dollars.
What are equations?In mathematics, an equation is a claim that two expressions are equivalent. It is a mathematical expression that employs the equals symbol, "=", to indicate that two quantities have values that are equal. Problems in algebra, geometry, calculus, and other branches of mathematics are frequently solved using equations. In algebra, equations are frequently used to depict the connection between variables and constants, as well as to discover the value of an unknown variable. For example, the equation x + 2 = 5 may be utilised to get the value of x, which is 3. Equations can be linear, quadratic, or higher-degree, and they can involve multiple variables.
How to solve?
Let x be the number of weeks after Timmy's birthday.
The total number of dollars Timmy will have after x weeks is 50 + 5x.
Therefore, Timmy will have 50 + 5(7) =85 dollars after 7 weeks
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the initial population of a town is 100,231 and it grows with a doubling time of 98 years. what will the population be in 31 years?
Answers
If the initial population of a town is 100,231 and it grows with a doubling time of 98 years, the population after 31 years is 124803
The initial population of the town = 100231 people
The doubling time = 98 years
We have to find the population in 31 year
The exponential function will be
f(t) = fo(2)^(t/98)
f(t) is the population of the town in t years
fo is the population of the town in t = 0 years
t is the number of years
2 because it doubling time
The value of t = 31 years
Substitute the values in the function
f(31) = 100231×(2)^(31/98)
Do the arithmetic operations
f(31) = 100231 × 1.245
f(31) = 124803.23
f(31) ≈ 124803
Therefore, the population after 31 years is 124803
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You have a $40 coupon and a 10% off
promotional dicount for a limouine rental. The cot
of the limouine i $100 per hour, plu a 20% gratuity. You rent the limouine for 4 hour. Ue compoition
of function to find the amount you pay in each
ituation. A. The coupon i applied before the promotional
dicount. B. The promotional dicount i applied before
the coupon
Answers
When we apply coupon before promotional discount, we have to pay $396.
When we apply promotional discount first and then coupon, we have to pay $392
Given,
The coupon amount = $40
Promotional discount = 10%
The rent per hour = $100 + 20% gratuity
The rent for 4 hours including gratuity = (100 × 4) + (100 × 4 + 10/100) = $480
We have to find the amount for the situations given below;
a) The coupon is applied before the promotional discount;
Here,
Coupon deduction;
480 - 40 = $440
Promotional discount deduction;
10% of 440 = 44
Then,
440 - 44 = $396
We have to pay $396.
b) The promotional discount is applied before coupon;
Here,
Promotional discount deduction;
10% of 480 = 48
Then,
480 - 48 = $432
Coupon deduction;
432 - 40 = $392
We have to pay $392.
Therefore,
When we apply coupon first and then promotional discount, we have to pay $396
When we apply promotional discount before coupon, we have to pay $392.
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The circumference of a circle is 11π cm. What is the area, in square centimeters? Express your answer in terms of π.
Answers
Answer:
The area of the circle is 30.25π cm^2.
Step-by-step explanation:
The circumference of a circle is equal to the diameter of the circle times π. Therefore, if the circumference of the circle is 11π cm, the diameter must be 11 cm.
The formula for the area of a circle is A = πr^2, where r is the radius of the circle. The radius of the circle is half the diameter, so the radius is (1/2) * 11 cm = 5.5 cm.
Substituting this value for r into the formula for the area of a circle, we get:
A = π * (5.5 cm)^2
= π * 30.25 cm^2
= 30.25π cm^2
Therefore, the area of the circle is 30.25π cm^2.
Kristin's credit rating was lowered, and the credit card company raised her apr from 14% to 15. 2%. If her average daily balance this month is x dollars, express algebraically the increase in this month's finance charge due to the higher apr.
Answers
The algebraic expression for the increase in this month's finance charge due to higher APR is 0.001x .
In the question ,
it is given that ,
Kristin's credit rating was lowered ,
and the credit card company raised the APR from 14% to 15.2% ,
the average daily balance in this month is = $x .
the finance charge for 14% APR is = x*(14%/12)
= 0.01167x
the finance charge for 15.2% APR is = x*(15.2%/12)
= 0.01267x
So , the increase in finance charge is = 0.01267x - 0.01167x
= 0.001x
Therefore , the algebraic expression is 0.001x .
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What is the value of x? Please give steps on how you did it. Please, Hurry it is due at 11:59 pm.
Answers
Answer:
51/3
Step-by-step explanation:
Angles opposite congruent sides of a triangle are congruent.
[tex]x+17=4x-34 \\ \\ 17=3x-34 \\ \\ 51=3x \\ \\ x=51/3[/tex]
∠c=?
a) 30° b) 50°
c) 70° d) 100°
∠c - ∠b =?
a) 30° b) 40°
c) 50° d) 70°
∠a=?
a) 80° b) 70°
c) 40° d) 30°
Answers
∠c = 100° (Since ∠c and ∠100° are opposite angles)
∠c - ∠b = 70° (∠b =30° since ∠b and ∠30° make 60°)
∠a = 30° (Since ∠a and ∠30° vertically opposite angles)
What are opposite angles?
Angles, where two lines cross that are directly opposite one another, are known as opposite angles. The vertex, where the lines come together to produce the angle, is the location of the junction. Vertical angles are another name for opposite angles. Congruent angles are those that have opposite angles that are equal or have the same measurement. For instance, A and C are referred to be opposite angles in the parallelogram ABCD. B and D are the opposing angles in a similar way.
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Morgan has 6 packs of erasers. Each pack of erasers has x erasers in it. After Avery gives her 3 more erasers, she has a total of 27 erasers.
a. Model the situation with an equation.
b. Find a solution to your equation from part (a)
c. Interpret the solution in the context of the problem.
Answers
Answer:
a.6x+3=27
b.x=4
c. Morgan has 6 packs of erasers, each pack has 4 erasers, and after Avery gives her three more erasers, she has a total of 27.
Step-by-step explanation:
a.6x+3=27
6x=24
b.x=4
c. Morgan has 6 packs of erasers, each pack has 4 erasers, and after Avery gives her three more erasers, she has a total of 27.
imran s father is 50 years old and Imran is 2 years old now . how many years ago was Imran s father was three times as old as him
Answers
Answer:
25
solution
50=3x
or, 50/3=x
or, x=16.66
hence,imran father will 16 years
 Write an equation in slope-intercept form of the line that is parallel to the one given and passes through the given point
(1,3); y=7x+5
Answers
An equation in slope-intercept form of the line that is parallel to the one given and passes through the given point is y=7x+5.
x - axis interception points of [tex]$7 x+5: \quad\left(-\frac{5}{7}, 0\right)$[/tex]
y - axis interception point of [tex]$7 x+5: \quad(0,5)$[/tex]
X-Intercepts: [tex]$\left(-\frac{5}{7}, 0\right)$[/tex], Y Intercepts: (0,5)
Slope of [tex]$7 x+5: \quad m=7$[/tex]
Steps
7x+5
What is line equation?
For a line equation for the form of y=m x+b, the slope is m. m=7
The first step to answering this question is to find the slope of the first line. To do that, we need to put it in slope-intercept form.
y=7x+5 => y=7x+5
So the slope of this line is 7. Perpendicular lines have a negative reciprocal slope, so the slope of the perpendicular line is 7. Using that and the point (1,3) we can make an equation for the line in point-slope form: We can then convert this into slope intercept form.
=> y=7x+5
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29% of all telephones of a certain type are submitted for service while under warranty. of these, 51% can be repaired whereas the remaining must be replaced under warranty. if a company purchases 10 of these telephones, what is the probability that exactly 2 will end up being replaced under warranty? (state your answer in decimal terms precise to three decimal places.)
Answers
Probability that exactly 2 will end up being replaced under warranty is 0.14781.
The problem states that 20% are likely to need warranty service, and of the 20% that need repair, 40% are likely to need to be replaced. This implies that 8% of the total are likely to need warranty service and be replaced (.20)(.40)=0.08
Therefore, p=0.08
n=10
and x=2 then we have to put the values in the formula,
We now plug all of this into formula , then we get
b(x;n,p) = [tex]\left \{ {{n} \atop {x}} \right. }px(1-p) to the power n-x\\[/tex]
and we get ,
So,
b(2;10,0.08) = (10 2)(0.08)²(1-0.08) to the power 10-2
=45(0.0064)(0.92)to the power 8≈0.14781
So, the probability is 0.14781
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Your favorite basketball team has won 76% of the 50 games that they played so far this season. How many games has the
team won so far this season?
Answers
Answer:
38
Step-by-step explanation:
76% of 50 is 38
Answer: 38 games
Step-by-step explanation: The answer is actually pretty simple to get to. You just need to find 76% of 50. Let x be the amount of games they have won this year. The equation is: x= 0.76*50. Why it is 0.76 instead of 76 is because percent is always out of 100 that is why the max is 100%. So 0.76 is the same as 76/100 which is also 76%. Back to the equation: x = 0.76*50. If you solve the equation which is just 0.76*50, you would get 38. 38 is how many games they won in the season.
A graduate student is designing a research study. She is hoping to show that the results of an experiment are statistically significant. What type of p-value would she want to obtain?.
Answers
Answer: significant
Step-by-step explanation:
Find an explicit formula for the following equence, an which tart with a1=23. 23,34,45,56,…
Answers
The explicit formula for the given arithmetic sequence is aₙ = 23 + (n - 1)11. Here the first term is a1 = 23 and the common difference is d = 11.
What is the explicit formula for an arithmetic sequence?The explicit formula for an arithmetic sequence gives the nth term of the sequence. I.e.,
aₙ = a1 + (n - 1)d
Here a1 is the first term; d is a common difference, it is calculated by
d = aₙ₊₁ - aₙ = aₙ₋₁ - aₙ
Calculation:The given sequence is 23, 34, 45, 56,...
Here the first term a1 = 23
So, the common difference between the terms in the sequence is
d = 34 - 23 = 11
Then, the explicit formula for the given sequence is
aₙ = a1 + (n - 1)d
⇒ aₙ = 23 + (n - 1)11
Therefore, the nth term of the explicit formula for the given arithmetic sequence is aₙ = 23 + (n - 1)11.
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kjlklnlkjklnnnnnnnnnnnnnlkhi
Answers
Answer:
yes seems like you understand
Answer:
yes
Step-by-step explanation:
yes
Cozy nights industries manufactures down-filled comforters and uses activity-based costing. The following information is provided for september. Activity estimated indirect activity costs allocation base estimated quantity of allocation base materials handling $ 12,600 number of parts 4,200 parts assembly 55,440 number of parts 4,200 parts packaging 10,920 number of comforters 1,050 comforters each comforter consists of 4 parts and the direct materials cost per comforter is $14. 0. Based on the information given for cozy nights industries, what is the total cost of packaging each comforter?.
Answers
The required total cost of packaging each comforter is $89.20.
How to calculate the total cost of packaging each comforter?Activity estimated indirect activity costs allocation base estimated quantity of allocation base,
materials handling $ 12,600 number of parts 4,200 parts
Cost per part = $ 12,600/4,200 = $3
assembly$ 55,440 number of parts 4,200 parts,
Cost per part = $ 55,440/4,200 = $13.20
packaging $10,920 number of comforters 1,050 comforters each comforter consists of 4 parts
Cost per part =$10,920 /1,050 = $10.40
Then, For all cost of 4 parts,
Materials handling = ($3 x 4) = $12
Assembly = ($13.20 x 4) = $52.80
Packaging = ($10.40 x 1) = $10.40
Total overhead cost = $75.20
And Direct materials cost = $14.00
So, total manufacturing cost = $75.20 + $14.00 = $89.20
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A state seal, which is round, hangs in the capitol building. It has a radius of 2 yards. What is the seal's diameter?
Answers
Step-by-step explanation:
you do understand that the diameter of a circle is simply 2 times the radius, yes ?
imagine a circle and you draw a radius line (from the center of the circle to the circle arc).
and now imagine to draw another radius line, just in the opposite direction.
when you look at the result, you have 1 straight line going from the circle arc to the circle arc and passing through the center of the circle. that is what a diameter is.
how long is it ? well, we drew 2 radius lines to create this line. so, it is 2×radius long.
so, the diameter of the seal is
2×2 = 4 yards
Norberto received the following scores on his last five spelling tests: 88, 76, 93, 85, and 98. Which of the following statements is
true?
The median of the set of scores is 93.
The mean and median of the set of scores are the same.
The mode of the set of scores is 88.
The mean of the set is less than the median.
Answers
They are both equal to 88.
A company makes two chemicals: Type I and Type II. Due to storage problems, a maximum of 100 pounds of Type I and 150 pounds of Type II can be mixed and packaged each year. One pound of Type Itakes 62 hours to mix and 78 hours to package; one pound of Type II takes 44 hours to mix and 46 hours
to package. The mixing department has at most 7220 hours available each year, and packaging has at most 8260 hours available. If the profit for one pound of Type I is $70 and for one pound of Type II is $46, what is the maximum profit possible each year?
Answers
Max profit would be 54 type 1 and 88 type 2
what is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
given:
Let x be the amt of type 1 and y be the amt of type 2.
Then, Storage constraints
x ≤ 100
y ≤ 150
and, Mixing constraint:
62x + 44y ≤ 7220
44y = 7220-62x
y = 164 - 1.4x
and, Packaging constraint:
78x + 46y ≤ 8260
46y = 8260 - 78x
y = 180 - 1.7 x
Then, The objective functions for each corner of the region
solve:
62x + 44y = 7220
78x + 46y = 8260
So, x=54,y=88
Hence, Max profit would be 54 type 1 and 88 type 2
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What are the vertex and range of y = |x − 5| + 4?
(5, 4); −∞ < y < ∞
(5, 4); 4 ≤ y < ∞
(−5, 4); −∞ < y < ∞
(−5, 4); 4 ≤ y < ∞
Answers
The vertex and the range of y = |x - 5| + 4 are (b) (5, 4); 4 ≤ y < ∞
How to determine the vertex and the range?The equation is given as
y = |x - 5| + 4
The above equation is an absolute value function
An absolute value function represented as
y = a|x - h| + k
Where
Vertex = (h, k)
This means that the vertex is
Vertex = (5, 4)
Remove the x value
y = 4
Because the leading coefficient is positive, then the vertex is a minimum
i.e.
y ≥ 4
So, the range is 4 ≤ y < ∞
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Answer: I think C
Step-by-step explanation:
The yearly profits of a company is $25,000. The profits have been decreasing by 6% per year. Write an exponential function that represents this scenario.
Answers
Answer: taxes
Step-by-step explanation:
which of the following represents 3 square root x^2 in exponential form?
Answers
Answer:
D
Step-by-step explanation:
the numerator of the exponent is the exponent of x
the denominator is the the index of the root
Option D is correct
Lillian has a rectangular garden with an area of 10x2 +33x – 7 square feet. Find the expressions that would represent the length and width of the garden. Make sure you show all your work for full credit.
Attempt was made but incorrect
(1 pt)
Correct but no work shown OR less than half the work is correct
(2 pts)
About half of the work is correct
(3 pts)
Most of the work is correct (4 pts)
Fully Correct with all work shown
(5 pts)
Answers
If Lillian has a rectangular garden with an area of 10x² +33x – 7 square feet.The expressions that would represent the length and width of the garden will be (5x-1)(2x+7)
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that, Lillian has a rectangular garden with an area of 10x² +33x – 7 square feet.
We have to find the expression representing the length and width of the garden.
[tex]=10x^2+33x-7 \\\\ =\left(10x^2-2x\right)+\left(35x-7\right) \\\\ =2x\left(5x-1\right)+7\left(5x-1\right)\\\\ =\left(5x-1\right)\left(2x+7\right)[/tex]
The area of the rectangular garden is,
A = L × B
Comparing the expression with the obtained expression we get the expressions that would represent the length and width of the garden as,
A= (5x-1)(2x+7)
Thus, if Lillian has a rectangular garden with an area of 10x² +33x – 7 square feet. The expressions that would represent the length and width of the garden will be (5x-1)(2x+7)
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Which of the following equations is correct? Select all that apply.
Answers
Answer:
option a is correct i.e 6.25 = 25/4
Step-by-step explanation:
= 6.25
= 625 / 100
both being divisible by 5
we get
= 25/4
If I was born in 2008, how many years do I need to be 18?
Answers
Answer:
4 more years
Step-by-step explanation:
you were born in 2008, you should be 14 now or soon, by the end of the year. So 4 in 4 years you would be 18.
Answer: Simple, you are 14 right? So 4 more years
Step-by-step explanation:
Add 14+4 and you'll get 18.
Is this a function? Explain, why or why not!
8
6
4
2
0
0
2
4
6
Edit View Insert Format Tools Table
Answers
Answer:
Yes
Step-by-step explanation:
Every input has only one output.
Explanation: For every input there is one output also none of the points line up with eachother
the sum of two consecutive if the first one is n
Answers
Step-by-step explanation:
The sum of two consecutive integers if n is the first integer.
consecutive means immediately after, so we have:
n
n + 1
The sum is written as:
n + n + 1
Grouping like terms, we have:
(n + n) + 1
2n + 1
A department store buys 200 shirts at a cost of $2,400 and sells them at a selling price of $20 each. Find the percent markup.
Answers
If the store buys 200 shirts for $2400 and sells for $20 each then the percent markup is = 66.67% .
In the question ,
it is given that ,
the number of shirts that departmental store buys is = 200 shirts .
the cost price for 200 shirts is = 2400
So , the cost for 1 shirts is = 2400/200 = $12 ,
the selling price for 1 shirt is = $20 ,
the percent markup can be calculated using the formula ,
percent markup = (selling price - cost price)/(cost price) × 100 ,
= (20 - 12)/12 × 100
= 8/12 × 100
= 800/12
= 66.66666
≈ 66.67 % .
Therefore , percent markup is 66.67% .
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