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Related Questions
Triangle ABC is dilated to create triangle A'B'C' using point O as the center of dilation. What is the scale factor of the dilation?
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Answer: Its option C. (4)
Step-by-step explanation: You're welcome you dirty cheaters.
The weight of 10 identical samples of a substance is 0.1 pound, what is the weight of 100 samples
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All sides are congruent, opposite sides are parallel, and opposite angles are congruent (but not 90) describes which shape
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Two consecutive even integers have a sum of 42 . find the integers.
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so let x equal our first number
and to get the number next to it, we simply add 1
so.. x + (x+1) = 42
combine terms and subtract 1 from each side
2x = 41
divide each side by 2
x = 20.5
If two consecutive even integers have a sum of 42. The integers are 20 and 22.
What is an integer?it is defined as a whole number it can be a negative whole number or a positive whole number for example 2, 4, 1, -8, 0, etc.
It is given that, two consecutive even integers have a sum of 42.
The difference between two even numbers is 2.
Suppose two consecutive even integers are x , (x+2)
x + (x+2) = 42
We have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
2x +2 = 42
2x =42-2
2x = 40
x = 20
The two consecutive even integers are,
x =20
x+2 = 20 +2 =22
Thus, if two consecutive even integers have a sum of 42. The integers are 20 and 22.
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At an amusement park, Corey spends 7 minutes on a ride for every 20 minutes he spends waiting in lines. If he waits in line for 60 minutes, how many minutes does he spend on rides? [Type your answer as a number.]
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Answer:
21
Step-by-step explanation:
If a car with an average speed of 50 miles per hour travels for 30 minutes, how far will it have gone?
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secured debts must have?
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they must have a collateral
The equation below represents the fact that your driving rate (the distance divided by the time in hours) must be less than or equal to 65 mph by law. if you drive for 2.5 hours, what is the maximum distance you can drive and still be within the law
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distance = 65 * 2.5
distance = 162.5 miles at most <==
Consider the following conditional statement. If a + 1 = b, then b > a. A. Create a pair of values for a and b in which the numerical relationship shown in the given conditional statement is true. In your final answer, include the values of the variables and proof of truth. B. Is it possible to create a pair of values for a and b in which the numerical relationship shown in the given conditional statement is false? Use complete sentences to explain your answer.
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In mathematics, creating values for a and b satisfying a given conditional statement involves fulfilling the logical relationships between the variables. It is impossible to violate the logical connection established by the initial condition of the statement.
A: Let's choose a=2 and b=3. If a+1=b, then 2+1=3, which is true. So, a=2 and b=3 satisfy the given conditional statement.
B: It is not possible to create a pair of values for a and b where the numerical relationship shown in the given conditional statement is false. This is because the statement is a logical consequence of the initial condition a+1=b.
Monica ramirez works at the hospital as a nursing assistant. she works 15 hours per week and earns $8.50 per hour. what is monica's straight-time pay for each week?
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Answer:
$127.50
Step-by-step explanation:
Given: Monica ramirez works at the hospital as a nursing assistant. She works 15 hours per week and earns $8.50 per hour.
To find: Monica's straight-time pay for each week.
Solution:
Monica earns $8.50 per hour.
Monica works for 15 hours per week.
To find the straight-time pay for each week, we need to multiply the per hour cost with the total number of hours she had worked in a week.
So, the straight-time pay for each week can be calculated as:
[tex]=15\times8.50=127.50[/tex].
Therefore, the straight-time pay for each week is $127.50
What is the cosine of angle a?
a. 8/17
b. 15/8
c. 15/17
d. 8/15
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Write an expression for 4 snacks at n pence each
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The sum of two numbers is 67. the smaller number is 3 less than the larger number. what are the two numbers?
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The smaller number would be x-3
(x-3)+x=67
2x-3=67
2x=67-3
2x=64
x=64/2
x=32
Therefore the larger number is 32 and the smaller is (32)-3= 29
Hope I helped :)
Plz Answer ASAP
1.) Danielle pays a car insurance of $126 every three months. Danielle pays her teenage daughter's $342 car insurance twice a year.
How much should Danielle include for car insurance in her monthly budget?
A. $70
B. $88
C. $99
D. $105
2.) Which of the following is a variable expense?
A. Car insurance
B. rent
C. Retirement contribution
D. Home repair
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in month she should pay 342/6=57 for her daughter's car
therefore total amount gone for insurance in one month=42+57=$99
all the best
Seventeen members of Troy's family are going to an amusement park during the week of their family reunion. Adult tickets cost $39.50 each and child tickets cost $31 each. If the total cost for admission to the part is $578, how many adults went to the park?
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So the equation is 39.50x + 31y= 578
So first x has to be number of children and y be number of adults so ; x+y = 17 31x+ 39.50y = 578 x=11 , y=6.
The answer is Y=6.
11 kids. - 11*31= 341
341 + 237 = 578
A 3-ounce serving of tuna provides 21 g of protein use equivalent ratios to find how many grams of protein are in 9 ounces of tuna! Explain
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Answer: 63 grams of protein in 9 ounces of tuna
Step-by-step explanation: To find how many grams of protein are in 9 ounces of tuna, we can use equivalent ratios.
We know that a 3-ounce serving of tuna provides 21 grams of protein.
Let's set up a ratio:
3 ounces of tuna: 21 grams of protein
To find out how many grams of protein are in 9 ounces of tuna, we can set up a proportion:
3 ounces of tuna / 21 grams of protein = 9 ounces of tuna / x grams of protein
To solve for x, we can cross-multiply:
(3 ounces of tuna)(x grams of protein) = (9 ounces of tuna)(21 grams of protein)
3x = 189
Dividing both sides of the equation by 3:
x = 63
Therefore, there are 63 grams of protein in 9 ounces of tuna.
Hope this helps have a great day :)!!!!
A group of n students is assigned seats for each of two classes in the same classroom. how many ways can these seats be assigned if no student is assigned the same seat for both classes?
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Now, consider the second class. Let's start by arranging three people first and then generalising n people to better understand what is going on.
Where we have 3 people:
First class: A B C = 3!
Second class _ _ _
Now, consider where each of these people can't actually sit.
For A, it's the first seat, for B, it's the second seat, and for C, it's the last seat.
This means that we have a restriction on EACH of the candidates.
So, to tackle this, let's consider A only; B and C will follow the same way.
A can sit in 2 different spots, namely the second and last seat: thereby, having 3C2 ways in sitting. _ A _
Now, when we fix one person, C can only go in one place: first seat. This means that for one single arrangement of the first class, we've made: 3C2 arrangements for the second class, for ONE particular person. Extend that to another person, and we get: 2C1 ways
This extends to what we call: a derangement where the number of permutations made contains no fixed element. We can regard things like picking up three/two/one pen as derangements, because really we're arranging AND not arranging them simultaneously.
Thus, we use the inclusion-exclusion method:
Total no. of perms:
[tex]n! \cdot n!\left(1 - 1 + \frac{1}{2!} - \frac{1}{3!} + \frac{1}{4!} - ... + (-1)^{n} \cdot \frac{1}{n!}\right)[/tex]
The number of ways the seats can be assigned is equal to n factorial (n!).
Explanation:The number of ways the seats can be assigned is given by the permutation formula. Since there are n students and 2 classes, each student can be assigned a seat in the first class in n ways. After that, there are (n-1) seats left and (n-1) students remaining to be assigned seats in the second class. Therefore, the total number of ways to assign seats is n * (n-1) * (n-2) * ... * 1, which is equal to n factorial (n!).
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If the cost of a pound of nails increased from $2.29 to $2.48. what is the percent of the increase to the whole number percent?
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hope it helps
The answer is provided in the image attached.
Have a great day!
Randy and Susie Moser are newlyweds. Randy drives their car to his job, twenty-seven miles away from home, each day. If Randy and Susie are both twenty, what premiums would they pay for bodily injury and property damage insurance in the amount of 50/100/10?
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834.10
I am not 100% positive tho...
Joanna, Dana and Tracy shared some trail mix. Joanna ate 0.125 pound of trail mix, Dana ate 0.1 pound and Tracy ate 0.12 pound of trail mix. List the friends in order from least to greatest amount of trail mix eaten
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We are given the following values:
0.125 pound
0.1 pound
0.12 pound
All values start with the same number which is 0.1, therefore the 0.1 is the smallest.
Next the two values are followed by 0.12, so 0.12 is the next smaller number.
So the largest number is 0.125.
Arranging from least to greatest amount of trail mix eaten:
Dana, Tracy, Joanna
Mariana averaged 7474 on her first three history exams. the first score was 7777. the second score was 77 less than the third score. what did she score on the second and third exams
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The second score was 77 less than the third score.
So here we first want to find the total score, by multiplying 7474 by 3.
7474*3 = 22422
So the total test score was 22422.
So first subtract 7777 from 22422 to find the total score of the second and third exams.
22422 - 7777 = 14645
So the total test score of the two is 14645.
Now, since the second score was 77 less, there's a few ways to do it.
I'ma just do a random method.
Say the second score = x, and the third score = x+77.
x + x + 77 = 14645
2x = 14645 - 77
2x = 14568
/2 /2
x = 7284
So the second score was 7284.
The third is 77 more then that.
7284 + 77 = 7361
So her third exam score was 7361.
Jeremy ate p pieces of pizza. Brandon ate 5 less pieces than Jeremy. Write an expression to represent the total amount of pizza eaten by both boys.
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An expression to represent the total number of slices eaten by the boys:
[tex]p+p-5[/tex]
Hope this helps.
-Benjamin
Which two segments are a base and its associated altitude of parallelogram QRST?
A. Segment T S is the base, and segment S R is the altitude.
B. Segment Q R is the base, and segment T U is the altitude.
C. Segment T S is the base, and segment T Q is the altitude.
D. Segment Q T is the base, and segment T U is the altitude.
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Answer :- Option B is the right answer "Segment QR is the base, and segment TU is the altitude".
Explanation:-
The altitude or height of a parallelogram is the perpendicular line segment from the base to the opposite side (which may have to be extended) of the parallelogram. In the given figure, we can see that the altitude is TU=18 inches which is perpendicular to the base QR=20 inches.
Thus , option B is the correct answer. Segment QR is the base, and segment TU is the altitude.
parallel lines intersect? true or false
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Hope this helps :) Let me know if there's anything else I can help you with :)
The saginaw bay tides vary between 2 feet and 8 feet. the tide is at its lowest point when time (t) is 0 and completes a full cycle in 16 hours. what is the amplitude, period, and midline of a function that would model this periodic phenomenon? amplitude = 3 feet; period = 16 hours; midline: y = 5 amplitude = 3 feet; period = 8 hours; midline: y = 3 amplitude = 6 feet; period = 16 hours; midline: y = 5 amplitude = 6 feet; period = 8 hours; midline: y = 3
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Hope this helps (:
Answer:
Option A
amplitude = 3 feet; period = 16 hours; midline: y = 5 amplitude = 3 feet;
Step-by-step explanation:
Given that The saginaw bay tides vary between 2 feet and 8 feet.
When we correspond these to sine curve we can say minimum 2 ft max 8 ft middle value being 5 ft
Period = 16 hours (since it completes one full cycle in 16 hours_
Amplitude = maximum - middle value or middle value-minimum
=[tex]8-5 = 5-2 = 3 ft[/tex]
Thus the equation would be as[tex]y = 3sin \frac{8}{\pi}+5[/tex]
Thus we find that minimum =2, max =8 middle line y=5
Amplitude = 3 ft and period = 16
Hence option A is right.
If in one year a city recorded a total of 97 rainy, how many of the days did it not rain?
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1 year = 365 days
365 -97 = 268
it did not rain 268 days
Write a reciprocal function with asymptotes x=4 and y=-9.
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Final answer:
To write a reciprocal function with asymptotes x=4 and y=-9, the function is f(x) = -9/(x-4).
Explanation:
To write a reciprocal function with asymptotes x=4 and y=-9, we need to find the equations of the vertical and horizontal asymptotes.
For the vertical asymptote, the equation is x=4. This means that the function approaches infinity as x approaches 4 from the left or right.
For the horizontal asymptote, the equation is y=-9. This means that the function approaches -9 as x approaches infinity or negative infinity.
Therefore, the reciprocal function with these asymptotes is:
f(x) = -9/(x-4)
Final answer:
To create a reciprocal function with asymptotes x=4 and y=-9, the function can be expressed as y = 1/(x-4) - 9. This form ensures a vertical asymptote at x=4 and a horizontal asymptote at y=-9.
Explanation:
To write a reciprocal function with asymptotes x=4 and y=-9, you need to include factors that will create these asymptotes in the function's equation. A reciprocal function generally has the form y = a/(x-h) + k, where (h, k) represents the horizontal and vertical shifts to create the asymptotes x=h and y=k. In this case, we have:
y = 1/(x-4) - 9
This function has a vertical asymptote at x=4 because as x approaches 4, the denominator approaches 0 causing the function to approach infinity. The horizontal asymptote at y=-9 occurs because as x goes to infinity, the value of 1/(x-4) approaches 0, and the entire function approaches -9.
What is the y-intercept of the line represented by the equation
Y=-3x+7
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To find the y- intercept, substitute in 0 for x and solve for y.
Thus,
The y intercept is: (0, 7)
Best of luck!
how do you solve 5x^2+30x=10
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25x+30x=10
55x=10
divide both sides by 55.
x =0.1818181818 etc. ( 18 repeating)
The sum of 6 times petra's age and 8 times kathy's age is 162. kathy is 1 year more than twice as old as petra is. find each of their ages.
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Let Kathy be "K"
Based on given information, we know that 6 times Petras age (6p) plus 8 times Kathy's age (8k) equals 162.
Our first equation is 6p+8k=162
Now for the second half of the problem:
Kathy is one year older (+1) than twice Petra's age (2p)
Our second equation is k=2p+1
Now substitute the first equation back into the first equation using the value of k
6p+8(2p+1)=162
Solve for P
6p+16p+8=162
22p+8-8=162-8
22p/22=154/22
P=7
Now we substitute Petra's age (7) back into the second equation to find Kathy's age.
K=2(7)+1
Solve for k
K=14+1
K=15
To check, put both k and p values into the first equation:
6(7)+8(15)=162
42+120=162
162=162✔️
ANSWER
Petra is 7 years old
Kathy is 15 years old