Answer:
The distance between them in 2.5 min will be 320 ft
Step-by-step explanation:
Let
x--------------> Bill distance after 2.5 min------- > speed 45 ft/min
y--------------> Greg distance after 2.5 min------> speed 75 ft/min
z-------------> distance between them in 2.5 min
we Know that
z=x+y+20
Remember that
To find the distance multiply the speed by the time
so
x=45*2.5=112.5 ft
y=75*2.5=187.5 ft
therefore
z=x+y+20-----------> 112.5+187.5+20=320 ft
Final answer:
Bill and Greg's total distance apart after 2.5 minutes is 320 feet, calculated by adding their initial distance of 20 feet to the distance they covered in 2.5 minutes at their combined speed of 120 feet per minute.
Explanation:
Bill and Greg are walking away from each other with speeds of 45 and 75 feet per minute, respectively.
Since they are moving in opposite directions, their relative speed is the sum of their individual speeds, which is 45 + 75 feet per minute, or 120 feet per minute.
To find the distance between them after 2.5 minutes, we multiply their relative speed by the time elapsed. Therefore, the distance is:
Distance = Speed × Time = 120 feet/minute × 2.5 minutes = 300 feet.
We must also include the initial distance between them, which was 20 feet, so the total distance after 2.5 minutes is:
Total distance = Initial distance + Distance covered in 2.5 minutes = 20 feet + 300 feet = 320 feet.
A clock is constructed using a regular polygon with 60 sides. The polygon rotates everybody minute. How much has the polygon rotated after 7 minutes
•14 degrees
•21 degrees
•35 degrees
•42 degrees
HELP QUICK PLEASE!!!!!
A proof for the Corresponding Angles Theorem is shown below. Next to each reason, choose the statement to which it applies.
ms.black paid $32 intrest at the rate of 8% on a loan of $200. For how long was the loan?
How many sets of 7 questions can be chosen from a file of 25 questions?
What do you say when you meet a two headed dragon
In literature, when a character meets a two-headed dragon, their response may vary based on the story's context. Dragons often symbolize challenges; thus, a character may respond with caution and respect. This concept, however, is symbolic and represents various elements in different literatures.
Explanation:In literature, the response to meeting a two-headed dragon can vary greatly depending on the context of the story and the characteristics assigned to the creature. Dragons, particularly two-headed ones, often symbolize challenges or adversities. So, one way to respond practically when you meet a two-headed dragon would be with caution and respect.
For example, in fantasy literature, a protagonist might say 'Well met, noble dragon. What do you require of me?' This politeness and respect can often turn a potentially dangerous encounter into an opportunity for dialogue. Remember, in literature, fantastic creatures like headed dragons are often symbolic, representing something else entirely in the context of the story.
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Write an equation for the translation of y = 4 x that has the given asymptotes. 15. x = 0, y = 3
Verify that △ABC∼△DEF. Find the scale factor of △ABC to △DEF.
△ABC: AB = 10, BC = 16, CA = 20
△DEF: DE = 25, EF = 40, FD = 50
I really need someone to explain to me how to do this because i am so confused my teacher didn't give us notes and didn't explain this very well.
Answer:
2/3 i got it right
Step-by-step explanation:
Final answer:
To find the scale factor between △ABC and △DEF, compare their corresponding side lengths and calculate the scale factor as 2.5 or 5/2.
Explanation:
To verify that two triangles △ABC and △DEF are similar, you need to check if their corresponding angles are congruent and their corresponding sides are proportional.
Calculate the scale factor using the corresponding sides of the triangles: AB/DE = BC/EF = CA/FD.
Substitute the values: 10/25 = 16/40 = 20/50. Simplify to find the scale factor.
Therefore, the scale factor of △ABC to △DEF is 2.5 or 5/2.
The area of a rectangle is 77ft^2 , and the length of the rectangle is 3ft more than twice the width. What are the dimensions of the rectangle ?
Which algebraic expression is equivalent to the expression below? (3x + 12) + 8x
A.
(3x + 8x) + 12
B.
(3x - 8x) + 12
C.
23x
D.
(3x + 12x) + 8
help me plsss i really need did that but still dont get it
I need Geometry help!!!
factor the following polynomial completely 30y^6+25y^5-10y^4
what is the answer im so confused
Answer:
Step-by-step explanation:
their income for the month of may is $3500
2% of this income was spent on movies
2% of $3500 = 2/100 × 3500
=0.02 ×3500
= $70
Hi guys can you help me factor these two equations?
5x^2-13x-6
4x^4 – 28x^3 + 48x^2
please show your work on both of them, and thank you so much!
PLZ HELP!!!!!!! Can a kite be formed by drawing a triangle and then reflecting one or more times? Explain.
Select one:
a. Yes. Draw any triangle ABC. Reflect this triangle across the perpendicular bisector of line AB, creating triangle A'B'C' for which A'=B and B'=A. By the definition of a reflection, sides A'C and B'C' are congruent. In addition, sides B'C and A'C' are congruent. The quadrilateral CC'B'A' has two pairs of consecutive sides that are congruent and no congruent opposite sides. By definition, this is a kite.
b. Yes. Draw any triangle ABC. Reflect this triangle across the line AB, creating triangle A'B'C' for which A'=A and B'=B. By definition of a reflection, sides B'C and B'C' are congruent. In addition, sides A'C and A'C' are congruent. The quadrilateral CA'C'B' has two pairs of consecutive sides that are congruent and no congruent opposite sides. By definition, this is a kite.
c. No. Since the reflection of a triangle is always another triangle, there is no way to create a quadrilateral using a triangle or its reflection.
d. No. It is not possible to reflect a triangle in such a way that the result is quadrilateral with any consecutive sides that are congruent.
The answer is (B).
Draw any triangle ABC. Reflect this triangle across the line AB, creating triangle A'B'C' for which A'=A and B'=B. By definition of a reflection, sides B'C and B'C' are congruent. In addition, sides A'C and A'C' are congruent. The quadrilateral CA'C'B' has two pairs of consecutive sides that are congruent and no congruent opposite sides. By definition, this is a kite.
maxine hosted a dinner party at her favorite restaurant. she had to pay $12 per guest. the restaurant took $72 off the bill due to a mistake in the order. if the finale bill is $300, which equation will help the restaurant determine the number of guests at the dinner party
What is the slope of a line parallel to line B?
-1/3
2/5
5/2
5/3
Which of the following values could represent the probabilities of complementary events and 28% and 82% and 10% and 80%
1/7and2/7
2/5and3/5
Answer:
2/5 and 3/5
Step-by-step explanation:
Complementary events have probabilities that sum to 100%, or 1.
28+82 = 110; this is not 100.
10+80 = 90; this is not 100.
1/7+2/7 = 3/7; this is not 1.
2/5+3/5 = 1; this is correct.
30 POINTS!!!!! WILL MARK BRAINLIEST!
Karel and her family have just moved into a new neighborhood. Karel wants to earn money by baby-sitting for families with young children. She asked other students her age how much they charged for babysitting. The results are listed in the chart below.
LOOK AT CHART!
1. Suppose Karel wants to be the least expensive babysitter in the neighborhood. How much should she charge? This response will be graded for the correct numerical information.
2. Suppose Karel wants to charge the same hourly rate as most of the other baby-sitters. How much should she charge? This response will be graded for the correct numerical information.
3. Suppose Karel wants her hourly rate to be higher than the rate of half of other baby-sitters, but lower than the hourly rate of the rest of the babysitters. How much should she charge? This response will be graded for the correct numerical information.
4. In addition to the babysitting rates charged by others, what might Karel consider when she sets her rates? Respond in complete sentences, not only with calculations. Write as if you are verbally explaining what you are thinking.
Karel should charge $7 per hour to be the least expensive babysitter, $10 per hour to charge the same rate as most other babysitters, and $12 per hour to have a higher rate than half of the other babysitters.
Explanation:1. To be the least expensive babysitter, Karel should charge $7 per hour as it is the minimum rate.
2. To charge the same hourly rate as most other babysitters, Karel should charge $10 per hour as it is the mode or the most frequently occurring rate.
3. To have a higher rate than half of the other babysitters but lower than the rest, Karel should charge $12 per hour as it lies in the middle of the range from $7 to $15.
4. When setting her rates, Karel should consider factors like her experience, qualifications, the number of children she can handle, the neighborhood's average income, and any additional tasks she may be asked to perform.
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What is the probability of drawing a heart from a standard deck of cards on a second draw, given that a heart was drawn on the first draw and not replaced?
A) one over fifty one
B) one over fifty two
C) twelve over fifty one
D) thirteen over fifty two
Answer: C) twelve over fifty one
Step-by-step explanation:
Formula for probability =[tex]\dfrac{\text{Favorable outcomes}}{\text{Total ouctomes}}[/tex]
We know that , a standard deck has 52 cards.
Number of hearts = 13
If a heart was drawn on the first draw and not replaced, then the number of hearts left = 13-1=12 (favorable outcomes)
The total number of cards left = 52-1=51 (total outcomes)
Therefore, the probability of drawing a heart from a standard deck of cards on a second draw, given that a heart was drawn on the first draw and not replaced would be :-
[tex]\dfrac{\text{Number of hearts left}}{\text{Total cards left}}\\\\=\dfrac{12}{51}[/tex]
Hence, the correct answer is option C) twelve over fifty one
Eight more than the quotient of a number and 4 equals 5
One owl has a wingspan of 1⁄2 foot. A second owl's wingspan is 3⁄4 foot. How much longer is the wingspan of the second owl?
The wingspan of the second owl is 3 inches longer than that of the first owl.
The question asks to find out how much longer the wingspan of the second owl is compared to the first owl. The first owl has a wingspan of 1/2 foot, while the second owl has a wingspan of 3/4 foot. To find the difference in wingspan, we subtract the first owl's wingspan from the second owl's wingspan:
3/4 foot - 1/2 foot = 2/4 foot - 1/2 foot = 2/4 foot - 2/4 foot = 1/4 foot.
Since there are 12 inches in a foot, we can convert this difference to inches:
1/4 foot times 12 inches/foot = 3 inches.
How are the functions y=x and y=x+5 related? How are their graphs related?
Final answer:
The functions y=x and y=x+5 have the same slope but different y-intercepts. Their graphs are straight lines.
Explanation:
The functions y=x and y=x+5 are related in that they have the same slope of 1. This means that for every increase of 1 in the value of x, the value of y will also increase by 1. However, they have different y-intercepts. The function y=x has a y-intercept of 0, while the function y=x+5 has a y-intercept of 5.
Their graphs are related in that they are both straight lines. The graph of y=x is a line passing through the origin (0,0), while the graph of y=x+5 is a line shifted upward by 5 units compared to the graph of y=x.
What is log5(4*7)+log5^2 as a single log?
Answer with explanation:
The four options are
(A) log5 21 (B) log5 26 (C) log5 30 (D) log5 56
[tex]\rightarrow\log_{5}(4\times 7) +\log_{5}(2)\\\\ \rightarrow \log_{5}28+\log_{5}2\\\\\rightarrow \log_{5}(28 \times 2)\\\\=\log_{5}(56)\\\\ \text{Used this property of log}\\\\ \log_{m} a+\log_{m} b=\log_{m} ab[/tex]
Option D
Write an expression to show the sum of fourteen and triple eight.
A rental company charges $75 a day and 20 cents a mile for renting a truck. michael rents a truck for 2 days, and his bill came to $238. how many miles did he drive?
Answer:
440 miles.
Step-by-step explanation:
A rental company charges for rent a truck = $75 per day
and the charges per mile = 20 cents
100 cents = 1 dollar
20 cents = [tex]\frac{20}{100}[/tex]
= $0.20
Michael rents a truck for 2 days.
Let Michael drove the truck in 2 days = x miles
and his bill came to $238.
the equation will be : (75 × 2) + 0.20x = 238
150 + 0.20x = 238
0.20x = 238 - 150
0.20x = 88
x = [tex]\frac{88}{0.20}[/tex]
x = 440
Michael drove the truck 440 miles in 2 days.
what is the answer to g(r)=−5r+13
The function g(r) is a linear equation with a slope of -5 and a y-intercept of 13. You can find the value of g(r) by plugging in different values for r.
Explanation:The student's question is regarding the function g(r)=−5r+13. However, the rest of the information provided appears to be disjointed and not directly related to the function in question.
To answer their question, g(r)=−5r+13 is a linear function where -5 is the slope and 13 is the y-intercept. In this equation, r is the independent variable, and g(r) is the dependent variable. You would insert a value for r to find the corresponding output of g(r). For example, if r = 2, then g(2) = -5(2) + 13 = -10 + 13 = 3.
A rhombus exists. This rhombus has 2 diagonals. The diagonals touch the side forming angles. These angles are in the ratio 4:5. Solve for all the angles in this rhombus based on the theorems for rhombuses and parallelograms.
a. In order for ΔABC to be similar to ΔDEF, what must be true about the angles? Be specific. b. If you know that ΔABC is similar to ΔDEF, and you know that m∠A = 52° and m∠E = 65°, what is m∠C? Explain how you arrived at your answer. c. What is the difference between two figures being similar and two figures being congruent?
Answer:
If ΔABC is similar to ΔDEF, therefore; m∠A = m∠D, m∠B=m∠E, and m∠C=m∠F,
though, if m∠A= 52, m∠D=52, and if m∠E=65, then m∠B=65, though to get m∠C;
180- (52+65)
= 63 , so then, m∠C= 63
Step-by-step explanation:
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