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Alex was biking along a 48 mile trail. First half of the time he was biking twice as fast as the second half of the time. If he spent 4 hours on the road, how fast was he biking at first?
Answer:
The speed in the first part is 16 mph.
Step by step explanation:
The total distance is 48 miles. The total time is 4 hours.
In the second part of the trip, he was traveling at speed s for distance d for 2 hours.
In the first part of the trip he was traveling
at twice the speed, or 2s, for distance 48 - d, for 2 hours.
speed = distance/time
distance = speed * time
First part of trip:
48 - d = 2s * 2
d + 4s = 48 Equation 1
Second part of the trip:
d = s * 2
d = 2s =
Equation 2
Equations 1 and 2 form a system of equations in two unknowns, d and s.
d + 4s = 48
d = 2s
Substitute 2s for d in equation 1.
2s + 4s = 48
6s = 48 =
s=8
The speed in the second part is 8 mph.
The speed in the first part is 2s = 2(8) =
16.
The speed in the first part is 16 mph.
Check:
d = 2s = 2(8) = 16
48 - d = 48 - 16 = 32
The second part is 16 miles. The first part is 32 miles.
16 miles at 8 mph takes 2 hours.
32 miles at 16 mph takes 2 hours.
2 hours + 2 hours = 4 hours.
Our answer is correct.
Answer: The speed in the first part is 16 mph.
Find the distance, midpoint, and slope of line AB (-2,-1) and B(6,3)
Answer:
The correct answer is (2,1)
Step-by-step explanation:
The distance, midpoint, and slope are 4√5 , (2 , 1) , 1/2 respectively.
What are the distance, midpoint, and slope between two points?For any two points A( x₁ , y₁ ) B( x₂, y₂) the distance, midpoint, and slope are given by: 1) [tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
2) M(x , y) = { (x₁ + x₂)/2 , (y₁ + y₂)/2 }
3) m= y₂ - y₁ / x₂ - x₁
Given here the points A(-2,-1) and B(6,3)
substituting the values we get,
1) [tex]d = \sqrt {\left( {-2- 6} \right)^2 + \left( {-1 - 3} \right)^2 }[/tex]
[tex]d = \sqrt {\left( {8 } \right)^2 + \left( {4 } \right)^2 }[/tex]
[tex]d = \sqrt {\left( 80{ \right)^ }[/tex]
[tex]d =4\sqrt {\left5 }[/tex]
2) M(x , y) = { (-2 + 6)/2 , (-1 + 3)/2 }
= (2 , 1)
3) m = { (6 - (-2) / (3 - (-1)) }
= 1/2
Hence, distance, midpoint, and slope are 4√5 , (2 , 1) , 1/2 respectively.
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amber must make up a vocabulary quiz. she can take it during her lunch or after school on wednesday, thursday, or friday. The tree diagram shows the possible combination of the times she can make up the quiz
Answer:
6
Step-by-step explanation:
HELP!! (Picture included)
Answer:
Wednesday
Step-by-step explanation:
Monday- ~5.6 as a decimal
Tuesday- 5.625 as a decimal
Wednesday- 5.375 as a decimal
Thursday- 5.8 as a decimal
therefore, Mrs.Mayes worked the least on Wednesday. Also she needs some break
Answer:
Wednesday
Step-by-step explanation:
For each of the fractions you can put them into decimals. Wednesday had the lowest decimal at 5.37
What is the solution set to this inequality?
x? - 12x+ 273-8
a
{x|x 3 or x 9)
{x|5SXS7)
{x|x S5 orx27)
{x|3 SXS9)
The number of students that enrolled in a new school club as a function of time can be represented by the function as shown in the graph.
What is the average rate of change in the number of students that enrolled between hours 1 and 2?
Answer:
I think it is 1 student per 15 min
Step-by-step explanation:
Which complex number will be located above the real axis and to the left of the imaginary axis?
A.
4i
B.
2 − 4i
C.
4i − 1
D.
-1 − 2i
Answer:
Yo dum//b butt
Step-by-step explanation:
i added u on snap cause i got a trap phone hehe so please add me backkkkkkkkk thhhhhhaaaaaaaaaaaaaaankkkkkkkkkkkkksssssssssssss
Which of the following is equal to the square root of the cube root of 6 ? (1 point)
Select one:
a. 6 to the power of 1 over 6
b. 6 to the power of 1 over 3
c. 6 to the power of 2 over 3
d. 6 to the power of 3 over 2
Answer:
b
Step-by-step explanation:
Why do parallel lines never cross?
Answers Are
Answer:
C. Because they have the same slopes and different y-intercepts
Step-by-step explanation:
Answer:
Your answer would be the 3rd one.
Because they have the same slopes and different y-intercepts.
I hope that this is the answer you were looking for!
Have a great day!
help me please help
Answer:
D.) Not enough information
Step-by-step explanation:
The marks are the same, but they aren't placed in the same position in the triangles.
Here is a riddle: “I am thinking of two numbers that add up to 5.678. The difference between them is 9.876. What are the two numbers?”
The riddle can be represented with two equations. Write the equations
Answer:
X + Y = 5.678
X - Y = 9.876
The two numbers: X = 7.777 Y = -2.099
Step-by-step explanation: solve by elimination
X + Y = 5.678
X - Y = 9.876 . Add the two equations so the y cancels. Solve for x
2x = 15.554 . Divide both sides by 2
X = 7.777 Substitute in the original equations to find Y
7.777 + y = 5.678 . Subtract 7.777 from both sides
Y = - 2.099
check in the second equation:
7.777 -(-2.099) = 9.876
7.777 + 2.099 = 9.876 True
The two numbers is X = 7.777 and Y = -2.099.
And, the two equation is X + Y = 5.678 and X - Y = 9.876.
Given that,
I am thinking of two numbers that add up to 5.678. The difference between them is 9.876.Here we assume the one number be X and the other number be Y.
Based on the above information, the calculation is as follows:
X + Y = 5.678
X - Y = 9.876
2x = 15.554
X = 7.777
Now
7.777 + Y = 5.678
Y = - 2.099
Therefore, the above should be the answers.
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what is 130203 in cryptology
Answer:
idek
Step-by-step explanation:
idek
sdjdjdkkdeieoeoeoeoeeo
Please help me........
Answer:
70
Step-by-step explanation:
180 minus 40 divided by 2
Allen has a 75 yard spool of yarn. He needs to cut the spool of yarn into 6 1/4
yard pieces of yarn.
How many 6 1/4
yard pieces of yarn can Allen create from the 75 yard spool of yarn?
A. 6 pieces
B. 12 pieces
C. 20 pieces
D. 36 pieces
Answer:
B. 12 pieces
Step-by-step explanation:
75 / 6 1/4 or 75 / 6.25 = 12
Answer:
b (12)
Step-by-step explanation:
Part A: Enter values for the ratio of
y
for the equation y = 2x.
2
х
Y
y
Value of
C
__1
-2
1
2
2
4
Y
Part B: Enter values for the ratio of for the equation y= 2x + 2.
A business held a job fair for prospective employees. The number of women attending was 10 more than three times the number of men attending. A total of 180 people attended the meeting. Which system of equations could be used to find w, the number of women, and m, the number of men, at this meeting?
1. w = m + 10
w + m = 180
2. w = m + 10, , w + m = 180,
3w + m = 10
3. w + m = 180
3w + m = 10, , w + m = 180,
4. w = 3m + 10
w + m = 180
Answer:
Step-by-step explanation:
Option 4 is the correct answer
Which equations represent the phrase “y is two less than half of a number “?
Answer:
C and A
Step-by-step explanation:
What is 16 x 2? This is a random question! I want to give away points so be quickkkkk!
Choose
A) 31
B) 34
C) 32
D) chicken wing
Answer: C.)32 Bestieeeee
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
There are 123 goldfish in the tank. Goldfish like to swim 12 fish to a family. If 6 of the goldfish died before forming families, how many FULL families will be formed?
Answer:
Formed will be i think 9, but im not sure.
Work out
86
% of
570
kg
Answer:
The answer would be 490.2 kg because when you're finding the percent of a certain number, you can multiply the number with the percentage. When converting the percentage, you have to move the decimal point 2 times to the left.
Answer:
490.02kg
Step-by-step explanation:
In short-
86%= 86/100
"of" in maths is basically "multiply"
therefore,
86/100 * 570=x
0.86*570=x
x=490.02
What is the slope of the line with point (3,-5) and (-7,10)?
Answer:
-3/2
Step-by-step explanation:
10 -(-5)/-7-3
15/-10
-3/2
Refer to the table to answer the questions.
A 2-column table with 4 rows. Column 1 is labeled Decimal with entries A, B, C, D. Column 2 is labeled Fraction with entries one-half, five-ninths, StartFraction 5 over 90 EndFraction, StartFraction 11 over 20 EndFraction.
Which letter should be replaced with the repeating decimal 0.5?
A
B
C
D
Answer:
d
Step-by-step explanation:
d should be kept with it
Answer:
The correct answer is the letter D. :)
Step-by-step explanation:
16. What is the sum of 8x2 +12 - y2
and x2 - 13+8xy?
Answer:
9x2-y2 + 8xy -1
Step-by-step explanation:
9x2 -1 - y2 +8xy
9x2-y2 + 8xy -1
The sum of these two given quadratic function is (9x² - y² + 8xy - 1).
What is a quadratic function?A quadratic function is a function that has a variable with the highest power of the variable is 2.
A quadratic function may contain more than one variable. However, the highest degree of any variable must be 2.
Given, two function are 8x² + 12 - y² and x² - 13 + 8xy.
Therefore, the sum of these two given function are:
(8x² + 12 - y²) + (x² - 13 + 8xy)
= 8x² + x² - y² + 8xy +12 - 13
= 9x² - y² + 8xy - 1
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PLEASE HELP Tony received a $45.25 gift card for a photo center. He used it to buy prints that cost 5 cents each. The remaining balance, B in dollars), on the card after buying x prints is given by the following function. B (x)=45.25 -0.05x What is the remaining balance on the card if Tony bought 50 prints?
Answer:You have too add $45.25 by 5 and divided the answer you got from adding the $45.25
Step-by-step explanation:
Hope this helps!
What is unit rate of 9 cups and 3 batches
Answer:
3 cups per batch
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
What is 9 divided by 3.... 3 ok so that is your answer. Hope this helped you!! Give brainliest..
PLEASE ANSWER I WILL GIVE BRAINLIEST
Answer:
24/32
Step-by-step explanation:
just multiply the bottom number until 32 the as much times you multiplie the denominator that how much times you multiplie the numerator
Answer:
6:8 = 24:32
Step-by-step explanation:
Refer to the circles to complete the following item.
Does AI = LD?
yes
no
Answer:
i believe it’s no. sorry if i’m wrong!
Step-by-step explanation:
What is the solution to
2x + 8 < 3x - 4?
A) X < 12
B) X > 12/5
C) X > 12
D) X < 12/5
Answer:
A
Step-by-step explanation:
Answer:
The answer is choices C.
Step-by-step explanation:
Let's solve your inequality step-by-step.
2x+8<3x−4
Step 1: Subtract 3x from both sides.
2x+8−3x<3x−4−3x
−x+8<−4
Step 2: Subtract 8 from both sides.
−x+8−8<−4−8
−x<−12
Step 3: Divide both sides by -1.
−x/-1<−12/-1
x>12
m−2 over 4 =5 over 20
Help ASAP if you want points and brainliest answer all of them
Answer:
5. D
3. B
2. C
4. miles per hour 2 1/8, hours per mile 8/17