Answer:
Sali's speed was 18.75 km/h.
Step-by-step explanation:
Jane took 3.5 hours to cycle the 63 km.
As, [tex]Speed= \frac{Distance}{Time}[/tex] , so the speed of Jane will be: [tex]\frac{63}{3.5} km/h = 18 km/h[/tex]
Suppose, the speed of Sali is [tex]x[/tex] km/h
Sali caught up with Jane when they had both cycled 30 km.
So, the time required for Jane to cycle 30 km [tex]= \frac{30}{18}=\frac{5}{3} hours[/tex] and the time required for Sali to cycle 30 km [tex]=\frac{30}{x} hours[/tex]
Given that, Sali started to cycle 4 minutes or [tex](\frac{4}{60}) or (\frac{1}{15}) hours[/tex] after Jane started to cycle. So, the equation will be.......
[tex]\frac{5}{3}-\frac{30}{x}= \frac{1}{15}\\ \\ \frac{30}{x}= \frac{5}{3}-\frac{1}{15}\\ \\ \frac{30}{x}= \frac{24}{15}\\ \\ 24x=450\\ \\ x= \frac{450}{24}= 18.75[/tex]
Thus, the speed of Sali was 18.75 km/h.
Answer:Thus, the speed of Sali was 18.75 km/h.
Step-by-step explanation:
Sali's speed was 18.75 km/h.
What is the domain of the function represented by the mapping diagram below?
Answer:
Option C
{-1,3,5}
Step-by-step explanation:
A mapping is a subset of ordered pair (x,y) where x belongs to first set and y belongs to second set.
Hence a mapping is a subset of cartesian product AXB.
Here A = {-2,1,3,5} and
B = {2,4,6,8}
Ordered pair given by the mapping is
(-2,1) (3,6) and (5,8)
In other words, -2 is mapped on to 1, 3 to 6 and 5 to 8
Domain = set of elements in the I set which are mapped
= {-1,3,5}
Give an example of a real world situation for which there could be a positive correlation
A car uses 7litres of pétrole to coker 28km . How many litres of pétrole does hé use to coker 64km
28/7=4km is car journey covered by car in 1l
64/4=16l
The car would use 16 liters of petrol to cover 64 km.
Explanation:To find out how many liters of petrol the car uses to cover 64 km, we can set up a proportion using the given information. Since the car uses 7 liters of petrol to cover 28 km, we can say that the fuel consumption rate is 7 liters per 28 km. To find out the fuel consumption rate for 64 km, we can set up the proportion:
7 liters / 28 km = x liters / 64 km
Cross-multiplying, we get 28x = 7 * 64.
Dividing both sides by 28, we get x = 7 * 64 / 28 = 16 liters. Therefore, the car would use 16 liters of petrol to cover 64 km.
Learn more about fuel consumption rate here:https://brainly.com/question/28809733
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The moon was about 240,000 miles from earth. What is the distance written as a whole number by a power of ten?
This answer is
[tex]24 * 10^4[/tex]
Explanation:In power of ten notation, exponent tells us that how many times 10 is to be multiplied by itself to equal the number we wish to write. So we can write the above scenario as follows:
[tex]240,000 * 10^0[/tex]
[tex]240, 00 * 10^1[/tex]
[tex]240, 0 * 10^2[/tex]
[tex]240 * 10^3[/tex]
[tex]24 * 10^4[/tex]
So, the 10 will be multiply 4 times with 24 to get the same answer as 240,000
The answer is [tex]24 * 10^4[/tex]
What are the first four terms of the sequence shown below?
an = n^3 + ^2
A.
1, 2, 3, 4
B.
1, 12, 15, 20
C.
2, 12, 36, 80
D.
5, 10, 15, 18
[tex]a_{n} = n^{3} + n^{2}[/tex]
[tex]a_{1} = 1^{3} + 1^{2}[/tex]
= 1 + 1
= 2
[tex]a_{2} = 2^{3} + 2^{2}[/tex]
= 8 + 4
= 12
[tex]a_{3} = 3^{3} + 3^{2}[/tex]
= 27 + 9
= 36
[tex]a_{4} = 4^{3} + 4^{2}[/tex]
= 64 + 16
= 80
Answer: C
What are the end behavior and the possible discontinuity of
2x+4/x^2-1?
So, The discontinuity would be at 1, since plugging in one for x would yield a zero in the denominator (It would be a non-removable one).
End Behavior: [tex]\lim_{x \to \infty} f_x = 0 \\\\ \lim_{x \to -\infty} f_x = 0[/tex]
(Zero is a the horizontal asymptope)
How do I solve this
You start from right to left, the third number is always the hundred place, the second number (6 in your case) is the tens place, and 5 is in the ones place. So your correct answer is 3 or B
What is x^2-12x+36 in factored form?
For this case we must factor the following expression:
[tex]x ^ 2-12x + 36[/tex]
We must find two numbers that when multiplied give as a result "36" and when added together they give "-12". These numbers are:
[tex]-6-6 = -12\\-6 * -6 = 36[/tex]
Then, the factorization is given by:
[tex](x-6) (x-6) = (x-6) ^ 2[/tex]
Answer:
[tex](x-6) ^ 2[/tex]
Option A
What’s three fractions that are equivalent to 4/7
[tex]\frac{4}{7} (\frac{2}{2} ) = \frac{8}{14}[/tex]
[tex]\frac{4}{7} (\frac{3}{3} ) = \frac{12}{21}[/tex]
[tex]\frac{4}{7} (\frac{4}{4} ) = \frac{16}{28}[/tex]
8/14.
12/21
16/28
Is this what you’re looking for
The question is in the picture.
varies directly means [tex]\frac{y}{x} = k[/tex]
inserting y = -18 and x = 3 ⇒ [tex]\frac{-18}{3} = k[/tex] ⇒ -6 = k
next, insert k = -6 into the varies directly equation and solve for y. y = -6x
Answer: C
Find the y-intercept of the line below.
Show work
3x - 7y + 2 = 0
a) -7
b) 2/7
c) -2/7
d) 2
I have 5 digits my nine is worth 9 x 10000 my two it's worth 2001 of my sevens is worth 70 the other is worth 10 times as much my other digit is at 6 what number am i
The number is = 92776
Explanation:
my nine is worth 9 x 10000 , this gives-
[tex]9\times10000=90000[/tex]
my two it's worth 2001 =2 (thousandth place)
sevens is worth 70(tens place) the other is worth 10 times (hundredth place) = 77
my other digit is at 6 =6
Hence, 92776
a group of college students was surveyed to see how old they were when they had their first job. the results were as follows:15% were 14 years old;50% were 15 years old; 20% were 16 years old; and 15% were 17 years old. which of the following is the mode or modes for the data set?
A.15
B.15.5
C.14&17
D.50
The answer would be... B
Answer: A.15
Step-by-step explanation:
We know that the mode of a data set is a data value that occurs most of the time than the rest other values.
Given : A group of college students was surveyed to see how old they were when they had their first job.
The results were as follows:
:15% were 14 years old;
50% were 15 years old;
20% were 16 years old;
15% were 17 years old.
We can that the highest percentage (i.e. 50% ) is of 15 years old students.
It means that the mode of the data set is 15 .
Hence, the correct answer is option (A).
Which angle corresponds to <7?
A.<1 B.<3 C.<4 D.<6
Hello there! Thank you for asking your question here on brainly.
Answer: C. <3
Why?
We have 4 angles on each side. We have two sets of angles, so we have 8 angles. To tell how angles correspond, find where they are on the other side. Example, in this, the (2) on the top set of angles it on the top right. To find which one corresponds to the second one, look at the top right of the second set. 6 would be the answer to that. The (3) in this is on the bottom left on the first set, and the 7 on the second set is in the same place, the bottom left.
Hope this helped, and have an amazing day!! ♥~
Kevin has $1,427 in a savings account his brother Haley has saved an amount with a 4 that is 1/10 the value of the 4 in Kevin's savings account. How much could Harley have In his savings account?
Answer:
77.5
Step-by-step explanation:
in this excercise the average is 4 months (January, Febuary, March, April)
the average rate is:
[tex]\frac{1450-1140}{4} =\frac{310}{4} = 77.5[/tex]
The AP Calculus exam scores were released in July. The Secondary Math Specialist prepared the box plot shown to present the scores to the superintendent. What's the range of scores that represents the middle 50 percent of the students who took the test?
A. 65%–94%
B. 65%–89%
C. 81%–89%
D. 65%–81%
Answer:
a
Step-by-step explanation:
If the ratio of silver nail paints to golden paints is 4 to 2 and there are total 60 nail paints, how many of them are golden?
20,
So, there are 6 total parts,
X = 60/6
Each X = 10
So, 10*2 = 20
20 of them are golden.
To determine the number of golden nail paints, the total nail paints (60) are divided by the sum of the ratio parts (3), resulting in 20 nail paints per part. Multiplying the part for golden paints (1) by 20 gives us 20 golden nail paints.
The ratio of silver nail paints to golden paints is given as 4 to 2, which simplifies to a ratio of 2 to 1. This means that for every 2 silver nail paints, there is 1 golden nail paint. If there are a total of 60 nail paints, we need to determine how many of them are golden. To find out, we divide the total number of nail paints by the sum of the ratio parts (2 + 1 = 3 parts). Hence, each part represents 20 nail paints (60 ÷ 3).
To calculate the number of golden nail paints, we then multiply the number of parts for golden paints (which is 1 part) by the nail paints per part, so we get 20 x 1 = 20 golden nail paints.
what integer is equivalent to 9 3/2
9 and 3/2 as an integer is 10.5
If you're looking for the integer of 9 3/2, it'd be 10.5!
I hope this helped!
please show me how to solve this equation step by step!
1/25(20-t)=4/25t-3/5
Remark
Multiply both sides of the equation by 25. Then you have an equation that you have already done probably.
Step One
Multiply both sides of the equation by 25
1 * (20 - t) = 4t - (3/5) * 25 Every part of the equation must be multiplied by 25
(20 - t) = 4t - 75/5 3*25/5 = 75/5
20 - t = 4t - 15 Add t to both sides
20 - t + t =4t + t - 15 Combine like terms
20 = 5t - 15 Add 15 to both sides
20 + 15 = 5t - 15 + 15 Combine like terms
35 = 5t Divide by 5
35/5 = 5t/5 Switch sides
t = 7 Answer
(5/7) ÷ (1/3) hehdhdhhdvjshshhsjshdgdhshdhhd
Ryan spent $26.33 on 8 gallons of gas how much would he spend for 20 gallons
First divide 26.33 with 8 to find the cost per gallon
26.33/8 = ~3.29 (rounded).
Each gallon of gas costs $3.29
Next, multiply the cost per gallon with the amount of gallons, 20 in this case.
20 x 3.29 = 65.80
$65.80 is your answer
~Rise Above the Ordinary
The length of a rectangular soccer field is 40 feet more than twice the width of the field. Complete an equation for the area of the field, where w is the width of the field.
A=_____w^2 +_____w
Answer with explanation:
Width of the field = w feet
As, given length of rectangular field is 40 feet more than twice the width.
Length of Soccer field = (2 w + 40) feet
Area of Rectangular field = Length × Breadth
= w × (2 w+40) square feet
A =2 w² +40 w
First Blank =2
Second Blank = 40
5. Draw the number line graph of -3.
6. What does |-9| equal?
7. Solve the equation y – 11 = -4.
8. Evaluate the expression a + b when a = 2.5 and b = -10.8.
9. Draw the number line graph of 0.4.
10. Insert < or > to make this statement true: -1.8 -2.5
Answer:
9, 7,-8.3,>
Step-by-step explanation:
5)-3 is marked exactly 3 units to the left of origin 0.
(since negative sign we mark on left of 0)
6) |-9| = absolute value of 9 = 9
7) y-11=-4
Add 11 to both the sides
WE get y =7 is the solution
8) a + b when a = 2.5 and b = -10.8.
= 2.5+(-10.8) = -(10.8-2.5) = -8.3
9) 0.4 is positive hence lies to the right of origin.
Partition the space between 0 and 1 into 10 equal subparts and mark 4th subdivision to get 0.4
10) -1.8>-2.5
Lisa's penny bank is
7
10
full. After she removes
240
pennies, it is
1
2
full. How many pennies can Lisa's bank hold?
50 yards of tape is needed to pack and ship 100 packages. You have a roll of tape that is 2000 inches long. About how many yards do you have? A) 28 yards B) 50 yards C) 56 yards D) 67 yards
Find out how many feet are in a yard.
3 feet = 1 yard
Find out how many inches are in a yard
3×12=36
Find out how many yards are in 2000 inches.
2000÷36=55.5
55.5 ≈ 56
The answer would be C) 56 yards
Given m∠D = 70°, m∠E = 42, and m∠EHG = 68°, prove DF is parallel to GH.
we know that
If DF is parallel to GH
then
the measure of the angle EGH must be equal to 70° by corresponding angles
so
Find the measure of the angle EGH
In the triangle EGH
the sum of the internal angles must be equal to 180 degrees
42°+68°+∠EGH=180°
solve for ∠EGH
∠EGH=180-(42+68)
∠EGH=180-110
∠EGH=70°
therefore
The lines DF and GH are parallel
If you are traveling at a speed of 50 miles per hour, how many feet per second is this?
A handy conversion to remember is that 60 mph equals 88 feet per second.
Therefore, 50 mph will be (5/6) of 88 feet per second or 73.3333333333 feet per second.
Are the Trianfle similar?
If they are, identify the similarity ratio.
Yes; the similarity ratio is 3:4.
No; the triangles are not similar.
Yes; the similarity ratio is 1:2.
Yes; the similarity ratio is 5:6.
Answer:
It is yes the similarity ratio is 3:4.
Step-by-step explanation:
Answer:
Option 2 is correct that is NO ; The triangles are not similar.
Step-by-step explanation:
Given: Measurements of the sides of triangle.
Say sides of triangle 1 = 3 , 5 , 6
Sides of triangle 2 = 4 , 6 , 8
We have to find if triangles are similar or not and if they are similar then to find their ratio.
Since, We are given with only sides of the triangle.
Then if they are similar then they will be by Side-Side-Side similarity criteria.
Here, Two triangles are said to be similar by Side-Side-Side Criteria if ratio of their sides are equal.
But clearly from given values , all ratios are not equal.
[tex]\frac{3}{4}=\frac{6}{8}\neq\frac{5}{6}[/tex]
Or
[tex]\frac{3}{6}\neq\frac{5}{8}\neq\frac{6}{4}[/tex]
No possible pair give equal ratio.
Therefore, Option 2 is correct that is NO ; The triangles are not similar.
78.2% of the students study more that one day for the chapter test. Find the probability that a randomly selected student did not study more than one day for the test.
A. 0.218
B. 0.782
C. 0.328
D. 0.391
78.2% means that out of 100, 78.2 DO study. 100-78.2 gives you the amount of students that dont study (including me lol) which comes out to 21.8 . so since 21.8 out of 100 dont study, you can divide 21.8/100, and get your answer.
the answer is a
HELPPPPPPPPP
On which intervals is the function increasing?
Indicate intervals on the x-axis using the Ray tool for intervals that extend to infinity and the Segment tool for bounded intervals.
Graph a ray by selecting the endpoint followed by a point on the ray. Graph a segment by selecting an endpoint followed by the other endpoint.
Answer:
Refer below
Step-by-step explanation:
A function is said to be increasing if y increases whenever x increases and y decreases whenever x decreases.
A function is decreasing if y increases when x decreases or vice versa.
Hence from the graph we find that when the curve is going up when we move to right the function is increasing otherwise decreasing.
f(x) attains its extreme values at x = -8, -3, 2 and 6
Left of -8 we find f(x) is increasing.
ie.(-infty, -8) increases, (-8,-3)decreases, (-3,2) increases, (2,6) decreases and (6,infty) increases
To consolidate increasing in (-infty, -8)U(-3,2)U(6,infty)
and decreses in (-8,-3)U(2,6)