When dividing a positive number by a negative number, the result is negative.
A better estimation would be -3.
Solution:
As the two numbers [tex]15 \frac{1}{3} {\text{and} -4\frac{2}{3}[/tex] are mixed fractions.
[tex]15 \frac{1}{3}= \frac{46}{3} \\\\ -4\frac{2}{3}= \frac{-14}{3}[/tex]
Now, [tex]\frac{ \frac{46}{3}}{\frac{-14}{3}}[/tex] = - 3
Ankur's answer= 3
The mistake he has committed , while dividing two fractions , he must have forgot that one of the fraction which is in the denominator bears negative sign before it.
So, [tex]\frac {+}{-}= -[/tex].
Ankur forgot to put negative sign before 3.
So, The correct option which describes ankur's error is : Ankur found that the quotient of a positive number and a negative number is positive.
Option 3 is right choice.
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]
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).
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
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.
Emma had some apples in her basket. Then, she picked 9 more apples. She gave 14 apples to Klara. She had 10 apples left. How many apples did Emma have in her basket to start?
To lose one pound of fat, a 200-pound person must burn 3,500 calories. If that person burns 180 calories by walking for 30 minutes, how many hours and minutes does the person have to walk to lose two pounds? Round your answer to the nearest minute. A. 53 hours 38 minutes B. 38 hours 53 minutes C. 19 hours 27 minutes D. 39 hours
For this case we have:
You lose 180 calories by walking 30min, that is:
180cal ---------> 30min
If to lose 1 pound of fat, the person should burn 3500 calories, to lose 2 pounds should burn twice the calories, that is, 7000 calories.
You want to know how long it takes to burn 7000 calories, knowing that they burn 180 in 30min. So:
180cal ---------> 30min
7000cal -------> x
Where x represents the time that must be used to burn the 7000 calories.
Resolving we have:
[tex]x = \frac{(7000cal * 30min)}{180cal}\\[/tex]
[tex]x = 1166.7min\\[/tex]
If 1h has 60min, then:
[tex]x = \frac{ (1166.7min * 1h)}{60min}\\[/tex]
[tex]x = 19.44h\\\\x = (19h + 0.44h)\\[/tex]
0.44h equals [tex]0.44 * 60min = 26.4min\\[/tex]
Thus, for the person to burn 7000 calories and lose 2 pounds, he must walk [tex]x = 19h + 26.4min[/tex].
Answer:
[tex]x = 19h + 26.4min\\[/tex]
Option C.
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
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
(5/7) ÷ (1/3) hehdhdhhdvjshshhsjshdgdhshdhhd
Three friends each have some ribbon. Carol has 90 inches of ribbon, tino has 13.5 feet of ribbon, and baxter has 1.5 yards of ribbon. Express the total length of ribbon the three friends have in inches, feet, and yards.
To find the total length of ribbon Carol, Tino, and Baxter have, first convert each length into the same unit. The total length of ribbon is 306 inches, 25.5 feet, or 8.5 yards when combining all their ribbons.
The lengths of ribbon that Carol, Tino, and Baxter have must be expressed in the same unit to find the total length. We will convert all lengths into inches, feet, and yards.
Carol's ribbon: 90 inches
Tino's ribbon: 13.5 feet × 12 inches/foot = 162 inches
Baxter's ribbon: 1.5 yards × 3 feet/yard = 4.5 feet then 4.5 feet × 12 inches/foot = 54 inches
Total Length in Inches:
90 + 162 + 54 = 306 inches
Total Length in Feet:
306 inches ÷ 12 inches/foot = 25.5 feet
Total Length in Yards:
25.5 feet ÷ 3 feet/yard = 8.5 yards
Now we have the total length of ribbon in all three units: inches, feet, and yards.
What is y greater Than or equal to 1/3x-2
Answer:
The given equation is
⇒y≥[tex]\frac{1}{3x-2}[/tex]
As domain of the function is 3 x-2≠0
x≠2/3
⇒For different values of x we get different values of y.
When, x>2/3 , we get positive values of y.
So , y≥ 0
and when x< 2/3 , we get values of y which are negative.
i.e y≤0
At x=2/3, function is not defined.So at that point there does not exist any value of y.
Solve the following multiplication problems.
a. 9 kg 3 hg 1 cg × 9 =
b. 11 dg 4 cg × 12 =
c. 10 g 5 dg × 6 =
d. 5 g 3 dg 4 cg × 8 =
a.9 kg 3hg 1cg x 9 =243^3hc
b. 11dg 4cg x 12=528dg^2c
c. 10g 5dg x 6= 300g^2
d. 480g^3dc
-i hope this helps
Answer:
a. 8370009 cg
b. 1368 cg
c. 630 dg
d. 4272 cg
Step-by-step explanation:
Since, 1 kg = 100000 cg,
1 hg = 10,000 cg,
1 dg = 10 cg,
1 g = 10 dg,
1 g = 100 cg,
a. So, 9kg 3hg 1cg × 9 = (900000+30000+1) × 9 = 930001 × 9 = 8370009 cg,
b. 11dg 4cg × 12 = (110 + 4) × 12 = 114 × 12 = 1368 cg,
c. 10g 5dg × 6 = ( 100 + 5 ) × 6 = 105 × 6 = 630 dg,
d. 5g 3dg 4cg × 8 = ( 500 + 30 + 4) × 8 = 534 × 8 = 4272 cg
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:
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
Find the y-intercept of the line below.
Show work
3x - 7y + 2 = 0
a) -7
b) 2/7
c) -2/7
d) 2
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
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!! ♥~
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
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
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]
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
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!
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}
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.
HELP ME I NEED TO ANSWER THIS BEFORE OCTOBER 26!!
For each table, identify the independent and dependent variables. Represent the relationship using words, an equation, and a graph.
Number of Chairs Painted, p | Paint Left (oz), L
0 | 128
1 | 98
2 | 68
3 | 38
Number of Snacks Purchases,s | Total Cost ,C
0 | $18
1 | $21
2 | $24
3 | $27
Number of Flights of Stairs Climbed,n| 0 | 1 | 2| 3 |
Elevation(ft above sea level),E |311|326|341|256|
Please Help Me
&
Thank You
ANSWER TO QUESTION 7
Independent Variable: Number of Chairs Painted(p)
Dependent Variable: Paint Left(L)
To represent the relationship using a graph, we draw two perpendicular axis, wth Number of Chairs Painted(p) on the horizontal axis, and Paint Left(L) on the vertical axis.
Then we plot the points
[tex](0,\:\:128)[/tex], [tex](1,\:\:98)[/tex], [tex](2,\:\:68)[/tex], [tex](3,\:\:38)[/tex].
Using a straight edge, we draw a straight line through the points as shown in the diagram attached.
From the graph the slope is given by
[tex]Slope=\frac{60}{-2}=-30[/tex]
and the y-intercept is
[tex]c=128[/tex]
The equation is given by
[tex]L=mp +c[/tex]
That is
[tex]L=-30p +128[/tex]
In words, Paint level is reducing at a rate of [tex]30[/tex]oz
ANSWER TO QUESTION 8
Independent Variable: Number of snacks purchased(s)
Dependent Variable: Total Cost(c)
To represent the relationship using a graph, we draw two perpendicular axis, with Number of snacks purchased(s) on the horizontal axis, and Total Cost(c) on the vertical axis.
Then we plot the points
[tex](0,\:\:18)[/tex], [tex](1,\:\:21)[/tex], [tex](2,\:\:24)[/tex], [tex](3,\:\:27)[/tex].
Using a straight edge, we draw a straight line through the points as shown in the diagram attached.
From the graph the slope is given by
[tex]Slope=\frac{3}{1}=3[/tex]
and the y-intercept is
[tex]c=18[/tex]
The equation is given by
[tex]C(s)=ms +c[/tex]
That is
[tex]C(s)=3s +18[/tex]
In words, the Total cost increases is reducing at a unit rate of [tex]3[/tex]
ANSWER TO QUESTION 9
Independent Variable: Number of flight of stairs climbed(n)
Dependent Variable:Elevation (ft above sea level),E
To represent the relationship using a graph, we draw two perpendicular axis, with Number of flight of stairs climbed(n) on the horizontal axis, and Elevation (ft above sea level),(E) on the vertical axis.
Then we plot the points
[tex](0,\:\:311)[/tex], [tex](1,\:\:326)[/tex], [tex](2,\:\:341)[/tex], [tex](3,\:\:356)[/tex].
Using a straight edge, we draw a straight line through the points as shown in the diagram attached.
From the graph the slope is given by
[tex]Slope=\frac{15}{1}=15[/tex]
and the y-intercept is
[tex]c=311[/tex]
The equation is given by
[tex]E(n)=mn +c[/tex]
That is
[tex]E(n)=15n +311[/tex]
In words, the unit rate of rising above sea level is [tex]15[/tex]
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)
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.
Can someone work out bomdas for me 32-7×4+42÷6×3
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