Answer:
Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.
Step-by-step explanation:
A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?
Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.
Solution:
The table is:
No. of hops Distance traveled
20 30
50 75
80 120
150 ?
From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet
Find the slope of the line:
m = (y2-y1) / (x2-x1)
m=slope of the line
y2-y1 = change in distance travelled
x-2 - x1 = Change in number of hops
m = (y2-y1) / (x2-x1)
m = (75-30) / (50-20)
=45 / 30
m = 1.5
Then, the line is:
y = 1.5x
We substitute x = 150
y = 1.5x
y = 1.5 × 150
y = 225
Find the smallest number that is exactly divisible by 5,15
and 25.
Step-by-step explanation:
Find the LCM
5, 15, 25
Factorize of the above numbers :
Factorize of the above numbers : 5 = 5
Factorize of the above numbers : 5 = 5 15 = 3 • 5
Factorize of the above numbers : 5 = 5 15 = 3 • 5 25 = 5²
LCM = 3 • 5² = 75A linear function is defined by the equation 3x - 2y = 6
what is the x and y intercept
Answer:
X intercept = (2,0)
Y intercept = (0,-3)
Step-by-step explanation:
To find x intercept make y into 0
3(x) - 2(0) =6
3x = 6
x = 2
X intercept = (2,0)
Y intercept do the same
Y intercept make x into 0
3(0) - 2(y) =6
-2y = 6
y = -3
Y intercept = (0,-3)
Answer:
x -intercept is at (2, 0).
y -intercept is at (0, -3).
Step-by-step explanation:
x intercept is found when y = 0:
3x - 2(0) = 6
3x = 6
x = 2.
x intercept is found when x = 0:
3(0) - 2y = 6
-2y = 6
y = -3.
Please help!! Use the imaginary number I to rewrite the equation.
Answer:
poooooooooooooooop mark me as brainliest and thank me and rate me 5 because im white
Step-by-step explanation:
The sum of 2 consecutive whole numbers is 206. What are the 2 numbers
Answer:
102.5, 103.5
Step-by-step explanation:
a+a+1=206
2a+1=206
2a=205
a=102.5
103.5
I think there is a bug here. They can't be whole numbers.
Answer:
There are no two consecutive whole numbers that sum to 206 (See proof below)
Step-by-step explanation:
let the first number be x
since the numbers are whole and consecutive, the second number must be (x + 1)
we are given that the number sum to 206
hence,
x + (x+1) = 206
x + x + 1 = 206
2x + 1 = 206 (subtract 1 from both sides)
2x = 206 - 1
2x = 205 (divide both sides by 2)
x = 205/2 = 102.5 (NOT A WHOLE NUMBER)
if x = 102.5, then the second number must be
x + 1 = 102.5 + 1 + 103.5 (ALSO NOT A WHOLE NUMBER)
Sec105
Cot150
Tan150
Sin135
Cos135
Cosec105
Answer:
Sec 105= -√6-√2
Cot 150= -√3
Tan 150= -√3/3
Sin 135= √2/2
Cos 135= -√2/2
Cosec 105= √6-√2
Guang and Orion are doing an experiment in school for which they need to measure the density of a bacteria population after a certain solution has been introduced. Guang reports a density of 450045004500 bacteria per square centimeter and Orion reports a density of 505050 bacteria per square millimeter.
Answer:
Orion reports a higher density than Guang.
Step-by-step explanation:
Khan said it was right.
Answer: Orion or number 2
Step-by-step explanation:
khan is always correct
(b) String P is 3.8 m long. The length of String Q is 135% of the length of String P and
95% of the length of String R. Find the length of String R.
Answer:
Hey there!
String P is 3.8 m long.
String Q is 3.8(1.35), or 5.13 m long.
String R is 3.8(0.95), or 3.61 m long.
Let me know if this helps :)
What type of graph would you use to compare the number of books at each price? In two or more sentences, explain your choice.
bar graph
line graph
scatter plot
histogram
box-and-whisker plot
Answer:
I would use a bar graph so the bottom of the graph could be the number of books, and the left could be the price. the higher the bar is, the higher the price. It is easy to compare heights of the bars from just looking at the graph.
Answer:
Does anyone know if this is correct please help
Step-by-step explanation:
whar is the LCM of 1/6 and 3/8
==========================================
There are 3 methods to find the lowest common multiple (LCM)
---------------------------
Method 1
List out the multiples of 6 and 8
multiples of 6 = {6, 12, 18, 24, 30, 36, 42, 48, ...}
multiples of 8 = {8, 16, 24, 32, 40, 48, ...}
We see that 24 is the smallest number in both sets at the same time. So this is the LCM.
---------------------------
Method 2
Write the prime factorization of 6 and 8
prime factorization of 6 = 2*3
prime factorization of 8 = 2*2*2
The unique prime factors here are 2 and 3. We have 2 show up at most three times meaning that 2*2*2 = 8 is a factor of the LCM. The number 3 is also a factor meaning that 8*3 = 24 is the LCM.
---------------------------
Method 3
Multiply the denominators 6 and 8 to get 6*8 = 48
48 is a common multiple, but its not the smallest
we can divide 48 over the GCF 2 to get 48/2 = 24, which is the actual LCM.
So when you have 2 different denominators, you can multiply their values and then divide by the GCF to get the LCM.
Find the area the sector. A. 5π/3 mi² B. 9π mi² C. 34π/3 mi² D. 16π mi²
Work Shown:
x = central angle = 255 degrees
r = radius = 4
A = area of sector
A = (x/360)*pi*r^2 ... see note below
A = (255/360)*pi*4^2
A = 34pi/3
note: the formula only works if the central angle x is in degrees. If x is in radians, then use the formula A = (x/2)*r^2
You purchase a $1,500 television. You have to pay 6% sales tax. How much will the tax be on your new television?
Answer:
90 dollars. The total will be $1,590.00.
Step-by-step explanation:
6% of 1500 is 90
We start by converting 6% to a fraction :
6% = 3/50
Then we have
6% of 1500 = 3/50 x 1500 = 3/50 x 1500/1 = 4500/50
Notice that 1500 was rewritten as the fraction 1500/1, and that to multiply two fractions together, you simply multiply the numerators and denominators.
In order to find the simplest form of the fraction 4500/50 we cancel out the greatest common divisor of 4500 and 50, which is 50 :
4500/50=90/1
So the final answer is
6% of 1500=90
1. Find (-9) +7 –(-3)
(-9)+7-(-3)
-9+7+3
-9+10
1
Answer:
1
Step-by-step explanation:
(-9) +7 is -2 because the brackets here don't change anything
so we have -2 - (-3) two negatives make a positive so - (-3) is basically +3 leaving -2+3 so the answer is 1
Hope this helps!
I need answers 32-39 ASAP, thanks!
Answer:
-7 Negative Seven
Step-by-step explanation:
32-39= -7
Find an equation in standard form of the line containing the point (-3, -2) and having slope 14.
Hint: You are given a point and a slope, so start with point-slope form. Then, convert the point-
slope form to standard form by moving all the x and y terms to the left side of the equation.
Answer:
y - 14(x) = 40 (Hopefully)
Step-by-step explanation:
-2 = 14(-3) +40
y = 14(x) + 40
y - 14(x) = 40
I'M GIVING 100 POINTS FOR THIS What is the ratio of a surface area to volume of a sphere with the following measurements? Surface Area = 300m2 Volume = 500m3 A. 500m -1 B. 0.6m -1 C. 300m-1 D. 1.7m-1
Answer:
B
Step-by-step explanation:
SA/V = 300m^2/500m^3 -------- m^2 cancel out and so d othe 100
we get 3/(5m)
Sooo, I guess that's equal to 3/5 1/m and 1/m is m^-1 so we have (B)
Answer: 500m^-1
Step-by-step explanation:
APEX
As you are walking down a path, you see a sign telling the path has a 2% grade (ie., a rise of 2 metres for a horizontal change of 100m). Which of the following expressions will calculate the angle between the path and horizontal?
Answer:
Option (A)
Step-by-step explanation:
It has been given in this question that sign telling path has a 2% grade.
2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).
All the trigonometric ratios for the angle θ between the path and the horizontal are,
Sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
Cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
Since measures of the opposite side and adjacent sides are given
Therefore, tangent ratio will be applied to get the measure of the angle,
tanθ = [tex]\frac{2}{100}[/tex]
θ = [tex]\text{tan}^{-1}(\frac{2}{100})[/tex]
Option (A) will be the answer.
a) A number became 95 when reduced by 5%. What is the number?
Answer:
100
Step-by-step explanation:
5% of 100 is 95 so it becomes 95 when it is reduced by 5%
Answer:
0.9
Step-by-step explanation:
the answer is 95-5/100
=0.9 so the answer is 0.9
I hope this was helpful
Pls help, I cannot do this and it is due 8-28-20
Answer:
20. J, 21. B
Step-by-step explanation:
20. P = 15 (2) + 8 (2)
P = 36 ft.
21. 15 - 6 = 9 ft.
Answer:
[tex]\Large \boxed{\mathrm{20. \ 46 \ feet}} \\ \\ \\ \Large \boxed{\mathrm{21. \ 9 \ feet}}[/tex]
Step-by-step explanation:
The perimeter of a rectangle is the sum of all its sides.
[tex]\Rightarrow 15+8+15+8[/tex]
[tex]\Rightarrow 46[/tex]
The distance between the window and the foot of the bed is:
length of the room - length of the bed
[tex]\Rightarrow 15 - 6[/tex]
[tex]\Rightarrow 9[/tex]
72.4 as a fraction PLEASEEEE
Answer:181/250
Step-by-step explanation:
What is the range in mathss
Answer:
The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.
Step-by-step explanation:
I hope it help you
Answer:
Range is the difference between the highest number in the group and the lowest number so you subtract the highest number from the lowest to get the range
Step-by-step explanation:
[tex] \frac{1}{k} - \frac{1}{4} = 5[/tex]
solve the above by using change of subject
Answer:
4/21
Step-by-step explanation:
Given:
1/k - 1/4 = 5Subject is k, so the following steps are to solve it for k:
1/k = 5+ 1/4 ⇒ adding 1/4 to both sides1/k = 21/4 ⇒ simplifying the fraction on right sidek = 4/21 ⇒ inverting both sides to get answerAnswer is 4/21
what is the value of 3m- 2, if m = 7.
Answer:
m=3
Step-by-step explanation:
3m-2=7
3(3)-2=7
9-2=7
The Value of the equation is 19.
What is a linear Equation in one variable?A linear equation is a type of equation in which every variable's degree is exactly one. In one-variable linear equations, there is only one possible solution to the equation and there is only one variable. It appears to be a straight line, either horizontally or vertically, when it is drawn on a graph.
Given equation 3m - 2
and m = 7
substitute the value of m in the equation,
3 x 7 - 2
21 - 2 = 19
Hence the value is 19.
Learn more about linear Equation in one variable;
https://brainly.com/question/17139602
#SPJ2
What is the formula for the following geometric sequence?
3, 12, 48, 192, ...
Answer:
Step-by-step explanation:
a n = a 1 r n − 1
please help me on this
Answer:
(2, 5)
Step-by-step explanation:
A 90° CCW transformation is ...
(x, y) ⇒ (-y, x)
For A(5, -2), the image point is A'(2, 5).
_____
In your mind, draw a line segment from the origin to point A. You will see that is slope is (rise)/(run) = -2/5.
When you rotate that segment 90° CCW about the origin, it will extend into the first quadrant. The rotated segment is perpendicular to the one you started with, so its slope is ...
-1/(-2/5) = 5/2
That is, it will have a rise of 5 for a run of 2. The point A' will have a x-coordinate of 2 (the run), and a y-coordinate of 5 (the rise).
A'(2, 5)
hose fills a hot tub at a rate of 4.09 gallons per minute. How many hours will it take to fill a 250-gallon hot tub?
Answer:
Step-by-step explanation:
250 gals divided by 4.09
answer:61.12
How many pennies could you have if: When you break the pennies into groups of 2, you have 1 penny left over?
Answer:
Bruh the answer is 5.
Step-by-step explanation:
2 groups of 2, 1 left over. It's simple.
What key graphical feature are obtained from a polynomial function?
Answer:
The key graphical features obtained from a polynomial function are: the zeros, the turning points and the end behaviour. A "zero" of a polynomial function is an input value that produces an output of zero (0).
please show your work :)
-2x + 4 = 12
Answer:
[tex]\large\boxed{x = -4}[/tex]
Step-by-step explanation:
-2x + 4 = 12
Subtract 4 from both sides of the equation
-2x = 8
Divide both sides of the equation by 2
-x = 4
Transfer the minus (multiply both sides by -1)
[tex]\large\boxed{x = -4}[/tex]
Hope this helps :)
Answer:
x = -4
Step-by-step explanation:
-2x + 4 = 12
-2x = 8
x = -4
In figure, a transversal PQ intersects two parallel line AB and CD at L and M respectively. If <1 95 = c, then <2 = ..........?
Answer:
We know that when a line is intersected by a transversal then
Corresponding angles are equal
Alternate interior angles are equal
Vertically opposite angles are equal
and also Sum of all the angles in a straight line is 180
o
Given,
∠CMQ=60
o
=>∠LMD=60
o
[ ∵ vertically opposite angles are equal]
=>∠QMD=180−60
o
[ ∵sum of angles in a straight line is 180
o
]
∴ ∠QMD=120
o
=>∠CML=120
o
[ ∵ vertically opposite angles are equal]
=>∠MLB=120
o
[ ∵ Alternate interior angles are equal]
=>∠LMD=MLA=60
o
[ ∵ Alternate interior angles are equal]
∴ ∠MLA=PLB=60
o
[ ∵ vertically opposite angles are equal]
=>∠MLB=∠ALP=120
o
[ ∵ vertically opposite angles are equal]
∴ ∠CMQ=60
o
, ∠QMD=120
o
, ∠CML=120
o
, ∠LMD=60
o
,
∠MLA=60
o
, ∠MLB=120
o
, ∠ALP=120
o
and ∠PLB=60
o
.
Step-by-step explanation:
please mark me as brainliest
-3/4 x (-10/9)
A. 27/40
B. 5/6
C. -27/40
D. -5/6
Answer: B
Step-by-step explanation:
1. Multiplying two negatives equals a positive.
2. Reduce the numbers with the GCF, 3.
3. Reduce the numbers with the greatest common factor, 2.
4. Multiply the fractions which would give you: 5/6
Answer:
B. 5/6
Step-by-step explanation:
1.multiply -3 by -10 (negative multiplying negative is positive) which will give you 30
2.Then multiply 4 by 9 = 36.
3.u will get 30/36, divide both the numerator and denominator by 6.
4. it will give you 5/6 as an answer.