If w varies inversely with the square root of t and w = 5 when t = 49,
then what is the constant of variation?
Answer:
x=k/y
w=k/t
5=k/√49
5=k/7
k=5×7
k=35
5/12 = 8/n
What is N
Answer:
19.2
Step-by-step explanation:
Cross multiply to get 96=5n
n=19.2
Answer:
n= 96/5 or 19.2 or 19 1/5
Step-by-step explanation:
pls help ill mark brainliest
Answer:
heart shaped candle
Step-by-step explanation:
the flower shaped candle has more wax so the first one.
Hope this helps :D
The amount of time it takes an ice cube to melt varies inversely to the air temperature. At 30 degrees Celsius, the ice will melt in 10 minutes. How long will it take the ice to melt if the temperature is increase to 40 degrees Celsius?
It will take 7 minutes and 30 seconds to melt at a temperature of 40°C.
What is proportion?Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, The amount of time it takes an ice cube to melt varies inversely to the air temperature this can be written as,
Time ∝ 1/(Temparature).
Time = K(1/Temp).
At 30 degrees Celsius, the ice will melt in 10 minutes.
10 = K(1/30).
K = 300.
Now, the time required to melt the ice at 40°C is,
Time = 300(1/40).
Time = 7.5 minutes or 7 minutes 30 seconds.
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Complete the table for the function y=f(1/3x)
Answer:
Step-by-step explanation:
what is the value of b in the equation 45 x -b
Answer:
Step-by-step explanation:
if 45x-b is an equation then b value is the y coordinate of y-intercept (where graph touches the y axis)
How do you answer this? (this is for slopes.)
Answer:
[tex]y= 2x + 4[/tex]
Step-by-step explanation:
We are given an equation of [tex]2x-y+3 =-1[/tex] and we need to put into [tex]y = mx+b[/tex] form.
First, we subtract 3 on both sides to get the variables all on one side.
[tex]2x-y+(3 - 3)=(-1 -3)\\\\[/tex]
[tex]2x-y = -4[/tex]
We need to now isolate y on its own so we subtract [tex]2x[/tex] on both sides.
[tex](2x-2x)-y=(-4-2x)[/tex]
[tex]-y=-2x-4[/tex]
We almost done! We then need to divide the invisible negative on both sides which is a -1.
[tex]\frac{-y}{-1}=\frac{-2x-4}{-1}[/tex]
[tex]y=2x+4[/tex]
When we divide the the negatives together, we know that two negatives divided together is a positive. Therefore, we get our answer [tex]y=2x+4[/tex]
Hoped this helped!
ales tax is calculated as a percentage of the sales price. If sales tax is 7%, what is the sales tax on clothing that costs $150
Answer:
7% of 150= 10.5 :)
Step-by-step explanation:
150/x=100/7
(150/x)*x=(100/7)*x - we multiply both sides of the equation by x
150=14.2857142857*x - we divide both sides of the equation by (14.2857142857) to get x
150/14.2857142857=x
10.5=x
x=10.5
now we have:
7% of 150=10.5
Can i please get some help :)
In 1999 there were 4076 J.C. Penney
stores and in 2003 there were 1078 stores. Write a linear
equation that gives the number of stores in terms of the
year. Let i = 9 represent 1999. Then predict the numbers
of stores for the years 2008 and 2010. Are your answers
reasonable? Explain.
Answer:
- 749.5i + 10821.5
−2669.5
−4168.5
Step-by-step explanation:
Given tgat:
Number of stores in 2003 (y2) = 1078
Number of stores in 1999 (y1) = 4076
1999 = i = 9
2003 = 13
y - y1 = m(x - x1)
m = slope = (y2 - y1) / (i2 - i1)
m = (1078 - 4076) / 13 - 9
m = - 2998 / 4
m = - 749.5
y - 4076 = - 749.5(i - i1)
y - 4076 = - 749.5(i - 9)
y - 4076 = - 749.5i + 6745.5
y = - 749.5i + 10821.5
Prediction for 2008 and 2010
2008 ; i = 18
y = - 749.5(18) + 10821.5
y = −2669.5
2010 ; i = 20
y = - 749.5(20) + 10821.5
y = − 4168.5
Choose the equations in which n=100
will make the equation true.
1:12.4 divided by n=0.124
2:3.8 divided by n=0.038
3:52350divided by n=52.35
4:850.4 divided by n =85.04
5:0.41 divided by n =0.0041
Answer: 1, 2, 5
Step-by-step explanation: Move the decimal two times to the left if you divide by 100.
A spinner is divided into 8 equal sections, and each section contains a number from 1 to 8. What is the probability of the spinner landing on a number that is greater than 5?
StartFraction 1 over 13 EndFraction
StartFraction 1 over 8 EndFraction
StartFraction 3 over 13 EndFraction
StartFraction 3 over 8 EndFraction
Answer:
d
Step-by-step explanation:
find all angles and pls show steps
Answer:
Both angles have a measure of 134degrees, y = 27degrees.
Step-by-step explanation:
As per what is given in the problem:
There are 2 parallel lines, both are intersected by a transversal.
Remember the theorem, when two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.
The is meanse that:
3y + 53 = 7y - 55
Solve using inverse operations:
3y + 53 = 7y - 55
+55 +55
3y + 108 = 7y
-3y -3y
108 = 4y
/4 /4
27 = y
Now, substitute back in to find the value of the angle:
3y + 53
y = 27
3 ( 27 ) + 53
81 + 53
= 134
Since the angles are alternate exterior, they are congruent, hence both angles have a measure of 134degrees.
Please help! It's about systems of equations. Answer correctly i will mark brainliest
Answer:
Step-by-step explanation:
Y= -6
X=-2
The ordered pairs is a
solution to the
inequality
8x – 3y > 24
A.2,6
B.0,-8)
C.-4,-6
D. 4,1
E. 8,2
Answer:
D,E
Step-by-step explanation:
What is 1/6 as a decimal rounded to 3 decimal places?
Answer:
1/6 or 0.16666... can be written rounding off to three decimal digits such as:
[tex]0.16666...[/tex] [tex]\approx[/tex] [tex]0.167[/tex] (rounding off to three decimal digits)Step-by-step explanation:
As we know that
[tex]1\div 6\:=\:0.16666\dots \:[/tex]
In order to round off three decimal places (or digits ), we need to check:
the digit in the fourth place.If the digit in the fourth place is greater than 5, then we must add 1 to the previous digit.Therefore, 1/6 or 0.16666... can be written rounding off to three decimal digits such as:
[tex]0.16666...[/tex] [tex]\approx[/tex] [tex]0.167[/tex] (rounding off to three decimal digits)The fraction 1/6 expressed as a decimal number is 0.167
Fractions are expressed as the ratio of two integers. For example, a/b is a fraction where a and b are integers
Given the fraction 1/6, we are to express it as a decimal.
First, we can express it as a percentage as shown:
1/6 * 100 = 100/6
1/6 = 16.7%
Expressing as a decimal number
16.7% = 0.167
Hence the fraction 1/6 expressed as a decimal number is 0.167
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Miguel sells boxes of cookies for $8 each. Donna sells boxes of cookies for $10 each. Each of them sold the same dollar amount. It was the smallest dollar
amount for which this was possible.
Answer the following questions.
How many boxes did Miguel sell?
Answer:
$40
Step-by-step explanation:
You find the LCM (least common multiple). To do this, you can use prime factorization.
(there is an below that shows the prime factorization tree for 8 and 10)
so, the only common prime factor is 2. you use the 2 and multiply with the remaining prime factors.
5*2 --> for 10
2*2*2 -->for 8
becomes
5*2*2*2
if you multiply that out, it becomes 40.
Another method is to just think: "What can they both become after being multiplied by a number?" or "What can 8 and 10 both be?"
Anyway, the answer is 40. Hope this helps!
How can I get better at math so I don't flunk?
Answer:My suggestion is practice what you learned after each class for like 10-20 min and pay close attention in class. Wish you the best of luck.
Step-by-step explanation:
The ratio of boys to girls in a class is 5:4. There are 36 students in the class. How many more boys than girls are there?
PLS HELP ASAP!! WILL GIVE BRAINLIEST!!
Which system of inequalities has the following graph as its solution?
Answer:
x>3
y≥2x-5
Step-by-step explanation:
graph them
What is the area of ABC?
Answer:
Area of triangle ABC = 10
Option C is correct.
Step-by-step explanation:
We need to find area of triangle ABC
We are given A(2,1) B(4,7) and C(6,3)
The formula used to find [tex]Area \ of \ triangle=\frac{1}{2}base\times height[/tex] ABC is:
In the given triangle base= AC and height = BC
First we need to find the distance between A and C and B and C
The formula used to find distance between AC [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have [tex]x_1=2, y_1=1, x_2=6, y_2=3[/tex]
Putting values and finding distance
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-2)^2+(3-1)^2}\\Distance=\sqrt{(4)^2+(2)^2}\\Distance=\sqrt{16+4}\\Distance=\sqrt{20}[/tex]
find distance between BC [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have [tex]x_1=4, y_1=7, x_2=6, y_2=3[/tex]
Putting values and finding distance
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-4)^2+(3-7)^2}\\Distance=\sqrt{(2)^2+(4)^2}\\Distance=\sqrt{4+16}\\Distance=\sqrt{20}[/tex]
So, We have height = [tex]\sqrt{20}[/tex] and base = [tex]\sqrt{20}[/tex]
Finding area of triangle
[tex]Area \ of \ triangle=\frac{1}{2}base\times height\\Area \ of \ triangle=\frac{1}{2}\sqrt{20} \times \sqrt{20} \\Area \ of \ triangle=\frac{1}{2}\times 20\\Area \ of \ triangle=10[/tex]
So, Area of triangle ABC = 10
Option C is correct.
how many solutions do the equations y=3x+4 and 3y-6x=2 have?
Answer:
1 solution
Step-by-step explanation:
You can solve these equations by using substitution. y = 3x+4, so 3y-6x=2 can also be written as 3(3x+4)-6x = 2 if you plug in the y value in the second equation. Then, simplify and you will get your x answer. If you plug that into the first equation, you will get your y answer.
Need help with this one
help me match these pleasee and explain!
PLEASE HELP ME WORH THIS
Answer: It’s C
Step-by-step explanation: 5-12-2=-9 and then the 11 stays
1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7
ques #1: What happens to the mean and standard deviation of the data set when the 7 is changed to a 70?
ques #2: For the data set with the value of 70, why would the median be a better choice for the measure of center than the mean?
Answer:
The mean would get bigger becuase you are adding in a bigger number there for the mean would increase.The standard deviation would change as well because then again you are adding a bigger number and standard diviation is basically the difference between the gratest and least. For #2 no the median wouldn't chnage becuase the 70 is going in place for the 7 so it would just fill it's spot and wouldn't effect the data set.
Step-by-step explanation:
The median would be a better choice for the measure of center becuase the mean is telling you the average and the median is actully telling you where the middle of the data set is.
The mean is the average of a group of data. The data set added up and divided by the number of data. The mean is sensitive to extreme data.
When 7 is changes to a 70 then mean and standard deviation both changes.
For the given data set median be a better choice for the measure of center than the mean because mean is sensitive to extreme data and median is the point at which half the data are above and half the data are below.
The median is the point at which half the data are above and half the data are below. Medians are less sensitive to extreme scores . Therefore, median is center point of data set.
Standard deviation shows how much variation there is from the mean. A low SD indicates that the data points tend to be close to the mean, whereas a high SD indicates that the data are spread out over a large range of values.
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can someone help me ?
36 + 3w = -36, w = ?
4 – 9g = -23, g = ?
Answer:
1. w=-24
2. g=3
Step-by-step explanation:
Name a point NOT on line l or m
{PLEASE ANSWER}
g(7)=
Answer:
g(7) = 4
General Formulas and Concepts:
Algebra I
Reading a Cartesian PlaneWriting CoordinatesStep-by-step explanation:
What g(7) is saying is that we are trying to find the y-value when x = 7. According to the graph, when x = 7, y would equal 4. Therefore, g(7) = 4 and our coordinate would be (7, 4).
You need to know that g(7) means that x = 7. Look at the graph. When x is 7, what is the value of y?
The point (7,4) indicates that g(7) = 4.
Consider the rates 45 mile in 8 minutes and 4 minutes to travel 25 mile. Select the statement(s) that are true. Multiple select question. Cross out A) The rate 45 mile in 8 minutes has a unit rate of 10 miles per minute. Cross out B) The rate 45 mile in 8 minutes has a unit rate of 110 mile per minute. Cross out C) The rate 4 minutes to travel 25 mile has a unit rate of 10 minutes per mile. Cross out D) The rate 4 minutes to travel 25 mile has a unit rate of 110 minute per mile. Cross out E) Both rates are equivalent. Cross out F) The rates are not equivalent.
Answer:
F) The rates are not equivalent.
Step-by-step explanation:
Consider the rates 45 mile in 8 minutes and 4 minutes to travel 25 mile. Select the statement(s) that are true. Multiple select question.
We find the unit rates
a) 45 mile in 8 minutes , we find the unit rate in miles per minute
8 minutes = 45 miles
1 minute = x
8 × x = 45 miles × 1 minute
x = 45 miles/8 minutes
x = 5.625 miles/ minute
b) 4 minutes to travel 25 miles. Find the unit rate is minutes per mile
25 miles = 4 minutes
1 mile = x
25miles × x = 4 minutes × 1
x = 4 minutes/25 miles
x = 0.16 minutes/mile
Hence, the correct option is
F) The rates are not equivalent.