7r. r represents a fraction which value of r makes the expression equal a number less than 7? 4/4 or 4/3 or 4/5 or 4/1
The value of r that makes the expression 7r less than 7 is 4/5, as multiplying 7 by 4/5 results in 5.6, which is less than 7.
The question asks which value of r makes the expression 7r equal a number less than 7, given the choices of 4/4, 4/3, 4/5, or 4/1. To find the solution, we simply multiply 7 by each fraction option and see which results in a number less than 7.
For 4/4 (or 1): 7 * 1 = 7For 4/3: 7 * (4/3) > 7For 4/5: 7 * (4/5) = 5.6, which is less than 7For 4/1 (or 4): 7 * 4 > 7Thus, the value of r that makes the expression 7r result in a number less than 7 is 4/5.
major help and if you can, please explain how you got your answer
10. Write an inverse variation to model the situation and answer the question. Two rectangular fields have the same area. One measures 75 yd by 60 yd. If the other has a length of 72 yd, what is its width?. show your work.
(3.) Would you be able to tell how much temperature rose since 6 A.M? Why or why not?
find the difference. express your answer in simplest form. (4r/s) - (r/s)
556 multiplied by 34
Nick gets out of school at 2:25pm he has a 16 minute ride home on the bus next he goes on s 30 minute bike ride then he spends 55 minutes doing homework at what time does nick finish his homework
a trapezoid with an area of 166.75 in has bases that measure 21 in and 8 in find the height of the trapezoid
The area of trapezoid is calculated as -
Area of trapezoid = [tex] \frac{a + b}{2} X height [/tex]
Here, a = base 1
b = base 2
Height is the height of trapezoid.
It is given that,
Area of trapezoid = 166.75 in
Base 1, a = 21 in
Base 2, b = 8 in
Area of trapezoid = [tex] \frac{a + b}{2} X height [/tex]
166.75 in = [tex] \frac{21 in + 8 in}{2} X height [/tex]
Height = [tex] \frac{ 166.75 in}{14.5}
Height = 11.5 in
Thus, height of trapezoid = 11.5 In
How does the volume of a cylinder change when its diameter is quadrupled?
When the diameter of a cylinder is quadrupled, its volume increases by a factor of 4 because the volume is directly proportional to the square of the radius.
When the diameter of a cylinder is quadrupled, it means the diameter is multiplied by 4.
The formula for the volume of a cylinder is [tex]\(V = \pi r^2 h\)[/tex], where r is the radius and h is the height.
If the diameter is quadrupled, the radius would be doubled because the radius is half the diameter.
Let's denote the original radius as r and the new radius after quadrupling the diameter as 2r.
Substituting the new radius into the volume formula, we get:
Original Volume: [tex]\(V_1 = \pi r^2 h\)[/tex]
New Volume: [tex]\(V_2 = \pi (2r)^2 h = \pi (4r^2) h\)[/tex]
We can see that the new volume is 4 times the original volume [tex](\(V_2 = 4V_1\))[/tex].
So, when the diameter of a cylinder is quadrupled, its volume increases by a factor of 4.
Find the value of x in each of the following:
[tex] \sqrt[3]{27} = \: x[/tex]
[tex] \sqrt[3]{x} = \frac{1}{4} [/tex]
[tex] \sqrt[3]{ \frac{1}{512} } = \: x[/tex]
[tex] \sqrt[3]{x} = 11[/tex]
Please explain how you got your answer(s), thanks!
Given the figure below, find the values of x and z.
Answer:
x = 14; z = 83 hope this helps u
The vertices of a triangle are A(4,5), B(7,1), and (9,6). After reflecting over the line x = 5, what are the new coordinates? A) A'(5,6), B'(1,3), C'(6,1) B) A'(6,5), B'(3,1), C'(1,6) C) A'(5,5), B'(5,1), C'(5,6) D) A'(5,4), B'(5,7), C'(5,6)
the answer is B i just did it
Answer:
The answer is B.
Step-by-step explanation:
I took the benchmark too.
which is a value of x, when 3x²+4=40
use (r,16) to solve y=2x-4
the ratio of boy to girls in 8th grade is 5 to 3 ,how many girls are there in 8th grade if there are 80 students in 8th grade
. Thus, the number of girls =30.
Let's denote the number of boys as 5x and the number of girls as 3x. According to the problem, the total number of students is the sum of both boys and girls:
5x + 3x = 80
Combining the terms, we get:
8x = 80
Now, solving for x:
x = 80 / 8
x = 10
Now that we know the value of x, we can find the number of girls:
Number of girls = 3x = 3 * 10 = 30
Therefore, there are 30 girls in the 8th grade.
Emilio borrows $1200 from a bank with 8% simple interest per year. How much interest will he have to pay back in 2 years?
The interest per year on the amount of money that Emillio borrowed from the bank at the rate of 8% interest is $192
Interest can be regarded as the charges that is added to the principal, usually some percentage of the principal.Principal is the amount of money that is been lent out.Rate can be regarded as the percentage increase of the principal.Time (t) can be regarded as the period that is needed to pay the money that was lent out back.were were given rate (r) as[tex]8% = 0.08[/tex]%with[tex]interest (I)[/tex]as ?[tex]principal (P)= $1200[/tex]From the the formula for expressing
[tex]simple interest [ I= prt][/tex]
[tex]P= principal \\ I= interest\\ r= rate[/tex]Then substitute into the formula[tex]I= (1200 * 0.08 * 2)[/tex][tex]= 192.00[/tex]
Therefore, the interest on the money is $192
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Need help please, pt 4 Thanks!
how do you do application of linear equations
Which is not a factor of 56? A. 4 B. 8 C. 14 D. 26
Martina chose a random sample of 10 bags of candy from two different Brands, A and B. All bags in the sample are the same size. Martina counts the number of candy pieces in each bag and plots the results on two dot plots.
(see photo)
Based on the plots, which statement is a valid comparison of the number of candies in the bags of the two Brands?
A. The number of candies in the bags from Brand B is greater and more consistent than the number of candies in the bags from Brand A.
B. The number of candies in the bags from Brand B is greater and less consistent than the number of candies in the bags from Brand A.
C. The number of candies in the bags from Brand B is fewer and more consistent than the number of candies in the bags from Brand A.
D. The number of candies in the bags from brand B is fewer and less consistent than the number of candies in the bags from brand A.
kendra flips a coin 3 times what is the probability that she flips tails all 3 times
To find the probability of flipping tails all three times, we need to consider that each flip of a fair coin has a probability of 0.5 of landing on tails.
Since the coin flips are independent events (the outcome of one flip doesn't affect the outcome of another flip), we can simply multiply the probability of each individual flip.
So, the probability of flipping tails three times in a row is:
P(Tails, Tails, Tails) = P(Tails) × P(Tails) × P(Tails)
P(Tails, Tails, Tails) = 0.5 × 0.5 × 0.5
P(Tails, Tails, Tails) = 0.5³
P(Tails, Tails, Tails) = 0.125
So, the probability that Kendra flips tails all three times is 0.125 or18.
The probability of flipping tails on a fair coin is 0.5 (or 1/2) since there are two equally likely outcomes, heads or tails. When flipping a coin three times, each flip is independent, meaning the outcome of one flip doesn't affect the outcome of another.
To find the probability of flipping tails all three times, we multiply the probability of each individual flip.
So, 0.5 (tails on the first flip) times 0.5 (tails on the second flip) times 0.5 (tails on the third flip) equals 0.5³ = 0.125.
Therefore, the probability that Kendra flips tails all three times is 0.125 or 1/8.
Complete Question:
Kendra flips a coin 3 times what is the probability that she flips tails all 3 times.
The circumference of a circle is approximately 37.7 centimeters. Enter the radius of the circle, in centimeters. Round your answer to the nearest whole number.
The circumference of the circle is given as 2[tex] \pi [/tex]r where [tex] \pi [/tex] is a constant whose value is equal to 22/7 and r is the radius of the circle
From the given problem, we have the circumference =37.7
2[tex] \pi [/tex]r = 37.7
2*22/7*r = 37.7
r = 37.7*7/(22*2)
r = 263.9/44
r = 5.99
r = 6cm
Radius = 6 centimeters (Rounded to nearest whole number)
what is the position of D on the number line below?
write your answer a fraction or mixed number
The position 'D' on a number line, based on the information given, is approximately one and two-thirds units, or 1 2/3, to the right of the center bottom perpendicular hash mark, often representing zero.
The position of 'D' on the number line represents the location of a particular point labeled as 'D.'
According to the provided reference, the fifth dot, presumably 'D', is about one and two-third perpendicular hash marks to the right of the center bottom perpendicular hash mark.
On a typical number line, the center bottom perpendicular hash mark often represents zero.
If each perpendicular hash mark to the right of zero denotes one unit, then 'D' would be located at 1 2/3 or 1.67 on the number line. However, without the actual number line, this remains an estimated position.
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The probable question may be:
What is the position of D below?
the cost of running an appliance varies jointly as the number of watts used, the hours of operation, and the cost per kilo-watt hour. A 6000 watt convection oven operates for 10 minutes for 15 cents at a cost of 7.5 cents per kilo-watt hour. what is the cost of cooking two meals if each meal takes 70 minutes to make?
The cost of cooking two 70-minute meals on a 6000-watt appliance with a kilo-watt rate of 7.5 cents will be roughly $1.05.
Explanation:Your question relates to the calculation of the cost of running an appliance based on its power, time of use, and the cost per kilo-watt hour. When evaluating power and energy consumption, we use an equation for energy, which states that E = Pt, where E is the energy (in kilo-watt hours), P is the power (in kilo-watts), and t is the time (in hours).
First, to find the cost, we need to convert everything to respective units. The 6000 watts is equivalent to 6 kilowatts (kw), and 10 minutes is equivalent to 10/60 or approximately 0.167 hours. The cost per kilo-watt hour is 7.5 cents.
The energy consumed would thus be E = Pt = (6kw)(0.167 hr)= 1kwh. The cost of running the appliance for 10 mins is (1kwh)(7.5 cent/kwh) = 7.5 cents.
To cook one meal, with a time of 70 minutes (or approximately 1.167 hours), we will have E = Pt = (6kw)(1.167 hr)= 7kwh. The cost of cooking one meal therefore would be (7kwh)(7.5 cent/kwh) = 52.5 cents.
Finally, to cook two meals, you would just double this cost, resulting in 2 * 52.5 cents = 105 cents or $1.05.
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Isabella and Mateo each collect beautifully polished rocks. The weights, in ounces, of their rocks are listed below.
Which statistical measure could be used to support the claim that Mateo’s rocks generally weigh more than Isabella’s rocks?
Question 7 options:
A) mean
B) median
C) mode
D) range
Kim spent $26 on a magazine and 6 notepads have the magazines cost $2 then how much was each Notepad
genna painted a table top that is shaped like a circle . the circumferance of the tabletop is 6 feet which measurement is closest to the area of the tabletop in square feet?
The lowest altitude of an altocumulus cloud is about 3 8 feet. The highest altitude of an altocumulus cloud is about 3 times the lowest altitude. What is the highest altitude of an altocumulus cloud? Write your answer as a power
It is given The lowest altitude of an alto cumulus cloud is about [tex]3^{8}[/tex] feet.The highest altitude of an alto cumulus cloud is about 3 times the lowest altitude . The question is asking us to find the highest altitude of an alto cumulus cloud.
The the highest altitude of an alto cumulus cloud = [tex]3 .(3^{2}) =3^{1+2}=3^{9}.feet.[/tex].
It is given The lowest altitude of an alto cumulus cloud is about [tex]3^{8}[/tex] feet.The highest altitude of an alto cumulus cloud is about 3 times the lowest altitude . The question is asking us to find the highest altitude of an alto cumulus cloud.
The the highest altitude of an alto cumulus cloud = [tex]3 .(3^{2}) =3^{1+2}=3^{9}.feet.[/tex].
The sine of 37 degrees is equal to the cosine of what angle
Answer:
53
Step-by-step explanation:
The sine and cosine have to be equal to 90 degrees.
Please help ASAP! And please show steps or explain!