Answer:
30/100 and 70/100
Step-by-step explanation:
To make things a bit easier, lets simplify 6/20
=> 6/20 = 3/10
Now, since we see that both fractions have a denominator of 10, we can multiply the denominators by 10 to make the denominators 100.
=> 3/10 and 7/10
=> 3 x 10/10 x 10 and 7 x 10/10 x 10
=> 30/100 and 70/100
Therefore, the fractions with denominator 100 are '30/100 and 70/100'
Hoped this helped.
The pyramid and prism above have the same triangular base and height. The volume of the pyramid is 18 cubic inches. What is the volume of the prism?
A. 36 cubic inches
B. 72 cubic inches
C. 6 cubic inches
D. 54 cubic inches
Can you explain to me how you solve this problem
Answer:
5000
Step-by-step explanation:
Let's start with something that makes sense:
10 is 2 times larger than 5 because 5*2=10 or 10/5=2.
100 is 4 times larger than 25 because 25*4=100 or 100/25=4
Notice what's in bold. To find out how many times a larger number is compared to a smaller number, divide the larger number by the smaller number. Now, see attachment 1
-2 (3y + 2) - 7z - 4(3z+ 8y )
how do you simplify expression with distribution?
Answer:
-38y - 19z - 4
Step-by-step explanation:
You meses to multiply the numbers outside the brackets with the values inside.
First you have -2(3y+2) so you multiply -2 with 3y = -6y and then you multiply the -2 with the +2 = -4. So you're left with -6y - 4 - 7z - 4(3z+8y).
Now do the same with the last one, multiply -4 by 3z = -12z, then multiply -4 with +8y = -32y. You're left with -6y-4-7z-12z-32y.
Now we change the order to make it easier and we have -32y-6y-12z-7z-4, we make the subtractions and we get -38y - 19z - 4
A builder is designing a rectangular patio that has a length of 12 units. Find the total number of square units the patio will cover if the width is 4
Answer:
48 square units
Step-by-step explanation:
Use the area formula, A = lw, where l is the length and w is the width
Plug in the length and width:
A = lw
A = (12)(4)
A = 48
So, the patio will cover 48 units²
Find the equation of the line that contains the point p(3,5) and is parallel to the graph of 5x+y= -2
9514 1404 393
Answer:
5x +y = 20
Step-by-step explanation:
The equation of the parallel line will have the same x- and y-coefficients. The constant will be adjusted to make the equation true at the given point.
5x +y = 5(3) +(5) = 20
The parallel line is ...
5x +y = 20
How much sales tax is charged on an item that costs $300 if the sales tax rate is 10%? What is the total price of the item?
Answer:
the total price of the item including sales tax is $330.
Step-by-step explanation:
If the sales tax rate is 10%, then the amount of sales tax charged on an item that costs $300 can be found by multiplying the cost of the item by the sales tax rate:
Sales tax = 10% of $300
= 0.1 x $300
= $30
Therefore, the sales tax charged on the item is $30.
To find the total price of the item including sales tax, we need to add the cost of the item to the sales tax charged:
Total price = Cost of item + Sales tax
= $300 + $30
= $330
Therefore, the total price of the item including sales tax is $330.
The price of an item yesterday was $130. Today, the price fell to $39. Find the percentage decrease.
Answer:
30% decrease
Step-by-step explanation:
We have to divide 39 by 130 and then find the percentage of it. 39/130 is equal to 3/10, and 3/10 is equal to 30%. That means that it was a 30% decrease.
Answer:
35%
Step-by-step explanation:
A water-walking ball has a volume of approximately 904.32 cubic feet. What is the radius of the ball? (V = 4/3(pi)r^3)
Make sure you do put the unit with this answer rounded to the tenth if necessary.
Answer:
The radius of the ball is of 6 feet.
Step-by-step explanation:
The radius of the ball in spheric format is given by:
\(V = \frac{4\pi r^3}{3}\)
In which r is the radius.
A water-walking ball has a volume of approximately 904.32 cubic feet. What is the radius of the ball?
Volume in cubic feet, so the radius will be in feet. We have to find r for which \(V = 904.32\). So
\(V = \frac{4\pi r^3}{3}\)
\(904.32 = \frac{4\pi r^3}{3}\)
\(r^3 = \frac{904.32*3}{4\pi}\)
\(r = \sqrt[3]{\frac{904.32*3}{4\pi}}\)
\(r = 6\)
The radius of the ball is of 6 feet.
in a town election, 5985 people voted. this is 63% of the town's population who are registered to vote. How many people are registered to vote?
Answer:
9500
Step-by-step explanation:
If r represents the number of registered voters, we are given that ...
5985 = 0.63·r
r = 5985/0.63 = 9500
9500 people are registered to vote.
Please ANSWER!!!!!!!
Answer:
See explanation
Step-by-step explanation:
It appears that the second graph is better since it seems to be rather consistent. The graph of the first one seems out of place. Therefore it seems to be confusing and could be misleading.
PLEASE HELP!!! Given that x and y vary inversely and that y is 24 when x is 8, sketch a graph of this inverse variation function for x > 0.
Note that as x gets larger, y gets smaller, but the product xy remains constant at 192.
What is function?In mathematics, a function is a relationship between two sets, called the domain and the range, such that each element of the domain corresponds to exactly one element of the range. A function takes an input value (or values) and produces an output value (or values) according to a specific rule or formula. The input values are the domain of the function, and the output values are the range of the function. Functions can be represented using equations, graphs, tables, or verbal descriptions. They are used to model relationships between variables in various fields of mathematics, science, engineering, economics, and many other areas.
Here,
If x and y vary inversely, this means that their product is a constant. We can use this fact to find the constant of proportionality k as follows:
k = xy
If we know that y is 24 when x is 8, we can substitute these values into the equation above to solve for k:
k = xy
= 8(24)
= 192
Now we can use this value of k to write the inverse variation function:
xy = 192
or
y = 192/x
To sketch a graph of this function for x > 0, we can plot a few points and connect them with a smooth curve. Here are some points we can use:
(x, y)
(1, 192)
(2, 96)
(4, 48)
(8, 24)
(16, 12)
(24, 8)
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y is inversely proportional to x squared y=8 when x =3.5 find the neagative value of x when =8/9
Since y is inversely proportional to x squared and y = 8 when x = 3.5, the negative value of x when y = 8/9 is equal to -10.5 or -21/2.
What is an inverse variation?In Mathematics, an inverse variation can be modeled by this mathematical expression:
y ∝ 1/x
y = k/x
Where:
x and y represents the variables or data points.k represents the constant of proportionality.Based on the information provided above, we would determine the constant of proportionality (k) by substituting the value of the given variable as follows:
y = k/x²
k = yx²
k = 8(3.5)²
k = 98.
Now, we can determine the negative value of x:
x = √(k/y)
x = √(98/(8/9)
x = √110.25
x = 10.5 or 21/2.
x = -10.5 or -21/2.
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These shapes are similar.
Find X.
5
5
30
24
30
Answer: 4
Step-by-step explanation:
Find the length of the hypotenuse. Round your answer to the nearest tenth if necessary.
Dr Wyzard passed out bags of Starburst for the best students. One bag contains 5
orange, 2 pink, and 3 yellow. What is the probability of randomly selecting an orange
candy, eating it, then randomly selecting another orange?
4/10 or 2/5 simplified
Hope this helps you out!
Find the circumference of the circle and round to the nearest tenth
Step-by-step explanation:
Circumference of Circle =
\(2\pi \: r\)
given d = 19.4mi
r = 1/2d
= 1/2 x 19.4
= 9.7mi
Circumference of Circle =
\(2\pi(9.7) \\ = 19.4\pi \\ = 60.9mi \: (nearest \: tenth)\)
A sandwich shop offers 3 different kinds of bread, 4 different kinds of meat, and 6 different toppings. How many different sandwiches with one bread, one meat, and one topping are possible?
Answer:
yeah
Step-by-step explanation:
0
Your second impression was "right"; the answer is 36 in one restricted interpretation of the problem, in which a sandwich has precisely one type of bread, one type of meat, and one type of cheese.
The largest possible interpretation is that a sandwich consists of a top bread, 1 to 3 types of meat, 1 to 3 types of cheese, and a bottom bread which could be different from the top slice of bread (but two sandwiches are considered the same if the only difference is turning one upside down). The answer to that problem involves, for example, seven possible combination of meats, and is
(42)bread⋅(23−1)meat⋅(23−1)cheese=6⋅7⋅7=594
If you must use the same type of bread top and bottom the answer is
(41)bread⋅(23−1)meat⋅(23−1)cheese=4⋅7⋅7=396
A lighting designer created a program for the opening of a stage show. When the show starts, 10 lights are on. Every 30 seconds, 1 more light comes on. If t is time in minutes and L is the number of lights that are on, which function best models the number of lights that are on after t minutes of the stage shows?
A. L= 1/2t+10
B. L=2t+10
C. L=30t+10
D. L=10t+1/2
E. L=10t+30
I really need your help!!!
The number of lights L that are on after t minutes of the stage shows is,
A. L = (1/2)t + 10.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, When the show starts, 10 lights are on which is a constant in out function.
Every 30 seconds or (1/2) a minute 1 more light comes on.
∴ The function best models the number of lights that are on after t minutes of the stage shows is,
L = (1/2)t + 10.
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Help me please! I’m really struggling on how to do this
Answer:
12 feet
Step-by-step explanation:
1 inch= 8 feet
1/2 inch= 4 feet
1/4 inch= 2 feet
(2x2)/2= 2 (one triangle)
2x4=8 (rectangle)
2+2=4 +8=12
^2 was added 2 times cause there are 2 triangles
(you did not need a 3rd measurement cause the triangle measurements were equal)
Tina is working on a science project. She needs to make green paint in
order to complete her project. For every two gallons of blue paint, she
needs to add six gallons of yellow. If Tina used a total of 1,312 gallons
of paint, how many gallons were yellow?
94
Answer:
I think 164
Step-by-step explanation:
1312/8
Is the given number a solution of the equation? Which value of d is a solution to the equation 13 – d = 8? 7 5 4 2
Answer:
d = 5 is a solution to the equation 13 - d = 8
Step-by-step explanation:
We have to solve 13 - d = 8
Now,
13 - d = 8,
We add d on both sides,
13 - d + d = 8 + d
13 = 8 + d
we subtract 8 from both sides,
13 - 8 = 8 - 8 + d
5 = d
d = 5
Hence the answer is 5
HELP ASAP!! I DONT KNOW IT!!
Answer:
9 is friday and the ansr is 81
Step-by-step explanation:
Give 1 positive and 1 negative experience you have with math.
Answer:
Maths is a very interesting subject, studying which - offers one with various positive & negative experience(s)
Step-by-step explanation:
Positive Experience : It enhances analytical, logical ability, which is useful in other subjects also. Eg - Accounts, Logical Reasoning
Negative Experience : It sometimes becomes bulky to solve, with loads of formulas & calculations. So, time management becomes a difficult task thereof
Round 317,675 to the nearest ten thousand
Answer:320000
Step-by-step explanation:
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.23.
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 98% confidence level with an error of at most 0.03? Round your answer up to the next integer.
Using the z-distribution, it is found that a sample size of 1066 is required.
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which z is the z-score that has a p-value of .
The margin of error is:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
From the previous study, the estimate is of 0.23, hence \(\pi = 0.23\).
98% confidence level, hence\(\alpha = 0.98\), z is the value of Z that has a p-value of \(\frac{1+0.98}{2} = 0.99\), so \(z = 2.327\).
The sample size is n for which M = 0.03, hence:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.03 = 2.327\sqrt{\frac{0.23(0.77)}{n}}\)
\(0.03\sqrt{n} = 2.327\sqrt{0.23(0.77)}\)
\(\sqrt{n} = \left(\frac{2.327\sqrt{0.23(0.77)}}{0.03}\right)\)
\((\sqrt{n})^2 = \left(\frac{2.327\sqrt{0.23(0.77)}}{0.03}\right)^2\)
\(n = 1065.5\)
Rounding up, a sample size of 1066 is required.
A similar problem is given at https://brainly.com/question/12517818
I know I put An answer I don’t know if that’s it I just accidentally put it
Answer:
38
Step-by-step explanation:
Answer:
the answer is 36ft² or c
Step-by-step explanation:
hope this helps :)
A bag contains 9 RED beads, 8 BLUE beads, and 3 GREEN beads. If a single bead is picked at random, what is the probability that the bead is RED or GREEN
Answer:
0.6 = 60% probability that the bead is RED or GREEN.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
There are 9 + 8 + 3 = 20 beads.
Of those, 9 + 3 = 12 are red or green.
So, there is a \(\frac{12}{20} = 0.6\) probability that the bead is RED or GREEN.
HELP PLEASE!!!
Oak wilt is a fungal disease that infects oak trees. Scientists have discovered that a single tree in a small forest is infected with oak wilt. They determined that they can use this exponential model to predict the number of trees that will be infected after t years.
f(t)=e^0.4t
Question:
Rewrite the exponential model as a logarithmic model that calculates the # of years, g(x) for the number of infected trees to reach a value of x.
The logarithmic model is:
\(g(x) = \frac{\ln{x}}{0.4}\)
-------------
We are given an exponential function, for the amount of infected trees f(x) after x years.To find the amount years needed for the number of infected trees to reach x, we find the inverse function, applying the natural logarithm.-------------
The original function is:
\(y = f(x) = e^{0.4x}\)
To find the inverse function, first, we exchange y and x, so:
\(e^{0.4y} = x\)
Now, we have to isolate y, and we start applying the natural logarithm to both sides of the equality. So
\(\ln{e^{0.4y}} = \ln{x}\)
\(0.4y = \ln{x}\)
\(y = \frac{\ln{x}}{0.4}\)
Thus, the logarithmic model is:
\(g(x) = \frac{\ln{x}}{0.4}\)
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A number is between 40 and 45 . It has prime factors of 2 and 11. What is the number?
Answer: 42
Step by step:
42 is divisible by both 7 and 2
Answer:
44
Step-by-step explanation:
4 x 11 = 44
2 x 22 = 44
An airplane travels 550 miles from North Carolina to Tennessee in 90 minutes. At this rate, how many minutes will it take the airplane to travel 6,600 miles?
Answer:
It will take 1,080 min or 18 hours
Step-by-step explanation:
Here is why, since 6600 miles is 12 times farther than 550 miles you'd multiply the time it took to go 550 miles by 12 too