Answer:
After 20 days, the two runners will have run the same number of miles
Step-by-step explanation:
The problem can be solved by using equations. However, we'll approach the solution by using pure reasoning and logic, besides calculations.
The first runner has already run 15 miles this month and plans to run 2 1/2=2.5 miles per day for the rest of the month.
The other runner has not yet run and plans to run 3 1/4 = 3.25 miles per day for the rest of the month. Since his running rate is greater than the other runner, they will both eventually have the same number of miles.
The difference in their running rates is 3.25 - 2.5 = 0.75 miles per day. Since the current difference between them is 15 miles, the second runner needs to run for 15 / 0.75 = 20 days.
After 20 days, the two runners will have run the same number of miles
if triangle DEF is congruent to triangle MNO, then angle E is congruent to angle ?
Identify the variable(s), set up your equation(s), and solve. Richard has an elder sister who is twice his age and a younger sister who is two years younger than him. If the product of his sisters' ages is 70, how old is Richard?
Answer:
7 years
Step-by-step explanation:
Given that:
Let Richard's age = x
Elder sister's age = 2x
Youngwr sister's age = x - 2
Product of sisters ages = 70
2x * (x - 2) = 70
2x² - 4x = 70
2x² - 4x - 70 = 0
x² - 2x - 35 = 0
x² - 7x + 5x - 35 = 0
x(x - 7) +5(x - 7) = 0
(x - 7) or (x + 5) = 0
x = 7 or x = - 5
X can't be negative
Hence, x = 7
Richard is 7 years
find the ratio of a:b if it is given that a+2b/11= b/3
please answer thanks!
Answer:
3(a+2b)=11b
3a+6b=11b
3a=5b
a/b=5/3
a:b=5:3
Answer:
a:b = 5:3
Step-by-step explanation:
I do RSM too, just type in 5:3! Good luck and have a wonderful day.
which function does not have a vertical asymptote?
a. y=5x/x*x^2
b. y=5x/1+2x^2
c. y=5x-1/x
d. y=x/1-x^2
Answer:
B. y=(5x)/(1 + 2x^2)
Step-by-step explanation:
A. y = (5x)/(x * x^2)
Vertical Asymptotes: x = 0
B. y = (5x)/(1 + 2x^2)
Vertical Asymptotes: None
C. y = (5x - 1)/x
Vertical Asymptotes: x = 0
D. y = x/(1 - x^2)
Vertical Asymptotes: x = -1, 1
If jake had $25 to spend at the candy store , how much money did jake have left after his purchase
simplify I know I spelled it wrong
Answer:A
Step-by-step explanation:
Answer:
D ) 25t + 10
Step-by-step explanation:
Re-order terms so constants are on the left:
(5t+2) 5
5 (5t +2)
Distribute:
5 (5t +2)
25t +10
Answer:
25t +10
The triangle shown is an isosceles triangle because the lengths of two legs
What standard form polynomial expression represents the area of the triangle? Hint: Area= 1/2bh
Answer:
Here's the answer
Step-by-step explanation:
9/2g^4-18g^3+24g^2-12g+2
its long
The triangle shown is an isosceles triangle because the lengths of the two legs are equal.
Isosceles triangle:An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception. The isosceles right triangle, the golden triangle, the faces of bipyramids, and some Catalan solids are all examples of isosceles triangles.Isosceles triangles were first studied mathematically in Babylonian and Egyptian mathematics. Isosceles triangles are commonly employed in architecture and design, such as in building pediments and gables, and have been utilized as ornamentation since much earlier periods.Therefore, The triangle shown is an isosceles triangle because the lengths of the two legs are equal.
So, [tex]\frac{9}{2} g^{4} -18g^{3} +24g^{2} -12g+2[/tex] is the standard form polynomial expression represents the area of the triangle.
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A medical researcher needs 37 people to test the effectiveness of an experimental drug. If 101 people have volunteered for the test in how many ways can 37 people be selected
Answer:
The number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.
Step-by-step explanation:
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
[tex]{n\choose k}=\frac{n!}{k!\cdot (n-k)!}[/tex]
Compute the number of ways to select 37 people from 101 as follows:
[tex]{101\choose 37}=\frac{101!}{37!\cdot (101-37)!}[/tex]
[tex]=\frac{101!}{37!\times 64!}\\\\=\frac{101\times 100\times 99\times....64!}{37!\times 64!}\\\\=5397234129638871133346507775[/tex]
Thus, the number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.
You are starting a savings account for college. You put
$1,000 in as your starting balance. You earn simple
interest at 10% every year. You also must pay 30%
income tax on the interest earned annually. Calculate
the interest, balance, tax paid, and the overall balance
of the account after taxes. To break the code determine
the accounts overall balance for year 5 after taxes after
been paid.
Answer: $4,000
Step-by-step explanation:
If you have $1,000 dollars, and take ad ten percent ($100) interest you would get $1,100. But If you take away 30 percent ($300) away from 1,100 dollars you would get $800 dollars. The over all balance on the account after five years is, $4,000.
Hope this answer helps! :)
Which step is The correct answer?
What is the inverse of f(x)=(x+2)^3
Answer:
[tex]f^{-1} (x)=\sqrt[3]{x} -2[/tex]
Step-by-step explanation:
Answer:
f − 1 ( x ) = 3 √ x − 2
Which of the following is the quotient of the rational expressions shown
below?
2x^3/x+5 divided by x-5/3x-1
Answer:
6x^4 - 2x^3/ x^2 - 25
Step-by-step explanation:
On A
Which of these improper fractions is between 4 and 5? How do I know. 13/3 13/4 13/5 13/6
13/3?
I think it is but so you put 13/3 into a proper fraction so 4 1/3
The improper fraction that lies between 4 and 5 given the values in the option is 13/3.
What are the improper fractions that lie between 4 and 5?Improper fractions are numbers in which the numerator are greater than the denominator. An example is 13/4.
In order to determine the answer, the improper fraction would be converted to mixed fractions.
13 /3 = 4 1/3 13 / 4 = 3 1/4 13/5 = 2 2/5 13/6 = 2 1/3To learn more about fractions, please check: https://brainly.com/question/25779356
solve for x pls i need the answer asap
Answer: 162
Step-by-step explanation:
isolate the variable on the following problem. show your work.
11=c/5
OK SO I SOLVED ALL OF THIS: It costs a company $20 per box to make pocket-sized stuffed animals. The company also has a fixed manufacturing cost of $2300. The owners are trying to calculate their cost for making boxes of animals.
Function Rule: c(x) = 20b + 2300.
BUT I NEED HELP WITH THIS!!! Use your function rule to find out how much it costs to manufacture 300 boxes of stuffed animals? SHOW WORK
please help this is due today :(
Answer:
alr go to a therapist please
Step-by-step explanation:
What is Additive inverse of -5/-6
with solution
Answer:
it will be 6/5
............
Answer:
5/6
Step-by-step explanation:
-5/6 + 5/6 = 0
The additive inverse of a number makes the equations value 0.
Brainliest is much appreciated!
what is the vaule 7 to the 6 power
Answer:
117,649
Step-by-step explanation:
Good luck! <3
Answer:
7 to the 6th power is conventionally written as 76, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 7^6.
76 stands for the mathematical operation exponentiation of seven by the power of six.
As the exponent is a positive integer, exponentiation means a repeated multiplication:
The exponent of the number 7, 6, also called index or power, denotes how many times to multiply the base (7).
Thus, we can answer what is 7 to the 6th power as
7 to the power of 6 = 76 = 117649.
Need help help help help
Answer:18 6/7
Step-by-step explanation:
Answer:
the answer is
=18 6/7
Step-by-step explanation:
How many money did juwad earn in the first week
Answer:
no pic or nothing but here is a number 324
Step-by-step explanation:
Please graph the function on the given coordinate plane :) Will give brainliest to best answer TYSM <3
9514 1404 393
Answer:
see below
Step-by-step explanation:
Each piece of the graph is a horizontal line extending the length of the domain for that piece. The ≤ symbol means the corresponding line end will have a filled dot. The < symbol means the corresponding line end will have an open dot.
Answer:
usstatizdnnetfilesd95/75690717474315a12d328c49bbc6aae3png
Step-by-step explanation:
Go check my graph out! Remember to add https!
PLEASE HELP PLEASE HELP HELP !!!!!!!!!!!!
Solve -11t = 132. Describe any properties that you used to solve the equation and explain how you can check your answer.
Answer:
-11(-12)=132
Step-by-step explanation:
First divide 132 by negative 11 and get -12.
Then you connect -12 into the equation by using paraenthisies so its not a mess.
Last check your answer. -11 times -12 is equal to positive 132.
The value of 't' for the given expression will be -12.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression is -11t = 132. The value of t will be calculated as below;-
-11t = 132.
Divide the number -132 by -11 to get the value of t.
-11t = 132.
t = -132 / -11
t = -12
Therefore, the value of 't' for the given expression will be -12.
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Times 9/5 = -27 what is the answer
I hope I am right ...
Toy Emporium is having its annual sale. All items are marked with a 40 percent discount. Find the discounted price for each item and round to the nearest hundredth.
Motorized train for $9.99 =
Doll house for $12.99 =
Building blocks for $5.69 =
Answer:
All answer is same at it is
Step-by-step explanation:
Because there is no hundred place.
hope it helps
1/4x + 8
PLEASE HELP ME PLEASE OMLL
Answer:
X= -24
Step-by-step explanation:
1/4x+8 = 0
1/4x = -8
1/4x(4) = -8(4)
X = -24
:)
what is the equation of a line that passes through (-7, 3) and is perpendicular to -5/3x = 1/4y -8
Select all answers that apply
Y = 3/20x + 81/20
Y-3 = 3/20(x+7)
Y-3 = -20/3(x+7)
Y = -20/3x -32
3x -20y = -81
The answer can be anything thing that occurs during solving the problem or is the answer.
Answer:
The 1st, 2nd and 5th options are correct.
Step-by-step explanation:
The equation of a line can be written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
①Rewrite the given equation into the form of y=mx+c to find the gradient.
[tex]- \frac{5}{3} x = \frac{1}{4} y - 8 \\ \frac{1}{4} y = - \frac{5}{3} x + 8 \\ y = - \frac{20}{3} x + 32[/tex]
Thus, the gradient of the given equation is [tex] - \frac{20}{3} [/tex].
② Find gradient of unknown line.
The product of the gradients of perpendicular lines is -1.
Let m be the gradient of the unknown line.
[tex]- \frac{20}{3} m = - 1 \\ m = - 1 \div ( - \frac{20}{3} ) \\ m = - 1 \times ( - \frac{3}{20} ) \\ m = \frac{3}{20} [/tex]
③Substitute the value of m into the equation.
[tex]y = \frac{3}{20} x + c[/tex]
④ Find the value of c by substituting a pair of coordinates.
When x= -7, y= 3,
[tex]3 = \frac{3}{20} ( - 7) + c \\ 3 = - \frac{21}{20} + c \\ c = 3 + \frac{21}{20} \\ c = 4 \frac{1}{20}[/tex]
Thus, the equation of the line is [tex]y = \frac{3}{20} x + 4 \frac{1}{20} [/tex].
Thus, the 4th option is incorrect.
Writing c as an improper fraction,
[tex]y = \frac{3}{20}x + \frac{81}{20} [/tex]
Thus, the 1st option is correct.
-3 from both sides of the equation:
[tex]y - 3 = \frac{3}{20} x + \frac{21}{20} [/tex]
Factorise 3/20 out of the right hand side:
[tex]y - 3 = \frac{3}{20} (x + 7)[/tex]
Thus, the 2nd option is correct.
The 3rd option is incorrect as factorising -20/3 out would leave us with -0.0225 as the coefficient of x.
Let's look at the 5th option.
[tex]y = \frac{3}{20} x + 4 \frac{1}{20} [/tex]
×20 on both sides:
[tex]20y = 3x + 81[/tex]
-20y on both sides:
[tex]3x - 20y + 81 = 0[/tex]
-81 on both sides:
[tex]3x - 20y = - 81[/tex]
Thus, the 5th option is also correct.
For the graph x = 1 find the slope of a line that is perpendicular to it and the slope of a line parallel to it. Explain your
answer with two or more sentences.
There are 60 seconds in a minute and 60 minutes in an hour. How many seconds are in one hour?
Answer:
3,600 seconds
Step-by-step explanation:
multipy how many hours by 3,600
(so 1 times 3,600)
Answer:
3,600 seconds
Step-by-step explanation:
[tex]\frac{60 seconds}{1 minute} (\frac{60 minutes}{1 hour} )=\frac{3,600 seconds}{1 hour}[/tex]
evaluate the function at each specified
value of the independent variable and simplify
Answer:
Evaluating the function is just replacing the "x" (or the "t" in the second case) by the value that we want:
1) q(x) = 1/(x^2 - 9)
a) q(0) = 1/(0^2 - 9) = 1/(-9) = - 1/9
b) q(3) = 1/(3^2 - 9) = 1/(9 - 9) = 1/0 = indetermined, we could think this as:
[tex]\lim_{x \to \ 3} q(x) = infinity[/tex]
c) q(y + 3) = 1/( (y + 3)^2 - 9) = 1/(y^2 + 6*y + 9 - 9) = 1/(y^2 + 6*y)
2) q(t) = (2*t^2 + 3)/t^2
a) q(2) = (2*2^2 + 3)/2^2 = (2*4 + 3)/4 = 11/4
b) q(0) = (2*0^2 + 3)/0^2 = 3/0
Again, we can not divide by zero, this is simmilar to the case 1.b
c) q(-x) = (2*(-x)^2 + 3)/(-x)^2 = (2*x^2 + 3)/x^2
where do I put this? -A=
Answer:
between -6 and -4 (-5), because -A is opposite from A