How can you express (15 + 30) as a multiple of a sum of whole numbers with no common factor?
A.
2 × (7.5 + 15)
B.
3 × (5 + 10)
C.
5 × (3 + 6)
D.
15 × (1 + 2)
Answers
Answer:b because the equation is right.
Step-by-step explanation:
Step-by-step explanation:
D.
15 × (1 + 2) is you're answer
Related Questions
Jose and Aubree are reading the same book. At the beginning of the month, Jose was on page 5 and Aubree was on page 25. Jose will read 14 pages per day and Aubree will read 10 pages per day. Let
J
J represent the page of the book that Jose is on at the end of
t
t days into the month, and let
A
A represent the page of the book that Aubree is on at the end of
t
t days into the month. Write an equation for each situation, in terms of
t
,
t, and determine what page Jose and Aubree will be on on the day they are both on the same page.
Answers
Answer:
Step-by-step explanation:
Let J(t) represent Juan's equation and A(t) represent Aubree's equation. If Juan starts this venture on page 5, even if he didn't read any more days at all, when t = 0, he would still have read those 5 pages. Because he reads 14 pages per day, then he reads 14t and t represents the number of days gone by. His equation then is
J(t) = 14t + 5
Likewise, for Aubree, even if she decides not to read any more past the original 25 pages she started with, she would still have read those 25 pages. Her equation then would be
A(t) = 10t + 25
We need to know how many days will go by before they are both on the same page, so set the equations equal to each other and solve for t:
14t + 5 = 10t + 25 and
4t = 20 so
t = 5
After 5 days they will have both read the same number of pages.
A 42-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 3 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces.
Answers
Answer:
The first piece has a length of 7 inches, the second has a length of 14 inches and the third has a length of 21 inches.
Step-by-step explanation:
x represents the length of the first piece.
Hence, the second piece has a length of 2x and the third piece has a length of 3x.
Hence, x + 2x + 3x = 42 inches.
x + 2x + 3x = 42 inches
6x = 42 inches
x = 7 inches
Hence, the first piece has a length of 7 inches, the second has a length of 14 inches and the third has a length of 21 inches.
Hope this helped!
Nicole is half as old as Donald. The sum of their ages is 72.
How old is Nicole, in years?
Answers
Answer:
24
Step-by-step explanation:
The sum of the their ages is 72. 48 divided by 2 is 24. 48 plus 24 is 72
Based on the sum of their ages and their age relationship, Nicole can be said to be 24 years.
Expression of Nicole's ageNicole is half as old as Donald which means that Donald is twice as old as Nicole. Assuming Nicole is aged x years, the equation would be:
Nicole age + Daniel age = 72
x + 2x = 72
Nicole's ageSolving would give:
x + 2x = 72
3x = 72
x = 72 / 3
x = 24
In conclusion, Nicole is 24.
Find out more on age relationships at https://brainly.com/question/24859453.
Mias family arrived at their destination 6:00 pm after a 2 hour trip on a plane
Answers
what is the first term of an infinitely decreasing G.P whose sum is 16 and the second term is -0.5?
Answers
Answer:
8 + 6√2Step-by-step explanation:
Sum of infinite GP is:
a/(1 - r) = 16 andThe second term is:
ar = -0.5Eliminate r in the system:
a/(1-r) = 16 ⇒ a = 16 - 16r ⇒ 16r = 16 - a ⇒ r = 1 - a/16ar = -0.5 ⇒ r = -0.5/aCompare the two equations and solve for a:
1 - a/16 = -0.5/aMultiply both sides by 16a:
16a - a² = -8a² - 16a = 8 a² - 16a + 64 = 72(a - 8)² = 72a - 8 = ±√72a = 8 ± √72a = 8 + 6√2 a = 8 - 6√2, excluded as it is negative and makes common difference positive and so an increasing functiona = 8 - 6√2 = -0.4852 ⇒ r = -0.5/a = -0.5/-0.4852 = 1.03 > 1
Please Help: Adelle solved the equation 4x/7-6= -20 as shown. Fill in the correct justification for each step. Will Mark Brainliest. Only answer if you are extremely 100%. Have to pass math. No Plagiarism Please.
Answers
Answer:
1. shift -6 to the right side and plus with-20
2.shift 7 to other side and it will be multiply
3. 4x need to divide by 4 to get the value of x
The correct justification are 1) Add 6 on both side, 2) multiply by 7 on both side. 3) divide by 4 on both sides.
Adelle solved the equation 4x/7-6= -20 as shown. Correct justification for each step to be filled.
In mathematics simplification meaning to the step by step solution.
Here,
4x/7 = -14 ⇒ Addition of 6 both side.
4x = -98 ⇒ Multifaction by 7 on both sides
x = -24.5 ⇒ Division by 4 on both sides
Thus, the correct justification are 1) Add 6 on both side, 2) multiply by 7 on both sides. 3) divide by 4 on both sides.
Learn more about simplification here:
https://brainly.com/question/17579585
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Which division problem does the diagram below best illustrate?
Answers
Collectively, there are 32 squares, separated into groups of 4. When you divide 32 by 4, you’re left with 8 which is reflected by the 8 blue ovals
Vincent's score is -35. naris score is 3/7ths of Vincent's score. how many points do they score in all?
Answers
Answer:
Step-by-step e
-35
Olivia drinks 64 ounces of water every day. At breakfast, she drinks 16 ounces. What percentage of water does she drink at breakfast?
Answers
Answer:
25%
Step-by-step explanation:
16/64 = .25 x 100 = 25%
HELP Will mark Brainliest!! Ignore if you don't know, Geometry problem: Point D is the incenter of triangleABC, if DE=x^2 and DF= 20-8x, find each of the following
Answers
Answer:
X=2
DG=4
Step-by-step explanation:
Answer:
X=2
DE=4
THE ANSWER IS UPPP
Does anyone know the answers to I-ready ( Math Lvl F: Understanding Algerbretic Expressions)
Thank You
Answers
Answer:
B 10x+5
Step-by-step explanation:
:)
Timothy went to a baseball game. After the game, he wanted to ride the bus home. The red line and the blue line buses both stop at the stadium.
● A red line and a blue line bus both left the stadium at 4:00 p.m.
● Red line buses were scheduled to leave the stadium every 6 minutes.
● Blue line buses were scheduled to leave the stadium every 8 minutes.
If the buses run on schedule, when is the next time a red line and a blue line bus will leave together? Show your work.
Answers
Answer:
At 4:24 p.m.Step-by-step explanation:
We need to find the lowest number that is divisible by both 6 and 8.
LCM(6, 8) = 24So, next time is after 24 minutes and every 24 minutes after that.
4: 00 p.m. + 24 min = 4:24 p.m.Answer:
Solution :-For finding next time a red line and a blue line bus will leave together we will find LCM of 6 and 8.
LCM = (6,8) = 24
Now,
Let's find add the time to LCM
[tex] \tt \: 4 : 00 + 0 : 24 = 4 : 24[/tex]
anser fast 2.3 x (−1.2)= what for 79 points
Answers
Step-by-step explanation:
2.3 * (-1.2)
= -2.76.
Hence the answer is -2.76.
Answer:
[tex]\Large \boxed{\sf -2.76}[/tex]
Step-by-step explanation:
Solve by using the substitution method 3x + y = 13 5x - 2y= 18
Answers
Y=x+1, xy+2x=0
Help please
Answers
Answer:
x = 0,-3
y = 1,-2
Step-by-step explanation:
We can substitute x+1 for x in the second equation
x(x+1) + 2x = 0
x^2 + 3x = 0
x(x+3) = 0
x = 0,-3
y = 1,-2
A road has a grade of 28.4%. This means that the road rises 28.4 ft over a horizontal distance of 100 ft. What angle does the hill make with a horizontal line? ROUND TO THE NEAREST DEGREE!
Please help!!!!!
Answers
The angle would be the tangent.
Tangent ( angle) = opposite leg/ adjacent leg
Tangent angle = 28.4/100
Angle = tan^-1(28.4/100)
Angle = 16 degrees
Find x?
In 3x - In(x - 4) = ln(2x - 1) +ln3
Answers
Answer:
[tex]x = \displaystyle \frac{5 + \sqrt{17}}{2}[/tex].
Step-by-step explanation:
Because [tex]3\, x[/tex] is found in the input to a logarithm function in the original equation, it must be true that [tex]3\, x > 0[/tex]. Therefore, [tex]x > 0[/tex].
Similarly, because [tex](x - 4)[/tex] and [tex](2\, x - 1)[/tex] are two other inputs to the logarithm function in the original equation, they should also be positive. Therefore, [tex]x > 4[/tex].
Let [tex]a[/tex] and [tex]b[/tex] represent two positive numbers (that is: [tex]a > 0[/tex] and [tex]b > 0[/tex].) The following are two properties of logarithm:
[tex]\displaystyle \ln (a) + \ln(b) = \ln\left(a \cdot b\right)[/tex].
[tex]\displaystyle \ln (a) - \ln(b) = \ln\left(\frac{a}{b}\right)[/tex].
Apply these two properties to rewrite the original equation.
Left-hand side of this equation:
[tex]\begin{aligned}&\ln(3\, x) - \ln(x - 4)= \ln\left(\frac{3\, x}{x -4}\right)\end{aligned}[/tex]
Right-hand side of this equation:
[tex]\ln(2\, x- 1) + \ln(3) = \ln\left(3 \left(2\, x - 1\right)\right)[/tex].
Equate these two expressions:
[tex]\begin{aligned}\ln\left(\frac{3\, x}{x -4}\right) = \ln(3(2\, x - 1))\end{aligned}[/tex].
The natural logarithm function [tex]\ln[/tex] is one-to-one for all positive inputs. Therefore, for the equality [tex]\begin{aligned}\ln\left(\frac{3\, x}{x -4}\right) = \ln(3(2\, x - 1))\end{aligned}[/tex] to hold, the two inputs to the logarithm function have to be equal and positive. That is:
[tex]\displaystyle \frac{3\ x}{x - 4} = 3\, (2\, x - 1)[/tex].
Simplify and solve this equation for [tex]x[/tex]:
[tex]x^2 - 5\, x + 2 = 0[/tex].
There are two real (but not rational) solutions to this quadratic equation: [tex]\displaystyle \frac{5 + \sqrt{17}}{2}[/tex] and [tex]\displaystyle \frac{5 - \sqrt{17}}{2}[/tex].
However, the second solution, [tex]\displaystyle \frac{5 - \sqrt{17}}{2}[/tex], is not suitable. The reason is that if [tex]x = \displaystyle \frac{5 - \sqrt{17}}{2}[/tex], then [tex](x - 4)[/tex], one of the inputs to the logarithm function in the original equation, would be smaller than zero. That is not acceptable because the inputs to logarithm functions should be greater than zero.
The only solution that satisfies the requirements would be [tex]\displaystyle \frac{5 + \sqrt{17}}{2}[/tex].
Therefore, [tex]x = \displaystyle \frac{5 + \sqrt{17}}{2}[/tex].
A restaurant chain with multiple branches would like to measure the effectiveness of a customer skills training program for its employees. A random sample of 30 branches is chosen, and the daily sales for these branches are recorded. All the employees at these branches then undergo a customer skills training program, and shortly thereafter the daily sales at these 30 branches are again recorded. (a) Which type of test should the company use to determine if the customer skills program helped increase sales? a. One sample t-test b. Paired t-test c. Chi-squared test of independence d. One proportion z-test OTwo sample t-test (independent means) (b) A Type II error in this context means the company finds evidence of an increase in sales, when in reality there is in sales.
Answers
Answer:
A) Option B: Paired t-test
B) The company finds "SUFFICIENT" evidence of an increase in sales, when in reality there is "A DECREASE" in sales
Step-by-step explanation:
A) Let's look at the options.
a) One sample t-test: This t-test is a statistical hypothesis test that's used to find out whether an unknown population mean has a different value from the sample mean.
b) Paired t-test: This is used to compare mean at different times from the same group.
c) Chi-squared test of independence: This test is one that is used to determine whether the associated variables are related or independent.
d) One proportion z-test: This test is used to compare an observed proportion to that of a theoretical proportion.
e) Two sample t-test: This is used to test if the unknown population mean that is gotten from two groups are equal or not.
Now, from the question, we see that A random sample of 30 branches is chosen, and the daily sales for these branches are recorded.
Later on, All the employees at these branches then undergo a customer skills training program, and shortly thereafter the daily sales at these 30 branches are again recorded.
This means that we are trying to compare the mean within the same group but at different times. This corresponds to the definition of Paired t-test.
B) A Type II error occurs when we accept a null hypothesis that is actually false.
The type II error in this case is that:
The company finds "SUFFICIENT" evidence of an increase in sales, when in reality there is "A DECREASE" in sales
What are the x-intercepts for the function f(x)= x²+2x-15
Answers
[tex] {x}^{2} + 2x - 15 = 0 \\ (x + 5)(x - 3) = 0 \\ x = - 5 \\ x = 3[/tex]
Therefore the answer is D.
Round 72.807 to the nearest tenth.
72.81
70
72.9
72.8
Answers
Please give brainliest❤️
Use these abbreviations for the properties of real numbers, and complete the flow diagram.
C. for the commutative property of addition
Cx for the commutative property of multiplication
2
Suggest e
A. for the associative property of addition
A. for the associative property of multiplication
Answers
Answer:
c and a
Step-by-step explanation:
Skylar owns a food truck that sells tacos and burritos. She sells each taco for $3 and each burrito for $6. Yesterday Skylar made a total of $600 in revenue from selling a total of 120 tacos and burritos. Graphically solve a system of equations in order to determine the number of tacos sold, x,x, and the number of burritos sold, yy.
Answers
Answer:
She sold 40 tacos and 80 burritos.
Step-by-step explanation:
Let's define the variables:
x = number of tacos sold
y = number of burritos sold
if Skylar sold x tacos, and each taco costs $3, then the total amount she gets is:
$3*x
And if she sold y burritos, and each one costs $6, then the total amount she gets is:
$6*y
combining these two, she has:
$3*x + $6*y
We know that she made a total revenue of $600, then we have the equation:
$3*x + $6*y = $600
We also know that in total, she sold 120 tacos and burritos, then:
x + y = 120
We have the system of equations:
$3*x + $6*y = $600
x + y = 120
To solve this, we need to start by isolating one of the variables in one of the equations, i will isolate x in the second equation:
x = 120 - y
Now we can replace that in the other equation to get
$3*(120 - y) + $6*y = $600
-$3*y + $360 + $6*y = $600
($6 - $3)*y + $360 = $600
$3*y + $360 = $600
$3*y = $600 - $360 = $240
y = $240/$3 = 80
She sold 80 burritos, and we know that:
x + y = 120
x + 80 = 120
x = 120 - 80 = 40
She sold 40 tacos.
X= -2,-1,0,1
Y= 4,1,0,1
Answers
Answer:
12x + 3y = 15
Step-by-step explanation:
Yoda Soda is the intergalactic party drink that will have all your friends saying, "Mmmmmm, good this is!"
You are throwing a party, and you need 555 liters of Yoda Soda for every 121212 guests.
If you have 363636 guests, how many liters of Yoda Soda do you need?
liters
Answers
Answer:
15 litres
Step-by-step explanation:
Given
5 litres = 12 guests
Required
Determine the number of litres for 36 guests
Represent the required number of litres with L.
So, we have the following relationship:
[tex]5\ litres = 12\ guests[/tex]
[tex]L = 36\ guests[/tex]
Cross Multiply
[tex]L * 12\ guests = 5\ litres * 36\ guests[/tex]
[tex]L * 12= 5\ litres * 36[/tex]
[tex]12L = 180\ litres[/tex]
Solve for L
[tex]L = \frac{180\ litres}{12}[/tex]
[tex]L =15\ litres[/tex]
Hence, 15 litres are needed
Describe a real-world example on how coordinate geometry is/can be used in the real-world. Then, create a sample question based on your example for the rest of your classmates to solve.
Answers
Answer:
Step-by-step explanation:
I think jhonnu
(sinA÷secA)÷(cosA÷sinA) =tan A
Answers
(Sin A/ secA) × ( sec A / cos A) = Sin A / cos A = tan A
Question should be cos A ÷ sec A
Which angle is an exterior angle of the triangle?
Triangle L M N. Angle L is 1, angle M is 2, angle N is 3. Side M N extends to form angle 4.
A. 1
B. 2
C. 3
D. 4
Answer quick pls
Answers
Answer:
D
Step-by-step explanation:
Because it is on the outside
Answer:
its c becuase i did the test and got it correctomonzo
Step-by-step explanation:
Suppose a binomial trial has a probability of success of 0.3, and 500 trials are performed. What is the standard deviation of the possible outcomes? Round
your answer to two decimal places.
O A. 10.25
OB. 8.94
O c. 6.71
D. 10.95
Answers
The standard deviation of the possible outcomes is to be considered as the 10.25.
Calculation of the standard deviation:Since there is a binomial trial has a probability of success of 0.3, and 500 trials are performed.
So here
q = 1 - P
= 1 - 0.3
=0.7
Now the standard devation be like
[tex]= \sqrt{500\times 0.3 \times 0.7}[/tex]
= 10.25
hence, The standard deviation of the possible outcomes is to be considered as the 10.25.
Learn more about standard deviation here: https://brainly.com/question/15699543
Hailey is 2 years younger than her sister. If Hailey is h years old, which equation represents the age of her sister, s?
Answers
Answer:
S=H+2
Step-by-step explanation:
OK, so hailey is the variable H. And she is 2 years younger than her sister.
What is the age of her sister?
So we know it has to be, hailey's age + something? = age of her sister.
what is that +something? it's the number "2 years younger" so hailey's age; which is h, plus 2 is equal to her sister's age.
H+2=S
OK, why do we need to add 2? instead of minus two? Because hailey is 2 years younger than her sister, so you want hailey's age. If you were to minus 2, you'd be thinking that hailey is OLDER than her sister. Because if you want to her sister's age, you would have to SUBTRACT 2 because you are OLDER than her. So if you are younger than the sister, you would add to get your sister's age.
Answer:
S=H+2
Step-by-step explanation:
I got it right and that all that matters.
It took Davina 45 minutes to clean her room. How many seconds did it take her
Answers
Answer:
2700
Step-by-step explanation:
i think