Answer:
a=10/30
Step-by-step explanation:
because you can simplify it to 2/15
The sum of a first and second number is 130. If the second number is 20 less than four times the first number, find the two numbers. Let x represent the first number and y represent the second number.
Write the System of Equations used to solve this problem.
The system of equations used to solve this problem are: x+y=130 and
y=20-4x. For this system x=-110/3 and y=500/3.
System of Linear Equations
System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.
You should convert the text into a math expression:
x+y=130 (1)
y=20-4x (2)
Thus, you should replace the value of y given in equation 2, into equation 1. The,
x+20-4x=130
-3x=130-20
3x=-110
x= - 110/3
Therefore, y will be:
y=20-4*(- 110/3 )
y=20+440/3
y=60/3 +440/3
y=500/3
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One number is four times the other number. The larger number is also 87 more than the smaller number.
Find the larger number.
Answer:
116Step-by-step explanation:
Let numbers be x and y
Then we have equations:
x = 4yx = y + 87Comparing
4y = y + 874y - y = 873y = 87y = 87/3y = 29Then, the larger number is
x = 4*29 = 116After simplifying the following expression, the coefficient of the m^2 term will be ______.
6mn^2 + 3m^2 + 16m^2 - 6m^2 - 5nm^2
The solution is ______
Answers:
After simplifying the following expression, the coefficient of the m^2 term will be 13
The solution is 13m^2 + 6mn^2 - 5nm^2
====================================================
Explanation:
Highlight all the terms that have m^2 in them and nothing else (so that means no variables of n or n^2)
You should highlight 3m^2, 16m^2 and -6m^2 as the three terms.
The coefficients 3, 16 and -6 combine to 3+16-6 = 13
Meaning that 3m^2+16m^2-6m^2 = 13m^2
----------------
There are no other like terms that pair up.
The 6mn^2 and -5nm^2 are different because the exponent 2 is over a different letter each time. Put another way: mn^2 is not the same as nm^2
So we cannot combine 6mn^2-5nm^2. We leave it as is.
Overall, the entire expression simplifies to 13m^2 + 6mn^2 - 5nm^2
How do you solve these angles again?
Answer:
(2x+2)
=98
(x+34)
=82
Step-by-step explanation:
a straight line adds up to 180
(2x+2)+(x+34)=180
x+2+x+34=180
(2x+x)+(2+34)=180(Combine Like Terms)
3x+36=180
3x+36=180
Step 2: Subtract 36 from both sides.
3x+36−36=180−36
3x=144
Step 3: Divide both sides by 3.
3x/3=144/3
x=48
Now you have your x just substitute it in
(2x+2)
=98
(x+34)
=82
If answers not right i am sorry but i tried
The following two-way table shows the responses from a group of people, categorized by age-group, when asked about their favorite types of vacations.
Which of the following statements is not supported by the table?
1.)More people chose relaxation than any other vacation type.
2.)Each vacation type was selected by the same number of people in the under-21 age-group.
3.)In the 21 to 35 age-group, nature was chosen by the least number of people.
4.)Of all the vacation types, nature was chosen by the least number of people.
5.)The percentage of people that chose relaxation was equal for each age-group.
Answer:
The percentage of people that chose relaxation was equal for each age-group.
Step-by-step explanation:
Answer:
5 or E- The percentage of people that chose relaxation was equal for each age group
Step-by-step explanation:
You can use the process of elimination where every other answer choice is correct except for the last one. Otherwise, the percentages for each group of age group are all different as shown on the margins, which is why it is incorrect. Therefore, that is the correct answer for this problem.
Explain to me in words how you would find the slope of this line and explain how you got your answer
Answer: m= 5/3
Step-by-step explanation: the point were at (-1,2) (-4,-3)
m= y2-y1/ x2- x1
m= -3-2/ -4 (-1)
m= -5/-3
m= 5/3
( hope this helps)There are 12 more apples than oranges in the basket of 36 apples and oranges. How
many apples are there in the basket?
Step-by-step explanation:
Required Answer:-Total number of fruits=36Let
the number of oranges =x
The number of apples=x+12
ATQ[tex]{:}\leadsto [/tex][tex]\sf x+x+12=36 [/tex]
[tex]{:}\leadsto [/tex][tex]\sf 2x+12=36 [/tex]
[tex]{:}\leadsto [/tex][tex]\sf 2x=36-12 [/tex]
[tex]{:}\leadsto [/tex][tex]\sf 2x=24 [/tex]
[tex]{:}\leadsto [/tex][tex]\sf x={\dfrac {24}{2}}[/tex]
[tex]{:}\leadsto [/tex][tex]\sf x=12 [/tex]
Number of Apples =12+12=24Answer:
24 apples
Step-by-step explanation:
apples = x
oranges = y
y+12 = x
x+y = 36
y+y+12 = 36
2y = 24
y = 12
x = 24
PLS GIVE BRAINLIEST
what is.
m + 0.6 = 2.6
Answer:
m is 2 because 2.6 - 0.6 = 2 . so 2 is the answer
10 points Four cookies cost $14. At this rate. how much will 10 cookies cost?
Answer:$35
Step-by-step explanation:well each cookie cost $3.50 so for $14 there are only 4 cookies so for ten it will cost $35 cause 14+14=28 and you need to 2 more cookies so you will add 2 more which is $7 and $7+$28=$35.Hope I’m right
Write the null and alternative hypotheses in words and then symbols for each of the following situations.
a. A tutoring company would like to understand if most students tend to improve their grades (or not) after they use their services. They sample 200 of the students who used their service in the past year and ask them if their grades have improved or declined from the previous year.
b. Employers at a firm are worried about the effect of March Madness, a basketball championship held each spring in the US, on employee productivity. They estimate that on a regular business day employees spend on average 15 minutes of company time checking personal email, making personal phone calls, etc. They also collect data on how much company time employees spend on such non-business activities during March Madness. They want to determine if these data provide convincing evidence that employee productivity changed during March Madness.
Answer:
A) the hypothesis in words and symbols are;
Null hypothesis: Grades have not improved for most students
Alternative hypothesis: Grades have improved for most students
Null hypothesis; H0: p^ = 0.5
Alternative hypothesis; Ha: p^ > 0.5
B) Null hypothesis: During march madness, employees averaged 15 minutes per day on non - business activities
Alternative hypothesis: During march madness, employees averaged more than 15 minutes per day on non-business activities
Null hypothesis; H0: μ = 15
Alternative hypothesis; Ha: μ > 15
Step-by-step explanation:
A) We are told that they sampled 200 of the students who used their service in the past year and ask them if their grades have improved or declined from the previous year. Thus, there will be a 50% chance of success for their grades to have improved and a 50% chance for it to remain the same.
Thus; p^ = 0.5
So the hypothesis in words and symbols are;
Null hypothesis: Grades have not improved for most students
Alternative hypothesis: Grades have improved for most students
Null hypothesis; H0: p = 0.5
Alternative hypothesis; Ha: p > 0.5
B) We are told that they estimate that on a regular business day employees spend on average 15 minutes of company time checking personal email, making personal phone calls, etc
Also, They also collect data on how much company time employees spend on such non-business activities during March Madness.
The hypotheses in words and symbols are;
Null hypothesis: During march madness, employees averaged 15 minutes per day on non - business activities
Alternative hypothesis: During march madness, employees averaged more than 15 minutes per day on non-business activities
Null hypothesis; H0: μ = 15
Alternative hypothesis; Ha: μ > 15
The Null hypothesis is the initial truth which we would like to counter using the alternative hypothesis. The Null and Alternative hypothesis for the given situation are :
1.)
Null hypothesis : There have been no change in the grade obtained by the students.
Alternative hypothesis : The grade obtained by the students have improved as students now attain better grades after attending the tutoring class
Using symbol :
[tex] H_{0} : \hat {p} = 0.5 [/tex][tex] H_{1} : \hat {p} > 0.5 [/tex]2.)
Null hypothesis : There is no change in the productivity of employees during the period as the amount of time spent on non-business activities remains the same.
Alternative hypothesis : There is a change in productivity has employees spend more than 15 minutes engaging on non-business activities.
Using symbol :
[tex] H_{0} : μ ≤ 15 [/tex][tex] H_{1} : μ > 15 [/tex]Learn more : https://brainly.com/question/16819441
Natalie and Phil ran for 6th grade class president. The ratio of votes for Natalie to votes for Phil was 4:3.
Which statement is true?
For every vote Phil received, Natalie received 4 votes.
For every vote Phil received, Natalie received 4 votes.
For every vote Phil received, Natalie received 3 votes.
For every vote Phil received, Natalie received 3 votes.
For every 4 votes Natalie received, Phil received 7 votes.
For every 4 votes Natalie received, Phil received 7 votes.
For every 4 votes Natalie received, Phil received 3 votes.
Answer:
Por cada 4 votos que recibió Natalie, Phil recibió 3 votos.
Step-by-step explanation:
What is the range of the function f(x) = 12 − 3x for the domain {-4, -2, 0, 2, 4}?
Answer:
{24, 18, 12, 6, 0} is the range of the above function
Step-by-step explanation:
solution:
let, x= -4
f(-2) = 12-3*(-2)
= 12+12
=24
let,x= -2
f(-2) = 12-3*(-2)
=12+6
18
let,x =0
f(0)= 12-3*0
=12-0
=12
let,x=2
f(2) = 12-3*2
=12-6
=6
let,x=4
f(4) = 12-3*4
=12-12
=0
hellpppppp please I will give brainliest
Answer:
I think the answer is y=2x-2
Hope it is correct! The x is positive because the angle is pointing to the right, and the -2 came from the position of the line.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
plsss helpppp 6x^2+4x-42
Answer:
Step-by-step explanation:
6x^2+4x-42
2(3x^2+2x-21)=0
3x^2+2x-21=0
3x^2+(9-7)x-21=0
3x^2+9x-7x-21=0
3x(X+3)-7(X+3)=0
(3X-7)(X+3)=0
So Answer is (3x-7)(X+3)
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer:
195
Step-by-step explanation:
Divide 91/7 which is 13 and multiply that by 15 to get the value of y when x is 15
Three times a number is at most negative six.
3x5-6
O 3x2-6
O 3x<-6
O 3x>-6
Answer:
3x ≤ - 6
Step-by-step explanation:
let the number be x.
three times of it would be 3x
since 3x is at most -6, 3x must be less than or equal to -6.
hence, 3x ≤ -6
however, your option seems to not have any sign that has equal to so perhaps the nearest answer would be 3x < -6
Simplify 7x(2-x)+x^3+2(x^2-6x)
The answer fam is........x^3 - 5x^2 + 2x
I need help
With this please
Answer:
Ima be straight up with you im 1 awnser away from getting 50 points but ill find the answer for ya
Step-by-step explanation:
x-intercept=? y-intercept=? What is the slope?
Answer: x=1 y=-3
just look where the line touches mane
Triangle ABC is a right triangle
The length of BC is 5 units.
The area of ABC is
square units.
10
Answer:
the height of the triangle is 4
Step-by-step explanation:
2a/b
2(10/5)
2*2
=4
Answer:
The answer is 50.
Step-by-step explanation:
According to Ohm’s law, voltage varies directly with current. A cellphone uses an 8-volt battery and has an electric current of 1.5 amps. What is the constant of proportionality?
5.3 ohms
6.5 ohms
9.5 ohms
12.0 ohms
Answer:
5.3
Step-by-step explanation:
the value K in the formula 8volt divided by 1.5 amps is = 5.3 ohms... ur welcome!!
pls mark this as brainless
An airplane flies at an elevation of 500 feet above sea level. A whale swims the same distance below sea level, what number represents the elevation of a whale?
Answer:
500 below because you just do the opposite
Which set of statements explains how to plot a point at the location
(-33.-2)
Start at the origin. Move 3 units right because the x-coordinate is - 3
3.
-3-3
is between 3 and 4. Move 2 units dow
A because the y-coordinate is -2.
Start at the origin. Move 3 units down because the x-coordinate is 3.1.-3 is between -3 and -4. Move 2 units
left because the y-coordinate is -2.
O Start at the origin. Move 3 units down because the x-coordinate is -3
-3.7.-3
2 is between -3 and -4. Move 2 units
right because the y-coordinate is -2.
Start at the origin. Move 3 units left because the x-coordinate is -3
-35-3 is between -3 and -4. Move 2 units
down because the y-coordinate is -2.
Answer:
last one or d
Step-by-step explanation:
Lets test these statements. 1 is incorrect. 2 is incorrect 3 is incorrect 4 is correct.
The answer is the last one
PLEASE HURRY What is the slope of the line?
Group of answer choices
y = -3/4x - 1
y = 4/3x - 1
y = -3/4x + 1
y = -4/3x + 1
Which expression is equivalent to 2cos^2(x/2)- cos(x)?
Edge 2020
Given:
The expression is
[tex]2\cos^2(\dfrac{x}{2})-\cos (x)[/tex]
To find:
The expression which is equivalent to the given expression.
Solution:
We have,
[tex]2\cos^2(\dfrac{x}{2})-\cos (x)[/tex]
We know that,
[tex]\cos x=2\cos^2 (\dfrac{x}{2})-1[/tex]
Using this formula, the given expression can be written as
[tex]2\cos^2(\dfrac{x}{2})-\left(2\cos^2(\dfrac{x}{2})-1\right)[/tex]
[tex]=2\cos^2(\dfrac{x}{2})-2\cos^2(\dfrac{x}{2})+1[/tex]
[tex]=1[/tex]
Therefore, the given expression is equivalent to 1.
Answer:
B
Step-by-step explanation:
What is the radius of a circle whose equation is x2+y2−10x+6y+18=0?
2 units
4 units
8 units
16 units
Answer:
4 Units
Step-by-step explanation:
Edge 2021
Completing the squares and comparing with an standard equation, it is found that the radius of the circle is of 4 units.
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this problem, the equation is:
x² + y² - 10x + 6y = -18
Then, we start the steps to complete the squares, as follows:
x² - 10x + y² + 6y = -18
(x - 5)² + (y + 3)² = -18 + 25 + 9
(x - 5)² + (y + 3)² = 16
Then, the radius is found as follows:
r² = 16 -> r = 4 units.
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Pz Answer for Brainliest
Answer:
thank you for free point and have a nice day
Answer:
Where is the question
Step-by-step explanation:
What are some important things I should put in my notes about ratios(In 6th grade so nothing to high up I wouldn't know about)
Answer:
some tips
Step-by-step explanation:
- Ratios can include fraction forms, ex; 5/3. using the word 'to', ex; 5 to 3, and using the colon symbol. 5:3. Do not put ratios in number order like least to greatest values, ever, because the order they come in matter. Make sure to always simplify if possible. ex; 5:25 = 1:5 . thats it, if you get any of the points down then you got it.
What is the value of r2s for r=10 and s=2?
Hey there!
10(2)(2) 10(2) = 2020(2) = 40Thus, your answer is: 40Good luck on your assignment and enjoy your day!
~LoveYourselfFirst
Write an absolute value equation that has the given solution of -2 and 10.
Answer:
x² - 8x - 20
Step-by-step explanation:
Given that 2 values of x
x = -2 & 10, then
x + 2 = 0
x - 10 = 0, we enclose them in s bracket, and then proceed to expanding them both, by so doing, we have
(x + 2) (x - 10) =
x² - 10x + 2x - 20 = on collecting like terms, we have something in this mould
x² - 8x - 20
Thus the equation that arises given two numbers -2 & 10 is
x² - 8x - 20 = 0