This figure shows two identically sized posters that need to be hung on a
10-foot-wide wall.
How far apart, in feet, should each poster be for x to be the same distance
at all three places
Answers
Answer: 2.5 ft
Step-by-step explanation: Add 1 1/4 + 1 1/4 = 2.5
Subtract 2.5 ft from 10 ft = 7.5 ft divided by 3 places = 2.5 ft
To check answer: 2.5ft + 2.5ft + 2.5ft + 1 1/4ft + 1 1/4ft = 10 ft
The distance between the two identically sized posters should be 2,5 ft at all three places.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
Let x be the distance between the two identically sized posters.
Add 1 1/4 + 1 1/4 = 2.5
The total length of the given wall is 10 ft.
here, the equation formed as
x + x +x + 2.5 = 10
3x + 2.5 = 10
3x = 10 - 2.5
3x = 7.5
x = 2.5
So, The distance between the two identically sized posters should be 2,5 ft at all three places.
Learn more about linear equations;
https://brainly.com/question/27056029
Related Questions
please help me i dont understand thank you!!
Answers
Answer:
32 units squared
Step-by-step explanation:
Split up the figure into easy to find area parts. So, theres 2 triangles, and in the middle of those, you can make a square. And that would make the top part a large triangle! Now find the area of these
Large triangle: 1/2 (4)(10) = 20
Smallest triangle: 1/2(2)(2) = 2
Medium triangle: 1/2(6)(2) = 6
Square: 2*2 = 4
Now add them all up! 20+2+6+4 = 32 units squared!
Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function h(t)= -16t^2+96t gives the height, in feet, of the soccer ball after t seconds. The function is shown in the graph below. What are the intercepts of the function and what do they mean?
Answers
Answer:
(d)
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 96t[/tex]
Required
The intercepts
The x intercepts are where the graph crosses x axis.
From the attached plot, they are:
[tex]x = (0,0)[/tex] and [tex]x = (6,0)[/tex]
These represent the start and end of the ball that is launched.
Hence, (d) is true
Over the past year, the vice president of human resources at a large medical center conducted a series of three-month workshops aimed at increasing worker motivation and performance. As a check of effectiveness, she selected 7 employees from the personnel files and recorded their most recent annual performance ratings along with the ratings attained prior to attending the workshops. At a 5% level of significance, before after. is there evidence that the workshops increased performance ratings?
Take the differences =
Before After
72 59
74 72
62 89
74 67
78 81
88 92
71 81
Take the differences before-after. Order the data smallest to largest, ignoring the negative signs. Rank the data from 1 to 7
Observation 5 had the values Before = 81 and After 78. What is the difference before - after of these values?
What rank will observation 5 receive?
Add up all the ranks that have a negative difference, T . What is the value of T?
Add up all the ranks that have a positive difference,, T+. What is the value of T+?
What is the test statistic, T?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Before _After_ diff ___rank
72 ______ 59 __13 __ 2
74 _______ 72 _ 2 __ 7
62 _____ 89 __ - 27 _ 1
74 _______ 67 __ 7 __4
78 ______ 81 __ - 3 __ 6
88 ______ 92 __ - 4 __5
71 _______ 81 __ - 10 __3
Ranking the data:
27, 13, 10, 7, 4, 3, 2
Observation 5 :
Before = 78 ; After = 81
Difference ; 78 - 81 - 3
Observation 5 = Rank 6
Ranks with negative difference, T = 6 + 5 + 3 + 1 = 12
Ranks with negative difference T+ = (2 + 7 + 4) = 13
The ratio of green houses to white houses on Winthrop Street is equal to
2 to 3. There are 60 white houses on Winthrop Street. How many green houses are there?
A 20 C 40
B 30 D 60
please show step by step
Answers
Answer:
C
Step-by-step explanation:
2:3 = x:60
3 → 60 (*20)
2*20=40
Answer:
40 green houses
Step-by-step explanation:
Because the ratio is given, you can use the criss-cross method.
2:3
?:60
All you do is multiply 60 by 2 then divide by 3
(60×2)/3=40
How many 5-digit numbers can be formed if each one uses all the digits 0,1,2,3,4
without repetition?
Answers
Answer:
{0, 1, 2, 3, 4} --> 96 5-digit numbers possible with this set.
Step-by-step explanation:
i dunno, i kinda just searched it up
link: https://gmatclub.com/forum/how-many-five-digit-numbers-can-be-formed-using-digits-91597.html#:~:text=If%200%20is%20included%3A,numbers%20possible%20with%20this%20set.
Answer:
120
Step-by-step explanation:
using the equation 5P5, you find that the total number of ways these 5 digits can be arranged to form 5 digit numbers if each is only used ONCE.
find the height of a triangle with an area of 156 square kilometers and a base that measures 24 kilometers
Answers
hb = 2 a/b= 2 x 156/24 = 13
Find an equation for the inverse of each of the following relations. 1 y=-8x + 3. 
Answers
Answer:
given
y=-8x+3
Interchanging the role of x and y
x=-8y+3
x-3=-8y
y=(3-x)/8
Inverse is y=(3-x)/8 or y=-(x-3)/8
Solve the simultaneous equations
4x3y=32
4x-y=16
Answers
Step-by-step explanation:
Solve equation [2] for the variable y
[2] y = -4x + 16
// Plug this in for variable y in equation [1]
[1] 4x + 3•(-4x+16) = 32
[1] -8x = -16
// Solve equation [1] for the variable x
[1] 8x = 16
[1] x = 2
// By now we know this much :
x = 2
y = -4x+16
// Use the x value to solve for y
y = -4(2)+16 = 8
Solution :
{x,y} = {2,8}
Which number line correctly shows the location of -1 1/2?
Answers
Answer: A.
What is the perimeter of this shape? Use numbers only. *
Answers
Answer:
13
Step-by-step explanation:
The perimeter is all of the sides added together. Because this is a rectangle, the length and width are the same on both sides. They gave you the length and width, so just add them:
4 + 4 + 2.5 + 2.5 = 13.
So the perimeter of the shape is 13.
Answer:
13 m
Step-by-step explanation:
2.5 + 4 + 2.5 + 4
2.5 + 2.5 + 8
5 + 8
13
Don invested $ 5 000 in an account paying 5% simple interest per year for 7 years.
Answers
Answer:
FV= $6,750
Step-by-step explanation:
Giving the following information:
Initial investment (P)= $5,000
Interest rate (r)= 5% simple interest
Number of periods (t)= 7 years
To calculate the future value of the investment, we need to use the following formula:
FV= (P*r*t) + P
FV= (5,000*0.05*7) + 5,000
FV= 1,750 + 5,000
FV= $6,750
Here’s the problem:)
Answers
7 is the longest side (hypothenuse)
Given opposite and hypothenuse, you can use sine to find the degree
Sin = opposite/hypothenuse
sin^-1(4/7) = 34.84990458
The solution is 34.8 (rounded to tenth)
Answer:
60.3°
Step-by-step explanation:
tanx(7/4)
since x is missing then its gonna be like this
[tex]tan^{-1}= \frac{7}{4}[/tex]
x= 60.260 round it if u want, my teacher said to round it to the tens place when finding the missing angle
Mark borrowed $5,500 at 11.5 percent for five years.
How much did Mark pay in interest?
$1,150
$1,520
$1,757
$2,300
Answers
Answer:
$ 1 , 150
Step-by-step explanation:
Brianna evaluated the expressions 42+4 (6-2). Which number shows the correct solution.
52,58,62,68
Answers
Answer:
58
Step-by-step explanation:
42+4(6-2) =
42+4(4) =
42+16 = 58
Answer:
58
Step-by-step explanation:
well first you have to do order of operations so do the stuff in the parentheses first so it would be 42+4(4) then you do multiplication and would get 42+16 and once you add that together you get 58
PLEASE HELP! (No links!)
What is the volume of the salt shaker??
Answers
Answer:
10
Step-by-step explanation:
Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 18)(0,18) and (2, 288)(2,288).
Answers
Answer:
[tex]y = 18*4^x[/tex]
Step-by-step explanation:
We want an exponential equation in the following format:
[tex]y = ab^x[/tex]
Point (0,18):
This means that when [tex]x = 0, y = 0[/tex]. So
[tex]y = ab^x[/tex]
[tex]18 = ab^0[/tex]
[tex]a = 18[/tex]
So
[tex]y = 18b^x[/tex]
Point (2,288):
This means that when [tex]x = 2, y = 288[/tex]. So
[tex]y = 18b^x[/tex]
[tex]18b^2 = 288[/tex]
[tex]b^2 = \frac{288}{18}[/tex]
[tex]b^2 = 16[/tex]
[tex]b = 4[/tex].
So
[tex]y = 18*4^x[/tex]
why is coal a non-renewable energy source
Answers
2. It took years to form.
help with the Measure of a triangle’s side
Answers
Answer:
x = 163.5
x = 1.2
Step-by-step explanation:
Recall: SOH CAH TOA
For the first triangle:
Reference angle = 73°
Opposite = x
Adjacent = 50
Apply TOA:
Tan 73° = Opp/Adj
Tan 73° = x/50
50*Tan 73° = x
163.542631 = x
x = 163.5 (nearest tenth)
For the first triangle:
Reference angle = 4°
Opposite = x
Adjacent = 17
Apply TOA:
Tan 4° = Opp/Adj
Tan 4° = x/17
17*Tan 4° = x
1.1887558 = x
x = 1.2 (nearest tenth)
It is commonly said that 10 of people are left-handed, but Lilianna suspected that a higher proportion of art students at her university are left-handed. To test this theory, she took a sample of 150 art students and found that p^=14% of the sample was left-handed.
To see how likely a sample like this was to happen by random chance alone, Lilianna performed a simulation. She took a sample of n=150 students from a population where 10% of the students were left-handed, and she recorded what proportion of the sample was left-handed. She repeated this process for a total of 50 samples. Here are the sample proportions from her 50 samples:
She wants to test H0:p=10% vs. Ha:p>10% where p is the proportion of art students at her university who are left-handed.
Based on these simulated results, what is the approximate p-value of the test?
Note: The sample result was p^=14%.
Answers
Answer: p-value ≈ 0.08
Step-by-step explanation:
The approximate p-value of the test is 0.0136 as per the data given in question.
What is p-value?The p value is a number calculated from a statistical test that describes the likelihood of finding a specific set of observations if the null hypothesis is true.
To find the approximate p-value of the test, we need to compare the sample proportion p^ to the hypothesized proportion p0 = 10% under the null hypothesis H0:p=10% vs. Ha:p>10%.
Since the sample size n is large (n = 150) and the null hypothesis assumes a normal distribution.
We can use the normal approximation to the binomial distribution. Under the null hypothesis, the test statistic z is given by:
z = (p^ - p0) / sqrt(p0 * (1 - p0) / n)
Plugging in the values, we get:
z = (0.14 - 0.1) / sqrt(0.1 * 0.9 / 150)
z = 2.22
The approximate p-value for this one-tailed test can be found by looking up the area to the right of z = 2.22 under the standard normal distribution.
Using a standard normal distribution table or calculator, we find that the area to the right of z = 2.22 is approximately 0.0136.
Therefore, the approximate p-value of the test is 0.0136. This means that if the true proportion of left-handed art students at the university is 10%, there is approximately a 1.36% chance of getting a sample proportion of 14% or higher by random chance alone.
For more details regarding p-value, visit:
https://brainly.com/question/30078820
#SPJ2
40% is NOT equivalent to....?
A. 0.4
B.2/5
C.40/100
D. 0.04
E. None correct
Answers
Answer:
d
Step-by-step explanation:
d is .04 percent plz mark branliest
Help pls!Pls and ty!
Answers
Answer:
a
Step-by-step explanation:
Can someone just check and tell me if this is right. If it's not correct can you explain how to do it?
Answers
AnswerI think its crrect]
Step-by-step explanation:
Answer:
75°
Step-by-step explanation:
When a quadrilateral is incribed in a circle, opposite angles equal 180.
180-105=75
HELP PLEASE I BEG
Juan had $19000 and chose to split the money into two different mutual funds. During the first year, Fund A earned 7% interest and Fund B earned 3% interest. If he received a total of $1042 in interest, how much had he invested into each account?
Juan invested $_____ into Fund A.
Juan invested $_____ into Fund B.
Answers
Answer:
Juan invested $ 11,800 in Fund A and $ 7,200 in Fund B.
Step-by-step explanation:
Given that Juan invested $ 19000 in two mutual funds, and Fund A earned 7% profit during the first year, while Fund B earned 3% interest, if he received a total of $ 1042 profit, to determine how much she had invested in each mutual fund the following calculation must be performed:
19000 x 0.07 + 0 x 0.03 = 1330
15000 x 0.07 + 4000 x 0.03 = 1170
11000 x 0.07 + 8000 x 0.03 = 1010
11500 x 0.07 + 7500 x 0.03 = 1030
11800 x 0.07 + 7200 x 0.03 = 1042
Therefore, Juan invested $ 11,800 in Fund A and $ 7,200 in Fund B.
A stadium has 8,436 seats that are divided into 12 different sections. Each section has the same number of seats.
How many seats are in each of the 12 sections? please show the work
Answers
Answer:
703
Step-by-step explanation:
You divide the 8436 by 12.
1. You can't divide the 8 by 12 so skip that
2. You can divide 84 by 12 so you get 7
3. Bring down the 3 (you have 0 as a remainder). You can't divide that so put a 0
4. Bring down the 6 and divide that (36) and you get 3
5. Your final answer would be 703.
The probability that no one is waiting in a given hour
Answers
Answer:
two people in an hour
Step-by-step explanation:
thats why I think that why no one is waiting
Answer:
Step-by-step explanation:
Write an algebraic expression for each word expression.
A number, n, divided by 9
Answers
Answer:
n/9
Step-by-step explanation:
Answer:
n/9
Step-by-step explanation:
Solve for x.
2x + 15
3x - 20
x = [?]
Answers
Answer:
x= 7
3x-20
2x+15
you would add 3x+2x equals 5x and 20 +15= 35
5x+35
35 divided by 5 is 7 and then on the 5x divide by 5 and leaves x=7
Answer:
35
Step-by-step explanation:
Angles 2x + 15 and 3x - 20 are adjacent angles.
Adjacent angles are equal.
3x - 20 = 2x + 15
3x - 2x = 15 + 20
x = 35
It would be nice if someone helped!
Thank you I’m advanced
Answers
Answer: 243 inches squared.
Step-by-step explanation: I could be wrong but here's my answer
Rewrite the function f(x) =-4(x+3)2-2 in the form f(x) = ax?+bx+c.
| f(x) = 1
Х
X
?
Answers
Answer:
Step-by-step explanation:
https://www.alvinisd.net/cms/lib/TX01001897/Centricity/Domain/436/Math%201314.61%20Quiz%20Solutions.pdf it will give u the answer trust me
Does a compromised account on Instamean your banned for a few days????? Yes or no?
Answer ASAP
Answers
Answer:
Not necessarily
Step-by-step explanation:
Not necessarily. Compromised accounts tend to happen for one of two reasons. The first is that the system detects and overdose of activity on your account meaning your are spamming likes, shares, etc on the account. The second is due to unauthorized access or suspicious activity. Both of these can either cause a temporary ban on your account that lasts for a 24 hours or a deactivation of the account. To reactivate your account you will need to login, and reactivate it in the settings, which may ask you to reset your login information.