Half the perimeter is the length + the width
62/2 = 31
Area = length x width
16 + 15 = 31, 15 x 16 = 240
17 + 14 = 31, 17 x 14 = 238
20 + 11 = 31, 20 x 11 = 220
Answer: 20 meters x 11 meters
brainlyest, plus 5 points
PLEASE STEP BY STEP
Evaluate x/2+5y-1.5 when x = 10 and y = 8
Answer:
43.5
Step-by-step explanation:
x/2+5y-1.5
10/2+5×8-1.5
5+40-1.5
5+38.5
=43.5
Answer:
43.5
Step-by-step explanation:
x ÷ 2 + 5y - 1.5
Start by replacing the x's and y's
10 ÷ 2 + (5 · 8) - 1.5
Start with parenthesis
10 ÷ 2 + 40 - 1.5
Then do the division
5 + 40 - 1.5
Then go left to right
45 - 1.5
43.5
I hope this helps!!!
Solve for x
3x+7=28
Answer:
X=7
Step-by-step explanation:
Answer:
x = 7Step-by-step explanation:
3x + 7 = 28=> 3x = 28 - 7=> 3x = 21=> x = 7Conclusion:
Therefore
x = 7.Hoped this helped.
[tex]GeniusUser[/tex]
solve the following methods
don't know when you find out tell me
If f(x) = 9(x - 7)^2 – 8
Find f( – 4)
Answer:
1,081
[tex]f( - 4) = 9( - 4 - 7) {}^{2} - 8 \\ f( - 4) = 9( - 11 {)}^{2} - 8 \\ f( - 4) = 1081[/tex]
A recent study revealed the typical American coffee drinker consumes an average of 3.1 cups per day. A sample of 12 senior citizens revealed they consumed the following amounts of coffee, reported in cups, yesterday.
3.1, 3.3 ,3.5 ,2.6, 2.6, 4.3, 4.4 ,3.8 ,3.1 ,4.1 ,3.1, 3.2
(a) State the null hypothesis and the alternate hypothesis. (Round your answers to 1 decimal place.)
(b) State the decision rule for 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
(c) Compute the value of the test statistic. (Round your answer to 3 decimal places.)
(d) Do these sample data suggest there is a difference between the national average and the sample mean of the senior citizens?
Using the t-distribution, it is found that:
a)
The null hypothesis is [tex]H_0: \mu = 3.1[/tex]
The alternative hypothesis is [tex]H_1: \mu \neq 3.1[/tex]
b)
|t| < 2.201: Do not reject the null hypothesis.|t| > 2.201: Reject the null hypothesis.c) t = 1.853
d) Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.
Item a:
At the null hypothesis, it is tested if the estimate of 3.1 cups per day is correct, that is:
[tex]H_0: \mu = 3.1[/tex]
At the alternative hypothesis, it is tested if the estimate is not correct, that is:
[tex]H_1: \mu \neq 3.1[/tex]
Item b:
This is a two-tailed test, as we are testing if the mean is different of a value, with 12 - 1 = 11 df and a significance level of 0.05, hence, the critical value is [tex]t^{\ast} = 2.2[/tex].
Then, the decision rule is:
|t| < 2.201: Do not reject the null hypothesis.|t| > 2.201: Reject the null hypothesis.Item c:
We can find the standard deviation for the sample, hence, the t-distribution is used.
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.The values of the parameters, with the help of a calculator for the sample mean and standard deviation, are given by: [tex]\overline{x} = 3.425, \mu = 3.1, s = 0.6077, n = 12[/tex]
Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{3.425 - 3.1}{\frac{0.6077}{\sqrt{12}}}[/tex]
[tex]t = 1.853[/tex]
Item d:
Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.
A similar problem is given at https://brainly.com/question/24826023
Urgent!
<6 and what angle are corresponding angles?
Answer:
11
Step-by-step explanation:
Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).
when we simplify (ab + 3c)^2 we get
Answer:
a^2b^2+6abx+9c^2
Step-by-step explanation:
(a + b)2 = a2 + 2ab + b2
(ab+3c)^2=(ab)^2+2ab*3c+(3c)^2
Hey there!
(ab + 3c)^2
= (ab + 3c)(ab + 3c)
DISTRIBUTE
= ab(ab) + ab(3c) + 3c(ab) + 3c(3c)
= a^2 b^2 + 3abc + 3abc + 9c^2
COMBINE the LIKE TERMS
= a^2 b^2 + 6abc + 9c^2
Therefore, your answer is:
a^2 b^2 + 6abc + 9c^2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the equation for this parent graph?
2) A gym charges a $30 membership fee and $10 per month. Write an
equation to represent this situation. Find the cost for 5 months. If a new
member paid $160, how many months did they go to the gym?
C = 10m + 30, where C is total cost and m is # of months
C = 10(5) + 30
C = 50 + 30
C = $80
$160 = 10m + 30
160 - 30 = 10m
130/10 = m
m = 13 months
Hope that helps
help please brainliest and 30 pts
Answer: B though im not sure
Step-by-step explanation:
Use the properties of operations to write an expression equivalent to 4x+1/2+2x-3. Please include explanations. Thanks!
Answer:
[tex]6x -2\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]4x + \frac{1}{2} + 2x - 3[/tex] Addition of like terms
[tex]6x + \frac{1}{2} - 3[/tex] Addition of content terms
[tex]6x -2\frac{1}{2}[/tex]
4d-6=-14+5d
NEED HELP ASAP
Answer:
Hewo There!!!
____________________
Isolate the variable by dividing each side by factors that don't contain the variable.
d = 8
____________________
“Darkness cannot drive out darkness: only light can do that. Hate cannot drive out hate: only love can do that.”
― Martin Luther King Jr., A Testament of Hope: The Essential Writings and Speeches
_______________________
Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn
A town doubles its size every 35 years. If the population is currently 50000, we will the
population be in 140 years?
please help
A 3 to 1
B 6 to 2
C 7 to 2
D 9 to 3
Answer:
yo what is your question??????
Step-by-step explanation:
Maybe c 7 to 2
0.000025 in scientific notation
Answer:
2.5 × [tex]10^{-5}[/tex]
Step-by-step explanation:
I hope this helps!!
Triangle ABC is translated left 1 units, and dilated by a scale factor of 2.
Write in the coordinates of vertices A'B'C'.
Answer:
Step-by-step explanation:
( x , y ) ----> ( x - 1 , y ) ------> ( 2(x-1) , 2y ) = ( 2x - 2 , 2y )
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
20% tip on a bill of $67.46
Solve each equation.
1) | 2x - 4 | = 10
2) -5 | -4x + 4 | - 7 = -67
Show all work please :D
[tex](1)\\\\|2x-4| =10\\\\\implies 2x-4 = 10~~ \text{or}~~ 2x -4 = -10\\\\\implies x = \dfrac{14}2 = 7 ~~\text{or}~~ x = -\dfrac{6}2=-3\\\\\\(2)\\\\-5|-4x+4|-7 = -67\\\\\implies -5|-4x+4| = -67 +7 = -60\\\\\implies |-4(x-1)| = \dfrac{-60}{-5}=12\\\\\implies 4|x-1| = 12\\\\\implies |x-1| =\dfrac{12}4 = 3\\\\\implies x-1 = -3~~\text{or}~~ x-1=3\\\\\implies x = -2~~ \text{or}~~ x = 4[/tex]
What is the surface area of the rectangular prism?
2 m
10 m
5 m
Answer:
10m
Step-by-step explanation:
For any parallelogram what is not always true
Answer:
The diagonals are congruent.
Step-by-step explanation:
Answer:
1) The diagonals are congruent.
3) The opposite angles are congruent.
4) The opposite sides are parallel.
Step-by-step explanation:Two pairs of opposite sides are congruent. The diagonals are perpendicular to each other. 4 In parallelogram QRST, diagonal is drawn. Which statement must always be true?
if it does not work sorry
A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basket balls to soccer balls is 7:6. The store donates 24 soccer balls. How many basketballs do they donate
The number of basket balls donated is; 28 basket balls
We are told that;
Ratio of basket balls to soccer balls = 7:6
Now, the number of soccer balls donated was 24.
This, means fraction of the total number of balls x for soccer balls was; [6/(7 + 6)]x
Thus;
[6/(7 + 6)]x = 24
6x/13 = 24
6x = 24 × 13
6x = 312
x = 312/6
x = 52 balls
Now, since total balls are 52 and soccer balls are 24, then;
Number of basketballs = 52 - 24
Number of basketballs = 28 basketballs
Read more about fraction and proportions at; https://brainly.com/question/1581333
estimate 417 x 63 equals to
Answer:
24000
Step-by-step explanation:
400 can be rounded to 400 and 63 can be rounded to 60
400x60=24000
your exact product would be 26271
hope this helps
Darren got 42 out of 56 correct on a test. What percent of the questions did he get correct?
Answer: Darren got 75% of the questions correct.
Step-by-step explanation:
To find the percentage of questions Darren got correct, we can divide the questions he got correct by the total number of questions.
42 ÷ 56 = 0.75
0.75 X 100 = 75
So, Darren got 75% of the questions correct.
Evaluate: 100−20.2×4.5.
i need this for imagen math
Answer:
359.1
Step-by-step explanation:
100 - 20.2 is 79.8
79.8 x 4.5 is 359.1
therefore it is 359.1
solving the math function
Answer: the answer is C
Step-by-step explanation: trust me took the final yesterday ♀️
Answer:
C) [tex]f(x)=(x-1)^\frac{1}{2}[/tex]
Step-by-step explanation:
The graph shows a radical function that starts at (0,1). This must mean that the original function had been translated to the right one unit. Therefore, [tex]f(x)=(x-1)^\frac{1}{2}[/tex] is correct.
43. Write a system of equations that is equivalent to each of the systems of equations below
2x + 3y = 4
12x+3y=1
X-7y=8
5x+4y=20
1.
The new system of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1
To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.
So, 2x + 3y = 4 (1)
12x + 3y = 1 (2)
We multiply equation (1) by 2
So, 2x + 3y = 4 (1) × 2
⇒4x + 6y = 8 (3)
Replacing (1) by (3), we have
4x + 6y = 8 (3)
12x + 3y = 1 (2)
So, the new system of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1.
2.
The new system of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20
To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.
So,
x - 7y = 8 (1)
5x + 4y = 20 (2)
We multiply equation (1) by 3, we have
So, x - 7y = 8 (1) × 3
⇒3x - 21y = 24 (3)
Replacing (1) by (3), we have
3x - 21y = 24 (3)
5x + 4y = 20 (2)
So, the new system of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20.
Learn more about equivalent equations here:
https://brainly.com/question/2972832
5y+4x=10.51 8y+3x=10.39
Answer:
(x, y) = (1.89, 0.59)
Step-by-step explanation:
Written in general form, the equations are ...
4x +5y -10.51 = 0
3x +8y -10.39 = 0
These can be solved using the cross-multiplication method to find ...
∆1 = (4)(8) -(3)(5) = 17
∆2 = (5)(-10.39) -(8)(-10.51) = 32.13
∆3 = (-10.51)(3) -(-10.39)(4) = 10.03
Then the values of the variables are ...
x = ∆2/∆1 = 32.13/17 = 1.89
y = ∆3/∆1 = 10.03/17 = 0.59
The solution is (x, y) = (1.89, 0.59).
Brian and Andie were calculating their total money saved to see if they could buy a game to share. Andie notices that she has 24 more dollars than Brian. If together they have $72, how much money does Brian and Andie have?
Answer:
Andie has 48 and Brian has 24
hope it's correct
What is the selling price of an item if the original cost is $784.50 and the markup on the item is 6.5 percent?
selling price = original cost + markup value
A.
$509.95
B.
$831.57
C.
$835.49
The selling price of the item is $835.49
How to determine the selling price?The given parameters are:
Original cost = $784.50
Markup = 6.5%
The selling price is calculated as
Selling price = Original cost * (1 + Markup)
So, we have:
Selling price =$784.50 * (1 + 6.5%)
Evaluate the expression
Selling price =$835.49
Hence, the selling price of the item is $835.49
Read more about mark up at:
https://brainly.com/question/2027650
#SPJ1
If Sue worked 28 hours this week and made $172 in tips, how much did her weekly pay
exceed what she would have made with minimum wage?
Answer: 28 hours over 172$ that mean 6.14 per hour
so 257.88$ minimum for 42 hours
Step-by-step explanation:
28 hours over 172$ that mean 6.14 per hour
so if we say she work in one day 6 hours that mean in one weak 42 hours
so 42*6.14= 257.88 $
