Answer:
Length is 8feet
Width is 26feet
Step-by-step explanation:
Area of the garden = Length × Width
A = LW
Perimeter = 2(L+W)
If the length of the garden is 8 feet more than 3 times the width, then;
L = 3W+8
Substitute into the second equation
P =2(L+W)
P = 2(3W+8+W)
P = 2(4W+8)
P = 2(4W)+16
If he needs 64 feet of fencing to do the job then;
64 = 8w+16
8w = 64-16
8w = 48
w = 48/8
w = 6feet
Hence the width is 6feet
Get the length
L = 3w+8
L = 3(6)+8
L =18+8
L = 26
Hence the length is 26feet
New employees at a large corporation go through a training program during their first week of employment. The new employees take a written assessment at the completion of the program to determine how well prepared they are for their jobs. A score greater than the mean indicates a well-prepared employee. Assume the following distributions of new employee scores have the same mean score, the same maximum score, and the same minimum score. Which distribution has a shape that is most likely to represent the greatest percent of well-prepared employees?
a) The distribution of scores is skewed to the right.
b) The distribution of scores is skewed to the left.
c) The distribution of scores is bimodal and symmetric.
d) The distribution of scores is uniform.
e) The distribution of scores is approximately normal.
Answer:
a) The distribution of scores is skewed to the right.
Step-by-step explanation:
From the given information.
A skewed distribution usually showcases that one tail of a distribution is longer than the other. The distribution of scores showing the greatest pattern of well-prepared emploiyees signifies that the right tail of the distribution is longer than then the left tail. Hence,the shape of the distribution is positively sweked to the right.
Answer:
B) The distribution of scores is skewed to the left.
Step-by-step explanation:
If a score greater than the mean indicates a well-prepared employee, that means the mean has to be less than the median in order to have a distribution with a shape that is most likely to represent the greatest percent of well-prepared employees. The only distribution with the median greater than the mean is in a left skewed distribution.
Translate the given statement into an algebraic inequality or compound inequality:
To avoid an additional charge, the sum of the length, l, width, w, and depth, d, of a piece of luggage to be checked on a commercial airline can be at most 61 inches.
a.
l + w + d greater-than 61
b.
l + w + d less-than 61
c.
l + w + d greater-than-or-equal-to 61
d.
l + w + d less-than-or-equal-to 61
Answer:
[tex]l + w + d \leq 61[/tex]
Step-by-step explanation:
Given
Sum of l, w and d be at most 61
Required
Write as inequality
First, we need to determine the sum of l, w and d
[tex]Sum = l + w + d[/tex]
Next, we determine the type of inequality.
At most 61 means less than or equal to 61
So, the expression becomes:
[tex]Sum \leq 61[/tex]
Substitute value for Sum
[tex]l + w + d \leq 61[/tex]
Answer:
D
Step-by-step explanation: Ede 2021
For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth.
Answer:
x = 28.3
Step-by-step explanation:
tan 31° = 17 / x
x = 17 / tan 31° = 17 / 0.60086 = 28.3
Write the sentence as an inequality.
A number n is no less than -8.
n ( )-8
Answer:
N ≥ -8
Step-by-step explanation:
5. Factor: x² - 4x-21
Answer:
(x - 7) (x + 3)
Step-by-step explanation:
Laura typed 550 words during a 5-minute test in her keyboarding class. Which equation can be used to find t, the time required for Laura to type 2,000 words, typing at the same rate?
Answer:
Step-by-step explanation:
URGENT!!! PLEASE ANSWER ITS DUE SOON!
Drag the tiles to the correct boxes to the scenario it represents.
10 points cuz im running low
look at the pic
Answer:
3 6 4 2
Step-by-step explanation:
can i have brainliest please?
A large bottle of juice contains 500 milliliters of juice. A medium bottle contains 70% as much juice as the large bottle. How many milliliters of juice are in the medium bottle?
Answer:
350 mL
Step-by-step explanation:
70% of 500 is 350
Best answer gets brainliest!!!
CHOOSE 3!
Answer:
B and D
Step-by-step explanation:
Cassie earned $238 last week when she worked 28 hours. If her weekly earnings are directly proportional to her hours worked, how much will she earn if she works 39 hours next week?
Answer:Commission
An amount of money paid for selling a product or service
Commission Rate
A specified amount of money paid for each sale or a percent of the total value of sales
Step-by-step explanation:
Commission
An amount of money paid for selling a product or service
Commission Rate
A specified amount of money paid for each sale or a percent of the total value of sales
LCM of 15,30,90
answer ASAP
Answer:
The answer is 90
Step-by-step explanation:
15×6=90
30×3=90
The ratio of 14C to 12C in living organisms is 1.3 × 10-12. The fossilized remains of an organism are discovered and the ratio of 14C to 12C in the fossil is measured to be 4.6 × 10-13. How long ago, in years was the organism alive? (The half life of 14C is 5,730 years.)
Answer:
t = 8588 years
Step-by-step explanation:
From the given information:
Using the formula:
[tex]k = \dfrac{In (2)}{t_{1/2}}[/tex]
Given that:
[tex]t_{1/2}[/tex] = 5730 years
Then:
[tex]k = \dfrac{In (2)}{5730}[/tex]
[tex]k = \dfrac{0.6931472}{5730}[/tex]
k = 1.20968 × 10⁻⁴
However; the expression to find the value of x is:
[tex]x= x_oe^{-kt}[/tex]
[tex]4.6 \times 10^{-13} = 1.3 \times 10^{-12} \times e^{(-1.20968\times 10^{-4} \times t)}[/tex]
[tex]\dfrac{4.6 \times 10^{-13} }{1.3 \times 10^{-12}}= e^{(-1.20968\times 10^{-4} \times t)}[/tex]
[tex]0.353846= e^{(-1.20968\times 10^{-4} \times t)}[/tex]
(-1.20968 × 10⁻⁴ × t) = In(0.353846)
(-1.20968 × 10⁻⁴ × t) = -1.03889
[tex]t = \dfrac{-1.03889}{-1.20968 \times 10^{-4}}[/tex]
t = 8588 years
A hardware store sells ladders that extend up to 12 feet. The store's advertising says:
Largest Inventory in the country! If you put all our ladders end to end, you could climb the top of the Empire State Building!
The company has 295 ladders in stocks. The Empire State Building is 1,453 feet tall.
Is it true that the ladders would reach the top of the building?
Explain how you solved the problem.
Answer:
It is true that the ladders would reach the top of the building.
Step-by-step explanation:
295 x 12 = 3540
3540 > 1453
737x79 using estimating I really need halp
The exact answer is 58223.
Lisa drank 4/5
liter of water Monday before going jogging. She drank 2/3
liter of water after her jog. How much water did Lisa drink altogether?
Answer:
12/15 + 10/15= 1 whole and 7/15
Step-by-step explanation:
Mr. Burns measured the heights of 16 apple trees in his orchard. The results are shown in the
dot plot. Which statement about the data is true?
Answer: The 3rd answer on your screen in correct :) imagine cheating
Step-by-step explanation:
Mr. Diaz has 92 peach trees in his orchard which he planted along with apple trees.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
here, we have,
Given, Mr. Diaz has 346 apple trees in his orchard.
Let, 'P' denotes the number of peach trees and 'A' denotes the number of apple trees.
So, A + P = 347.
Also given that he has 162 more apple trees than peach trees in his orchard which is, A = P + 162.
Therefore,
P + 162 + P = 346.
2P = 346 - 162.
2P = 184.
P = 92.
So, Mr. Diaz has 92 peach trees in his orchard.
Q. Mr. Diaz has 346 apple trees in his orchard. He has 162 more apple trees than peach trees in his orchard. How many peach trees does Mr. Diaz have in his orchard?
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pls help ill give brainliest
Jose used a total of 2 5/6 gallons of gas while driving his car. Each hour he was driving, he used 3/10 gallons of gas. What was the total number of hours he was driving?
Answer:
19 hours
Step-by-step explanation:
2.83333/.3= 19.44
Estimate the line of best fit using two points on the line (4,6) (9,10)
Answer:
y=4/5x+2 4/5
Step-by-step explanation:
i just took the test
If you help on this question you will get brainlest and points !
Answer:
C. 6x+100<150
Step-by-step explanation:
Because yyour putting the two items together but they can't be more than 150
If x^2+y^2=1, what is the largest possible value of |x|+|y|?
If x² + y² = 1, then y = ±√(1 - x²).
Let f(x) = |x| + |±√(1 - x²)| = |x| + √(1 - x²).
If x < 0, we have |x| = -x ; otherwise, if x ≥ 0, then |x| = x.
• Case 1: suppose x < 0. Then
f(x) = -x + √(1 - x²)
f'(x) = -1 - x/√(1 - x²) = 0 → x = -1/√2 → y = ±1/√2
• Case 2: suppose x ≥ 0. Then
f(x) = x + √(1 - x²)
f'(x) = 1 - x/√(1 - x²) = 0 → x = 1/√2 → y = ±1/√2
In either case, |x| = |y| = 1/√2, so the maximum value of their sum is 2/√2 = √2.
An equation is formed of two equal expressions. The largest possible value of |x|+|y|=1.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the value of x²+y²=1. Therefore, The largest possible value of |x|+|y|=1.
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Which expression is equivalent to 24 + 15?
2(12 + 7)
3(8 + 5)
5(8 + 3)
8(3 + 7)
what is 1/2 plus 1/3
Answer:
1/2 + 1/3 = 5/6
Step-by-step explanation:
1/2 + 1/3 = 5/6
Answer:
5/6
Step-by-step explanation:
multiply 1/2 by 2 and then multiply 1/3 by 2 to get 5/6
What value of n makes the equation true?
-1/5n + 7 = 2
n =
Answer:
n= 25 :)
Step-by-step explanation: took test !
Candice and Peter are ordering pizza for upcoming parties from different pizza places.
Candice is trying to decide how many pizzas she wants to order from Pizza in the Skye. If she orders 2 pizzas, it will cost her $9.98.
If she orders 3 pizzas, it will cost her $14.97.
Peter created the table below to determine how much x pizzas will cost from Mike's Pizza.
Pizzas
4
5
6
Cost
$19.96
$24.95
$29.94
$34.93
$39.92
7
8
Who will pay the cheaper price per pizza?
A. Candice and Peter will pay the same price per pizza.
B. Candice will pay the cheaper price per pizza.
OC. Peter will pay the cheaper price per pizza.
Answer:a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
NEED HELP ASAP !!!!!!!!!!!!!!!!!
number one and four
Which point is located at -3/2
Answer:
point B
Step-by-step explanation:
it turns in to -1 1/2
Answer:
b
Step-by-step explanation:
can u pls help me with this question
Answer:
2 hot dogs to 4 hamburgers
Step-by-step explanation:
there are 2 hot dogs and there are 4 hamburgers so its 2 hotdogs to 4 hamburgers
Decline of 11.3%
I have to identify it as a growth or decay and then write it in decimal form
Answer:
decay.
Step-by-step explanation:
decline means reduce, which is a negative term. decay is also negative.
decimal form= .113 or .11
Find an equation of the line L. L is perpendicular to y=-2x and is passing through points 2,-4
slope of line y= -2x is -2
slope of line L= (-1)reciprocal of slope line y= -2x.
=( -1)(-1/2)
=1/2
since the L passes through (2,-4),
equation of line L: y-(-4)= 1/2(x-2)
2y+8 = x-2
x-2y-10=0
Hence equation of line L is x-2y-10=0
The equation perpendicular to y = -2x and passing through point (2,-4) is y = x/2 - 5.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
The equation of a line with slope m is given by
y = mx + c
Now,
multiplication of slope of two perpendicular lines = -1
And,
Slope of line y = -2x ⇒ dy/dx = -2
So,
m × (-2) = -1 ⇒ m = 1/2
So,
y = (1/2)x + c
Now since it is passing by point (2,-4) so it should satisfy this
So,
-4 = 2/2 + c
c = -5
So,
y == x/2 - 5.
Hence "The equation perpendicular to y = -2x and passing through point (2,-4) is y = x/2 - 5".
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50 POINTS HELP PLS
what is the equation in point slope form of the line passing through (-3, -4) and (0,2)
Answer:
this the answery=x/3+2
