Answer:
W = 16 2/3 yards
L = 3 1/3 yards
Step-by-step explanation:
A rectangle will consist of two sides with length L, and two more sides with length W. Area will be W*L.
We are told that L is 30 yards less than 2W:
L = 2W - 30
We also learn that we have 60 yards of fencing for the perimeter, which is 2L + 2W.
Therefore, we can write: 2W + 2L = 60 yards.
I see the words "need to use," so I must conclude that all of the fencing must be used. This sounds like a domestic issue.
Let's use L=2W-20 in the equation 2W + 2L = 60:
2W + 2L = 60
2W + 2(2W-20) = 60
2W + 4W-40 = 60
6W =100
W = (100/6) = 16 2/3 yards
L = 2W - 30
L = 2(16+(2/3)) - 30
L = 33 1/3 - 30
L = 3 1/3 yards
===============
Is the length 30 yards less than twice the width?
2W = 33.33
33.33 - 3.33 = 30 yards YES
If two terms of an arithmetic sequence are a11 = 23 and a15 = −5, what is a28?
The value of a28 given a11 = 23 and a15 = −5 is -96
Given:
a11 = 23
a15 = −5
Where,
a1 = first term
d = common difference
a11 = a + 10d = 23
a15 = a + 14d = -5
a + 10d = 23 (1)
a + 10d = 23 (1)a + 14d = -5 (2)
subtract (1) from (2) to eliminate a
14d - 10d = -5 - 23
4d = -28
d = -28 / 4
d = -7
Substitute d = -7 into (1)
a + 10d = 23 (1)
a + 10(-7) = 23
a - 70 = 23
a = 23 + 70
a = 93
So,
a28 = a + 27d
= 93 + 27(-7)
= 93 + -189
= 93 - 189
= -96
Therefore, the value of a28 given a11 = 23 and a15 = −5 is -96
Learn more about arithmetic sequence:
https://brainly.com/question/6561461
A company pays its employees $26 for every 4 hours of overtime worked in a day.
Mike works 9 hours of overtime and is paid $53.
Rachael works 8 hours of overtime and is paid $52.
Tom works 17 hours of overtime and is paid $442.
John works 16 hours of overtime and is paid $100.
Which employee receives an appropriate payment for the hours of overtime worked, according to the given unit ratio?
Answer:
John
Step-by-step explanation:
The perimeter of the figure below is 140 ft.
Find the length of the missing side.
Answer:
9.2 ft
Step-by-step explanation:
140 - 9.6 - 10.2*8 - 19.8*2 = 9.2
mark me as brainliest PLEASE
guys please (number 3)
Answer:
500 < c < 1,700
Step-by-step explanation:
expand: -4(2x + 2) +3
Answer:
-8x-8+3
-8x-5
that is the answer for this question and I will send you the link to mp3 and
A bicycle has a listed price of $588.95 before tax. If the sales tax rate is 8.25% , find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
$637.54
Step-by-step explanation:
The cost is $588.95 and the tax is 8.25%, which needs to be turned into a decimal by moving the decimal 2 places to the left. .0825. Now multiply 588.95 x .0825 and that gives you the tax: $48.59 after rounding. Now add the tax to the price: 588.95 + 48.59 = $637.54.
At the Coyotes' football game yesterday, the Coyotes scored 6 points for every 1 point scored by their opponent, the Rams. Pick the diagram that models the ratio in the story. If the Coyotes scored 42 points, how many points did the Rams score
Answer:
The Rams scored 7 points.
Step-by-step explanation:
42/6 = 7
since the Coyotes scored 42 points, you would divide that score by however many they would get for every 1 point the Rams would get.
Can you help me please
when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter
Answer:
125 cmStep-by-step explanation:
when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter?
A Regular polygon is a polygon with all sides of equal length
so
25 * 5 = 125 cm
What is an equation of the line that passes through the points (4, -1) and (-8, -7)?
Answer:
y=-1/2x - 3
I think this is it, its been a while though.
Rationalize the denominator 1/ (5-2√3)
[tex]\qquad[/tex]_________________________
[tex]\bf Multiplying\:by\:\: \purple{ \dfrac{5+\sqrt{3}}{5+\sqrt{3}}}\\[/tex]
[tex]\qquad[/tex][tex] \longrightarrow \bf \dfrac{1}{5 - 2\sqrt{3} } \times \dfrac{5 + 2\sqrt{3} }{5 + 2\sqrt{3} }\\ [/tex]
[tex]\qquad[/tex][tex]\longrightarrow \sf \dfrac{1(5 + 2\sqrt{3}) }{(5 - 2\sqrt{3})(5 + 2\sqrt{3}) } [/tex]
[tex]\qquad[/tex][tex]\longrightarrow \sf \dfrac{5 + 2\sqrt{3} }{ {(5)}^{2} - (2 \sqrt{3})^{2} } [/tex]
[tex]\qquad[/tex][tex] \longrightarrow \sf \dfrac{5 + 2 \sqrt{3} }{(5 \times 5) - (2 \times 2 \times \sqrt{3} \times \sqrt{3} )} [/tex]
[tex]\qquad[/tex][tex] \longrightarrow \sf \dfrac{5 + 2 \sqrt{3} }{(25) - (12)} [/tex]
[tex]\qquad[/tex][tex] \purple{ \longrightarrow \bf \dfrac{5 + 2 \sqrt{3} }{13} } [/tex]
[tex]\qquad[/tex]_________________________
Answer is 2/(5+√13)
Rationalize the denominator 1/ (5-2√3)
Can someone please help me with this one? Tysm!!
Answer:
-26
Step-by-step explanation:
well add the negative numbers first so you get
-17-18=(-35)
then you add 9 so its (-35)+9=26
Answer:
Step-by-step explanation:
-17 + 9 +(-18) = -8 -18 = -26 final answer
HELP HELP ME PLS I AM RUNNING OUT OF TIME!!!! HERE IS MY PROBLEM:
An attorney drove 9 1/4 miles from his home to a clients home and another 4 3/5 miles to get to his office. How far did he drive in total?
Answer:
Step-by-step explanation:
To write fractions with a common denominator, you will most likely need to scale some numbers up! I will explain how.
Let's try it with the fractions
2
3
and
3
12
12 is larger than 3, so we will have to multiply the 3 by some number to equal 12. (We are really finding the Least Common Multiple of the two denominators!) To do this, you have to multiply the 3 by 4, because 3x4=12. But now the numerator doesn't match the denominator. When you scale the denominator up, you have to scale the numerator up too! So the 2 must be multiplied by 4 also.
Now you have the following:
8
12
and
3
12
These fractions now have common denominators! Now they're all set for adding or subtracting fractions.
Try another:
2
6
and
3
5
: The least common multiple of 6 and 5 is 30. (the product of the denominators)
Transform each fraction by multiplying by "1":
2
6
⋅
5
5
=
10
30
and
3
5
⋅
6
6
=
18
30
One last problem:
4
9
and
7
6
What is the least common multiple of 9 and 6? Could you use 54? Absolutely, but it is not the LEAST number that you could use. How about 18? YES!
4
9
⋅
2
2
=
8
18
and
7
6
⋅
3
3
=
21
18
Ready to go...
Hope this helped!
What are the outliers for 7,1,9,9,12,25,9,7,7,
anybody help please hehehe
Answer:
It is the second one 20^247
Step-by-step explanation:
Monty Ricker obtained a used car loan of $6,000.00 at 8% for 36 months. The monthly payment is $ 187.80. The balance of the loan after 12 payments is $ 4,159.90. The balance after the 34th payment is $ 380.60.
Answer:
What is the intrest for the 13th payment?
Answer: What is the interset
Step-by-step explanation:
Does any one mind helping me on this question I have struggle solving it
answer for (a) attached.
Find the m, b, and write the equation for the following graph:
Answer:
y = 3, m=0, b=3
Step-by-step explanation:
Hi there! If you look at the graph, we have a horizontal like crossing through y=3. your m value will be 0 as there is no slope. For your b value, it will be 3 as the y-intercept is 3.
I hope this helps!
Make y the subject of the formula
5y - 4h = 18
Answer:
[tex]\displaystyle \large{y=\frac{18+4h}{5} }\\[/tex]
Alternatively, you can use [tex]\displaystyle \large{y=\frac{18}{5}+\frac{4h}{5} }\\[/tex] as an answer.
Step-by-step explanation:
To make y as the subject of equation, we have to find a way to isolate y-variable.
First, add 4h both sides of equation which we obtain:
[tex]\displaystyle \large{5y-4h+4h=18+4h} \\\displaystyle \large{5y=18+4h}[/tex]
Next, we divide both sides by 5 so we can finally have y-isolated equation and thus it becomes the new subject of equation.
[tex]\displaystyle \large{\frac{5y}{5} =\frac{18+4h}{5} }\\\displaystyle \large{y=\frac{18+4h}{5} }[/tex]
Thus the answer is y = (18+4h)/5
Alternatively for solution, you can separate the fraction which we obtain a valid alternative solution.
[tex]\displaystyle \large{y =\frac{18}{5} +\frac{4h}{5} }\\[/tex]
Either one of these solutions work.
_______________
Let me know in the comment if you have any questions.
Calculate the area of trapezium CDEF.
Answer:
i think 24 cm² is answer good luck
Is the relationship between the temperature scales proportional?Why or why not?
Answer: No, see explanation below
Step-by-step explanation:
For the relationship between the temperature scales to be proportional, the ratio (the number we get when dividing the given temperature in Celsius by the temperature in Fahrenheit) has to be constant.
[tex]\frac{0}{32}=0\\\frac{10}{50}=0.2\\\frac{20}{68}=0.29[/tex]
In the example, I give, we can see that is not the case. It applies to any value as well, therefore the relationship between the temperature scales is NOT proportional
Please help me
if v=6, w=-9, and x=7
Answer:
im sorry but r u even trying..... bc i just answer one of ur questions
Step-by-step explanation:
PLEASE ANSWER QUICKLY 100 POINTS!!!! Simplify the expression below. (See picture below) What is the numerator of the simplified expression?
Answer:
13N+26/9n-26/3
Step-by-step explanation:
Answer:
13N+26/9n-26/3
Step-by-step explanation:
Mark as brainliest
May I please receive help?
Are you looking for a acute angle?
Answer:
Its right angel
Step-by-step explanation:
Sorry if m wrong
A stainless steel gas grill is list priced at $495. The manufacturer offers a series discount of 25/20/10 to wholesalers and a 25/20 series discount to
retailers. What is the difference between the prices?
Answer:200$
Step-by-step explanation:
Please help I need help by the end of today
Answer:
A. x = 7, y = 3
Step-by-step explanation:
The triangles are congruent by HL if the hypotenuses are congruent, and if the marked legs are congruent.
3x -1 = 6y +2 . . . . hypotenuses are congruent
2x = 5y -1 . . . . . . .legs are congruent
Subtracting 2 times the first equation from 3 times the second gives ...
3(2x) -2(3x -1) = 3(5y -1) -2(6y +2)
6x -6x +2 = 15y -3 -12y -4
9 = 3y . . . . . . . . . . . add 7 and simplify
y = 3 . . . . . . . . divide by 3
This value of y matches only answer choice A.
On a scale drawing, a statue is 8.3 inches tall. The scale factor is 212. Find the actual height of the statue.
Answer:
1759.6
Step-by-step explanation:
8.3 multiplied by 212 i think
Giving brainliest
Write the inequality that represents the possible values for x
Answer:
6x +12 < 10
Step-by-step explanation:
а 5. Protein Bar A has 15 grams of protein in
a 40 gram bar. Protein Bar B has 20 grams of protein in a 60 gram bar. Which bar has more protein per gram?
pls help!! the answers are written but can someone explain how to find the angles step by step? I already know how to find the hypotenuse length.
There are a few options we can take. One way is to use the tangent ratio to tie together the opposite and adjacent sides, and then apply the inverse tangent (aka arctangent) to get the angle itself.
Let x be the upper left acute angle, and y be the lower right acute angle.
We can say
tan(angle) = opposite/adjacent
tan(x) = 16/5
x = arctan(16/5)
x = 72.645975 approximately
x = 72.6
and also
tan(angle) = opposite/adjacent
tan(y) = 5/16
y = arctan(5/16)
y = 17.3540246
y = 17.4
Note how x+y = 72.6+17.4 = 90. The two acute angles of any right triangle are complementary, meaning they always add to 90. So if you found x, then you can compute y = 90-x without needing the tangent ratio.
Your calculator needs to be in degree mode when using the arctangent function, which is denoted as [tex]\tan^{-1}[/tex] on many graphing calculators.