Answers
Answer:
length= 35 feet and width= 10 feet
Step-by-step explanation:
You are given the perimeter of the rectangular deck is
90 feet.
2 x length + 2 x width = 90 You are also given that the deck's length is 5 feet less than 4 times it's width. That is length = 4 x width - 5
Those two equations are your system of linear equations. The second equation can be plugged into the first equation. This gives us an equation entirely in terms of width.
2x (4 x width - 5) + 2 x width =90
Distribute the 2 though
8 x width - 10 + 2 x width = 90
Combine like terms with width.
10 x width - 10 = 90
Add 10 to both sides.
10 x width = 100
Divide both sides by 10 width = 100
Now you can plug width into your original equation for length above. Recall: length = 4 x width - 5
Length = 4 x 10 - 5
Length = 40 - 5
Length = 35
Related Questions
what is the surface area of a right pyramid with a slant hight of 12 inches and a square base of 8 inches?
Answers
Answer:
96, hope this helps
Step-by-step explanation:
12 x 8 = 96
A summer camp cookout is planned for the campers and their families. There is room for 200 people. Each adult costs $4, and each camper costs $3. There is a maximum budget of $750. Write the system of inequalities to represent this real-world scenario, where x is the number of adults and y is the number of campers. x + y ≤ 200 4x + 3y ≤ 750 x + y ≤ 750 4x + 3y ≤ 200 x + y ≤ 200 3x + 4y ≤ 750 x + y ≤ 750 3x + 4y ≤ 200
Answers
Answer:
I think its A
Step-by-step explanation:
The required system of inequalities is x + y ≤ 200 and 4x + 3y ≤ 750. Hence, the first option is the correct choice.
What is inequality?Inequality is a non-equal relation between two expressions involving variables and constants.
The sign of the inequality can be, less than (<), greater than (>), less than or equal to (≤), or greater than or equal to (≥).
How to solve the question?In the question, we are asked to write the system of inequalities to represent the given scenario, where x is the number of adults and y is the number of campers.
We are informed that there is a room for 200 people.
Thus, the total number of people, that is, the number of adults + the number of campers, or, x + y should be less than or equal to 200.
This gives us an inequality:
x + y ≤ 200.
We are informed that the cost of an adult is $4 and the cost for a camper is $3, and the total budget is $750.
Thus, the total cost, that is, the cost of all adults + the cost of all campers, or, 4x + 3y should be less than or equal to 750.
This gives us an inequality:
4x + 3y ≤ 750.
Thus, the required system of inequalities is x + y ≤ 200 and 4x + 3y ≤ 750. Hence, the first option is the correct choice.
Learn more about writing inequalities at
https://brainly.com/question/27485614
#SPJ2
It takes Zack 15 minutes to walk 7 1/2 blocks to the swimming pool. At this rate, how many blocks can he walk in one minute?
A. 1/5 Block
B. 1/2 Block
C. 2 Blocks
D. 5 Blocks
Answers
Answer:
I think its 1/2 hope this helps
Step-by-step explanation:
Answer:
1/2 Block (B)
Step-by-step explanation:
7 1/2 divided by 15 is 1/2.
Which equation has a solution of t = 14?
Answers
Multiplying by reciprocal which is 14, on both sides.
t=14!
please help I will give you brainliest please its due tomorrow and I'm stressing so much
Answers
Answer:
(-21)+1/2
Step-by-step explanation:
Just guess tbh
Which system of equation is equivelent to the following system? 3x+5y=26 x+4y=16
Answers
yuuuuhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Malia works at a movie theater and is paid hourly. One month, she earned $263 The total amount she earns can be found using the equation y = 7.5x, where x is the number of hours she works and y is the total amount she earns in dollars.
Bill works at a golf course and is also paid hourly. This table shows the total amount he is paid for different numbers of hours worked.
Who makes more pay per hour?
Answers
8.05>7.5
Have a good day to
If the perimeter of a regular pentagon can be expressed as 10s - 20, determine the length of each side.
50 s - 100
5 s - 10
s - 2
2 s - 4
Answers
Answer:
2 s - 4
Step-by-step explanation:
A Regular pentagon means that it has 5 evenly lengthen sides. In other words, the shape with 5 sides has lengths are equal to each other.
Because the total perimeter as mentioned of the pentagon is 10s - 20,
dividing it by 5 should find the length of each side!
Equation: (10s - 20) / 5
Once you finish dividing each digit inside the bracket you are done!
= 2s - 4
So that leaves us with 2s-4
Answer:
2 s - 4
Step-by-step explanation:
The graph shows the prices for pizzas from three different restaurants according to quantity. Use the graph to answer the following questions.
Answers
Answer:
1. Mom's pizza
2. Pizza Heaven
3. Pizza pies
4. None of them
Step-by-step explanation:
trust the calculator
Please help I cant do this
Answers
Answer:
a-1/27 b-2835
Step-by-step explanation:
a
(1/3)(1/3)(1/3)
b
7x3x5 나누기 1/27
CANUHELPMEPLAESE PLZ
Answers
Answer:
The answer is 8$ less
Step-by-step explanation:
find 15% of 40 = 6 and 35% of 40 = 14
Subtract 6 from 40 and 14 from 40
get 34 and 26
subtract 26 from 34
taadaa
Helppppp someone answered the first half but I need the second half
Answers
Answer:
i think its 182 dollars
Step-by-step explanation:
Help I need to do this my 11:59
Answers
Answer:
5
Explanation:
-5=-10+?
+5
-5=-5
An artist builds a sculpture out of metal and wood that weighs 14.9 kilograms. ¾ of this weight is metal, and the rest is wood.
How much does the wood part of the sculpture weigh?
Answers
Answer:
I think you would have to convert 14.9 kg to fraction and multiply by 3/4
Answer:
convert 14.9 kg to fraction and multiply by 3/4
Step-by-step explanation:
:P
Does anyone have any ideas for multiplying 249 times 398 quickly and mentally? Everything online is too complex.
Answers
Answer:
So, the first solution is a calculator but sometime we don't have a calculator so, do
200 X 300 = A
40 X 90 = B
9 X 8 = C
then add just do multiplication from there like
A + B = D
D + C = E
Then your finally answer would be E
Hope that helps that's the way I do math quick in my head
(Btw the answer to 249 X 398 = 63,672 )
Construct a scatterplot and identify the mathematical model that best fits the data. Assume that the model is to be used only for the scope of the given data and consider only linear, quadratic, logarithmic, exponential, and power models. Use a calculator or computer to obtain the regression equation of the model that best fits the data. You may need to fit several models and compare the values of R2.
y = 8.14x0.58
y = 7.04 + 2.36x
y = 0.01x2 + 2.19x + 7.53
y = 4.40 + 12.02 ln x
Answers
Answer: i think its y=8.14x0.58
Step-by-step explanation:
ΔABC is an isosceles triangle with AB = AC, D is the midpoint of BC and
AD is joined. Prove that ΔABD ≅ ΔACD.
I kinda have a problem with triangles and congruency....little help please ?
Answers
Step-by-step explanation:
Okay, so the triangle would look something like this:
see the image attached
Since AB=AC, which is given; <ABD = <ACD, because they are the angles opposite from the congruent sides of the isosceles triangle; and <ADB=<ADC, as AD is the bisector*; ΔABD ≅ ΔACD using SAA/AAS (side-angle-angle) congruencey.
*If the bisector of an angle in a triangle meets the opposite side at its midpoint, then the triangle is isosceles, and vice versa
(I haven't done Geometry in a while so I hope that's correct :) )
Sapatra spent $80 at Mr. and Mrs. Crab. She left a tip of 20%. How much was the tip she left?
Answers
Answer:
$16
Step-by-step explanation:
So Sapatra spent $80 at Mr. and Mrs. Crab and She left a tip of 20%. We can convert 20% into a decimal, that would be .2 when you move your decimal from the left 2 times and multiply 80 by .2. meaning her tip she left is $16
To make orange fizz, Noah mixes 4 scoops of powder with 6 cups of water. Andre mixes 5 scoops of powder with cups of water. Create a double number line or a table that shows different amounts of powder and water that taste the same as Noah’s mixture.
Answers
Answer:
Noah mixes 4 scoops of powder with 6 cups of water.
Means Noah ratio will be or 0.67
Andre mixes 5 scoops of powder with 8 cups of water
Means Andre ratio will be or 0.62
As, or 0.66 > 0.62
We can say that content of orange powder will be more in Noah mixture than in Andre's Mixture.
Hence, Noah's mixture will taste more like orange, than Andre's mixture.
Step-by-step explanation:
Solution:
Noah mixes 4 scoops of powder with 6 cups of water.
scoops of powder cups of water.
1 1.5
2 3
3 4.5
4 6
5 7.5
6 9
7 10.5
8 12
9 13.5
10 15
Andre mixes 5 scoops of powder with 8 cups of water.
scoops of powder cups of water.
1 1.6
2 3.2
3 4.8
4 6.4
5 8
6 9.6
7 11.2
8 12.8
9 14.2
10 16
For Same scoops of powder , water is more in Andre
Answer:
Hope this is right and it helps
in real life how is slope-intercept form used
Answers
Real-life applications of slope inculde roofs, roads, handicap ramps, funiculars, cable cars, mountains for skiing, downhill cycling, and snowboarding/dirtboarding, roller coasters, skate ramps, and BMX jumps.
In a video game, a guppy that escapes a net turns into three goldfish. Each goldfish can turn into two betta fish. Each betta fish can turn into two angelfish. Enter and evaluate an expression for the number of angelfish that can be formed from one guppy.
What is an expression?
Setup _=_
Answers
....................
Answer:
2 angelfish
Step-by-step explanation:
2 angelfish equals 1 guppy
Write an equation for each line
a. The equation for line l is [A1].
b. The equation for line m is [A2].
c. The equation for line n is [A3].
d. The equation for line p is [A4].
Answers
Hellppp meeeeeeee PLEASEEEEE:c.
Answers
You can give the unknown value as x to make things easier
( x + 1.75 ) / 2 = -5.1
Find the value of x:
x + 1.75 = –5.1 x 2
x + 1.75 = -10.2
x = -10.2 – 1.75
x = -11.95
Not sure abt the simplified mixed number sorry tho -11.95 gives an answer of -239/20 on a calc
Answer: Answer is -11.95
You can give the unknown value as x to make things easier
( x + 1.75 ) / 2 = -5.1
Find the value of x:
x + 1.75 = –5.1 x 2
x + 1.75 = -10.2
x = -10.2 – 1.75
x = -11.95
:)
Step-by-step explanation:
find the fraction form
percents-12 1/2,25,37 1/2,50,62 1/2,75,87 1/2
Answers
Answer:
1/8
Step-by-step explanation:
Use this information to answer Parts A, B, C, and D.
Regina is buying a new car. She sees two advertisements in the paper for the same car at two different prices from two different dealerships. Both dealers are offering a simple-interest loan for the price of the car.
A photo of car includes two ads. Ad A shows the vehicle priced at twenty-four thousand two hundred dollars at six point five percent interest and an unknown number of years. Ad B shows an unknown price, at a five point three percent interest over nine years.
Part A
Regina calculates that to buy the car in Ad A, the loan would ultimately cost her $41,503. Over how many years is the loan in Ad A to be paid back?
Part B
Regina calculates that to buy the car in Ad B, the loan would ultimately cost her $38,402. What is the price of the car offered in Ad B?
Part C
In either case, Regina would be paying back the dealer in equal monthly installments over the lifetime of the loan. What would her monthly payments be if she bought the car shown in Ad A? What about if she bought the car shown in Ad B?
Part D (Its a multi-pick question, so you don't need to answer)
Answers
John had $26 to spend on eight paintbrushes for his art class. After buying them, John had $10 left. How much did each of the paintbrushes cost?
PLSS HELP ME
Answers
Answer:
Each paint brush cost 2 dollars
Step-by-step explanation:
all u do is subtract 10 from 26 witch leaves 16 so 16 divided by 8 is 2 and to check work divide 16 by 2 and u get 8
switch the colurrr-cxk
pls help me and my mom can not figure it out
Answers
The y axis stays the same and x flips
Answer:
Step-by-step explanation: when you reflect it on y-axis you get exactly same coordinates with plus value for x but y value will remain negative, so it will be +2.7 and -6.4.
After sales tax, A $96 watch costs $101.28. what is the sales tax percentage?
Answers
Answer:
i think it's 5.5 percent
Answer: The answer is 5.5% sales tax percentage
Step-by-step explanation:
First, subtract the total amount by the original amount
$101.28-$96= 5.28
Next, you would divide 5.28 by 96
5.28/96 = 0.055
The final part in which to get the answer is to multiply 0.055 with 100%
0.05·100= 5.5%
3x + 2 = 32
What is x?
Answers
Answer:
x = 10
Step-by-step explanation:
3x + 2 = 32
=> 3x = 30
=> x = 10
Hoped this helped.
Find each product. Enter your final answer as a simplified fraction. (− 23 ) (− 38 ) ( 89 ) The product is
Answers
Answer:
Negative 23 time negative 38 equals 552 because negative times negative gives positive
552 times 89 gives 49128
Step-by-step explanation: