Solve these simultaneous equations.
3 pillows and 5 quilts cost £49
5 pillows and 5 quilts cost £55
Find the cost of one of each.
Answers
Answer:
pillow cost 3, quilt costs 5
Step-by-step explanation:
let p represent pillow and q represent quilt
rest is in pic attached
Related Questions
Mr. Hammar is painting his house. He uses a 16 foot extension ladder to reach the top peak of the house. The ladder is positioned 5 feet away from the house. How far up the house does the ladder reach? Round your answer to the nearest tenth.
Answers
Step-by-step explanation:
For every 4 feet that the ladder rises, the bottom of the ladder should be 1 foot away from the wall. If you are going to climb onto a roof, the ladder should extend 3 feet higher than the roof. Also, the upper and lower sections of an extension ladder should overlap to provide stability
1. Shannon is conducting an experiment where she flips a coin and then rolls a six sided die. How many total possible outcomes are there in this experiment？
1. 8
2. 12
3. 14
2. How many possible outcomes are there when Shannon flips a head and rolls an even number?
1. 3
2. 4
3. 6
3. What is the theoretical probability that Shannon flips a tail and rolls a two?
1. 2/12
2. 1/12
3. 3/12
Answers
Answer:
1. - (C) 14
2. - (B) 4
3 - (A) 2/12
PLEASE HELP ME !!!!!!!!
Answers
Answer:
54
Step-by-step explanation:
90-36=54
Answer:
Angle X is 90-36 = 54 degrees
One polygon has a side of length 2 feet. A similar polygon has a corresponding side of length 4 feet. The ratio of the
perimeter of the smaller polygon to the larger is 2/1 or 1/2 or 1/4
Answers
A paper manufacturer packages twelve reams of paper in a box—in three stacks of four reams. A ream of paper weighs 5 pounds and has dimensions of 8.5 inches by 11 inches by 2 inches. Identify three unique ways to package the paper given the new weight condition. Include both the dimensions of the new boxes, as well as a verbal description of how the reams will be packaged. You may include sketches if you wish. I need three ways
Answers
Answer:
The three ways are;
1) Two stacks of six reams
2) Four stacks of three reams
3) Four stacks of three reams arranged two by two
Step-by-step explanation:
The parameters given are;
Dimensions of one ream of paper = 8.5 in. by 11 in. by 2 in.
The number of reams of paper = 12
The three unique ways are;
1) Two stacks of six reams
Box dimension = 6 × 2 in. by 2 × 8.5 in. by 11 in. = 12 in. by 17 in. by 11 in.
Box dimension of new box = 12 in. by 17 in. by 11 in.
2) Four stacks of three reams
Box dimension = 3 × 2 in. by 4 × 8.5 in. by 11 in. = 6 in. by 34 in. by 11 in.
Box dimension of new box = 6 in. by 34 in. by 11 in.
3) Four stacks of three reams arranged two by two
Box dimension = 3 × 2 in. by 2 × 8.5 in. by 2 × 11 in. = 6 in. by 17 in. by 22 in.
Box dimension of new box = 6 in. by 17 in. by 22 in.
what do you think that ADA has explicit regulations on slopes and ramps?
Answers
Answer:
I think that the ADA (Americans with Disabilities Act) has explicit regulations on slopes and ramps so that people with disabilities can go about their daily life easier, and to guarantee the safety and wellbeing of the disabled. If, for instance, a wheelchair ramp were too steep, there would be a danger of the wheelchair rolling down too quickly, or the person falling backward on their way up.
Please help! For the function f(x) = 2x^6 + 3x^4 - 4x^3 + (1/x) - sin(2x) find the first four derivatives.
Answers
Answer:
See the explanation
Step-by-step explanation:
We know that
f(x) = 2x⁶ + 3x⁴ - 4x³ + (1/x) - sin2x
Lets calculate the derivatives:
f'(x) = 6(2x⁵) + 4(3x³) - 3(4x²) -( 1/x²) - 2(cos2x)
f'(x) = 12x⁵ + 12x³ - 12x² - (1/x²) - 2cos2x
Similarly:
f''(x) = 60x⁴ + 36x² - 24x + (2/x³) + 4sin2x
f'''(x) = 240x³ + 72x - 24 - (6/x⁴) + 8cos2x
Rearrange:
f'''(x) - 240x³ +72x - (6/x⁴) + 8cos2x - 24
f''''(x) = 720x² + 72 + (24/x⁵) - 16sin2x
Rearrange:
f''''(x) = 720x² + (24/x⁵) - 16sin2x +72
True of False: The graph of a rational function R never intersects a vertical asymptote. True or False: The graph of a rational function R never intersects a horizontal asymptote. True or False: The graph of a rational function R never intersects an oblique asymptote.
Answers
Answer:
All true
Step-by-step explanation:
By definition, an asymptote is a line at which the values of the function approach but never reach as one or both of the x or y coordinates tends to positive or negative infinity. Therefore, the graph of a rational function R never intersects any of its asymptotes.
Tanisha is going bowling with her friends. It costs $3.00 to rent a pair of shoes and $4.50 per game. If Tanisha has $16.50, which equation can she use to determine how
many games, g, she can bowl?
1.3g + 4.50 = 16.50
2.4.50g + 3 = 16.50
3.3(9 + 4.50) = 16.50
4.3+4.50 + 16.50 = g
pls help
Answers
Solve: 2 ln 3 = ln(x - 4) x = 9 x = 10 x = 13
Answers
Solve: 2 ln 3 = ln(x - 4)
a)x = 9
b)x = 10
c)x = 13
Answer:
x = 13
Step-by-step explanation:
To solve the problem above, we will follow the steps below;
2 ln 3 = ln(x - 4)
[using logarithm rule aInb = Inbᵃ]
so also our equation becomes
In 3² = In (x-4)
The In at the left-hand side of the equation will cancel-out the In at the right-hand side of the equation
Our equation becomes;
3² = x- 4
9 = x-4
add 4 to both-side of the equation in other to make x subject of the equation
9 + 4 = x-4 + 4
13 = x
x = 13
Answer:
C on Edge x = 13 x =
-4 and x = 4
the solution is x = 4
Step-by-step explanation:
I just did the assignment on edge.
Help Idk the way to do it
Answers
Answer:
x=3
Step-by-step explanation:
If the triangles are congruent
13 = 4x+1
subtract 1 from each side
13-1 = 4x+1-1
12=4x
Divide by 4
12/4 = 4x/4
3=x
Answer:
3
Step-by-step explanation:
If the two triangles are congruent then:
13=4x+1
13-1=4x+1-1
12=4x
x=3
Hope this helps!
Pls Need Help!
Triangle Q S R. Angle Q is 98 degrees and angle R is 37.6 degrees. Triangle T U V. Angle U is 98 degrees and angle V is 37.6 degrees.
Which statement is not true about these triangles?
A. ∠Q ≅ ∠T based on the third angle theorem.
B. ∠S corresponds to ∠V.
C. ∆QRS ~ ∆TVU based on the angle-angle criterion.
D. ∆RQS ~ ∆VTU based on the angle-angle criterion.
Answers
Answer: ∠S corresponds to ∠V.
The solution is Option B.
The measure of angle ∠S corresponds to ∠V
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the first triangle be ΔQSR
Let the second triangle be ΔTUV
Now , the measure of ∠Q = 98°
The measure of ∠R = 37.6°
The measure of ∠U = 98°
The measure of ∠V = 37.6°
So , the measure of the third side of the triangles is
The measure of ∠S = measure of ∠T = 180 - ( 98 + 37.6 )
The measure of ∠S = measure of ∠T = 44.4°
And , ∆QRS ~ ∆TVU based on the angle-angle criterion
So , ∠Q ≅ ∠T based on the third angle theorem
And , ∆RQS ~ ∆VTU based on the angle-angle criterion
Hence , the false statement is ∠S corresponds to ∠V.
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what is the sqaure root of 64?
Answers
Answer: 8
Step-by-step explanation:
Billy’s Boat Rentals charges a yearly fee of $105 and $9.50 each time a member wants to rent a boat. Lisa’s Boat Rentals does not charge a yearly fee but charges $14.75 every time a member rents a boat. How many times does a person have to rent a boat for Billy’s and Lisa’s to cost the same amount?
A.10
B.15
C.20
D.30
Answers
Answer:
C. 20
Step-by-step explanation:
105 + 9.5x = 14.75x
105 = 5.25x
20 = x
84 is 30% of what number?
2.8
25.2
280
2520
Answers
The right answer is 280
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
84 is 30% of 280
Step-by-step explanation:
Write and solve this equation: 84 = 0.30n, where n is the unknown number.
Then n = 84 / 0.30 = 280
84 is 30% of 280
A bakery is 10 yards wide and 17 yards long. The baker wants to put a wooden shelf around the inside of the bakery. The wooden shelving costs $10.82 per yard. How much will the baker's shelf cost?
Answers
Answer:
$584.28
Step-by-step explanation:
first, add up the yards around the perimeter of the bakery. 10 + 10 + 17 + 17 = 54. Then, multiply 54 by 10.82 to get the cost of the shelf.
54 x 10.82 = 584.28
what is 5x+ x - 7-8 + 365 solve it plz
Answers
Answer:
x = -58.3
Step-by-step explanation:
6x - 15 + 365 - simplifly terms
6x + 350 = set to equal sides
6x = -350
x = -58.3
What is the sum of the series?
10
Σ(7k– 2)
k=1
Answers
Answer:
365
Step-by-step explanation:
The simplest method is to substitute values of k = 1 to 10 into the expression and sum the terms, that is
7(1) - 2 + 7(2) - 2 + 7(3) - 2 + 7(4) - 2 + 7(5) - 2 + 7(6) - 2 + 7(7) - 2 + 7(8) - 2 + 7(9) - 2 + 7(10) - 2
= 5 + 12 + 19 + 26 + 33 + 40 + 47 + 54 + 61 + 68
= 365
Lesson 1 exit ticket Name
Please make a copy and then work on it, thank you!
1, Fill in the chart converting between fractions, decimals and percents.
Fraction mmmmmmmmDecimal mmmmmmmmPercent
⅛ mmmmmmmmmmm0.125mmmmmmmmmm12.5%
1245/1000 mmmmmm1.245 mmmmmmmmmm124.5%
40/100mmmmmmmm.4mmmmmmmmmmmm ⅖ %
I wrote the letter m to seperate nothing other works here.
Show your work here.
8 times .125 = 1 that is 12.5%.
1.245 = 1245/1000 which is 124.5%.
⅖% is 40% which equals 0.4 or 40/100
2. Using the values from the chart in problem 1, list them from least to greatest.
12.5%
⅖%
124.5%
Answers
Step-by-step explanation:
To find the answer, you would have to first put 2/5 in a decimal form. 2/5 in decimal form would be 40%. Now, it becomes easier to list the values.
Answer:
12.5%, 40%, 124.5%
I would appreciate if you mark me as branliest!
the sum of two numbers is 90 .the larger number is 14 more than 3 times the smaller number.
Answers
Answer:
The numbers are 19 and 71.
Step-by-step explanation:
Let x and y represent the two numbers. Then x + y = 90.
Also, if we assume that the larger number is y, then y = 3x + 14.
We must solve this system of linear equations. Since we already have the result of solution for y (y = 3x + 14), let's use the substitution method to find the solution:
x + y = 90 becomes x + 3x + 14 = 90, or:
4x = 76. Thus, x = 76/4, or 19. If x = 19, then y = 3(19) + 14, or y = 71.
The numbers are 19 and 71.
Note that these add up to 90, as they must, and that 71 is 14 more than 3 times 19.
algebra applications: find the value of x and y
Answers
Answer : The value of x and y is 8 and 10 respectively.
Step-by-step explanation :
As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.
From the given figure we conclude that:
[tex]5x-y+150=180[/tex] ...........(1)
[tex]5x-y=180-150[/tex]
[tex]5x-y=30[/tex] ............(2)
[tex]5x+y+130=180[/tex] ...........(3)
[tex]5x+y=180-130[/tex]
[tex]5x+y=50[/tex] ...........(4)
Now we adding equation 2 and 4, we get the value of x.
[tex]5x-y+5x+y=30+50[/tex]
[tex]10x=80[/tex]
[tex]x=8[/tex]
Now we are putting the value of x in 4, we get the value of y.
[tex]5x+y=50[/tex]
[tex]5(8)+y=50[/tex]
[tex]y=50-40[/tex]
[tex]y=10[/tex]
Therefore, the value of x and y is 8 and 10 respectively.
Use the following information for #19
Connor makes $120 for every 10 hours he works.
#19 If Connor earns $300, how many hours has he worked?
Answers
Answer:
25 hours
Step-by-step explanation:
$120 for every 10 hours
$12 for every hour
$300/12= 25 hours
What is the area of a rectangle that has a length of 16.17 and a width of
8.75? DO NOT ROUND. *
Answers
Answer:
A =141.4875
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
A = 16.17 * 8.75
A =141.4875
Please Help!!! What is the slope of the line in the graph!!! Braniest will be given!!!
Answers
Answer:
m= 1/2
Step-by-step explanation:
Not sure if this is right but I hope this helps :)
Answer:
1/4
Step-by-step explanation:
We can see that two points on the line are (0, 4) and (4, 5). Using the slope formula (y₂ - y₁) / (x₂ - x₁) we get (5 - 4) / (4 - 0) = 1/4.
Which expression is equivalent to x^2-10x+24
Answers
Answer:
(x-4)(x-6)
Step-by-step explanation:
By factorization, x^2-10x+24 can be written in the form (x-4)(x-6). Thus the roots of the quadratic equation are x= 4 and 6 respectively.
Which of the following is an offer? Select one: a. Hedva walks into the Ferrari Dealership and says, “I am going to buy a car.” b. Lucy says to Zehmer “I bet you wouldn’t sell this house for $50,000.” c. "This car isn't worth what you're charging. d. Bruo says, “I will pay $25 for this book.”
Answers
Answer:
D, "I will pay $25 for this book."
Step-by-step explanation
How are the following three expressions different from each other, if indeed they are? do not just state the value of each but explain what may be the same or different. Be as specific as you can be in your response.
1.(-2)^2
2.-2^2
3. -(2)^2
Answers
Answer:
Below.
Step-by-step explanation:
Number is different to the other 2. Its value is +4 because negative 2 squared = + 4.
The other 2 have negative values and -2 = -(2) so they have the same value, -4.
what is 12000 mutiplyed by 180000
Answers
Answer:
The Answer is 2160000000
Answer:2160000000
Step-by-step explanation:
Find the distance between k and l
Answers
4. A group of friends rents a boat to spend an afternoon on a lake. The boat rental has a flat fee of $180 for up to three hours and $50 per hour for each additional hour. The first four passengers are included in this cost, but $20 is charged for each additional passenger. Write a linear equation to describe this situation, where c is the total cost of the rental, h is each additional hour (over 3) and p is each additional passenger (over 4).
options:
A. c = 230h + 20p
B. c + 180 = 50h + 20p
C. c = 180 + h + p
D. c = 180 + 50h + 20p
Answers
Answer:
it is D c= 180 + 50h + 20p
Step-by-step explanation:
c is the total cost and the boat is 180 but for additional hour it would be +$50
now the first four passenger is free but if another person comes on then it would be +$20 hope this help
The linear equation which describes the total cost of the rental is c = 180 + 50h + 20p
The correct option is an option (D)
What is a linear equation?"It is an equation in which the highest power of the variable is always 1."
For given example,
The boat rental has a flat fee of $180 for up to three hours.
Fixed rental cost = 180 ...............(1)
The boat rental has $50 per hour for each additional hour.
Let, h is each additional hour (over 3)
So, the rental cost for each additional hour = 50h .............(2)
The first four passengers are included in this cost, but $20 is charged for each additional passenger.
Here, p is each additional passenger (over 4)
So, the rental cost for each additional passenger = 20p ..................(3)
From (1), (2) and (3),
the required linear equation would be,
c = 180 + 50h + 20p
Therefore, the linear equation which describes the total cost of the rental is c = 180 + 50h + 20p
The correct option is an option (D).
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