Pens Are 4:95
Paper is 3:95
The prices for both the things are $4.95 and $3.95 respectively.
What is a system of linear equations?A system of linear equations is a group of equations having same number of variables and degree.
For the n number of variables n number of equations are required.
On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.
Given that,
The price for 5 packs of paper and 3 packs of pens is $36.60.
And, for 6 packs of paper and 6 packs of pens is $53.40.
Suppose the price of one paper pack be x and of pens be y.
Then, the given case can be written in terms of equation as,
5x + 3y = 36.60 (1)
6x + 6y = 53.40 (2)
Solve the equations by multiplying equation (1) by 4 and (2) by 2 and then subtracting as follows,
2(6x + 6y) - 4(5x + 3y) = 2 × 53.40 - 4 × 36.60
=> 12x - 20x = 106.80 - 146.40
=> -8x = -39.60
=> x = 4.95
Substitute x = 4.95 in equation (2) to get,
6 × 4.95 + 6y = 53.40
=> 6y = 53.40 - 29.70
=> y = 23.70/6
= 3.95
Hence, the prices of one pack of paper and one pack of pens are $4.95 and $3.95 respectively.
To know more about system of equations click on,
brainly.com/question/24065247
#SPJ2
Help please !!! Due at 11:00
What is the area of polygon ABCDE?
Need answers ASAP!
Will give brainliest if possible!!
Answer:
66 cm
Step-by-step explanation:
You can find the area of the rectangle by simply multiplying the sides that are complete and don't touch the triangle. That is equal to 60 cm.
To find the area of the triangle, you first have to find the sides. You can find the first side by subtract the top side of the rectangle from the bottom, which gets us 3 (12-9). Then subtract the left side (5) from the right side (9) (9-5), which gets us 4. That would mean that 3*4*1/2 is equal to 6. 6+60 is equal to 66 cm.
Hope that this helps!
Seo-jun has 32 coins in his pockets. The coins consist of only nickels and quarters. The total value of the coins is $4. How much of each coin does Seo-jun have? Show your work.
Answer:
There are 20 nickels and 12 quarters.
Step-by-step explanation:
20 nickels = 1 dollar.
12 quarters = 3 dollars.
$1 + $3 = $4
2.2
Determine the length of the rectangle if the area is 800 cm² and the breadth is 20 cm
Answer:
40 cm
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = lb ( l is the length and b the breadth )
Here b = 20 and A = 800 , then
l × 20 = 800 ( divide both sides by 20 )
l = 40 cm
The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the base area of the
cone. What is the expression for the volume of the pyramid in terms of the radius r of the cone?
Answer:
jhhfhgk
Step-by-step explanation:
Answer:
Hey, the correct nswer is option A
Step-by-step explanation:
A. V = [tex]\pi[/tex]r3
On Thursday Mia ran 1 5/10 miles Rashid ran 2 4/5 miles how many fewer miles did Mia run than Rashid.
Answer:
[tex]1\frac{3}{10}[/tex]
Step-by-step explanation:
We are to determine the difference between the miles ran by Mia and Rashid.
[tex]2\frac{4}{5}[/tex]- [tex]1\frac{5}{10}[/tex]
Subtract the two whole numbers
divide each denominator by the least common multiple and multiply the figures by the numerator
[tex]1\frac{8-5}{10}[/tex] = 1[tex]\frac{3}{10}[/tex]
A diving board is 10 feet above the surface of the water. At time t = 0, the board propels Chris upward at a rate of 12 feet per second and he enters the water feet first. The equation h = –16t^2 + 12t + 10 can be used to find Chris's height after t seconds. How long will it take Chris to return to his starting height of 10 feet?
Answer:
Chris will take 0.75 seconds to return to his starting height of 10 feet.
Step-by-step explanation:
Let the height of Chris be represented by [tex]h(t) = -16\cdot t^{2}+12\cdot t +10[/tex], where [tex]h(t)[/tex] is the height in feet and [tex]t[/tex], the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:
[tex]-16\cdot t^{2}+12\cdot t +10 = 10[/tex]
[tex]-16\cdot t^{2}+12\cdot t = 0[/tex]
Then, we simplify the expression by algebraic means:
[tex]-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0[/tex]
Roots of the polynomial are, respectively:
[tex]t = 0\,s\,\lor \,t = 0.75\,s[/tex]
First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.
Aaron is on his school's wrestling team. He and his teammates want to paint the school's mascot on the wrestling mats. The T-
shirts sold at Aaron's school show the mascot, a Bulldog, with a nose that is 1.2 cm long and a front paw that measures 4.5 cm
across. If Aaron and his teammates plan to paint an enlarged image of the Bulldog with a nose that is 6 cm long, how long
should they make the front paw?
Answer:
22.5 cm
I hope this answer helps!
What temperature do the thermometer show
Answer:
-12°F
Step-by-step explanation:
Answer:
-12
it should be this
Jonah took out a four year loan for $22,000 to help pay for college. He has to pay 5% simple interest on the loan. How much will he have to pay back at the end of the four years?
Answer:
26,400
Step-by-step explanation:
1) Find 5% of 22,000 by multiplying 22,000 by .05. You should get 1100.
2) Multiply that by 4. (4400)
3) Now add that to the original.
Find the discriminant. (Must Show Work)
-9m^2+m-7=0
Answer:
-251
Step-by-step explanation:
the discriminant .b^2-4ac
=1-4×(-9)×(-7)
=1-252=-251
What’s an equivalent fraction to 5/6 that has a denominator of 12
Answer:
An equivalant faction would be 10/12
Step-by-step explanation:
Answer:
10/12
Step-by-step explanation:
12/6 = 2
5/6 * 2/2 = 10/12
Answer: 10/12
The Davis family is going to reseed the grass in the backyard. Their yard is irregularly shaped with a cement patio and rectangular garden as shown below.
Given that the family will not need grass seed for the patio or the garden areas, what is the total area of the land will they be reseeding?
Answer:
1,482 square feet
Step-by-step explanation:
Find total area - 37 x 46 = 1,702
Find area of patio and garden - 16 x 10 = 160 for the patio, 12 x 5 = 60 for the garden
Subtract from total area - 1702 - 160 = 1542, 1542 - 60 = 1,482 sq ft
A pizza parlor is creating a questionnaire to survey customers about their satisfaction with the taste of their pizzas. Which questions would be considered good questions to include on the survey?
Answer:
On a scale of 1 to 10, how satisfied are you with the taste of our pizzas?
Would you recommend our pizzas to your friends and neighbors? Please answer either yes or no.
Step-by-step explanation:
Question 16
What is the slope of a line passing through (2, 2) and (3,5)?
5 because of slope equation
Pleasee helpp Using the graph, write the equation of the line in fully simplified slope-intercept form.
Answer:
I think it is y=5x+(-3)
Step-by-step explanation:
1) find slope (it's up 5 over 1) simply 5
2) Find y-intercept. point on the y-axis. in this case, it's -3
pls help me 10 points
Answer:
y = -2/3x + 1
Step-by-step explanation:
( -3, 3) and (0,1)
m=(y2-y1)/(x2-x1)
m=( 1 - 3)/(0+3)
m = (-2)/3
m = -2/3
y - y1 = m(x - x1)
y - 3 = -2/3(x + 3)
y - 3 = -2/3x - 2
y = -2/3x + 1
Answer:
y = -2/3x + 1
Step-by-step explanation:
(-3,3) and (0,1)
slope= y2-y1/x2-x1
1-3 / 0+3
-2/3
y = mx + b
y = -2/3x + b
1 = 0 + b
b = 1
y = -2/3x + 1
hope this helps :)))
Divide. Give the quotient and remainder.
20,226/4
Answer:
5,056.5 is the answer of 20226 /4
John volunteers at the animal shelter on weekends. One Saturday, John unloaded 27 bags of dog food. Each bag weighed 35 pounds. How many ounces of dog food did John unload?
Answer:
945 ounces
Step-by-step explanation:
if you read it closley you will find that if you multiply you will get 945 ounces because all you have to do is multipply.
Kayla and Josh are watching marathons of their favorite TV show. Episodes of Kayla's show are 120 minutes long, while episodes of Josh's show are 135 minutes long. If they start their TV binge at the same time, how many minutes will it be before they start another episode at the same time?
9514 1404 393
Answer:
1080 minutes
Step-by-step explanation:
The greatest common factor (GCF) of the two times is 15 minutes, so their least common multiple is (120×135)/15 = 1080 minutes.
In that time, Kayla will have watched 9 shows, and Josh will have watched 8.
It will be 1080 minutes before they start again at the same time.
A contest gives out prizes for first, second, and third place. First place is $500 more than double third place. Second place is $400 less than first place. All together, $1850 is given out in prizes. How much is each prize worth?
9514 1404 393
Answer:
$1000$600$250Step-by-step explanation:
Let t represent the third-place prize value. Then the first place prize has a value of 2t+500, and the second-place prize is 2t+100. The total value of the three prizes is ...
t +(2t+500) +(2t+100) = 1850
5t +600 = 1850
5t = 1250
t = 250 . . . . . . . . . . . third place prize
2t +500 = 1000 . . . . first place prize
1000 -400 = 600 . . .second place prize
The prizes for 1st, 2nd, and 3rd places are $1000, $600, and $250, respectively.
Solve
−2(x+8)+6=7(x−3) for x algebraically. If your answer is a fraction, write it in reduced, fractional form. Do NOT convert the answer to a decimal.
Answer:
x = 11/5
Step-by-step explanation:
-2x - 16 + 6 = 7x - 21
5x - 21 = -10
5x = 11
x = 11/5
Answer:
x = 11/9
Step-by-step explanation:
-2(x + 8 ) + 6 = 7(x - 3) {Use distributive property: a(b +c)= a*b +a*c) }
-2x + 8*(-2) + 6 = 7*x - 3*7
-2x - 16 +6 = 7x - 21 {add 2x to both sides}
-10 = 7x + 2x - 21
-10 = 9x - 21 {add 21 to both sides}
-10 + 21 = 9x
11 = 9x {divide both sides by 9)
11/9 = x
Please please help help ASAP
Answer:
30 inches
Step-by-step explanation:
b1=5 b2=10
5+10=15
15 x 4= 60
60 ÷ 2=30
30 inches
Is the answer
From a boat ont he lake, the angle of elevation to the top of a cliff is 11° 50'. If the base of the cliff is 1568 feet from the boat, how high is the cliff (to the nearest foot)
Answer:
328 feet
Step-by-step explanation:
From a boat ont he lake, the angle of elevation to the top of a cliff is 11° 50'. If the base of the cliff is 1568 feet from the boat, how high is the cliff (to the nearest foot)
Step 1
Note that
that 11°50' is just 11 degrees and 50 minutes
60 minutes = 1 degree,
thus 50 minutes = x degree
50/60 degrees
= 0.83°
Hence: 11°50' = 11.83°.
Step 2
We solve using Trigonometric function of tan
tan theta = Opposite/Adjacent
theta = 11.83°
Adjacent = 1568 feet
Opposite = Height of the cliff = x
tan 11.83° = x/1568
Cross Multiply
x = tan 11.83 × 1568
x = 328.429195 feet
Approximately = 328 feet
The height of the cliff is 328 feet
On an English exam, a student can make one of four grades. 40 students who took the exam were randomly selected and surveyed about the grade they earned and the results are listed in the table below. Based on the data in the table, determine whether each statement is true or false if 300 students took the exam.
A student was more likely to earn a B than a D.
Answer:fffffff
Step-by-step explanation:fffffffff
The surface of a trampoline has a radius of 6 ft.
What is the area of the surface of the trampoline?
36π ft²
18π ft2
36 ft2
18 ft2
Answer:
36π ft²
Step-by-step explanation:
please mark me as brainliest
Answer:
the area of the surface of the trampoline with radius =πr²=π×6²=36πft²
-11/6 + m equals -2 / 9
find the greatest Common factor Of the Monomials 14p^2, 21pq and 35q2 is?
Please Help :(
Answer: the greatest common factor is 7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Which expression is equivalent to 4(x-3) ?
Group of answer choices
x-12
4x-12
4x-3
12x
Answer:
To find the answer you just have to solve 4(x-3)
Step-by-step explanation:
4(x-3)=4x-12
So B or 4x-12 is correct.
pls find both roots
[tex]t = \sqrt{\frac{8t + 24}{16} }[/tex]