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,
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9. What is the solution to this equation? 2x + 10 = 28 help
Answer: x=9
Step-by-step explanation:
2x+10=28
2x=18
x=9
Answer:
9
Step-by-step explanation:
because 2 times 9 is 18 then plus 10 equals 28
what the distance from c to d
Answer:
i think that the answer is 7 units
Step-by-step explanation:
let me know if im wrong
Answer:
5
Step-by-step explanation:
it was correct for me
plsss help i’ll give brainliest if you give a correct answer
Answer:
7
Step-by-step explanation:
9w = 63
9w/9 = 63/9
w = 7
Answer:
I'm pretty sure it's 7. I hope that helps
Step-by-step explanation:
Reflect across the x-axis.
A (-1, 6) B (5, 14) C (-1, 14)
Post Image Coordinates:
A’ ________ B’ ________ C’ ________
helppppppppppppppp plsssssssssssssssss
Answer: 41, think of PEMDAS while reviewing. Good luck!
Step-by-step explanation:
80 + 6(-5) + (-9)
80 + (-30) + (-9)
80 + (-39)
= 41
Lella is fertilizing her garden. The garden is in the shape of a rectangle. Its length is 14 feet and its width is 11 feet. Suppose each bag of fertilizer covers 22
square feet. How many bags will she need to cover the garden?
Answer:
Step-by-step explanation:
14ft(11ft)(b/22ft^2)=7b
She will need 7 bags of fertilizer.
Veronica bought a pack of 50 CDs. She gave 8 to her friend, Leslie. Then she made 6 equal sets of CDs. How many CDs are in each set?
Answer:
8 CDs
Step-by-step explanation:
Veronica started with 50 CDs
After giving 8 CDs to Leslie, Veronica now has 42 CDs
Now Veronica made 6 equal sets
Hence, 42/6 = 8
So there are 8 CDs in each set.
Evaluate b2c-1 for b = -4 and c = 2.
-8
4
8
32
Answer:
-8
the way you meant to write it was -4^2 x 2^-1
Step-by-step explanation:
Answer:
it is 8 but it's not negative 8
I tried negative 8 and it said it was wrong so it must be 8
PLEASE HELP IM GONNA FAIL WILL GIVE BRAINLESS
Answerloser
Step-by-step explanation:
Mai has a dome paperweight that she can use as a magnifier. The paperweight is
shaped like a hemisphere made of solid glass, so she wants to design a box to keep it in
so it won't get broken. Her paperweight has a radius of 3 cm.
What should the dimensions of
the inside of box be so the box is
as small as possible?
What is the volume of the box?
If the radius is 3, what's the diameter?
50 points and Ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)
2 pages with work
Answer:
1) (x + 12)²+(y+6)²= 28
comparing above equation with(x-h)²+(y-k)²=r²
we get
r=√28
h=-12
k=-6
;.centre=(-12,-6)
radius =√28 units
2) x²+(y+7)²=15
comparing above equation with(x-h)²+(y-k)²=r²
we get
r=√15
h=0
k=-7
;.centre=(0,-7)
radius=√15 units
3) (x + 4)²+(y - 1)² = 4
comparing above equation with(x-h)²+(y-k)²=r²
we get
r=√4=2units
h=-4
k=1
;.centre=(-4,1)
radius=√2units
4) (x+3)²+(y-1)²= 8
comparing above equation with(x-h)²+(y-k)²=r²
we get
r=√8=2√2units
h=-3
k=1
;.centre=(-3,1)
radius=2√2units
Help with the question below
Answer:
51
Step-by-step explanation:
24 ^2+45^2=x^2
=51
in the sequence: 67, 55, 46, 34, 25,…, what number should come next?
a) 16
b) 13
c) 15
d) 19
Answer:
b) 13
Step-by-step explanation:
67 - 55 = 12
55 - 46 = 9
46 - 34 = 12
34 - 25 = 9
25 - x = 12
rearrange that so,
25 - 12 = x
x = 13
Answer:
b) 13
Step-by-step explanation:
67 - 12 = 55
55 - 9 = 46
46 - 12 = 34
34 - 9 = 25
pattern: subtract 12, subtract 9
the pattern tells us to subtract 12, so take take 25 and subtract 12 from it:
25 - 12 = 13
What is radiant energy from the sun called
Answer:
Ultraviolent radient energy
what's the surface area ratio & the volume ratio??
please help me ASAP!!
Answer:
Step-by-step explanation:
Volumes of two spheres A and B = 648 cm³ and 1029 cm³
Things to remember:
1). Scale factor of two objects = [tex]\frac{r_1}{r_2}[/tex] [[tex]r_1[/tex] and [tex]r_2[/tex] are the radii of two circles]
2). Area scale factor = [tex]\frac{(r_1)^2}{(r_2)^2}[/tex]
3). Volume scale factor = [tex]\frac{(r_1)^3}{(r_2)^3}[/tex]
Volume scale factor Or Volume ratio = [tex]\frac{V_A}{V_B}[/tex]
[tex]\frac{(r_1)^3}{(r_2)^3}= \frac{648}{1029}[/tex]
[tex]\frac{r_1}{r_2}=\sqrt[3]{\frac{648}{1029} }[/tex]
[tex]\frac{r_1}{r_2}=\frac{6(\sqrt[3]{3})}{7(\sqrt[3]{3})}[/tex]
[tex]\frac{r_1}{r_2}=\frac{6}{7}[/tex]
Therefore, scale factor = [tex]\frac{r_1}{r_2}=\frac{6}{7}[/tex]
≈ 6 : 7
Area scale factor Or area ratio = [tex](\frac{r_1}{r_2})^2=(\frac{6}{7})^2[/tex]
= [tex]\frac{36}{49}[/tex]
≈ 36 : 49
Volume scale factor or Volume ratio = [tex]\frac{648}{1029}[/tex]
= [tex]\frac{216}{343}[/tex]
≈ 216 : 343
4. Find the coordinates in the table after a translation 3 units right and 4 units down followed by a reflection over the x-axis. (show the notation for each transformation)
A 12.5-foot ladder is leaning against the side of a house. If the ladder is resting 12 feet off the ground, how far is the ladder from the house?
A. 2 feet
B. 3.5 feet
C. 6.25 feet
D. 7 feet
Answer:
B. 3.5 feet
Step-by-step explanation:
The part leaning against the wall is the hypotenuse while the height of the ladder off the ground is the opposite and the distance of the ladder from the house is the adjacent side.
Given the following data;
Hypotenuse = 12.5 ft
Opposite = 12 ft
To find the adjacent side, we would use the Pythagorean theorem;
Hypotenuse² = opposite² + adjacent²
Substituting into the formula, we have;
12.5² = 12² + adjacent²
156.25 = 144 + adjacent²
Adjacent² = 156.25 - 144
Adjacent² = 12.25
Taking the square root of both sides, we have;
Adjacent = 3.5 feet.
Therefore, the distance of the ladder from the house is 3.5 feet.
warm up !!!!!!!!!!!!
Answer:
Option C. Rational numbers can be written as a fraction where denominator is not zero.
Answer:
B
Step-by-step explanation:
Hope this helps D:
f(x) = (x + 1)
What is the domain of f?
Choose 1 answer:
Α.
All real values of x such that x = -1
B
All real values of x such that x>-1
С
All real values of x such that x = 0
WORTH 100 POINTS NEED DONE ASAP WRONG ANSWERS WILL BE REPORTED THANK YOUUU
Answer:
3.
1.x=√(15²-12²)=√81=9
2.x=√(6²+6²)=6√2
3.c=√(√19²-√7²)=√(19-7)=√12
Step-by-step explanation:
4.h=10
a=b=x
we have
by using Pythagoras law
h²=x²+x²
100=2x²
x²=50
x=√50=5√2
both legs =5√2
Please help!
(2/5x +5) - (1/5x - 3)
Answer:
2x over 5 + 8 + -x over 5
Step-by-step explanation:
I dont know if this is what youre looking for but hope it helps!
Answer:
1/5x + 8
Step-by-step explanation:
Let's simplify step-by-step.
2/5x + 5 − (1/5x − 3)
Distribute the Negative Sign:
= 2/5x + 5 + −1( 1/5x −3)
= 2/5x + 5 + −1 (1/5x) + (−1) (−3)
= 2/5x + 5 + −1/5x + 3
Combine Like Terms:
= 2/5x + 5 + −1/5x + 3 = (2/5x + −1/5x) + (5 + 3)
= 1/5x + 8
Answer:
= 1/5x + 8
hope this helps. p.s. i really need brainliest :)
Please help me :C PLEASE I BEG
Answer:
$0.83
Step-by-step explanation:
Its teh only one that makes sense since the 2nd is under, 3rd is over, and 4th is for lazy people
Answer:
a
Step-by-step explanation:
The rectangle below has an area of 70 square meters.
Find the dimensions of the rectangle.
(x - 11)
(x - 8)
Answer:
The side lengths are 10 by 7
Step-by-step explanation:
The area of a rectangle is
A = l*w
70 = (x - 11)(x - 8)
FOIL
70 = x^2 -8x-11x+88
Combine like terms
70 = x^2 -19x +88
Subtract 70 from each side
0 = x^2 -19x +88-70
0 = x^2 -19x+18
Factor
What number multiplies to 18 and adds to -19
-18*-1 =18
-18-1 = -19
0=(x-18)(x-1)
Using the zero product property
x-18=0 x-1=0
x=18 x=1
But x cannot x=1 because then the side lengths would be negative
x-18 = 10
x-11 = 7
The side lengths are 10 by 7
PLZZZZZZZZ HAAAALLLLLPPPPP
Answer:
y = -7
Step-by-step explanation:
5x+8y=29
5(17)+8y=29 (simplify by multiplying)
85+8y=29 (subtract 85 from both sides)
8y= -56 (divide both sides by 8y)
y = -7
Solve the linear equation
x + y = 2
2x + 2y = -6
Answer:
Step-by-step explanation:
1
Given f (x) = 3x and g(x) =
x + 3
Which value is in the domain of fo
fºg?
Click on the correct answer.
-7
3
Answer:
x = 8
Step-by-step explanation:
f(x) = [tex]\sqrt{3x}[/tex]
g(x) = [tex]\frac{1}{x+3}[/tex]
(f o g)(x) = f[g(x)]
= [tex]\sqrt{\frac{3}{x+3} }[/tex]
This function is defined for (x + 3) > 0
(x + 3) - 3 > 0 - 3
x > -3
From the given options x = 8 is the only solution which is greater than -3.
Therefore, x - 8 is in the domain of the given function.
Which of the following represents 4 square root x3 in exponential form?
1) x^3/4
2) x^4/3
3) 4x^3
4) 3x^4
Answer:
3
Step-by-step explanation:
im in 8th grade this is what were doing right now
Find the area and circumference of the circle from the problem to the left. h 14 in Area= Circumferencer
Answer:
r is 14÷2=7in
r is 7
area of circle is pie R square
22÷7×7×7
154 in
since area = circumference
154=154
hope it helps
Arrange the numbers in ascending order 2121,3625,8750,6540
2121, 3625,6540 and 8750 is the answer.
hope it helps
Write an inequality for each graph. (photos down below)