Andrew bought four bottles of lemonade and two bottles of water for €2.45. From the same shop Michael
bought two bottles of lemonade and four bottles of water for €2.35. What is the total cost of one bottle of
lemonade and one bottle of water?
Answer:
0.8 euro
Step-by-step explanation:
Suppose the price of bottle of lemonade is x, when the bottle of water costs y.
Four bottles of lemonade cost 4x, two bottles of water cost 2y
4x+2y=2.45
Two bottles of lemonade cost 2x, four bottles of water cost 4y
2x+4y= 2.35
These equations( 4x+2y=2.45 and 2x+4y= 2.35) are simultaneous, so
multiply the first one by -2
-8x-4y=-4.9
-8x-4y+2x+4y= -4.9+2.35
-6x=-2.55
x=0.425 euro - the cost of bottle of lemonade
y=(2.45-4*0.425)/2
y=0.375 euro - the cost of bottle of water
0.425+0.375= 0.8 euro - the total cost of one bottle of
lemonade and one bottle of water
Answer:
price of lenonade bottle is 0.425
price of water bottle is 0.375
Step-by-step explanation:
In explaination, 'x' is the value of lemonade bottle and 'y' is the value of water bottle.
All explaination is in picture below.
(PLEASE HELP ASAP I JUST NEED TO SEE IF I GOT THE RIGHT ANSWER)PLEASE EXPLAIN AS WELL
Answer:
MONEY ON MONDAY=36.
MONEY ON TUESDAY =36+20=56
MONEY ON WEDNESDAY =56-19=37
MONEY LEFT ON THURSDAY=37
hey please help i’ll give brain
Answer:
First, the dropdown is 9. Second, put in 9. The answer is 81.
Step-by-step explanation:
10* what equals 90? Well, let's do 90/10, our answer is 9. Then We are given 1 nine or 9 to put on the second slot. Our answer would be 90-9, or 81. Khan Academy is teaching you how to multiply.
Answer:
[tex]9 \times 9 = 10nines - 1nine \\ 9 \times 9 = 90 - 9 \\ 9 \times 9 = 81 \\ than \: you[/tex]
Please help me asap
Divide. Write your answer as a decimal.
−3.45÷(−15)=
yooo cuhh's is the square root of 64 a rational or irrational . ( and is it natural or a real number
Answer:
Step-by-step explanation:
It's an integer (which includes the minus number).
It can be a natural number (if the value of an expression comes to +/- 8 and for some reason - 8 is not permitted because it's a length)
It is for certain a real number.
Max spent $53 and now has no money left .He had $ before his purchase
Answer:
$53
Step-by-step explanation:
If he spent $53 and has nothing left then that's all he must've have had right? If he had more then he would have money leftover after his purchase.
Best of Luck!
See photo for question
Answer:
66 = ∠JKN
Step-by-step explanation:
∠JKM = 99
∠LKM = 66
KN bisects means middle point divides into two equal parts
so first lets find ∠LKN and ∠NKM
66/2 = ∠LKN and ∠NKM each
33 = ∠LKN
33 = ∠NKM
so if we add ∠JKL + ∠LKN + ∠NKM = 99
∠JKL + ∠LKN + ∠NKM = 99
∠JKL + 33 + 33 = 99
∠JKL + 66 = 99
∠JKL = 99-66
∠JKL = 33
now to find ∠JKN we must add
∠JKL + ∠LKN = ∠JKN
33 + 33 = ∠JKN
66 = ∠JKN
Half the difference of a number n and 20 is 30. What is the number?
Answer:
80Step-by-step explanation:
Half the difference of a number n and 20 ⇒ (n - 20)/2... is 30 ⇒ = 30Solve the equation for n:
(n - 20)/2 = 30n - 20 = 30*2n - 20 = 60n = 60 + 20n = 80The number is 80
Answer:
Number is 40
Step-by-step explanation:
Let the number be n
(n - 20)/2 = 30
(n - 20) = 2 × 30
n = (2 × 30) + 20
n = 60 + 20
n = 80
Is (1, 10) a solution to this system of inequalities?
y > X + 9
y > 10
Answer:
No
Step-by-step explanation:
If (1, 10) is a solution to the system then it must satisfy both inequalities.
Using x = 1 and y = 10 , then
10 > 1 + 9 , that is
10 > 10 ← False
and
10 > 10 ← False
Neither of the inequalities are satisfied by (1, 10)
Thus it is not a solution
calculate the surface area of a cylinder with diameter 26,5 and height 63,7
Answer:
A≈1633.63
Step-by-step explanation:
d Diameter 26
h heigth 7
A=2πd
2h+2π(d
2)2=2·π·26
2·7+2·π·(26
2)2≈1633.62818
write each expression as a single power of 10
Answer:
10 to the power of 4
Step-by-step explanation:
[tex](10^{5} )^{2} \\= 10^{10} \\\\(10^{2})^3\\= 10^(6)\\\\[/tex]
You then subtract the powers since you are dividing by the same base exponent of 10.
10 - 6 = 4
10^4
pat has no more then 20 sweets. she counts her sweets by twos she has one sweet left. then she counts by five. she has 2 left over. how many sweets could she have
Answer:
She can either have 7 sweets or 17 sweets.
Step-by-step explanation:
Variable x = number of sweets Pat has
x < 20
Counting by 5's (5, 10, 15) that will result in 2 left over (5 + 2, 10 + 2, and 15 + 2). This leaves 3 possible options as to how many sweets Pat has: 7, 12, and 17.
Counting by 2's (2, 4, 6 . . . 18) that will result in 1 left over (6 + 1, 10 + 1, 16 + 1) This leaves 2 possible options, given the other numbers from counting by 5's were eliminated.: 7 and 17.
The perimeter of a rectangle is 36 feet. The length is 2 feet more than 3 times the width. What are the dimensions of the rectangle?
Answer:
Step-by-step explanation:
The perimeter (P) of a rectangle is equal to the sum of twice the length and twice the width.
For this problem, let x be the width.
Then because the length is 2 less than 3 times the width
The length is 3x - 2
Therefore, P = 2x + (2)(3x - 2) = 36
Solving this for x gives:
2x + 6x - 4 = 36
8x - 4 = 36
8x = 40
x = 5
Therefore, the width = x = 5 feet
And the length = 3x - 2 = (3)(5) - 2 = 13 feet
Hey, I need help with solving this inequality. It is for Introductory Algebra (0308) TSI Review. I need to pass the TSI which is 20 to 45 questions long and I have failed it in the past a total of four times, please help me to understand this: -4<4-2x<6
Thanks So Much!
Which of the following describes a linear function?
A. 3(x + 2y) - 4 = x + 5y
B. ax2 + bx + c = 0
c. (a + b)?
D. A = ?
Answer:
A
Step-by-step explanation:
Linear equation involves two variables with the power of 1. B is quadratic equation
C and D are not even equations
PLEASE HELP :( WORTH 20 PIONTS I WILL MARK BRAINLIEST please answer honestly :)
here is the table of values for y = f(x)
x -2 , -1 , 0, 1, 2 , 3, 4 , 5, 6
f(x) 5, 6, 7, 8, 9, 10, 11, 12, 13
mark the statements that are true
A. f (-1) =6
B. f (5) = - 2
C. The domain for (x) is the set (-2, -1, 0, 1 , 2, 3, 4, 5, 6
D. the range for f(x) is all real numbers
Answer:
A and C
Step-by-step explanation:
A
From the table the value of f(x) when x = - 1 is 6
Thus f(- 1) = 6 ← is true
B
From the table the value of f(x) when x = 5 is 12
Thus f(5) = - 2 ← is false
C
The domain is the values of x from the table ( the input values )
domain is { - 2, - 1, 0, 1, 2, 3, 4, 5, 6 } ← is true
D
The range is the values of f(x) from the table ( the output values
range is { 5, 6, 7, 8, 9, 10, 11, 12, 13 }
The range for f(x) is all real values ← is false
0
-a - 2b + 3c for a = 24, b= 7, and c=5
Answer:
-23
Step-by-step explanation:
Plug in each value for its respective variable.
-(24) - 2(7) + 3(5)
-24 - 14 + 15
= -23
Answer:
-23
Step-by-step explanation:
Plug in each value for its respective variable.
-(24) - 2(7) + 3(5)
please help me i need help
Kenya plans to make a down payment plus monthly payments in order to buy a
motorcycle. At one dealer she would pay $2,250 down and $200 each month. At
another dealer, she would pay $2,850 down and $175 each month. After how
many months would the total amount paid be the same for both dealers? What
would that amount be?
After
months Kenya will have paid $
for the bike at either dealer.
Answer:
Step-by-step explanation:
2500+150x=3000+125x
150x-125x=3000-2500
25x=500
x=500/25
x=20 mo
----------------
2500+150*20=3000+125*20
5500=5500 total paid after twenty months
Hope this is helpful
Find the value of unknown side
Answer:
hope this helps you
have a great day
Find the perimeter, in units, of the polygon with the given vertices. Plot the points.
Round to the nearest tenth.
5. A(8,0), B(-3, 2), C(10, 2)
6. A(4, -3), B(7, 10), C(-8, 2)
7. A(-5,5), B(5, -5), C(-5, -5)
8. A(4, -3), B(7,10), C(-8, 2), D(-1, -5)
9. A(-4, -8), B(4, -8), C(4, 0), D(0, 3), E(-4, 0)
Answer: 9
Step-by-step explanation:
Plot the points
Find the distance of each side
add the three numbers
9
Answer:
5. 27
6. 43
7. 47
Step-by-step explanation:
Find the line segment
Answer:
[tex]l \: is \: mid \: point \: here \: so \\ 9x - 16 = 7x + 10 \\ x \: terms \: togather \\ 9x - 7x = 10 + 16 \\ 2x = 26 \\ x = \frac{26}{2} \\ x = 13 \\ option \: (3) \\ thank \: you[/tex]
cos a/4= -1/4
cos a= ??
Answer:
cos a / 4 = -1/4
--->cos a =- 1
Which expression is equivalent to 6 (3.6 + 4)?
Answer:
45.6
Step-by-step explanation:
6(3.6 + 4)
6 (7.6)
= 45.6
Can someone solve/walk me through this problem please?
-6x+5y=34
-6x-10y=4
Answer: x = -4
y = 2
Step-by-step explanation:
From equation I
-6x + 5y = 34
-6x = 34-5y
-(-6x) = -(34-5y)
or, 6x = 5y-34
or, x = 5y-34/6
so
substituting the value in equation II
-6x-10y = 4
or, -6{(5y-34)/6} - 10y = 4
or, -(5y-34)-10y = 4
or, -5y + 34-10y = 4
or, -15y = -30
or, y = -30/(-15)
so, y = 30/15
so, y = 2
now
x = (5y-34)/6
= (5*2-34)/6
= (10-34)/6
= -24/6
= -4
Answer:
x=-4, y=2
Step-by-step explanation:
-6x-10y=4
-6x=4+10y
(4+10y)+5y=34
15y=30
y=2
-6x-10(2)=4
-6x=24
x=-4
Write the conjugate of the following complex
number:
-6i
Answer:
[tex]6i[/tex]
Step-by-step explanation:
We want to write the conjugate of the complex number:
[tex]-6i[/tex]
Recall that the conjugate of a complex number in the form a + bi is a - bi, and vice versa.
We can rewrite our complex number as:
[tex]\displaystyle 0 - 6i[/tex]
Hence, a = 0 and b = 6.
Then its conjugate will be:
[tex]0 + 6i = 6i[/tex]
Can someone pls help me with problems 4 and 5 pls this is due in a bit and I’m in a rush I’ll give 100 points it’s all I have
Answer:
Step-by-step explanation:
Answer:
#4Let M is the midpoint of DE.
Since D is at 8 and DE = 5.
DM = ME = 5/2 = 2.5
Point M is at:
8 + 2.5 = 10.5 if E is to the right of D8 - 2.5 = 5.5 if E is to the left of D#5Given
XY = 7, YZ = 2x - 1, XZ = 30Since XZ = XY + YZ, set up an equation and solve for x:
7 + (2x - 1) = 302x + 6 = 302x = 24x = 12#6The distance from your house to friend's is LN.
We have:
M is midpoint of LN, so LM = MNLM = 3xMN = 2x + 2Set up an equation, solve for x:
3x = 2x + 23x - 2x = 2x = 2Find the distance LM:
LM = 3*2 = 6Find the distance LN:
LN = 2*LM = 2*6 = 12f(x) = [tex]2^{x}[/tex] - 2 and g is a horizontally scaled function of f. The functions are graphed where f is solid and g is dashed. What is the equation of g?
A. g(x) = [tex]2^{3x}[/tex] - 2
B. g(x) = [tex]2^{\frac{1}{3}x }[/tex] - 2
C. g(x) = [tex]2^{2x} - 2[/tex]
D. g(x) = [tex]2^{\frac{1}{2}x} - 2[/tex]
Answer: D) g(x)= 2^1/2x -2
Step-by-step explanation:
PLEASE HELP I WILL MARK BRAINIEST IF THE ANSWER IS CORRECT!!!!!!!!
6. In triangle ABC, the length of side AB is 12 inches and the length of side BC is 20 inches Which of the following could be the length
of side AC?
A. 6 inches
B. 34 inches
C. 18 inches
D 37 inches
Answer:
C
Step-by-step explanation:
In this situation the two lowest sides, 12 and 18, add to higher than the longest side. This is the only answer that does so.