Answer:
Each snack bar contains 12 carbs and each milk contains 15 carbs.
Step-by-step explanation:
Let M be the carbs in milk and S the carbs in a snack bar.
We are told:
4M + 3S = 96, and
2M + 4S = 78
===
We can eliminate one of the variables and then solve for the other. Let's multiply the second equation by -2 and then add it to the first. This will eliminate the M:
4M + 3S = 96
-4M - 8S = -156
-5S = - 60
S = 12
Each snack bar has 12 carbs. Use either equation to find M. I'll use the second:
====
2M + 4S = 78
2M + 4*(12) = 78
2M + 48 = 78
2M = 30
M = 15
Each milk contains 15 carbs
Would two successive 90° rotations counterclockwise about the origin result in the same image as a 180° rotation clockwise about the origin? Explain.
Answer:
When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative. When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.
Step-by-step explanation:
Find the perimeter. Simplify your answer.
S+1
s
S+1
Triangle JKL with vertices /(1, -1), K(2, 3), and
L(3,-2) in the line x = 4.
.ب)J
K'.
L'(_
(
The reflection of the triangle JKL across the line x = 4 is equivalent to
equivalent to flipping the preimage across the line x = 4.
The correct coordinates are;
[tex]\underline{J'(7, \, -1)}[/tex]
[tex]\underline{K'(6, \, 3)}[/tex]
[tex]\underline{L'(5, -2)}[/tex]
Reasons:
The given transformation is a reflection about the line x = 4
The points of triangle JKL are J(1, -1), K(2, 3), and L(3, -2), in the line x = 4
The coordinates of the triangle JKL following a reflection across the line x = 4, have the same y-coordinates , while the x-coordinates have the same distance magnitude to the line x = 4, but opposite sign.Distance between x-coordinate of the point J and the line x = 4 is 4 - 1 = 3
Which gives;
Distance between x-coordinate of the point J' and the line x = 4 is 4 + 3 = 7
Therefore, the coordinate of the point J' is [tex]\underline{J'(7, \, -1)}[/tex]
Similarly, we have;
Distance between x-coordinate of the point K and the line x = 4 is 4 - 2 = 2
Distance between x-coordinate of the point K' and the line x = 4 is 4 + 2 = 6
The coordinate of the point K' is [tex]\underline{K'(6, \, 3)}[/tex]
Distance between x-coordinate of the point L and the line x = 4 is 4 - 2 = 2
Distance between x-coordinate of the point L' and the line x = 4 is 4 + 2 = 6
The coordinate of the point L' is [tex]\underline{L'(5, -2)}[/tex]
Learn more here:
https://brainly.com/question/24758871
3.5x^3-2.3x^2+1.4x+15.6-1.2x^3+4.5x^2-0.3x-3.2
Answer: 12.4 + 1.1x + 2.2x^2 + 2.3x^3
Step-by-step explanation:
add the like variables
x is a whole number such that 7x – 3 > 18
Write down the smallest value of x.
7x - 3 > 18
Add 3 to both sides
7x > 21
Divide both sides by 7:
X > 3
Since x has to be greater than 3 the smallest whole number that would work is 4
Answer: 4
Answer:
see below
Step-by-step explanation:
7x – 3 > 18
Add 3 to each side
7x – 3+3 > 18+3
7x> 21
Divide by 7
7x/7 >21/7
x > 3
The smallest integer value of x is 4
Under his cell phone plan, Josiah pays a flat cost of $37 per month and $3 per gigabyte. He wants to keep his bill at $43.60 per month. Write and solve an equation which can be used to determine xx, the number of gigabytes of data Josiah can use while staying within his budget.
The number of gigabytes of data Josiah can use while staying within his budget is 2.2 gigabytes.
Flat costs and Variable costThe total amount of money that can be spent on the cell phone plan is the sum of the flat cost and the variable cost.
Total cost = flat cost + variable cost
Determination of the equation required to solve for the gigabytes neededThe flat cost is the cost that remains constant each month. The variable cost is the cost that increases by gigabyte used.
$43.60 = $37 + $3x
The gigabytes neededIn order to determine the value of x, combine similar terms together
$43.60 - $37 = $3x
6.6 = $3x
Divide both sides by 3
6.6/3 = x
x = 2.2 gigabytes
To learn more about flat costs, please check: https://brainly.com/question/25879561
Solve each system by elimination
7x + 8y = -29
-3x -8y = 17
You can spend at most $24 at the fair. Game tickets cost $2 each and ride tickets cost $4 each. You want to buy at least 3 game tickets and more than 2 ride tickets. Write and graph a system of linear inequalities to represent this situation. How many of each ticket could you buy?
the k the term is 1199/1200. What's k.
Answer:
could I get a picture plz
How to solve it out?
Step-by-step explanation:
the sum of the interior angles of a polygon (a closed object with n edges) is always (n-2)×180°.
we have here 5 edges, so the sum of all 5 angles is
(5-2)×180 = 3×180 = 540°.
now, let's simply calculate
5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 + 10x - 3 = 540
43x - 62 = 540
43x = 602
x = 14
therefore,
angle S = 13x - 31 = 13×14 - 31 = 182 - 31= 151°
Tom wants to spend a total of $245 on a hotel. The total cost per night at his hotel $37 the online booking company charges a one time fee of $60. a) write and equation to represent this problem $37
Answer:
60+37x=245
Step-by-step explanation
x = 5
Calculate the simple interest on investing $650 for 3 years at rate of 11% per annum.
Answer:
214.5 usd
Step-by-step explanation:
blc we will do 650 times 11 .over 100 to get the annual the multiply it by 3
HOPE HELPED!!
solve pls brainliest
Answer:
I=Prt
(I= interest
P=principle amount
r=rate per year in decimal form
t=time period)
●I = Prt
I = 8000×(2/100)×6
I = 8000×0.02×6
I =$960
BRAINLIST PLS
help me urgent thankyouu
Answer:
The answer is B.
Step-by-step explanation:
0.0605
What property is illustrated in the following equation?
8 + 5 = 5 + ?
The answer is communitive property.
Answer: 3
Step-by-step explanation: Did it recently.
1/2 divided by 1/8 in simplest form
Will give brainliest and 5 star rating plus thanks plz help quickly
Answer:
maybe 4
Step-by-step explanation:
Answer:
So 1/2 divided by 1/8 in simplest form is 4
Step-by-step explanation:
[tex]\frac{1}{2}/\frac{1}{8}[/tex]
You use the rule of Keep Change Flip when dividing fractions
You keep the 1/2
Change the division sign to multiply
Flip 1/8 to 8/1
[tex]\frac{1}{2} * \frac{8}{1}[/tex]
Now you have to multiply [tex]\frac{1*8}{2*1} = \frac{8}{2}[/tex]
Simplify by factoring by 2 [tex]\frac{8}{2} = \frac{4}{1} =4[/tex]
Find x and y.
Answer:
x = 36°y = 48°Step-by-step explanation:
Given:
ΔABC ≅ ΔFDEWe can tell that y = 48° because ΔABC ≅ ΔFDE. We can also tell that ∠DEF = 108 because ΔABC ≅ ΔFDE.Let's first try to simplify ∠CAB in ΔABC. Then we can find the 'x' in ΔFDE with the help of ΔABC.
ΔABC = 108 + 48 + ∠CAB = 180°
=> 156 + ∠CAB = 180°
=> ∠CAB = 24°
=> 48 + 108 + 2x - 48 = 180°
=> 108 + 2x = 180°
=> 2x = 72°
=> x = 36°
So, after working on this problem, we can conclude that 'x = 36°' and 'y = 48°'. Hoped this helped.
Answer: x=36, y=48
Step-by-step explanation:
The sum of the angles in a triangle is 180. From triangle ABC we see that:
108 + 48 + Z = 180, where Z is the unknown third angle.
156 + Z = 180
Z= 24 (angle CAB).
Since the triangles are similar, we can say angle EDF(y) is equal to angle CAB (48). Thus,
y = 48
we can also say that angle CAB is the same as angle DFE:
24 = (2x-y)
24=2x-48
72=2x
x=36
Ayushi wanted to paint a wall of a room of dimensions 6 m × 5 m. It has a window of dimensions 2 m × 0.5 m and a door of dimensions 3 m × 1.5 m. What area of the wall is required to be painted by Ayushi?
Can you guys plz answer this???
Answer:
Required wall to be painted: 24.5 m²Step-by-step explanation:
Wall dimensions: 6 m x 5 m
=> Wall dimensions: 30 m²
Area of window: 0.5 x 2
=> Area of window: 1 m²
Area of door: 3 m × 1.5 m
=> 4.5 m²
Required wall to be painted: 30 - 1 - 4.5
=> Required wall to be painted: 24.5 m²
Therefore, the required paint for the wall to be fully painted is 24.5 m². Hoped this helped.
If a jacket cost $74.95 and you had a coupon for 30% off, how much would the jacket cost you? (round to the nearest hundredth)
Answer value
Answer:
30% of 74.95 = .3 * 74.95 = 22.48
Net Cost = 74.95 - 22 48 = 52.47
Find the perimeter. Simplify your answer.
Answer:
4s + 2
Step-by-step explanation:
The way we find the perimeter is we add up all the sides
s+1 + s + s+1 + s
Now we add up light terms and we get 4s+2 as our answer
Answer:
4s+2
Step-by-step explanation:
For perimeter we just have to add up all the sides.
So the equation would look like this:
s + s + (s+1) + (s+1)
There are 4 s variables and 1+1=2
So this can be simplified into :
4s+2
Hope this helps!
(Pls mark as brainiest)
Thanks!
Which of these are a multiple of 12? 2,8,16,24
Answer:
Step-by-step explanation:
24 is the multiple of 12
24 is a multiple of 12, so 24 is the correct answer of this question
What is the total mass if 120% of the mass is 720 kg?
Answer: 600
Step-by-step explanation:
Let the mass as x.
So,
120% of x = 720
» 120 x/100 = 720
» 6 x / 5 = 720
x = 720×5 / 6
= 120 ×5 = 600 Ans.
helpfully...
brainliest.
Answer:
= 120 ×5 = 600 Ans.
Step-by-step explanation:
help please i only have 20 mins left
4748
Step-by-step explanation:
20 pts But help me with this problem.
Answer:
You put 10 pts by accident lol.
Please help me answer thi question
Answer:
slope = 0
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 3 ) and (x₂, y₂ ) = (5, 3 )
m = [tex]\frac{3-3}{5-2}[/tex] = [tex]\frac{0}{3}[/tex] = 0
I will give BRAINLIEST please help
Answer:
-2.43 then -2 2/3 then 2.045 then 2 5/9 that is from least to greatest :) hope this helps
Step-by-step explanation:
i am positive :)
just to make sure you got it i put this in your comments too !
h
V = πη2
3
Which of the following represents the formula that could be used to find the height of the cone?
Answer:
3
Step-by-step explanation:
solve pls brainliest
Answer:
0.43%
5.4
Step-by-step explanation:
To convert 0.0043 to a percentage, multiply the number 0.0043 by 100
0.43%
In decimal form, 540 percent equals
5.4
help me please bjsowownxnwkwndndiwijsjs
karl is 4 years older than danny. eigt years ago carl was twice as old as danny. How old is danny now
Answer:
Karl is 16 and Danny is 12
Step-by-step explanation: