Answer:
a.) Probability = 1/5
b.) 10 soda
Step-by-step explanation:
Probability is a game of chance.
The initial chance = 1/12
If Lucky Lucy bought five sodas and won a free one with four of the caps. The probability of that happening will be 1/5
Having a greater than 50% chance of winning a free soda means having probability greater than half. That is,
Probability > 1/2
You would have to buy (12 - 2) soda. Which is equal to 10.
Explain how to decide which is a better value. 4 greeting cards for $10 and 6 greeting cards for $14.
Answer:
I dont know if this is supposed to be solved a certain way for a class, but as a bargain shopper, this is what I would do to figure out the best value.
Step-by-step explanation:
First divide $10 by 4: 10.00/4=2.5 or $2.50 per card
Then, divide $14 by 6: 14.00/6=2.3333333 so about $2.33 per card
Now, just look at the two answers and see which one is less.
If you buy 4 cards for $10, you will pay $2.50 for each card and if you buy 6 cards for $14, you will pay about $2.33 for each card. Therefore, the better value would be the 6 cards for $14.
Lauren is sewing a quilt using fabric squares.
The length of a side of a fabric square is represented by the expression x + 4.
Which expression represents the area of a fabric square?
4x + 6
2x + 8
x + 4
x2 + 8x + 16
Answer:
x^2 + 8x + 16
Step-by-step explanation:
Given length of square x + 4.
Area of square with side S is given by [tex]S^2[/tex].
Therefore are of square with side x + 4 is given by [tex](x + 4)^2[/tex]
Area of square = [tex](x + 4)^2\\=>(x + 4)*(x + 4)\\=> x(x + 4) + 4(x + 4)\\=> x^2 + 4x + 4x + 4*4\\=> x^2 + 8x + 16[/tex]
Thus, x2 + 8x + 16 expression represents the area of a fabric square.
evaulate 3z when z is =9
[tex]\text{Plug in and solve:}\\\\3z\\\\3(9)\\\\\boxed{27}[/tex]
Answer:
27
Step-by-step explanation:
3z z=9
3 times 9
27
At a particular restaurant, each chicken wing has 75 calories and each slider has 250 calories. A combination meal with chicken wings and sliders is shown to have 800 total calories and twice as many chicken wings as there are sliders. Write a system of equations that could be used to determine the number of chicken wings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system.
Know a are:
CW=75. SL= 250. Y= 2x
CW= X= number of wings
SL= Y= number of sliders
X+Y= Total number of items, which can be rewritten as X+2X= total
Plug in the calories for the total
2(75X) +250X= 800
150x+250X= 400X= 800
X= 800/400=2 pieces of Slider
Double the amount for Wings=2x2=4
4wings/2 Sliders
The equations that could be used to determine the number of chicken wings and sliders in the combination meal is:
75w + 250s = 800
w = 2s
Where:
w = chicken wings
s = sliders
The two equations derived from the question are known as simultaneous equations. Both equations have to be solved together in order to determine the number of wings and sliders.
The total calories of wings = number of wings x calories of each wing
75 x w = 75w
The total calories of sliders = number of sliders x calories of each sliders
250 x s = 250s
To learn more about simultaneous equations, please check: brainly.com/question/23589883
Billy graphed the system of linear equations to find an approximate solution.
y=-7/4x + 5/2
y=3/4x-3
Answer:
(2.2, -1.35)
General Formulas and Concepts:
Algebra I
Solving systems of equations by graphingStep-by-step explanation:
The solution set to the systems of equations is where the 2 lines intersect.
Find the surface area.
Any help will be appreciated thank you!
Answer:
580 cm^2
Step-by-step explanation:
H = Height
L = length
W = width
2(HL)+2(WH)+2(WL)
= 2(20*10)+2(3*20)+2(3*10)
= 2(200)+2(60)+2(30)
= 400+120+60
= 580
What is the volume? Please answer asap.
Answer:
20
Step-by-step explanation:
The share price of Twitter Inc in September 2016 was $19.30. The next day price changed by -1.22%. Write an equation to describe the change in share price and find the value after the change.
Picture down below:)
Answer:
the answer is
Step-by-step explanation:
c
Answer:
C
Step-by-step explanation:
I am Giving 50 points
Hailey organizes a New Year’s party. There are 16
pastries at the party, 7 of the pastries
are chocolate. What is the relative
frequency probability that a randomly
selected pastry will be a chocolate
pastry?
7/16 maybe
...............
Answer:
7/16
Step-by-step explanation:
the relative
frequency probability that a randomly
selected pastry will be a chocolate
pastry is 7/16
Please help ASAP....
Answer:
7 is D and 8 is D
Step-by-step explanation:
I'm assuming you were asked for the volume of both of these.
7. The area of the trapezoid is 18 then multiply by the length of 8 to get 144 units cubed.
8. The area of the trapezoid is 28 then multiply by the length of 14 to get 392 units cubed.
Help asap! giving brainliest!
Answer: understand The problem
Gather reasources
check your answer to a solution
come to an answer
john wants to buy a new phone for 1200. the sales tax is 8.875%. what is the total price?
Answer:
$1306.50
Step-by-step explanation:
1200(1 + tax) = total price -->
1200(1.08875) = total price -->
1306.5 = total price
help me fill this out thanks
Answer:
10
Step-by-step explanation:
We cannot use the Pythagorean Theorem here because we only have one side length. However, we can use the fact that [tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]
I decided to make the corner with the 60° as ∠A, the corner with the 30° as ∠B, and the corner with the right angle as ∠C. While then making side a as the unmarked side, side b as the side with 5, and the hypotenuse p as side c.
Since we do not need to solve for a in this equation to solve for p, we can simply use the sides and numbers we are given.
Manipulating two of our equations, preferably the equations with the variables b and c, we can get [tex]\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex] and solving for c, which is p in this case, will give us [tex]c=\frac{bsin(C)}{sin(B)}[/tex]
Plugging in the numbers we have gives us [tex]c=\frac{5sin(90)}{sin(30)}[/tex] = 10 mi
Kia is saving money to buy a Six Flags ticket. She worked for 6 hours at the library and earns the same amount each hour. Her grandmother then gave her $20. In all,she has $53.
Answer:
She earns 5.5 dollars per hour at the library
Step-by-step explanation:
I am going to assume that the questions is "how much she earns per hour at the library?"
Let's call x the amount of dollars earn by hour at the library. We know that she worked for 6 hours, thus she made 6x dollars.
Later her grandma gave her 20 dollars and she has now 53 dollars.
Let's write the equation and solve it
Amount earned + Amount given by her grandma = 53
[tex]6x+20=53\\6x=33\\x=\frac{33}{6}\\x=5.5[/tex]
Thus, based on this information we would have that Kia earns 5.5 dollars per hour.
1 1/7 times 3/5 plz answer now
Answer:
24/35 or 0.6857142
Step-by-step explanation:
Answer:
[tex] \frac{24}{35} [/tex]
alternative form:
[tex] 0.685714286 [/tex]
Step-by-step explanation:
[tex]1 \frac{1}{7} \times \frac{3}{5} \\ multiply \: 1 \: and \: 7 \\ \\ \frac{7 + 1}{7} \times ( \frac{3}{5} ) \\ add \: 7 \: to \: 1 \\ \\ \frac{8}{7} \times ( \frac{3}{5} ) \\ remove \: parenthesis \: and \: put \\numerator \: times \: numerator \: and \\ denominator \: times \: denominator \\ \\ \frac{8 \times 3}{7 \times 5} \\ do \: the \: multiplications \\ \\ \frac{24}{35} [/tex]
Find the lateral area and surface area of a regular hexagonal right prism is the base edges are 10 and the height is 12.
Round your answer to the nearest tenth.
LA = units squared
SA = units squared
Answer:
Step-by-step explanation:
a hexagonal prism is made up of two bases that are hexagons and six faces that are rectangles.
Lateral surface area, LA = Perimeter × height
Perimeter = number of sides × length of each side
Perimeter, P = 6 × 10 = 60
LA = 60 × 12 = 720 units squared
Area of each base, B = 1/2a × perimeter
Where
a = apotherm
We would determine the length of the apotherm of each base of the prism by applying the formula,
a = s/[2tan(180/n)]
Where
s = length of each side = 10
n = 6 sides
a = 10/[2tan(180/6) = 10/[2tan30)
a = 8.66
B = 1/2 × 8.66 × 60 = 259.8
Total surface area = LA + 2B
Total surface area = 720 + 2 × 259.8 = 1239.6 units squared
Correct answers only!
To the nearest cent, how much will he have in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer: $44.10
Step-by-step explanation:
We are given our p, r, t in the problem.
p=40 (starting amount)
r=0.05 (5%)
t=2 (years)
With the given information, we can plug this into our equation.
B=p(1+r)^t
B=40(1+0.05)^2
B=44.1
Haruto has tomato plants in his backyard. This year the plants grew 127 tomatoes. Birds had eaten 19 of the tomatoes. 23 tomatoes had been ruined by bugs. He picked the rest. How many tomatoes did Haruto pick? The answer is tomatoes.
Examine the equation. –3x + 18 = 7x What could you do to isolate the variable term to one side of the equation? Add 3x to both sides. Subtract 3x from both sides. Add 18 to both sides. Subtract 18 from both sides.
Answer:
You would add 3x to both sides. Then divide by 10 on both sides.
What to do to isolate the variable term to one side of the equation is to add 3x to both side
Given the equation, -3x + 18 = 7x, we need to isolate the variable term. To do that, we will follow the steps below;
Add 3x to both sides of the equation to have;
-3x + 18 + 3x = 7x + 3x
18 = 7x + 3x
Swap sides
7x + 3x = 18
10x = 18
Divide both sides by 10
10x/10 = 18/10
x = 1.8
From the steps above, what to do to isolate the variable term to one side of the equation is to add 3x to both side
Learn more here: https://brainly.com/question/14107099
How do I Graph y=-2x+5
Answer:
Slope-Intercept Form y = mx + b
Y = 5
Slope = -2/1
Step-by-step explanation:
Slope-Intercept Form y = mx + b
m = Slope; Rise over Run; Remember there is always an understood 1 in the denominator. If the slope is positive it goes up and to the right and if the slope is negative it goes down and to the right.
b = Y-intercept; This is where the line crosses the y-axis at. If it's positive it's above the x-axis and if negative below.
Terry is buying juice. He needs 3 liters. A half-liter of juice costs $2.39. A 250 -milliliter container of juice cost $ 1.69. What should Terry buy so he gets 3 liters at the lowest price? Explain
Answer:
Terry should buy half a liter because if he buys 250 millimeters, he will need to pay $20.28, which is more than 14.34.
Mica and Denise are reading the same novel. Mica has read 1/2 of the novel, and Denise has read 2/5 of the novel. If Mica has read 216 pages more than Denise, how many pages are totally for this novel?
Answer:
The novel has 2160 pages.
Step-by-step explanation:
The number of pages of the novel is x.
Mica has read 1/2 of the novel, so x/2 = 0.5x.
Denise has read 2/5 of the novel, so 2x/5 = 0.4x.
Mica has read 216 pages more than Denise
This means that:
0.5x - 0.4x = 216
0.1x = 216
x = 216/0.1
x = 2160
The novel has 2160 pages.
Find the area of the shape
(sorry if im asking too many questions)
Answer:
E. 54
Step-by-step explanation:
To find the area just multiply the base times the height. In this problem it would just be 6x9= 54.
Answer:54 cm ^2
Step-by-step explanation:
9 times 6 is 54
The owner of a coffee shop compared the amount of hot coffee per day, in fluid ounces, sold and the daily high temperature, in degrees Fahrenheit, per day. Her data are shown in the scatter plot below. If these data are modeled by the line y = -5.9x + 850, which statement best describes a valid prediction the owner could make?
Picture of the question is attached below.
Answer: B.) For each temperature decrease of 10°F, the shop can expect to sell about 6 fluid ounces more of hot coffee.
Step-by-step explanation:
The model depicted by the line equation:
y = -5.9x + 850 shows a strong negative linear relationship between the amount of hot coffee per day, in fluid ounces, sold and the daily high temperature, in degrees Fahrenheit, per day. This means that the sale of hit coffee decreases with increasing temperature daily, which makes sense. From the plot and line model equation, the shop can expect to sell about 6 fluid ounces less of hot coffee for each temperature ruse of 10F.
-5.9x approximately -6x decrease for every 10F temperature increase.
Can u guys pls help this is due in 2 mins!
-3x + 3y = -18
-x + y = -6
-2x + 2y = -12
5x - 2y = 9
Adding,
3x = -3
x = -1
y = -6 +x = -6 - 1 = -7
Answer: B. (-1, -7)
Answer:
B
Step-by-step explanation:
Which of the following fractions is equivalent to 3/5 ?
A 1/2
B 3/8
C 6/20
D 9/15
Question 4 11 point)
Four hundred grocery store shoppers were surveyed to determine their favorite fruit. How many shoppers prefer bananas?
Favorite Fruit
Bananas Apples
32%
35%
Cherries
33%
Os 32
Answer:
128
Step-by-step explanation:
128 is the right
peanut butter
two angles have a sum of 180° if the measure of the first angle is 35.7° find the measure of the second angle
Answer:
x =144.3
Step-by-step explanation:
Let x be the unknown angle
The two angles add to 180
x+35.7 = 180
Subtract 25.7 from each side
x+35.7 -35.7 = 180-35.7
x =144.3
Is (5, 10), (-8, 3), (-1, 7), (-5, 10) A Function ?
Answer:
Step-by-step explanation:
Notice that the inputs {5, -8, -1, -5} are all different. So we can immediately conclude that this is a function.
If the inputs were {5, -8, -1, 5}, this would not be a function, as the same input value (5) would result in two different outputs.
