A recipe calls for 6.25 cups of sugar to make 5 batches of cookies. How many cups of sugar should Vinny use to make a single batch of cookies?
Answer:
1.25
Step-by-step explanation:
6.25 divided by 5
What values of b will cause 8x^2 x bx + 2 = 0 to have one real solution?
=======================================================
Explanation:
I'm assuming you meant to type 8x^2 + bx + 2 = 0
Compare this to ax^2 + bx + c = 0
We have a = 8, b = unknown, c = 2.
We'll use the discriminant formula which is D = b^2 - 4ac to find that
D = b^2 - 4ac
D = b^2 - 4*8*2
D = b^2 - 64
Since we want one real solution, we set the discriminant equal to zero.
D = b^2 - 64
0 = b^2 - 64
64 = b^2
b^2 = 64
b = sqrt(64) or b = -sqrt(8)
b = 8 or b = -8
So the equation 8x^2 + 8x + 2 = 0 has one solution. So does the equation 8x^2-8x+2 = 0
Answer:
To find the value of
b
where there will be just ONE soluition, we set the discriminate equal to
0
, substitute for
a
and
c
and solve for
b
:
Substitute:
2
for
a
−
b
for
b
−
9
for
c
−
b
2
−
(
4
⋅
2
⋅
−
9
)
=
0
−
b
2
−
(
−
72
)
=
0
−
b
2
+
72
=
0
−
b
2
+
72
−
72
=
0
−
72
−
b
2
+
0
=
−
72
−
b
2
=
−
72
−
1
⋅
−
b
2
=
−
1
⋅
−
72
b
2
=
72
√
b
2
=
±
√
72
b
=
±
√
36
⋅
2
b
=
±
√
36
√
2
b
=
±
6
√
2To find the value of
b
where there will be just ONE soluition, we set the discriminate equal to
0
, substitute for
a
and
c
and solve for
b
:
Substitute:
2
for
a
−
b
for
b
−
9
for
c
−
b
2
−
(
4
⋅
2
⋅
−
9
)
=
0
−
b
2
−
(
−
72
)
=
0
−
b
2
+
72
=
0
−
b
2
+
72
−
72
=
0
−
72
−
b
2
+
0
=
−
72
−
b
2
=
−
72
−
1
⋅
−
b
2
=
−
1
⋅
−
72
b
2
=
72
√
b
2
=
±
√
72
b
=
±
√
36
⋅
2
b
=
±
√
36
√
2
b
=
±
6
√
2
Step-by-step explanation:
A carnival has a duck-pond booth. You choose a rubber duck at random. The mark on the bottom of the duck tells you whether you won a small, medium, or large prize, or no prize at all. There are 73 ducks floating in the pond. There are 5 ducks marked as large-prize winners, 11 ducks marked as medium-prize winners, and 24 ducks marked as small-prize winners. Find the theoretical probability of winning a medium prize at the duck pond. Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.
Let's break down this problem step by step.
First, let's understand what's happening here. There's a carnival game where you can pick one duck from a pond. Each duck has a mark under it that might make you a winner of a prize. Some ducks are marked with large prizes, some with medium, some with small, and the rest don't win you any prize.
The total number of ducks in the pond is 73.
Out of these 73 ducks:
- 5 are marked for a large prize,
- 11 are marked for a medium prize,
- 24 are marked for a small prize.
We are asked to find the theoretical probability of picking a duck that has a medium prize mark. The theoretical probability is basically a fraction that compares the number of ways something can happen with the total number of outcomes.
Here, the number of ways you can win a medium prize is equal to the number of ducks that have a medium prize mark, which is 11.
The total number of outcomes is just the total number of ducks you can choose from, which is 73.
The probability (P) of winning a medium prize is then:
P(medium prize) = (Number of medium-prize ducks) / (Total number of ducks)
= 11/73
To convert this fraction to a decimal, simply divide 11 by 73:
= 11 ÷ 73
≈ 0.1507 (rounded to the nearest thousandth)
So, the probability of winning a medium prize at the duck pond is about 0.151 or 15.1%. Imagine, for every 100 ducks you pick (if there were that many), about 15 of them would win you a medium prize.
The theoretical probability of winning a medium prize at the duck pond is ≈ 0.150
To find the theoretical probability of winning a medium prize at the duck pond, we need to determine the ratio of the number of medium-prize-winning ducks to the total number of ducks in the pond.
The total number of ducks in the pond is given as 73.
The number of medium-prize-winning ducks is given as 11.
Therefore, the probability can be calculated as follows:
Probability of winning a medium prize = (Number of medium-prize-winning ducks) / (Total number of ducks)
Probability of winning a medium prize = 11 / 73
To express the answer as a decimal, we divide 11 by 73:
Probability of winning a medium prize ≈ 0.150
Rounded to the nearest thousandth, the theoretical probability of winning a medium prize at the duck pond is approximately 0.150
To better understand how to find theoretical probability of winning medium prize at the duck pond:
https://brainly.com/question/1369541
Which expression has the same value as: b + 14b ?
Answer:
15b I think
Step-by-step explanation:
Answer:
wouldn't you just add them together because it would be the same expressions?
15b
or either switch them around
14b+b
Step-by-step explanation:
please help! this is very confusing and hard!
Answer: 3.8 then -3.8
3.8 then 3.8
Jason has a greater value
Answer:
Therefore -3.8 has a final greater value. (Jason)
Step-by-step explanation:
|-3.8| = 3.8
The opposite of 3.8 is -3.8.
The opposite of -3.8 is |-3.8| (or 3.8).
The absolute value is 3.8
please i am almost done
Answer:
42
Step-by-step explanation:
68 - 26 = 42
lol after this i have more im du.mb
Answer:
other dude is right
Step-by-step explanation:
GIVE HIM BRAINLIEST!!
Find the area of the following figure.
Answer:
The area is
A = 201.6 or with units we have A = 201.6 cm^2
Step-by-step explanation:
We find the area of the triangle and the rectangle separately, and then add the areas to get the total area
Area of Rectangle = R = (base)(height)
R = (12)(15)
R = 180
R = 180 cm^2
Area of Triangle = T = 1/2(base)(height)
T = (1/2)(12)(3.6)
T = 21.6
T = 21.6 cm^2
Total Area = A = Area of Rectangle + Area of Triangle
A = R + T = 180 + 21.6
A = 201.6
A = 201.6 cm^2
Answer:
The answer is 648.
Step-by-step explanation:
I hope this helps you and that you get 100% ;D
A bullet of mass m1 = 0.020 kg is fired with initial speed v1 into a block of mass m2 = 0.500 kg that is initially at rest. The bullet becomes embedded in the block and the pair slide along to the right a distance d= 0.35 m over a rough surface with uk = 0.25. the spring (with k = 450 N/m) is compressed by a distance of x = 0.075 m. work backwards and determine the initial velocity of the bullet.
Use the best-fit line below to predict the value of y when x = 7
Answer:
the answer is 6 because when x=7 on the line it is also equal to 6 on the y axis
what's the answer for this question? (any help)
Answer:
13%
Step-by-step explanation:
I believe it is. if no,sorry!!
Which additional congruence statement could you use to prove that CAB CAD by HL?
Answer:
#2, AB is congruent to AD
Step-by-step explanation:
AB is congruent to AD.
since the bottom sides are corresponding, and the middle sides are corresponding, then if the outside sides are corresponding, then CAB is congruent to CAD
ΔCAB≅ΔCAD. Additional congruence statement could you use AB=AD. Hence, proved.
We need to find which additional congruence statement could you use to prove that ΔCAB≅ΔCAD by HL.
What is HL congruency?The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
In ΔCAB and ΔCAD
∠ACB=∠ACD=90°
BC=CD
AC=AC
Additional congruence statement could you use AB=AD.
Therefore, ΔCAB≅ΔCAD. Additional congruence statement could you use AB=AD. Hence, proved.
To learn more about the congruence of a triangle visit:
https://brainly.com/question/20521780.
#SPJ2
Please help!! I attached a screenshot.
Oh, and please ignore the answer to the first one! That was a mistake.
The upper-left coordinates on a rectangle are (-8,8) and the upper-right coordinates are (-3,8) the rectangle has an area of 15 square units.
Draw the rectangle on the coordinate plane below.
Answer:
The coordinates are (-8,8),(-3,8),(-8,5),(-3,5)
simplify: 5/6 + 5 - 2/3 - 2
Answer:
19/6
Step-by-step explanation:
make them all with a denominator of 6:
5/6 + 30/6 - 4/6 - 12/6 = 19/6
The jar below contains 1 striped marble, 2 black marbles, 3 gray marbles, and 4 white marbles. Which will have a probability closest to 1?
A.
drawing a black marble
B.
drawing a striped marble
C.
drawing a white or black marble
D.
drawing a gray or white marble
Solution:
Probability of getting a striped marble: 1/1 + 2 + 3 + 4 = 1/10 = 10%Probability of getting a black marble: 2/1 + 2 + 3 + 4 = 2/10 = 20%Probability of getting a grey marble: 3/1 + 2 + 3 + 4 = 3/10 = 30%Probability of getting a white marble: 4/1 + 2 + 3 + 4 = 4/10 = 40%Option A
Drawing a Black marble: 2/10 = 20% chanceOption B
Drawing a striped marble: 1/10 = 10% chanceOption C
Drawing a white or black marble: 4/10 + 2/10 = 6/10 = 60% chanceOption D
Drawing a gray or white marble: 3/10 + 4/10 = 7/10 = 70% chanceOption D has the probability closest to 1, as "1 = 10/10 = 100%".
so i uhm-...............
Answer:
x= appr 52
Step-by-step explanation:
help me please thanksssss
Answer:
The post office is at (7,7)
Step-by-step explanation:
To get to the pet shop, go down 4 and left 1
Answer: (7, 7)
Step-by-step explanation:
Look at the point where the post office is. Look at the numbers below and the ones to the right. Look at the lines. There are two lines that lead to the location of the post office. The numbers next to the both of those lines should be 7 and 7. Which makes the ordered pair.
In a picture, there are 40 monkeys, and 60% of the monkeys are in the trees. How many monkeys are in the trees? Use a 10-squares model to explain your answer.
Answer:
Answer:
24 monkeys are in the trees
Step-by-step explanation:
The only part I don´t know how to do is the 10-square model
Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
Discussion Prompt:
For your birthday party, you want to take a group of friends to an indoor trampoline center. There are two trampoline parks available on your date.
Pricing Information:
Sky High: $50 for up to 10 people and $5 per person after that.
Jump it Up: $70 for a party set-up fee and $2 per person.
What is the minimum number of friends for which Jump it Up is the less expensive choice? Show all work and give justification for your solutions, including any representations you used. Post a brief paragraph responding to the discussion prompt above. (Algebra l assignment)
If no justification for work, you shall get reported bc of spam of points. Thank you!!
Answer:
Step-by-step explanation:
Sky High $50 = 10 people so on $5 each person
Jump it up $70 fee then $2 per person
90 for 10 people at jump it up
100 for 15 people at jump it up
75 for 15 at sky high
110 for 20 people at jump it up
100 for 20 at sky high
118 for 24 people at jump it up
120 for 24 people at sky high
the minimum number of friends for it to be cheaper at jump it up is 24 friends since it would be $118 compared to $120 at sky high
the set up fee of 70 then 2 per friend compared to 50 for 10 to start then 5 each makes it come down to 24 friends in all for jump it up to be cheaper minimum anything lower sky high is cheaper
Solve –4.8 = 3.2d.
Please explain steps? ^ - ^
Answer:
-1.5
Step-by-step explanation: Divide both sides by 3.2 and you get -1.5
What did one Poppy seed say to the other?
Which points are 3.5 units apart?
(7.5, 1.2) and (7.5, –2.3)
(7.5, –3.5) and (7.5, 3.5)
(7.5, 1.2) and (7.5, 2.3)
(7.5, –3.5) and (7.5, 7)
The two dot plots below compare the forearm lengths of two groups of schoolchildren:
Based on the visual inspection of the dot plots, which group appears to have the longer average forearm length?
A. Group A, because a child in the group has the least forearm length of 10 inches.
B. Group A, because four children have a forearm length longer than 12 inches.
C. Group B, because no child in the group has a forearm length longer than 12 inches.
D. Group B, because five children in the group have the least forearm length of 10 inches.
Sarah wants to predict how many t-shirts your homeroom will sell. She wants to compute the mean number of T-shirts sold by the other homerooms to do this.
Explain how the other homerooms' data support David's claim.
PLEASE HELP QUICK. THIS IS A TEST.
u can add 10 plus 8 u can get 18 or if u get other number u wrong
Can someone help pls and thank you
Answer:
0.70
Step-by-step explanation:
you add up the numbers for red green and purple. Then you add all of the numbers together separately. Then you take the number you got after you added red green and purple and divide it by the number you got when you added them all together. Then you round your decimal to the nearest hundredth.
Worth lot of points :))))
Step-by-step explanation:
slope = (y2 - y1)/(x2 - x1)
-4/3 = (6 - y)/[4-(-2)]
-4/3 = (6-y)/6
(-4/3)×6 = 6-y
-8 = 6-y
y = 6 + 8
= 14
Answer: y=14
Step-by-step explanation:
how to step by step do the algebreic expression
7 + 5y, y = 2
Answer:
The answer is 17
Step-by-step explanation:
The first step to this equation is to plugin y (2) to the equation and multiply The next step is to add the 10 and the 7 to get a final answer of 17.
If you could give me brainiest that would be much obliged.
Answer:
17
Step-by-step explanation:
If your trying to evaluate y=2 . . .
7 + (5) (2) =17
(5)(2) Just multiply 5 and 2
= 10
Now your left with 7 + 10
7 + 10 is 17
Please I need this to be answered fast
the answer you are looking for is c