Answer:
Step-by-step explanation:
There are five dice, so whatever the first die rolls there is a 1/6 chance that the second die is the same number. If that occurs, there's a 1/6 chance that the third die is the same, ditto the fourth and the fifth. So probability of Yahztee in one roll is 1/6 x 1/6 x 1/6 x 1/6 = 1/1296.
Answer:
A 60% chance
Step-by-step explanation:
2. The water rate for Charlotte, North Carolina, is $1.33 per 748 gallons of water used.
a. What is the water bill if 30,000 gallons of water are used?
b. How many gallons of water can be used for the water bill to be $150.
Answer:
I'm only here cause of the pfp haha
Step-by-step explanation:
you look good if that's you
Answer:
a) $53.34
b) 84,360.9 gallons
Step-by-step explanation:
let 'x' = cost of bill for 30,000 gallons
a) i set up a proportion as follows:
$1.33/748g = x/30,000
i cross-multiplied and got $53.34
b) i set up a proportion as follows:
let 'y' = how many gallons $150 can buy
$1.33/748g = 150/y
i cross-multiplied and got 84,360.9 gallons
Katie uses 12 cups of flour and sugar to make cookies. The amount of flour is four more than three times the amount of sugar. How many cups of flour are in this recipe?
The solution is?
Answer:
146
Step-by-step explanation:
because 3times the cups is 36
so four times more 36
There are 13 cups of flour in this recipe when Katie uses 12 cups of flour and sugar to make cookies. The amount of flour is four more than three times the amount of sugar.
Let's assume the amount of sugar used in the recipe is represented by the variable "s."
According to the given information, the amount of flour used is four more than three times the amount of sugar. In mathematical terms, this can be expressed as:
Flour = 3s + 4
Now, we know that Katie uses 12 cups of flour in the recipe. We can set up an equation to solve for the amount of sugar:
12 = 3s + 4
Subtracting 4 from both sides of the equation:
12 - 4 = 3s
8 = 3s
Dividing both sides by 3:
8/3 = s
s = 2.67
Since the number of cups of sugar must be a whole number, we can round the value to the nearest whole number. Thus, s ≈ 3.
Now, we can find the amount of flour by substituting the value of sugar into the equation:
Flour = 3s + 4
Flour = 3(3) + 4
Flour = 9 + 4
Flour = 13
Therefore, there are 13 cups of flour in this recipe.
To know more about flour click here :
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The perimeter of a triangle is 38 feet. One side of the triangle is 4 feet shorter than the second side. The third side is 6 feet longer than the second side. Find the length of each side.
Answer:
First side, a = 8 ft.
Second side = 12 ft.
Third side, c = 18 ft.
Step-by-step explanation:
Let the sides of the triangle be a, b and c respectively.
Given the following data;
Perimeter = 38ft
First side, a = b - 4
Third side, c = b + 4
The perimeter of a triangle is given by the addition of all its three (3) sides.
Mathematically, the perimeter of a triangle is given by the formula;
P = a + b + c
Substituting into the equation, we have;
38 = (b - 4) + b + (b + 6)
38 = 3b + 2
3b = 38 - 2
3b = 36
b = 36/3
b = 12ft
To find the first side, a;
a = b - 4
a = 12 - 4
a = 8ft.
To find the third side, c
c = b + 6
c = 12 + 6
c = 18 ft.
I need this answer ASAP I will make first person to answer brainleist
Answer:
[tex]\frac{m}{3}[/tex] + 549.33
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] of the total earnings m subtracted by the lunch money and added by what they earned last week.
plis ayuda que tenga explicación y respuesta pero plissss ayuda
Answer:
3/4a-1/3b
OR
-1/3b+3/4a
Step-by-step explanation:
copy this and translate it, because I can't talk this language
add like terms 1/2a+1/4a=2/4a+1/4a=3/4a
then you write -1/3b itself because it don't have like terms
the final answer will be:
3/4a-1/3b
OR
-1/3b+3/4a
What are the next 3 terms in the sequence 3,6,9,12?
Answer:
15,18,21
Step-by-step explanation:
Answer:
15 18 21
Step-by-step explanation:
its skskskskskksksskskkssksksksk
sophie uses 18 beads to make a neckalace , 3/6 of the beads are purple
Answer:
9 beads are purple
Step-by-step explanation:
we know that
To find out how many beads are purple, multiply the total beads by the fraction of the beads that are purple
so
therefore
9 beads are purple
Another way to solve the problem is convert the fraction in percentage
we have
so
If the total are 18 beads
50% is 9 beads
therefore
9 beads are purple
1. Use the Pythagorean
Theorem to determine if a
triangle with side lengths 6ft.,
6ft., 8ft. is a right triangle.
Answer:
Not a right triangle
Step-by-step explanation:
[tex] {6}^{2} + {6}^{2} = 36 + 36 = 72...(1) \\ \\ {8}^{2} = 64....(2) \\ \\ from \: equations \: (1) \: and \: (2) \\ \\ {6}^{2} + {6}^{2} \neq {8}^{2} \\ \\ [/tex]
Hence, triangle with side lengths 6ft.,
6ft., 8ft. is not a right triangle.
Dara:240g
Brüt kütle:760g
Net Kütle:.....g
işlem:
Answer:
Net Mass = 520 g
Step-by-step explanation:
Given:
Waste = 240 g
Gross mass = 760 g
Find:
Net Mass
Computation:
Net Mass = Gross mass - Waste
Net Mass = 760 g - 240 g
Net Mass = 520 g
Please help!!!!! 20pts
Answer:
vertically Angle is correct answer
Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. If the coffee has a temperature of 185 degrees Fahrenheit when freshly poured, and 3 minutes later has cooled to 167 degrees in a room at 60 degrees, determine when the coffee reaches a temperature of 137 degrees.
Answer:
9.4 secs
Step-by-step explanation:
From Newton's law of cooling;
T(t) = Ts + Do e^-kt
Where;
D0= initial temperature difference
Ts= Temperature of the surroundings
t= time
K = positive constant
Do = 185 - 60 = 125 degrees
167 = 60 + 125 e^-3k
167 - 60 = 125 e^-3k
107/125 = e^-3k
ln(e^-3k) = ln(107/125)
-3k = -0.1555
k = 0.1555/3
k = 0.0518
Substituting the value of k to find the time taken to reach 137 degrees
T(t) = Ts + Do e^-kt
137 = 60 + 125 e^-(0.0518t)
137 - 60 = 125 e^-(0.0518t)
77 = 125 e^-(0.0518t)
e^-(0.0518t)= 77/125
ln [e^-(0.0518t)] = ln(77/125)
-0.0518t = -0.4845
t = 0.4845/0.0518
t = 9.4 secs
You buy a cell phone plan that gives you up to 1000 minutes of calling for $20 per month. During a particular month, you use only 100 minutes. What is your per-minute cost for that
month?
Answer:
20 cents
Step-by-step explanation:
Find the indicated real \large nth root(s) of \large a.
\large n=6, \large a=64
Answer:
e
Step-by-step explanation:
You start at (3,5). You move left and stop at (-5,5). How much distance have you traveled?
Answer:8
Step-by-step explanation:
Distance = √{(x1-x2)^2+(y1-y2)^2}
=√(64+0)
=8
Alison rolls two number cubes 90 times. How many times is he going to get a sum of 3?
15
Step-by-step explanation:
Answer:
I think 30 im so sure
Step-by-step explanation:
uhm i think its 90 divided by 3 cuz i looked it up and got 30 so yea bye
What is 12 divided by 8
Answer:
1.5
Step-by-step explanation:
Answer:
1.5 is the answer
hope it helps!
Green lawns uses 33 oz. Of fertilizer for 5.5 acres. Assume the company is fertilizing 0.5 of am acre. How much fertilizer does ot need?
Find the equation of the exponential function represented by the table below:
Answer:
[tex]y =5(3)^x[/tex]
Step-by-step explanation:
Given
The attached table
Required
Determine the equation of the table
The table represents an exponential function. So, we make use of
[tex]y = ab^x[/tex]
When x = 0, y= 5.
So:
[tex]y = ab^x[/tex] becomes
[tex]5 = ab^0[/tex]
[tex]5 = a*1[/tex]
[tex]5 = a[/tex]
[tex]a = 5[/tex]
When x = 1; y = 15
So;
[tex]y = ab^x[/tex] becomes
[tex]15 = a * b^1[/tex]
[tex]15 = a * b[/tex]
Substitute 5 for a
[tex]15 = 5 * b[/tex]
Divide both sides by 5
[tex]\frac{15}{5} = \frac{5 * b}{5}[/tex]
[tex]3 = b[/tex]
[tex]b = 3[/tex]
Substitute values for a and b in: [tex]y = ab^x[/tex]
[tex]y =5(3)^x[/tex]
Step 1: 12x – 15 – 12x = 7x + 20
Step 2: 12x – 12x – 15 = 7x + 20
Step 3: -15 = 7x + 20
Step 4: -35 = 7x
Step 5: -5 = 3
Drag and drop the correct justification for each step.
Step-by-step explanation:
step 1. 12x - 15 - 12x = 7x + 20
step 2. 12x - 12x - 15 = 7x + 20 (grouping of terms)
step 3. -15 = 7x + 20 (adding like terms)
step 4. -35 = 7x (subtract 20 from both sides)
step 5. this step is incorrect.
step 6. -5 = x ( divide both sides by 7)
step 7. x = -5 (put the variable first).
Which statement is true if a is the fourth root of 16, Show your work
a x a x a x a = 16
a = 164
4a = 16
a = 16/4
Given:
The statement is " a is the fourth root of 16".
To find:
The true statement for the given statement.
Solution:
The given statement is
a is the fourth root of 16.
Mathematically, it can be written as
[tex]a=\sqrt[4]{16}[/tex]
Taking power 4 on both sides.
[tex]a^4=(\sqrt[4]{16})^4[/tex]
[tex]a\times a\times a\times a=16[/tex]
Therefore, the correct option is A.
A true statement , if a is the fourth root of 16 is
a x a x a x a = 16
Important Information :
'a' is the fourth root of 16'a' is the fourth root of 16 can be written as
[tex]a=\sqrt[4]{16}[/tex]
To remove fourth root, we take exponent 4 on both sides
[tex]a=\sqrt[4]{16}\\(a)^4=(\sqrt[4]{16})^4[/tex]
Exponent 4 and fourth root will get cancelled
[tex]a^4=16\\a \cdot a\cdot a \cdot a=16[/tex]
a x a x a x a = 16
A true statement , if a is the fourth root of 16 is
a x a x a x a = 16
learn more about the radicals here:
brainly.com/question/1799883
What kind of sequence is this?
161, 161, 161, 161, ...
arithmetic
geometric
both
neither
Answer:
arithmetic sequence
is my answer
Jack is going to make treat bags to hand out on
Halloween. He is going to put a variety of candy in each
bag. To make 4 treat bags he will need 24 candies. How
many candies will he need to make 10 treat bags?
Answer:
60 candies
Step-by-step explanation:
A person places $37700 in an investment account earning an annual rate of 5%,
compounded continuously. Using the formula V = Peșt, where Vis the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 16 years.
Answer:
8,229,437 cents
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r)^n
Given
Principal invested = $37700
rate r = 5% = 0.05
Time t = 16years
Substitute into the formula
A = 37700(1+0.05)^16
A = 37700(1.05)^16
A = 37700(2.1829)
A = 82,294.37
Hence the amount of money, to the nearest cent, in the account after 16 years is 8,229,437 cents
A department of transportation's study on driving speed and miles per gallon for midsize automobiles resulted in the following data. Speed (Miles per Hour) 30 50 40 55 30 25 60 25 50 55 Miles per Gallon 29 26 26 22 29 31 21 35 25 26 Compute the sample correlation coefficient. (Round your answer to two decimal places.) Interpret the sample correlation coefficient. There is a strong negative relationship between the driving speed and miles per gallon. For driving speed between 25 and 60 miles per hour, higher speeds are associated with lower miles per gallon.
Answer:
R = -0.90 (2 decimal places)
Step-by-step explanation:
Given the data :
Speed (Miles per Hour) :
30
50
40
55
30
25
60
25
50
55
Miles per Gallon :
29
26
26
22
29
31
21
35
25
26
The correlation Coefficient, R shows the degree or level of relationship between the dependent and independent variable. A positive R value denotes a positive correlation while a negative R value denotes a negative relationship. R values should range between - 1 to +1 with values close to 1 and - 1 depicting strength while value of zero means no relationship exist.
Hence, R value of -0.90 depicts a strong negative relationship. Hence, higher speed are related to lower miles per gallon and vice versa.
Find the a10 for the sequence a n =(3)(2)^ n
hi
i need help!
please and thank you!
Answer: y=0.25
Step-by-step explanation: 1.2 / 4.8 = 0.25
Four friends are sharing 6 cups of lemonade. If they share the lemonade equally, how many cups will each friend get?
write what mixed number you got
Answer:
1 1/2 cups
Step-by-step explanation:
For f(x) =8x+11, find f(x) when x = 4.
Answer:
43
Step-by-step explanation:
Plug x in.
8(4)+11=32+11=43
Hope I helped!
Answer:
43
Step-by-step explanation:
f(x) = 8x + 11
x = 4
f(4) = 8(4) + 11
f(4) = 32 + 11
f(4) = 43
Evaluate 9(-2)
What’s the answer for this
Answer:
-18
Step-by-step explanation:
just multiply 9 and -2, and you'll get -18
Question 2
28 inches
3.5 feet
Write the following ratio in lowest terms.
Hint: 1 foot = 12 inches
Back
Next
It looks like 28inches
—————-
3.5 feet
