The ratio of sugar to flour is 3:4. If there are 6 cups of sugar, how many cups of flour are there?
Answers
Answer: 8
Step-by-step explanation:
its literally 3:4 x 2
Related Questions
4. ADEF is an equilateral triangle.
E
24
20
D
F
Answers
By Pythagorean theorem
x²+GF²=EF² ( where G is the point of intersection of perpendicular lines)
now, GF=1/2 EF= 12
x²+12²=24²
x²=24²-12²
x²=432
x=√432
x=12√3
x≈20.78
The 10 passengers on a small airplane have paid a total of $1,580 for the flight.
If an economy ticket cost $135 and a first-class ticket costs $250 , how many economy tickets were bought?
Answers
Answer:
8 people bought economy and 2 bought first class
Step-by-step explanation:
there are 10 person and total is 1580 so 250+ 9(135)=1460 which is wrong so we gonna try adding 2(250) and 8(135) which got us 1580
Completely factor the polynomial. 16x 2 - 25
Answers
Answer:
(4x-5)(4x+5)
Step-by-step explanation:
16x^2 - 25
Rewriting
(4x)^2 - 5^2
We recognize that this is the difference of squares
a^2 - b^2 = (a-b) (a+b)
(4x)^2 - 5^2 = (4x-5)(4x+5)
(4x-5)(4x+5)
16x^2 - 25
Rewriting
(4x)^2 - 5^2
We recognize that this is the difference of squares
a^2 - b^2 = (a-b) (a+b)
(4x)^2 - 5^2 = (4x-5)(4x+5) is the ansswer to the question
Help please I need it
Answers
Answer:
12x
Step-by-step explanation:
The perimeter is the sum of the side lengths:
P = 3x + 4x + 5x
P = 12x
The perimeter of the figure is 12x.
round off all answer in to two decimal places A=p(1+in) Steven won a portion of the local lottery.the price money is to the value of R18000.he wants to invest the money but does not know which bank to choose. FNB offers Steven 5,6/% for 8 years simple interest per annum, Nedbank offers Steven 6,6% for 6 years simple interest per annum and standard bank offers 7,2% for 5 years simple interest determine each bank future value to help Steven decide which bank he should choose FNB NEDBANK STANDARD BANK
Answers
Answer:
FNB bank
Step-by-step explanation:
FNB = 18000 * 0.056* 8 = 8064
Nedbank = 18000*0.066* 6 = 7128
Standard = 18000*0.072*5=6480
FNB is the best choice for Steven
The Perimeter of a triangle is 90 cm. The triangle has side lengths of 2x + 5, 4x - 10, and x + 4. Find the value of x and the length of each side.
Answers
Answer:
I don't understand oof oof
Step-by-step explanation:
Sydney drove 117 miles in 3 hours. If she continued at the same rate, how far would she travel in 19 hours
Answers
Answer:
741 miles
Step-by-step explanation:
117 / 3 = x
x * 19 = a
hope this helps :)
Fewer than 50 people bought tickets
Answers
it doesn't make sense kay
Cameron collected 3 times as many canned goods as Diego. Diego collected 47 canned goods.
How many canned goods did Cameron collect?
Answers
Answer:
141 Canned Goods
Step-by-step explanation:
If Cameron collected 3 times as many canned goods as Diego and Diego collected 47 canned goods, then Cameron collected 141 canned goods.
9. Margie and Glenn are trying to solve the following system of equations.
5x - 4y= 23
7x + 8y = 5
Glenn thinks that the elimination method will not work. Margie is not so sure about that.
With your team, decide whether Glenn is correct and write a few sentences justifying
your conclusion. If the elimination method will work, show how. If not, use another
method to solve the system.
Answers
7x + 8y = 5
10x - 8y = 46
7x + 8y = 5
17x = 51
X = 51/17
X = 3
7(3) + 8y = 5
21+8y = 5
8y = 5 - 21
8y = -16
Y = -16/8
Y = -2
How far does the tip of a minute hand on a clock travel in 15 minutes if the distance from the center to the tip is 8cm? Leave your answers in terms of pi or round your answer to the nearest tenth.
SHOW WORK
Answers
The tip of the minute hand on a clock travels a distance of 4π inches in 15 minutes.
How to find the distance of the tip minute handThe distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.
The circumference of a circle is given by the formula:
C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.
The distance from the center of the clock to the tip of the minute hand is the radius is 8 centimeters.
The circumference of the circle traced by the tip of the minute hand is:
\(\text{C} = 2\pi \text{r}\)
\(= 2\pi (8)\)
\(= 16\pi \ \text{centimeters}\)
Since the minute hand travels the full circumference of the circle in 60 minutes, in 15 minutes it will cover 15/60 = 1/4 of the circumference.
The distance traveled by the tip of the minute hand in 15 minutes is:
\(\text{Distance} = \huge \text(\dfrac{1}{4}\huge \text) \times C\)
\(= \huge \text(\dfrac{1}{4}\huge \text) \times (16\pi)\)
\(= 4\pi \ \text{centimeters}\)
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Answer:
4π cm ≈ 12.6 cm
Step-by-step explanation:
The clock can be modelled as a circle, where the radius (r) is equal to the length of the minute hand: r = 8 cm.
A clock face is divided into 12 equal sectors (numbered 1 to 12).
It takes 60 minutes for the minute hand to complete one revolution of the clock. Therefore, each sector represents the passing of 5 minutes.
This means that 15 minutes equals 3 sectors, which is a quarter of the circle.
To find the distance the tip of the minute hand travels in 15 minutes, we need to find a quarter of the circumference of a circle with radius 8 cm.
The formula for the circumference of the circle is C = 2πr, where r is the radius. Therefore, the equation to find the distance the tip of the minute hand travelled in 15 minutes is:
\(\sf Distance=\dfrac{2 \cdot \pi \cdot 8}{4}\)
Simplifying, we get:
\(\sf Distance=\dfrac{16 \cdot \pi}{4}\)
\(\sf Distance=4 \pi\)
Therefore, the minute hand will travel 4π cm or approximately 12.6 cm (to the nearest tenth) in 15 minutes.
Points B, D, and F are midpoints of the sides of triangle ACE. EC = 39 and DF = 23. Find AC. The diagram is not to scale.
Answers
Answer:
46
Step-by-step explanation:
The midsegment DF has half the length of the side AC it is parallel to.
__
AC = 2×DF = 2×23
AC = 46
In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Paul has scored 82 , 88 , and 87 on the first three. What range of scores on the fourth test will give Paul a C for the semester (an average between 70 and 79 , inclusive)? Assume that all test scores have a non-negative value.
Answers
Scores between 23 & 59 will give Paul a C for the semester (an average between 70 and 79).
The sum of the scores on the first three, hundred point tests
= 82 + 88 + 87 = 257.
The total score required in four 100-point tests to get an average score of 70 = 70X4= 280.
The total score required in four 100-point tests to get an average score of 79 = 79X4= 316.
Therefore, the score on the fourth test should be between (280-257) & (316-57) i.e, 23 & 59 to get an average score of 70 & 79.
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Find y' if y=2x^6-5x^5+3/x^4
Answers
Given the function:
\(y=\frac{2x^6-5x^5+3}{x^4}\)We can write the given function as follows:
\(\begin{gathered} y=(2x^6-5x^5+3)\cdot x^{-4} \\ y=2x^2-5x+3x^{-4} \end{gathered}\)So, y' will be as follows:
\(\begin{gathered} y^{\prime}=2\cdot2x-5\cdot1+3\cdot(-4x^{-5}) \\ \\ y^{\prime}=4x-5-\frac{12}{x^5} \end{gathered}\)So, the answer will be: y' = 4x - 5 -12/x^5
(-6-4): (15) =
what does this equal
Answers
sin(90-x)+cos(180+x)+cos180÷tan(180-x).sin135
Answers
Answer: not sure i understand the question here
Step-by-step explanation:
Susan works as a hostess where she makes $8.75 per hour. She also babysits and earns $10 per hour. Last week she made $165. If she worked six hours more as a hostess then she did babysitting, how many hours did she babysat last week?
Answers
Answer:
she babby sat atleast 4 hours last week
Mr. Adams has a circular flower bed with a
diameter of 2 feet. He wishes to increase the size of this bed so that it will have nine times as much planting area. What must be the diameter of the new bed?
(F) 6 feet
(G) 8 feet
(H) 12 feet
(J) 16 feet
(K) none of these
Please Help!!!
Answers
A = πr^2
A = π(1^2)
A = π
To increase the planting area by a factor of 9, we need a new area of:
9A = 9π
To find the radius of the new flower bed, we can use the formula for the area of a circle again:
9π = πr^2
9 = r^2
r = 3
So the radius of the new flower bed is 3 feet, which means the diameter is:
D = 2r = 2(3) = 6 feet
Therefore, the diameter of the new bed is 6 feet, which corresponds to answer choice (F).
Answer: (F) 6 feet
Step-by-step explanation:
The area of a circle is proportional to the square of its radius. So if we increase the diameter of the flower bed by a factor of x, its area will increase by a factor of x^2. We want to find the diameter of the new bed that will have nine times the planting area of the old bed.
Let d be the diameter of the new bed. Then its radius is r = d/2, and its area is A = πr^2. We want:
9A = π(D/2)^2
where D is the diameter of the old bed. Substituting r = D/2, we get:
9A = π(D/2)^2
= πr^2
So we can solve for d by equating the right-hand sides and taking the square root:
9πr^2 = πd^2
d^2 = 9r^2
d = 3r
Therefore, the diameter of the new bed must be three times the diameter of the old bed. The diameter of the old bed is 2 feet, so the diameter of the new bed is 3 times that, or 6 feet.
For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
Answers
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
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Pls help with math !!!
Answers
Kevin's kick can be considered the best among the four.
To determine the most impressive kick, we can compare the distances and heights achieved by each player.
Andre's kick reached a maximum height of 17 yards and landed 48 yards away from the goal.
Juana's kick followed the path y = -x + 14 - 24, where y represents the height of the ball in yards and x represents the horizontal distance from the goal line. From the graph, we can estimate that her kick landed about 38 yards from the goal and reached a maximum height of 14 yards.
Kevin's kick is shown in the graph, indicating that it landed approximately 19 yards from the goal and had a peak height of 20 yards.
Emiko's kick reached a maximum height of 18 yards and landed approximately 20 yards from the goal.
Considering these measurements, Kevin's kick stands out. It traveled the farthest, landing closest to the goal line, and it achieved the highest height, reaching 20 yards. Consequently, Kevin's kick can be considered the best among the four.
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what is -4 3/4 = x - 1 1/5
Answers
Answer:
12.95 or in fraction form 259/20Step-by-step explanation:
Do you want to know how to write the decimal number 12.95 as a fraction?
Here we will show you step-by-step how to convert 12.95 so you can write it as a fraction.
You can take any number, such as 12.95, and write a 1 as the denominator to make it a fraction and keep the same value, like this:
12.95 / 1
To get rid of the decimal point in the numerator, we count the numbers after the decimal in 12.95, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.
Therefore, in this case we multiply the numerator and denominator by 100 to get the following fraction:
1295 / 100
Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.
The GCD of 1295 and 100 is 5. When we divide the numerator and denominator by 5, we get the following:
259 / 20
Therefore, 12.95 as a fraction is as follows:
259 / 20
linda Put $610 in a savings account that pays 1.2% interest each year. Enrique puts $590 in a high-yield account that pays 3.9% interest each year.
PART A: After one year who has more money? How much more?
PART B: After a second year who has more money? How much more?
Answers
PART A: Linda has $4.41 more than Enrique after one year.
PART B: Enrique has $12.10 more than Linda after the second year.
PART A: After one year, we can calculate the amount of money each person has in their respective accounts.
For Linda's account:
Principal amount = $610
Interest rate = 1.2%
\(Interest $ earned = Principal $ amount \times (Interest rate/100) = $610 \times (1.2/100) = $7.32\)
\(Total $ amount after one year = Principal amount + Interest earned = $610 + $7.32 = $617.32\)
For Enrique's account:
Principal amount = $590
Interest rate = 3.9%
\(Interest $ earned = Principal amount \times (Interest rate/100) = $590 \times (3.9/100) = $22.91\)
Total amount after one year = Principal amount + Interest earned = $590 + $22.91 = $612.91
Comparing the two amounts, after one year Linda has more money.
The difference in the amount is:
$617.32 - $612.91 = $4.41
Therefore, Linda has $4.41 more than Enrique after one year.
PART B: After a second year, we need to calculate the amounts again.
For Linda's account:
Principal amount = $617.32
Interest rate = 1.2%
\(Interest earned = Principal amount \times (Interest rate/100) = $617.32 \times (1.2/100) = $7.41\)
Total amount after the second year = Principal amount + Interest earned = $617.32 + $7.41 = $624.73
For Enrique's account:
Principal amount = $612.91
Interest rate = 3.9%
\(Interest earned = Principal amount \times (Interest rate/100) = $612.91 \times (3.9/100) = $23.92\)
Total amount after the second year = Principal amount + Interest earned = $612.91 + $23.92 = $636.83
Comparing the two amounts, after the second year Enrique has more money.
The difference in the amount is:
$636.83 - $624.73 = $12.10
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Amy and Zack each have 24 feet of fencing for their rectangular gardens. Amy makes her fence 6 feet long. Zack makes his fence 8 feet long. Whose garden has the better area? How much greater?
Answers
Answer:
The answer is Zack garden
Roman numerals for 29 is
Answers
hello!
Answer:
XXIX
Step-by-step explanation:
Hope this helps! :)
Given −48.132 ÷ −0.84, find the quotient.
40.4
47.292
57.30
−5.73
Answers
The quotient of the expressions −48.132 and −0.84 will be 57.30. Then the correct option is C.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Division means the separation of something into different parts, sharing of something among different people, places, etc.
Given −48.132 ÷ −0.84.
Then the value of the expression will be
⇒ −48.132 / −0.84
If in the numerator and the denomination, the negative sign is present, then both will cancel out each other.
⇒ 48.132 / 0.84
⇒ 57.30
The quotient of the expressions −48.132 and −0.84 will be 57.30.
Then the correct option is C.
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Complete the table. Answer should be T or F.
P Q
T F P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
F T P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
Answers
P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
T T T T T F F F F F T T
F T T F F T T T T T F F
P F T F F T T T T T F F
-P T T F F T T T T T F F
-Q T T T T F T F F F T T
-P V -Q T T F F T T T T T F
-P -> Q T T F F T T T T T F
-P -> -Q T T F F T T T T T F
P <-> Q T T T T F T T T T F
Here is a more detailed explanation of how I filled out the table:
P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.
P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.
P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.
P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.
-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.
-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.
-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.
-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.
-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.
P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.
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you are packing for a road trip and want to figure out how much you can fit in your rectangular suitcase the suitcase has the following dimensions list length2 1/3ft width 1/3ft 1 1/2ft what is the volume of your suitcase in cubic feet
Answers
The Volume of the suitcase is given by the formula:
Length x width x height = L X W X H
L= 2 1/3ft
W= 1/3ft
H= 1 1/2ft
\(\begin{gathered} \text{Volume = 2}\frac{1}{3\text{ }}\text{ x }\frac{1}{3}\text{ x 1}\frac{1}{2}ft^3 \\ V\text{ = }\frac{7}{3}\text{ x }\frac{1}{3}\text{ x}\frac{3}{2}ft^3 \\ V\text{ = }\frac{21}{18}ft^3 \\ V=\text{ }\frac{7}{6}ft^3 \\ V=\text{ 1}\frac{1}{6}ft^3 \end{gathered}\)Volume of the suitcase is 1 1/6 cubic feet
Christopher buys 5 apples for $2.60 how much does one apple cost
Answers
Answer:
There 0.52 cents each because if you do 260 ÷ 5 you get 52 then you add the decimal 0.52
What is 3-3×6+2 please?
Answers
Answer:
-13Step-by-step explanation:
What is 3-3×6+2 please?
remember PEMDAS
3 - 3 × 6 + 2 = (solve multiplication)
3 - 18 + 2 = (solve addition)
3 - 16 = (solve subtraction)
-13 (result)
I'd like to know what is -5.33333333333 as a fraction please help me thank you very much :)
Answers
Answer:
-5 33333333333/100000000000
Step-by-step explanation:
Answer:
-5 3333333/10,000,000
Step-by-step explanation:
all u have to do is divide 5.33333333333 by how much the places there are