Answer:
7 / 15
Step-by-step explanation:
Fraction before painting = 5/6
Fraction left after painting = 11/30
Fracrion used = difference of the fraction before painting and fraction left after painting
Fraction used = 5/6 - 11/30
Lowest common factor of 6 and 30 = 30
5/6 - 11/30 = (25 - 11) / 30 = 14/ 30
Fraction used = 14/30 = 7/15
Alandra's rectangular cake pan is 33cm by 23 cm. She has enough cake batter to fill it to a depth of 3 cm. Instead, Alandra wants to pour the batter into ice cream cones. She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm. How many whole cones can Alandra fill?
Answer:
Alandra can fill 60 whole cones
Step-by-step explanation:
The volume of a rectangular prism is V = L × W × H, where
L is its lengthW is its widthH is its heightThe volume of the cone is V = [tex]\frac{1}{3}[/tex] π r² h, where
r is the radius of its baseh is its height∵ Alandra's rectangular cake pan is 33 cm by 23 cm
∴ L = 33 cm and W = 23 cm
∵ She has enough cake batter to fill it to a depth of 3 cm.
∴ H = 3 cm
→ Find the volume of the batter using the 1st rule above
∵ V = 33 × 23 × 3
∴ V = 2277 cm³
∵ Alandra wants to pour the batter into ice cream cones
∵ She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm
∴ h = 9 cm
∵ r = [tex]\frac{1}{2}[/tex] diameter = [tex]\frac{1}{2}[/tex] (4)
∴ r = 2 cm
→ Substitute them in the 2nd rule above to find the volume of each cone
∵ V = [tex]\frac{1}{3}[/tex] (π) (2)² (9)
∴ V = 12π cm³
→ To find the number of cones divide the volume of the batter by
the volume of each cone
∵ Number of cones = 2277 ÷ 12π
∴ Number of cones = 60.3993
→ We will take the whole number only because we need the whole cones
∴ Alandra can fill 60 whole cones
The table below shows the amount paid for different numbers of items.
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 5. The second column is labeled y with entries 0.50, 1.00, 1.50, 2.50.
Determine if this relationship forms a direct variation. Verify your answer.
Answer:
Yes, it is a direct variation. If the ordered pairs form a direct variation, the rate of change is constant and the ratio of y over x is constant. The rate of change, or constant of variation, is 0.5.
Step-by-step explanation:
That's the sample, I put:
Yes, a direct variation is when the ratio of y/x is constant and the rate of change is constant. In this example, the rate of change is seen as .50.
Answer:
a reference to the rate of change
a reference to the ratio of y over x
the constant of variation as 0.5
Step-by-step explanation:
20POINTS Which exponential functions have been simplified correctly? Check all that apply. f (x) = 5 RootIndex 3 StartRoot 16 Endroot Superscript x Baseline = 5 (2 RootIndex 3 StartRoot 2 EndRoot) Superscript x f (x) = 2.3 (8) Superscript one-half x Baseline = 2.3 (4) Superscript x f (x) = 81 Superscript StartFraction x Over 4 EndFraction Baseline = 3 Superscript x f (x) = three-fourths StartRoot 27 EndRoot Superscript x Baseline = three-fourths (3 StartRoot 3 EndRoot) Superscript x f (x) = (24) Superscript one-third x Baseline = 2 (RootIndex 3 StartRoot 3 EndRoot) Superscript x
Answer:
Options A C D
Step-by-step explanation:
doing the edge 2020 assignment right now
The correct answer are option (A) , (B), (C) and (D)
[tex]f(x) = 5(\sqrt[3]{16} )^x[/tex]
[tex]f(x) = 2.3(8)^\frac{1}{2}[/tex]
[tex]f(x) = 81^\frac{x}{4}[/tex]
[tex]f(x) = \dfrac{3}{4} (\sqrt{27} )^x[/tex]
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation : Divides left hand operand by right hand operand
For example 4/2 = 2
Given exponential functions :
[tex]f(x) = 5(\sqrt[3]{16} )^x[/tex]
[tex]f(x) = 2.3(8)^\frac{1}{2}[/tex]
[tex]f(x) = 81^\frac{x}{4}[/tex]
[tex]f(x) = \dfrac{3}{4} (\sqrt{27} )^x[/tex]
[tex]f(x) = (24)^\frac{1}{3}^x[/tex]
Simplification of the given exponential functions :
[tex]f(x) = 5(\sqrt[3]{16} )^x = 5(\sqrt[3]{2^3\times2} )^x = 5(2\sqrt[3]{2} )^x[/tex]
[tex]f(x) = 2.3(8)^\frac{1}{2} = 2.3(2^3)^\frac{1}{2}^x = 2.3.2(2)^\frac{1}{2}^x = 24.(2)^\frac{1}{2}^x[/tex]
[tex]f(x) = 81^\frac{x}{4} = f(x) = (3^4)^\frac{x}{4} = 3^x[/tex]
[tex]f(x) = \dfrac{3}{4} (\sqrt{27} )^x = \dfrac{3}{4} (\sqrt{3^3} )^x = \dfrac{3}{4} 3^x[/tex]
[tex]f(x) = (24)^\frac{1}{3}^x = 2(2)^\frac{1}{3}^x[/tex]
Hence, the correct answer are option (A) , (B), (C) and (D)
[tex]f(x) = 5(\sqrt[3]{16} )^x[/tex]
[tex]f(x) = 2.3(8)^\frac{1}{2}[/tex]
[tex]f(x) = 81^\frac{x}{4}[/tex]
[tex]f(x) = \dfrac{3}{4} (\sqrt{27} )^x[/tex]
Learn more about Arithmetic operations here:
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Jasmine bought 32 kiwi fruit for $16. How many kiwi can Lisa buy if she only has $4?
Answer:
two kiwis
Step-by-step explanation:
32 divided by 16 is 2 and if she only has $4 then she can only buy 2 kiwis.
If 3 sandwiches cost $12.70, how much will 13 sandwiches cost?
Answer - $55.03 .
12.70 divided by 3 = 4.23 x 13 = 55.03 .
Using the equation y = 2x + 5, what would the input need to be for an output of -15?
Answer:
x = -10
Step-by-step explanation:
y = 2x + 5
-15 = 2x + 5
-20 = 2x
-10 = x
Answer:
-10
Step-by-step explanation:
y = -10
Choose the answer that shows exponential decay?*
A) y=1/3•2^x
B) y=4•(1/2)^x
C) y=4•2^x
D) y=1/2•2^x
can you help me please
Answer:
zero slope
Step-by-step explanation:
its not goin up or down so there is no slope:)
also look below :)
15 m/s in km/h plz help
Answer:
54 km/h
Step-by-step explanation:
Step one:
given data
We are required to perform unit from m/s km/h
from 15m/s to km/h
Step two:
1 meter= 1/1000 km,
1 seconds= 1/3600 hour
1m/s = 1/1000/1/3600= km/h= 3600/1000= 36/10= 18/5 km/h
so of 1m/s is equivalent to 18/5 km/h
then 15m/s is equivalent to x
cross multiply
x= 15*18/5
x= 3*18
x=54 km/h
In the expression 50+4x the number (4) in front of the variable (x) represents the rate of change true or false
A scenic overlook which extends over a ravin is shaped like a kite. I’m slow help
Answer:
B
Step-by-step explanation:
1) 35 is what percent of 140 2) 250 is 45% of what number? 3) 74 is what percent of 740? 4) 350 is 50% of what number?
Answer:
1) 25%
2) 555.56
3) 10%
4) 700
Step-by-step explanation:
1) 35 is what percent of 140
This is calculated as:
35/140 × 100
= 25%
2) 250 is 45% of what number?
Let the number be represented as x
This is calculated as:
45% of x = 250
45/100 × x = 250
45x /100 = 250
Cross Multiply
45x = 250 × 100
x = 25000/45
x = 555.55555556
x = 555.56
3) 74 is what percent of 740?
Let the percentage be represented by x
x% × 740 = 74
Divide both side by 740
x% = 74/740
x% = 0.1
Converting to percentage
0.1 × 100 = 10%
4) 350 is 50% of what number?
Let the number the represented by x
This is calculated as:
50% of x = 350
50/100 × x = 350
50x /100 = 350
Cross Multiply
50x = 350 × 100
x = 35000/50
x = 700
x = 555.56
Which states the main argument of the essay?
A. the first sentence
B. the second sentence
C. the third sentence
D. the fourth sentence
Answer:
d
Step-by-step explanation:
that's the argument that they are making
Answer:
b
Step-by-step explanation:
Solve the system by substitution y=6x and 7x-8y=-41
Answer:
Y=6 and x=1
Step-by-step explanation:
y=6x
∴y-6x=0
and 7x-8y=-41
Suppose,
-6x+y=0→(1)
and 7x-8y=-41→(2)
Taking equation (1), we have
-6x+y=0
⇒y=6x→(3)
Putting y=6x in equation (2), we get
7x-8y=-41
7x-8(6x)=-41
⇒7x-48x=-41
⇒-41x=-41
⇒x=1→(4)
Now, Putting x=1 in equation (3), we get
y=6x
⇒y=6(1)
⇒y=6
∴y=6 and x=1
Which point of concurrency is always on the vertex of a right triangle
Answer:For every right triangle, the circumcenter is always the midpoint of the hypotenuse. All four points of concurrency can themselves be concurrent! Only with an equilateral triangle will the centroid, circumcenter, incenter and orthocenter always be the same point!
Step-by-step explanation:
please say the answer of this
3√5+√5
4√5
According to Brainly I need to have at least 20 characters before being able to 'Add My Answer'.
question;
3√5+√5
answer:
Decimal Form:
8.94427191
Find the sum of the interior angle measures of the polygon.
explain pls
Answer:
The sum of the interior angles would be 360 because every quadrilateral has the interior angles equaling 360
Step-by-step explanation:
In ΔPQR, \overline{PR} PR is extended through point R to point S, \text{m}\angle QRS = (4x-15)^{\circ}m∠QRS=(4x−15) ∘ , \text{m}\angle RPQ = (x+1)^{\circ}m∠RPQ=(x+1) ∘ , and \text{m}\angle PQR = (x-2)^{\circ}m∠PQR=(x−2) ∘ . Find \text{m}\angle RPQ.m∠RPQ.
Answer:
Step-by-step explanation:
Notice that, the angle QRS is external to the triangle and adjacent to the angle PRQ. According to the theorem of a external/adjacent angle, we have: m∠QRS = m∠PQR + m∠RPQ, where PQR and RPQ are internal angles.
From the hypothesis, we have:
m∠QRS =(10x−12)∘(10x−12)
m∠PQR = (3x+20)∘(3x+20)
m∠RPQ=(3x−8)∘(3x−8)
Using the first equation and replacing the hypothesis:
m∠QRS = m∠PQR + m∠RPQ
(10x−12)∘(10x−12) = (3x+20)∘(3x+20) + (3x−8)∘(3x−8)
Multiplying and applying the remarkable identity:
Then, we use a calculator to find the roots, which are:
In this case, we will see what root is the right one.
Now, we replace it into m∠QRS =(10x−12)∘(10x−12), because we need to find m∠QRS.
m∠QRS =(10x−12)∘(10x−12) = (10(4.7) - 12) (10(4.7) - 12) = (35) (35) = 1225
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
if you are doing deltamath
work out 140-3^2×(8+4)+6÷2
Answer:
140 - 9 (12) + 3
140 - 108 +3
140 - 111
= 29
The scale of a map is 1 inch: 3 miles. Red Oak is 15 miles from Marsh City. What would its distance be on the map? PLEASE ANSWER ASAP!!!
Answer:
5 inches
Step-by-step explanation:
[tex]\frac{1}{3} =\frac{x}{15}\\3x=15\\x=5[/tex]
What is the y-intercept of the functiion f(x)=-2/9x+1/3 O-2/9 O-1/3 O1/3 O2/9
Please see the image attached for the solution.
solve by completing the square t² - 6t = 7
Answer:
t = 7 or t = -1
Step-by-step explanation:
You can use a calculator or:
t² - 6t = 7
-> t² - 6t -7 = 0
-> t² - 7t + t - 7 = 0
-> t(t-7) + (t-7) = 0
-> (t-7) . (t+1) = 0
-> t = 7 or t = -1
Answer:
T = 7
Step-by-step explanation:
How you find T is by multiplying different numbers and squaring them by subtracting until you get to the number that equals to 7
Choose the equation that represents the line passing through the point (−2, −3) with a slope of −6.
y = −6x − 15
y = −6x − 20
y = −6x + 15
y = −6x + 20
A tour bus holds 40 people. It charges $7 per ticket. The function representing the total sales is f(x) = 7x, where x represents the number of tickets sold. What is the domain?
A) x = all real numbers
B) x = all non-negative integers 280 or belowx = all non-negative integers 40 or below
C) x < = 40
D)x = all non-negative integers 40 or below
Answer: The answer is D
Step-by-step explanation: Is can't be anything negative because you cant have negative people and the bus can hold 40 people. It can be > or equal to 40.
Find the value of k, if x + 3 is a factor of 3x² + kx + 6. *
Given:
Polynomial = P(x) = 3x² + kx + 6
Factor of the ablove polynomial = (x+3)
To Find:
Value of K, for which (x+3) become the factor of P(x) = 3x² + kx + 6
Solution :
Now,
x + 3 = 0
⇒x = (-3)
So,
As (x+3) is a factor so x = (-3) is one root of the polynomial.
Therefore,
P(-3) = 0
→ P(-3) = 3(-3)² + k(-3) + 6 = 0
→ 3(9) - 3k + 6 = 0
→ 27 - 3k + 6 = 0
→ 27 + 6 - 3k = 0
→ 33 - 3k = 0
→ - 3k = -33
→ k = -33 ÷ -3
→ k = 11
Hence,For the value of k = 11, (x+3) is a factor of 3x²+ kx + 6V E R I F I C A T I O N :3x²+ kx + 6, by putting the value of k = 11 and taking -3 as root the remainder should be zero
→ 3x²+ 11x + 6
→ 3(-3)² + 11(-3) + 6
→ 3(9) - 33 + 6
→ 27 - 33 + 6
→ 27 + 6 - 33
→ 33 - 33
→ 0
Hence verified !
Mary made $216 for 12 hours of work. At the same rate, how many hours would she have to work to make $162?
Answer:
2754
Step-by-step explanation:
Answer:
9 Hours
Step-by-step explanation:
162 X 12 / 216 = 9 Hours
Joey has won 3 out of the last 8 games of cards he has played with his brother. They play 16 more games, how many of those games does Joey expect to win?
Answer:
6 games
Step-by-step explanation:
Joey has won 3 out of the last 8 games of cards he has played with his brother. They play 16 more games, how many of those games does Joey expect to win?
8 games = 3 won
16 games = x
Cross Multiply
8x = 16 × 3
8x = 48
x = 48/8
x = 6
If they play 16 more games, Joey expects to win 6 games
Answer:
6 games
Step-by-step explanation:
2 x 8 = 16 so, if he won 3 out of 8 he will expect to win another 3 games.
480 into ratio 1:3:4
Step-by-step explanation:
60: 180: 240
hope it helps!
can anyone answer this with expanation?
18. ∆PQR =~ ∆RPA ( by SAS )
19. ∆DQR =~ ∆PQR ( by AAS )
20. ∆ARO =~ ∆PQO ( by AAS )
A family is driving 550 miles to their grandmother's house. They have already driven 350 miles. Which equation shows the rate r, in miles per hour the family must drive to reach their grandmother's house in 4 hours
Answer:
50 mph
Step-by-step explanation:
drive to reach their grandmother's house in 4 hours
Given that:
Miles driven = 550 miles
Miles already driven = 350 miles
Miles left to drive = (550 - 350) miles = 200 miles
To reach destination in 4 hours
Speed in miles per hour will be :
Distance / time
= 200 miles / 4 hours
= 50 miles / hour
Answer:
50 mph
Step-by-step explanation:
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