if we covert 4 cm/second into cm/minute we get answer as 240 centimeters per minute.
What is centimeter?
A centimeter is a unit of measurement that is one tenth of a meter or ten millimeters in the metric system. The length of an object is measured in centimeters, which are metric units of measurement. The abbreviation is cm.
We have given,
4 centimeters per second and we have asked to convert it in centimeters per minute.
We know that 1 minute contains 60 seconds.
It tells us that,
x cm/s = 60x cm/minute
4 cm/s = 60(4) cm/minute
4 cm/s = 240 cm/minute
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Complete Question
Convert 4 cm/s to cm/min
Apple Melon recipe calls for two 2 1/2 cups of watermelon, 3/4 cups of cantaloupe been one and 1/2 tablespoons of honey. what amount of ingredients is needed for 10 and 15?
The amount of ingredients needed for 10 apple melon recipe is 25 cups of watermelon, 7.5 cup of cantaloupe and 15 cup of honey, and for 15 is 37.5 cups of watermelon, 11.25 cup of cantaloupe and 22.5 cup of honey.
What do you mean by recipe?
A recipe contains the list of ingredients and set of instructions that tells us how to cook any particular dish.
As given in the question, for one recipe, we need
2 & 1/2 cups of watermelon, 3/4 cup of cantaloupe and 1 &1/2 cup of honey.
We can also say it as:
2.5 cups of watermelon, 0.75 cup of cantaloupe and 1.5 cup of honey.
In order to the amount of ingredients for 10 we need to multiply each ingredient with 10.
so it will become,
25 cups of watermelon, 7.5 cup of cantaloupe and 15 cup of honey.
Similarly, In order to the amount of ingredients for 15 we need to multiply each ingredient with 15.
so it will become, 37.5 cups of watermelon, 11.25 cup of cantaloupe and 22.5 cup of honey.
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[tex][(1 + \frac{1}{2})}^{2} -2[/tex]
The value of the expression as in the task content is; 1/4.
What is the value of the expression given in the task content?It follows from the task content that the value of the expression is to be determined.
Hence, since the expression whose value is required to be determined is ; (1 + (1/2))² - 2.
It follows from PEMDAS guidelines that the parentheses be solved first so that we have;
(3/2)² - 2........After solving the parentheses.
Next, the exponent should be solved as follows;
= (9/4) - 2.
And finally, by solving the subtraction; we have;
= 1/4 = 0.25.
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When you flip a biased coin the probability of getting a tail is 0.75.
How many times would you expect to get tails if you flip the coin 240 times?
Answer:
180
Step-by-step explanation:
It's 180 because 75% of 240 is 180.
a. Graph f(x)=left brace7x−12if x≤3x2if x>3b. Find f(1) and f(5).c. State the domain of the function.
Given:
The function is,
[tex]\begin{gathered} f(x)=7x-12,\text{ x}\leq3 \\ =x^2,x>3 \end{gathered}[/tex]a) The graph of the given function us,
Answer: option B)
b) f(1) and f(5) is,
[tex]\begin{gathered} \text{For x=1,} \\ f(x)=7x-12\text{ , if x}\leq3 \\ f(1)=7(1)-12=-5 \\ \text{For x=5,} \\ f(x)=x^2,\text{ if x>3} \\ f(5)=5^2=25 \end{gathered}[/tex]Answer:
[tex]\begin{gathered} f(1)=-5 \\ f(5)=25 \end{gathered}[/tex]c) the domain of the function is,
[tex]undefined[/tex]Please help me i can't seem to get it
Answers:
Horizontal lineGraph rises and is steeperGraph falls and is steeperGraph rises and is less steepGraph falls and is less steep=======================================================
Explanation:
Think of a roller coaster. A sharp drop is where we have a very steep decline. The steeper the line, the more rapid the drop.
The same can be said for when the graph increases as well.
Horizontal portions of the graph are when the elevator isn't moving. The x value (time) is always moving forward of course, but the y value (height of the elevator) is not changing.
It cost Steve $135.75 to buy 15 albums from an online music store. How much did 1 album cost?
Answer: $9.05
Step-by-step explanation:
divide 135.75 by 15 in order to find the cost of one album.
135.75 / 15 = 9.05
answer: $9.05
estimate the square root of 7 to the nearest whole number.
question 5 (10 points)
is 1/8 a rational number? explain your reasoning
The number given as 1/8 is a rational number
How to determine the true statement?The number is given as
Number = 1/8
As a general rule, a rational number is represented as
Rational number = Numerator/Denominator
This in other words means that
A rational number can be represented as a fraction of two integers
In this case, we have
Numerator = 1
Denominator = 8
This means that the given number is 1 rational number
This is because it can be represented as a fraction of two integers
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PLS HELP 30 POINTS IF YOU ANSWER THIS! AND BARIN LIST. PRETTY SIMPLE.
• Jackie made a mistake when he _________.
• The Triangle Congruence Postulate or Theorem that is easiest for me to use is ____ because _____.
• The Triangle Congruence Postulate or Theorem that is the most difficult for me to use is ____ because _____.
By HL theorem we can conclude that both the triangles are congruent
ΔAED ≅ ΔBEC
What is HL theorem?HL theorem: The Hypotenuse-Leg (HL) Triangle Congruence Theorem is a special case that allows you to show that two right triangles are congruent. If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
Jackie made a mistake by determining ΔADE is congruent to ΔCBE
we can't conclude it directly because the angles at D and B may be different
∠E=90° and given that hypotenuse of both the triangles are congruent
AD≅CB and leg of the two triangles are congruent AE≅BE
then by HL theorem we can conclude that both the triangles are congruent
ΔAED ≅ ΔBEC
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The Hypotenuse-Leg (HL) Triangle Congruence Theorem is a special case that allows you to show that two right triangles are congruent. If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
Jackie made a mistake by determining ΔADE is congruent to ΔCBE
we can't conclude it directly because the angles at D and B may be different
∠E=90° and given that hypotenuse of both the triangles are congruent
AD≅CB and leg of the two triangles are congruent AE≅BE
Then by HL theorem we can conclude that both the triangles are congruent
ΔAED ≅ ΔBEC
Given m<7=107 and m<4= (8x+1) what is the value of x?
The value of x comes out to be 9.
Here, we are given that m∠7 = 107 and m∠4 = (8x+1)
From the figure given below, we can see that angle 7 and angle 6 are vertically opposite angles. Thus-
angle 7 = angle 6
measure of angle 6 = 107°
Now, angle 6 and angle 4 are opposite interior angles and the sum of opposite interior angles is equal to 180. Thus-
m∠4 + m∠6 = 180
8x + 1 + 107 = 180
8x + 108 = 180
8x = 180 - 108
8x = 72
x = 72/8
x = 9
Thus, the value of x comes out to be 9.
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Your question was incomplete. Check for the missing figure below.
If you buy 40 m of timber at a cost of $200, what is the cost per metre?
Answer: a meter of timber is 5$
Answer:
Rs5
Step-by-step explanation:
40m =Rs 200
Therefore, 1m = 200/40
= Rs 5
To travel the Erie Canal,a boat must go through locks that raise or lower the boat Traveling east , a boat would have to be lowered 12 feet at amsterdam ,11 feet at tribes hill , and 8 feet at Randall .by how much does the elevation of the boat change between Amsterdam and Randall?????
If boat must go through locks that raise or lower the boat Traveling east , a boat would have to be lowered 12 feet at amsterdam ,11 feet at tribes hill , and 8 feet at Randall . the elevation of the boat change between Amsterdam and Randall is 31 feet.
Elevation boat changeGiven :
Boat lowered at Amsterdam = - 12 feet
Boat lowered at tribes hill = - 11 feet
Boat lowered at Randall = - 8 feet
Now let calculate or determine the change in boat elevation
Change in elevation = - 12 + ( - 11 ) + ( - 8 )
Change in elevation = - 31 feet or lowered 31 feet
Therefore we can conclude that the change in the elevation boat is 31 feet.
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Describe the Method and Operation
Given that
[tex]\begin{gathered} (\frac{5n^6}{m^{-3}n^2})^2 \\ \text{According to the law of indies,} \\ (\frac{a}{b})^2\text{ = }\frac{(a)^2}{(b)^2} \\ (\frac{5n^6}{m^{-3}n^2})\text{ = }\frac{(5n^6)^2}{(m^{-3}n^2)^2} \\ \text{According to the law of indicies again,} \\ (a^x)^y=a^{x\cdot y} \\ =\text{ }\frac{(5n^{6\text{ x 2}})}{(m^{-3\cdot2}n^{2\cdot2})} \\ =\text{ }\frac{5n^{12}}{(m^{-6}n^4)} \\ \text{According to the law of indices} \\ x^{-1}\text{ = }\frac{1}{x} \\ =5^{}n^{12}\cdot n^{-4}\cdot m^6 \\ =5n^{12\text{ - 4}}m^6 \\ =5n^8m^6 \end{gathered}[/tex]Prove that the opposite angles of a parallelogram are equal.
The opposite angles of a parallelogram are equal.
x + y = a+ b
Let's consider a quadrilateral ABCD which is a parallelogram with AC as its diagonal.
We know, in parallelograms opposites' sides are parallel.
So, AB∥DC and AD∥BC
Since AB is parallel to DC and AC is the transversal.
By alternate angles,
∠BAC = ∠DCA
y = a -----------------(1)
Similarly, AD is parallel to BC and AC is the transversal.
The alternate angles,
∠DAC = ∠BCA
x = b -----------------(2)
Adding equations ( 1 ) and ( 2 ),
∠BAC + ∠DAC = ∠DCA + ∠BCA
∠BAD = ∠DCB
x + y = a + b
Similarly, we can prove, ∠ADC=∠ABC
Hence proved, opposite sites of a parallelogram are equal.
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f(x) = -7x - 1 f()= -8
f(x) = -7x - 1
f()= -8
-7x - 1 = -8
-7x - 1 + 1 = -8 + 1
-7x = -7
-7x/-7 = -7/-7
Answer all the questions for brainliest all info you need is in the photo please help asap
Total of 10 and $ total of $0.85. The place value denotes a word, whereas the total value denotes a figure. In mathematics, ten numbers are known as symbols or digits.
What is meant by Summation?The sum of the digit and its place value is the total value. Example 1: In the number 58439, what is the place value of digit 4? As a result, digit 4's place value is Hundreds. Market capitalization is the value of a company as determined by the stock market. It is defined as the sum of all outstanding shares' market values. Multiply the number of outstanding shares by the current market value of one share to calculate a company's market cap.
Therefore,
a # total of 10
a $ total of $0.85
· Since we have 2 unknowns, we need to set up a System of 2 Equations.
· A System of 2 Equations helps us solve a situation with 2 Unknowns.
Let's set up our 2 equations for # and $.
· For the # equation:
Let n = # of nickels
Let d = # of dimes
So, n + d = 10
· For the $ equation, we have to assign a "value" to each of the coins:
A nickel is worth 5 cents or $0.05
A dime is worth 10 cents or $0.10
· They told us we have 5 cents, a specific # of times + 10 cents, a certain # of times, that = $0.85
So, $0.05n + $0.10d
= $0.85
To solve this, we have to have just 1 unknown, meaning just 1 variable.
· We represent one of the variables in terms of the other. But, which one?
· Well, since they are asking for # of dimes, let's define a nickel in the duration of a dime.
· Let's apply this in the simpler # equation:
So, n + d = 10
becomes n = 10 - d
· So now, in our $ equation, we can just replace "n" with "10 - d", and then solve for d, which is the # of dimes!
$0.05n + $0.10d = $0.85
$0.05(10-d) + $0.10d = $0.85
$0.5 - $0.05d + $0.10d = $0.85
$0.50 + $0.05d = $0.85
$0.05d = $0.35
d = 7
Check this with the # equation:
n + d = 10
n + 7 = 10
n = 3
Does that make sense? Let's see:
3 nickels + 7 dimes = $0.85 ?
3($0.05) + 7($0.10) = $0.85
$0.15 + $0.70 = $0.85
$0.85 = $0.85
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Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 8 people took the trip. She was able to purchase coach tickets for $250
and first class tickets for $1250. She used her total budget for airfare for the trip, which was $8000. How many first class tickets did she buy? How many coach tickets did she buy?
Sarah buys 6 tickets for first class and 2 for coach class, finding by using properties of linear equation.
What is linear equation in one variable?
A linear equation which has only one variable is called linear equation in one variable.
Let assume,
Sarah has number of first-class tickets = x
then Sarah has number of coach tickets = 8-x
(Because total tickets she has are 8)
given that
The coach tickets price = $250
The first-class tickets price =$1250
so, from above
[tex]\begin{array}{l}1250 \mathrm{x}+250(8-\mathrm{x})=8000 \\1250 x+250(8)-250(x)=8000 \\1250 x+2000-250 x=8000 \\1250 x-250 x=8000-2000 \\1000 x=6000 \\x=\frac{6000}{1000} \\x=6\end{array}[/tex]
Therefore, Sarah buys 6 tickets for first class and 2 for coach class.
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how do you make someone the brainliest?
Answer: by eating there head off
Step-by-step explanation:
Rachael had an average score of 88 on 7 equally-weighted tests. Her teacher decided to drop the lowest test grade. Rachael's average forthe 6 remaining tests is now 91. What was Rachael's lowest test score before her teacher removed that score?
Let:
x = Rachael's lowest test score
y = average score of the other tests
Rachael had an average score of 88 on 7 equally-weighted tests. so:
[tex]88=\frac{x+y}{7}[/tex]Her teacher decided to drop the lowest test grade. Rachael's average for
the 6 remaining tests is now 91. so:
[tex]\begin{gathered} 91=\frac{y}{6} \\ so\colon \\ y=6\cdot91 \\ y=546 \end{gathered}[/tex]Replace the valuel of y into the first equation:
[tex]88=\frac{x+546}{7}[/tex]solve for x:
[tex]\begin{gathered} 88\cdot7=x+546 \\ 616=x+546 \\ x=616-546 \\ x=70 \end{gathered}[/tex]The frequency table shows the scores from rolling a dice.
Score
1
2
3
4
5
6
Work out the range.
Frequency
8
4
5
5
7
8
Answer:
I don't know
Step-by-step explanation:
There is none
On Monday, 473 students went on a trip to the zoo. All 8 buses were filled, and 9 students had to travel in
cars. How many students were in each bus?
Answer:
58.
Step-by-step explanation:
The number of students who travelled by bus = 473 - 9 = 464.
So, the number of students in each bus = 464/8
= 58.
PLEASE HELP I WILL GIVE BRAINLIEST TO WHOEVER IS CORRECT :)
Answer:
its c
Step-by-step explanation:
not sure how to explain it
The football team is selling raffle tickets to raise money for new uniforms. All raffle tickets are sold for the same price. They also receive a fixed amount of money as a donation to help for their cause. The equation shown below represents the amount of money raised from the raffle tickets and the donations
4.50+2500=2842
The solution to the equation above is x=76. What does the solution represent?
The solution to the equation 4.50x +2500 = 2842, x = 76 represents the number of raffle tickets sold.
What is an equation solution?An equation solution is a value that validates the mathematical statement claiming that two mathematical expressions have an equivalent or equal value.
Using the equation symbol (=), an equation establishes the equality of two expressions. When the unknown values are substituted by a value, the result is the equation solution.
4.50x +2500 = 2842
Subtract 2500 from both sides:
4.50x + 2500 - 2500 = 2842 - 2500
Simplify the equations:
4.50x = 342
Divide both sides by 4.50:
x = 76 (342/4.50)
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Question Completion:Amount of money raised from the raffle tickets and the donations = 4.50x +2500 = 2842.
Hey can somebody help me with this math homework you have to solve it step by step so can anybody help?
symkiiiussksznzznzznzbswwy
PLEASE HELP ME SOMEONE THAT'S GOOD WITH MATH? BC I CANT UNDERSTAND THIS QUESTION
Question 3
Let f(x) = 4^x and g(x) = 4^x + 1 - 3.
Which transformations are needed to transform the graph of f(x) to the graph of g(x)?
Select EACH correct answer.
A. Horizontal translation 1 units right.
B. Horizontal translation 3 units right.
C. Vertical translation 3 units down.
D. Vertical translation 1 unit down.
E. Horizontal translation 1 unit left.
F. Vertical translation 3 units up.
We can see that function g(x) is a translation of one unit to the left and 3 units downwards of f(x), thus, the correct options are:
C and E.
What transformations are applied to the function f(x)?Here we have the two functions:
f(x)
g(x) = 4^(x + 1) - 3
And we know that g(x) is a translation of f(x)
Remember that the translations works as follows:
Vertical translation of N units:
g(x) = f(x) + N
If N > 0, the translation is upwards.
If N < 0, the translation is downwards.
Horizontall translation of N units:
g(x) = f(x) + N
If N > 0, the translation is to the left
If N < 0, the translation is to the right.
In this case, we can write g(x) as:
g(x) = f(x + 1) - 3 = 4^(x + 1) - 3
So we will have a translation of one unit to the left and 3 units downwards.
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the edge of a cube was found to be 30 cm with a possible error in measurement of .1 cm. use differentials to estimate the percentage error (to the nearest hundredth) in computing (a) the volume of the cube and (b) the surface area of the cube.
a) The volume of the cube is 27,271 cubic centimeter
b) The surface area of the cube is 5,400
Well the edge is 30 cm +- 0.1 cm
Volume will be side cubed, so max estimate for volume is (30.1)^3, and minimum (29.9)^3
So percentage error = [(30.1)^3 - 30^3/ / 30^3 x 100 = 1,00 %
Surface area is 6 x side squared
So max estimate for area is 6 x 30.1^2,
minimum 6 x 29.9 ^ 2
So percentage error = (6 x 30.1^2 - 6 x 30^2) / (6 x 30^2) x 100 = 0.67 %
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5) Find the value of y.
(21y-1)
(4x+23) (9x-38)
The value of y in the expression (21y-1)=(4x+23)(9x-38) is (103x - 875)/21.
According to the given question
We have a linear equation in two variables
(21y - 1) = (4x + 23)(9x -38)
For finding the value of y solve the above equation by adding and subtracting the like terms.
So, 21y - 1 = 4x(9x -38) + 23 (9x -38)
⇒ 21y - 1 = 48x - 152x + 207x - 874
⇒ 21y - 1 = 103x - 874
⇒ 21y = 103x - 874 + 1
⇒ 21y = 103x - 875
⇒ y = [tex]\frac{103x - 875 }{21}[/tex]
Hence, the value of y in the expression (21y-1)=(4x+23)(9x-38) is [tex]\frac{103x - 875 }{21}[/tex]
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-4t=20 what does t equal
Answer:
divide -4 from 20 so t is -5
Step-by-step explanation:
Answer:
t=-5
Step-by-step explanation:
divide both sides by -4 now we have t=-5
f(x) = -8x + 20; 5 – 2[f(-1)]
The value of the function at the given value of x = -1 is 5 - 2[f(-1)] = -51
How to evaluate the function at the given value?The equation of the function is given as
f(x) = -8x + 20
The function to calculate is given as
5 - 2[f(-1)]
So, we start by calculating the value of the function at x = -1
This is represented as 'f(-1)
So, we have the following equation
f(-1) = -8(-1) + 20
Evaluate the product
So, we have the following equation
f(-1) = 8 + 20
Evaluate the sum
So, we have the following equation
f(-1) = 28
Substitute f(-1) = 28 in the expression 5 - 2[f(-1)]
So, we have
5 - 2[f(-1)] = 5 - 2 x 28
Evaluate the product
5 - 2[f(-1)] = 5 - 56
Evaluate the difference
5 - 2[f(-1)] = -51
Hence, the value is -51
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