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Related Questions
At the end of a party, 3/4 cup of dip is left. Jim divides 4/5 of the leftover dip equally between 2 friends. How much dip does each friend get?
Answers
We know that it is 4/5 of the left dip
therefore:
amount divided among the two friends = (4/5) x (3/4) = 3/5 of the original amount of dip.
This amount is divided among two friends,
therefore:
amount that each friend gets = (3/5) / (2) = 3/10 = 0.3 of the amount of dip
To answer the question, first, multiply the total leftover dip by the portion that Jim divided. Then, divide this result by the number of friends. Therefore, each friend gets 3/10 of a cup of dip.
Explanation:The subject of this question clearly falls under the category of Mathematics, more specifically, the concept of fractions. The problem here is to find out how much dip each friend gets if 4/5 of the 3/4 cup of leftover dip is divided equally between two friends.
To solve this, we need to perform multiplication of fractions, and then division by the number of friends. Step 1: Multiply 3/4 (leftover dip) by 4/5 (portion that Jim divided). Doing this, we get (3/4) * (4/5) = 12/20, which simplifies to 3/5 cup. This is the amount of dip Jim divided.
Step 2: Divide this result by 2 (number of friends). So, (3/5) / 2 = 3/10. Hence, each friend gets 3/10 of a cup of dip.
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23,569 pennies rounded to nearest ten thousands
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since the thousands place is a 3 which is lower than a 5
it would be rounded to 20,000
Answer:
Nearest ten thousands 20000,
Step-by-step explanation:
Given :23,569
To find : Rounded to the nearest ten thousands
Solution: We have given that 23,569
We can write it as 23,569
Step 1 : Identify the ten thousands digit 2 in 23,569
Step 2: Identify the next smallest place value 3 in 23,569
Step 2: We can the digit less than five, so it would be rounded down
Step 3 : The ten thousands remain same and Every digit after becomes a zero.
Step 4 : Number become 20000.
Therefore, nearest ten thousands 20000,
What is -7 5/12 written as a decimal
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hope this helps
The rectangles in the figure below are similar. Find the value of x
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5x = 3(x+4)
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 6
answer
C. 6
Answer:
C. 6
Step-by-step explanation:
It is given that the rectangles in the figure are similar.
Thus, the corresponding sides of the two rectangles will be equal.
So, we get,
[tex]\frac{3}{x}=\frac{5}{x+4}[/tex]
i.e. [tex]3(x+4)=5x[/tex]
i.e. [tex]3x+12=5x[/tex]
i.e. [tex]2x=12[/tex]
i.e. x = 6.
Hence, the value of x is 6.
Convert 10 centimeter to inches
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Complex numbers are often used when dealing with alternating current (AC) circuits. In the equation V = IZ, V is voltage, I is current, and Z is a value known as impedance. If V = 1+i and Z=2-i, find I. Please do this quickly!!
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Final answer:
The current I in the AC circuit equation V = IZ is found by complex division and is equal to 1/5 + 3/5i when V = 1+i and Z=2-i.
Explanation:
To find the current I in the equation V = IZ where V = 1+i and Z=2-i, we need to solve for I using complex division. This process involves conjugating the denominator and then performing standard multiplication of complex numbers.
Step-by-step solution:
Write down the given values in the equation: V = 1+i, Z = 2-i.Use the formula I = V / Z.Conjugate the denominator Z, which gives 2+i.Multiply the numerator and denominator by the conjugate of the denominator:So, I = (1+i) * (2+i) / ((2-i) * (2+i)).Simplify both numerator and denominator: numerator becomes 2 + 3i + i^2, and the denominator becomes 4 - i^2.Substitute i^2 with -1 and simplify: numerator becomes 2+3i-1, and the denominator becomes 4+1.The final result is I = (1+3i) / 5.Divide both the real and imaginary parts by 5: I = 1/5 + 3/5i.Therefore, the current I is 1/5 + 3/5i.
What is the remainder of 21 divided by 4
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5 × 4 = 20
21 - 20 = 1
If you keep going despite the remainder, you will get 5 1/4. However, you need not do this if you only want the remainder.
1 is the remainder of 21 divided by 4
What is Division?A division is a process of splitting a specific amount into equal parts.
The number which is getting divided here is called the dividend.
21 is the dividend.
The number which divides a given number is the divisor.
4 is the divisor
And the number which we get as a result is known as the quotient.
The divisor which does not divide a number completely produces a number, which is referred to as remainder.
21 ÷ 4 = 5 with a remainder of 1.
Hence, 1 is the remainder of 21 divided by 4
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Suppose that alexi spent all 20 hours of his time on street tacos and tony spent 17 hours on cuban sandwiches and 3 hours on street tacos. combined they would produce a total of ______________ tacos and ______________ cuban sandwiches.
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Suppose that alexi spent all 20 hours of his time on street tacos, he will make a total of 20 x 80 = 1,600 street tacos and tony spent 17 hours on cuban sandwiches and 3 hours on street tacos, he will make a total of 17 x 30 = 510 cuban sandwiches and a total of 3 x 100 = 300 street tacos.
Combined they would produce a total of 1,600 + 300 = 1,900 street tacos and 510 cuban sandwiches.
Answer: 1,900 street tacos and 510 Cuban sandwiches.
Explanation:
Alexi=20*80=1,600
Tony = 17*30=510 3x00 = 300 street tacos
1,600 + 300 = 1,900 street tacos and 510 Cuban sandwiches.
Josiah went to the local barber to get his hair cut. It cost $18 for the haircut. Josiah tipped the barber 15%. What was the total cost of the haircut including the tip
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The total cost of the haircut including the tip is $20.70. 18*15%=2.70+18=20.7.
Hope this helps:)
Answer:
$20.70
Step-by-step explanation:
Turn the % to a decimal.
15%= 15/100 = 0.15
Multiply the total and decimal.
18.00 x 0.15
= 2.70
Add the total to the sum.
18.00 + 2.70
= 20.70
(hope it helped please vote and say thanks <3)
5.14 grater than 5.041
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Hope this helps!
The skeleton of acetonitrile is shown here. complete the structure
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|||
C
|
H----- C -----H
|
H
This is how the skeleton of acetonitrile looks like with its bonds and nonbonding electrons.
Acetonitrile is a chemical compound that is a byproduct of acrylonitrile manufacture. Its molecular formula is CH₃CN or C₂H₃N. It is said to be the simplest organic nitrile and it is a colorless liquid.
you build four scale models of the Empire State Building. The smallest model is 3 centimeters tall. The height of each model is three times the height of the previous model.Write a power to represent the height of the tallest model.Then find the height.
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I hope this helps! :>
The height of the tallest model is 81 cm and the model is [tex]y ( x ) = 3^x[/tex].
Given data:
Let x be the height of the tallest model.
According to the information given, the height of each model is three times the height of the previous model.
So, represent the heights of the models as and exponential model where [tex]y ( x ) = 3^x[/tex].
1st model: 3 centimeters (3 cm)
2nd model: 3 times the height of the 1st model = 3 * 3 cm = 9 centimeters (9 cm)
3rd model: 3 times the height of the 2nd model = 3 * 9 cm = 27 centimeters (27 cm)
4th model: 3 times the height of the 3rd model = 3 * 27 cm = 81 centimeters (81 cm)
So, the height of the tallest model can be represented as:
x = 81 centimeters
Hence, the height of the tallest model is 81 centimeters.
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Which shows the first step in the solution to the equation log2x + log2(x – 6) = 4?
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Answer:
The first steps in the solution to the equation [tex]\log_2 x + \log_2 (x-6) = 4[/tex] is, [tex]\log_2 x(x-6) = 4[/tex]
Step-by-step explanation:
Given the equation: [tex]\log_2 x + \log_2 (x-6) = 4[/tex]
Using logarithmic laws;
[tex]loa_b x + \log_b y = \log_b (xy)[/tex]
then;
[tex]\log_2 x(x-6) = 4[/tex]
Therefore, the first steps in the solution to the equation [tex]\log_2 x + \log_2 (x-6) = 4[/tex] is, [tex]\log_2 x(x-6) = 4[/tex]
Answer: log2(x(x-6))=4.
Step-by-step explanation:
All the digits are odd. The last two digits add to make ten. The first and last digits add to make eight. The first two digits add to make twelve. What is the number?
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The number that fits all the given criteria is 3955, where all digits are odd, the last two add to 10, the first and last to 8, and the first two to 12.
To find a number where all digits are odd, the last two digits add up to make ten, the first and last digits add up to eight, and the first two digits add up to twelve, we can use a process of elimination and reasoning.
The last two digits must be 5 and 5 because these are the only odd digits that add up to 10.The first and last digit must be 3 and 5 respectively because these add up to 8.Since the first digit is 3 and we need the first two digits to add to 12, the second digit has to be 9.Therefore, the number is 3955.
Graph the function -2x+5y=10
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the reason we call it linear, is that all solutions (x, y) to this equation, when plotted in the x-y axis, form a line.
To draw this line, 2 points are enough, that is 2 solutions (x, y) of the equation.
-------------------------------------------------------------------------------------------------
-2x+5y-10=0 is a linear equation (a=-2, b=5, c=-10)
to find 2 solutions, we set x or y any value we want, and solve for the other
for example:
let x=0,
then
-2x+5y-10=0 becomes 5y-10=0, so y=2
this gives us the solution (0, 2)
another example; set y=0
then -2x+5y-10=0 becomes -2x-10=0; -2x=10 so x=-5
thus another solution is (-5, 0)
Draw these 2 points, and join them with a line, as shown in the figure.
Graph the solution of this inequality 4\9x -10>x\3-12
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Answer:
I'm terrible at explaining so here's a ss
- Ripper
Step-by-step explanation:
Use addition to solve the linear system of equations. 2x+y=5 3x+2y=4
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3x+2y=4 -------- eq2
now, multiply eq1 with -2
-2(2x+y=5)
== -4x-2y=-10-----------eq 3
Add eq2 and eq3,
(3x+2x)+(-4x-2y)= 4+(10)
3x+2y - 4x-2y = -6
Cancel +2y and -2y we get,
3x-4x=-6
-x=-6
therefore, x=6
Substitute value of x in eq1, 2x+y=52(6) + y=52(6) + y=512+y=5
y=5-12=-7
x=6 and y=-7y
Solve for a 6(a+3)=18+6a
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(6a + 18 = 18 + 6a)
Cancel 6a on both sides
(18 = 18)
Since both sides are equal, there are infinitely many solutions.
The equation 6(a+3) = 18+6a is an identity after canceling out like terms on both sides, which implies that the solution for 'a' is all real numbers.
To solve for a in the equation 6(a+3) = 18+6a, we begin by expanding the left side of the equation:
6a + 18 = 18 + 6a
We notice that there are terms on both sides of the equation that can be cancelled out. The 6a on the left side can be subtracted from both sides, as well as the constant 18.
After cancelling out these terms, we are left with:
0 = 0
This equation suggests that the original equation is an identity, meaning that the value of a can be any real number, as the original equation holds true for all values of a.
3 (4g + 6) = 2 (6g + 9)
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3 ( 4g + 6 ) = 2 ( 6 g + 9 )
12g + 18 = 12g + 18
12g - 12g = 18 - 18
g = 0
Hope this helps! :)
solve
P=a+b-8
what is a=
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Then change the signs of both sides of the equation
A= -b+8+p
The simplified expression e2t + 2 + e−2t inside the radical can be re-written as
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The expression [tex]e^{2t} + 2 + e^{-2t[/tex] is a quadratic equation in terms of exponentials. Without additional information, simplification beyond this stage is not generally feasible. This concept is a typical part of high school algebra, with applications in several fields.
Explanation:The provided expression [tex]e2t + 2 + e-2t[/tex] belongs to a class of mathematical problems often seen in high school algebra. It involves exponentials, which introduces the concept of exponential functions.
The expression is in a form of a quadratic equation in terms of exponentials, which can be solved via appropriate methods such as factoring, quadratic formula, or completing the square. However, without additional information or context like an equation being set to zero, simplification beyond this stage is not generally feasible. Exponential functions often have applications in fields like physics, economics, and engineering, especially in phenomena that exhibit growth or decay properties.
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Marcella divided 40.8 gallons of paint among 8 containers. How much paint is in each container
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divide the total gallons by the number of containers
40.8 / 8 = 5.1 gallons each
40.8/8= 5.1
Check:
5.1 x 8= 40.8
Hoped I helped!Dawn
For the straight line defined by the points (3, 59) and (5, 87), determine the slope and y-intercept. do not round the answers.
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slope = (87 - 59) / (5 - 3) = 28/2 = 14 <== ur slope
y = mx + b
slope(m) = 14
use either of ur points...(3,59)...x = 3 and y = 59
now we sub and find b, the y int
59 = 14(3) + b
59 = 42 + b
59 - 42 = b
17 = b <=== ur y int (0,17)
The slope of the given line is 14 and y intercept is 17.
What is the equation of a line ?The equation of a line is y = mx + b.Where m is slope and b is y intercept.
According to the given question a straight line defined by the points (3, 59) and (5, 87).
We know slope (m) = (y₂ -y₁)/(x₂ - x₁)
∴ m = (87 - 59)/(5 - 3)
m = 28/2
m = 14.
Now the equation of the line will be of the form y = 14x + b.
Now we will put any of the values of the given pair of points.
∴ 59 = 14(3) + b
b = 59 - 42
b = 17.
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A square kitchen floor has an area of 123 square feet estimate the length of one wall to the nearest tenth of a foot
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123ft²=side^2
square root both sides
estimate
hmm
12²=144
11²=121
so somewhere above 11 but below 12
so like 11.1 (it's 11.09 so rounded it is 11.1)
11.1ft
area of a square = S^2
S^2 = 123
S = sqrt(123)
S = 11.0905
rounded to nearest tenth = 11.1 feet
Tim walked 16 laps in 40 minutes while jim walked 30 laps in an hour who was the fastest?
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now, then we can just multiply each fraction by the "other's denominator" to get a common denominator for both.
[tex]\bf \stackrel{Tim}{\cfrac{16}{40}}\implies \cfrac{2}{5}\qquad \qquad \stackrel{Jim}{\cfrac{30}{60}}\implies \cfrac{1}{2}\\\\ -------------------------------\\\\ \cfrac{2}{5}\cdot \cfrac{2}{2}\implies \boxed{\cfrac{4}{10}}\qquad \qquad \cfrac{1}{2}\cdot \cfrac{5}{5}\implies \boxed{\cfrac{5}{10}}[/tex]
the fastest is the one who did more laps per the same minutes, Tim did 4 in 10 minutes, whilst Jim did 5 in the same 10 minutes.
pls help i need this done NOW!!!
#14 and #15 a. and b.
pls show work!!
Answers
hope this helps :)
Answer:
Step-by-step explanation:
To me, it seems like 14 is just telling u something.....and 15. a)30% b)75%
hope this helps :)
if a flagpole 12 feet tall casts a shadow that is 16 feet long, find the length of the shadow cast by an antenna which is 30 ft tall. round to the nearest tenth if necessary
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How do u write 1.2 as a fraction
Answers
for the decimal component, 0.2 is the same as 2/10
Find the GCF of both 2 and 10 and that would be 2
divide both the numerator and denominator by the GCF
simplify and you get 1/5
Lastly combine the whole number component with the fraction and your answer would be 1 1/5.
what is the length of line segment AY?
2 units
3 units
4 units
6 units
Answers
Answer:
Option C. 4 Units
Step-by-step explanation:
From the intersecting chords theorem we know that if two chords are intersecting each other in a circle then the products of the lengths of the line segments of each chord are equal.
Therefore AY.YC =YB.YD
Here AY = x, BY = 3, YC = 6, YD = 8
So x.6 = 3.8
6x = 24
x = 24/6 = 4 Units
Option C 4 units is the correct option.
solve the following formula for x
y=2mx+9b
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To solve the equation y = 2mx + 9b for x, subtract 9b from both sides, and then divide by 2m. The result is x = (y - 9b) / (2m). This manipulation is emblematic of solving linear equations which are foundational in algebra.
The student is asking to solve the linear equation y = 2mx + 9b for the variable x. This type of problem involves algebraic manipulation to isolate the variable of interest. Here are the steps to solve for x:
Subtract 9b from both sides of the equation: y - 9b = 2mx.Divide both sides by 2m to solve for x: x = (y - 9b) / (2m).In this case, y is the dependent variable, m is the slope of the line, and b would be the y-intercept if this equation were graphed on a coordinate plane. To better understand this concept, let's take the specific equation y = 9 + 3x as an example which is a linear equation with b set to 9 and m set to 3.
To visualize this equation, one can construct a table of values by selecting various x values and calculating the corresponding y values. Then, these points are plotted on a graph to show the linear relationship. This process is depicted in Table A1 and Figure A1, with the equation illustrated in a graph.
The general form of a linear equation is y = mx + b, where m represents the slope and b the y-intercept. In these exercises, understanding and manipulating this form helps us find relationships between variables and understand how changes in one variable affect another.