Answer:
4.8
Step-by-step explanation:
24/5 = 4.8
A rational number is any whole number, fraction, finite decimal or repeating decimal. Therefore 4.8 = rational number.
A rational expression to represent the amount of juice in each cup is 24/5.
What is a fraction?A fraction is a part of the whole represented by a/b, where a and b are any integers.
Given, Kim divided 24 ounces of orange juice into 5 cups.
Therefore, the amount of juice in each cup is:
24/5
Hence, a rational expression to represent the amount of juice in each cup is 24/5.
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Estimate the value of negative square root of 150.
Answer:
-12.25
Step-by-step explanation:
Let's investigate what happens when negative values appear under the radical symbol (as the radicand) for cube roots and square roots.
In some situations, negative numbers under a radical symbol are OK. For example, radnegnew14is not a problem since (-2) • (-2) • (-2) = -8, making the answer -2. In cube root problems, it is possible to multiply a negative value times itself three times and get a negative answer.
Difficulties, however, develop when we look at a problem such as radnegnew214. This square root problem is asking for a number multiplied times itself that will give a product (answer) of -16. There simply is no way to multiply a number times itself and get a negative result. Consider: (4) • (4) = 16 and (-4) • (-4) = 16.
CUBE ROOTS:
radnn1
BUT
SQUARE ROOTS:
n2
Yes, (-2) x (-2) x (-2) = -8.
No problem.
Nope! (4) x (4) ≠ -16.
Nope! (-4) x (-4) ≠ -16.
bullet Square roots are the culprits! The difficulties arise when you encounter a negative value under a square root. It is not possible to square a value (multiply it times itself) and arrive at a negative value. So, what do we do?
statement
The square root of a negative number does not exist among the set of Real Numbers.
When problems with negatives under a square root first appeared, mathematicians thought that a solution did not exist. They saw equations such as x2 + 1 = 0, and wondered what the solution n3 really meant.
In an effort to address this problem, mathematicians "created" a new number, i, which was referred to as an "imaginary number", since it was not in the set of "Real Numbers". This new number was viewed with much skepticism. The imaginary number first appeared in print in the year 1545.
def The imaginary number "i" is the square root of negative one.
neg i
An imaginary number possesses the unique property that when squared, the result is negative.
irad1
Consider: irad2a
The process of simplifying a radical containing a negative factor is the same as normal radical simplification. The only difference is that the irad4 will be replaced with an "i ".
As research with imaginary numbers continued, it was discovered that they actually filled a gap in mathematics and served a useful purpose. Imaginary numbers are essential to the study of sciences such as electricity, quantum mechanics, vibration analysis, and cartography.
When the imaginary i was combined with the set of Real Numbers, the all encompassing set of Complex Numbers was formed.
R is in between P and S. PR = 15.5 mm, RS = 13.3 mm. Find PS
Answer:
28.8mm
hope this helped you
please mark as the brainliest (ㆁωㆁ)
Maya painted 3/4 of her art project in the morning and 1/8 of her project in the evening which equation can Maya use c to find how much of the project she painted
The equation to find the proportion painted is: [tex]\mathbf{c = \frac{7}{8}x}[/tex]
Let the size of the art be x.
In the morning, she paints 3/4 of x.
So, we have:
[tex]\mathbf{Morning = \frac 34 x}[/tex]
In the evening, she paints 1/8 of x.
So, we have:
[tex]\mathbf{Evening = \frac 18 x}[/tex]
So, the amount of project painted is:
[tex]\mathbf{c = Morning + Evening}[/tex]
This gives
[tex]\mathbf{c = \frac 34x + \frac 18x}[/tex]
Take LCM
[tex]\mathbf{c = \frac{6x + x}8}[/tex]
Add the numerator
[tex]\mathbf{c = \frac{7x}8}[/tex]
So, we have:
[tex]\mathbf{c = \frac{7}{8}x}[/tex]
Hence, the equation to find the proportion painted is: [tex]\mathbf{c = \frac{7}{8}x}[/tex]
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Find the length of AB if AB = x + 10, BC = x + 14, and AC = 32.
Answer:
14
Step-by-step explanation:
AB + BC = AC
[tex]x + 10 + x +14 = 32 \\ 2x = 8 \\ x = 4 \\ \\ [/tex]
AB = 4 + 10 = 14
Answer:
AB = 14Step-by-step explanation:
AB + BC = AC
x + 10 + x + 14 = 32
2x + 24 = 32
-24 -24
2x = 8
÷2 ÷2
x = 4
AB = x+10 = 4+10 = 14
what is y 5(y -10)=-5
Answer:
y=9
Step-by-step explanation:
5(y-10)=-5
We move all terms to the left:
5(y-10)-(-5)=0
We add all the numbers together, and all the variables
5(y-10)+5=0
We multiply parentheses
5y-50+5=0
We add all the numbers together, and all the variables
5y-45=0
We move all terms containing y to the left, all other terms to the right
5y=45
y=45/5
y=9
The value of y = 9 is correct. Therefore, the solution is y = 9.
To solve the equation 5(y - 10) = -5 for y, follow these steps:
Step 1: Distribute the 5 on the left side of the equation:
5y - 50 = -5
Step 2: Move the constant term to one side by adding 50 to both sides:
5y - 50 + 50 = -5 + 50
Step 3: Simplify the left side and evaluate the right side:
5y = 45
Step 4: Isolate y by dividing both sides by 5:
5y / 5 = 45 / 5
Step 5: Simplify and calculate y:
y = 9
The solution to the equation is y = 9. To verify, substitute y with 9 in the original equation:
5(9 - 10) = -5
5(-1) = -5
-5 = -5
Since both sides are equal, the value of y = 9 is correct. Therefore, the solution is y = 9.
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Constanza le hizo una caja de regalo a su papá. La medida de una de las aristas de la caja es de 15 cm. Si la caja tiene forma de un cubo. ¿Cuántos cm2 de papel de regalo deberá ocupar como mínimo para forrar la caja?
Answer:
Constanza ocupará, como mínimo, para forrar la caja:
1350 cm²
para forrar la caja
Step-by-step explanation:
En un cubo cada una de las aristas que lo conforman miden lo mismo.
Un cubo tiene 6 caras.
La formula del área del área de las 6 caras del cubo es:
área total del cubo = a = 6*arista²
en este caso:
a = 6*(15cm)²
a = 6 * 225 cm²
a = 1350 cm²
Answer:1350 cm²
Step-by-step explanation:idfk
Help?? PLSSSS NOWWWWW
In how many ways 5 people can sit on 5 chairs on a podium
Answer:
120 people
Step-by-step explanation:
The number of people as well as the number of chairs is 5
so that means there are exactly 120 ways in which they can be seated.
In a triangle the longest side is 3 inches longer than twice the shortest side. The third side is 2 inches less than twice the shortest side. If the perimeter of the triangle is 61 inches, which equation should be used to find the length of the shortest side, s?
Answer:
your face
Step-by-step explanation:
:)
Let's let A, B, C represent the sides of the triangle from shortest to longest, then:
A = ?
B = A + 2
C = A + 3
To find the perimeter we add all the sides p = A + B + C, and based on the problem
p = A + B + C
26 = A + (A + 2) + (A+3)
26 = 3A + 5
21 = 3A
7 = A
Now we can use the fact that A = 7 in, which is the shortest side, to find all three sides:
A = 7
B = 7 + 2 = 9
C = 7 + 3 = 10
The lengths of the sides are 7 in, 9 in, and 10 in.
May I get brainliest please? :)
Please somebody help I have to redo 11th grade if i dont complete.. brainliest if you can help :(
Answer:
see below
Step-by-step explanation:
Assuming that
Point A is the same as point X
Point B is Point Y
Point C is Point Z
So we have
[tex]X=(1,5)\\\\Y=(2,2)\\\\Z=(6,1)[/tex]
the rule for a rotation of 180° is
For 180 degrees, the rule is (a, b) --------> (-a, -b)
so we have
[tex]X'=(-1,-5)\\\\Y'=(-2,-2)\\\\Z'=(6,1)[/tex]
the rule for reflection across the x axis
(a,b)----->(a,-b)
so we have
[tex]X''=(1,-5)\\\\Y''=(2,-2)\\\\Z''=(6,-1)[/tex]
A scale on a blue print drawing of a house shows that 10 centimeters represents 2 meters. What number of actual meters are represented by 18 centimeters on the blue print?
Answer:3.6 m
Given:10cm=2m
Then, 5cm=1m
Therefore, (18/5)= lenght I'm meters on blueprint scale
(18/5)=3.6m
This table displays the height of water as a pool is being filled. A 2-column table with 4 rows. Column 1 is labeled Time (minutes) with entries 10, 11, 12, 13. Column 2 is labeled height (inches) with entries 3.75, 4.1, 4.45, 4.8. Arrows are drawn from each row to the next. Use the table to interpret the rate of change.
What is the change for each consecutive input?
What is the change for each consecutive output?
What is the rate of change for the relationship?
Answer:1. 0.35. 0.35
Step-by-step explanation:
I did the question on edgenuity
The change for each consecutive time given is: 1
The change of each consecutive height given is: 0.35
The rate of change for the relationship between time and height is: 0.35
The table that displays the height of water when a pool is being filled against time is shown in the image attached. (See attachment).
Recall:
Rate of change can be calculated as: change in output / change in input
Change in output = difference between consecutive outputs
Change in input = difference between consecutive inputs
In the question given,
Time is input
Height is output
Thus:
Change for each consecutive input (time):
13 - 12 = 12 - 11 = 11 - 10 = 1Therefore, the change of each consecutive input (time) is: 1
Change for each consecutive output (height):
4.8 - 4.45 = 4.45 - 4.1 = 4.1 - 3.75 = 0.35Therefore, the change of each consecutive output(height) is: 0.35
Rate of change of the relationship between time and height:
Rate of change = change in height / change in time
Rate of change = 0.35/1 = 0.35
In summary:
The change for each consecutive time given is: 1
The change of each consecutive height given is: 0.35
The rate of change for the relationship between time and height is: 0.35
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Convert 3/5 to a decimal.
A
0.6
B
1.5
C
0.3
D
15.0
Answer:
A 0.6
Step-by-step explanation:
What is the value of x?
20
35
60
70
Answer:
its 60. u gotta know this stuff man
to make chocolate milk, the lunch lady uses 4 cups of white milk for each cup of chocolate milk
Answer:
to make chocolate milk, the lunch lady uses 4 cups of white milk for each cup of chocolate milk
to make chocolate milk, the lunch lady uses 4 cups of white milk for each cup of chocolate milk
to make chocolate milk, the lunch lady uses 4 cups of white milk for each cup of chocolate milk
to make chocolate milk, the lunch lady uses 4 cups of white milk for each cup of chocolate milk
to make chocolate milk, the lunch lady uses 4 cups of white milk for each cup of chocolate milk
to make chocolate milk, the lunch lady uses 4 cups of white milk for each cup of chocolate milk
to make chocolate milk, the lunch lady uses 4 cups of white milk for each cup of chocolate milk
Step-by-step explanation:
how to do this question plz
Answer:
wouldnt it be like 4 times 7 = 28? or something like that???
Answer:
4 times 7 equals 28
Step-by-step explanation:
Plz choose mine as brainliest
Which of the following equations has a graph with a y-intercept of -8?
Ay=3x - 8
B. y = -8x + 3
C. 3x - 8y = -5
D. -8x + 3y = -5
The equation that has a graph with a y-intercept of -8 is y =3x - 8. The correct option is A. y =3x - 8
To determine which of the given equations has a graph with a y-intercept of -8.
We will compare the equations with the slope-intercept form of the equation of a straight line.
The slope-intercept form of the equation of a straight line is
y = mx + c
Where m is the gradient or slope
and c is the y-intercept
For A. y =3x - 8By comparing with y = mx + c
m = 3 and c = -8
∴ The y-intercept here is -8
For B. y = -8x + 3By comparing with y = mx + c
m = -8 and c = 3
∴ The y-intercept here is 3
For C. 3x - 8y = -5This can be written as
y = (3/8)x + 5/8
By comparing with y = mx + c
m = 3/8 and c = 5/8
∴ The y-intercept here is 5/8
D. -8x + 3y = -5This can be written as
y = (8/3)x - 5/3
By comparing with y = mx + c
m = 8/3 and c = - 5/3
∴ The y-intercept here is -5/3
Hence, the equation that has a graph with a y-intercept of -8 is y =3x - 8. The correct option is A. y =3x - 8
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Patricia is ordering t-shirts for her business. Company A charges $10.50 for each t-shirt and a one-time design fee of $45. Company B charges $12.50 for each t-shirt and a one-time design fee of $35.
Which inequality can be used to find x, the minimum number of t-shirts that can be ordered so that the total charge at Company A is less than the total charge at Company B?
10.5+45x>12.5+35x
10.5x+45>12.5x+35
10.5+45x<12.5+35x
10.5x+45<12.5x+35
ILL MAKE MOST BRAINLIEST PLS ANSWER!!!
Answer:
I think the answer would be the fourth answer or the second answer.
sorry if its not the correct answer.
Step-by-step explanation:
D; 10.5x + 45 < 12.5x + 35
We are told that;
Charges of Company A; $10.50 for each t-shirt plus one-time design fee of $45. If x is the minimum number of shirts ordered so that the charge at Company A is less than the total charge at Company B. Thus;C_a = 10.5x + 45
Similarly, we are told that;
Charges of Company B; $12.50 for each t-shirt plus one-time design fee of $35. If x is the minimum number of shirts ordered so that the charge at Company A is less than the total charge at Company B. Thus;C_b = 12.5x + 35
Since we want to make C_a < c_b
Then, we will have;
10.5x + 45 < 12.5x + 35
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Dan bought these items for
school: 2 pens at $0.75 each, 1
notebook at $1.99, a package of
pencils for 25 cents. How much
change would Dan get if he gave the
cashier a 5 dollar bill?
what is 1,016 rounded to the nearest thousand
Answer:
Step-by-step explanation:
1,000
Its the closest from 1000 to 2000
For his long distance phone service, Boris pays a $7 monthly fee plus 7 cents per minute. Last month, Boris's long distance bill was $17.45
For how many minutes was Boris billed?
I minutes
?
Answer is : 149 minutes
Answer:
149 minutes
Step-by-step explanation
Can someone please help me ASAP❤️
I need the answer to this question and it’s timed
Answer:
Ramesh is not correct; 7^-5 is 1/ 16807
Step-by-step explanation:
It cost Hudson $28.20 to send 188 text messages. How much would it cost to send 63 text messages? Good luck!
Answer: It would cost $9.45
$28.20/188= .15
then .15 times 63=9.45
- Naya had 48 tickets for games at the school carnival. She used 1/3 of her tickets to play the
spin-the-wheel game. She used 1/2of the remaining tickets to play a balloon game, where
she won 8 more tickets. How many tickets did Naya have after playing these two games?
Answer:
16
Step-by-step explanation:
48/3=16
16/2=8
8+8=16
W/-4 + 17=9. Solve for w what is w
Answer:
w=-32
Step-by-step explanation:
Answer: w=32
Step-by-step explanation:
Given
w/-4 + 17=9
Subtract 17 on both sides
w/-4 + 17 - 17=9-17
w/-4=-8
Multiply -4 on both sides
w/-4 × -4=-8×-4
w=3210) Select the relationship between each pair of quantities
that is not proportional.
A. A small pizza costs $9.00 and each additional topping cost
$0.75
B. A health club charges $45 per month.
C. A car travels 60 miles in 1 hour 120 in 2 hours and 180 miles
in 3 hours
D. A student earns $12 for each hour she tutors.
Answer:
A.
Step-by-step explanation:
Small pizza would have 12 toppings. Becuase $9.00 divided by 0.75 is 12. Meaning there would be 12 toppings on a small pizza.-E.A.
If the CI on a sum of money for 3 years at
the rate of 2% per annum is 306.04, then
what will be the SI?
Answer:
Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000The formula for calculating simple interest is:Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000The formula for calculating simple interest is:Simple Interest = Principal x Interest Rate x Term of the loanCompound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000The formula for calculating simple interest is:Simple Interest = Principal x Interest Rate x Term of the loan= P x i x nCompound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000The formula for calculating simple interest is:Simple Interest = Principal x Interest Rate x Term of the loan= P x i x nSimple Interest = 5000*0.02*3=300If CB=2x+5 and DE=10, find the value of x
Answer:
Step-by-step explanation:
2x + 5 = 10
2x = 5
x = 2.5
Susie starts her hike at 255 feet below sea level when she reaches the end of the hike she is still below sea level at -178 feet what was the change in elevation from the beginning of Susie’s hike to the end of the hike
Answer:
98 was the change in elevation
Step-by-step explanation: