Answer:
⅓litres
Step-by-step explanation:
1²/5+1³/5 =(1+1)+(²/5+³/5)
=2+ 1 = 3
3÷9=³/9.
simplify. ³/9= ⅓
Kelly pours 1/3 liter of fruit punch into each glass at a party for her chess team.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
For example 4/2 = 2
She combined 1 2/5 liters of cranberry juice and 1 3/5 liters of pineapple juice which are given in the question.
As per the above situation, the required solution would be
⇒ 1 2/5 + 1 3/5
Convert mixed numbers to fractions,
⇒ 7/5 + 8/5
Take the LCM in the above equation,
⇒ (7 + 8)/5
⇒ 15/5
⇒ 3
Then, she split the fruit punch evenly among 9 glasses.
Now, we have to divide 3 liters of fruit punch into 9 glasses
So 3/9 = 1/3 liters of fruit punch
Therefore, she pours 1/3 liter of fruit punch into each glass.
To learn more about the division operation click here :
brainly.com/question/25870256
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how do you solve this problem ? 4(-3x+1)-3x=71
Answer:
x = -67/15 = -4-46667
Step-by-step explanation:
4(-3x+1) - 3x = 71
4*-3x + 4*1 - 3x = 71
-12x + 4 - 3x = 71
-15x = 71-4
-15x = 67
x = 67/-15
x = -4.46667
check:
4(-3*-4.46667 + 1) - 3*-4.4666= 71
4(13.4+1) + 13.4 = 71
4*14.4 + 13.4 = 71
57.6 + 13.4 = 71
the sum of n and the sum of 8 and 6"
Answer:
Its 14
Step-by-step explanation:
8+6=14
Answer:
The answer is 16
08
+ 06
----------
16
Hope it helps ;)
Please mark as brainliest
An_ is the set of numbers that include negative numbers
and the subset of_ numbers (...-3, -2, -1, 0, 1, 2, 3...). Also
described as positive numbers and their opposites and zero.
Blank 1:
Blank 2:
Answer:
Integer, rational
Step-by-step explanation:
An integer is normally described as a positive and their opposites and zero. The explaination for blank 2 is a rational number because a rational number can also be an integer and a whole number. Hope this helps!
Answer:
Step-by-step explanation:
The answer is integer. Integer are whole numbers that are either positive or negative including 0.
Solve for b.
ab+c=d
b=a+c/d
b= a/(c-d)
b = (d - c)/a
Answer:
[tex]b = \frac{(d-c)}{a}[/tex]
Step-by-step explanation:
ab + c = d
Subtract c from both sides
ab + c - c = d -c
ab = d - c
Divide both sides by 'a'
[tex]\frac{ab}{a}=\frac{d-c}{a}\\\\b = \frac{(d-c)}{a}[/tex]
Answer:
b = (d - c)/a
Step-by-step explanation:
just took this test
Find the volume (in terms of pi) of a sphere if it’s surface area is 100 pi ft2. PLEASE HELP ME
Hey there! I'm happy to help!
to find the volume of a sphere, you cube the radius, multiply it by 4/3, and then multiply it by π.
First, we have to find the radius. To find the surface area you square the radius and multiply it by 4 and then π.
Let's do that formula backwards on our surface area to find the radius.
We divide by π
100÷π=100
We divide by 4.
100÷4=25
We find the square root.
√25=5
Now, we use our radius in the volume formula.
5³=125
125×4/3=500/3
We multiply by π.
500/3π
Therefore, the volume of a sphere if its surface area is 100π ft² is 500/3π ft³.
Have a wonderful day! :D
Answer:
V=166.66[tex]\pi[/tex] ft³
Step-by-step explanation:
The surface area of a sphere is 4[tex]\pi[/tex]r²
100[tex]\pi[/tex]=4
100[tex]\pi[/tex]/4
25=r²
r=5
Now that we know the radius is 5, we can find the volume.
v=4/3[tex]\pi[/tex](5)³
v=(5*5*5*4)/3*[tex]\pi[/tex]
V=166.66[tex]\pi[/tex]
if the Diameter of a cicle is 28cm calculate the perimeter
Answer:
Simple. 28pi
// pi is [tex]\pi[/tex].
Which is 88.0 by rounding tenth
Step-by-step explanation:
Please pick me brainliest.
Hope it helps!
Answer:
88 cm
Step-by-step explanation:
Perimeter = πd
= (22/7)× 28
= 88 cm
Question 6(Multiple Choice Worth 1 points) (06.01 LC) Choose the correct classification of 5x + 2x2 − 8 by number of terms and by degree. A.Third degree polynomial B.Fourth degree trinomial C.Second degree trinomial D.Sixth degree polynomial
Question 7: Choose the correct simplification of the expression (3x − 6)(2x2 − 4x − 5)
Answer:
C) 6x³ - 24x² + 9x + 30
Step-by-step explanation:
(3x - 6)(2x² - 4x - 5)
3x • 2x² = 6x³
3x • -4x = -12x²
3x • -5 = -15x
-6 • 2x² = -12x²
-6 • -4x = 24x
-6 • -5 = 30
Combine terms.
6x³ - 12x² - 15x - 12x² + 24x + 30
Combine like terms.
6x³ - 24x² + 9x + 30
Learn with another example:
https://brainly.com/question/28001380
If a^b= b^a and a = 2b then find the value of a^2+b^2
a) 20
b) 30
c) 28
d) 24
Answer:
[tex]\large \boxed{\sf \bf \ \ a^2+b^2=20 \ \ }[/tex]
Step-by-step explanation:
Hello, please consider the following.
[tex]a^b=b^a\\\\\text{ We can replace a by 2b.}\\\\(2b)^b=2^b\cdot b^b=b^{2a}=b^2\cdot b^b\\\\\text{ Let's assume that b is different from 0 and we can divide by }b^b \\ \\ \text{ both sides of the equation, and it come.}\\\\2^b=b^2\\\\\text{ We find b = 2 and then a = 4, So}\\\\a^2+b^2=4^2+2^2=16+4=20[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
How many equations are thereof: 70 divided by h equals 10?
What are those equations?
Answer:
We have:
"70 divided by h equals 10"
We can write it in only one equation:
70/h = 10.
This is a rational equation because our variable is in the denominator of a quotient.
To solve it we can multiply by h on both sides of the equation and get:
(70/h)*h = 10*h
70 = 10*h
now we divide both sides by 10.
70/10 = (10*h)/10
7 = h.
4. The rental for a television set changed from $80 per year to $8 per month
What is the percentage increase in the yearly rental?
Answer:
16%
Step-by-step explanation:
rental charge per year = $80
rental charge at the rate $8 per year = 8 * 12 = 96
the increased amount = 96 - 80 = 16
% = 16 / 100 = 16%
PLEASE HELP!! what is the equation of a line that is perpendicular to y = 2x + 4 and passes through the point (4, 6)?
Answer:
The answer is B)
[tex]y = - \frac{1}{2}x + 8[/tex]
Answer:
B. y = -[tex]\frac{1}{2}[/tex]x + 8
Step-by-step explanation:
The line is perpendicular to line whose equation is:
y = 2x + 4 and;
passes through point (4,6) .
The product slopes of two perpendicular lines is -1.
The slope of the line whose equation is y = 2x + 4 is; 2
Let the slope of the perpendicular line (l2) be [tex]m_{l2}[/tex]
[tex]m_{l2} * 2 = -1[/tex]
[tex]m_{l2}[/tex] = [tex]-\frac{1}{2}[/tex]
Taking another point xy on line l2;
[tex]\frac{y - 6}{x - 4} = -\frac{1}{2}[/tex]
Cross multiplying this gives;
y = -[tex]\frac{1}{2}[/tex]x + 8 which is the equation of the perpendicular line!
The angle \theta_1θ 1 theta, start subscript, 1, end subscript is located in Quadrant \text{I}Istart text, I, end text, and \sin(\theta_1)=\dfrac{1}{2}sin(θ 1 )= 2 1 sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 1, divided by, 2, end fraction . What is the value of \cos(\theta_1)cos(θ 1 )cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis?
Answer:
√3/2Step-by-step explanation:
Given an angle θ₁ located on in the first quadrant and sinθ₁ = 1/2, we are required to calculate the value of cosθ₁.
Firstly, we need to find the value of the angle θ₁ from the expression sinθ₁ = 1/2.
Given sinθ₁ = 1/2
Take the arcsin of both sides
arcsin(sinθ₁) = arcsin(1/2)
The arcsin will cancel out the sin at the left hand side to have only θ₁. Hence;
θ₁ = arcsin(1/2)
Using the calculator, θ₁ = 30°
Since we are to find the value of cosθ₁
cosθ₁ = cos30°
cos30° = √3/2
Hence the value of cosθ₁ is √3/2
Answer:
60/61
Step-by-step explanation:
60/61
khan. #gayrights
What’s the value of X
Answer:
Step-by-step explanation:
Use the Law of Sines for this. Set it up as follows:
[tex]\frac{sin(x)}{6}=\frac{sin(61)}{6.2}[/tex] Cross multiply:
6.2sin(x) = 6sin(61) and solve for the term with the unknown in it:
[tex]sin(x)=\frac{6sin(61)}{6.2}[/tex]
Work on the right side first. Plug that into your calculator to get
sin(x) = .8464061682
Now the problem comes down to "what angle has a sine of .8464061682?" This requires the use of the inverse button on your calculator. Hit 2nd, then sin, and you will see on your screen:
[tex]sin^{-1}([/tex]
After that open parenthesis enter that big long decimal and hit equals. You should get an angle measure of 57.822 degrees. Not sure what you are rounding to.
The weight of a box varies directly as the volume of the box. If a 138-pound box has a volume of 23 gallons, what is the weight of a box that has a volume of 25 gallons? A. 31 pounds B. 150 pounds C. 138 pounds D. 29 pounds
Answer:
150 pounds
the weight is directly proportional to the volume. hence:
138/23 = 6
now, 25*6 = 150
Answer:
B. 150 pounds
Step-by-step explanation:
Five less than the product of a number and 6
A. 5-6n
B. 6(n-5)
C. 6n-5
D. 6(5-n)
Answer:
C. 6n - 5
Step-by-step explanation:
Hello!
A product of a number and 6 means we have to multiply a number by 6.
This can be shown by 6n.
Then 5 less means we subtract by 5.
We get the answer: 6n - 5
Hope this Helps!
Answer:
B) 6(n-5)
Step-by-step explanation:
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∠4 and ∠6 can be classified as:
Answer:
same side interior angles
Step-by-step explanation:
<4 and <6 are same side interior angles
Same side interior angles are on the same side of the transversal and inbetween the two lines
Mr Lim, Mr Tan and Mr Chan have $8650 altogether. Mr Lim has $450 more than Mr Tan. Mr Chan has twice as much money as Mr Tan. How much money does Mr Lim have?
Answer:
Mr. Lim will have $2500
Step-by-step explanation:
Given:
The total amount of money which Mr. Lim, Mr. Tan and Mr. Chan is $8650;
Mr. Lim has $450 more than what Mr. Tan has;
Mr. Chan has double the amount of money than what Mr. Tan has.
Therefore, if we assume that the amount of money Mr. Tan has as x, then...
Total money = Mr. Tan + Mr. Lim + Mr. Chan
therefore,
8650 = x + (x + 450) + 2x
8650 = x + 2x + x + 450
8650 = 4x + 450
8650 - 450 = 4x
8200 = 4x
8200/4 = x
2050 = x
As we assumed earlier, x will be equal to the amount of money Mr. Tan has and the question is asking us how much money Mr. Lim has. To find this out, you have to add $450 to the amount of money Mr. Tan has which is $2050. This is because the question also gives us that Mr. Lim has $450 more that Mr. Tan.
I hope this helped you :)
Katherine's class is selling raffle tickets for $3 to raise money for charity. Katherine's class raised $504. Which equation would you use to find the number of tickets sold?
Hey there! I'm happy to help!
Let's represent each ticket with the variable t. For each ticket sold, there will be 3 dollars added to the total. So, if you multiply the number of tickets by 3, you will have your total.
This gives us the following equation.
3t=504
We could use this equation to find the number of tickets sold by dividing both sides of it by 3, which isolates the t, showing us that t=168.
Have a wonderful day!
Answer:
$504 / $3 = t
Step-by-step explanation:
t = total tickets sold
If each ticket cost $3 and the class raised $504, just divide the total amount by the cost.
I hope this helps you! Please tell me if I am wrong!
PLEASE help me solve this question! No nonsense answers, and attach full solutions please!
Answer:
6.4 seconds
Step-by-step explanation:
Using the second equation of motion.
d= 200m/s.
a= 9.8ms^-1 . Acceleration due to gravity.
t= time.
substituting,
t=
[tex] \sqrt{2 \times \frac{200}{9.8} } [/tex]
t= 6.4 seconds
Write an equation in slope-intercept form for the line the road will follow. (The road is the dashed line.)
Answer:
x=6
Step-by-step explanation:
The crocodile river is y = 4
The road will intersect at ( 6,4)
We have two points on the line
(6,7) and (6,4)
The slope is
m = (y2-y1)/(x2-x1)
= (4-7)/ (6-6)
= -3/0
The slope is undefined
That means the equation is in the form
x=
Since the x coordinate is 6
x=6
Anyone know the answer to this... Thanks
Answer:
coefficients are the number attached to the variables :75d+8w+25
75 , 8 and the constant is 25. the variables are d and w
if he works for 5 days(d) and installed 48 windows(w)
75 d + 8 w+25
75(5)+8(48)+25= 784 dollars
if Javier get increase of 40 dollars for snack, only the constant change, because the coefficient depends on work days and the number of windows installed, and since only the increase in his stipend, therefor the increase will be the constant value only.
What is the volume of the composite figure?
Answers:
192ft^3
96ft^3
76ft^3
152ft^3
Answer:
68 ft³
Step-by-step explanation:
Take the above figure to be 2 rectangular prism. A smaller prism on top, and a bigger one under.
Volume of the smaller rectangular prism on top:
[tex] Volume = whl [/tex]
Where,
w = 2 ft
h = 4 ft
l = 4 ft
[tex] Volume = 2*4*4 = 32 ft^3 [/tex]
Volume of bigger Rectangle prism under:
w = 2 ft
h = 3 ft
l = 6 ft
[tex] Volume = 2*3*6 = 36 ft^3 [/tex]
Volume of composite figure = 32 + 36 = 68 ft³
Answer:
Step-by-step explanation:
The correct answer is 76
Big prism: 4x8x2=64
What's Left: (6-4)x2x3=12
64+12=76
Please help I did the first 2
Answer:
x = 1.5
Step-by-step explanation:
6 - 2x = 3
→ Minus 6 from both sides to isolate -2x
-2x = -3
→ Divide -2 from both sides to isolate x
x = 1.5
expand (x-4)^4 with binomial theorem or pascal's triangle
Answer:
(x-4)^4=x⁴+4x³(-4)¹+6x²(-4)²+4x¹(-4)³+(-4)⁴
=x⁴-16x³+96x²-256x+256
Find the point-slope equation for
the line that passes through the
points (7,-21) and (-4,23). Use
the first point in your equation.
y +[? ] = [ ](x + [ ])
Answer:
y+(21)=-4(x-7)
Step-by-step explanation:
the point slope equation , two point
m=y2-y1/x2-x1
m=23+21/-4-7=44/-11= -4
y+(21)=-4(x-7)
Please help me on this question
Answer:
you need to add 11 red circles
Step-by-step explanation:
1:3 one red and three blues
r=12 b=3
r:b =12:3
12:3 is the same as 4:1
you have to add 11 red circles
7x²-2-3x²
I’m trying to combine like terms
Answer:
4x^2−2
Step-by-step explanation:
Let's simplify step-by-step.
7x^2−2−3x^2
=7x^2+(−2)+(−3x^2)
Combine Like Terms:
=7x^2(+−2)+(−3x^2)
=(7x^2+(−3x^2))+(−2)
=4x^2+−2
Answer:
=4x2−2
Consider the functions below. Which of the following statements describes the graph of function g? f(x)=x g(x)=1/5x A.The graph of g is one-fifth of a unit to the left of the graph of f. B. The graph of g is one-fifth of a unit to the right of the graph of f. C. The graph of g is five times steeper than the graph of f. D. The graph of g is one-fifth as steep as the graph of f.
Answer:
one fifth
Step-by-step explanation:
42
Answer:
The graph of g is one-fifth as steep as the graph of f.
Step-by-step explanation:
solve for b in the mathematical formula A=1/2(a+b)h
Answer:
[tex]b = \frac{2A}{h} - a[/tex]Step-by-step explanation:
[tex]A = \frac{1}{2} (a + b)h[/tex]Multiply both sides by 2
We have
2A = (a + b)h
Divide both sides of the equation by h
That's
[tex] \frac{(a + b)h}{h} = \frac{2A}{h} [/tex]We have
[tex]a + b = \frac{2A}{h} [/tex]Move a to the right side of the equation to make b stand alone
We have the final answer as
[tex]b = \frac{2A}{h} - a[/tex]Hope this helps you
PLEASE HELP:
On a number line, suppose point E has a coordinate of 5, and EG=4. What are the possible coordinates of point G?
The possible coordinates for G are ___
(Type integers or decimals. Use a comma to separate answers as needed.)
Answer:
G = 1, 9.
Step-by-step explanation:
There are two cases to this problem: G is either to the left or right of E. If G is to the left of E, then G = 5 - 4 = 1 and if G is to the right of E, then G = 5 + 4 = 9. Therefore, our answer is G = 1, 9.