Answer:
2[tex]\frac{1}{2}[/tex] litres or 2.5 litres
Step-by-step explanation:
From the question, 9 fruit juice bottles contain 4[tex]\frac{1}{2}[/tex] litres of fruit juice. Therefore, to find how many litres of fruit juice would be contained in 5 fruit juice bottles, you multiply 5 by 4[tex]\frac{1}{2}[/tex] litres and you divide the product by 9.
i.e. Let the quantity of the fruit juice for 5 bottles be x.
9 juice bottles ===> 4[tex]\frac{1}{2}[/tex] litres
5 juice bottles ===> x
∴x = [tex]\frac{5 * 4\frac{1}{2} }{9} litres[/tex]
x = [tex]\frac{5 * 4.5}{9} litres[/tex]
x = [tex]\frac{22.5}{9} litres[/tex]
x = 2.5 litres or 2[tex]\frac{1}{2}[/tex] litres
Hope this helps!!!
If 28 g of cashew nuts contains 14 g of fats.
How many grams of fat are there in 42g of cashew nuts?
Answer:
21 g
Step-by-step explanation:
Use ration method
28:14 = 42:x
To find x,
(14 x 42) divided by 28, which equals 21g
NEED HELP ASAP!!
WILL GIVE BRAINILESS!!
Attached the work need all questions to be done x
Answer:
i) 2x² + 4x + 7x + 14
= 2x² + 11x + 14
ii) 2x² - 5x - 12x + 30
= 2x² - 17x + 30
Find all missing angles.
Answer:
m<1 = 51
m<2 = 34
m<3 = 95
m<4 = 38
m<5 = 47
m<6 = 74
m<7 = 59
Step-by-step explanation: because to get angle 1 you take 180 (because its is a straight line) and subtract the angle 129 giving you m<1 witch is 51. the second one is 180 - (m<1 + 95) =m<2 witch is 34 so m<2 = 34. third is the angle 95 because the lines that intersect give equal opposite angles so m<3 = 95. Four is 180 - (m<3 + 47) =m<4 witch is 38. fifth is opposite angle so it is 47. sixth is m<5 +m<6 + m<7 = 180 so m<5 is 47 and we can find m>7 by subtracting from 180 the angle 121 giving us m<7 = 59 so we will add m<5 and m<7 and subtract from 180 giving us m<6 witch is 74.
12(3x)=12 what does x equal
Answer:
x=0.333
Step-by-step explanation:
12(3x)=12
36x=12
/36 on both sides
x=0.333
Draw the line with equation y=-12x+1
Answer:
See below
Step-by-step explanation:
I attached a picture of the graph below. It has a slope of -1/2 and a y intercept of 1. Hope this helps!
find the equation of the line passing through the point (0,1) which is perpendicular to the line y=-3/4x-3
Answer:
y = [tex]\frac{4}{3}[/tex] x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{3}{4}[/tex] x - 3 ← is in slope- intercept form
with slope m = - [tex]\frac{3}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex]
The line crosses the y- axis at (0, 1 ) ⇒ c = 1
y = [tex]\frac{4}{3}[/tex] x + 1 ← equation of perpendicular line
First gets a brainly :D
Answer:
[tex]47.25\[/tex]
Step-by-step explanation:
[tex]42 \times 1.125[/tex]
[tex]=47.25[/tex]
Answer:
$25.2
Step-by-step explanation:
a circular pool has a radius of 40 feet. what is the area of the pool?
Answer:
5026.55
Step-by-step explanation:
A=πr2=π·402≈5026.54825ft²
Can someone show me how to get x for both
Answer:
So since the sum of both is 13 because it shows both of the lines connected as a length of lines.
So we add them (14+x)+(x+15) = 13
14+2x+15 = 19+2x = 13
-6=2x
x=
-3
Step-by-step explanation:
work out the area of this circle when its the diameter 9m take pie to be 3.142 and give your answer to 2 decimal places.
3.142*4.5²=63.6255
Answer=63.63
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment..
CAN SOMEONE HELP ON MY LAST QUESTION PLZZZ
Which question are you talking about? I mean that why is there no attachment / image of your question? How do we know what is the question?So could you pls complete your question? :)
Answer:
(1, - 12 )
Step-by-step explanation:
Given the graph of f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Thus f(x) - 4 represents a shift down of 4 units, that is
(1, - -8 ) → (1, - 8 - 4 ) → (1, - 12 )
Consider this quadratic equation.
x2 + 2x + 7 = 21
The number of positive solutions to this equation is
_____.
The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is
_____.
Step-by-step explanation:
work is shown and pictured
Bill and Amy want to ride their bikes from their neighborhood to school which is 14.4 km away. It takes Amy 40 minutes to arrive at school. Bill arrives 20 minutes after Amy. How much faster (in km/h) is Amy than Bill for the entire trip?
Answer:
Amy is (21.6 - 14.4) 7.2 km/hr faster than Bill.
Distance = speed / time
Amy's speed
40 minutes = 40/60 = 2/3 hours
14.4 = speed / 2/3
Speed = 14.4 * 3/2 = 21.6 km/ hr
Bill speed
60 minutes = 1 hour
Speed = 14.4 km / hr.
Graph the solution of this inequality:
350 > 125 + 15.r
Unfortunatly brainly does not provide me with graphics support.
First thing to realise is that we are dealing with inequality which essentially means that the solution will be an interval or more specifically a possibly constrained set of value.
Here is the inequality:
[tex]
350 > 125 + 15r
[/tex]
If we subtract 125 and then divide by 15 on both sides we get:
[tex]
r > 15
[/tex]
This notation essentialy means that inequality is true for any r smaller than 15. We can write that as r being in some set of numbers that represents the possibilites:
[tex]r\in\{14,13,12,\dots,-\infty\}[/tex]
In interval notation that is:
[tex]r\in(-\infty,15)[/tex]
PLEASE help, i will give brainliest<3
Please simplify then determine the value of the polynomial when n=3 and when n=2.
a) (5n^2 + 3n -4) + (-3n^2 + 4n -1)
b) (7n^2 - 5n - 2) - (-n^2 + 6n + 8)
Answer:
a. 34
b. 0
Step-by-step explanation:
you plug the n values as n
note when -n^2, you do this:
[tex]-(2)^{2}[/tex]= -4
so don't mistake it for +4
pay special attention to the signs to solve like:
+ times - is a negative!
Answer:
Simplified Expression a ) 2n^2 + 7n - 5,
Simplified Expression b ) 8n^2 - 11n - 10,
When n = 3 part a ) 34,
When n = 2 part a ) 17,
When n = 3 part b ) 29,
When n = 2 part a ) 0
Step-by-step explanation:
Consider the " simplification " process at hand;
[tex]a ) (5n^2 + 3n -4) + (-3n^2 + 4n -1),\\5n^2+3n-4-3n^2+4n-1,\\5n^2-3n^2+3n+4n-4-1,\\\\Simplified Expression = 2n^2+7n-5[/tex]
[tex]b ) (7n^2 - 5n - 2) - (-n^2 + 6n + 8),\\7n^2-5n-2+n^2-6n-8,\\\\Simplified Expression = 8n^2-11n-10[/tex]
For each part ( a and b ) I removed the ( ) and grouped like elements to receive the simplified expression;
Value of each polonomial;
[tex]a ) 2n^2 + 7n - 5,\\2 * ( 3 )^2 + 7 * ( 3 ) - 5,\\34\\\\2 * ( 2 )^2 + 7 * ( 2 ) - 5\\17[/tex]
[tex]b ) 8n^2 - 11n - 10,\\8 * ( 3 )^2 - 11 * ( 3 ) - 10,\\29\\\\8 * ( 2 )^2 - 11 * ( 2 ) - 10,\\0[/tex]
Each expression was solved through substitution and algebra.
" Simplified " Solution - See in answer above
* I hope the answer wasn't too confusing, for further information look through my response thoroughly
Help……………………………………….
Answer:
The second option
Step-by-step explanation:
Adding n to the x inside of the parentheses moves the graph n units to the left
Answer:
5 units left. When looking at a translation of x inside of parentheses, it is the opposite of the sign. So x+5 becomes 5 to the left.
Step-by-step explanation:
What is the length of the diagonal, d, of the cube shown below?
Round your answer to the nearest tenth
Answer:
103.8
Step-by-step explanation:
Length of diagonal of a cube is given by the formula:
[tex]d = side \times \sqrt{3} \\ \\ \therefore \: d = 60 \times \sqrt{3} \\ \\ \therefore \: d = 60 \times 1.73 \\ \\ \therefore \: d = 103.8 \: units[/tex]
The length of the diagonal of the cube is 103.9 units.
What is a cube?
A cube is a three dimensional figure or object which has all the side with equal length.
The length of each side of the cube = a = 60 units.
Therefore, the length of the diagonal of the cube = d = a[tex]\sqrt{3}[/tex] = 60[tex]\sqrt{3}[/tex] units = 103.9 units.
Learn more about a cube here: https://brainly.com/question/21270976
#Tag #SPJ2
If /61 is the longest side length in the triangle, find the value of x that makes the triangle above a right triang
answer in simplest radical form.
A. 5
B. 6
C. 2V15
D. 6V10
Answer:
A. 5
Step-by-step explanation:
The longest side of the right triangle is the hypotenuse and it is √61 units. The other legs of the triangle is x unit and (x + 1) units.
From Pythagoras theorem for right angle triangle, the square of the hypotenuse is equal to the sum of the square of the other sides of the triangle. This implies that:
(√61)² = (x)² + (x + 1)²
x² + x² + 2x + 1 = 61
2x² + 2x + 1 - 61 = 0
2x² + 2x -60 = 0
Dividing through by 2 gives:
x² + x - 30 = 0
x² + 6x - 5x - 30 = 0
x(x + 6) -5(x + 6) = 0
(x-5)(x+6) = 0
x-5 = 0 or x+6 = 0
x = 5 or x = -6
Since the length of a side cannot be negative, x = 5 units
Answer:
The correct answer is A.
Step-by-step explanation:
X=5
5.Sebuah kapal selam berada 420.5 m di bawah aras laut. Kapal selam itu menyelam sedalam 185.6 m dan kemudian menaik 200.9 m. Tentukan kedudukan baharu kapal selam itu berpandukan aras laut.
Help im still lazy lol
Answer:
t= -105
Step-by-step explanation:
To solve the equation, we want to find out what t is. In order to do this, we have to get t by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
-1/15t=7
t is being multiplied by -1/15. The opposite of multiplication is division. Divide both sides by -1/15.
-1/15t/-1/15=7/ -1/15
t=7/ -1/15
Instead of dividing a number by a fraction, you can multiply the number by the reciprocal of the fraction.
To find the reciprocal, flip the numerator (top number) and denominator (bottom number).
-1/15--flip--> -15/1=-15
Substitute -15 in for -1/15, and switch the division sign to a multiplication sign.
t= 7* -15
t=-105
Let's check out solution. Plug -105 back in for t in the original equation.
-1/15t=7
-1/15*-105=7
7=7
Both sides are the same, so we know that t=-105.
Answer:
t=-105
Step-by-step explanation:
[tex]-\frac{1}{15} t =7[/tex]
What we need to do here is to isolate t.
Let's multiply both sides by -15.
[tex]-\frac{1}{15}t * -15 = 1t[/tex]
7*-15= -105
t=-105
please help , factor 6x^2-33x+15 A. 3(2x-5)(x+1) B. 3(x+1)(2x+5) C. 3(2x-1)(x+5) D. 3(x-5)(2x-1)
Answer:
D
Step-by-step explanation:
Since the end term is positive, we know the 1 and 5 must both be positive or negative. However since -33x is negative, we know 1 and 5 are both negative too
Answer:
3(2x-1 )(x-5 )
Step-by-step explanation:
6x^2-33x+15
Factor out the greatest common factor
3(2x^2 -11x +5)
Factor inside the parentheses
3(2x )(x )
We need to get to -11 so the the only factors of 5 are 1 and 5 and they have to be negative
3(2x-1 )(x-5 )
2 * -5 + -1 = -10-1 = -11
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
5x^2 + 10x
Step-by-step explanation:
Area = Width x Height
Area = (5x)(x+2)
Use distributive property
5x^2 + 10x
Answer:
A = 5x^2 + 10x
Hope this helps!
Edit: I did not copy hazeemmajid604's answer.. we just posted it at the same time.
Please answer correctly !!!!!! Will mark brianliest answer !!!!!!!!!!
Answer:
see below
Step-by-step explanation:
g(x) = (x² - 2 * 1/2 x) - 6
= (x - 0.5)² - 0.25 - 6
= 1(x - 0.5)² - 6.25
what is the mean of this set {6,7,9,9,9}
Answer:
8
Step-by-step explanation:
To find the mean, or average of a data set, add all the values together, then divide by the number of values.
The data set is: 6,7,9,9,9
1. Add all the values
Add 6,7,9,9 and 9
6+7+9+9+9
40
2. Divide by the number of values
Count how many numbers are in the data set. In this case, there are 5 numbers.
Divide 40 by 5.
40/5
8
The mean of the data set is 8.
Steps:
Mean x: 8
Median x: 9
Mode: 9
Range: 3
Minimum: 6
Maximum: 9
Count: 5
Sum: 40
1: 6+7+9+9+9
2: =40
3: 40 divided by 5
4: = 8
Description:
The mean for this set is 8. We know this because when we add all the numbers = 40 then divided it by 5 = 8.
5 is the total numbers there
Please mark brainliest
Hope this helps.
60cm in the ratio 5:7
Answer:
[tex]25:35[/tex]
Step-by-step explanation:
[tex]\frac{60}{5+7}[/tex]
[tex]\frac{60}{12}[/tex]
[tex]=5[/tex]
[tex]5:7[/tex]
[tex]5 \times 5 :7 \times 5[/tex]
[tex]25:35[/tex]
Are the following figures similar? (1 point)
Yes; the corresponding angles are congruent
No; the corresponding angles are not congruent
yes; the corresponding sides are proportional
no; the corresponding sides are not proportional
Answer:
yes the corresponding angles are congruent...
it can be wrong
Is -415 rational or irrational
Answer:
Rational
Step-by-step explanation:
Can convert it to a ratio (-415/1)
Answer:
Rational
Step-by-step explanation:
-415 is an integer. All integers are rational. It can be written as a fraction p/q, where p and q are integers and q is not equal to zero.
-415 can be written as [tex]-\frac{415}{1}[/tex].
PLEASE HELP. A Ferries wheel has a diameter of 100 ft. The center of the wheel is 60 feet off the ground. If it takes the Ferries wheel 12 seconds to make a full rotation, find the height of a rider 2 seconds after he passes position A, the right most point on the wheel.
Answer choices:
A. 103.30 ft
B. 80.34 ft
C. 74.40 ft
D. 101.96 ft
Answer:
lresaputa es la C
Step-by-step explanation:
Please please please answer this if you do this i will give you brain list I’ll give a thank you and I’ll rate you five star. It’s due soon so pls answer FAST!!
Answer:
b) 30^2 + b^2 = 40^2
Step-by-step explanation:
This is cuz the diagonal is the hypotenuse of the diagonal formed so it'll be c^ 2
c ^ 2 always is on the right hand side of the equation.
In this case since 40^2 is c^2 is should be on the right side of the equation.
Question 14 (1 point)
John is collecting vintage baseball cards and has about 25 he got from his dad. He is collecting
about 2 cards per month. Write a function, C(x), that represents how many cards John has
after x months.
N
Answer:
C(x) = 25 + 2x
Step-by-step explanation:
He already has 25 cards.
He is collecting 2 cards per month. In x months, he will have collected:
2 * x = 2x cards
That means that the number of cards he will have after x months will be the sum of the cards he already has and the cards he collects per month:
C(x) = 25 + 2x
