Answer : 2.142L
Step-by-step explanation:
51/100 × 4.2
=51/100 × 42/10
= 2142/1000
= 2.142L
Answer:
2.142 LStep-by-step explanation:
Total Volume = 4.2L = 4200 ml
Amount Drunk = 51%
How much did Johan drink = 51% of 4200 ml
[tex] \frac{51}{100} \times 4200 \\ = \frac{51 \times 42}{1} \\ = 2142[/tex]
2142 ml = 2.142 L
Which of these situations is not a situation of proportionality? Immersive reader A person's age and height The cost of filling up with gasoline and the number of liters purchased The number of working days and the salary The number of movie tickets purchased and the total bill
Answer:
A person's age and height
Step-by-step explanation:
Required
Select which do not represent proportionality
Proportionality exists when a unit rate can be calculated.
For instance:
- If 2 litres of gas is $2, then the unit rate is $1 per litre
- If an employee is paid $100 for 5 days, then the unit rate is $20 daily
- If 5 movie tickets cost $50, then the unit rate is $10 per movie
The above scenario are used to describe options (2 - 4) because they can be expressed in unit rates.
However, this is not the same for age and height because age is not a function of height and height is not a function of age. In other words, they can not be expressed in proportions.
So, option (a) is not a situation of proportionality.
Is 2 a solution of 4x + 12= 4? Complete the statement. The equation is (true, false) when x = 2, so 2 (is, is not) a solution. WILL MARK BRAINLIEST
Answer:
The answer is false and is not
Explanation:
Given the equation - [tex]4x+12=4[/tex]
Substitute x = 2 in the equation
[tex]4(2)+12=4\\8+12=4\\20=4[/tex]
Thus, the equation is false. When the equation is false, meaning that the coordinate x-term isn't passed by the line. (Rather say that the point is not the part of the graph.)
The equation is false is our first answer.
If the equation is false, that means the given value is not part of the graph, thus making the x-value not the solution.
Answer:
The equation is FALSE when x=2, so 2 IS NOT a solution.
which table represents a linear function?
Answer:
Step-by-step explanation:
Only the first table represents a linear function. In order to be in linear function, the graph of the function must be a straight line.
Bobby, Rachel, and Sherry are going to have a water battle.
- Bobby fills his bucket at a rate of 3/4 gallon in 2 minutes.
- Rachel can fill her bucket at 1/5 gallon in 1/2 minute.
- Sherry can fill 3/8 gallon in 3/4 minute.
Order from fastest to slowest.
Answer:
The order is
Sherry >> Rachel>>Bobby
Step-by-step explanation:
Step one:
We want to find the smallest unit rate
given data
1. Bobby fills his bucket at a rate of 3/4 gallon in 2 minutes.
unit rate
=3/4/2
=3/4*1/2
=3/8
=0.375 gallons per minute
2. Rachel can fill her bucket at 1/5 gallon in 1/2 minute.
unit rate
=1/5/1/2
=1/5*2/1
=2/5
=0.4 gallons per minute
3. Sherry can fill 3/8 gallon in 3/4 minute.
unit rate
=3/8/3/4
=3/8*4/3
=12/24
=0.5 gallons per minute
The ratio of bOYS to giris
that went to camp Ozarks
this summer was 4:5. If
there were 32 boys that
went to the camp, how
many girls were there?
Answer:
There were a total of 40 girls there
Step-by-step explanation:
32 divided by 4 is 8
So multiply 8 x 5 to get 40
P. Antonio is ordering 5 identical sandwiches and a bag of chips. The bag of chips costs $1.25, and the entire order costs $38.75. What is the price of one sandwich
Answer:
$7.50
Step-by-step explanation:
Let the price of one sandwich = x
Hence,
The total cost = Cost of 5 identical sandwiches + 1 bag of chips
The bag of chips costs $1.25, and the entire order costs $38.75.
Hence:
$38.75 = 5x + $1.25
5x = $38.75 - $1.25
5x = $37.50
x = $37.50/5
x = $7.50
Therefore, the price of one sandwich is $7.50
Cherries are on sale for $16 for 4 pounds. Jordyn pays $88.00 for cherries to make a cobbler. How many pounds of cherries doses she buy?
Cribe how making a list can help you solve a math problem. Write a problem that could be solved by making a list.
Answer:
Step-by-step explanation:
All that making a list does is creates a visible step by step instruction manual on what needs to be done in order to solve the math problem that needs to be solved. Lists are extremely helpful and can be used in every single math problem, for example....
15x - 25 = 275
Get rid of -25 by adding 25 on both sidesDivide 15 on both sides to isolate xCelebrate on solving the problemSee making a list isolates the problem into an easy to read instruction manual.
x^3+bx^2-4x-20=0
find b
find the roots
Answer:p(x) = x^3 - 5x^2 - 4x + 20
Step-by-step explanation:
1, - 1, 2, - 2, 4, - 4, 5, - 5, 10, - 10, 20, - 20
P(2) = 2^3 - 5 × 2^2 - 4 × 2 + 20
= 8 - 20 - 8 + 20 = 0,
so, 2 is one of its roots (zeros)
So,
x - 2 is one of the factors of p(x)
So, on dividing p(x) by x - 2 we get
P(x) = (x - 2) (x^2 - 3x - 10)
= (x - 2) (x^2 - 5x + 2x - 10)
= (x - 2) {x (x - 5) + 2 (x - 5)}
= (x - 2) {(x - 5) (x + 2)}
P(x) = (x - 5) (x - 2) (x + 2)
For zeros, let p(x) = 0
=> (x - 5) (x - 2) (x + 2) = 0
Either
(x - 5) = 0
Or
(x - 2) = 0
Or
(x + 2) = 0
So, x = 5, 2, - 2
James has 165 centimeters of yarn left. How many inches does he have left? please explain how to answer it
Answer:
64.9606
Step-by-step explanation:
165/0.393701
Hi! Ok so my little sister needs help with math but I have no idea what to do.
"A recipe makes 6 2/3 cups of pancake batter. If you use 5/6 of a cup of batter for one pancake, how many pancakes can you make?"
I know the answer is 8, but what are the units?
Answer:
Cups are the unit
Step-by-step explanation:
If you were using cups so 8 pancakes you use 5/6 of a cup per pancake
(a unit is just what you use to measure something, so cups, liters, or even cm or meters)
Evaluate the expression for the given values
James sold 450 tickets for the community play. Tickets for children cost $2, and tickets for adults cost $5. James sold $1,800 worth of tickets.
How many tickets for adults did James sell?
PLEASE HELP!!!!!
Answer:
Adults = 300
Step-by-step explanation:
Complete the proof. Someone please help me answer this!
Answer:
Step-by-step explanation:
Supplementary angles are two or more angles that add up to give the measure of angle on a straight line (i.e [tex]180^{o}[/tex]).
It can be deduced from the given question that;
1. <1 and <2 are supplementary, also <1 and <3 are supplementary. Reason: as given in the question.
2. Given statements: m<1 + m<2 = [tex]180^{o}[/tex], and m<1 + m<3 = [tex]180^{o}[/tex]. The reason is the definition of supplementary angles.
3. Statement: m<2 = m<3. The reason is a transitive property.
4. Statement: m<1 + m<2 = m<1 + m<3. The reason is subtraction property of equality.
5.Given statement: <2 ≅ <3. The reason is that definition of congruent angles.
Therefore, <2 ≅ <3.
Use the graph of function g to answer the following questions
What is the value of g(1)
The value of g(1) is 2 because the graph represents the greatest integer function, the answer is 2.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The graph of the greatest integer function is shown in the picture:
From the graph:
g(1) = 2
g(2) = 4
g(3) = 4
g(4) = 4
g(5) = 4
And so on
Thus, the value of g(1) is 2 because the graph represents the greatest integer function, the answer is 2.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
What is the solution to the system of linear equations shown below?
Answer:
(-3,4)
Step-by-step explanation:
The solution is determined by looking at the coordinates of the point of intersection of the two lines
For what values of X does the graph of y=2x^5+15x^4 have a point of inflection?
Answer:
The values of x are 0 and -4.5
Step-by-step explanation:
To find the inflection point, we simply find the second derivative
Mathematically, that will be calculated as follows
1st derivative
10x^4 + 60x^3
2nd derivative
40x^3 + 180x^2
Equate these values to zero
40x^3 + 180x^2 = 0
x^2(40x + 180) = 0
x^2 = 0
or 40x = -180
x = 0
or x = -180/40 = -4.5
How do you factor 9-6x+x^2
Answer:
Step-by-step explanation:
rewrite 9-6x+[tex]x^{2}[/tex] as [tex]x^{2}[/tex]-6x+9. (this step isn't necessary, but it's easier when the bigger term is in front)
There's two ways: using the quadratic formula, or just doing it in your head (for simple ones)
For the simple way:
think about what numbers not only multiply to equal c (represented by 9 in this case) but also add to equal -6 (represents b in this problem). There are two numbers for this problem that work: -3 and -3. So you would write the factored form as (x-3)(x-3)
Quadratic formula:
The formula is [tex]\frac{-b}{2a}[/tex] ±[tex]\frac{\sqrt{b^{2}-4ac } }{2a}[/tex]
This formula works for equations in the form of a[tex]x^{2}[/tex]+bx+c.
Substitute in the values to get:
[tex]\frac{6}{2} +\frac{\sqrt{-6^{2} -4(1)(9)} }{2}[/tex]
simplify:
3±[tex]\frac{\sqrt{36-36} }{2}[/tex]
3±[tex]\frac{0}{2}[/tex]
the answer is 3, which is the x-intercept. Write that as (x-3)(x-3)
Select all of the factions that are equivalent to -2/3
Answer:
-4/6, -8/12, -16/24, etc. look at the picture.
Step-by-step explanation:
Brainliest Please!!! Also, Tip: show the multiple choice options.
Answer:
4/6
Step-by-step explanation:
At o degrees Celsius, the volume of a gas is 22 liters. For each degree the temperature T (in degrees Celsius) increases, the volume V (in liters) of gas increases by two twenty fifths. Write an equation that represents the volume of the gas in terms of the temperature.
Answer:
[tex]V=\dfrac{2}{25}T+22[/tex]
Step-by-step explanation:
It is given that,
At 0 degrees Celsius, the volume of a gas is 22 liters. For each degree the temperature T (in degrees Celsius) increases, the volume V (in liters) of gas increases by 2/25.
If we take a cartesian coordinate, the line passes through (0,22). The slope of the line is 2/25.
The equation of a point-slope form is given by :
[tex]y-y_1=m(x-x_1)\\\\y-22=\dfrac{2}{25}(x-0)\\\\y-22=\dfrac{2x}{25}\\\\y=\dfrac{2x}{25}+22[/tex]
Here, x will be temperature and y will be volume. So,
[tex]V=\dfrac{2}{25}T+22[/tex]
Hence, the equation that represents the volume in terms of the temperature is [tex]V=\dfrac{2}{25}T+22[/tex]
PLEASE ILL GIVE 40 POINTS!!! How do the magnetic and electrical components of electromagnetic waves travel in relation to each other?
at right angles
toward each other
in a circular motion
parallel to each other
Answer:
im pretty sure it's right angles
Step-by-step explanation:
Answer:
they travel at right angles to each other in a bundle of light energy called a photon.. (probably, not sure)
PLEASE I NEED HELP NOW I ONLY HAVE 60 SEC LEFT TO ANSWER THIS
Answer:
0.6
Step-by-step explanation:
ill explain later GO GO GO
Answer:
1068
Step-by-step explanation:
A 2oz cup of frozen yogurt has 50 calories in it. How many calories are 7 oz?
A store offers a 14% discount on a DVD. If the cost is discounted by $4.90, what is the original cost of the DVD?
Answer:
35
Step-by-step explanation:
Let's call the original price X
14% of x is equal to $4.90 to calculate 100% of the price we multiply 100 with 4.9 then divide it with 14
4.9 × 100 ÷ 14 = 35
What is 6% sales tax on a $12
pair of mittens?
(show your work)
Answer:
$0.72
Step-by-step explanation:
In order to solve this question we need to know that 1% is one hundredth of something. Another important thing you need to understand is that when we are trying to find n% of y we multiply just need to multiply "y" by [tex](\frac{n}{100} )[/tex]. In our case we have to find 6% of 12, in other word they are asking as the following "What is $12 times [tex](\frac{6}{100} )[/tex]?". So in order to find the answer we do the following..............
[tex]12 (\frac{6}{100} ) = \frac{(12)(6)}{100} = \frac{72}{100} = 0.72[/tex]
Combine and simplify these radicals.
18.20
Answer:
[tex]4\sqrt{10}[/tex]
Step-by-step explanation:
Please answer this there is a link to the photo
Answer:
588
Step-by-step explanation:
In a factor tree, I mostly like to look from down to up so that I can track down the non-square number. In a square number, there must be two factors that are exactly the same as each other, and when multiplied gives that square number.
So based on the 5 × 5, 2 × 2, and 7 × 7, we can tell that 25, 4 and 49 are all square numbers. We move up one level. Since the factors of 196 are square numbers, 196 is also a square number since it consists of 2² × 7².
We move another step up. 588 consists of 3 and 196. We know that 196 is a square number, but 3 is a prime number, which means that 3 only has a factor of 3 and itself. Thus, 588 is not a perfect square number since there should be a double factor for 3.
Type the missing numbers in this sequence
Answer:
34 then 42
Step-by-step explanation:
big brainnnnnnnnn
Can anybody help with this ( hope this is better)
family built a house that has lenght and widht in 5:4, how long and wide is the house if it's 160m2 big?
Answer:
length = 14.14 m and width=width 11.32 m
Step-by-step explanation:
length be L and width be w
L:w = 5:4
L/w = 5/4
Let L =5k and w=4k
since A= lengthxwidth
A=5k x 4k
so, 160 = 20 k2
k 2 = 8
k = 2.828
since L = 5k in above, L= 5x2.828= 14.14
and since w=4k in above, w=4x2.828 = 11.32
This is my Guess. ..
Answer:
I hope it will help u
Step-by-step explanation:
As given that
L:W=5:4
L/W=5/4
L=(5/4)Whence we also know that
Area of rectangle= L*WAs given A=160m2
putt the value of A and L=(5/4)W in above equation ,
hence 160 = (5/4)W * W
W^2 = 160*4/5
W^2 = 32*4
W^2=128
taking square root
W= +_ 11.3
but length can't be negative so we take positive value of W
W=11.3 mNow for L putt in above equation,L=5/4 * 11.3 = 14.12 m