Answer:
9 lemonade, 3 tea, 4 water
Answer: Robert should serve 3 for tea, 9 for lemonade, and 4 for water.
Step-by-step explanation:
Since you don't know how many friends are drinking lemonade or tea, you should give them variables.
x = amount of friends drinking tea
3x = amount of friends drinking lemonade
We already know how many are drinking water, so there's no need for a variable.
Then, make an equation:
x + 3x + 4 = 16
Simplify:
4x + 4 = 16
Isolate the variable by subtracting 4 from both sides:
4x = 12
Isolate the variable by dividing both sides by 4:
x = 3, so 3 friends are drinking tea
3x = 9, so 9 friends are drinking lemonade
Double check the work by replacing the variables with their actual numbers:
3 + 9 + 4 = 16
Simplify:
16 = 16
Therefore, the answer is correct.
Write 7 times the sum of y and 1/3 as an algebraic expression
Answer:
7 x (y+1/3)
because you take the sum in a parentheses to follow PEDMAS and then multiply the sum by 7
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The algebraic expression of 7 times the sum of y and 1/3 is
7/3 (3y + 1).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
7 times the sum of y and 1/3
This can be written as,
= 7 (y + 1/3)
=7 (3y + 1) / 3
= 7/3 (3y + 1)
Thus,
The algebraic expression of 7 times the sum of y and 1/3 is
7/3 (3y + 1).
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
The revenue (in dollars) from the sale of x car seats for infants is given by the following function. R(x) =56x -0.020x^2 0less than or equal to x and 2800 is greater than or equal to x
Answer:
[tex]Rate = 15[/tex]
Step-by-step explanation:
Given
[tex]R(x) = 56 - 0.020x^2[/tex]
Required
Find the average change from 1,000 car seats to 1,050 car seats --- Missing information
This is calculated using:
[tex]Rate = \frac{R(b) - R(a)}{b-a}[/tex]
In this case:
[tex]a = 1000[/tex]
[tex]b = 1050[/tex]
Now, we have:
[tex]Rate = \frac{R(1050) - R(1000)}{1050-1000}[/tex]
[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]
Calculating R(1050)
[tex]R(1050) = 56 *1050- 0.020*1050^2[/tex]
[tex]R(1050) = 58800-22050[/tex]
[tex]R(1050) = 36750[/tex]
Calculating R(1000)
[tex]R(1000) = 56 *1000- 0.020*1000^2[/tex]
[tex]R(1000) = 56000- 20000[/tex]
[tex]R(1000) = 36000[/tex]
So:
[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]
[tex]Rate = \frac{750} {50}[/tex]
[tex]Rate = 15[/tex]
The average rate of change is 12
Find QUS, given the following sets:
P = {b, d, f, g}
Q = {a, b, c, d]
R = {c, e, f, g}
S = {a, d, g}
Answer:
Q=(a,b,c,d)
S=(a,d,g)
QUS=(a,b,c,d,g) Union of set means all the elements in both set.
For f (x) = 3x +1 and g(x) = x2 - 6, find (ff + g)(x).
Given:
The two functions are
[tex]f(x)=3x+1[/tex]
[tex]g(x)=x^2-6[/tex]
To find:
The function (f+g)(x).
Solution:
We know that,
[tex](f+g)(x)=f(x)+g(x)[/tex]
Putting the values of given functions, we get
[tex](f+g)(x)=3x+1+x^2-6[/tex]
[tex](f+g)(x)=x^2+3x+(1-6)[/tex]
[tex](f+g)(x)=x^2+3x-5[/tex]
Therefore, the required function is [tex](f+g)(x)=x^2+3x-5[/tex].
A cell phone company charges $40 per month plus a $35 activation fee.Write an expression for the total cost for m months.
40m+35=
Step-by-step explanation:
I'm not sure but I think it is this
40m+35=
On Monday Sylvia spent 5/12 of a day driving to her cousins house. On Friday she spent the same amount of time driving home. What fraction of day did Sylvia spent driving to her cousin’s house and back? Explain
Answer:
10
Step-by-step explanation:
Choose >, <, or = to compare each pair of numbers
71.6 ____ 71.63
Answer:
its the same
Step-by-step explanation:
= its that sign
can someone help pls
Answer:
37
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Identify
Leg a = 35
Leg b = 12
Hypotenuse c
Step 2: Solve for c
Substitute in variables [Pythagorean Theorem]: 35² + 12² = c²[Hypotenuse] Rewrite: c² = 12² + 35²[Hypotenuse] Evaluate exponents: c² = 144 + 1225[Hypotenuse] Add: c² = 1369[Hypotenuse] [Equality Property] Square root both sides: c = 37100 points if u help
The answer is 87.12
Just check it once
Answer:
87.92
that is the answer
3.14(4^2+12)
this is how it looks in normal form without a and b
4^2 is going to be 16
16+12= 28
3.14 times 28= 87.92
Step-by-step explanation:
Problems of the Week (P.O.W.)
Week of February 8-12
5. Hank went to the store and bought two erasers and three pencils. If each
eraser was half the price of each pencil, how much was each pencil if he
spent $2.04 in all (excluding tax)?
MY WORK
TEACHER REVIEW
Answer:
Each pencil cost $0.51
Step-by-step explanation:
X +0.25 0.75, x=0, 0.5, 1
Answer:
hello good evening
be happy always
is this the right answer?
which inequality is the solution to 20+2
Answer:
is there supposed to be answer choices?
Step-by-step explanation:
Answer:
2.11
Step-by-step explanation:
In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).
The number of times that each prime divides the original integer becomes its exponent in the final result.
In our example,
Prime number to the power of equals .
Prime number to the power of equals .
Molly, page and demi share 42 sweets in the ratio 3:2:1 how many sweets do the all get each
Answer:
Molly: 21
Page: 14
Demi: 7
Step-by-step explanation:
Hope this helps! ;)
If y = 2 when x = -12, find y when x = -4
Answer:
x=2/3 because you divide -12 by 3 to get 4 so you need to divide 2 by 3
Step-by-step explanation:
13: 3 Simplify the left side of the eq 106.
Answer:
more context please?
Step-by-step explanation:
Is (4, 2) a solution to the equation y = x2 − 7x?
Answer:
not rlly
Step-by-step explanation:
you need more information to solve that type of equation
Answer: NO
Step-by-step explanation:
Given
y=x²-7x
Substitute the [solution] into the equation
y=x²-7x
2=(4)²-7(4)
2=16-28
2=-12
2≠-12
Therefore, (4, 2) is not a solution
Hope this helps!! :)
Please let me know if you have any questions
toby has already cycled 6 kilometers this year, plus he plans to cycle 14 kilometers during each trip to work. after 3 trips to work, how many kilometers will toby have cycled?
Answer:
48 kilometers
Step-by-step explanation:
If Toby has traveled to work 3 times, and each time he traveled 14 kilometers, to find out how many kilometers he's traveled total, all you have to do is multiply 14 x 3, which equals 42. To find out how many kilometers he's traveled in all this year, just add the amount of kilometers he has already traveled. (42+6)
Solve the system of equations using substitution. y = -7x 2x – y = -9
Answer:
x = -1
y = 7
Step-by-step explanation:
We have a system of equations and are asked to solve using substitution.
y = -7x
2x - y = -9
Since we have an equation for y by itself, we can plug the first equation into the second.
2x - (-7x) = -9
Distribute :
(-(-7x))
2x + 7x = -9
Add like terms :
9x = -9
Divide 9 by both sides to get x :
x = -1
Now that we know x, we can plug it into the first equation to find y :
y = -7(-1)
y = 7
El lote rectangular de mi casa tiene 8m mas de profundidad que de frente y para cercalo necesitamos 46m ¿cuales son las dimensiones del lote?
Answer:
Profundidad 1= 15,5 metros
Profundidad 2= 15,5 metros
Frente 1= 7,5 metros
Frente 2= 7,5 metros
Step-by-step explanation:
Suma todo y da 46 metros que es la medida de la cerca.
resta la profundidad con el frente y da 8 metros que es la diferencia o los metros más.
:)
PLEASE HELP ME!!!! 20 POINTS!!!!!!!
What is the correct expanded form and value of 4/5?
A. 4/5+4/5+4/5=12/5
B.4/5•4/5•4/5=64/125
C. 4+4+4+4/5=12/5.
D. 5/4•5/4•5/4=125/64
Two similar triangles have a scale factor of 3:5. Determine whether the
following statement about the triangles is true or false.
The ratio of their perimeters is 3:5
Answer:
That is statement is true
Which group of numbers does 2,567
NOT belong to?
B
Whole
Integer
D
Rational
Irrational
Answer:
Irrational
Step-by-step explanation:
If segment AB is 28, then segment AD is___?
Answer:
C. 14
Step-by-step explanation:
The whole side is 28 (AB), so AD must be half of AB. 28/2=14
The new Nintendo game costs $70. The sales tax was 5%, what was the total cost?
Answer:
$66.50.
Step-by-step explanation:
A question paper is made up of twelve questions. A student
attempted only 25% of the questions, how many questions were
left untouched?
Answer:
3 is the correct answer..
Wyatt took a taxi from his house to the airport. The taxi company charged a pick up fee of $1 plus $2 per mile. The total fare was $29 not including the tip. How many miles was the taxi ride
Answer:
THe taxi ride was 18 miles
Step-by-step explanation:
I know this because 14x2=28 and they said the total was $29 and there was a $1 pickup fee
Answer:
14 miles
Step-by-step explanation:
29(the total sum) minus 1(the base fee) 28 divided by 2 equals 14 miles
stella rewrites -2 1\2+3.7 as 3.7-2 1\2
Answer:
Step-by-step explanation:
Yes correct.
Commutative property upon integer addition/subtraction
-3 + 2 = 2 - 3
Kari, a biologist, is getting ready for a new study of tropical fish. She needs to fill the tank with precisely 5 gallons of water. She uses a quart container.
8 fluid ounces = 1 cup. 2 cups = 1 pint. 2 pints = 1 quart. 4 quarts = 1 gallon.
How many times will Kari have to fill the container to make 5 gallons?
10 times
15 times
20 times
25 times
Answer:
20 times is correct
There are 80 balloons used
to make 20 identical gift
baskets. What is the unit
rate in balloons per gift
baskets?
The answer your looking for is 4.
Step-by-step explanation:
This is because ⬇
80
➗ 20
4
You can check this by doing 20 * 4 if needed.
Therefore 4 is your answer.
( Sorry this is late )