A container of coffee is 1/6 full. The container contains 2/3 a pound of coffee. a. Write a division expression that represents the capacity of the container. b.Write a multiplication expression that represents the capacity of the container. c.Find the capacity of the container.
Answer:
(a) [tex]x= \frac 2 3\div \frac 1 6[/tex]
(b) [tex]x= \frac 2 3\times \frac 6 1[/tex]
(c) 4 pounds
Step-by-step explanation:
Let the capacity of the container is [tex]x[/tex].
The container has coffee which is 1/6 of the capacity of the container and the amount of coffee is 2/3 pounds.
So, 1/6 of the capacity of the container has 2/3 pound of coffee, i.e
[tex]\frac 1 6 \times x = \frac 2 3\cdots(i)[/tex]
(a) From the equation (i), the required division expression for the capacity of the box, x, is
[tex]x= \frac 2 3\div \frac 1 6[/tex]
(b) The division expression can be changed to multiplication expression by interchanging the numerator and the denominator of the divisor. So, from part (a), the required multiplication expression for the capacity of the box, x, is
[tex]x= \frac 2 3\times \frac 6 1\cdots(ii)[/tex]
(c) From equation (ii), the capacity of the box is
[tex]x= \frac 2 3\times 6= 4[/tex] pounds.
what will happen to the area of a square if the length of its sides are halved
Answer:
the side is halved the area of the square will be one fourth
Step-by-step explanation:
example : 6cm
area : 6x6 = 36
now half of 6 is 3
so : 3x3 = 9
one-fourth of 36 is 9
Regal Cinemas sold a total of 8500 movie tickets. Proceeds totaled $64,600. Tickets can be bought in one of 3 ways: a matinee admission cost $5, student's admission is $6 all day, and regular admission are $8.50. How many matinee tickets were sold if twice as many student tickets were sold as matinee tickets? * Only type the number of matinee tickets that were sold
Answer:
900
Step-by-step explanation:
From the information given you can write the following equations:
x+y+z=8500 (1)
5x+6y+8.50z=64600 (2)
y=2x (3)
First, you can replace (3) in (2) and (1):
x+2x+z=8500
3x+z= 8500 (4)
5x+6(2x)+8.50z=64600
5x+12x+8.50z=64600
17x+8.50z=64600 (5)
Now, you have two equations:
3x+z= 8500 (4)
17x+8.50z=64600 (5)
Then, you can isolate z in (4):
z=8500-3x (6)
Next, you can replace (6) in (5):
17x+8.50(8500-3x)=64600
17x+72250-25.5x=64600
7650=8.5x
x=7650/8.5
x=900
You can replace the value of x in (3) to find y:
y=2x
y=2*900
y=1800
Finally, you can replace the value of x in (6) to find z:
z=8500-3(900)
z=8500-2700
z=5800
According to this, the answer is that 900 matinee tickets were sold.
1. What is 10% of 75?
Answer:
7.5
Step-by-step explanation:
i hope this helps!!
Find two consecutive integers whose sum is eleven less than three times the smaller integer.
Answer:
If you call the smaller integer "x" and the greater integer "y", then:
x+y=3x-11 The sum of the two is 11 less than 3 times the smaller
y=x+1 Because they are consecutive, the greater must be 1 more than the smaller
Then you can solve for x:
x+(x+1)=3x-11 Substitute x+1 for y
2x+1=3x-11 Combine like terms
2x+12=3x Add 11 to both sides
12=x Subtract 2x from both sides
The smaller integer is 12, thus the greater integer is 1 more or 13.
Check:
12+13=3(12)-11
25=36-11
25=25 Yes, so the integers are 12 and 13
Step-by-step explanation:
thats pretty much it
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2, 2)A(−2,2)A, left parenthesis, minus, 2, comma, 2, right parenthesis, B(6, 2)B(6,2)B, left parenthesis, 6, comma, 2, right parenthesis, C(6, 3)C(6,3)C, left parenthesis, 6, comma, 3, right parenthesis, and D(-2, 3)D(−2,3)D, left parenthesis, minus, 2, comma, 3, right parenthesis.
What is the area of rectangle ABCDABCDA, B, C, D?
The area of rectangle ABCD with the given vertices is: 8 units².
What is the Area of a Rectangle?Area of rectangle = (length)(width).
Given the following vertices:
A(-2, 2)B(6, 2)C(6, 3)D(-2, 3)Area = (length)(width) = (AB)(BC)
AB = |-2 - 6| = 8 units
BC = |2 - 3} = 1 unit
Area of rectangle = (8)(1) = 8 units².
Learn more about area of rectangle on:
https://brainly.com/question/25292087
#SPJ1
Answer: 8
Step-by-step explanation:
What is the common difference or common ratio for the sequence: 27, 9, 3, 1, 1/3, ...
Answer:
It's dividing by 3 everytime, so 1/3
Step-by-step explanation:
plzzz help
-7/9 times 9/8 in fraction form
Answer:
7/8 (simplified)
Step-by-step explanation:
Answer:
-7/8
Step-by-step explanation:
-7/9*9/8
Simplify
-7/1*1/8=
-7/8
If SV is a perpendicular bisector of RT, which statement is true?
Answer:
The correct answer is A
Step-by-step explanation:
A. The point (3.5, 210) is on the graph. Explain what this means in terms of the car.
B. Is the point (1, 60) on this graph? Yes or no. Explain how you know
Answer/Step-by-step explanation:
A. The point (3.5, 210) on the graph means the car travelled a distance of 210 miles, at constant speed, for 3.5 hours.
B. To find out if the point (1, 60) is on the line, first, calculate the slope of the line (rate of change), and then find the rate of change between the point (1, 60) and the point (3.5, 210). If you get the same value as the slope of the line, it definitely means (1, 60) is a point of the graph.
Calculating slope of the line using (3.5, 210) and (5, 300):
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{300 - 210}{5 - 3.5} [/tex]
[tex] slope(m) = \frac{90}{1.5} [/tex]
[tex] slope(m) = 60 [/tex]
Calculating the rate of change (slope) between (1, 60) and (3.5, 210):
[tex] = \frac{y_2 - y_1}{x_2 - x_1} = \frac{210 - 60}{3.5 - 1} [/tex]
[tex] = \frac{150}{2.5} = 60 [/tex]
Rate of change (slope) = 60
Since the average rate of change between (1, 60) and the given point on the graph, (3.5, 210), is the same as the slope of the graph, therefore the point (1, 60) is a point on the graph also.
The answer is, YES.
PLEASE ANSWER FAST.
The question is in the picture.
(question 24)
Answer:
As the values of x increase both function decrease in value.
Step-by-step explanation:
i know it’s a lot to ask for but what are the answers for all of these you get 100 points and you get marked brainliest
CAN SOMEONE HELP ME ?
Answer:
sure ill help
Step-by-step explanation:
Answer:
a+b=f
Step-by-step explanation:
180-f= c
180-(a+b)= c
SO
a+b= f
-5 -2q = 9
please help me
Answer:
q = -7
Step-by-step explanation:
-5 - 2q = 9
Add 5 to both sides of the equation.
-2q = 14
Divide both sides by -2.
q = -7
2. Lauren is thinking about spending all of her allowance money to buy a new bike. If she has $224
and she can only afford of the price of the bike, how much does the bike cost?
Answer:
Ffyguggjbkbkhigu
Step-by-step explanation:
Hjvjgjgugugugugugigkhkhkhkhkhkhkh
Please answer real quick
Answer:
use symbolab
Step-by-step explanation:
how to find the sequence
X. Y
0. 0
1. 1.5
2. 4
3. 7.5
4. 12
Answer:
they add one half to each number
Which is the graph of the equation y-1=2/3(x-3)?
Answer:
The second graph ( one with the coordinates (3,1) and (6,3))
Step-by-step explanation:
Answer:
The answer is B.
Step-by-step explanation:
Fifty eighth graders attend a
charter school. If 1/10 are
home with the flu and 2/3 of
the remaining students are
on a field trip, how many are
in school?
Answer:
15
Step-by-step explanation:
1/10 of 50 is 5, so remove that.
2/3 of 45 is 30, so remove that too.
therefore, 15 kids are in school
hope this helps!! <3
I NEED HELP PLEASE HELP IF YOU CAN ASAP
Answer:
C. None of these
Step-by-step explanation:
A 24-roll package of toilet paper is $14.88. If the price per roll stays the same, what would be the price of a ten-roll package?
Answer:
Step-by-step explanation:
Pleasssssse help meeeeee
Answer: [tex]x \geq 3[/tex]
The graph has a closed circle pointing to the right
Evaluate
14
P
- 4 - 2h when p=1 and h=4.
Answer:
Step-by-step explanation:
Putting values into the equation
14(1) - 4 - 2(4)
14 - 4 - 8
10 - 8 = 2
Which graph does not represent a function
Answer:
Graph D
Step-by-step explanation:
it does not pass the linear test to qualify as a function
Kacey rode her bicycle 227 miles in 7 hours. How many miles did kacey travel per hour?
Answer:
39
Step-by-step explanation:
Answer:
32.4825
hope this helped :)
x-(x(x-y to the power of 3)) ; use x=9 and y=1
Answer:
-4599
Step-by-step explanation:
x-(x(x-y)^3) , x=9, y=1
=9-(9(9-1)^3)
=9-(9(8)^3)
=9-(9*512)
=9-4608
= -4599
The area of a rectangular painting is 5734cm^2
If the length of the painting is 94cm , what is its width?
Answer: 61cm
Step-by-step explanation:
So to work out this question you do 5734÷94 which would work out the with which is 61
61×94=5734
-5 = -2x + 27 - 3x this has to be 20 characters so ignore this lollllll
Answer:
6 2/5=x
Step-by-step explanation:
ILL MARK BRAINLIST IF YOU GET IT RIGHT .which expression is equivalent to s - t?
Answer:
s(6)×t(6)
hope this helps
Express the following number as a decimal:
2 x 10^-6
Answer:
0.000002
Step-by-step explanation:
2* 10^-6
is the same as
2 * 0.000001
which is
0.000002
Answer:
The answer is: 0.000002
Step-by-step explanation:
Have a great day!