We are given:
Ivanna's fish tank has 18 liters of water in it
She plans to add 5 liters per minute till the tank has 48 liters
We will proceed to solve for the possible number of minutes as shown below:
\(\begin{gathered} 18+5t\ge48 \\ \text{Subtract ''18'' from both sides, we have:} \\ 5t\ge48-18 \\ 5t\ge30 \\ \text{Divide both sides by ''5'', we have}\colon \\ t\ge\frac{30}{5} \\ t\ge6 \\ \end{gathered}\)Therefore, it would take at least 6 minutes for the tank to have at least 48 liters of water in it
Fill in this table as you work through the lesson. You may also use the glossary to help you.
Answer:
1. cosine
2. function
3. tangent
4. complementary
5. sine
6. cofunctions
please help, will give brainiest
Find the circumference
Answer:
25.12 m (or 25.13 m)
Step-by-step explanation:
Recall the formula for the circumference of a circle:
\(2\pi r\)
where r is the radius.
We are given that the radius is 4 m, so let's plug that into our formula:
\(2\pi r=\\2\pi *4=\\8\pi\)
\(\pi\) is approximately 3.14, so let's multiply 8 m by 3.14. We get:
25.12
So, the circumference is about 25.12 m.
(if you multiply by pi itself using a calculator, the answer is about 25.13 m)
what is the square root of 1.2, i also have another question
\(\sqrt{1.2}=\sqrt{6/5} =\frac{\sqrt{30}}{5}\)
To make a fruit punch recipe, combine 2 cups of pineapple juice with 4 cups of grape juice and 6 cups of apple juice.
Create a diagram or double number line to represent the quantities of each ingredient in this recipe.
Use your diagram to choose the correct sentence.
Group of answer choices
The ratio of pineapple juice to grape juice to apple juice is 2 : 6 : 4.
The ratio of grape juice to pineapple juice to apple juice is 2 : 4 : 6.
The ratio of grape juice to apple juice to pineapple juice is 6 : 2 : 4.
The ratio of apple juice to pineapple juice to grape juice is 6 : 2 : 4.
Answer:
The ratio of apple juice to pineapple juice to grape juice is 6 : 2 : 4.
Step-by-step explanation:
You can factor out all of the other answers due to the order of the Pineapple, Grape, and Apple juice in the answers. You need to ensure the #'s in the ratios align with that of the numbers for each of the juices.
Answer: it’s the last one (c)
solve pls brainliest
Answer:
38.8
Step-by-step explanation:
Because 6 is 5 and higher so it rounds up
Answer:
38.8
Step-by-step explanation:
in 38.765 the number 7 is in the tenths place so you if the number to the right of it is 5or bigger you turn the 7 into an 8
What are the values of x and y?
Answer:
its D hope this helps
Step-by-step explanation:
pls mark brainliest
If UW = 25 - 35 and UY = S, find the value
of s that makes quadrilateral VWXY a
parallelogram.
Answer:
s = 35 unitsStep-by-step explanation:
We know that:
Rectangle = ParallelogramUW = 2s - 35UY = sUW = UYSolution:
2s - 35 = s=> 2s - s = 35=> s = 35 unitsHence, the value of s must be 35 units so that the quadrilateral becomes a parallelogram.
Which point on the number line best represents
A Point A
B Point B
C Point C
D Point D
A
45°
B C
-3
?
2+
Answer:
A 45 the only reason why I choose number one because you said which point on the line on the bed response point a point b point c point d a 54 or whatever but yeah becauseFor his car Jason paid 91.48 per speacker for 3 speackers and 92.55 per tire for 5 tires with 8 100 bills . How much did Jason get in change ?
Answer:
1 speaker is $91.48
3 speakers = $91.48 × 3
= $274.44
1 tire is 9$2.55
5 tires = $92.55 × 5
= $462.75
8, 100 bills = $800
The cost for the 3 speakers and 5 tires = $274.44 + $462.75
= $737.19
Therefore, the change that Jason got was = $800 - $737.19
= $62.81
Find the sizes of unknow angles of this triangle
To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.
Which expression is represented by the model?
4x-3
4x+3
-4x-3
-4x+3
Answer:
4x-3 because there are four x boxes and three negative boxes
Step-by-step explanation:
got it right on edge 2021
WILL GIVE BRAINLIEST
The prism shown in the diagram has a volume of 39 units³.
What is the volume of the pyramid? Explain your reasoning.
The volume of the pyramid equals the one-third of the volume of the rectangular prism which is: 13 units³.
What is the Volume of a Rectangular Prism?The volume of a rectangular prism is calculated as: V = (length)(width)(height).
How to Find the Volume of a Pyramid?The volume of a pyramid is calculated as one-third of the product of its height, width, and length. Thus, the formula is given as: volume = 1/3(length)(width)(height)..
How do the Volumes of a Rectangular Prism and Pyramid with the Same Dimensions Relate?If the height, width, and length of a pyramid are the same as the height, width, and length of a rectangular prism, then:
Volume of Pyramid = 1/3(volume of rectangular prism)
Volume of Pyramid = 1/3(length)(width)(height).
Given the following:
Dimensions of the pyramid and the rectangular prism are the same.
Volume of the rectangular prism = 39 units³.
Therefore, since the volume of pyramid = 1/3(volume of rectangular prism), we would have the following:
The volume of the pyramid = 1/3(39)
The volume of the pyramid = 13 units³
Therefore, the volume of the pyramid equals the one-third of the volume of the rectangular prism which is: 13 units³.
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The radius of a circle is 17 centimeters. What is the circle's circumference?
Answer:
The circle's circumference is approximately 106.81 centimeters.
Explanation:
The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the circle.
So, for a circle with a radius of 17 centimeters, its circumference can be found by:
C = 2πr
C = 2 x 3.14 x 17
C ≈ 106.81 cm
Therefore, the circumference of the circle is approximately 106.81 centimeters.
You are treating two of your friends to the movies tonight. Your parent gives you $70.
Tickets are $7 each. At the candy counter, you are buying snacks and drinks for your
friends as they find seats. Snacks are $2 each, and drinks are $2.25. You are trying to
decide what combination of snacks and drinks are possible given the money remaining.
You can only carry 4 drinks on a tray by yourself.
a. Write a system of inequalities for this situation, using x for the number of
snacks and y for bottles of water purchased.
b. Graph the system and find the vertices.
c. Indicate on the graph what combinations of snacks and drinks are possible.
Explain your reasoning in-depth.
d. Does every point within the feasible region represent a valid solution in this
context? Why or why not?
e. Denote one combination that is possible and one that is not. Explain your
reasoning.
f. Prove each of your answers to part (e) algebraically.
Please tell me each one of these answers! Thx
a. The system of inequalities for this situation can be represented as:
x (number of snacks) ≥ 0
y (number of bottles of water) ≥ 0
2x + 2.25y ≤ 70 (total amount of money remaining)
y ≤ 4 (maximum number of bottles of water that can be carried on a tray)
7x + 7y ≤ 70 (total cost of tickets and snacks/drinks cannot exceed the amount given)
b. To graph the system, we can start by plotting the inequality 2x + 2.25y ≤ 70. This represents all the points that satisfy the inequality and forms a boundary line for the feasible region. The line will be a boundary line because it is less than or equal to 70.
We can plot the inequality y ≤ 4 as a horizontal line at y = 4. This represents the maximum number of bottles of water that can be carried.
Finally, we can plot the inequality 7x + 7y ≤ 70 as a boundary line. This represents the total cost of tickets and snacks/drinks that cannot exceed the amount given.
The feasible region will be the area between these lines, above the x-axis and y-axis, and below the line y=4.
The vertices of this feasible region will be the intersection points of the three lines, which are (10,0), (0,10) and (8,4)
c. The combinations of snacks and drinks that are possible are the ones that fall within the feasible region. Any point within the feasible region represents a valid solution in this context, because it satisfies all the constraints and is within the budget.
d. Every point within the feasible region represents a valid solution in this context, because it satisfies all the constraints and is within the budget.
e. One possible combination is (8,4) which is 8 snacks and 4 bottles of water, this combination is possible because it's within the feasible region and satisfies all the constraints. One combination that is not possible is (12,3), it's not possible because it's not within the feasible region and doesn't satisfy the constraint y ≤ 4.
f. To prove that the combination (8,4) is possible, we substitute these values into the system of inequalities:
2(8) + 2.25(4) = 35 ≤ 70 (total amount of money remaining)
4 ≤ 4 (maximum number of bottles of water that can be carried)
7(8) + 7(4) = 56 ≤ 70 (total cost of tickets and snacks/drinks cannot exceed the amount given)
To prove that the combination (12,3) is not possible, we substitute these values into the system of inequalities:
2(12) + 2.25(3) = 30.5 > 70 (total amount of money remaining)
3 > 4 (maximum number of bottles of water that can be carried)
7(12) + 7(3) = 63 > 70 (total cost of tickets and snacks/drinks cannot exceed the amount given)
As all the inequalities are not satisfied, the combination (12,3) is not possible.
What is system of inequalities?A system of inequalities is a set of two or more inequalities that must be satisfied simultaneously. It is a way to represent a set of constraints using mathematical equations. These constraints can be related to a problem in a specific area, such as finance, engineering, or operations research. The solution set of a system of inequalities is the common set of solutions that satisfy all the inequalities in the system. The solutions can be represented graphically as a region in a coordinate plane called the feasible region, which is the set of all possible solutions.
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whats the value of a
The value of a in the equation is 4
How to determine the value of a?The quadratic equation is given as
g(x) = ax² - 12x + 9
Start by differentiating the equation
So, we have the following representation
g'(x) = 2ax - 12
Next, we set the differentiated equation to 0
So, we have
2ax - 12 = 0
Divide through by 2
ax = 6
Make a, the subject
a = 6/x
The graph intersect the x-axis at the vertex
So, we solve graphically
From the graph, we have x = 1.5
This gives
a = 6/1.5
Evaluate
a = 4
Hence, the value is 4
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HELP HOW DO I FIND THE VALUE OF X
9514 1404 393
Answer:
7. 118
8. 27
Step-by-step explanation:
Make use of the fact that the sum of angles in a triangle is always 180°.
__
7. 33 + 29 + x = 180 . . . . . numbers in degrees
x = 180 -62 . . . . . . . . . . . subtract 62 from both sides of the equation
x = 118
__
8. 21 +x + 132 = 180
x = 180 -153 . . . . . . . subtract 153
x = 27
When graphing the inequality y s 2x - 4, the boundary line needs to be graphed first. Which graph correctly shows the boundary line?
The graph that correctly shows the boundary line for y ≤ 2x − 4, is B. Graph B.
How to find the graph ?The inequality y ≤ 2x − 4, shows that the y - intercept is - 4. What this means is that the boundary line must pass through ( 0, - 4 ). As Graphs C and D do not cross ( 0, - 4 ), neither of them can be the boundary line.
Also, when representing an inequality on a graph, the signs of ≤ and ≥ are presented with a solid line. > and < are the ones presented with a broken line. This means that Graph A cannot the boundary line for the inequality.
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Paul has $78 in the bank and saves $30 each week. What is the initial value? Be sure to use negative signs if needed.
Answer:
The initial value is $78
Step-by-step explanation:
Given
\(Base\ Amount = \$78\)
\(Additional = \$30\) (weekly)
Required
Determine the initial value
The initial value is the amount he has in its bank account before making his weekly savings.
From the question, we have that his initial balance is $78.
Hence, the initial value is $78
However, his weekly balance can be expressed as:
\(Balance = Base\ Amount + Additional * number\ of weeks\)
Represent number of weeks with x; So, we have:
\(Balance = 78 + 30 * x\)
\(Balance = 78 + 30 x\)
A contractor drew this diagram to find the area of a right-triangular shaped patio.
The length of railing b is 104 feet. The measure of angle A is 28°.
What is the area of the patio rounded to the nearest square foot?
Answer:
Step-by-step explanation:
sin28=0,27
cos28=0.88
so b=0.88c
and a =0.27c and from here is easy
Which job would you rather work at and why?
Job A: 40 hours a week at an hourly rate of $12.75
Job B: 43 hours a week at a rate of $12.00 an hour?
Answer:
Job A, less hours and only a difference of money in Job B is 6 dollars.
Step-by-step explanation:
Job A: I multiplied 40 x 12.75 = $510
Job B: Multiple 43 x 12.00 = $516
Job A: Work less, money difference to Job B is 6 dollars
Job B: Work longer, 6 dollar gain difference from job A
What is the meaning of conditionally promoted in school
A student said that since –9 is less than 4, then |–9| is less than |4|. Is the student correct? Explain why or why not.
Answer:
The student is incorrect because I I or absolute value would make the -9 to positive 9.
Step-by-step explanation:
-9<4
on a numberline
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4
but the absolute value of -9 (or) |–9|
is actually positive 9
9>4
on a number line
4 5 6 7 8 9
an=26-6n find the 5th term in the sequence
5th term of the sequence is -4
To find the 5th term in the sequence, we need to substitute n = 5 into the expression given
\(a_5\) = 26- 6( 5)
\(a_5\) = 26- 30
\(a_5\) = -4
The formula given, an = 26- 6n, represents an computation sequence with a common difference of-6.
This means that each term in the sequence is attained by obtain 6 from the former term.
It's important to note that the formula is written in general form, meaning that it can be used to find any term in the sequence by simply plugging in the matching value of n.
In this case, we were asked to find the 5th term, so we substituted n = 5 into the formula to get a5 = -4.
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The graphs of f(x)=-10x-1 and g(x)=2^x are shown. Create a new function h(x) by reflecting f(x) over the x-axis. How many times do the graphs of h(x) and g(x) intersect?
The graphs of f(x) = -10x-1 and g(x) = \(2^{x}\). A new function h(x) by reflecting f(x) over the x-axis thus the graphs of h(x) and g(x) intersect twice.
To reflect f(x) over the x-axis, simply change the sign of the function
h(x) = -f(x) = -(-10x-1) = 10x+1
Now we have the functions g(x) = \(2^{x}\) and h(x) = 10x+1. To find where these functions intersect, we can set them equal to each other and solve for x
10x + 1 = \(2^{x}\)
We can't solve this equation algebraically, so we'll need to use numerical methods. One way to do this is to graph the two functions and look for their intersection points.
Here is a table of values for g(x) and h(x) at several x-values
x g(x) h(x)
-2 1/4 -19
-1 1/2 -9
0 1 1
1 2 11
2 4 21
From the table, we can see that the graphs intersect twice, once between x = -2 and x = -1, and again between x = 1 and x = 2.
Therefore, the graphs of h(x) and g(x) intersect twice.
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Kate recorded the number of minutes she read each day for the last two weeks in the table. Week 1 Week 2 Sunday 85 55 Monday 35 50 Tuesday 50 45 Wednesday 60 45 Thursday 30 40 Friday 35 30 Saturday 50 50 How can Kate figure out which week had the larger range in minutes read?
Answer:
By arranging the data set.
Week one has the highest range of 55 minutes
Step-by-step explanation:
Range = highest data minus lowest data.
So lers arrange our data and determine the range of each week
Week 1
Sunday 85, monday 35, Tuesday 50, Wednesday 60, Thursday 30, Friday 35, Saturday 50
Acsending order
=30, 35, 35,50,50 ,60,85
Range = 85-30 = 55
Week 2
Sunday 55 ,Monday 50, Tuesday 45 Wednesday 45 ,Thursday 40 ,Friday 30 ,Saturday 50
Acsending order
= 30,40,45,45,50,50,55,
Range=55-30 = 25
Week one has the highest range of 55 minutes
Answer:
A) 1. Order the minutes for each week.
2. Find the range for each week.
3. Compare the ranges.
Week 1 had the larger range in minutes.
Step-by-step explanation:
edg2020
PLEASE HELP EASY!!!!!!
Based on the information, we can infer that the salary a worker earns depends on the hourly wage they earn. In this case we will have to multiply the value of each hour by the number of hours worked. Additionally, I would agree to have a higher minimum wage to benefit workers.
What salary will workers have in each salary?Based on the information in the graph, we can infer that workers will have wages of $5.2, $6.0, and $6.6. According to the above, the salary varies depending on the number of hours.
On the other hand, I believe that you would agree to a salary increase because this would benefit workers who would be better paid for each hour of work.
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Positive numbers will always have a higher absolute value than negative numbers. true or false
False
The absolute value of a positive number is the same as a negative number:
l7 l = 7
l-7l= 7
pls help me find the awnser
Answer:
I have no clue thats why is got this app
Answer:
57 units³
Step-by-step explanation:
Volume = length • width • height
Fill in the numbers:
V = 3 4/5 • 2 1/2 • 6
I am making them into improper fractions to make it easier:
V = 19/5 • 5/2 • 6
Multiplying the length and the width:
V = 95/10 • 6
Multiplying the height in:
V = 57
Given the equation of a circle below, determine the center and radius of the circle.
(x+5)^2+y^2=36
9514 1404 393
Answer:
center: (-5, 0)radius: 6Step-by-step explanation:
Compare the given equation to the standard form equation for a circle with center (h, k) and radius r.
(x -h)^2 +(y -k)^2 = r^2
You see that ...
-h = +5 ⇒ h = -5
-k = 0 ⇒ k = 0
r^2 = 36 ⇒ r = √36 = 6
The center is (h, k) = (-5, 0), and the radius is r = 6.