Answer: The equation would be W = 500 + 30T
Step-by-step explanation: The variables given are, W which represents the amount of water, and T which represents the time in minutes that water has been added. Already there is 500 liters in the water tank to start with, that means as you begin to add water, its simply an addition to the already existing 500 liters, (that is + 500).
Also you are told that you can add water at a rate of 30 liters per minute, that is you have one T for every 30 (or simply put 30T).
Therefore the equation that correctly relates W to T is shown as;
W = 30T + 500
With this, your table of values would now be shown as;
x = 1, y =530
x= 2, y = 560
x = 3, y = 590
x = 4, y = 620
x = 5, y= 650
Then your graph is as shown in the image attached.
Which equation is true for all values of x7
The equation
is true
4(x - 3) = 0
4x-3=3
4x-3= 4x + 3
4(* - 3) = 4x - 12
for all values of x.
The equation that is true for all value is : 4(x - 3) = 0
What do you mean by Linear equation ?A linear equation is one that has the following form of expression:
y = mx + b
If m is the line's slope, b is the y-intercept, x and y are variables. In this equation, m indicates the steepness of the line and b the point at which it crosses the y-axis to show a straight line on a graph.
The equation that is true for all values of x is:
4(x - 3) = 0
To see why, we can simplify the equation as follows:
4(x - 3) = 0
4x - 12 = 0 (distributing the 4)
4x = 12 (adding 12 to both sides)
x = 3 (dividing both sides by 4)
So we see that the equation simplifies to 4 times the quantity (x - 3), which is equal to 0 if and only if x = 3. Therefore, the equation is true for all values of x if and only if x = 3.
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¿Qué es y cómo se forman un enlace químico?
Do you think Apple will eventually meet their goal of becoming a replacement for a physical wallet? Why or why not?
Answer:
No
Step-by-step explanation:
This would be more of an opinion and not a fact, but I see it as very unlikely that they will be able to accomplish this goal. Mainly due to human psychology. Most individuals want to be able to physically hold their money as well as being able to physically exchange their money for the goods that they need since physical cash is accepted worldwide. Another main reason is that individual's want to know that their money is theirs and that no bank or corporation can withhold their hard earned cash.
1. The ratio of faculty members to students at a college is 1:18. If there are 16000 students, how many faculty members are there? Round to the nearest whole number
Therefore, there are approximately 889 faculty members at the college.
What is ratio?Ratio is a mathematical concept that expresses the relationship between two or more quantities or values. It is a way to compare the size of two numbers, by dividing one number by the other. The result of this division is a numerical expression of the relative size of the two numbers.
Ratios are often expressed as a fraction or a colon (:) between the two numbers. For example, if there are 4 red balls and 6 blue balls in a bag, the ratio of red balls to blue balls can be expressed as 4/6 or 4:6. This means that for every 4 red balls in the bag, there are 6 blue balls.
Ratios are commonly used in various fields, such as finance, statistics, and science, to compare different values and make meaningful interpretations.
To solve this problem, we need to use the ratio between faculty members and students, which is given as 1:18. This means that for every one faculty member, there are 18 students.
If there are 16000 students in the college, we can find the number of faculty members by dividing the number of students by the ratio of students to faculty members:
Number of faculty members = 16000 / 18
This gives us 888.888, but since we are asked to round to the nearest whole number, we should round up to 889. Therefore, there are approximately 889 faculty members at the college.
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The volume of a rectangular prism is 5058
50
5
8
cubic inches.
The dimensions are given below.
What is the missing value in the table?
The missing value in the table include the following: B. 4 1/2 in.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = L × W × H
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;
50 5/8 = 5 × W × 2 1/4
Width, W = 4 1/2 inches.
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Complete Question:
The volume of a rectangular prism is 50 5/8 cubic inches.
The dimensions are given below.
What is the missing value in the table?
Length Width Height
5 in. 214 in.
A. 79in.
B. 412in.
C. 134in.
D. 1018in.
i have like 2 minutes left can u help
Answer:
B
Step-by-step explanation:slope= (13-9)/(3-1) = 4/2 = 2
y-intercept= 9 - (2)(1) = 7
There are 11 apples in a basket. 5 of these apples are green.the rest of them are red. What are the ratio of all apples to red apples? What is the ratio of green apples to red apples?
Answer:
11/6 or 1 5/6
Step-by-step explanation:
11 = 5 = 6
11/6
simplified it is
1 5/6
A basketball team scored 15 points in the first quarter. The second quarter, they scored twice as many points. In the third quarter, they scored a third of the points scored in the first quarter. In the last quarter, they scored as many points as they did in the second and third quarters all together. How many points did they score in total?
Answer:
It’it’s either 124 or 110
Step-by-step explanation:
Find the percent of change.
From 25 teachers to 30 teachers.
Answer:
To calculate the percent change of two numbers, such as 25 to 30, you use the Percent Change Formula, where a is the start value and b is the end value.
(b - a)/a × 100
When we insert a = 25 and b = 30 in the formula above, then we get the following that we can simplify and solve to get the percent change from 25 to 30.
(30 - 25)/25 × 100
5/25 × 100
Change = 20%
Step-by-step explanation:
What’s the answer to the questions below? Plsss help
According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.
How to identify parallel lines?To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:
ADCFOn the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.
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In a group of 20 students, 50% have blue eyes and 40% have brown eyes. How many students have brown eyes? *
Your answer
Answer: 8 students have brown eyes
Step-by-step explanation:
Unit rate: 5 % = 1 student.
5 x 10 = 50%. 10 students have blue eyes.
5 x 8 = 40%. 8 students have brown eyes.
In conclusion, 8 students have brown eyes.
Hope this helps!
Answer:
8
Step-by-step explanation:
50% of students have blue eyes, so that is 10
40% of students have brown eyes, so that is 8
the rest 10% is another color, which is 2
10+8+2=20
An angle measures 2.4° less than
the measure of its complementary
angle. What is the measure of
each angle?
answer
43.8 & 46.2
steps
x = (90 - x) - 2.4
x = 87.6 - x
2x = 87.6
x = 87.6 / 2
x = 43.8
90 - 43.8 = 46.2
Need answer ASAP!!! Please.
Find the circumference and area of the circle. Express answers in terms of x and then round to the nearest hundredth.
Find the circumference in terms of
Step-by-step explanation:
given the diameter of the circle = 16 yd
therefore the circumference of the circle is
π×d = 16π yd
or
= 16×3.14
= 50.24 yd
Answer:
C = 50.24yd
Step-by-step explanation:
C = pi*Diameter
C = 3.14*16yd
C = 50.24yd
Which question is statistical? Responses What number of feet is equivalent to three miles? What number of feet is equivalent to three miles? How many miles did your family drive last week? How many miles did your family drive last week? How many miles are between the library and the post office? How many miles are between the library and the post office? How many miles does each member of the biking club ride each week?
The question that is a statistical question is "How many miles did your family drive last week?"
Which question is a statistical question?A statistical question is a question that requires collecting and analyzing data to answer.
It involves investigating a specific variable or variables and determining patterns, trends, or relationships within the data.
The question "How many miles did your family drive last week?" is statistical, as it involves collecting and analyzing data related to a specific variable (miles driven) over a certain period of time (last week).
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A 3-column table with 4 rows. The first column is labeled Currency with entries Canadian dollar, Euro, Japanese yen, Indian rupee. The second column is labeled U S D /1 Unit and entries 0.97071, 1.35261, 0.01007, 0.01594. The third column is labeled Units/1 U S D and entries 1.03069, 0.73935, 99.90487, 62.72053.
Raj is visiting the United States and needs to convert 2,000 rupees to US dollars.
Raj will have $
Answer:
the answer was 31.88USD
Help The equation 4x − 4 = 2x represents two electric scooters traveling in opposite directions, where x represents the distance in miles between the scooters. What is the distance, in miles, between the scooters?
*
1 point
x = 0.5
x = 2
x = 4
x = 8
The distance in miles between the two electric scooters travelling in opposite direction is 2 miles.
What is an equation?An equation is a formula that proves the equality of two mathematical expressions in algebra and is the most commonly used formula. For example, in the expression 3x + 5 = 14 the two terms 3x + 5 and 14 are separated by the "equals" symbol.
What is distance?
The length or width in between two objects, points, lines, etc. Distance is the condition or fact that something or someone is physically apart.
Given 4x - 4 = 2x,
so 2x = 4
x = 2
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help with geometry question please
Answer:
23.5
Step-by-step explanation:
30.2-6.7=23.5
23.5+6.7=30.2
answers please formula
Answer:
-5
2
-125
-3
Step-by-step explanation:
5 + A = 0
Subtract 5 from both sides.
A = -5
-8/4 - B = -4
-2 - B = -4
B + 2 = 4
B = 2
C ÷ 25 = -5
C = -125
D × 13 = -39
D × 13/13 = -39/13
D = -3
2
Select all the correct answers.
HELP PLS! ASAP
Which expressions are equivalent to this exponential expression?
Answer:
A and C
Step-by-step explanation:
A parallelogram has an area of 316.35 square inches and a base of 18.5 inches. What is the height
Answer:
17.1
Step-by-step explanation:
h=A/b
h= 316.35/18.5
h=17.1
What is the value of 7(10 - 2^3) + 8 divided by 2
\(7(10-2^3)+8 \div 2 \\ \\ 7(10-8)+8 \div 2 \\ \\ 7(2)+8 \div 2 \\ \\ 7(2)+4 \\ \\ 14+4 \\ \\ \boxed{18}
\)
A mouse has made holes in opposite corners of a rectangular kitchen. The width of the
kitchen is 9 feet and the distance between the mouse's holes is 15 feet. What is the length of
the kitchen?
feet
Answer:
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Here is a list of numbers: 15 , 3 , 17 , 6 , 8 , 6 , 13 , 19 , 15 , 13 State the median.
I really need help with this question
The length of each side of the wood is 5 centimetres.
How to use quadratic equation to find the length of each side of the wood?Doug has 8 square pieces of wood. Each piece of wood have a side length of s cm. The total area of all 8 pieces of wood is 200 cm².
Hence, using quadratic equation let's find the length of each side of the wood.
Therefore,
8s² = 200
Hence,
8s² = 200
divide both sides of the equation by 8
s² = 200 / 8
s² = 25
s = √25
s = 5 centimetres
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Dontavious has a box of colored pencils. He uses 53 pencils and has 118 pencils left in the box. Write an equation showing how many pencils are in the box before he starts drawing.
53 + p = 118
118 + p = 53
p − 53 = 118
p = 118 − 53
An equation showing the number of pencils that are in the box before he starts drawing is p - 53 = 118.
We are given that:
Dontavious has a box of colored pencils.
Dontavious uses 53 pencils.
Pencils still left in the box = 118.
Let the total number of pencils in the box be p.
So, the equation representing the situation given will be:
p - 53 = 118
As from p pencils, 53 pencils have been used and 118 pencils still remain at the end.
Therefore, we get that, an equation showing the number of pencils that are in the box before he starts drawing is p - 53 = 118.
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Add. Write the sum in simplest form.
1 1/12 + 3 2/12 =
Answer:
4 1/4
Step-by-step explanation:
BRAINLIEST?!
PLEASE HELP
Solve the following system algebraically. y = x^2 + 11 and y = –12x
Answer:
x^2+12x=-11
Step-by-step explanation:
Answer:
(-1, 12) and (-11, 132)
Step-by-step explanation:
PLEASE HELP
Two projectiles are shot vertically upward at the same instant.
Projectile A's height in feet, f(t), is represented in the table, where t is the seconds since the projectile was shot off
Projectile B's height at any time t is modeled by the function
h (t)=-16t^2 +96t
How do the times at which the projectiles begin their descents compare?
SEE PHOTO
Projectile B begins its descent 1 seconds before Projectile A does.
What is y-intercept?In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).
By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:
y-intercept = (0, 44).
Maximum height = (4, 300).
When t = 0, the y-intercept of Projectile B can be calculated as follows;
h(t) = -16t² + 96t
h(0) = -16(0)² + 96(0)
h(0) = 0.
For the maximum height, we have:
h(t) = -16t² + 96t
h'(t) = -32t + 96
32t = 96
t = 96/32
t = 3
Difference in time = 4 - 3
Difference in time = 1 seconds.
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cos 55°
0.9735
True or false
Which category has the lowest joint frequency?
Students that are under the age of 15 and travel to school in a car has the lowest joint frequency.
What is Joint Frequency?Joint frequency are the frequencies of two values that occur jointly in a two way frequency table.
Number of students under age 15 who walk/bike = 152 - 65 = 87
Number of students of age 15 and above who walk/bike = 65
Total number of students who walk/bike = 152
Number of students under age 15 who take bus = 60
Number of students of age 15 and above who take bus = 110 - 60 = 50
Total students who take bus = 110
Number of students of age 15 and above who take car = 195 - (65 + 50)
= 80
Number of students under age 15 who take car = 100 - 80 = 20
Total number of students under age 15 = 362 - 195 = 167
Total number of students of age 15 and above = 195
Total number of students = 362
The lowest value is for the students under the age of 15 who take car.
Hence the lowest joint frequency is for the students under the age of 15 who take car.
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