It would take 3.625 gallons of gasoline to fill a 14.5-gallon tank that is already 3/4 full.
Explanation:The question asks how many gallons of gasoline are needed to fill a 14.5-gallon tank that is already 3/4 full. To find the amount needed to fill the tank, we first determine how much gasoline is currently in the tank by multiplying 14.5 gallons by 3/4:
14.5 gallons × 3/4 = 10.875 gallons
This means that there are 10.875 gallons of gasoline in the tank at the moment. To find out how much more gasoline is needed to fill the tank, we subtract this amount from the tank's total capacity:
14.5 gallons - 10.875 gallons = 3.625 gallons
Therefore, it would take 3.625 gallons of gasoline to fill the tank.
I don't get how to do this please help
the answer is D
the exponent is 8.869 where the 9 is 9/1000, the 6 is 6/100 and the 8 to the right od the decimal point is 8/10
Mike bought 4 new baseball trading cards to add to his collection. the next day his dog ate half of his collection. there are now only 42 cards left. how many cards did mike start with
The office manager ordered145 packs of printer paper. Based on average daily use, she knows that the paper will last 65 days. What graph represents this situation? How many packs of printer paper should the manager expect to have after 25 days?
For which value of k will the roots of the equation 2x^2-5x+k=0 be real and rational numbers
25/8 is the value of k will the roots of the equation 2x^2-5x+k=0 be real and rational numbers
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
We need to find the value of k will the roots of the equation 2x²-5x+k=0 be real and rational numbers.
A quadratic equation has real roots when the discriminant is positive or zero (not negative).
b²-4ac≥0
b=-5, a=2, c=k
(-5)²-4((2.k)≥0
25-8k≥0
25≥8k
Divide both sides by 8
25/8≥k
k≤25/8
Hence, 25/8 is the value of k will the roots of the equation 2x^2-5x+k=0 be real and rational numbers
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Stan, a local delivery driver is paid $3.50 per mile driven plus a daily amount of $75. On Monday he is assigned a route that is 30 miles longer. How much is he being paid for that day? Independent and dependent variables?
If two angles of a triangle are complementary, then the triangle must be
please help me
An irregular polygon is shown below:
The area of the irregular polygon is ____ square units.
Answer:
26
Step-by-step explanation:
well we see that it is at its longest is 9, and the tallest is four
we have two missing sides...
so for the top left on long, it is 5
the full length is 9, and we have a 4 on the top, so we have 5 left, the top right line is 5
the one on the left side is two, because the middle line is a 2, and the full items height is 4.
4x2=8
2x2=4
5+9=14
8+4=12
14+12=26
Find the total amount in the compound interest account.
$1740 is compounded daily at a rate of 12% for 5 years. Let 1 yearequals=365 days.
=$
Triangle STU has been reflected over line m to form triangle S'T'U'. what is the value of y
At one point on the trip, the miles are recorded as 15,121 when the gas tank is 75% full. Use a ratio equation to determine the miles per gallon the sedan averages. Round your answer to the nearest whole number.
The most common size of a sedan tank is 18.5 gallons. So if it is 75% full, it contains 13.875 gallons of gas. If it recorded a mileage of 15,121 miles, mileage per gallon, therefore, is 1090 rounded off to the nearest whole number.
Given: Gas full tank of a sedan – 18.5 gallons
75% full = 13.875 gallons
Mileage using 13.875 gallons of fuel = 15,121 miles
The mileage per gallon computation using the ratio equation:
Ratio is 15121:13.875 or
X/1= 15121/13.875
13.875x = 15121
X = 15121/13.875
X =1089.80 or 1090 miles per gallon (rounded off)
butch, harry, and nicky are playing a game. Harry has half as many points is butch. Nicky has 5 fewer points than Harry. Together, the three players have 31 points. How many points does Harry have?
To support a shelf, the diameter of a bolt can be measured anywhere from 0.2 cm less than 1.5 cm to 0.2 greater than 1.5 cm. Which graph represents the possible measures of the diameter of the bolt
Answer:
The answer is A.
Step-by-step explanation:
We use filled in dots because it can be anything .2 and less or, .2 or more.
The seventh grade math classes are going on a field trip. the field trip will cost $7 per student. write an expression to find the cost of the field trip for s students. what is the total cost if 26 students go on the trip?
7s is the expression to find the cost of the field trip for s students and 182 is the total cost if 26 students go on the trip
What is Expression?An expression is combination of variables, numbers and operators.
Given,
The seventh grade math classes are going on a field trip.
the field trip will cost $7 per student.
Given s is number of students.
7s is the expression to find the cost of the field trip for s students.
When number of students are twenty six 26, i.e s=26
Total cost=7×26
seven times of twenty six
182
Hence 7s is the expression to find the cost of the field trip for s students and 182 is the total cost if 26 students go on the trip
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what is 4x-9=k solve for the x
A movie theater sells student tickets for $5 and adult tickets for $10. On Saturday night, 2,500 people go to the theater and ticket sales total $18,000. How many adults and children went to the theater on Saturday night? Which solution is reasonable? A) 2000 students and 1000 adults B) 1100 adults and 1400 students C) 3000 students and 0 adults D) 500 students and 1500 adults
The reasonable solution is B) 1100 adults and 1400 students, as it satisfies both attendance and revenue criteria.
Consider a movie theater that sells student tickets for $5 and adult tickets for $10. On a Saturday night, 2,500 people attended the theater, and the total ticket sales amounted to $18,000. The goal is to determine the number of adults and students who attended, with multiple choices provided:
We can set up two equations to represent the information:
The total number of people who attended: S + A = 2500
The total ticket sales amount: 5S + 10A = 18000
Solving this system of equations gives the correct solution:
B) 1100 adults and 1400 students.
This solution satisfies both equations (S + A = 2500 and 5S + 10A = 18000). It is reasonable as it accounts for both students and adults attending, and the total revenue aligns with the given information. The number of students (1400) and adults (1100) adds up to the total attendance of 2500.
What is the meaning of life? What makes this world so great? Is there something to look forward to in the future?
The declaration opens with a rational statement of its purpose. in a document with such radical intent, its is not surprising that supporting details often use emotionally laden language.Find at least 5 details in the document that use loaded words to cite factual support . What emotions are revealed in the use of charged language ?
The document uses emotionally loaded language to support its claims. This creates a strong emotional impact on readers and helps persuade them.
Explanation:When analyzing a document, it is important to pay attention to emotionally loaded language used as factual support. Here are five details in the document that use loaded words:
Quoting from interviews with government workers and bystanders who were hiding behind locked doors and had no police protection, appealing to the emotion of fear.Recreating images with vivid descriptions and concrete language of lone officers overwhelmed by crowds of people and beaten, appealing to the emotions of fear and empathy.Using nonaggressive language to address opposing views, showing empathy and attempting to convince others to support the author's position.Adhering to descriptive diction and employing sensory detail, creating a rhetorical effect.Refuting counterclaims and appealing to readers' logic and emotions, demonstrating fairness and advanced skill at persuasion.The use of emotionally charged language reveals the emotions of fear, empathy, conviction, and persuasion in the document.
Solve for PQ 4x+19=2x+32
angle of elevation and depression worksheet
What are the coordinates for the x and y intercepts of the function 4y - 2x = 24?
What three consecutive integers have a sum of 252?
252/3 = 84
84-1 = 83
84+1=85
83 +84 +85 = 252
the numbers are 83, 84, 85
Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use: Step 1: Choose a point on the line, such as (2, 5). Step 2: Choose another point on the line, such as (1, 3). Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is . Step 4: Substitute those values into the point-slope form. y – y1 = m(x – x1) y – 3 = (x – 1) Which of Talia’s steps is incorrect? Step 1 is incorrect because it uses a point that is not on the line. Step 2 is incorrect because it uses a point that is not on the line. Step 3 is incorrect because it shows an incorrect ratio for the slope. Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.
Answer:
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step-by-step explanation:
Eighteen cement squares cover a patio with an area of 40.5m^2. What is the side length of one of the squares
The side length of each of the cement squares is 1.5m. This is calculated by dividing the total area by the number of squares to find the area of each square, and then taking the square root to find the side length.
Explanation:To solve this question, we need to first understand that the total area of the patio equals the sum of the areas of each individual cement square. There are eighteen squares, and the total area is 40.5 square meters. This means that the area of one cement square can be acquired by dividing the total area by the quantity of the squares.
So, the calculation would be 40.5m² / 18, giving us an area of 2.25m² for each square.
Now, since these are squares and all sides of a square are equal, their area is represented by the square of one side length. Therefore, to get the length of one side, we extract the square root of the area.
The calculation is √2.25, which equals 1.5. So, the side length of one of the cement squares is 1.5m.
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A line passes through the point (3,2) and (6,2) a write an equation for the line in point-slope form rewrite the equation in standard form usung integers
Find two numbers whose product is 20 and whose sum is 12
The numbers are 10 and 2 if the product is 20 and whose sum is 12 after making the two equations.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The product of two numbers is 20 and whose sum is 12
Let the numbers are x and y
xy = 20
x + y = 12
y = 12 - x
x(12 - x) = 20
x² - 12x + 20 = 0
After solving the above quadratic equation, we get:
x = 10, 2
y = 2, 10
Thus, the numbers are 10 and 2 if the product is 20 and whose sum is 12 after making the two equations.
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Please help ;-;!!
Math Algebra
(Image)
Help with finding value of x?
Find the product.
-mnp(3m - 5n + 7p)
-3m + 5n^2+ 7p^2
3mnp - 5mnp + 7mnp
-3mnp + 5mnp - 7mnp
-3m^2np + 5mn^2p - 7mnp^2
What number gives you the same result when multiplied by 6 as it does when 6 is added to it?
Part A: Amir rented a scooter at $43 for 3 hours. If he rents the same scooter for 8 hours, he has to pay a total rent of $113.
Write an equation in the standard form to represent the total rent (y) that Amir has to pay for renting the scooter for x hours. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
Answer:
A: r-14x-1=0
B: r(x)=14x+1
C: x= left to right axis
y= up to down axis
domain= x,0
range= r,0
slope= 14
x-intercept= r=0 ==> 0=14x+1 ==>x=(-1/14,0)
r-intercept= x=0 ==> r=14(0)+1= (0,1)
make sure to right it in your own.