Find all possible values of each expression. Suppose 3
The inequality that describes the possible values of the expression is:
[tex]0 < \frac{b}{3a} - \frac{a}{3b} < \frac{9}{60}[/tex]
What is the lower bound of values of the expression?The expression is given by:
[tex]\frac{b}{3a} - \frac{a}{3b}[/tex]
To find the lower bound, we try to see when the expression is negative, hence:
[tex]\frac{b}{3a} - \frac{a}{3b} < 0[/tex]
[tex]\frac{b}{3a} < \frac{a}{3b}[/tex]
Applying cross multiplication and simplifying the 3's, we have that:
[tex]b^2 < a^2[/tex]
From the bounds given, this expression will never be true, at most they can be equal, when:
a = b = 4.
Hence the lower bound of values of the expression is of 0.
What is the upper bound of values of the expression?The expression is a subtraction, hence we want to maximize the first term and minimize the second.
Considering that the first term is direct proportional to b and inverse to a, and the second vice versa, we want to:
Maximize b, hence b = 5.Minimize a, hence a = 4.Then:
[tex]\frac{b}{3a} - \frac{a}{3b} = \frac{5}{12} - \frac{4}{15} = \frac{25 - 16}{60} = \frac{9}{60}[/tex]
Hence the bounds are:
[tex]0 < \frac{b}{3a} - \frac{a}{3b} < \frac{9}{60}[/tex]
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I am very stuck on theis question. What is 4 times 4,000
Answer:
16000
Step-by-step explanation:
4*4 is 16 4*0 is 0 4*0
Answer:16000
Step-by-step explanation: basic calculator math
I'm big-brained lol :) have fun besties ace the quizzes!!
PLEASE HELP ME!!!!!Invasive species spread to new environments by all of the following ways except through
A. Cargo ships
B. Wood products
C. Pet trade
D. Quarantine
E. Ornamental plants
It takes Sara 1/2 day to make a birdhouse. How much of the birdhouse will be built after 2/5 day?
Answer:
80%
Step-by-step explanation:
Dennis is playing a game that uses a number cube. The sides of the cube are labeled from 1 to 6. Dennis wants to roll a 2 or a 3. He rolls the number cube one time.
What is the probability that he will roll a 2 or a 3?
A. 1/2
B. 1/3
C. 2/3
D. 1/6
Please help me!
* You see a pair of jeans on sale for 10% off the regular price of $50. You have a credit card with a 1396 interest rate. If you buy the jeans today with the credit card and pay them off after two months, are you paying more or less than the regular $50 price for them? Please explain your decision and SHOW your calculations.
Write the domain and range of each function using interval notation p
I need help please solve for x given that TSU ~ FSG
Answer: X = 4
Step-by-step explanation:
TS/FS = SU/SG
3x-2/5 = 6/3
3(3x-2) = 6* 5
9x - 6 = 30
9x -6 + 6 = 30 + 6
9x = 36
x = 36/ 9
x = 4
Answer:
[tex]x = \frac{9}{6}[/tex]
Step-by-step explanation:
The first step is figuring out what the scale factor is
since [tex]2 \overline{\rm US} = \overline{\rm GS}[/tex] we know the scale factor is two
The second step is setting up the equation then solving the equation
[tex]2(3x -5) = 5[/tex]
[tex]6x - 4 = 5[/tex]
[tex]6x = 9[/tex]
[tex]x = \frac{9}{6}[/tex]
Determine whether the lines are parallel, perpendicular, or neither. Justify your answer. y = 2x - 8
Y = 1/2x + 6
⚠️if you answer correctly I will give you brainlyest⚠️
Answer:
They are parallel, they will never intersect.
Step-by-step explanation:
Notice that they have exactly the same steepness, which means their slopes are identical. The only difference between the two lines is the y-intercept. If we shifted one line vertically toward the y-intercept of the other, they would become the same line.
Help asap i will give brainliest
Answer:
12
Step-by-step explanation:
(4*6)/2=12
Answer:
24 units
Step-by-step explanation:
multiply the 2 sides you'll get 24 units
Write the equation of the line in point-slope form y - y1 = m ( x - x1). From the two given points ( -2, 5 ) and ( 3, -1 ). (hint: find m and the point)
Answer:
y-5=-6/5(x+2)
Step-by-step explanation:
m=(5+1)/(-2-3)
m=6/-5
Help :)
John, Kris, and Monica are playing catch with a frisbee. They are standing in a triangle, as shown below.
Answer:what are we supposed to answer give brainl and I’ll come back
Step-by-step explanation:
A box of juice has 5 cups of pineapple juice and 2 cups of orange juice. Write the ratio of cups of pineapple juice to the number of cups of orange juice. WRITE THE RATIO IN THREE DIFFERENT WAYS. *
If anyone help me with my entire test I’ll mark you brainliest
Find the value of h in the parallelogram below.
The correct answer is h equals 5
Renee’s workout consists of biking and running. While biking she burns 10 calories per minute, and while running she burns 15 calories per minute. Renee wants to burn at least 900 calories each day.
Let x be the number of minutes she spends biking and let y be the number of minutes she spends running. Write an inequality that models this situation.
Answer:
10x + 15y ≥ 900
Step-by-step explanation:
She burns 10 calories per minute while biking and 15 calories per minute while running. For each exercise, the number of minutes multiplied by the number of calories burned per minute will give the total number of calories burned.
Calories burned while biking (10x) plus (+) calories burned while running (15y) is at least 900 (≥900).
The inequality that models this situation is therefore
10x+15y≥900
The required inequality that models the given situation is 10x + 15y ≥ 900.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
While biking, she burns 10 calories per minute, and 15 calories per minute while running. The total number of calories burned for each exercise is the number of minutes multiplied by the number of calories burned per minute.
Let x be the number of minutes she spends biking and let y be the number of minutes she spends running.
Calories burned while biking (10x) plus (+) calories burned while running (15y) is at least 900 (≥900).
As per the given situation, the required inequality would be as:
⇒ 10x + 15y ≥ 900
Thus, the required inequality that models the given situation is 10x + 15y ≥ 900.
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Round 9.517 to the nearest whole number?
Answer:
Step-by-step explanation:
10
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Trout Street and Salmon Street are the same distance from the boardwalk to the intersection of 1st Street, Trout Street, and Salmon Street as shown in the diagram. Abby walks down 1st Street and stops when she reaches the boardwalk.
How far of a walk does she have to get to Trout Street?
Diagram shows triangle with base side labeled boardwalk and 2 legs labeled Trout Street and Salman Street. Segment labeled 1st street drawn from top vertex to base side is at right angle. Distance between segment and bottom right vertex is 800 yards.
Abby's walk to Trout Street is
yards.
When Abby's walk to Trout Street is 800 yards.
Distance is referred to as the length of a moving particle's real path. The shortest distance between a body's initial and final positions is referred to as displacement.
The distance between the segment and bottom right vertex is 800 yards.
The 1st street, Trout Street, and Salmon Street intersect at a point G.
Now, Trout street and Salmon street are at the same distance from the boardwalk.
From the figure, the distance between the boardwalk and salmon street is 800 yards.
Now the 1st street is perpendicular to line AE which is the distance between Trout street and Salmon street and hence AC = CE.
Therefore, When Abby's walk to Trout Street from the boardwalk is 800 yards.
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Someone help meee!
Solve 4(x-3)-2(x-1)>0
Answer:
x>5
Step-by-step explanation:
1. Distribute.
4(x-3)-2(x-1)>0
4x-12-2(x-1)>0
2. Distrubute furthermore
4x-12-2(x-1)>0
4x-12-2x+2>0
3. Add the numbers
4x-12-2x+2>0
Need Help ASAP WILL GIVE BRAINLIEST
(Do not just take points or I will report you.)
A student solved the given equation and justified every step except one. What is the missing reason?
A) Associative property of addition
B) Commutative property of addition
C) Multiplicative property of equality
D) Distributive property of multiplication over division
Answer:
D) Distribute Property
Step-by-step explanation:
The student did Distribute property but they didn't mark it down.
How much does Beatriz earn per hour?
How much would Beatriz earn if she worked 7 hours?
Answer:
$52.50
Step-by-step explanation:
She makes $7.50 an hour multiple that by 7 hours and you get $52.50
Which equation represents a linear function that has a slope of 5 and a y-intercept of -6?
O y=-6x+3
4
Ov=5x-6
OY=6x+3
Hiking
(15,18
(10, 12)
Distance (miles)
15,6
10
15
Time
Using the data shown on the graph, which sztements are correct?
The
3
The ratio of L is consistent
The graph represents a proportional relationship
D
The grach does not represent a proportional relationship
The graph of a proportional relationship must past through. (0,0)
Answer:
I’m sorry but I don’t understand the question
Step-by-step explanation:
Can somebody help me if you know what this is
Answer: A
Step-by-step explanation:
cause it is
Which value for the variable w makes the value of this expression 10? 50/w
A robots height is 1 meter 20 centimeters.How tall i the robot in millimeters
Answer:
1200 millimeters
Step-by-step explanation:
1 meter in millimeters should be 1000
And 20 centimeters should be 200 millimeters
A student put $1,200 in a savings account paying simple interest of 4.5% per year. Find the total amount of the student's savings after 5 years. A: $700. B: $1470. C: $1000. D: $400
Answer:
(B) $1470
Step-by-step explanation:
Given that the principal initial amount, p=$1200
Rate of simple interest per year, r=4.5% = 0.045
Time, t=5 years
Interest after 5 years,
I=prt= 1200 x 0.045 x 5 = 270
Total amount = Principal initial amount + Interest
=1200+270=1470
So, the total amount of the student's savings after 5 years is $1470.
Hence, option (B) is correct.
A scale model of a water tower holds 1 teaspoon of water per inch of height. In the model, 1 inch equals 1 meter and 1 teaspoon equals 1,000 gallons of water.
How tall would the model tower have to be for the actual water tower to hold a volume of 20,000 gallons of water?
A. 2 inches tall
B. 4 inches tall
C. 20 inches tall
D. 200 inches tall
Answer:
20 inches tall
Step-by-step explanation:
If 1 inch equals 1 meter and 1 teaspoon equals 1,000 gallons of water, the model would have to be 20 inches tall to hold a volume of 20,000 gallons of water.
3(x+2)
3x+6
=18
=18
1) How can we get Equation BBB from Equation AAA?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Multiply/divide both sides by the same non-zero constant
(Choice B)
B
Multiply/divide only one side by a non-zero constant
(Choice C)
C
Rewrite one side (or both) by combining like terms
(Choice D)
D
Rewrite one side (or both) using the distributive property
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Yes
(Choice B, Checked)
B
No
Answer:
(x = 4, x = 4)
Step-by-step explanation:
Gonna solve it but you need to do the rest, the answers are all in the solution.
Expand the following:
(3 (x + 2) = 18, 3 x + 6 = 18)
3 (x + 2) = 3 x + 3 2:
((3 x + 3 2) = 18, 3 x + 6 = 18)
3×2 = 6:
(3 x + 6 = 18, 3 x + 6 = 18)
Subtract 6 from both sides:
(3 x + (6 - 6) = 18 - 6, 3 x + 6 = 18)
6 - 6 = 0:
(3 x = 18 - 6, 3 x + 6 = 18)
18 - 6 = 12:
(3 x = 12, 3 x + 6 = 18)
Divide both sides of 3 x = 12 by 3:
((3 x)/3 = 12/3, 3 x + 6 = 18)
3/3 = 1:
(x = 12/3, 3 x + 6 = 18)
The gcd of 12 and 3 is 3, so 12/3 = (3×4)/(3×1) = 3/3×4 = 4:
(x = 4, 3 x + 6 = 18)
Subtract 6 from both sides:
(x = 4, 3 x + (6 - 6) = 18 - 6)
6 - 6 = 0:
(x = 4, 3 x = 18 - 6)
18 - 6 = 12:
(x = 4, 3 x = 12)
Divide both sides of 3 x = 12 by 3:
(x = 4, (3 x)/3 = 12/3)
3/3 = 1:
(x = 4, x = 12/3)
The gcd of 12 and 3 is 3, so 12/3 = (3×4)/(3×1) = 3/3×4 = 4:
Answer: (x = 4, x = 4)
can someone help me with 3 questions
Find the area and perimeter/circumference of each shape. If needed, rounded to the nearest tenth. Use 3.14 for pi.
I can only help you with the first one, because I'm new to geometry, but here it is:
Area: 91cm
Perimeter: 136cm You need to add all the side measures together.
Circumference: It isn't possible to find circumference unless it is a circular shape. So there is no circumference for this shape.
I hope this helps!