Answers
Remember: when multiplying or dividing negatives, flip the inequality sign.
3(x + 3) > 4(x - 4) Distributive Property
3x + 9 > 4x - 16 Subtract 4x from both sides
-x + 9 > -16 Subtract 9 from both sides
-x > -25 Divide by -1 to both sides and flip the sign
x < 25 Answer!
To solve this problem, first, we distribute.
3x + 9 > 4x - 16
Then, we can simplify this inequality.
9 > x - 16
0 > x - 25
x < 25
The answer is B.
Hope this helped!
Related Questions
Tracy is making blueberry muffins.she is using 4/4 cup of honey and 4/2 of floyr.Does Tracy use more honey or more flour?
Answers
A bicyclist started on his trip from city A to city B. In 1 hour and 36 minutes, a biker also left A and headed towards B, and he arrived there at the same time as the bicyclist. Find the speed of the bicyclist if it is less than the speed of the biker by 32 km/hour, and the distance between the two cities is 52 km.
Answers
Speed of biker= x+32
Convert 1 hour and 36 min to hours.
1+36/60 = 1.6 hours
Bicyclist time is 1.6 hours longer than biker.
Equation is:
52/x - 1.6 = 52/(x+32)
Solve for x.
52(x+32)-1.6(x+32)=52x
5x+1664-1.6x²-51.2x=52x
Simplify
1.6x²+51.2x-1664=0
Using quadratic formula.
We get
x=20 km per hour which is the speed of the Bicyclist.
Now speed of biker= 20+32=52 km/hr
Answer: Speed of Bicyclist= 20 km/hr
A number increases from 30 to 45 and then decreases from 45 to 36. What is the difference between the percent of increase and the percent of decrease?
Answers
Answer:
30%
Step-by-step explanation:
The increase was 15/30 = 50%,
The decrease was 9/45 = 20%.
50% - 20% = 30%
The base of a 15-ft ladder is 5 ft away from a wall. How high from the floor is the top of the ladder?
Answers
Distance from the top of the ladder to the floor = 14.14 ft
Explanation:
The ladder forms a right-angled triangle with the floor and the wall where:
The ladder is the hypotenuse = 15 ft
The distance between the ladder and the wall is the base = 5 ft
We will use the Pythagorean theorem to get the third side of the triangle which represents the distance between the top of the ladder and the floor as follows:
15^2 = 5^2 + distance^2
Distance^2 = 225-25 = 200
Distance from the top of the ladder to the floor = sqrt(200) = 14.14 ft
Hope this helps :)
Help me on the first question pls
Answers
Then looking at the equation that you solved for, look and see if there are any other equations that are related in some way to the original solved equation.
Pay close attention to the positive and negative signs.
Tell whether the statement below is always, sometimes, or never true. Equation like, a + 4 = 8 and 4 - m = 2 have exactly one solution.
Answers
a = 4
Can you add anything else to 4 to get 8? No.
4 - m = 2
-m = -2
m = 2
Can you subtract anything besides 2 from 4 to get 2? No.
So the statements are always true.
Final answer:
The statement that equations 'a + 4 = 8' and '4 - m = 2' have exactly one solution is always true, as these are linear equations with one variable. Such equations normally have a unique solution when they are not degenerate.
Explanation:
The statement 'Equations like a + 4 = 8 and 4 - m = 2 have exactly one solution' is always true. For the equation a + 4 = 8, there exists one and only one number a such that when you add 4 to it, you get 8.
Similarly, for 4 - m = 2, there is exactly one solution for m that makes the equation true. These are examples of linear equations with one variable, which have a unique solution assuming they are not degenerate (such as an equation like 0x = 0 which has infinitely many solutions).
In general, if a and b are two given numbers, there exists one and only one number x, and also one and only one number y, such that a+x=b, and y+ a = b respectively.
This principle follows from the property of numbers where there exists a definite number, called 0, such that for every number a, we have a + 0 = a and 0 + a = a. Equations are statements of truth, like √4=±2 which indicates a solution set of {-2, 2} for the equation x² = 4.
A tabletop in the shape of a trapezoid has an area of 5,658 square centimeters. Its longer base measures 119 centimeters, and the shorter base is 65 centimeters. What is the height?
The height of the tabletop is
centimeters.
Answers
By plugging in the information that we already have, we know: (119+65)*height*1/2=5658
184*1/2*height=5658
92*height=5658
height=61.5cm.
Check:
119+65=184
184*61.5=11316
11316*1/2=5658
How can you use mental math to find the percent of a number?
Answers
Example 30, 1/100 of 30 is .30
Example 100, 1/100 of 100 is 1
Example 52, 1/100 of 52 is .52
a person walking along a straight road observes that at two consecutive kilometer stones, the angles of elevation of a hill in front of him are 30degree and 45 degree find the height of the hill
Answers
The triangle rectangle BCH has one other angle that is 45°, which means that it is an isosceles triangle, therefore BC = HC = height of the hill (h).
Now, consider the triangle ACH: it has an angle of 30° (which means that the other angle is 60°) and AC = BC + AB = h + 1 (where we considered h measured in km).
In such a particular triangle (30°- 60°- 90°), the ratio between the long and the short leg is √3, which means that:
√3·HC = AC
We can then write:
√3·h = (h + 1)
which can be solve for h:
√3·h - h = 1
h(√3 - 1) = 1
h =1/ (√3 - 1)
We can rationalize:
h = [tex] \frac{1}{ \sqrt{3} - 1} \frac{ \sqrt{3} + 1}{ \sqrt{3} + 1 } [/tex]
= (√3 + 1) / 2
= 1.366 km
Therefore the correct answer is: the hill is 1.366km high
1. The net of the 3D shape below are the blueprints of a tent that’s going to be made. Use this to answer questions (a) and (b) below.
(A) What’s the name of the 3D shape this net represents? (For example, square prism, rectangular prism, triangular prism, cube, rectangular pyramid, triangular pyramid, square pyramid…). Write your answer below
(b) What’s the surface area of this tent? Show all work and write your answer below.
thank you I know it is a lot of question but thank you
Answers
The prism is a triangular prism.
B
I just finished doing this question. You can look at the work there.
https://brainly.com/question/8892095
The table shows the amounts of two ingredients Tara used to make a snack mix. She ate 5/8 cup of the snack mix for lunch. How much of the mix is left? Show how you solved.
Answers
So if you do 8/8 - 5/8 you get 3/8
In this exercise we have to use the knowledge of division, that is, how much is left of a certain food that is found in terms of fraction, in this way we can say that:
[tex]3/8[/tex] left.
So to calculate this exercise, we have to use the total amount minus the amount eaten to find what's left, so we have to:
[tex]8/8-5/8=3/8[/tex]
See more about fraction at brainly.com/question/1301963
randy bought 6 candy bars for $8.28 what is the cost per candy bar?
Answers
6 divided by 8.28 equals 1.38
Each candy bar is a dollar thirty eight.
Hope this helps! Please let me know if you need further explanation.
~Brooke❤️
Find the value of x. Round to the nearest tenth of a unit. Both 9 and 10 please.
Answers
By definition,
[tex]tan 22^{o} = \frac{203}{x} \\ 0.404 = \frac{203}{x} \\ x = \frac{203}{0.404}= 502.44[/tex]
Answer: 502.4 m
Problem 10
From geometry, the angle opposite x is 27°.
By definition,
[tex]sin 27^{o} = \frac{x}{580} \\ 0.454 = \frac{x}{580} \\ x=(580)(0.454)=263.32 [/tex]
Answer: 263.3 yd
Answer:
1A
2D
3D
4A&D
5D
6C
7A
8C
9C
10A
a gym has 275 members 40% are bronze members 28% are silver members the rest are good work out the gold members
Answers
Find % of gold members. Subtract the known % of bronze and silver members from 100%.
x= percent of gold members
x= 100% - (40% +28%)
x= 100% - 68%
x= 32% percent of gold members
STEP 2:
Find number of gold members. Multiply % of gold members by the total numbers of members (275).
x= # of gold members
x= 275 * 32%
x= 275 * 0.32
x= 88 gold members
Hope this helps! :)
explain how you can find a fraction that is equivalent to 1/4
Answers
If you wanted to find a number that is equal to a fraction, we can either 1. simplify, or 2. multiply both the numerator and the denominator by the same number.
Since 1/4 is already at its simplest form, we can multiply both the numerator and the denominator by any number. Let's do 4:
1 * 4 = 4
4 * 4 = 16
So, 4/16 would be an equivalent fraction.
Hope this helps!
A baseball player got 10 hits in 39 times at bat. What percent of his times at bat did he get a hit? (Round to the nearest percent.)
Answers
it’s 26% rounded to the nearest percent
Well Basically, it’s kinda a struggle to understand this math your explaining:(
Well, 3/6 = 8/?
Answers
So 3/6 = 8/16
Think of it like this: if you had three slices of pizza out of 6 total, then you had half the pizza. The same goes for if you had 8 slices out of 16 total
You can use the cross multiplication rule to find x
3/6 = 8/x
3*x = 6*8
3x = 48
3x/3 = 48/3
x = 16
3/6=8/?
multiply both sides by ?
3?/6=8
mulitly both sides by 6
3?=(6)(8)
3?=48
divide both sides by 3
?=16
16 goes in the quation mark place
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Help...T-T
Answers
Answer:
yea
Step-by-step explanation:
Answer:
We cant see anything
Step-by-step explanation:
Elizabeth can run 3/4 mile in 1/10 of an hour. What is her speed in miles per hour?
Answers
Final answer:
Elizabeth's speed in miles per hour is calculated using the formula for speed, which is distance divided by time. By setting up the proportion with the given numbers, it's determined that Elizabeth runs at a speed of 7.5 miles per hour.
Explanation:
To calculate Elizabeth's speed in miles per hour, we need to use the information that 3/4 mile is covered in 1/10 of an hour and then find out how many miles would be covered in one full hour. To do this, we set up a proportion where the distance (miles) is divided by the time(hours).
The formula for finding speed is:
Speed = Distance / Time
Using the given numbers:
Speed = (3/4) miles / (1/10) hour
By performing the division, we get:
Speed = (3/4) × (10/1) miles/hour
Speed = (30/4) miles/hour
Speed = 7.5 miles/hour
Therefore, Elizabeth runs at a speed of 7.5 miles per hour.
A farmer charges for his coffee beans using the equation C=3.95p, where C is the cost of the coffee beans and p is the number of pound of coffee beans. What is the slope?
Answers
\
what is f(t) = 2t-3?
solve for f(7)
Answers
.. f(t) = 2t -3
.. f(7) = 2*7 -3
.. f(7) = 14 -3 = 11
Your value for f(7) is 11.
Problem -
Gretchen is setting up for a banquet. She has 300 chairs and needs to distribute them evenly among t tables.
How many chairs should she put at each table?
Write your answer as an expression.
Answers
Answer:
The expression is 300÷t.
Step-by-step explanation:
Number of chairs Gretchen has = 300.
Number of tables Gretchen has = t.
It is given that the chairs are evenly distributed among the given number of tables that is each table will have the equal number of chairs.
The number of chairs she should put can be found by the expression 300÷t.
Gretchen should distribute 300 chairs evenly across t tables, which is represented by the expression 300 / t, where t is the number of tables.
Explanation:To solve the problem of how many chairs Gretchen should put at each table, we need to distribute the total number of chairs evenly among the tables. The expression for this will be:
Chairs per table = Total number of chairs / Number of tables
In Gretchen's case, she has a total of 300 chairs that need to be distributed evenly. Therefore, the expression is:
Chairs per table = 300 / t
Here, t represents the total number of tables. We do not know the exact number of tables, as it is not provided in the question, so we use t as a variable to represent this unknown value.
The youth center has another mural painted inside the building. If the original painting is 3 feet by 2 feet, and the mural is 15 feet by 10 feet, what is the scale comparing the painting to the mural?
a) 3ft:10ft
b) 1ft:5ft
c) 1ft:3ft
d) 2ft:15ft
Answers
Original painting mural scale factor
3 15 original / mural = 3 / 15 = 1 / 5
2 10 original / mural = 2 / 10 = 1 / 5
As you see the scale to comparing the original to the mural es 1 feet : 5 feet.
It means that the measures of the original painting must be multiplied by 5 to obtain the measures of the mural.
If Dawn can buy 5 pounds of apples for $12.45, how many pounds can she buy for $1.00? Express your answer as a decimal and round to the nearest tenth of a pound.
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Answers
Hope this helps!
Dawn can buy 5 pounds of apples for $12.45
We have to find how many pounds can she buy for $1.00
Now cost price for 5 pounds = $12.45
In $12.45 , Dawn can buy 5 pounds of apple
So, In $ 1 , Dawn can buy 5/12.5 pound of apple
= 0.4 pound of apple
Therefore dawn can buy 0.4 pound of apple for $1.00
Hope this helps..!!
Thank you :)
need help again asapp
Answers
cone = 126/3 = 42
total = 126 +42 = 133 cm^3
2/3x+1/3y=2 in graph
Answers
Solve for y:
[tex]\dfrac{2}{3}x+\dfrac{1}{3}y=2\ \ \ \ |\cdot3\\\\2x+y=6\ \ \ \ |-2x\\\\y=-2x+6[/tex]
It's the slope intercept form of a straight line.
We need only two points to draw a straight line.
[tex]for\ x=0\to y=-2(0)+6=0+6=6\to(0;\ 6)\\for\ x=3\to y=-2(3)+6=-6+6=0\to(3;\ 0)[/tex]
Look at the picture.
What geometric term describes a corner f a living room
Answers
**PLEASE HELP ASAP** Betsy is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?
Yes, at positive x-coordinates
Yes, at negative x-coordinates
Yes, at negative and positive x-coordinates
No, they will not intersect
Answers
This is by far the easiest way to solve this problem, but if you're interested in learning how to do it algebraically, read on! To prove this more rigorously, we can find that the equation of the parabola is [tex]y=\frac13 x^2 - 2.[/tex] Substituting in [tex]y=x[/tex], we find that the intersection points occur where [tex]\frac13 x^2 - 2 = x[/tex], or [tex]\frac13 x^2 - x - 2 = 0,[/tex] or [tex]x^2 - 3x - 6 = 0.[/tex]
This equation doesn't factor nicely, so we use the quadratic formula to learn that [tex]x = \frac{3 \pm \sqrt{3^2 - 4 \cdot 1 \cdot (-6)}}{2} = \frac{3 \pm \sqrt{33}}{2}.[/tex] Hence, the x-coordinates of the intersection points are [tex]\frac{3 + \sqrt{33}}{2}[/tex], which is positive, and [tex]\frac{3 - \sqrt{33}}{2}[/tex], which is negative. This proves that there are intersection points on both ends of the axis.
Answer:
C. Yes, at negative and positive x-coordinates
Step-by-step explanation:
I got it right on the test.
Hope this helps :)
The sum of digits in a two-digit number is 14. If you double the reversed number and add the result to the original number, the sum would be 222. Find the original number.
Answers
The original two-digit number is 86. We determined this through solving a system of equations where the sum of the digits is 14 and doubling the reversed number before adding it to the original number equals 222.
Explanation:The student is given a mathematical problem involving a two-digit number. First, we are told that the sum of the digits of the number is 14. Let's assume that the number is made up of digits a and b, where a is the tens digit and b is the ones digit. Therefore, our number can be represented as 10a + b and the reversed number as 10b + a.
According to the given information:
a + b = 14 (the sum of the digits)(2 × (10b + a)) + (10a + b) = 222 (double the reversed number added to the original gives 222)Writing the second equation in standard form gives us 20b + 2a + 10a + b = 222, which simplifies to 21b + 12a = 222. Using the first equation, we can substitute the value of b as (14 - a) into the second equation, resulting in 21(14 - a) + 12a = 222. Solving for 'a' gives us a value of 8, and consequently, b equals 6. Therefore, the original number is 86.
The original number is 86.
Explanation:To find the original number, let's assume the tens digit as 'x' and the units digit as 'y'. So, the original number can be written as 10x + y.
According to the question, we have two equations:
Equation 1: x + y = 14 (The sum of digits is 14)
Equation 2: (10y + x) + 2(10x + y) = 222 (Double the reversed number and add it to the original number is 222)
Simplifying Equation 2, we get: 12x + 21y = 222
We can now solve the system of equations by substituting the value of 'x' from Equation 1 into Equation 2:
12(14 - y) + 21y = 222
Simplifying further, we get:
168 - 12y + 21y = 222
Combining the 'y' terms, we get:
9y = 54
Dividing both sides by 9, we get:
y = 6
Substituting the value of 'y' into Equation 1, we get:
x + 6 = 14
Subtracting 6 from both sides, we get:
x = 8
Therefore, the original number is 10x + y = 10(8) + 6 = 86.
What is the rule being applied to the x value to find the y value? Write your answer in an equation.
Answers
26 = 8 · 3 + 2
35 = 11 · 3 + 2
47 = 15 · 3 + 2
therefore
y = 3x + 2