Answer:
[tex]\large\boxed{[0.5;\ \infty)}[/tex]
Step-by-step explanation:
[tex]2(4x-3)\geq-3(3x)+5x\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(2)(4x)+(2)(-3)\geq-9x+5x\\\\8x-6\geq-4x\qquad\text{add 6 to both sides}\\\\8x\geq-4x+6\qquad\text{add}\ 4x\ \text{to both sides}\\\\12x\geq6\qquad\text{divide both sides by 12}\\\\x\geq\dfrac{6}{12}\\\\x\geq\dfrac{1}{2}\to x\in\left[\dfrac{1}{2};\ \infty\right)[/tex]
The question is about solving an inequality, but the actual inequality is not fully provided. General steps have been given to approach solving such problems, with a note that a specific solution requires the complete inequality. The student should provide the full inequality for a precise solution.
Explanation:The student is asking for help with solving an inequality problem. Without a complete and clear inequality provided, we are unable to give a full step-by-step solution. However, I can provide a general approach to solving linear inequalities:
First, combine like terms and simplify both sides of the inequality.Next, isolate the variable term on one side of the inequality.Finally, divide by the coefficient of the variable if necessary to solve for the variable, and don't forget to reverse the inequality sign if you divide by a negative number.If the student provides the full inequality, using these steps will lead to the solution, where you would then graph the solution set on a number line and use either parenthesis or brackets to denote whether endpoints are included (for 'greater/less than or equal to') or excluded (for 'greater/less than').
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Ryan feeds his dog 2/3 pounds of dog food for each meal. Ryan has just bought 18 pounds of dog food. For how many meals will the food last?
Answer:
Step-by-step explanation:
30 meals
The sum of two numbers is 14. When one number is added to twice the other number, the result is 25. Find the numbers
Let x and y be the two numbers. We have:
[tex]\begin{cases}x+y=14\\x+2y=25\end{cases}[/tex]
Subtract the first equation from the second to get
[tex]y=11[/tex]
And deduce
[tex]x+11=14 \iff x=3[/tex]
The two numbers are 3 and 11.
How are the properties of reflection used to
transform a figure?
Answer:When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed). ... Remember that each point of a reflected image is the same distance from the line of reflection as the corresponding point of the original figure.
Step-by-step explanation:
Answer:
The properties of reflection are used when we want to reflect a figure across a specific line, it can be across y-axis, x-axis, y = x or y = -x.
In either case, the result is a reflection, that is, those lines will work as a mirror, having the same shape and size but reflected across the line.
It's important to say that a reflection is a rigid transformation, which means the shape or size of the figure won't chance.
If we want to reflect across the y-axis, the transformation is:
[tex](x,y) \implies (-x,y)[/tex]
Across the x-axis: [tex](x,y) \implies (x,-y)[/tex]
Across the line y = x: [tex](x,y) \implies (y,x)[/tex]
Across the line y = -x: [tex](x,y) \implies (-y,-x)[/tex].
a group of hikers find a fallen tree in a forest. he dead tree trunk is covered by mushrooms and other fungus. the apples are all rotten and decayed by bacteria. which statement best summarizes how these fungus and bacteria organisms are obtaining their food energy
Answer:
Step-by-step explanation:
Answer: D. The fungus and bacteria organisms are obtaining the energy they need by decomposing organic matter like dead trees and old apples.
Fungi is the primary decomposer of biological waste in forest ecosystem. Fungi grows on the branching network of hyphae which provide it more penetration potential towards the litter. Wood decaying fungi has enzymes required for decomposition of lignin, a chemical substance found in wood. Fungi decompose organic matter by releasing enzymes which breaks down the decaying matter, after that they absorb the nutrients in the decaying material. The left residue in the organic matter includes sugars and amino acids are degraded and decomposed by the bacteria.
Answer:
D) the fungus and bacteria organisms are obtaining the energy they need by decomposing organic matter like dead trees and old apples
Step-by-step explanation:
F(1)=192
192,48,12,3
The sequence shown is
Answer:
Geometric
an=an-1₋(.25);a₁=192
an=192(.25)^n-1
7.32421875*10^−4
Step-by-step explanation:
Answer:
The sequence shown is geometric
Recursive function:
[tex]a_{n} = a_{n-1}\times r[/tex]
with [tex]a_1 = 192[/tex]
Explicit function: [tex]a_n = 192 \times 0.25^{n-1} [/tex]
10th term: 0.000732421876
Step-by-step explanation:
In a geometric sequence the n+1 term divide by the n term is constant
48/192 = 0.25
12/48 = 0.25
3/12 = 0.25
From this result we can deduce the recursive function:
[tex]a_{n} = a_{n-1}\times r[/tex]
with [tex]a_1 = 192[/tex]
Explicit function:
[tex]a_n = a \times r^{n-1} [/tex]
where a is the first term in the sequence (= 192) and r is the common ratio (= 0.25). Replacing:
[tex]a_n = 192 \times 0.25^{n-1} [/tex]
The 10th term is:
[tex]a_{10} = 192 \times 0.25^9 = 0.000732421876 [/tex]
Is angle 4 and angle 7 vertical angles? I think that they aren’t but I’m not quite sure..
Answer:
Yes
Step-by-step explanation:
∠4 = ∠7 ( vertical angles )
The angles are opposite angles of the vertex with the same straight lines
Angle 4 and 7 are vertically opposite angle.
What is vertically opposite angle?Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. Angles that are vertically opposed to one another are equal.
in the given systems of line,
Angle 1, 2, 3, 4, 5, 6, 7, and angle 8 are given.
To determine angle 4 and angle 7 are vertically opposite or not.
Use vertically opposite angle property,
Since, angle 4 and 7 are at same vertex and apposite to each other,
Therefore, angle 4 and 7 are vertically opposite angles.
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A recipe requires 1.5 kilograms of eggs. How much is this in pounds
Answer:
3.31 pounds of eggs will be required to prepare the recipe.
Step-by-step explanation:
Since 1 kilogram = 2.205 pounds is the scale by which we can convert the unit kilograms into pounds
∵ 1 kilogram = 2.205 pounds
∴ 1.5 kilograms = 1.5 × 2.205
= 3.3069 pounds
≈ 3.31 pounds
Therefore, 3.31 pounds of eggs will be required to prepare the recipe.
1. A group of 36 students goes
on a school field trip. Of all the
students on the trip. 18 are in
third grade. What is 18 in simplest
form?
- No
The simplest form of '18' is '18'. In relation to the field trip, '18' represents the number of third-grade students who attended, which is half of the total group of 36 students.
Explanation:This question is asking for us to simplify the number '18'. The simplest form of a number is itself when it cannot be divided evenly by any other numbers except for 1 and itself. In this case, the number '18' can be divided by 1, 2, 3, 6, 9, and 18. It cannot be simplified further because it does not have any other divisors aside from these. Therefore, the simplest form of '18' is '18'.
In the context of this question, if '18' represents the number of students in the third grade who went for the field trip, that refers to exactly half of the total group since there were 36 students in total.
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PLEASE HELP ITS EASY
The following table represents a relation. Identify the set of numbers that makes up the range in the relation.
x y
5 -3
4 0
2 1
4 2
-3 3
A. -3, 2, 4, 5
B. -3
C. 0, 1, 2, 3
D. -3, 0, 1, 2, 3
Final answer:
The range of a relation is the set of all possible y-values. For the given table, the range is -3, 0, 1, 2, and 3, which corresponds to answer D.
Explanation:
You're asking to identify the set of numbers that makes up the range in the given relation. The range of a relation refers to all the possible values of y that you can get when you input various values of x. For your table, the y-values are -3, 0, 1, 2, and 3. So, the range is the set of these y-values. Therefore, the correct answer is D. -3, 0, 1, 2, 3.
In general, to find the range, you look at all the second numbers in the ordered pairs of a relation or function. When plotted on a graph, this shows the dependence of y on x.
you're laying plumbing on a construction site. The blueprints call for 8 sections of 5 3/4 inch long piping. how many inches of piping will use
Hey!
---------------------------
Solution:
8 = 8/1
5 3/4 = 23/4
23/4 * 8/1 = 184/4
184/4 = 46
---------------------------
Answer:
He will use 46 inches of piping.
---------------------------
Hope This Helped! Good Luck!
Answer:
46
Step-by-step explanation:
8*5.75= 46
Karen had a roll of ribbon 48 1/2 metres long. How many pieces of ribbon of length 1 1/5m can she cut from the roll? How many metres of ribbon will be left?
Answer:
40 and 0.5
Step-by-step explanation:
48 and 1/2 metres = 48.5 metres
1 and 1/5 metres = 1.2 metres
Take 48.5 and divide it by 1.2 and you will get 40.41666667...
Since the maximum whole number you can get is 40, you can cut 40 pieces of 1.2 metres of ribbon off.
Remainder = 48.5 - (40 x 1.2) = 0.5 metres left
The number of pieces of ribbon can be cut from roll is 40 and 0.5 m of ribbon left.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
We have,
Karen had a roll of ribbon 48 1/2 m long.
= 48.5 m long
and, 1 and 1/5 m = 1.2 m
Now, the number of pieces of ribbon can be cut from roll is
= (48.5) / (1.2)
= 40.416
and, the amount of ribbon left
= 48.5 - (40 x 1.2)
= 0.5 m
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A cruise ship travels 20 miles in 50 minutes. How far does it travel in one minute?
Answer:
0.4 miles
Step-by-step explanation:
Answer:just do 50 divided by 20
Step-by-step explanation:
50 divided by 20
bart ran 500 meters from the cops and a speed of 6 meters/second before he got caught. how long did he run?
Answer:
He ran for 83.333 seconds before he was caught.
Hope this help.
People wait for sales to
Answer:
go down
Step-by-step explanation:
They don¨t want to spend to much money on something so they wait.
the smoothie shop sold 35 banana smoothies, 48 strawberry smoothies, and 25 orange smoothies. how many smoothies were sold in all?
Answer:
35
+ 48
25
= 108
The smoothie shop sold a total of 108 smoothies.
Explanation:To find the total number of smoothies sold, we add up the number of banana smoothies, strawberry smoothies, and orange smoothies. The smoothie shop sold 35 banana smoothies, 48 strawberry smoothies, and 25 orange smoothies. Therefore, the total number of smoothies sold is 35 + 48 + 25 = 108 smoothies.
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Four speed skaters, Marco, Naim, Oliver, and Pedro, compete in a relay race where they all agree that Naim will be the last
skater. Then, they try to decide whether or not Oliver should be the first skater in the race.
Which subset, A, of the sample space shows the complement of the event in which Oliver is the first skater in the race?
A = {MOPN, PMON}
A = {OPMN, OMPN)
A = {MOPN,MPON, OPMN, POMN)
A = {MOPN. MPON, PMON, POMN)
Answer:
A = {MOPN, MPON, PMON, POMN}
Step-by-step explanation:
Everyone has already agreed that Naim would be the last skater, so we have to make sure that the result has 'N' in each last place. As we can see, they all have this.
Now, we also have to make sure Oliver not first, because although they're trying to decide, the problem asks for the complement in which "Oliver is the first skater in the race."
A complement is all the values that are NOT in the set, so it cannot be A = {OPMN, OMPN) or A = {MOPN,MPON, OPMN, POMN), because they both have at least one case where 'O' is first.
A complement is ALL other values of the set, so it cannot be A = {MOPN, PMON}, because that set only shows two possible values.
Therefore, A = {MOPN, MPON, PMON, POMN} is your answer.
Answer:A=OPMN,OMPN
Step-by-step explanation:
we know oliver is first in the race and naim is last so the other racers are in between
On a piece of paper, graph the system of equations. Find the solution to the system y=2x-5 and y=x+4
Answer:
[9, 13]
Step-by-step explanation:
{y = x + 4
{y = 2x - 5
Since we have two expressions set equal to y, use the Substitution Method:
[tex]x + 4 = 2x - 5[/tex]
-2x -2x
___________________
-x + 4 = -5
- 4 - 4
__________
-x = -9
x = 9 [Plug this back into both equations to get the y-coordinate of 13]; 13 = y
I am joyous to assist you anytime.
You purchase n cartons of tennis balls at $25 per carton from an online retailer that charges 8% tax and $17 in shipping costs. The expression 25n +0.08(25n) + 17 can be used to represent the total cost.
Answer:
The expression is [tex]\$(27n+17)[/tex]
Step-by-step explanation:
The question is Simplify the expression and identify the units
we have
[tex]25n+0.08(25n)+17[/tex]
Find the product between 0.08 and 25n
[tex]0.08(25n)=2[/tex]
substitute
[tex]25n+2n+17[/tex]
Groups terms that contain the same variable
[tex](25n+2n)+17[/tex]
Combine like terms
[tex]27n+17[/tex]
The expression above represent the total cost
therefore
the unit is in dollars ($)
The product of 4 and a number plus 17 is 5
The required solution is -63/4.
It is required to find the number.
What is arithmetic?The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications
Given :
Step 1: Write down the question as an algebra problem, with the unknown as X
The unknown is a number plus 17, so we write it as (X+17). The product is four times (X+17), so we write it as 4(X+17). Set it equal to 5, as per the question,
4(X+17)=5
Step 2: Divide both sides by 4
4(X+17)/4=5/4
X+17=5/4
Step 3: Isolate X by subtracting 17 from both sides
X= 5/4-17
X= 5/4- (17*4)/4
X= 5/4-68/4
X=-63/4
Therefore, the required solution is -63/4.
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Angelo read 1 1/2 pages in 3 minutes. Find his reading speed in pages per hour.
Answer:
30 Pages.
Step-by-step explanation:
We know that there are 60 minutes in an hour, and that 3 goes into 60 20 times (3/60 = 20). Multiply 1 1/2 x 20, and that equals 30 pages.
You can also set it up in fraction form - multiply 1.5/3 times x/60. cross multiply and solve for x. in this case x = 30.
-9.25 is rational or irational
Answer:
It is rational.
Step-by-step explanation:
A rational number is a number that can also be written as a fraction or ratio. -9. 25 is also equal to -9 1/4. Therefore, it is rational.
Answer:
-9.25 is rational
Step-by-step explanation:
(3a) (a^-3) please help I'm very confused if possible please show your work! <:D
[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (3a)(a^{-3})\implies 3a\cdot \cfrac{1}{a^3}\implies \cfrac{3a}{a^3}\implies \cfrac{3~~\begin{matrix} a \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{aa~~\begin{matrix} a \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{3}{a^2}[/tex]
A race car travels 100 feet in .5 seconds. At this rate of speed, how many feeet will the race car travel in a minute?
Answer:
Step-by-step explanation:
[tex]\frac{100ft}{0.5s} * 60s[/tex]
[tex]\frac{100 * 60}{0.5}[/tex]
[tex]\frac{6000}{0.5}[/tex]
[tex]12000ft[/tex]
[tex]\text{Hello there!}\\\\\text{We know that a car travels 100 ft every .5 seconds}\\\\\text{Lets find how far it goes every second}\\\\100*2=200\,\text{ft per second}\\\\\text{We're trying to find how far it goes in a minute, so multiply by 60}\\\text{Since 60 seconds = 1 minute}\\200*60=12000\\\\\boxed{12,000 ft}[/tex]
Which letter represents the point (4, -5)?
P
Q
R
S
Lina packs 3-inch cups into boxes
measuring 12 inches by 15 inches.
How many cups fit in one box?
The division is one of the four fundamental arithmetic operations. The number of cups that Lina can feel in the box is 20.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Lina packs 3-inch cups into boxes measuring 12 inches by 15 inches. Since the bottom of the cup is circular, therefore, will cover a square area as shown in the image below.
Therefore, the number of cups that can fit in the bcan be written as,
Number of cups= (12 inches × 15 inches)/(3 inches × 3 inches)
= 20 cups
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Estimate the square root of 0.39 to the nearest 10th Place
Answer:
0.62
Step-by-step explanation:
Who on here is from Connections Academy?
Answer:
not me
Step-by-step explanation:
I am not from Connections Academy, but I am in Ohva.
Evaluate the
expression:
2,322 - 27
Answer:
the answer is 2295
Step-by-step explanation:
of that doesn't work then put it in a calculator
Write a quadratic equation with roots of 3/4 and -4
Answer:
(x-3/4)(x+4)
any quadratic can be written as (x-root)(x-root) if you need standard form then multiply
what is the distance from A to B
Answer:
E is the same distance away from A, and A to B.