Answer:
x>2
Step-by-step explanation:
8x+4>20Subtract 4 from both sides to get 8x>16Divide both sides by 8Answer is x>2The solution of inequality is,
⇒ x > 2
We have to given that;
The inequality is,
⇒ 8x + 4 > 20
Now, We can solve the inequality as;
⇒ 8x + 4 > 20
⇒ 8x + 4 - 4 > 20 - 4
⇒ 8x > 16
⇒ 8x - 16 > 0
⇒ 8 (x - 2) > 0
⇒ x - 2 > 0
⇒ x > 2
Since, 8 ≠ 0
Hence, The solution of inequality is,
⇒ x > 2
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If the dimensions of a solid proportionally increase by a scale factor of 5/2, by what factor does the surface area increase?
A. 5/2
B. 5/4
C. 25/2
D. 25/4
Answer:
D
Step-by-step explanation:
Given that the dimensions of a solid are in proportion a : b, then
then the ratio of the area is a² : b²
Thus
scale factor = [tex]\frac{5}{2}[/tex] , then
area factor = [tex]\frac{5^2}{2^2}[/tex] = [tex]\frac{25}{4}[/tex] → D
Answer:
D
Step-by-step explanation:
If Pamela was given a 15% off her $71 purchase, how much was the discount? *
Solving systems of equations algebraically.
y = -3x + 4
y= 1
And SHOW YOUR WORK PLEASE!!!!
Answer:
x = 1
y = 1
Step-by-step explanation:
Since it gives you the value of y already, all you need to do is plug it into the equation, like so:
y = -3x + 4
1 = -3x + 4
Now, subtract 4 from both sides:
1 = -3x + 4
-4 - 4
________
-3 = -3x
Finally, divide both sides by -3:
-3 = -3x
1 = x
So now you have, x = 1 and y = 1.
Sal owns a clothing store that sells shorts and graphic T-shirts. He sells the
shorts for $14 each and the T-shirts for $6 each and. He is limited to the
constraints show by the set of inequalities below. Which of the points (s, t)
will maximize Sal's profit?
SS 30 - 37
s215 - +
SS 25 - 7
s20
t20
O A. (7.5, 7.5)
O B. (22.5, 2.5)
O c. (25,0)
Answer: (25,0) aka. C
Answer:
c. (25,0)
Step-by-step explanation:
Hope this helps!
The maximum profit is achieved at (25, 0), which means Sal should sell 25 shorts and 0 T-shirts to maximize his profit. So, the answer is (C) (25, 0).
What is profit?Profit is simply the difference between total revenue and total expenses. It shows you how much money your company made after expenses.
Profit, as the primary goal of any business, is a clear indicator of how your company is functioning and performing in the market.
To maximize the profit, we need to use the objective function, which is given by:
P = 14s + 6t
Where s is the number of shorts sold and t is the number of T-shirts sold.
The constraints are:
s + t ≤ 30 (constraint on the total number of items sold)
2s + 5t ≤ 75 (constraint on the amount of shelf space)
The feasible region is the shaded area above.
We can now evaluate the objective function at each corner point of the feasible region to find the maximum profit:
At (0, 20), P = 6(20) = 120
At (7.5, 7.5), P = 14(7.5) + 6(7.5) = 165
At (15, 15), P = 14(15) = 210
At (20, 5), P = 14(20) + 6(5) = 290
At (25, 0), P = 14(25) = 350
Therefore, the answer is (C) (25, 0).
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will give the brainliest!!!
the answer should be 320.4
Answer:
320.4
Step-by-step explanation:
Callie has a new kitten. The kitten weighs 3 pounds less than half the weight of Callie's cat. Together the cat and the kitten weigh 18 pounds. Which system of equations could be used to find the weight of each animal?
Answer: C
Step-by-step explanation:
First let’s identify that:
y = the kitten
x = the cat
Part 1 : The kitten weighs 3 pounds less than half the weight of Callie's cat.
We know that the kitten is half the size of the cat, which means the equation now looks like this:
x = [tex]\frac{1}{2}[/tex]y
But we also know that the kitten is 3 less than that equation, so now the equation is:
x = [tex]\frac{1}{2}[/tex]y -3
Part 2: Together the cat and the kitten weigh 18 pounds
Now, we have to use the other statement:
y + x = 18
But, that’s not one of the options, so we have to switch the x around and make it negative.
y = -x + 18
These are your answers!
The system of equations could be used to find the weight of each animal is option C.
Calculation of an equation:Since Callie has a new kitten. The kitten weighs 3 pounds less than half the weight of Callie's cat. Together the cat and the kitten weigh 18 pounds.
Here we assume the kitten be x and cat be y
So, the equation should be
[tex]y = 1\div 2x - 3\\\\[/tex]
And,
y = -x + 18
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An English teacher wants to know the
mean number of words students included
in recent essays. He randomly chooses
20 essays submitted by 180 students. He
records the word count of each one. His
data are shown below.
Using the number line below find the
probability, as a decimal to the nearest
hundredth, that a point on HP lies between L
and K.
Answer:
0.3
Step-by-step explanation:
To find this probability, we need to know the distance from point H to P and the distance from point L to K, and then the probability of a random point in HP being inside LK will be the division of the distance from L to K by the distance from H to P:
H to P: distance = 15 - 5 = 10
L to K: distance = 10 - 7 = 3
Probability: LK/HP = 3/10 = 0.3
Solve 92x = 66.
Round to the nearest ten-thousandth.
Answer:
x = 66/92
Step-by-step explanation:
divide both sides by 92
Answer:
x=33/46
Step-by-step explanation:
92x/92=66/92
x=66/92
x=33/46
Complete the statement. The lines shown in the graph have the same A) x-intercept. B) y-intercept. C) equation. D) slope.
Answer:
B. Y-intercept
Step-by-step explanation:
Here's the proof!
Answer: b/y-intercept
Step-by-step explanation:
i did it and got it right
Let m=6x+5m=6x+5m, equals, 6, x, plus, 5.
Which equation is equivalent to (6x+5)^2-10=-18x-15(6x+5)
2
−10=−18x−15left parenthesis, 6, x, plus, 5, right parenthesis, squared, minus, 10, equals, minus, 18, x, minus, 15 in terms of mmm ?
We have been given that [tex]m=6x+5[/tex]. We are asked to rewrite the equation [tex](6x+5)^2-10=-18x-15[/tex] in terms of m.
First of all, we need manipulate right side of our given equation.
We will factor out -3 from right side of equation as:
[tex](6x+5)^2-10=-3(6x+5)[/tex]
Upon substituting [tex]m=6x+5[/tex] in our equation, we will get:
[tex](m)^2-10=-3(m)[/tex]
[tex]m^2-10=-3m[/tex]
Upon writing this equation in general form of equation, we will get:
[tex]m^2+3m-10=-3m+3m[/tex]
[tex]m^2+3m-10=0[/tex]
Therefore, the equation [tex]m^2+3m-10=0[/tex] is equivalent to our given equation.
a 5/1
b 1/5
c 5/4
d 4/5
Answer:
The answer is b 1/5
Step-by-step explanation:
There are 5 sections in the spinner and 1 of the 5 is a three so it would be 1/5.
A lunch menu consists of 4 different kinds of sandwiches, 5 different kinds
of soup, and 3 different drinks. How many choices are there of ordering a
sandwich, soup and drink?
Answer:
4 sandwich + 5 soup +3 drink
total = 20
choices of ordering a sandy , soup and drink =
3/12= 1/4
Final answer:
To determine the number of meal combinations, multiply the number of sandwich, soup, and drink options together. With 4 sandwiches, 5 soups, and 3 drinks, there are 60 different meal combinations.
Explanation:
The student's question is asking for the number of different combinations available when choosing one sandwich, one soup, and one drink from a menu with multiple options for each category. To calculate the total number of combinations, we apply the Fundamental Principles of Counting and use the Multiplication Principle. Since there are 4 kinds of sandwiches, 5 kinds of soup, and 3 drinks, the number of unique combinations can be found by multiplying these numbers together.
Number of combinations = Sandwich options × Soup options × Drink options
= 4 × 5 × 3
The calculation gives us 4 × 5 × 3 = 60 different combinations.
Four times the square of a certain number increased by 6 times the number equals 108. Find the number
Helppp plzz! Four shapes are listed below.
I. Triangle
II. Parallelogram
III. Pentagon
IV. Hexagon
Which of these are possible cross sections of a cube?
A. I and II
B. I, II, and III
C. I, II, and IV
D. I, II, III, and IV
Answer:
the answers D all of them
Step-by-step explanation:
When a plane intersects a cube there is a variety of shapes of the resulting cross section.
a single point (a vertex of the cube)
a line segment (an edge of the cube)
a triangle (if three adjacent faces of the cube are intersected)
a parallelogram (if two pairs of opposite faces are intersected – this includes a rhombus or rectangle)
a trapezium (if two pairs of
a pentagon (if the plane meets all but one face of the cube)
a hexagon (if the plane meets all faces of the cube)
a pentagon (if the plane meets all but one face of the cube)
a hexagon (if the plane meets all faces of the cube)
The last five of these (the non-degenerate cases)
In a way we can get all the given shapes as a cross-section of a cube, the correct option is D
What is cross-section?A cross-section is the intersection of a plane in an object giving some specific shapes.
Given are the names of shapes, we need to identify we can be the possible shape for the cross-sections of a cube.
Since, when a plane intersects a cube there is are so many shapes getting as cross-section.
Therefore,
A triangle = three adjacent faces of the cube are intersected.
A parallelogram = two pairs of opposite faces are intersected (rhombus or rectangle)
A pentagon = the plane meets all but one face of the cube
A hexagon = the plane meets all faces of the cube
Hence, in a way we can get all the given shapes as a cross-section of a cube.
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Can someone please help me
Your computer password has 4 capital letters followed by 4 digits. Your
friend randomly chooses 4 capital letters and 4 digits. How many different
passwords can be created?
4,569,760,000 different passwords can be created.
What is a Password?A password is a string of characters that allows access to a computer system or service.
How to solve it?There are 26 letters, four times. There are 10 numbers, four times. 26x26x26x26=456,976
10x10x10x10= 10,000
Final Answer: 4,569,760,000
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The lifespan of zebras in a particular zoo are normally distributed. the average zebra lives 20.5 years the standard deviation is 3.9 years.
use the empirical rule (68-95-99.7%) to estimate the probability of a zebra living less than 32.2 years.
The empirical rule tells us that approximately 99.7% of data in a normal distribution falls within three standard deviations of the mean. The lifespan of 32.2 years is three standard deviations from the mean lifespan of zebras in the zoo, so the probability of a zebra living less than 32.2 years is about 99.7%, which is very high.
To the lifespan of zebras being normally distributed, with a mean of 20.5 years and a standard deviation of 3.9 years.
To estimate the probability of a zebra living less than 32.2 years, we can use the empirical rule, also known as the 68-95-99.7 rule. This rule states that for a normal distribution:
Approximately 68% of the data falls within one standard deviation of the mean (both above and below).
About 95% fall within two standard deviations.
Almost all, or 99.7%, fall within three standard deviations.
To find the probability of a zebra living less than 32.2 years, we first calculate how many standard deviations away from the mean this is, which is called the z-score.
The difference between 32.2 and the mean is 32.2 - 20.5 = 11.7 years.
Dividing this by the standard deviation of 3.9 years, we get a z-score of approximately 3, indicating that 32.2 years is three standard deviations above the mean.
According to the empirical rule, the probability of a zebra living less than 32.2 years would include almost all of the distribution or approximately 99.7%.
Therefore, the probability of a zebra living less than 32.2 years is very high, close to 100%.
y = |x| translated one unit to the left 30 POINTS
Answer:
y = |x+1|
Step-by-step explanation:
To shift a function left, add inside the function's argument: f (x + b)
y = |x|
We will add 1 to x
y = |x+1|
To shift a function right, subtract inside the function's argument: f (x - b)
Answer:
y = |x+1|
Step-by-step explanation:
In y = |x|, the vertex is at (0,0)
When translated one unit left, vertex will be at (0,-1)
Equation:
y = |x - (-1)|
y = |x+1|
expand and simplyfy 2(3x-5) +3(2x+3)
Answer:
[tex]12x-1[/tex]
Step-by-step explanation:
Considering the expression:
[tex]2(3x-5) +3(2x+3)[/tex]
[tex]6x-10+6x+9\\12x-1[/tex]
On a coordinate plane, 2 lines intersect at (0, 5). What is the solution of the system of equations? ( , )
Answer:
(0,5)
Step-by-step explanation:
I think...
I'm 99.9% sure that I'm wrong...
it issssssss (0,5) booooooooooooooom now you get a A+ on yo assinement ITS COREECT ON EDGEUNITEE
Una rampa para descargar mercancía mide 2m. Si la distancia a la que se coloca la rampa es igual a la altura, ¿qué altura alcanza?
Answer:
~14.14m.
espero que esto ayude :)
Given that -5 < -3, which statement is not true?
-5 is to the left of -3 on the number line.
-3 is to the right of -5 on the number line.
-3 > -5
-3 is less than -5,
D is incorrect because the higher the negative number is the less it becomes. So, the answer is -3 is less than -5.
what is the volume of this pyramid in cubic inches?
Answer:
The answer is 80, you multiply the numbers together to get volume.
the volume of a pyramid is 80 cubic inches .
Two pyramids like the one below sit on top of the gates at the entrance to the bridge.
Which expression shows how to determine the minimum amount of cement used to make each of the pyramids?
1.1/3(10)(10)(12)
2.1/2(10)(10)(12)
3.4[1/2(10)(13)]+10(10)
4.4[1/3(10)(13)]+10(10)
Answer:
A
Step-by-step explanation:
Step-by-step explanation:
We need to find the volume of the pyramid. The volume of a square pyramid is denoted by: , where B is the base area and h is the height.
Here, we know that the height of the pyramid is 12 and that the square base has dimensions 10 by 10. That means the base area is just 10 * 10 and the height is h = 12.
Plug these into the equation:
Thus, the answer is A.
Hope this helps!
At the school carnival, Jade has a game booth with a spinner. The banner at her booth reads "80% chance of winning!" What is the chance that a player may not win?
Answer:
20%
Step-by-step explanation:
100-80=20
Answer:
20% chance a player may not win
Step-by-step explanation:
100- 80 = 20
In a survey of students, 60% were in high school. The percentage of the students who were not in high school was?
Answer:
Is it 40?
Step-by-step explanation:
Answer:
40%
Step-by-step explanation:
There is a total of 100%.
If you subtract the amount that are in high school (60%) from 100%, then you would get 40%. Hope this helps! :)
3. A savings account is started with an initial deposit of $500. The account earns 1.5% interest compounded
annually.
(a) Write an equation to represent the amount of money in the account as a function of time in yea
(b) Find the amount of time it takes for the account balance to reach $800.
The equation for the amount in a savings account over time is provided, and the time to reach a balance of $800 is calculated.
The equation representing the amount of money in the account over time is A(t) = [tex]500(1 + 0.015)^t[/tex] where t is the number of years.
To find the time it takes for the account balance to reach $800, we substitute $800 for A(t) in the equation and solve for t.
For $800 = [tex]500(1 + 0.015)^t[/tex], solving for t gives t = 7.31 years.
What are the solutions to the system of equations? y=2x2−6x+3 y=2x+3 Enter your answers in the boxes. ( _,_ ) and ( _,_ )
Answer:
(0,3) and (4,11)
Step-by-step explanation:
Answer:
(0,3) AND (4, 11)
Step-by-step explanation:
y = 2(x^2) - 6x + 3
y = 2x + 3
Substitute
2x + 3 = 2(x^2) - 6x + 3
0 = 2(x^2) - 8x -->
0 = 2x(x - 4)-->
x = 0; 4 -->
y = 2(0) + 3 -->
y = 3
AND
y = 2(4) +3 -->
y = 11
(0,3) AND (4, 11)
A polynomial of the 5th
5thdegree with a leading coefficient of 77 and a constant term of66
Answer:
77x^5+66
Step-by-step explanation:
The leading coefficient is the first number in the polinomial, the degree is the exponent and the constant is the last term
Answer:
7x5 + 2x2 + 6
Step-by-step explanation:
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