Mathematics High School

What are the solutions of the inequality? 12x – 3x + 11 > 4x – (17 – 9x) a. x > –7 b.x > −1411 c. x < −1411 d.x < 7

Answers

Answer 1
Answer: option d. x < 7

Explanation:


1) given: 12x – 3x + 11 > 4x – (17 – 9x)


2) expand the parenthesis: 12x - 3x + 11 > 4x - 17 + 9x

3) combine like terms on each side: 9x + 11 > 13x - 17

4) subtract 9x and add 17 to both sides:9x - 9x + 11 + 17 > 13x - 9x - 17 + 17

5) combine like terms: 28 > 4x

6) divide both sides by 4: 7 > x

That is x < 7 which is the option d.

Related Questions

Find the length of the third side of a right triangle with a hypotenuse of 17 and a leg of 10.

Answers



You need to use the Pythagorean theorem.
[tex]{a}^{2} + {b}^{2} = {c}^{2} [/tex]
The hypotenuse is "c" and each leg is either "a" or "b".
[tex] {10}^{2} + { x}^{2} = {17}^{2} [/tex]
[tex]100 + {x}^{2} = 289 \\ {x}^{2} = 189 \\ x = 13.7477270849[/tex]

If y varies directly as x and y=12 when x=72, find x when y=9

Answers

You can do 12/72 = 9/x. You cross multiply and it becomes 12x = 648. Divide 648 by 12, and x equals 54.
9 x 72 = 648

648 ÷ 12 = 54

x = 54

Hope this helps :)

GEOMETRY HELP 70 POINTS FAST!!!!!!!

FIND SURFACE AREA. IT’S OKAY IF YOU DID ONE BUT I WOULD PREFER IF YOU DID BOTH THANKS

Answers

8)  Surface area:  PI x 9 x (9 + 20.1) = 822.78 mi^2

9) Surface area = PI x 3 x (3+8.5) = 108.38 yd^2


9)D
Because you already have your radius but you need to find your hight. You use a triangle and do a^2+b^2=c^2 and that gives you 9.75. Then plug those two numbers into the surface area of a cone equation.
8)C
Because you need to find something the radius by dividing 18 by 2 which gives you 9. Then you need to find the hight which you make a triangle and do a^2+b^2=c^2 and that gives you 19.98. And plug those numbers into the surface area of a cone formula

Jamal baked muffins for the school bake sale. He made 12 corn muffins and 15 blueberry muffins. What is the ratio of blueberry muffins to all muffins?

Answers

The answer is 15:27 then simplify it to 5:9
hope it helps! <3

Answer:

5:9

Step-by-step explanation:

A 9 cm tall cone shaped paper cup can hold up to 58.9 cm cubed of water. What is the minimum amount of paper needed to make the paper cup, assuming no overlap in the paper? Use 3.14 for π.

Answers

We need to calculate the area of the cone to know how much paper is needed.
 To calculate the cone area we need to know the radius.
 We do not have the radio, but we have the volume.
 So:
 r = √(3×V) / h
 r = 4,431cm
 Now we calculate the generatrix g.
 If we make a lateral projection of the cone, we have a triangle whose height is h = 9cm. The base is the radius r = 4,431cm and the hypotenuse is the generatrix g.
 So:
 g = √(r ²+ h²)
 g = 10.03cm
 Finally the area of a cone is given by the formula:
 A = pi × r ×(g + r)
 A = 201.30 cm²

A rectangular floor space in a community center is 40 ft long and 32 ft wide. A volunteer is setting up chairs on the floor space. Each chair needs an area of approximately 4 ft by 5 ft.



Which estimate best approximates the number of chairs that can be set up on the floor space?


A. 20

B. 60

C. 260

D. 320

Answers

It is B because 40x32=1280 and 5x4=20 then divide 1280 by 20 and you get 64 but you can’t have 64 so you would need to only have 60 so the answer is B

Answer:

60

Step-by-step explanation:

Just confirming for the K12 students ;)

Heidi has $4.55. She needs to buy bolts at the hardware store . Bolts cost$0.13 each. How many bolts can Heidi buy.

Answers

1 bolt = $0.13

Number of bolts she can buy = $4.55 ÷ $0.13 = 35

Answer: 35
Hey there!

One bolt = $0.13
Hence, divide 4.55 by 0.13

[tex]4.55 \div 0.13 = 35[/tex]

Answer : Heidi can buy 35 bolts.

Hope this helps. - M

The Big Dipper ice cream store charges 25 cents for a cone and 75 cents for each scoop of ice cream added to the cone. What will a customer pay for a double dip ice cream cone?

Answers

Double dip ice-cream cone = 25 + 2(75) = 175 cents = $1.75


Answer: $1.75
Solution:
He wants technically 2 scoops of ice cream which is 0.75 + 0.75 = $1.50
He only wants 1 cone so thats $0.25

Final Total:
1.50 + 0.25 = $1.75

He will pay $1.75 for a Double Dip Ice Cream Cone!

N a hearing test, subjects estimate the loudness (in decibels) of a sound, and the results are: 68, 67, 70, 71, 68, 75, 68, 62, 80, 73, 68. what is the mean?

Answers

The mean would be 70

Susan and betsy bought sport supplies for summer camp. susan bought six basketballs and one soccer ball for $27. betsy bought four basketballs and two soccer balls for $22. how much do basketballs cost? how much do soccer balls cost?

Answers

For this case, the first thing we must do is define variables:
 x: cost of each basketball
 y: cost of each soccer ball
 We now write the system of equations:
 6x + y = 27
 4x + 2y = 22
 Solving the system we have:
 x = 4 $
 y = 3 $
 Answer:
 basketballs cost $ 4
 soccer balls cost $ 3

Which choice is similar to the figure shown?

Answers

b. 

Take 45/30, you get 1.5. 1.5 x 20 = 30. 

Hope I helped! 

what percentage does the third quartile represent?

Answers

Since the data is split, the third quartile would represent 25% of the total data, but the top 75%. It depends what the problem is asking.
The third quartile (also called the upper quartile) has 75 percent of the data below it and the top 25 percent of the data above it on a box and whisker plot! Hope this helps!

The frequency of A4 is 440.00 Hz. What is the frequency of A6, which is two octaves above A4?
A) 110.00 Hz
B) 220.00 Hz
C) 880.00 Hz
D) 1760.00 Hz

Answers

The correct answer is: 1760.00 Hz

Explanation:
The formula to find the unknown frequency is:
(2^n)*f

Where n = Number of octaves above to the known frequency (A4) = 2
f = Known frequency (of A4) = 440 Hz

Hence
(2^2)*(440)
1760 Hz (of A6)

Which expression is equal to sin 75°? sin 135° cos 60° – cos 135° sin 60° cos 135° cos 60° + sin 135° sin 60° sin 135° cos 60° + cos 135° sin 60° cos 135° cos 60° – cos 135° cos 60°?

Answers

These are the sum/difference formulas in trigonometry. The first formula is in accordance with sin ( α - β ) = sinα *cosβ - cosα * sinβ. If we combine the first one with this formula, we'll obtain sin 135° cos 60° – cos 135° sin 60° = sin (135-60) = sin75° 

Answer:

The answer is A

A radio station wants to determine whether its audience would like to listen to more rap music. It asks its listeners to call in and participate in a survey. Each listener is asked: “Do you want us to play more rap music or less rap music?” One hundred fifty listeners call in, and their responses are recorded.
What is the focus of the study?


The type of music listeners want to hear.


The playing of rap music.


The number of listeners who respond.


The response of the listeners.

Answers

A radio station made a survey of their listeners to determine whether the audience would like to listen to more rap music. They asked the question “Do you want us to play more rap music or less rap music?” The station recorded one hundred fifty listeners who call in.

The focus of the study is about the playing of the rap music because it is what the question is about. Not the type of music listeners want to hear, nor the number of listeners who respond nor the response of listeners.

the response of listeners to give opinion on to play more or less rap music

A park in a subdivision has a triangular shape. Two adjacent sides of the park are 533 feet and 525 feet. The angle between the sides is 53 degrees. Find the area of the park to the nearest square foot.

Answers

Answer:

The area of the park is 1,11,739 square feet.

Step-by-step explanation:

Since, the area of a triangle is,

[tex]A=\frac{1}{2}\times s_1\times s_2\times sin\theta[/tex]

Where, [tex]s_1[/tex] and [tex]s_2[/tex] are the adjacent sides and [tex]\theta[/tex] is the included angle of these sides,

Here, the two adjacent sides of the park are 533 feet and 525 feet, while, the angle included by these sides is 53°.

That is,  [tex]s_1[/tex] = 533 ft, [tex]s_2[/tex] = 525 ft and [tex]\theta[/tex] = 53°,

Hence, the area of the park is,

[tex]A=\frac{1}{2}\times 533\times 525\times sin 53^{\circ}[/tex]

[tex]=\frac{279825\times 0.79863551004}{2}[/tex]

[tex]=\frac{223478.181599}{2}=111739.090799\approx 111739\text{ square ft}[/tex]

how do you subtract 42 minutes from 1 hour ,25 minutes.explain what to do and why you do it?

Answers

So 1 hour= 60 minutes
60+25= 85 minutes
Now we should subtract the 42
85-42=43

if a train travels 25 miles in 2 hours and 15 minutes, what is it's average speed in miles per hour?
• 10 mph
• 11.1 mph
• 12.5 mph
• 9.1 mph

Answers

2 hours 15 mins = 2 1/4 hours

2 1/4 hours = 25 miles

1 hour = 25 ÷ 2 1/4 = 25 ÷ 9/4 = 25 x 4/9 = 11.1 miles

Answer: 11.1 mph

The total cost of a jacket and a pair of shoes was $99.15. if the price of the jacket was $5.81 less than the pair of shoes, what was the price of the jacket? express your answer as a simplified fraction or a decimal rounded to two places.

Answers

Let x = price of shoes
Then price of jacket would be x - 5.81
Combining the two would give you
x + x - 5.81 = 99.15
combining like terms simplifies to 2x - 5.81 = 99.15;
now adding 5.81 to both sides of the equal sign leaves
2x = 104.96
and finally, dividing both sides by 2, gives x = $52.48; which is the cost of the shoes.  Recall, the cost of the jacket is 5.81 less than the cost of the shoes.
so, COST OF THE JACKET is 52.48 - 5.81 = $46.67

Final answer:

To find the price of the jacket, set up a system of equations with the given information and solve for the jacket's price. The final calculated price of the jacket is $46.67.

Explanation:

The total cost of a jacket and a pair of shoes was $99.15. The price of the jacket was $5.81 less than the pair of shoes. Let's denote the price of the jacket as j and the price of the shoes as s. The problem gives us the following system of equations:

1) j + s = $99.15

2) s = j + $5.81

By substituting equation 2 in equation 1, we get:

3) j + (j + $5.81) = $99.15

Simplify and solve for j:

4) 2j + $5.81 = $99.15

5) 2j = $93.34

6) j = $46.67

Therefore, the price of the jacket is $46.67, which is the answer rounded to two decimal places as the student requested.

what is the inch equivalent of 32.5 mm to the nearest 0.0001

Answers

3.25 mm = 3.25 cm, 30 cm = 12 inches. So, 12/30 x 3.25 = 1.3
25.4 mm = 1 inch

32.5 mm * 1 inch / 25.4 mm = 1.2795275591 inches
or to the nearest .0001 inch,
1.2795 inches


At the start of an experiment , there are 30 bacteria dish. The bacteria population is expected to grow at a rate of 180% each day. Which is the best prediction for the bacteria population after 7 years?

A.51,750
B.40,479
C.2682
D.1837

Answers

The problem is stated incorrectly.  It should be 7 DAYS and NOT years.

ending amount = beginning amount * (1.8)^days
7 years = 2,555 days
ending amount = 30 * 1.8^7
ending amount = 30 * 61.2220032
ending amount = 1836.660096 or 1,837 (rounded)
answer is D.


The Comegna family wants to build a human pyramid when they go to the beach this summer. They will put one person on top and add 2 more people for each descending row.
a. How many people will be in the seventh row?
PLEASE HELP!! the rest are in the attachment

Answers

Part 1:
a. Number of people in the seventh row will be as follows:

d=2
a1=1
n=7
thus the number of people in the 7th row will be obtained using the explicit formula:
an=a1+(n-1)d
a7=1+(7-1)2
a1=1+12
a1=13

b. Total number of people in 7 rows will be calculated using the formula:
sn=n/2(a1+an)
plugging in the values:

s7=7/2(1+13)
s7=7/2(14)
s7=49

c. Total number of people required to make 10 rows will be:
n=10
a1=1

a10=1+(10-1)2
a10=1+18
a10=19
thus
s10=10/2(1+19)
s10=100
It will take 100 children

d. To get the number of rows the Simpsons Pyramid had we shall use the explicit formula:
an=a+(n-1)d
d=4
a1=1
an=37
plugging in the values we get:
37=1+(n-1)4
solving for n:
36=4n-4
40=4n
n=10
thus the number of rows would be 10 

e. Total number of people will be:
d=4
n=10
a1=1
Sn=n/2(a1+an)
Sn=10/2(1+37)
Sn=190

PART 2: Geometric sequence and series
The video does not function.

Maya is trying to break or tie the league record for home runs in her softball league. She solved the inequality mc019-1.jpg to find the minimum number of home runs she must average per week over the five remaining weeks of the season to break or tie the record. What error did Maya make when she chose this inequality to model the situation?

She chose the incorrect relation and should have solved 5x<30

She modeled “average” incorrectly and should have solved x/5<_30

She chose the incorrect relation and should have solved 5x_>30

She modeled “average” incorrectly and should have solved x+5<_30

Answers

The correct answer would be letter C. She needs to either break or tie the record. The less than or equal to symbol in the original inequality would be her scoring less or tying the record. Using the greater than or equal to sign would represent her breaking the record or tying with it. Hope this helped.
Final answer:

Maya made an error in her chosen inequality by focusing on a minimum rather than the goal of breaking or tying the record. Assuming the record is 30, she should have used the inequality 5x >= 30, where x is the average number of home runs needed per week.

Explanation:

It appears that Maya has made an error when she chose the inequality to model the situation. Since Maya is trying to break or tie the league record for home runs, she should be considering how many home runs she needs to hit in order to exceed or equal the current record, rather than considering a minimum. Her inequality should reflect the desired goal. If the league record is 30 home runs, for example, and there are 5 weeks left in the season, Maya might want to know how many home runs she must hit on average each week to break the record. Therefore, she should have solved the inequality 5x >= 30, where x represents the number of home runs she needs to hit on average each week.

Learn more about Mathematical modeling here:

https://brainly.com/question/33446037

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The daily intakes of milk (in ounces) for ten randomly selected people were: 26.0 13.0 13.5 14.8 19.1 13.6 21.6 30.8 15.8 14.1 find a 99% confidence interval for the population standard deviation σ.

Answers

Final answer:

To establish a 99% confidence interval for the population standard deviation, we first need to calculate the sample standard deviation of the data. We then use the Chi-Square distribution with the appropriate degrees of freedom to get the interval. The formula [√((n-1)*s²/χ²0.995,n-1), √((n-1)*s²/χ²0.005,n-1)] can be applied.

Explanation:

This question refers to constructing a 99% confidence interval for the population standard deviation using the information from a sample. The mentioned sample comprises measures of daily intakes of milk in ounces for ten randomly selected people. To address this, first, we need to calculate the sample standard deviation. After that, we use Chi-Square distribution (χ² distribution) to create the confidence interval for the standard deviation since population standard deviation (σ) is unknown.

Let's denote:

n as number of observations: n=10s as sample standard deviationχ²(α/2,n-1) as the χ² value for α/2 (± z-score for standard normal distribution) with n-1 degrees of freedom

99% confidence interval for the population standard deviation σ can be found using the formula:
[√((n-1)*s²/χ²0.995,n-1), √((n-1)*s²/χ²0.005,n-1)]
Here, χ²0.995,n-1 and χ²0.005,n-1 represent the values from χ² distribution table corresponding to 0.005 and 0.995 (For 99% confidence interval, α=1-0.99=0.01. α/2=0.01/2=0.005) with n-1 degrees of freedom.

Please note that all numbers should be rounded according to the context, and the final values are but estimates that should not be treated as 100% accurate.

Learn more about 99% confidence interval for population standard deviation here:

https://brainly.com/question/34119117

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Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain. Given XY = WZ and XW = YZ
a.

No; you cannot determine that the quadrilateral is a parallelogram.


b.

Yes; two opposite sides are both parallel and congruent.


c.

Yes; opposite sides are congruent.


d.

Yes; diagonals of a parallelogram bisect each other.

Answers

The best answer is Letter C - Yes, opposite sides are congruent.

If both pairs of opposite sides of a quadrilateral are congruent, then you'll always have two opposite pairs of parallel sides. Congruent means that they measure the same. Since two congruent sides separating the other pair of opposite sides must always keep those opposite lines the same distance apart, then, the opposite sides are also parallel.

From the information provided a.  No; you cannot determine that the quadrilateral is a parallelogram.

A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and congruent to each other. The diagonals of a parallelogram bisect each other.

Given XY = WZ and XW = YZ, this means that the opposite sides are congruent.

Just from the information provides,  we cannot determine that the quadrilateral is a parallelogram.

Find out more at: https://brainly.com/question/555469

How many dimes in 1898.59

Answers

all you do is divide by 10

there are 189 whole dimes
There are 18,985 dimes in $1,898.59.

Since there are 10 dimes per dollar, you'd multiply $1,898 by 10, to get your final answer (18,985 dimes).

I hope this helps!

I keep getting 70 but that's not an answer??

Betty's bite size candies are packaged in bags the number of candies per bag is normally distributed with a mean of 50 candies and a standard deviation of 3. At a quality control checkpoint a sample of bags is checked and 12 bags contain fewer than 47 candies how many bags were probably taken as samples?

a) 15
b) 75
c) 36
d) 24

Answers

The standard deviation is 3 , so 50 -47 = 3, means the 47 candies is 1 deviation below the mean.

A normal distribution, 68% of the sample falls within 1 standard deviation, which means 100-68 = 32 is out side the mean. Half of that, 32 / 2 = 16% is above and the other half (16%) would be below.

 12 bags were below, so we would do a ratio, with the percentages as a whole number, so 16% = 16 and 100% = 100:

12/16 = X/100

Cross multiply: 16x = 1200

Divide both sides by 16:
X = 1200/16
X = 75
 

The answer is 75 bags were tested.


Ed and Marge were candidates for the city council. Marge won with 93 more votes than Ed. The total number of votes cast in the election was 587. Find the number of votes received by each candidate.

Answers

587-93=494
so ed had 494 votes
I think it would be 494/2=247 votes

what is the image of point (3,4) for mapping (x.y) , (x+4, y+6)

Answers

That would be (3 + 4, 4 + 6)  =  (7, 10) Answer

How many turning points are in the graph of the polynomial function?



2 turning points
3 turning points
4 turning points
5 turning points

Answers

A point of inflection is that point where the function changes sign.
 We then have to look for the slope changes in the given function,
 We have inflection points in:
 4 points of the given graph.
 Answer:
 4 turning points
Answer: four turning points.

Explanation:

The turning points are those points where the graph changes direction, i.e. where the function changes from growing to decreasing or from decreasing to growing.

That is the typical behavior of polinomial and it is related with the degree of the polynomial.

In this case, since you have the graph you can directly telling the turning points. Those are near x = - 2, x = -1, x = 1 and x = 2, i.e. four turning points.

Those turning points correspond to local maxima (if the function changes from growing to decreasing) or local minima (if the function changes from decreasing to growing).
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