Mathematics College

The latest online craze is a new game, Khan on Seven. You get 100 points for playing the game. In addition, you
get 50 points for each seven-letter word you make with the ten letters you receive. Sal wants to break the
record, and he needs 18,000 or more points to do so.
Write an inequality to determine the number of seven-letter words, w, Sal could make to break the record.
Graph the solution set to this inequality.
+
352
350
354
356
358
360
362
364
Switch direction
Make circle open

Answers

Answer 1

He needs 18,000 points.

He starts with 100, so subtract the 100 from 18,000 to get how many more points he needs:

18000 - 100 = 17,900 more points.

Divide the points needed by points per word:

17,900 / 50 = 358

He needs at least 358 words.

The inequality would be 50x+100>=18000, where x is the number of words.

Because 358 can be part of the solution, a solid dot on 358 and the line/arrow needs to point to the right for greater than.

Related Questions

Where would the shape be located after a rotation of 90 degrees clockwise about the origin?

Answers

Answer:

It should be the first quadrant

Hope that helps!

someone please help

What is the slope of the line shown below?
10
A. 3
61 (1,5)
B. 2
Oh
61,-1)
O c. -3
10
15
O D. -2
-102

Answers

Answer:

A. 3

Step-by-step explanation:

The formula for slope is (y2-y1)/(x2-x1), for two points (x1,y1) and (x2,y2) on the line.

Our points are (-1,-1) and (1,5):

(5-(-1))/(1-(-1))

6/2

The slope of the line shown below is 3.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have,

Points from the graph (1, 5) and (-1,-1).

So, the slope of line

= (-1 - 5)/ (-1 - 1)

= -6 / (-2)

= 3

Thus, the slope of line is 3.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ5

LMNP is a rectangle. Find the length of each diagonal. LN=x and MP=2x-9

Answers

Answer:

LN = MP = 9 units

Step-by-step explanation:

In rectangle LMNP, LN and MP are diagonals .

Measures of the diagonals of a rectangle are equal.

Therefore,

MP = LN

2x - 9 = x

2x - x = 9

x = 9

LN=x = 9 units

MP=2x-9 = 2*9 - 9 = 18 - 9 = 9 units

Plz help me I’m stuck

Answers

Answer:

$10.50

Step-by-step explanation:

15% of 70 = $10.50

Hope that helps! (Can you give me a brainliest please? It's ok if you don't!)

Answer: $10

Step-by-step explanation:

15%= 0.15

67.37×0.15= 10.1055 ≈ $10 when rounded to the nearest ten.

234.2 in expanded form

Answers

Answer:

Expanded Notation Form:

234.2

200

0.2

Expanded Factors Form:

234.2

2 ×

100

3 ×

4 ×

2 ×

0.1

Expanded Exponential Form:

234.2 =

2 × 102

3 × 101

4 × 100

2 × 10-1

Word Form:

234.2 =

two hundred thirty-four and two tenths

describe the graphs of 3x - y = 4 and y = 3x + 2?

Answers

Answer:

3X-y=4

3x=4+y

3x-4=y

y=3x-4

Step-by-step explanation:

y=3x+2

y-2=3x

3x=y-2

x=y-2/3

I hope this answer help you

I hope this helps with your problems and by the way it’s no solution

Can someone please help me understand this and the answer

Answers

Answer:

x ≤ 2

Step-by-step explanation:

A regular price bathing suit is $89.99. What is the new price if it on sale for 25% off the regular price?

Answers

Answer:

$67.49 and 1/4 of a cent

Step-by-step explanation:

25% of 89.99 = 224975

89.99-22.4975=67.4925

Answer:

25%=1/4 1/4 of 90= 22.5 90-22.5=67.5

Step-by-step explanation:

find the sum:
4/100 + 6/10

Answers

Hello there, and welcome to Brainly!

In the following, you are adding the fractions together. Remember that, when adding or subtracting fractions, the denominator (bottom number in the fraction) must be the same. What you do to the denominator, you must do to the numerator as well.

Multiply 10 to both the numerator and denominator of the second fraction:

(6/10) * (10/10) = 60/100

Add across:

4/100 + 60/100 = 64/100

64/100 is your answer.

What is the simplest form of the expression?
✓4502 +502 + 425
Assume all variables are positive.

Answers

Answer:

A. [tex] 8x\sqrt{5} [/tex]

Step-by-step explanation:

Given:

[tex] \sqrt{45x^2} + \sqrt{5x^2} + 4x\sqrt{5} [/tex]

Required:

Simplify

[tex] \sqrt{9*5*x^2} + \sqrt{5*x^2} + 4x\sqrt{5} [/tex]

[tex] 3x\sqrt{5} + x\sqrt{5} + 4x\sqrt{5} [/tex]

Add like terms

[tex] 8x\sqrt{5} [/tex]

Which statement is true about this data set?
3,1, 6, 4, 4, 4, 3, 2, 5, 3

Answers

Answer:

What statements?

Step-by-step explanation:

Is there a list of statements for this question? I would love to help!

1 4/5 divided by 2 7/10

Answers

Answer:

2/3

Step-by-step explanation:

In order to divide fractions, you'll have to multiply the first number by the second number's reciprocal.

So it would be 1 4/5 times the reciprocal of 2 7/10.

Reciprocal of 2 7/10 = Reciprocal of 27/10 = 10/27.

So 1 4/5 x 10/27 = 2/3

Answer:

2/3

Step-by-step explanation:

1 4/5 ÷ 2 7/10

Convert these into improper fractions

(Denomintaor × whole number + numerator)/denoninator

(5 × 1 + 4)/5

9/5

(10 × 2 + 7)/10

27/10

Now the equation says:

9/5 ÷ 27/10

Use the method copy dot flip, meaning rewrite the first fraction, change the division sign to multiplication, and use the reciprocal of the last fraction

9/5 × 10/27

Multiply the numerators and denominators separately

(9 × 10)/(5 × 27)

90/135

Simplify

Both 90 and 135 can evenly fit 15

90 ÷ 15 = 6

135 ÷ 15 = 9

6/9

This can still be simplified further

Both 6 and 9 can evenly fit 3

6 ÷ 3 = 2

9 ÷ 3 = 3

2/3

This cannot be simplified any further

simplify the expression 4x+2-1/2x

Answers

answer 41x

Step-by-step

En un modelo de un castillo, 1 pulgada equivale a 83 pies. El modelo mide 10.5 pulgadas de ancho. ¿Cual es el ancho real del castillo?
Ayúdenme porfavo ;w;

Answers

Responder:

1" = 83 ft

10.5" = 83*10.5=871.5 ft

Explicación paso a paso:

Espero que esto te ayude ¡UwU! Saludos, Jaclyn

Entry to a certain University is determined by a national test. The scores on this test are known to be normally distributed with a mean of 725 and a standard deviation of 115. Harriet wants to be admitted to this university and she knows that she must score better than at least 75% of the students who took the test. Harriet takes the test and scores 874.5. 1. (2pts) What percentile did Harriet score in? 2. (2pt) Will Harriet be admitted? Wh

Answers

Answer:

She scored in the 90th percentile.

90th percentile is better than 90% of the students who took the test, so yes, she will be admitted.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The scores on this test are known to be normally distributed with a mean of 725 and a standard deviation of 115.

This means that [tex]\mu = 725, \sigma = 115[/tex]

She must score better than at least 75% of the students who took the test.

So her z-score should have a pvalue of at least 0.75.

Harriet takes the test and scores 874.5. 1. (2pts) What percentile did Harriet score in?

We have to find the pvalue of Z when X = 874.5.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{874.5 - 725}{115}[/tex]

[tex]Z = 1.3[/tex]

[tex]Z = 1.3[/tex] has a pvalue of 0.9032

She scored in the 90th percentile.

Will Harriet be admitted?

90th percentile is better than 90% of the students who took the test, so yes, she will be admitted.

6p² equals to..................

Answers

Answer:

36p is the correct answer

Suppose weights of the checked baggage of airline passengers follow a nearly normal distribution with mean 46 pounds and standard deviation 3.7 pounds. Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee. (Round your answer to two decimal places.)

Answers

Answer:

85.99% of airline passengers incur this fee.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Mean 46 pounds and standard deviation 3.7 pounds.

This means that [tex]\mu = 46, \sigma = 3.7[/tex]

Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee.

As a proportion, this is 1 subtracted by the pvalue of Z when X = 50. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{50 - 46}{3.7}[/tex]

[tex]Z = 1.08[/tex]

[tex]Z = 1.08[/tex] has a pvalue of 0.8599

0.8599*100% = 85.99%

85.99% of airline passengers incur this fee.

Find the slope of the line passing through the points (-2,3) a
and
(-9,6).

Answers

Answer: Slope = -3/7

===================================================

Apply the slope formula

m = (y2-y1)/(x2-x1)

m = (6-3)/(-9-(-2))

m = (6-3)/(-9+2)

m = 3/(-7)

m = -3/7

Step-by-step explanation:

First try was incorrect
Hall is baking a pie. The radius of the pie is 17 inches. What is the
area of the pie?
Use 3.14 for pi and round your answer to the nearest tenth.
label required

Answers

Answer:

907.5

Step-by-step explanation:

Formula to find the area of a circle: πr²

πr² = 3.14 x 17²

= 3.14 x 289

= 907.46

≈ 907.5

Hope this helps :)

Write an equation in slope-intercept form that describes the relationship between the number of minutes, x, and the amount charged, y.

Answers

Answer:

y = 1/20x + 6

Step-by-step explanation:

The number of minutes is your x-value. The amount charged is your y-value.

Let's convert the numbers in the table into coordinates.

(30, 7.5)

(120, 12)

(220, 17)

Now, we will take two points and use the slope formula to plug into the slope-intercept equation: y = mx + b

I chose the first and last points given. All three points do not lie on the same line, but using the first and last point should be closer to the line of best fit.

(30, 7.5) & (220, 17)

m = (y₂ - y₁) / (x₂ - x₁)

m = (17 - 7.5) / (220 - 30)

m = (9.5) / (190)

m = 0.05 = 5/100 = 1/20

m = 1/20

Plug m into your equation.

y = 1/20x + b

To find b, plug in a point for x and y.

17 = 1/20(220) + b

17 = 11 + b

b = 6

Answer: a. This line's slope-intercept equation: y=-9.7x+417.1

b. 31 minutes after the experiment started, there would be 116.4 grams of gas left.

c. If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.

Step-by-step explanation:

Linear equation: y=mx+c (slope-intercept equation)

, where m= rate of change in y with respect to change in x , c= Initial value.

Let y= Mass of remaining gas after x minutes.

m= -9.7 (given)

At x= 8, y=339.5

Thus,

[tex]339.5=(-9.7)(8)+c\\\\\Rightarrow\ 339.5=-77.6+c\\\\\Rightarrow\ c= 339.5+77.6=417.1[/tex]

a. This line's slope-intercept equation: y=-9.7x+417.1

b. At x= 31 minutes

y=-9.7(31)+417.1

⇒ y=-300.7+417.1

⇒ y=116.4

31 minutes after the experiment started, there would be 116.4 grams of gas left.

c. Put y=0, we get

[tex]0=-9.7x+417.1\\\\ x=\dfrac{417.1}{9.7}\\\\ x=43[/tex]

If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.

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