Basic Algebraic Inequalities (L3) Sep 07, 2:42:46 PM Watch help video Select the values that make the inequality inequality, in terms of g. (Numbers written in order from least to greatest going across.) □ 48 ☐ 63 □ 67 □ 56 64 Submit Answer 0 72 Equivalent Inequality: g g > 8 true. Then write an equivalent ☐ 61 ☐ 65 0 80 attempt 1 out​

The value of y when z is 220 is 5.2. This answer is in simplified form, as 5.2 is already in its simplest fractional form.

If two variables vary inversely, it means that their product is always constant. In this case, we are given that y varies inversely as z, and that y is 26 when z is 44. This means that the product of y and z is 26 * 44 = 1144. We are asked to find the value of y when z is 220. To do this, we can use the fact that the product of y and z is constant. Since the product of y and z when z is 44 is 1144, the product of y and z when z is 220 must also be equal to 1144. Setting up the equation y * 220 = 1144 and solving for y, we find that y = 5.2. This means that the value of y when z is 220 is 5.2.

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A. Ram spent $18 on six pens and six books. The grand total is $72.

B. The cost of each pen is $9.

C. The variable is called x.

What is an equation?

A set of variables, constants, and mathematical operations such as addition, subtraction, multiplication, or division balanced by the equal sign is known as an equation. The equation's left-hand side (LHS) is on the left side, and its right-hand side (RHS) is on the right side (RHS).

Here, we have

Given: the equation 6x + 18 = 72:

A. The issue is that Ram spent $18 on six pens and six books. The total amount he paid is $72.

B. The following equation will be used to demonstrate this:

6x + 18 = 72

Compile similar terms.

6x = 72 - 18

6x = 54

On dividing,

x = 54 / 6.

x = $9

Hence, each pen will set you back $9.

C. The variable's value is x = 9.

Hence, the pen's price is 9.

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Answer:

D

Step-by-step explanation:

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  =  $272,090

      A) - Calculate the Percentage of the Value Remaining After the Decrease

       B) - Calculate the NEW VALUE of the house

A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE

      100%  -  9%  =  91%

        0.91

B) - Calculate the NEW VALUE of the house:

NEW VALUE  =  OLD VALUE  *  REMAINING PERCENTAGE

NEW VALUE  =  299,000  *  0.91

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  = $272,090

I hope it helps!

Answer:

90.2mm

Step-by-step explanation:

find the circumference and divide by two then add the two sides

circumference= 2πr=2π(16)

100.48/2= 50.24

50.24+20+20=90.24mm then round to 90.2

Answer:

10.5%

Step-by-step explanation:

Probability of Favoring Project

A poll is given, showing 40% are in favor of a new building project.

If 10 people are chosen at random, what is the probability that exactly 7 of them favor the new building project?

To solve this problem, we need to use the binomial probability formula:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

Where:

P(X=k) is the probability of getting exactly k successes

n is the total number of trials

p is the probability of success in each trial

(1-p) is the probability of failure in each trial

(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items

In this case, we have:

n = 10 (we are choosing 10 people at random)

k = 7 (we want exactly 7 of them to favor the new building project)

p = 0.4 (the probability of favoring the new building project)

Using the formula, we get:

P(X=7) = (10 choose 7) * 0.4^7 * 0.6^3

= 120 * 0.004096 * 0.216

= 0.105

Therefore, the probability of exactly 7 out of 10 people favoring the new building project is 0.105, or about 10.5%.

ChatGPT

The correct statements are;

The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.

The point of intersection of the two functions indicates that the functions are inverses.

Option C and D

To accurately compare a function and its inverse based on the graphs, we have to know the following;

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Answer:

5km

Step-by-step explanation:

A - her office

E - her home

AB = 1km; BC = CE = 4km

AE - the shortest disctance between her office and home.

ADE - right triangle, where AD = 4km, ED = 3 (EC - CD) =>

According to the Pythagorean theorem , we make up the equation:

AE = √ED^2 + AD^2 = √25 = 5km

Answer:

Step-by-step explanation:

a. P (red) = 2/9

b. P (blue) = 3/9 = 1/3

c. P (green) = 4/9

d. Green, because out of the three types of gumballs, the green gumballs are more in number, therefore, it is the one you are most likely to get.

The value οf P(x > 104) is 0.1587 οr apprοximately 15.87%.

Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.

Tο find the prοbability οf P(x > 104) fοr a nοrmal distributiοn with mean οf 98 and standard deviatiοn οf 6, we need tο standardize the value οf 104 using the fοrmula:

z = (x - μ) / σ

where z is the standard scοre, x is the value we want tο find the prοbability fοr, μ is the mean οf the distributiοn and σ is the standard deviatiοn.

Plugging in the values, we get:

z = (104 - 98) / 6 = 1

Nοw we need tο find the area tο the right οf this value οn the standard nοrmal distributiοn table οr calculatοr.

Using a standard nοrmal distributiοn table οr calculatοr, we find that the area tο the right οf z = 1 is 0.1587.

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Explanation:

Let's say the lawn is 120 square feet. I picked 120 as it is the LCM (lowest common multiple) of 60 and 40.

Since Wilma can mow the lawn in 60 minutes, her rate is 120/60 = 2 sq ft per minute. In other words, each minute means she gets 2 more square feet mowed. Rocky can do the full job on his own in 40 minutes, so his rate is 120/40 = 3 sq ft per minute.

Their combined rate, if they worked together (without slowing each other down), would be the sum of the two rates. So we get 2+3 = 5 sq ft per minute as the combined rate. The total time it would take for this 120 sq ft lawn is 120/5 = 24 minutes.

--------------------------

Another approach

Wilma takes 60 minutes to do the full job, so her rate is 1/60 of a lawn per minute. Rocky's rate is 1/40 of a lawn per minute. Their combined rate is

1/60 + 1/40 = 2/120 + 3/120 = 5/120 = 1/24 of a lawn per minute

x = number of minutes

(combined rate)*(time) = number of jobs done

(1/24)*x = 1

x = 1*24

x = 24 is the time it takes if they worked together without getting in each other's way.

Effectively, we are solving the equation

1/A + 1/B = 1/C

with

A = time it takes Wilma to do the job on her own

B = time it takes Rocky to do the job on his own

C = time it takes the two working together to get the job done

The equation above is equivalent to C*(1/A + 1/B) = 1 or (1/A + 1/B)*C = 1.

So basically you find the value of 1/A + 1/B, then find the reciprocal of this to get the value of C.

Together they can mow the lawn in 24 minutes.

Time and efficiency are inversely proportional to each other.

Time and work are directly proportional to each other.

Given, Wilma can mow a lawn in 60 minutes. Rocky can mow the same lawn in 40 minutes.

Assuming total work to be 120 as it is the LCM of 40 and 60.

So, The efficiency of Wilma is (120/60) = 2 and the efficiency of Rocky is

(120/40) = 3.

Now together their efficiency is (2 + 3) = 5.

∴ Together they can complete the work in (120/5) = 24 minutes.

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Answer:

z  = 66

Step-by-step explanation:

QT is the midline of triangle RSU.

Using the property of the midline in a triangle, you have:

RS = 2 x QT

or

z = 2 (z - 33)

Expand the right side, you have:

z = 2z - 66

or

2z - z = 66

or

z = 66

Answer:

z  = 66

Step-by-step explanation:

QT = z - 33

z  = 66

Answer:

here's the answer

Step-by-step explanation:

y= -3/2x -10

Answer:

4

Step-by-step explanation:

price=Rs 80

discount=10 %

selling price of dozen pairs of gloves=80×90/100=Rs 72

with Rs 72 pair of gloves available=12

''       Rs 24 ''     ''    ''              ''      =12/72×24=4

Answer: wow here's answer its 4

Step-by-step explanation:

Answer:

4

Do you need an explanation?

Answer:

Option 3.

Step-by-step explanation:

Let T=Total, B=Brother and S=Sister. By using given diagram, we get

\(n(B)=28+68=96\)

\(n(S)=82+68=150\)

\(n(T)=28+68+82+52=230\)

\(n(B\cap S)=68\)

Using this information, we get

\(P(B)=\dfrac{n(B)}{n(T)}=\dfrac{96}{230}\approx 0.42\)

\(P(S)=\dfrac{n(S)}{n(T)}=\dfrac{150}{230}\approx 0.65\)

\(P(S|B)=\dfrac{P(B\cap S)}{P(B)}=\dfrac{n(B\cap S)}{n(B)}=\dfrac{68}{96}\approx 0.71\)

\(P(B|S)=\dfrac{P(B\cap S)}{P(S)}=\dfrac{n(B\cap S)}{n(S)}=\dfrac{68}{150}\approx 0.45\)

The probability P(S|B) has the largest value.

Therefore, the correct option is 3.

y-(-9) = -6(x-(-4)), y = -6x-33

The numbers are compared with the inequality symbols as follows:

a. 3 > -3.

b. 12 < 24.

c. -12 > -24.

d. 5 = - (-5).

e. 7.2 > 7.

f. -7.2 < 7.

g. -1.5 = -3/2.

h. -4/5 > -5/4.

i. -3/5 = -6/10.

j. -2/3 < 1/3.

The inequality symbols used in this problem are defined as follows:

The observations to some items are given as follows:

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The correct options are -

When something is bought on credit, an initial payment is made in the form of a down payment.

Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.

We can calculate the amount she is putting in down payment as -

{x} = 20% of 125000

{x} = 20/100 x 125000

{x} = 20 x 1250

{x} = 25000

Therefore, the correct options are -

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Answer:

B

Step-by-step explanation:

Answer:

-7-63a

Step-by-step explanation:

-7(1 + 9a)

(use the distributive property of multiplication to simplify)

-7-63a

Answer:

Thats for question number 4 and 5, i don't know for 3

Answer:

437

Step-by-step explanation:

21850/100 * 2 = 437

Answer:

k=8

Step-by-step explanation:

9+8 = 17

Answer:

Please pick Answer A

Step-by-step explanation:

MARKIPLIER AND LIXIAN

Answer:

.250 L

Step-by-step explanation:

We know that 1 L = 1000 mL

250 mL * 1L /1000 mL = .250 L

Answer:

Step-by-step explanation:

its 1/25 or .25 liters. A milliliter (ml) is one thousandth of a liter, so 1000 ml would be 1 liter. Btw, why is he measuring broccoli in ml?

Answer:

hsnsnzjzhjzzjj727272727nJsjshs

a. It represents the spread of the middle 50% of the data.

b. At least 50% of the students scored between 80 and 86.

c. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.

How evenly distributed the middle 50% of the data is is determined by the interquartile range. In order to calculate it, the first quartile is subtracted from the third quartile.

A. The interquartile range (IQR) in a box-and-whisker plot is the distance between the first quartile (Q1) and the third quartile (Q3) of the data. It represents the spread of the middle 50% of the data.

B. To determine what percent of the students got 80% or higher, we need to find the upper fence, which is defined as 1.5 times the IQR above Q3. From the box-and-whisker plot, we can see that Q3 is approximately 86 and Q1 is approximately 71. Therefore, the IQR is 86 - 71 = 15. The upper fence is 1.5 * 15 + 86 = 108.5.

Looking at the plot, we can see that there are no data points above 100, so we can safely assume that no students scored above 100%. The highest score is 94, which is within the whiskers of the box-and-whisker plot. Therefore, we know that the percent of students who scored 80% or higher is between the percent of students who scored 80% or higher and the percent of students who scored 94% or higher.

From the plot, we can see that the median is approximately 80 and the third quartile (Q3) is approximately 86. This means that at least 50% of the students scored between 80 and 86. Additionally, we know that the maximum score is 94, so we can say that at least some students scored higher than 86. However, we don't know how many students scored between 86 and 94.

C. Based on the interquartile range, we can say that the middle 50% of the students scored between approximately 71 and 86. This suggests that there is a significant amount of variability in the test scores, as the range is quite wide. Additionally, we know that at least some students scored above 86, but we don't have enough information to determine how many or how high their scores were. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.

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Step-by-step explanation:

180-86= 94 is the answer