Ten less than 5 times the value of a number is equal to 10 times the quantity of
12 more than one-fourth of the number. If a is the number, what is the value of a?

The graph that represents the solution to the linear inequality −3x − 3y ≥ 6 is given as follows:

The graph shows a solid line, which passes through a point (-2,0) and a point (0,-2), with shading below the line.

The graph is presented at the end of the answer.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

The inequality for this problem is given as follows:

−3x − 3y ≥ 6

In slope-intercept format, we have that:

3y ≤ -3x + 6

y ≤ -x - 2.

Hence the intercepts are:

Due to the equal sign, the graph is a solid line, and the shading is below the line, as the inequality is the amounts lower than the line.

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The likelihood that x exceeds 35 is around 0.9822, or 98.22%.

How probable something is to happen is determined by its probability. The probability is computed by dividing number of possible outcomes by the number of possible ways the event might occur.

For a randomly distributed variable with mean Equal 50 with standard deviation = 7, we may use the conventional normal distribution table, commonly referred to as the Z-table, to determine the likelihood that x > 35.

The Z-score is obtained by first standardizing the variable x by removing the mean and subtracting the standard deviation.

(x - µ) / σ = (35 - 50) / 7 = -2.14

This means that x = 35 is 2.14 standard deviations below the mean.

Now, we can use the Z-table to find the probability of a Z-score less than -2.14.

The probability P(x > 35) is equal to 1- P(x < 35) = 1 - P(Z < -2.14) =1-0.0178 = 0.9822.

Therefore, the probability that x is greater than 35 is approximately 0.9822 or 98.22%.

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Answer:

6 223/250

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

6.892=6.8921

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000

6.8921×10001000=6892/1000

Find the Greatest Common Factor (GCF) of 6892 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 4,

6892÷41000÷4=1723/250

Simplify the improper fraction,

=6 223/250

In conclusion,

6.892=6 223/250

6.892

.892 = 892/1000

Answer: 6_892/1000

You can reduce 892/1000 if needed. I'll let you do that.

Answer:

hope it helped you...! :)

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y yand solve for  x . To find the y-intercept, substitute in  0  for  x and solve for  y .

x-intercept(s):  ( 6 , 0 )

y-intercept(s):  ( 0 , − 2 )

Use the slope-intercept form  y = m x + b to find the slope  m and y-intercept  b .

Slope: \(\frac{1}{3}\)

graph in pic

(Credit: M a t h w a y)

a) A negative number on the x-axis (-a, b) would move in the left direction by one unit.

To find out why, check point (0, b) on the y-axis and point (-a, b) on the x-axis.

The distance between these two points is a unit, meaning that the point (-a, b) is one unit to the left of the point (0, b).

b) A positive number on the x-axis (+a, b) would move in the right direction by a unit.

Again, let's look at the point (0, b) on the y-axis and the point (+a, b) on the x-axis.

The distance between the two points is also one unit, which means the point (+a, b) is one unit to the right of the point (0, b).

c) A negative number on the y-axis (a, -b) would move in the downward direction by b units.

Assume that point (a, 0) is on the x-axis and point (a, -b) is on the y-axis. The distance between them is b units, which means that the point (a, -b) is b units below the point (a, 0).

d) A positive number on the y-axis (a, +b) would move in the upward direction by b units.

Also, check the point (a, 0) on the x-axis and point (a, +b) on the y-axis. The distance between these two points is b units, which means that the point (a, +b) is b units above the point (a, 0).

A number is a mathematical term used to show the quantity or value of a thing. It can be depicted using numerals, symbols, or words.

Examples include 30, hundred, -8, 6x, "5", 0.67, etc.

Numbers can be Positive - numbers greater than zero, or negative - numbers less than zero.

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Check the picture below, recall that the radius of a circle is always the same length in the circle.

The equation that corresponds to fraction   \(\frac{7^{-10} }{(7^{4} )(7^{0} )}\) is \(\frac{1}{7^{14} }\) . A phrase by itself could contain an action .

It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: Expression: (Math Operator, Number/Variable, Math Operator). A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to compare expressions and phrases. In English, a phrase by itself could contain an action, but it doesn't constitute a full sentence.

given

\(\frac{7^{-10} }{(7^{4} )(7^{0} )} \\= \frac{1}{7^{4} } *\frac{1}{7^{10} } * 1\\= \frac{1}{7^{14} }\)

The equation that corresponds to fraction   \(\frac{7^{-10} }{(7^{4} )(7^{0} )}\) is  \(\frac{1}{7^{14} }\) .

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Answer:

C) 51

Step-by-step explanation:

\(3+(12*4)=3+(48)=51\)

Answer:

the temperature at 6pm was 12.8 F

Step-by-step explanation:

Temperature every three hours...

9am:                 - 10.6

rose 14.2 so you add this to the starting temperature

9am - Noon:     - 10.6 + 14.2 = 3.6

Noon:                   3.6

went up 11 so you add this to the temperature at noon

Noon - 3pm:        3.6 + 11 = 14.6

3pm:                    14.6

went down 1.8 so you subtract this to the temperature at 3pm

3pm - 6pm:          14.6 - 1.8

6pm:                     12.8

Answer:

A.  x ≥ 21\(\frac{2}{3}\)

Step-by-step explanation:

81 - 1\(\frac{1}{5}\) x ≤ 55

-1\(\frac{1}{5}\) x ≤ 55-81

-\(\frac{6}{5 }\) x ≤ -26

x ≥ -26(-\(\frac{5}{6}\))       **flip the inequality when you divide by a negative number

x ≥ 21\(\frac{2}{3}\)

Answer:

I think B and C cannot be lengths of the sides of a triangle

Answer:

15cm

Step-by-step explanation:

scale factor =image diatace/object distance

0.75=x/20

0.75×20=x

15=x

: .x=15cm

The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2

To find the limit as x approaches -2, we substitute -2 into the function:

f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
      = 4(4) - 10 + 12 + 2
      = 16 - 10 + 12 + 2
      = 20

Therefore, the limit of the function as x approaches -2 is 20.

To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.

However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.

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Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

We can see that Natalie is reducing the amount she owes by $18 every two weeks.

Therefore, the amount she owes after 2 weeks is $180 - $18 = $162, after 4 weeks is $144, after 6 weeks is $126, and after 8 weeks is $108.

This means that after n weeks, the amount she still owes is:

$180 - $18n

Since she will pay the same amount each week, let's call the weekly payment P. After one week, she will owe:

$180 - P

After two weeks, she will owe:

($180 - P) - P = $180 - 2P

After four weeks, she will owe:

($180 - 2P) - P - P = $180 - 4P

After six weeks, she will owe:

($180 - 4P) - P - P = $180 - 6P

And after eight weeks, she will owe:

($180 - 6P) - P - P = $180 - 8P

We can set up an equation using the information we have:

$180 - 8P = $108

Solving for P, we get:

P = $9

Therefore, Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

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The complete question:

Natalie borrowed money from her parents to pay for a trip. ​Natalie will ​pay her parents in equal amounts every week until she pays back the ​entire amount she borrowed. ​ ​The table below shows the amount of ​money Natalie still owes her parents at the end of every two weeks for ​the first eight weeks. How much does Natalie pay her parents each week? What is the initial amount Natalie still owes?

Week 0 = $180

Week 2 = $162

Weeks 4 = $144

Week 6 = $126

Week 8 = $108

Answer:

ps is perpendicular to line ur.

angle pvr is 90°

12x+3x=90°

15x=90°

x=90°/15

x=6

by putting value of x

12x=72°

Answer:

(0, 0)

Step-by-step explanation:

Each reference line is called a coordinate axis or just axis (plural axes) of the system, and the point where they meet is its origin, at ordered pair (0, 0).

During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, the population 7.2 minutes from now can be calculated using the following formula:

P(t) = P ₀e^(rt)where ,P₀ = initial population r = growth rate (as a decimal) andt = time (in minutes)Substituting the given values, P₀ = 172.0 million r = 1.9% per minute = 0.019 per minute (as a decimal)t = 7.2 minutes

The population after 7.2 minutes will be:P(7.2) = 172.0 million * e^(0.019*7.2)≈ 234.0 million (rounded to the nearest tenth)Therefore, the population of e.coli bacteria 7.2 minutes from now will be approximately 234.0 million.

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Answer:

here are 117,600 ways the runners can finish first, second, and third in the race.

Step-by-step explanation:

The number of ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations. In this case, we are interested in selecting 3 runners from a group of 50.

The number of ways to choose the first-place finisher is 50 because any of the 50 runners can finish first. After one runner is selected for the first place, there are 49 remaining runners.

For the second-place finisher, there are 49 remaining runners to choose from since one runner has already been selected for the first place. Thus, the number of ways to choose the second-place finisher is 49.

Similarly, for the third-place finisher, there are 48 remaining runners to choose from since two runners have already been selected for the first and second places. Hence, the number of ways to choose the third-place finisher is 48.

To determine the total number of ways the runners can finish in first, second, and third places, we multiply the number of choices for each position: 50 * 49 * 48 = 117,600.

Therefore, there are 117,600 ways the runners can finish first, second, and third in the race.

Answer:

3.2

Step-by-step explanation:

Find the number in the tenth place  

2

and look one place to the right for the rounding digit  

4

. Round up if this number is greater than or equal to  

5

and round down if it is less than  

5

.

Answer: Depends on the function but to figure this out you look for the growth factor in the equation is greater than 1

The whole given data sets can have their median calculated after being arranged either in an ascending or descending order. That is option A,B,C,D and E.

The median of a data set is defined as the data that is found at the center, otherwise known as the measure of center of a data set, after being arranged in ascending or descending order.

For example the median of option A) is calculated as follows:

Data set= 23,62,68,73,75,77

Median = 68+73/2 = 70.5

Therefore the median is between 68 and 73 which is = 70.5

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Answer:

7x-5

Step-by-step explanation:

The amount of Duane's first payment that goes to interest is approximately $26.47.

To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.

The formula to calculate the interest portion of a loan payment is:

Interest = Remaining Balance * Monthly Interest Rate.

Let's calculate the interest for the first payment using the given information:

Loan Amount = $5,000.00

Monthly Payment = $118.57

First, we need to calculate the monthly interest rate:

Monthly Interest Rate = Annual Interest Rate / 12

= 6.5% / 12

= 0.00542

Next, we need to calculate the remaining balance after the first payment:

Remaining Balance = Loan Amount - Principal Paid

= $5,000.00 - $118.57

= $4,881.43

Finally, we can calculate the interest portion of the first payment:

Interest = Remaining Balance * Monthly Interest Rate

= $4,881.43 * 0.00542

= $26.47

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We can say that after answering the offered question For instance, if equation fixing a plumbing problem takes an hour, the cost would be $75. If the repair takes two hours, it will cost $125, and so on.

An equation is a mathematical statement that proves the equality of two expressions connected by an equal sign '='. For instance, 2x – 5 = 13. Expressions include 2x-5 and 13. '=' is the character that links the two expressions. A mathematical formula that has two algebraic expressions on either side of an equal sign (=) is known as an equation. It depicts the equivalency relationship between the left and right formulas. L.H.S. = R.H.S. (left side = right side) in any formula.

{(1, 75), (2, 125), (3, 175), (4, 225), (5, 275)}

The cost to repair a plumbing issue based on the number of hours is represented by these sets of ordered pairs. For instance, if fixing a plumbing problem takes an hour, the cost would be $75. If the repair takes two hours, it will cost $125, and so on.

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Answer:

answer is B) 8 240 000

(: have a nice day

Answer:

B 8,240,000

Step-by-step explanation:

your welcome

Answer:

D = -j = -h/-k

Step-by-step explanation:

Answer:

It's 13

Step-by-step explanation:

the fifth term is n. do 3*5=15 and then subtract 2 to get 13!