A wise man once said, "300 reduced by 3 times my age is 84." What is his age?

Answers

Answer 1

Answer:72

Step-by-step explanation:


Related Questions

(40 points) need answer asap the x=38

Answers

just plug in, 61 and 119

Solve for y
6x-3y=36

Answers

Answer:

y = 2x - 12

Step-by-step explanation:Move all terms that don't contain y to the right side and solve.6x - 3y = 36In order to solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on the other side of the equation. In our example, the term 6x will be moved to the right side. Notice that a term changes sign when it 'moves' from one side of the equation to the other.We need to get rid of expression parentheses. If there is a negative sign in front of it, each term within the expression changes sign. Otherwise, the expression remains unchanged. In our example, there are no negative expressions.Therefore, y = 2x - 12
The answer is X=6 if your trying to find the function

I need to find the value of x in this figure. I need to do it so that whatever x is, it can be substituted into the expressions
Remember: all the angles of a triangle = 180 degrees and other geometry stuff
please help :)

Answers

Answer:

x = 42

see below for the angle measures.

Step-by-step explanation:

The angle marked 2x - 9 is sort of outside the triangle. It is called an exterior angle. The other two angles are called remote interior angles. "Remote" means that they are away from the exterior angle. When you have this set up, the two remote angles added together EQUAL the exterior one.

x+5 + 28 = 2x - 9

x + 33 = 2x - 9

Subtract x.

33 = x - 9

Add 9.

42 = x

So x = 42° which if you put that back into the expressions you can find the measures of the one remote interior angle (the other we know is 28°) and the exterior angle.

remote int angle:

x+5

= 42 + 5

= 47°

Exterior angle:

2x - 9

= 2(42) - 9

= 84 - 9

= 75°

(You can also then find the completely unmarked angle which is 180°- 75° which is 105°)

Using the distributive property, rewrite this equation and put the correct numbers in place of the blanks.

8 • 52 = (

) + (

Answers

The equation using the distributive property is 8 (5 + 2) = (8 × 5) + (8 × 2)

Given,

The equation: 8 ( 5 + 2) = (__×___) + (___×__)

Distributive property:

The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.

Here,

8 (5 + 2)

Using distributive property open the brackets:

8 (5 + 2) = (8 × 5) + (8 × 2)

Now,

8 (5 + 2) = 40 + 16

That is,

8 (5 + 2) = 56

So,

The equation using the distributive property is 8 (5 + 2) = (8 × 5) + (8 × 2)

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There were 7.2 gallons of water in Sandra's bathtub. Then 6.27 gallons drained out. How much water is left in the bathtub?

Answers

The amount of water left in the bathroom is 0.93 gallons

How to determine the amount of water left?

From the question, the given parameters are:

Total amount of water in the bathroom = 7.2 gallonsAmount of eater drained out = 6.27 gallons

The amount of water left is the difference between the total amount of water in the bathroom  and the amount of eater drained out

This is represenetd as

Amount left = Total amount of water in the bathroom - Amount of eater drained out

Substitute the known values in the above equation

Amount left = 7.2 - 6.27

Evaluate

Amount left = 0.93

Hence, the amount left is 0.93 gallons

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The required measure of the volume of water left in the bathtub is 0.93 gallons.

As per the given data, There were 7.2 gallons of water in Sandra's bathtub. Then 6.27 gallons drained out. How much water is left in the bathtub is to be determined.

Here,
According to the question, the water left after the 6.27 gallons of draining out can be evaluated by the arithmetic subtraction of the initial volume to the volume that drained out, that is,
The volume of water left in the tub  = 7.2 - 6.27 = 0.93.

Thus, the required measure of the volume of water left in the bathtub is 0.93 gallons.

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Quadrilateral ABCD is dilated with center
( 0, 0 ), taling B to B' . Draw A' B' C' D' .​

Answers

Answer:

See the picture below

Step-by-step explanation:

Photo plus charges $2 for each print plus a $6 processing fee. Picture time charges $3 for each print plus a $4 processing fee. for what number of prints is the price the same at both stores

Answers

I think the answer is 15 or 16.
I think the answer is 15 or 16.

Us the given info to evaluate all six trig functions. If theta is a special angle so state.

I need help with question six

Answers

The angle in the fourth quadrant associated with trigonometric function is 314.415°. The exact values of the six trigonometric functions are listed below:

sin θ = - 5 / 7 cos θ = 2√6 / 7 tan θ = - 5 / 2√6 cot θ = - 2√6 / 5 sec θ = 7 / 2√6 csc θ = - 7 / 5

What is the angle associated with a given trigonometric function?

In this problem we find the exact form of a trigonometric function and the related quadrant on a Cartesian plane. By definition of the sine function and the features of the sine, the exact value has the following form and conditions:

y / √(x² + y²) = - 5 / 7, x > 0, y < 0

Then,

y = - 5, √(x² + y²) = 7

√[x² + (- 5)²] = 7

x² + 25 = 49

x² = 24

x = √24

x = 2√6

Then, the angle associated to the trigonometric function is:

θ = tan⁻¹ (y / x)

θ = tan⁻¹ (- 5 / 2√6)

θ ≈ 314.415°

And the five other trigonometric functions are:

cos θ = 2√6 / 7

tan θ = - 5 / 2√6

cot θ = - 2√6 / 5

sec θ = 7 / 2√6

csc θ = - 7 / 5

The angle associated with trigonometric function is 314.415°.

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2x^2+13x--24=0 solve for x

Answers

Answer:

0

Step-by-step explanation:

Convert 450 liters into fluid ounces. Round your answer to the nearest whole number.

Answers

15,216 fluid ounces

Answer:15216.31 Fluid Ounces

Step-by-step explanation:

In a certain tourism destination, 28% of the city's residents work in the hospitality industry. 55% of residents are age 40 or younger, and 15% of residents are people age 40 or younger who work in the hospitality industry. What percentage of the employed population are people older than 40 who do not work in the hospitality industry?

A. 13%
B. 17%
C. 32%
D. 45%

Answers

The percentage of the employed population are people older than 40 who do not work in the hospitality industry is B. 17%.

How to calculate the percentage?

The city's residents work in the hospitality industry = 28%

The residents that are age 40 or younger, and 15% of residents are people age 40 or younger = 55%

Those who work in the hospitality industry that are younger than 40% = 15%

Therefore, those that don't work in the industry will be:

Percentage of 40 or older - Percentage of those working

= (100 - 55%) - 28%

= 45% - 28%

= 17%

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PLEASE HELPPPPPP!!!!!!
Which transformation represents a reflection over the y-axis?

Answers

Answer: B

Step-by-step explanation:

The preimage is "flipped" over the x axis to form the image.

Option A is a reflection over the line y=x.

Option C is a rotation of 180 degrees about the origin followed by a dilation.

Option D is a reflection over the x-axis.

Option E is also a reflection over the x-axis.

Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.)

The area to the left of z = 0.54 is
.

Answers

Area under the standard normal curve of z - score :

P(z < 0.54) = 0.7054

Given:

The area under the standard normal curve left is z = 0.54.

and, also sketch the area of normal curve and allocate the area left to the z - score .

What do z-scores mean?

Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean. Standard deviation is essentially a reflection of the amount of variability within a given data set.

Now,

The area under the curve represents the probability, therefore, the total area under the curve is equal to 1.

The Area under the standard normal curve of z - score :

P(z < 0.54) = 0.7054

Here, The sketch the under the standard normal curve  over the indicated interval.

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Write the sentence as an equation.
279 is the same as 157 more than the quantity m times 398

Answers

Answer:

279=157+398m

Step-by-step explanation:

hope its right?

279=398m+157
279 equals 157 MORE (meaning you would add 157 to 398m)

A girl scout troop hiked 6.8 miles southeast in 2 hours. What was the troop’s velocity?

Answers

Answer:

1.5 m/s

Step-by-step explanation:

Distance = 6.8×1609.344 = 10943.5392

time=2×60×60 = 7200

velocity= distance/time = 10943.5392/7200= 1.51 m/s

Suppose that 12 inches of wire costs 60 cents.
At the same rate, how many inches of wire can be bought for 25 cents?

Answers

Answer:

5 inches of wire.

Step-by-step explanation:

60/12 = 5

So at .05 an inch,  you can afford 5 inches at 25 cents

Please mark brainliest!

please help me please ​

Answers

SA=6(5*5)+6(3*3)-3(3)

Answer:

Surface area= 6(5·5)+6(3·3)-2(3·3)

Step-by-step explanation:

first figure out the surface area of both cubes

for the larger cube- 5 multiplied by 5 for the area of one side then multiplied by 6 for all faces

for the smaller cube- 3 multiplied by 3 for the area of one side then multiplied by 6 for all the faces.

the cubes are touching on one face, this is the whole area of one side of the 3 by 3 cube, meaning two of these faces must be subtracted to find the surface area of the whole shape

hope that helps

Which rule explains why these triangles are congruent?

Answers

Answer:

SAS Congruence Rule

A triangle is said to be congruent to each other if two sides and the included angle of one triangle is equal to the sides and included angle of the other triangle.

Answer: SAS (side side angle postulate.)

Step-by-step explanation:

can be used to prove triangles congruent.

sides and the corresponding angle of the other, then the triangles are congruent.

LMNP is rotated 90 degrees clockwise around the orgin.What are the coordinates of L ?A. L(0,-1)B. L(-1,0)C. L(0,1)D. L(1,0)

Answers

Consider that a rotation of 90° clockwise is given by:

T(x,y) => (y,-x)

The coordintates of the point L is L(0,1), the, after the rotation you have:

T(0,1) => (1,0)

answer:

D. L(1,0)

In Arizona, a minimum temperature of - 40.0°C was recorded at Hawley Lake in 1971. A maximum recorded temperature of 53.3°C was recorded at Lake Havasu City in 1994. Find the difference between these maximum and minimum temperatures.

Answers

Answer:

Your answer is 93.3.

Step-by-step explanation:

[tex]53-[/tex][tex](-40) = 93.3[/tex]

Find the inverse of:f (x) = 4x3 + 1

Answers

1. replace f(x) with y

[tex]y=4x^3+1[/tex]

2. Replace every x with a y and replace every y with an x

[tex]x=4y^3+1[/tex]

3. Solve for y:

[tex]\begin{gathered} 4y^3=x-1 \\ y^3=\frac{x-1}{4} \\ y=\sqrt[3]{\frac{x-1}{4}} \end{gathered}[/tex]

4. Replace y with f−1(x):

[tex]f^{-1}(x)=\sqrt[3]{\frac{x-1}{4}}[/tex]

50 POINTS!!!!!
decide whether the statement about the diagram is true explain your answer

ES ≅ ST

Answers

Answer: No

Step-by-step explanation:

The segments are not indicated to be congruent.

Can you write a quadratic function that does not have a y-intercept?

Answers

Answer:

The graph of a quadratic function will always have one y-intercept

Step-by-step explanation:

it usually takes davin 1 3/4 hours to get to his aunt's house . due to labor day traffic this year it took 3 1/5 hours .how much longer did it take this year

Answers

It took David 1 [tex]\frac{3}{4}[/tex] hours more to reach her aunt's home due to labor day traffic.

What is unitary method?

The unitary method is a method in which you find the value of a single unit and then the value of a required number of units.

Given is Davin who needs 1 3/4 hours to get to his aunt's house. However, due to the labor day traffic this year it took him 3 1/5 years.

We have to find the difference between the time span Davin took to reach his aunt's house.

Time taken by Davin without the labor day traffic = T[N] = 1 3/4 = 7/4 hours

Time taken by Davin with the labor day traffic = T[L] = 3 1/5 = 16/5 hours

Difference in time spans = T[D] = T[L] - T[N]

T[D] = 16/5 - 7/4

T[D] = 3.2 - 1.75

T[D] = 1.45 = 1 + 0.45

T[D] = 1 [tex]\frac{3}{4}[/tex] hours  

Davin took 1 [tex]\frac{3}{4}[/tex] hours more.

Therefore, it took David 1 [tex]\frac{3}{4}[/tex] hours more to reach her aunt's home due to labor day traffic.

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scores on the wechsler adult intelligence scale for the age group from 20 to 34 are approximately normally distributed with mean 110 and standard deviation 15. how high must a person score to be in the top 10%? (hint: that means, 90% of adults in that age range have a score lower than this cut-off score.)

Answers

A person must score at least 129.24 to be in the top 10%.

Using the z-table, find the z-score that corresponds to the 90% probability.

probability = 0.90

z-score = 1.2825

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

The z-score can be calculated using the formula below.

z-score = (x – μ) / σ

where x = individual data value

μ = mean

σ = standard deviation

Plug in the values and find the score to be in the top 10%, x.

z-score = (x – μ) / σ

1.2825 = (x – 110) / 15

x – 110 = 19.2377

x = 129.24

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(10, 10) А (2, 4) Find point C so that that the ratio of length Ad to the length of CB is 3:1

Answers

ANSWER

[tex](8,8.5)[/tex]

EXPLANATION

When a line segment is divided by ratio m:n, the coordinates of the point of division are given as:

[tex](\frac{mx_2+nx_1}{m+n},\frac{my_2+my_1}{m+n})[/tex]

where (x₁, y₁) and (x₂, y₂) are the coordinates of the ends of the line.

Therefore, we have that:

[tex]\begin{gathered} m=3;n=1 \\ (x_1,y_1)=(2,4) \\ (x_2,y_2)=(10,10) \end{gathered}[/tex]

Therefore, the coordinates of point C are:

[tex]\begin{gathered} (\frac{3\cdot10+1\cdot2}{3+1},\frac{3\cdot10+1\cdot4}{3+1}) \\ (\frac{30+2}{4},\frac{30+4}{4}) \\ (\frac{32}{4},\frac{34}{4}) \\ (8,8.5) \end{gathered}[/tex]

Those are the coordinates of C.

19. You have 15 pencils in your pencil case.1/5 of the pencils are green.
How many are not green?

Answers

Answer:

12

Step-by-step explanation:

You have 15 pencils in your pencil case.1/5 of the pencils are green. How many are not green?

= 1 - 1/5

= 5/5 - 1/5

= 4/5

This means that 4/5 of the 15 pencils are not green. So:

4/5 * 15 = 12 pencils are not green.

a researcher selects a sample and administers a treatment to the individuals in the sample. if the sample is used for a hypothesis test, what does the alternative hypothesis (h1) say about the treatment?

Answers

The alternative hypothesis(h1) says that the treatment causes a change in the scores.

What is a hypothesis test?

In statistics, hypothesis testing involves putting an analyst's presumption about a population parameter to the test. The data type used and the study's purpose will determine the methodology the analyst uses.

Using sample data, hypothesis testing determines whether a claim is plausible. These data could originate from a broader population or a process that creates data.

Hence, the alternative hypothesis(h1) says that the treatment causes a change in the scores

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Jenny love to plant flowers.she has $30 to spend on flower plant flats .find the number of flats she can buy of the cost $4.98 each

Answers

Answer:

6

Step-by-step explanation:

We can round $4.98 up to $5.

Then do $30 / $5 = 6

Go back and check if 6 works:

$4.98 × 6 = $29.88 which is less than $30.

So the answer is 6

Please help! It’s urgent! 2+4x-12-2y+1x

Answers

The result of the algebraic expression is 5x - 2y - 10.

Algebraic Expression:

An algebraic expression is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).

Given,

Here we have the expression 2+4x-12-2y+1x.

Here we have to solve this expression and we have also find simplified form of it.

In order to solve it,

First we have to write the given expression,

=> 2+4x-12-2y+1x

Now, we have to combine the like terms, then we get,

=> (4x + 1x) + (2 - 12) - 2y.

Now, we have to perform the appropriate operation on it,

Then it can be written as,

=> 5x + (-10) - 2y

Now we have to write the equation in the standard form, then we get the result as,

=> 5x - 2y - 10.

Therefore, the resulting standard form of the equation is 5x - 2y - 10.

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