el padre de luis es treinta y dos años mayor que su hijo. si sumamos las edades de ambos el resultado es sesenta y ocho años. ¿qué edad tiene cada uno?​

Answer:

Step-by-step explanation:

Look at the picture.

Therefore:

[tex]\dfrac{x+8}{2x-5}=\dfrac{10}{14}[/tex]          cross multiply

[tex]14(x+8)=10(2x-5)[/tex]     use the distributive property a(b + c) = ab + ac

[tex]14x+112=20x-50[/tex]             subtract 112 from both sides

[tex]14x=20x-162[/tex]             subtract 20x from both sides

[tex]-6x=-162[/tex]           divide both sides by (-6)

[tex]x=27[/tex]

Answer:

83.28

Step-by-step explanation:

i did 668-85 and got 583 and i / it by 7

Answer:

Step-by-step explanation:

Given that there are only 7 days left until the launch of our new product and we only have 668.00 left in our promotion budget. We need to spend 85.00 on the last day.

Hence amount left for remaining 6 days = [tex]668-85 = 583[/tex]

This can be spent for the remaining 6 days

If equal amount to be sent then we get

[tex]\frac{583}{6} =97.17[/tex]

But we can round off and send in integral values means we can spread as

each day 100 dollars for first 5 days and on 6th day 83 dollars.

Answer:

The perimeter of question #1 is 36. The second one is 24 then the third is 19 then 28 then 54

Step-by-step explanation:

Answer:

The perimeter of one is 36. The second one is 24. The third is 19. The fourth is 28. The last is 54.

Step-by-step explanation: Adding all the sides is how you find perimeter. Use πr + 2r, where r is the radius minus the side of the semicircle that touches the other shape since that is inside the shape.

First we have to determine how many chairs there are total. To do this multiply 9 by 28

9*28 = 252

That means you have a total of 252 chairs. Since we can assume that every person who buys a $4 ticket will only sit in one chair, we can say that if all the seats are filled then 252 people bought a ticket

To find the total price multiply the total chairs by the cost per ticket (or chair, which ever way you want to think of it as)

252 * 4 = 1008

You would make $1008

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

126 sq units.

Step-by-step explanation:

We want the side surface area only, we'll calculate both

For the sides, we have 4 triangles with a base of 7 and a height of 9 units.

The area of a triangle is calculated with A = (b * h)/2

So, each of the sides of the pyramid has an area of:

A = (7 * 9) / 2 = 31.5 sq units

There are four sides, so total lateral area: 4 * 31.5 = 126 sq units.

The total lateral area of that pyramid is 126 sq units.

Answer: third option

[tex]y = \frac{4}{x}[/tex]

Step-by-step explanation:

It is said that two variables X and Y vary inversely if when the variable x increases then the variable and decreases.

The equations of inverse variation have the following form:

[tex]y = \frac{k}{x}[/tex]

Where k is the constant of variation

To know which of the equations varies inversely identify those that have the form

[tex]y = \frac{k}{x}[/tex]

You can see that the correct option is the third option

[tex]y = \frac{4}{x}[/tex]

Answer:

It's C.

Step-by-step explanation:

Answer: The correct option is A.

Explanation:

The given function is,

To find the graph of this function after the reflecting across y-axis, first we have to find the graph of the equation.

The value of the function is 2 when x=0, so, the graph of given equation intersect the y-axis at 2.

In the equation . Since , so the given function is decreasing function

The value of f(x) is always positive, so the graph of f(x) is always above the x-axis. Thus, the graph must be above the x-axis after reflection across y-axis.

So, the option (2) and (4) and incorrect.

When we reflect the graph across the y-axis then,

It means when x approaches to large negative number the f(x) approaches to 0 and when x approaches to large positive number the f(x) approaches to infinite.

Therefore, the correct option is show in first graph.

Answer:

Usual, because the result is between the minimum and maximum usual values.

Step-by-step explanation:

To identify if the value is usual or unusual we're going to use the Range rule of thumbs which states that most values should lie within 2 standard deviations of the mean. If the value lies outside those limits, we can tell that it's an unusual value.

Therefore:

Maximum usual value: μ + 2σ

Minimum usual value: μ - 2σ

In this case:

μ = 153.1

σ = 18.2

Therefore:

Maximum usual value: 189.5

Minimum usual value: 116.7

Therefore, the value of 187 lies within the limits. Therefore, the correct option is D.  Usual, because the result is between the minimum and maximum usual values.

Answer:

D. Usual, because the result is between the minimum and maximum usual values

Step-by-step explanation:

Answer:

irrational number, non-repeating decimal

Step-by-step explanation:

√18 = √9·√2 = 3·√2.  

√2 is an irrational, non-repeating decimal (my calculator shows it to be approx. 1.414213562..... )

and so √18 is the same.

Answer:

Irrational number, Non-repeating decimal

Step-by-step explanation:

Dictonary definition of

IRRATIONAL NUMBER:

"(of a number, quantity, or expression) not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal. Examples of irrational numbers are the number π and the square root of 2."

ANSWER

[tex] 3840 {m}^{3} [/tex]

EXPLANATION

The total amount of space is the volume of the composite solid.

We find the volume of the rectangular prism and add it to the volume of the triangular prism.

The total amount of space inside the museum is:

[tex] =l \times b \times h + \frac{1}{2} \times base \times height \times height \: of \: triangular \: prism [/tex]

[tex] = 30 \times 12 \times1 0 + 0.5 \times 12 \times 4 \times 10[/tex]

[tex]= 360 0 + 240[/tex]

[tex] = 3840 {m}^{3} [/tex]

Therefore,the total amount of space inside the museum is 3,840 cubic meters.

Answer:

Step-by-step explanation:

3(2y - 4) = 8y + 9 - 9y

Distribute 3:

6y - 12 = 8y + 9 - 9y

Combine like terms:

6y - 12 = -y + 9

Add y to both sides:

7y - 12 = 9

Add 12 to both sides:

7y = 21

Divide both sides by 3:

y = 3

Answer:

Y = 3

Step-by-step explanation:

Answer:

[tex]P(A\:or\:B)=\frac{7}{11}[/tex]

Step-by-step explanation:

If the two events are disjoint, then P(A or B)=P(A)+P(B).

We were given that:

[tex]P(A)=\frac{4}{11}[/tex]

and

[tex]P(B)=\frac{3}{11}[/tex]

This implies that:

[tex]P(A\:or\:B)=\frac{4}{11}+\frac{3}{11}[/tex]

We simplify the right hand side to obtain:

[tex]P(A\:or\:B)=\frac{4+3}{11}[/tex]

[tex]P(A\:or\:B)=\frac{7}{11}[/tex]

Answer:

5/11

How I got my answer:

For overlapping events, you would subtract P(A and B) from the sum of P(A) and P(B).

In this case, you would do 4/11 + 3/11, which equals 7/11 minus 2/11, which equals 5/11.

Answer:

9 proper fractions:

3/5,3/8,5/8,3/40,5/24,8/15,3/13,5/11,2/8

9 improper fractions:

8/3,8/5,5/3,24/5,40/3,15/8,11/5,13/3,8/2

Step-by-step explanation:

Proper fraction:

Proper fraction are the fractions in which the numerator is less than the denominator and the value of proper fractions is less than 1.

x/y is proper fraction if x<y and x/y<1

Improper fraction:

Improper fraction are the fractions in which the numerator is greater than the denominator and the value of proper fractions is more than 1.

x/y is improper fraction if x>y and x/y>1

Given numbers: 3,5,8

Making 9 proper and improper fractions with above given numbers with condition to use each number only once within a fraction.

nine proper fractions: (x/y is proper fraction if x<y and x/y<1)

3/5

3/8

5/8

3/(5)(8)= 3/40

5/(3)(8) = 5/24

8/(3)(5) = 8/15

3/(5+8) = 3/13

5/(3+8) = 5/11

(5-3)/8 = 2/8

nine improper fractions: (x/y is improper fraction if x>y and x/y>1)

8/3

8/5

5/3

(8)(3)/5 = 24/5

(8)(5)/3 = 40/3

(5)(3)/8 = 15/8

(3+8)/5 = 11/5

(5+8)/3 = 13/3

8/(5-3) = 8/2 !

Final answer:

To create proper and improper fractions using the numbers 3, 5, and 8, proper fractions must have a smaller numerator than the denominator, and improper fractions must have a larger numerator than the denominator. Nine examples of each type are provided using the given numbers and additional integers as necessary.

Explanation:

When creating proper fractions and improper fractions using the numbers 3, 5, and 8, a proper fraction has a numerator (top number) that is smaller than its denominator (bottom number), whereas an improper fraction has a numerator that is larger than its denominator.

Here are nine proper fractions using 3, 5, and 8:

Here are nine improper fractions using 3, 5, and 8:

Answer: is 20%

Step-by-step explanation: I took the percentage of 200 out of 250 and it was 80% so the answer is 20%

For me the answer is 80% I hope it helps. please add brainlist

Answer:

[tex]60 - 20 = 40[/tex]

Step-by-step explanation:

Another way of stating this problem is find the Interquartile Range which is

Quartile 3 - Quartile 1.

The middle 50% of times that sophomores spend on homework per night refers to the interquartile range in statistics. This is found by ordering the data from least to greatest, splitting the data into 4 equal parts, then finding the values at the 1st and 3rd quartiles. The IQR is the range between these two values.

The range of times that the middle 50% of sophomores spend on homework per night refers to the interquartile range (IQR) in statistics. This is because the middle 50% is equivalent to the data between the 1st quartile (25th percentile) and the 3rd quartile (75th percentile). To determine this IQR, you must first have the data you need- in this case, how long each sophomore spends on their homework. Then, you must order this data from least to greatest. Once ordered, you find the 1st and 3rd quartile values by splitting the data into 4 equal parts. Your IQR is then the range between these two values.

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㏒[tex]13 = 1.11394335[/tex]

Round.

[tex]1.11[/tex]

The value of log 13 is 1. 11

Using a calculator, press in the log of 13

Log 13 = 1. 114

Rounding the value to the nearest tenth.

Log 13 = 1. 11

Therefore, the value of log 13 is 1. 11

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The volume of one marble is 0.04 liters.

Multiply the volume by the number of marbles:

50 x 0.04 = 2 liters.

Add that to the volume of water:

33 +2 = 35 liters

The volume of the tank is 35 liters.

Part 2:

Subtract the volume of water from the volume of the tank:

35 - 20 = 15 liters.

Now divide the remaining volume by the volume of a marble:

15 / 0.04 = 375 marbles are needed.

Answer:

A(3,4), B(2,2), C(6,3), D(1,6)

Step-by-step explanation:

The coordinates you wrote out are different then what is shown on the graph, On the graph the points are A(3,2), B(2,4), C(6,3), D(1,0)

So when it comes to solving this first you need to know what you are going to reflect over, in this case its X=3 which would be a horizontal at point 3 and across.

Then you count how far away the points are from X=3 line and reflect.

Hard to explain but i hope it helps

The coordinates of A after reflecting across the line x=3 is (2,3).

Hence, the correct answer is (2,3) if it is reflected across the line x=3.

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Answer:

x=2.4

Step-by-step explanation

Lets take the info already given. 20 is on the larger triangle and 8 is on the smaller. So the side that matches with X is 6. The relationship between 20 and 8 is 2.5. How? 20/8=2.5. then you divide 6 by 2.5. That equals 2.4. So x=2.4. Hope that helps !

Answer:

x=2.4

Step-by-step explanation:

Take the big one and divide it by the small one then you take the answer and divide it by the other side.

Answer:

The answer is D; (5,3)

The answer would be D 5,3.

The answer I got was $114.36

Answer:

The mean for december is higher than januarys mean.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]n-number,\ n>0\\\\9n^2+8=44\qquad\text{subtract 8 from both sides}\\\\9n^2+8-8=44-8\\\\9n^2=36\qquad\text{divide both sides by 9}\\\\\dfrac{9n^2}{9}=\dfrac{36}{9}\\\\n^2=4\iff n=\pm\sqrt4\\\\n=\pm4[/tex]

Answer:

25 seconds

Step-by-step explanation:

Skydiving.  

height (in feet) above the earth=h(t)= -16t^2 + 10,000

the time it would take to fall when h is 0  

-16t^2 + 10,000=0

-16t^2=-10000

16t^2=10000

t^2=10000/16=625

t=sqrt 625=25 seconds

-6

To find the slope of the perpendicular line, start with the original slope, 1/6.

The slope of a perpendicular line is the opposite and inverse of the slope of the original line. So, start by finding the inverse. This is done by simply flipping the numerator and the denominator to get 6/1, which is simplified to 6.

Finally, find the opposite of 6. You can find the opposite of a number by multiplying or dividing it by -1. If it is a positive number, just add a negative sign, and if it is already a negative number, take away the negative sign. So, the opposite of 6 is -6, which is out final answer.

Answer:

volume is 15 in cubed

Surface area is 43 in squares

I'll presume the slash is the fraction bar and the questioner is asking about

[tex]\dfrac{4a+12}{a+3}[/tex]

That always equals 4 except when [tex]a=-3[/tex]

So the restriction is

Answer:  a ≠ -3

Answer:

The restriction is at a=-3

Step-by-step explanation:

You need to see if there are like terms. If there are that is a hole. For example you can a 4 out of the equation like so.

4(a+3)/a+3.

since they both have a+3 that is a hole. so a+3=0 so a=-3 is a restriction

Check the picture below.

so we have two parallel lines, notice, the 115° are corresponding angles and thus equal,  the 65° and 55° angles are linear angles to 115° and 125° respectively.

that leaves us with a triangle with 65° and 55°, and since all interior angles in a triangle sum up to 180°, then the last angle must be 60°, which has a twin vertical angle across the junction.

since a full revolution or a full circle go-around is 360°, the other two twin vertical angles next to the green 60° angles must be 360° - 60° - 60° = 240°, and since they're twins, each takes half of 240°.

The sum of the lengths of two sides of a triangle must always be less than or equal to the third side. So, if we let the third side be x, we have:

[tex]\begin{cases}6+x\geq9\\x+9\geq6\\6+9\geq x\end{cases} \iff \begin{cases}x\geq3\\x\geq -3\\x\leq 15\end{cases} \iff \begin{cases}x\geq3\\x\leq 15\end{cases}[/tex]

Answer:

anything between 3 and 15 BUT NOT 3 OR 15

they can be

4

5

6

7

8

9

10

11

12

13

14

Answer:

E

Step-by-step explanation:

[tex]

y+8=4(x-5)

[/tex]

Put the the E coordinates.

[tex]

-8+8=4(5-5) \\

0 = 4\cdot 0 \\

\boxed{0=0\Longrightarrow E\in y+8=4x-20}

[/tex]

Hope this helps.

r3t40

By simplifying the given equation y + 8 = 4(x - 5) to y = 4x - 28 and substituting the points' coordinates, it is determined that Point B (5, 0) is the correct point that lies on the line described by the equation.

To determine which point lies on the line described by the equation y + 8 = 4(x - 5), we need to verify which of the given options, when substituted into the equation, will satisfy it. First, we will simplify the equation to its standard line equation form y = mx + b (where m is the slope and b is the y-intercept):

Now we can substitute the x and y values from each of the points into this equation and check which one holds true.

Thus, Point B (5, 0) is the point that lies on the line described by the equation.

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