Samuel’s father is four years older than double Samuel’s age. their age difference is 22 years. how old are they

Answer:

x = Square root of 3........y=2

Step-by-step explanation:

So this is a VERY special triangle...you can just search special triangles and that will pop up....so there is really no explanation

Note: Is that from Rsm? and by the way, I'm in middle school XD

Answer:

[tex]a_{n}=-5(-3)^{n-1}[/tex]

Step-by-step explanation:

A geometric sequence or progession is defined as a sequence where each term can be found by multiplying a factor with the first term.

In this case, the first term is -5, the second term is 15 and the third term is -45.

[tex]a_{1}=-5\\a_{2}=15\\a_{3}=-45[/tex]

To find the factor, we divide the second term by the first, and the third term by the second.

[tex]\frac{15}{-5}=-3[/tex]

[tex]\frac{-45}{15}=-3[/tex]

As you can notice, the factor is -3, so [tex]r=-3[/tex].

Now, the explicit formula of this sequence can be found with

[tex]a_{n}=a_{1}r^{n-1}[/tex]

Where [tex]n[/tex] refers to the n-th term.

Replacing values, we have

[tex]a_{n}=-5(-3)^{n-1}[/tex]

Therefore, the explicit formula of the geometric sequence is

[tex]a_{n}=-5(-3)^{n-1}[/tex]

Which can be used to find any other term in the sequence.

Answer:

1. 51

2.25

3.104

4.31

5.41

Step-by-step explanation:

Answer:

81.85%

Step-by-step explanation:

We have the following information:

mean = m = 52000

standard deviation = sd = 12000

a = 40000

b = 76000

we need to find the probability between a and b, that is:

P (a <x <b) = P (40,000 <x <76000)

P [(40000 - m) / sd <(x - m) / sd <(76000 - m) / sd]

replacing

P [(40000 - 52000) / 12000 <z <(76000 - 52000) / 12000]

P (-1 <z <2)

P (z <= -1) - P (z <= 2)

We look for this value of z, in the attached table:

0.9772 - 0.1587

P = 0.8185

In other words, the probability is 81.85%

Answer:

2 x minus y = negative 6 and 3 x minus y = negative 5

Step-by-step explanation:

y = 2(x+3) = 2x + 6 or 2x - y = -6

y = 5 + 3x or 3x - y = -5

The equations that represent the situation is: 2 x minus y = negative 6 and 3 x minus y = negative 5

From the given information:

Let the smaller number be x; then the word problem can be expressed as:

From (1), if we open the brackets, we have:

multiplying through by (-), we have:

Also, from equation (2)

By rearrangement

Multiplying through by (-), we have:

Therefore, we can conclude that the equations that represent the situation is: 2 x minus y = negative 6 and 3 x minus y = negative 5

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Answer:C

Step-by-step explanation:

When using negative exponents, I’m you flip the number to the opposite side numerator to denominator in this case. So you would have 1 over x to the third power.(1/x^3)

Answer:

0.50

Step-by-step explanation:

The z-score for Michael's exam grade is 0.5.

To find the z-score for Michael's exam grade, we can use the formula: z = (x - µ) / σ, where x is the value of Michael's grade, µ is the mean, and σ is the standard deviation.

Plugging in the given values,

we get z = (86 - 85) / 2 = 0.5.

Therefore, the z-score for Michael's exam grade is 0.5.

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Answer:

The half life of a material is the time that a given quantity A of the material, decays into its half.

We know that the half-life is 4 hours, then we have the equation:

Q(t) = A*r^t

Where A is the initial quantity, and t is the number of hours.

and we have that r^4 = 1/2 (so when t = 4, we will have half of A)

then r = (1/2)^(1/4) = 0.84

Then our relation is

Q(t) = A*0.84^t

We have that A = 225mg,

at 1:00 pm. we have one hour after noon, so here we need to use t = 1.

Q(1) = 225mg*0.84^1 = 189.2mg

At 7:00 pm, we have 7 hours since noon, so here we need to use t = 7

Q(7) = 225mg*0.84^7 = 66.4mg

The equation is

[tex]Q(t) = A\times r^t[/tex]

here A is the initial quantity, and t is the number of hours.

Now

we have that r^4 = 1/2 (so when t = 4, we will have half of A)

So,

[tex]r = (1/2)^{(1/4)} = 0.84[/tex]

So,  our relation is

[tex]Q(t) = A\times 0.84^t[/tex]

We have that A = 225mg,

Now

[tex]Q(1) = 225mg\times 0.84^1[/tex]= 189.2mg

And,

At 7:00 pm, we have 7 hours since noon, so here we need to use t = 7

[tex]Q(7) = 225mg\times 0.84^{7}[/tex] = 66.4mg

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Answer:

x = 2 or x = -2

Step-by-step explanation:

7x^2 - 28 = 0

7x^2 = 28

x^2 = 28/7 = 4

x = root(4)  or  x = -root(4)

x = 2 or x = -2

Answer:

x=-2 & x=2

Step-by-step explanation:

PLATO

Answer: 25%

Step-by-step explanation:

1/4= 0.25

out of the numbers only 9 is not less than 9 so  it is P.

1 out of  all the four numbers is P.

Answer:

-1299

Step-by-step explanation:

-282-1017

Answer:

-1299

Step-by-step explanation:

-282 - 1017 = -1299

(-282) + (-1017)

Hope this helps ^-^

The equation of a line with a slope of 4 that passes through the point (-2, 5) in point-slope form is y - 5 = 4(x + 2).

To find the equation of a line in point-slope form given a slope and a point through which the line passes, we use the formula:

y - y₁= m(x - x₁)

where m is the slope of the line, and (x₁ , y₁) is the point on the line. For the given slope of 4 and point (-2, 5), we substitute into the formula:

y - 5 = 4(x + 2)

This is the correct answer for the equation of the line in point-slope form.

Answer:

Kwota zapłacona za 2 bilety normalne i 1 bilet ulgowy wynosi 98 złotych

Step-by-step explanation:

Po pierwsze, zadeklarujmy zmienne. Niech kwota zapłacona za normalne bilety wyniesie n złotych, a kwota zapłacona za bilety zniżkowe będzie d złotych

Od pierwszej części pytania powiedziano nam, że kwota za bilet ulgowy jest o 10 złotych mniejsza niż w przypadku biletu normalnego.

Stąd matematycznie n = d + 10 ......... (i)

Mówi się nam również, że kwota zapłacona za 3 normalne bilety i 2 bilety ze zniżką wynosi 160 złotych

Matematycznie można to zapisać jako;

3n + 2d = 160 .................... (ii)

Teraz, aby uzyskać kwotę zapłaconą za dwa bilety normalne i jeden bilet zniżkowy, musimy najpierw znaleźć kwotę zapłaconą za każdy bilet, korzystając z dwóch powyższych równań. Teraz zamień (i) na (ii)

mamy; 3 (d + 10) + 2d = 160

3d + 30 + 2d = 160

5d + 30 = 160

5d + 160-30

5d = 130

d = 130/5

d = 26 złotych

Kwota zapłacona za normalny bilet wynosi zatem = 26 + 10 = 36 złotych

Znajdując kwotę zapłaconą za 2 bilety normalne i 1 bilet zniżkowy, mamy 2 (36) + 26 = 72 + 26 = 98 złotych

Answer:

0.33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333

or 1/3

Step-by-step explanation:

Answer:

16 3/4 orrrrrrrr 67/4

Step-by-step explanation:

10 1/12 + 6 8/12

you need to change the denominators to be the same so you can add them

Answer:

$15.60

Step-by-step explanation:

Total cost:

2(13) + 5(6) + 6.40

$62.40

Divide into 4:

62.40/4

$15.60

Answer:

Exact Form:

105 /8

Decimal Form:

13.125

Mixed Number Form:

13  1/ 8

this is if you divide 105 and 8

105 divided by 8 using real-number division is 13 with a remainder of 1.

Dividend: 105

Divisor: 8

To perform the division, we divide 105 by 8:

8 | 105

8 (1 time)

25

24 (3 times)

1

Since we have a remainder of 1, the quotient is 13 and the remainder is 1.

Therefore, 105 divided by 8 using real-number division is 13 with a remainder of 1.

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Answer:

he would be able to walk 15 blocks

Step-by-step explanation:

30 is 3 times more than 10, so he can walk 3 times as the amount

Answer:

Step-by-step explanation:

si rrecorre 5 cuadras en 10 minutos en 10 cuadras son 20m 15C son 30

Answer:

$6,313.75

Step-by-step explanation:

All we have to do for this problem is multiply 25 by 252.55

25 * 252.55 = 6313.75

So, Max spent $6,313.75 on books.

Max can spend $6,313.75 total to buy the books at the of $ 252.55 per book.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition is called multiplication.

We have to given that;

Max buys 25 books at the rate of $ 252.55 per book.

Here, cost of one book = $252.55

Now, We get;

Total cost of 25 books is,

Since, Cost of 1 book = $252.55

Hence, We get;

Cost of 25 books = 25 x $252.55

                           = $6,313.75

Therefore, Max can spend $6,313.75 total to buy the books at the of $ 252.55 per book.

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Answer:

The direct distance between the birds is 12.64 miles.  

Step-by-step explanation:

We have, one bird flew 12  miles west and another  bird flew 4 miles north.  It is required to find the direct distance  between the birds. It means we need to find the resultant of two displacement. It can be given by :

[tex]d=\sqrt{12^2+4^2} \\\\d=12.64\ \text{miles}[/tex]

So, the direct distance between the birds is 12.64 miles.

Answer:

15/16

Step-by-step explanation:

To find the value of Sin A can be found using the sine rule. the rule states that the ratio of the length facing an angle in a triangle to the sine of the angle is constant. As such,

a/Sin A = b/Sin B = c/Sin C

Where is a is the side facing angle A, b is the side facing angle B and c is the side facing angle C.

Hence,

8/(3/4) = 10/Sin A

Sin A = 3 * 10 / (8 * 4)

= 30/32

= 15/16

Answer:

33

Step-by-step explanation:

So I just put them in order....18,19,23,25,28,30,31,33,33,35,36

and you can see that 33 pops up twice when the others only pop up once..so the answer is 33

Answer:

B. r ≤ -8

Step-by-step explanation:

First solve the inequality.

-2r + 3 ≥ 19

Subtract 3 from both sides.

-2r ≥ 16

Divide both sides by -2. But wait. Don't forget to flip the greater than sign when you divide an inequality by a negative number!!

r ≤ 16/-2

See how we flipped the greater than to a less than because the inequality was divided by a negative number on both sides?

r ≤ -8

So the answer is B.

An angle measures 50° more than the measure of its supplementary angle. However, there are no angles that satisfy this condition.

An angle measures 50° more than the measure of its supplementary angle.

To solve for the measure of each angle, we can set up an equation:

Let x be the measure of the angle, and let y be its supplementary angle.

Since the sum of the measures of two supplementary angles is 180°, we can write the equation:

x = y + 50°

Substituting y + 50° for x in the equation, we get:

y + 50° = y

Subtracting y from both sides, we get:

50° = 0

Since there is no solution to this equation, it means that there are no angles that satisfy the given condition.

The smaller angle measures 65° while the larger angle measures 115°.

Let's denote the measure of the smaller angle as x degrees. Since the angles are supplementary, their sum must be 180 degrees. Thus, the measure of the larger angle will be (x + 50) degrees.

Using this information, we can form the following equation:

x + (x + 50) = 180

Simplify the equation:

2x + 50 = 180

Subtract 50 from both sides:

2x = 130

Divide both sides by 2:

x = 65

Therefore, the measures of the angles are:

Step-by-step explanation:

An expression is something like 7x=63

Answer:

(x, y)

(10,9)

We know the linear equation formula is y = mx + b

m is the slope, which we know to be 1/5

Plug in the coordinates to find b.

x = 10  y = 9

9 = 1/5(10) + b

9 = 2 + b

-2   -2    

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

7 = b

Final equation: y = 1/5x + 7

Step-by-step explanation:

The equation of a line with slope 1/5 passing through the point (10,9) is 'y = 1/5x + 7'. This was found using the point-slope form of a line equation.

To find an equation of a line with a given slope passing through a specific point, the point-slope form of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is the given point, can be used.

In this case, the slope m = 1/5 and the point given is (10,9).

Therefore, the equation of the line can be found by substituting these values into the point-slope form:

y - 9 = 1/5(x - 10)

By distributing the slope on the right hand side, we get y - 9 = 1/5x - 2. Adding 9 to both sides gives the final equation:

y = 1/5x + 7

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Answer:

The additive inverse is 5

Step-by-step explanation:

What to we add to -5 to get it to be 0

-5 +x = 0

We add 5

-5+5 =0

Answer:

It is five

Step-by-step explanation:

Answer:

Here's a screenshot from Plato

Explanation:

Plato