Jessica is 17 in five years her age will 5/2 the age of her sister

[tex]5\sqrt{3x+1} = 10\\\\\implies \sqrt{3x+1} = \dfrac{10}5 \\\\\implies \sqrt{3x+1} = 2 \\\\\implies 3x +1 = 4\\\\\implies 3x = 4-1 \\\\\implies 3x = 3\\\\\implies x =1[/tex]

Answer:

x = 1

Step-by-step explanation:

Given equation:

[tex]\dfrac{5(3x+1)^1}{2} =10[/tex]

If a term has "1" as it's exponent, it means that it's the number itself. Therefore, we can remove the "exponent".

[tex]:\implies\dfrac{5(3x+1)}{2} =10[/tex]

Simplify the distributive property:

[tex]:\implies\dfrac{15x+5}{2} =10[/tex]

Using cross multiplication:

[tex]:\implies15x+5} =10 \times 2[/tex]

Simplify the R.H.S:

[tex]:\implies15x+5} =20[/tex]

Subtract 5 both sides:

[tex]:\implies15x+5 - 5} =20 - 5[/tex]

Simplify both sides:

[tex]:\implies15x} =15[/tex]

Divide 15 both sides:

[tex]:\implies\dfrac{15x}{15} } =\dfrac{15}{15}[/tex]

Simplify both sides:

[tex]:\implies x= 1[/tex]

Answer:

5.5

Step-by-step explanation:

Answer: IT IS 5.5I DID THE TEST

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

The probality of getting a 3 on a die is ⅙ since they is only one 3 on the 6 sided die. So that will mean there is a 1 in 6 chance to get a 3.

Then the probability of getting tails on a coin is ½ because a coin on has 2 sides.

The probability of getting the 3 on the die and a tail on a coin will be the probability of getting the 3 on the die times the probability of getting the tails on the coin.

⅙×½=1/12

Answer:

324/x

khan let me know

The group of individuals would be the best choice for a random sample is to ask every fourth person who is wearing that brand of sneaker.

We have,

A market research company wants to collect opinions on the comfort and performance of a new type of sneaker by brand x.

We have to determine which group of individuals would be the best choice for a random sample.

A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen

One of the best methods in random sampling is called quartering.

In quartering, the population is divided into 4 quadrants and the

the sample is obtained on one of the quadrants obtained.

In this case, the procedure to do is:

To ask every fourth person who is wearing that brand of sneaker.

Therefore option A is correct.

To learn more about the sampling visit:

https://brainly.com/question/12892403

Answer:

It's b

Step-by-step explanation:

Took it on edge 2022

Step-by-step explanation:

there is one central rectangle :

from (-4, 2) to (2, -2).

that means it dimensions are 6×4 (for x from -4 to +3, for y from +2 to -2).

and then there are 3 additional triangles

(2, -4) (2, 2) (6, 2)

(-4, -2) (2, -2) (2, -4)

(-6, 2) (-4, 2) (-4, -2)

with the leg lengths

(2, -4) to (2, 2) = 6, and (2, 2) to (6, 2) = 4

(-4, -2) to (2, -2) = 6, and (2, -2) to 2, -4) = 2

(-6, 2) to (-4, 2) = 2, and (-4, 2) to (-4, -2) = 4

the area of the rectangle is

6×4 = 24 square units

the area of the first triangle is

6×4/2 = 3×4 = 12 square units

the area of the second triangle is

6×2/2 = 6 square units

the area of the third triangle is

2×4 = 8 square units.

so, the total area is

24 + 12 + 6 + 8 = 50 square units.

to multiply it by 2 because two is the dividend and that is closest to 1

Answer:

625

Step-by-step explanation:

I just did this question

Answer:

The fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things. possible outcomes of the experiment. The counting principle can be extended to situations where you have more than 2 choices.

Step-by-step explanation:

Answer:

Step-by-step explanation:

      =2(5)^2 - 5(7)

      = 2(25) - 35

      = 50 - 35

      = 15

Answer:

23

Step-by-step explanation:

[tex]16 + \frac{56}{n} [/tex]

[tex]where \: n = 8[/tex]

[tex]16 + \frac{56}{8} [/tex]

[tex]23[/tex]

[tex]56 / 8 = 7[/tex]

[tex]7 + 16 = 23[/tex]

With that information, your answer is twenty-three.

Answer:

5/8

Step-by-step explanation:

To find the absolute value you simply remove the negative symbol

Step-by-step explanation:

1. mzoGE = M2GOE

1. Given

2. GE = OE

2.

3. E is the midpoint of AT

3. Given

4. AE ET

4. Definition of the midpoint of a line segment.

5. AE = ET

5. Congruent segments have equal length.

6. MLAEG > MZTEO

6. Given

7. AG > TO

Answer:

The answer is 14/50

Step-by-step explanation:

sin=opp/hyp

sin=14/50

Answer:

written all the angles below:

m<1 = 35°

m<2 = 77°

m<3 = 49°

m<4 = 77°

m <5 = 62°

m<6 = 28°

hope that helps...

Answer:

52.98

Step-by-step explanation:

See attached image to find radius

diamater = Radius * 2

26.49 Yards * 2 = 52.98

Answer:

The Circumference is 150.7 inches

Step-by-step explanation:

The cricumference of a circle is given by the formula:

[tex]C = 2\pi r[/tex]

We are given the radius and are given 3.14 for pi.

Substituting these values into the euation gives us:

C = 2(3.14)(24)

C = (6.28)×(24) = 150.72

The Circumference is 150.7 inches to the nearest tenth.

Answer:

A)  [tex]f(w)=45w+35[/tex]

B)  f(w) is the total number of flowers that bloomed

     w is the number of weeks

C)  1655 flowers

Step-by-step explanation:

Part A

[tex]f(s) = 3s + 35[/tex]

[tex]s(w) = 15w[/tex]

To create the composite function, replace the variable [tex]s[/tex] in the function f(s) with function s(w):

[tex]\implies f(w)=3(15w)+35[/tex]

[tex]\implies f(w)=45w+35[/tex]

Part B

Part C

Substitute w = 36 into the compositie function and solve:

[tex]\implies f(36)=45(36)+35=1655[/tex]

Answer:

5 units down, two to the left. Therefore, x+-2, y+-5

Step-by-step explanation:

Answer:

11:45 AM

Step-by-step explanation:

9:15 +30 mins is 9:45

9:45 +2 hours is 11:45

Hope this helps!

Answer:

[tex]34\pi[/tex]

Step-by-step explanation:

Given,

r = 17 mm

→ Circumference =

[tex]2\pi \: r[/tex]

→ 2x3.14x17

→ 34x3.14 =

[tex]34\pi[/tex]

↓

c = 106.76 mm

Answer:

0.2830

Step-by-step explanation:

Observed Values

Add totals for the rows and columns to the two-way table (see attachment 1).

Expected Values

Create an "Expected Values" table by multiplying each row total by each column total and dividing by the overall total (see attachment 2).

Chi-square test statistic

[tex]\sf \dfrac{(observed-expected)^2}{expected}[/tex]

Create a third table by using the formula to calculate the chi-square test statistic for each cell of the table (see attachments 3 and 4)

Chi-square

Add the values from the table in attachment 4.

[tex]\sf X^2=0.05556+0.03945+0.002315+0.05465+0.04789+0.03401+0.001996+0.04711[/tex] [tex]\implies \sf X^2=0.2830 \:(4 \:sf)[/tex]

PQ is the diameter so the midpoint of PQ is the center of the circle. if we suppose the center point of the circle called o then ;

[tex]o = \frac{pq}{2} \\ [/tex]

[tex]pq = \sqrt{ { (- 10 - 6})^{2} + ({10 - ( - 2)})^{2} } [/tex]

[tex]o = \frac{( -10 ,10) + (6 , - 2) }{2} \\ [/tex]

[tex]o = \frac{( - 10 +6 ,10 - 2)}{2} \\ [/tex]

[tex]o = ( \frac{ - 4}{2} , \frac{8}{2} ) \\ [/tex]

[tex]o = ( - 2,4)[/tex]

For the second step we need to find the radius of the circle which has the half the PQ distance measure, so we have to find the the PQ distance and divide it by 2 :

_____________________________________________

As u know the distance between 2 point is going to find by following formula :

[tex]pq = \sqrt{ {(x(p) - x(q)})^{2} + {(y(p) - y(q)})^{2} } \\ [/tex]

[tex]pq = \sqrt{ ({ - 10 - 6})^{2} + ({10 - ( - 2)})^{2} } [/tex]

[tex]pq = \sqrt{ ({ - 16})^{2} + ({12})^{2} } [/tex]

[tex]pq = \sqrt{256 + 144} [/tex]

[tex]pq = \sqrt{400} [/tex]

[tex]pq = 20[/tex]

Thus :

[tex]radius = \frac{pq}{2} \\ [/tex]

[tex]radius = \frac{20}{2} \\ [/tex]

[tex]radius = 10[/tex]

_____________________________________________

Ok we're almost done cuz we have what we needed:

If we suppose that the first coordinate of the center is a and the second coordinate of the center is b and the radius shown by r then :

[tex] ({x -a})^{2} + ( {y - b})^{2} = {r}^{2} [/tex]

Is the equation of the circle in the standar form thus :

[tex] ({x - ( - 2)})^{2} + ({y - 4})^{2} = {10}^{2} \\ [/tex]

[tex] ({x + 2})^{2} + ({y - 4})^{2} = 100[/tex]

As u can see option B is the correct answer.

And we're done ...

Answer:

h=9

Step-by-step explanation:

I did this one and it was right for pre- algebra,

Answer:

60

Step-by-step explanation:

6% of 250 = 15 = 250 * 0.06

30% of 250 = 75 = 250 * 0.7

75-15=60

Answer:

60

Step-by-step explanation:

Answer:

16.4

Step-by-step explanation:

x = radius

x = 8.7 + 7.7

x = 16.4

Given :-

We can find Total Surface Area , Lateral Surface Area and Volume of Cylinder by given values.

Volume of Cylinder = πr²h

Volume = 3.14×4²×15 cubic feet

Volume = 753.6 cubic feet

Total Surface Area of Cylinder = 2πr(r+h)

TSA = 2×3.14×4(4+15) square feet

TSA = 477.28 square feet

Lateral Surface Area Of Cylinder = 2πrh

CSA = 2×3.14×4×15

CSA = 376.8 square feet

Answer:

5tv. 9. v. 9. 9. o. o. o o. o. 9.

Answer:

Option 1

Step-by-step explanation:

Substiute the value of n with 1 to 6 and find each term.

When n = 1 ,

       [tex]\sf First \ term = \dfrac{1}{2*1+1}=\dfrac{1}{2+1}=\dfrac{1}{3}\\\\[/tex]

[tex]\sf When n = 2,\\\\Second \ term = \dfrac{2}{2*2+1}=\dfrac{2}{4+1}=\dfrac{2}{5}\\\\[/tex]

When n = 3 ,

      [tex]\sf Third \ term = \dfrac{3}{2*3+1}=\dfrac{3}{6+1}=\dfrac{3}{7}[/tex]

When n = 4,

    [tex]\sf Fourth \ term =\dfrac{4}{2*4+1}=\dfrac{4}{8+1}=\dfrac{4}{9}\\[/tex]

When n = 5 ,

   [tex]\sf Fifth \ term = \dfrac{5}{2*5+1}=\dfrac{5}{10+1}=\dfrac{5}{11}\\\\When \ n = 6,\\\\ \: Sixth \ term =\dfrac{6}{6*2+1}=\dfrac{6}{12+1}=\dfrac{6}{13}[/tex]

[tex]Answer: \dfrac{1}{3}+\dfrac{2}{5}+\dfrac{3}{7}+\dfrac{4}{9}+\dfrac{5}{11}+\dfrac{6}{13}[/tex]