Need help I don’t understand

Answer:

X/y = 2/5

Y= x+12

Where y = students

X= adults

Number of adults= 8

Number of students= 20

Step-by-step explanation:

The ratio of adults to students on a class field trip is 2 to 5. If there are 12 more students than adults.

Let adult be x

Let student be y

X/y = 2/5

5x= 2y.... equation one

Y= x+12..... equation two

Substituting equation two into equation one

5x= 2(x+12).

5x = 2x +24

3x= 24.

X= 8

Y= x+12

Y= 8+12

Y= 20

Number of adults= 8

Number of students= 20

Answer:  x = 34

Step-by-step explanation:

⁴ ⁻ˣ/₅ + ˣ + 2/₃ = 6

Now resolve into fraction and convert to a linear equation

4 - x /₅ + x + 2/₃ = 6

3( 4 -x ) + 5( x + 2 )/15 = 6

3( 4 - x ) + 5( x + 2 )    = 6 x 15

12 - 3x + 5x + 10         = 90

        2x + 22              = 90

                             2x  = 90 - 22

                             2x  = 68

                                x = 34

Answer:

x ≤ 3

we have to transpose -7 from left to right

Answer:

x=14

Step-by-step explanation:

1[tex]\sqrt{x+2}[/tex] +2 = 6 --------------- put nums on 1 side

1[tex]\sqrt{x+2}[/tex] = 4 -------------------by the way, 1

[tex]\sqrt{x+2}[/tex]  =4 ------------- square both sides

x+2 = 16 --------------- subtract 2 from both sides

x = 14

Answer:

see below

Step-by-step explanation:

1 million

1,000,000 seconds * 1 hour/ 3600 seconds * 1 day/ 24 hours * 1 year / 365 days

.031709792 years

Rounding to 3 decimal places

.032 years

50 years * 365 days/ 1 year * 24 hours/ 1 day * 3600 second / 1 hour    

1577000000 seconds    

46 inches * 1 ft/ 12 inches *  1 mile/5280 ft

0.000726 miles

Hello, please consider the following.

[tex]3a+5b + 5a + 3b = 8(a+b)=10+30=40\\\\a+b=\dfrac{40}{8}=5[/tex]

And the average is

[tex]\dfrac{a+b}{2}\boxed{=\dfrac{5}{2}}[/tex]

Thank you.

Answer:

68.67

Step-by-step explanation:

Round 8.8% to 9%.

multiply 63.00*0.09=68.67

Answer:

$5.54

Step-by-step explanation:

how i found it out

63×.088=5.54

Answer:

It removes the repeating part of the decimal from the equation.

Step-by-step explanation:

Described here is the process of converting the repeating decimal fraction into fraction in the form of p/q

1) --------------

2) --------------

3) --------------

So the purpose of step 3 here is to remove the repeating part of the decimal from the equation

Correct option is the first one.

Answer:

19

Step-by-step explanation:

10 + 9 = 19. If you look at how many students are above the "30 mark", you will count 10 on the first bar and 9 on the second.

Answer:

274.556 degrees to the nearest thousandth.

Step-by-step explanation:

33 ' = 33/60 = 0.55 degrees.

23" = 23/60 minutes

= 23/60 / 60 = 0.00639 degrees

So the answer is 274 + 0.55 + 0.00639 degrees

=

274.55639 degrees.

Answer:

Use the coordinate plane to plot the point (3, 6). Then complete the statements that explain how to plot the point. Start at the origin.  Move 3 units right Move 6 units up Plot a point there.

Step-by-step explanation:

To plot the point, start at the origin. Move 3 units right and Move 6 units upwards to plot a point (3  6).

A coordinate plane is a plane in which a set of two number lines are represented, horizontal line is called x-axis and vertical line is called y-axis.

The given point is  (3, 6).

The coordinate plane to plot the point (3, 6) is shown below.

To plot the graph of point (3, 6) on coordinate plane,

Start at the origin. Move 3 units right and Move 6 units upwards to plot a point (3  6).

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Answer:

The  probability is  [tex]P(\$20,000 < X < \$35,000) = 0.6[/tex]

Step-by-step explanation:

From the question we are told that

     Workers' salaries in your company are uniformly distributed between $15,000 and $40,000 per year

  Generally the probability that a randomly chosen worker earns an annual salary between $20,000 and $35,000 is mathematically represented as

        [tex]P(\$20,000 < X \$35,000) = \frac{ 35000 - 20000}{ 40000 - 150000}[/tex]

  => [tex]P(\$20,000 < X < \$35,000) = 0.6[/tex]

Using the uniform distribution, it is found that there is a 0.6 = 60% probability that a randomly chosen worker earns an annual salary between $20,000 and $35,000.

An uniform distribution has two bounds, a and b.  

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

In this problem, uniformly distributed between $15,000 and $40,000, hence [tex]a = 15, b = 40[/tex].

The desired probability is:

[tex]P(20 \leq X \leq 35) = \frac{35 - 20}{40 - 15} = 0.6[/tex]

0.6 = 60% probability that a randomly chosen worker earns an annual salary between $20,000 and $35,000.

A similar problem is given at https://brainly.com/question/13547683

Answer:

[tex] {4}^{x - 1} = \frac{49}{4} [/tex]

Step-by-step explanation:

My work is in the attachment but I essentially used a hefty bit of Algebraic manipulation to turn 2^x into 4^(x-1) and then isolating that bit.

Comment if you have any questions.

Answer:

49/4

Step-by-step explanation:

4^x-1 = (2^x)^2/4 = 7^2/4 = 49/4

Answer:

x = 6

Step-by-step explanation:

2/3=8/x+6

Using cross products

2 * (x+6) = 3*8

2(x+6) = 24

Divide by 2

x+6 =12

Subtract 6

x = 6

Answer:

Tyler had 7/12  pound of trail mix

He ate 4/12 of it i.e

7/12-4/12=7-4/12

3/12=1/4

He has 1/4 of trial mix left

Answer:

0.137.

Step-by-step explanation:

Given that

Sample size = 1100

Afraid to fly = 10 %

Mean = n x p

Mean = 1100 x 0.1 = 110

Variance = n p q

Variance = 1100 x 0.1 x 0.9 = 99

Standard deviation = [tex]\sqrt{n\times p\times q}[/tex]

S.D.=[tex]\sqrt{1100\times 0.1\times 0.9}[/tex]

S.D.=9.94

By using Normal distribution

[tex]Z=\dfrac{X-\mu}{\sigma}[/tex]

[tex]Z=\dfrac{121-110}{9.94}[/tex]

Z=1.16

[tex]P(X>121)=P(Z>1.16)=1-0.8643\\P(X>121)=0.137\\[/tex]

Thus the answer will be 0.137.

Answer:

Is b

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Hello,

Given the original number n.

[tex]\large \boxed{n}[/tex]

Multiply the number by 9.

[tex]\large \boxed{9n}[/tex]

Add 99.

[tex]\large \boxed{9n+99}[/tex]

Divide this sum by 9.

[tex]\large \boxed{\dfrac{9n+99}{9}=n+11}[/tex]

Subtract the original number, n, from the quotient.

[tex]\large \boxed{n+11-n=11}[/tex]

Thank you.

Answer:

Hey there!

From least to greatest, we have |3|, |-46|, |71|, and |94|

Let me know if this helps :)

Answer:

D. The oldest is 92 youngest 49

Step-by-step explanation:

we can get the answer by pairing each of the values on the left hand side that is these values 4 5 6 7  9 with values on the right.

the first age from the top row is 49 the second is 49

from the second row it is 50 50 51 51 52 5 59

from the 3rd row 61 62 63 64 64 65 6

from the forth row t s 71 72 73 73 74 75 7

from the fifth row it is 80 81 83 87

from the sxth row it is 91 92.

each of the numbers  have just written out represents age. the oldest age there is 92 whle the youngest s 49. It is simply each number under attorney paired wth stem to make a number.

I added an attachment with the pairing

Answer:

7x - 3

hoped i helped

The final expression after applying the distributive property is 7x-3

According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Given here: The expression as 4+7(x-1)

The distributive property tells us how to solve expressions in the form of a(b + c).  

Now applying distributive property and solving for like terms we get :

4+7(x-1) =4+7x-7

            =7x-3

Thus the distributive property rule of real numbers is used to simplify the given expression.

Hence, The final expression after applying the distributive property is 7x-3

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he got 0.08 percent questions correct

Answer:

72%

Step-by-step explanation:

A percentage is a number out of 100.  For example, 32/100 is 32%.  What you want to do with percentages is multiply the denominator of a fraction so it becomes 100 and multiply that same number to the numerator.  Sort of like a ratio!

If Mark got 18/25, we can multiply 25 by 4 to get 100 as the denominator.

Since you multiplied the denominator by 4, you have to multiply the numerator by 4 as well.  

18 times 4= 72.  So the numerator is 72 and the denominator is 100.  The fraction is 72/100, which is 72% since it is out of 100.

Step-by-step explanation:

y is the number of gallons left in the tank.

x is the number of hours you have been driving

Rate of consumption of gas

= (18 - y / x)

= 5 / 3 gallon per hour

= 6.309 L / hr

The rate at which your truck is using gas is 5/3 gallons per hour.

The rate at which your truck is using gas is calculated as follows;

Given that after 6 hours of driving, you have 8 gallons left in the tank, we can set up the following equation using the two given data points:

(Initial gallons - Remaining gallons) / (Initial time - Time elapsed) = (Change in gallons) / (Change in time)

The equation becomes;

Rate = (18 gallons - 8 gallons) / (6 hours - 0 hours)

Rate = (18 - 8) / 6

Simplifying this equation, we get:

Rate = 10 / 6

Rate = 5 / 3

Therefore, the rate at which your truck is using gas is 5/3 gallons per hour.

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Answer:

[see below]

Step-by-step explanation:

[tex]7(1/8)+7(1/13)\\\\\text{Add Whole Numbers: }\\\\7 + 7 = 14\\\\\text {Add fractions: }\\\\ (1/8)+(1/13)\\\\LCM (8, 13): 104\\\\(13/104)+(8/104)\\\\(21/104)\\\\\\\text{Combine: }\\\\14 + (21/104)\\\\\boxed{14\frac{21}{104}}[/tex]

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Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

                  [tex]\boxed {14\frac{35}{104}}[/tex]

Step 1 : Solving the fraction parts.

[tex]\frac{71}{8} + \frac{71}{13} = ?[/tex]

Find the LCD of 71/8 and 71/13 and rewrite to solve with the equivalent fractions.

LCD = 104

[tex]\frac{923}{104} + \frac{568}{104} = \frac{1491}{104}[/tex]

Simplifying the fraction part, 1491/104,

[tex]\frac{1491}{104} = 14\frac{35}{104}[/tex]

____________________

Solution by Formulas

____________________

Using the given fractions

[tex]\frac{71}{8} + \frac{71}{13}[/tex]

Applying the fractions formula for addition,

[tex]= \frac{(71 . 13) + ( 71 . 8 ) }{8 . 13}[/tex]

[tex]= \frac{923 . 568}{104}[/tex]

[tex]= \frac{1491}{104}[/tex]

Simplifying 1491/104, the answer is:

[tex]\boxed {14\frac{35}{104}}[/tex]

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Have a great day/night!

❀*May*❀

Answer:

a. x = -2

Step-by-step explanation:

64ˣ = 16⁽ˣ⁻¹)

64 = 4³

16 = 4²

4³⁽ˣ⁾ = 4²⁽ˣ⁻¹)

4³ˣ = 4²ˣ⁻²

3x = 2x - 2

x = -2

Answer:

[tex]\huge \boxed{x=-2}[/tex]

Step-by-step explanation:

64^x = 16^(x-1)

Rewrite the bases with base of 4.

(4^3)^x = (4^2)^(x-1)

Multiply exponents.

4^(3x) = 4^(2(x-1))

Cancel same bases.

3x = 2(x-1)

Expand brackets.

3x = 2x - 2

Subtract 2x from both sides.

x = -2

Answer:

3x-x+2=12

2x+2=12

2x = 10

x=5

Answer:

d

Step-by-step explanation:

Given

3x - x + 2 = 12, that is

2x + 2 = 12 ( subtract 2 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

They are called coterminal angles.

Answer:

It's coterminal

Step-by-step explanation:

Same initial

Answer:

  5 hours

Step-by-step explanation:

Let s and w represent hours spent traveling south and west, respectively. The problem statement tells us ...

  s + w = 8 . . . . . . total trip time

  344s + 351w = 2773 . . . . total mileage (using d = s·t)

By Cramer's rule, we can find the value of s as ...

  s = (1(2773) -351(8))/(1(344) -351(1)) = -35/-7 = 5

The plane was heading south for 5 hours.

_____

Comment on Cramer's rule

For the equations ...

  ax +by = c

  dx +ey = f

The solution for x can be found to be ...

  x = (bf-ec)/(bd-ea)

Similarly, the solution for y is ...

  y = (cd-fa)/(bd-ea)

I'm not sure what you're really talking about.

But I think you are talking about fractions.

In fractions there are two places

The number that goes on the top is numerator.

Answer:

Step-by-step explanation:

Definitely not.  -35 degrees is far below freezing (+32 degrees).  On the other hand, +35 degrees is very warm indeed.

No, the temperature of 35 degrees Fahrenheit is not as cold as a temperature of -35 degrees Fahrenheit.

We have temperature in degrees Fahrenheit.

We have to investigate - " Is a temperature of 35 degrees Fahrenheit as cold as a temperature of -35 degrees Fahrenheit ".

The formula is -

(°F − 32) × 5/9 = °C

According to the question -

Assume that -

A = 35°F = 1667 °C

B = -35°F = -37.2222 °C

The temperature 35°F represents very very high temperature (hot) whereas the  temperature  -35°F represents very very low temperature (cold).

Hence, No, the temperature of 35 degrees Fahrenheit is not as cold as a temperature of -35 degrees Fahrenheit.

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