The distance round a rectangular cafe 35m,the ratio of the length of the cafe to it's width is 3:2 calculate the dimension of the cafe

Answer:

Hey there!

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

Let me know if this helps :)

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:

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

Learn more about the distributive property here:

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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:

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 ≤ 3

we have to transpose -7 from left to right

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:

  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)

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

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.

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

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:

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.

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:

4:5

Step-by-step explanation:

Davina received 50 votes

Binh reveived 40 votes

It asked for ratio of Binh’s votes to Davina’s

so the ratio is first Binh's 40 to Davina's 50     that's 40 to 50

It want it in simplest form so you find the greatest common factor of 40 and 50 which is 10.

40/10 and 50/10 is 4 to 5

So the answer is 4:5(The ":"  means  "to")

The ratio of Binh’s votes to Davina’s votes is 4:5

The comparison of two numbers or quantities by division is known as the ratio.

Given that, In the student council election, Davina received 50 votes, Binh received 40 votes and Eden received 80 votes.

Required ratio = Binh’s votes \ Davina’s votes  

= 40/50

= 4/5

Hence, The ratio of Binh’s votes to Davina’s votes is 4:5

For more references on ratios, click;

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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:

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.

To solve more questions on Temperature scale conversions, visit the link below-

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Looks like the integral is

[tex]I=\displaystyle\int (4x-6)(x^2-3x+1)^5\,\mathrm dx[/tex]

If you we substitute [tex]y=x^2-3x+1[/tex] and [tex]\mathrm dy=(2x-3)\,\mathrm dx[/tex], we get

[tex]I=\displaystyle2\int(2x-3)(x^2-3x+1)^5\,\mathrm dx=2\int y^5\,\mathrm dy[/tex]

Now use the power rule, and replace y accordingly:

[tex]I=\dfrac{2y^6}6+C=\dfrac{y^6}3+C=\boxed{\dfrac{(x^2-3x+1)^5}3+C}[/tex]

Answer:

256x^8

Step-by-step explanation:

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: The number 99.4177 rounded to the nearest hundredth is 99.42.

Step-by-step explanation:

Here's how I got my answer:

Since you need to round to the nearest hundredth, then round to the first two decimal places. So if the number is 5 or greater, then round up. If the number is 4 or lesser, then do not round up.

In this scenario:

99.4177

Round the 1 in the hundredths place up to 2, because 7 is on the greater end. Since they are just asking you for the hundredths place, then do not round anything else.

Hence, your final answer is 99.42.

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:

(4, 1 )

Step-by-step explanation:

Given the 2 equations

2x + 3y = 11 → (1)

x - 3y = 1 → (2)

Adding (1) and (2) term by term will eliminate the term in y

3x = 12 ( divide both sides by 3 )

x = 4

Substitute x = 4 into either of the 2 equations and evaluate for y

Substituting into (1)

2(4) + 3y = 11

8 + 3y = 11 ( subtract 8 from both sides )

3y = 3 ( divide both sides by 3 )

y = 1

Solution is (4, 1 )

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:

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:

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:

[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:

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

They are called coterminal angles.

Answer:

It's coterminal

Step-by-step explanation:

Same initial