Twice a number added to a smaller number is 5. The difference of 5 times the smaller number and the larger number is 3. Let x represent the smaller number and y represent the larger number. Which equations represent the situation? 2 y + x = 5. 5 x minus y = 3. 2 x + y = 5. 5 y minus x = 3. 2 y + x = 5. y minus 5 x = 3. 2 x + y = 5. x minus 5 y = 3.

Answer:

Step-by-step explanation: so you calculate how many people ate chicken, beef, fish or are vegetarian then you will add it all together

chicken=128

beef= 80

fish=32

vegetarian=112

128+80+32+112= 352 people ate at the restaurant

Answer:

Altogether, 88 people went to the restaurant.

Step-by-step explanation:

Answer:

60 or 70

Step-by-step explanation:

Answer:

The shape is a trapezium; so use the formula for solving area of a trapezium to solve it. Which is

1/2(a+b)×h

=1/2(10+6)×7

=1/2 × 16 × 7

= 8×7

=56

Answer:

When two vectors are parallel, it's because the angles of inclination are equivalent. They are defined by

[tex]\theta = tan^{-1}(\frac{y}{x} )[/tex]

So, we just need to find the angle for each vector and see if they are equivalent.

We have vectors [tex](3,1)[/tex] and [tex](-13,-1)[/tex]. You already can deduce that these vectors are not parallel, because, their divisions are not equivalent.

[tex]\frac{1}{3} \neq \frac{-1}{-13}[/tex]

Which will give different angles in the end.

Let's try the other pair of vectors [tex](2,3)[/tex] and [tex](-3.-2)[/tex]. Their division would be

[tex]\frac{3}{2} \neq \frac{-2}{-3}\\ 1.5 \neq 0.67[/tex]

As you can observe, their divisions are not equivalent, which means their tangents are not equivalent.

Therefore, those vectors are not parallel, because they don't have equivalent angles of inclination, not matter if they are pointing to the same or different direction.

Answer:

  8/15 acres per hour

Step-by-step explanation:

To find acres per hour, divide acres by hours:

  (2/5 ac)/(3/4 h) = (2/5)(4/3) ac/h = 8/15 ac/h

Derek can cover 8/15 acres per hour.

Answer:

-72

Step-by-step explanation:

I googled it.

Answer:

-72

Step-by-step explanation:

You take the 9, multiply by the -8, and boom. You get -72.

And when you multiply two opposite signs together, it equals to a negative number.

Boom bam boom you became a bit smarter

Given : p partners equally share the profits from a sale of $3,600

To find :  Which algebraic expression represents this situation

Solution:

Number of Partners  = p

Total Profit  = $ 3600

Profit of Each Partner  = Total Profit / number of Partners

=> Profit of Each Partner  = 3600 / p

Hence     is  algebraic expression that represent the  Share of each partner

Answer:

D

Step-by-step explanation:

100% on quiz

Answer:  x = 3/2

Step-by-step explanation:

log (2) + log (x) = log (3)       Given

log(2x) = log(3)                     Condensing log rules

    2x = 3                              Cancellation log rule

      [tex]x=\dfrac{3}{2}[/tex]                             Division Property

Answer:

I Believe if so, this is your answer

Step-by-step explanation:

y = e ( x )

OR

y = √ x − 10

Answer:

5

Step-by-step explanation:

The triangle pictured is a 45-45-90 triangle, meaning both legs are the same length, 5.

Answer:

Hello!

`~~~~~~~~~~~~~~~~~~~~~

Your answer would be (C)  10x2 + 18x+ 30

~~~~~~~~~~~~~~~~~~~~~~

Hope this helped you!

P . S I would've put the explaintion but it's to long.

Answer:

not d

Step-by-step explanation:

i tried it hehhe

Answer: 60 square units

Step-by-step explanation:

Answer:

B. 24700

Step-by-step explanation:

Answer:

b. 24700 cm³

Step-by-step explanation:

[tex]\frac{lwh}{3} \\\\65*30*38/3 = 24700 cm^3[/tex]

Hope this helps! :)

Answer:

110

Step-by-step explanation:

There are 200 people in a cinema- This is our total amount.

25 % of the people are men.

.25 times 200= 50

There are 50 men.

1/5 (20%) of the people are women.

.2 times 200 = 40

There are 40 women.

50+40 = 90

There are 90 adults in the cinema.

If there are 200 total people in the cinema, and 90 of them are adult, then 110 of them are children.

The percentage is 55%.

The simplified fraction is 11/20.

The decimal is .55  

Answer:

part A 1.68

part B 29.67

Step-by-step explanation:

First you multiply $39.99 dollars and  0.30 = $11.9970 you round this to $12.00

After you apply the discount $39.99 - $12.00  = 27.99  

Next you must multiply 27.99*0.06 =1.6794 and round to 1.68 to get tax

Last you add $27.99 and 1.68 to get a total of $29.67 for the headphones

Plz give brainliest i didnt look it up.

The sales tax amount is $1.68, and the total amount paid is $29.66

The price is given as:

[tex]Price = \$39.99[/tex]

The sales tax is given as:

[tex]Sales\ tax = 6\%[/tex]

The discount is given as:

[tex]Discount = 30\%[/tex]

(a) The sales tax paid

Start by calculating the discounted price, using:

[tex]Discount = Price \times (1 - 30\%)[/tex]

So, we have:

[tex]Discount = \$39.99 \times (1 - 30\%)[/tex]

[tex]Discount = \$39.99 \times 0.70[/tex]

[tex]Discount = \$27.993[/tex]

The sales tax is then calculated using:

[tex]Sales\ tax = \$27.993 \times 6\%[/tex]

[tex]Sales\ tax = \$1.67958[/tex]

Approximate

[tex]Sales\ tax = \$1.68[/tex]

(b) The total amount paid

This is calculated as:

[tex]Total = Discount + Sales\ Tax[/tex]

[tex]Total = \$27.99 +\$ 1.67[/tex]

[tex]Total = \$29.66[/tex]

Hence, the sales tax amount is $1.68, and the total amount paid is $29.66

Read more about discounts and sales tax at:

https://brainly.com/question/13961909

Answer:

hello the data is missing but it is included in the explanation below

missing data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6

Answer :

A) range = 9 , variance = 8.3015,  standard deviation = 2.8812

B)  The results cannot be a representative of the variation of attractiveness among the population of adult males

Step-by-step explanation:

A ) calculate the Range, variance and standard deviation

The given data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6

i) Range = difference between largest and smallest values

              = 10 -1 = 9

ii) variance = summation of ; (xi − x)^2/n-1

                   = 207.5385/26−1   ≈ 8.3015

iii) standard deviation = [tex]\sqrt{variance}[/tex]

                                    = [tex]\sqrt{8.3015}[/tex] = 2.8812

B) The results cannot be a representative of the variation of attractiveness among the population of adult males

Answer:I would say it’s 52in

Step-by-step explanation:

Answer:

C: 38 units

hope this helps!!

Answer:

7i

Step-by-step explanation:

√-49= √-1*7²= 7√-1= 7i

Answer:

7i

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

9m

Step-by-step explanation:

Let x be the length of the rectangle and P the perimeter

P= 4*2+ 2x

26= 8+2x

18= 2x

x= 9 m

Answer:

Child's dosage=60 milligram

Step-by-step explanation:

The correct formula is below

C= a/(a+12) ∙ A

Where,

C = child’s dosage in milligrams

a = age of the child

A = adult dosage in milligrams

a=6 year old

A=180 milligrams

C= a/(a+12) ∙ A

=6/(6+12)*180

=6/18*180

=1/3*180

=60

Child's dosage in milligram=60 milligram

Answer:

B. -9, 7

Step-by-step explanation:

For the rational expression to be undefined the denominator has to equal 0.

x² + 2x - 63 = 0

Factor left side.

(x - 7)(x + 9) = 0

Set factors equal to 0.

x - 7 = 0

x = 7

x + 9 = 0

x = -9

x = -9 or x = 7

Answer:

B

Step-by-step explanation:

A rational expression is undefined when the denominator of the expression equals 0 (this is because anything over 0 is undefined). In other words, to find the values for which the given expression is undefined, we simply have to find the zeros of the denominator. We can ignore the numerator. Thus, let:

[tex]0=x^2+2x-63[/tex]

This is now a quadratic. Solve for the quadratic. I will factor but you can do whatever you like (complete the square, quadratic formula, etc.).

We notice that two factors that multiply to -63 and also add to +2 is 9 and -7. Thus:

[tex]0=(x+9)(x-7)[/tex]

[tex]x+9=0 ; x=-9[/tex]

[tex]x-7=0; x=7[/tex]

The zeros are -9 and 7.

The denominator will equal 0 at these values, and the expression will be undefined.

Answer:

Step-by-step explanation:

1). f(x) = x² - 9

   g(x) = x - 3

   h(x) = f(x) ÷ g(x)

          = [tex]\frac{x^2-9}{x-3}[/tex]

          = [tex]\frac{(x+3)(x-3)}{(x-3)}[/tex]

          = (x + 3)

2). f(x) = x² - 4x + 3

         = x² - 3x - x + 3

          = x(x - 3) - 1(x - 3)

          = (x - 1)( x- 3)

    g(x) = x - 3

   h(x) = f(x) ÷ g(x)

          = [tex]\frac{(x-1)(x-3)}{(x-3)}[/tex]

          = (x - 1)

3). f(x) = x² + 4x - 5

          = x² + 5x - x - 5

          = x(x + 5) - 1(x + 5)

          = (x - 1)(x + 5)

    g(x) = x - 1

    h(x) = f(x) ÷ g(x)

           = [tex]\frac{(x-1)(x+5)}{(x-1)}[/tex]

           = (x + 5)

4). f(x) = x² - 16

          = (x - 4)(x + 4) [Since a² - b² = (a - b)(a + b)]

   g(x) = (x - 4)

   h(x) = f(x) ÷ g(x)

          = [tex]\frac{(x-4)(x+4)}{(x-4)}[/tex]

          = (x + 4)

Answer:

Step-by-step explanation:

1). f(x) = x² - 9

  g(x) = x - 3

  h(x) = f(x) ÷ g(x)

         =

         =

         = (x + 3)

2). f(x) = x² - 4x + 3

        = x² - 3x - x + 3

         = x(x - 3) - 1(x - 3)

         = (x - 1)( x- 3)

   g(x) = x - 3

  h(x) = f(x) ÷ g(x)

         =

         = (x - 1)

3). f(x) = x² + 4x - 5

         = x² + 5x - x - 5

         = x(x + 5) - 1(x + 5)

         = (x - 1)(x + 5)

   g(x) = x - 1

   h(x) = f(x) ÷ g(x)

          =

          = (x + 5)

4). f(x) = x² - 16

         = (x - 4)(x + 4) [Since a² - b² = (a - b)(a + b)]

  g(x) = (x - 4)

  h(x) = f(x) ÷ g(x)

         =

         = (x + 4)

Answer: 343 cm³

Step-by-step explanation:

The surface area of a cube is 6s^2, where s is the side length of a square.  Thus, first do 294/6 to get 49.  Then take the square root of 49 to get that each side of the cube is 7.  The volume of a cube is s^2, so simply do 7*7*7 to get that the volume of the cube is 343cm^3

Hope it helps <3

Answer:

V =343 cm^3

Step-by-step explanation:

The surface area of a cube is given by

SA = 6s^2 where s is the side length

294 = 6s^2

Divide by 6

294 / 6 = s^2

49 = s^2

Take the square root of each side

sqrt(49) = sqrt(s^2)

7 =s

The volume of a cube is

V = s^3

V = 7^3

V =343 cm^3

Answer:

the correct answer is D

Step-by-step explanation:

The correct answers are A, B, and D

We can use the points (-4, 3) and (3, 1) to solve.

Slope formula: y2-y1/x2-x1

1-3/3-(-4)

-2/7

Therefore, the answer is C

Best of Luck!

Answer:

-2/7

Step-by-step explanation:

To find the slope we use the formula

( -4,3) and ( 3,1) are two points on the line

m = ( y2-y1)/(x2-x1)

    = ( 1-3)/( 3 - -4)

    ( 1-3) /(3+4)

     -2/7

Answer:

The volume of the composite figure is 162.7 in^3

Step-by-step explanation:

Here, we have a cylinder placed over a cube

The volume of the cube is L^3

With L being the length of its side = 5

The volume of the cube is 5^3 = 125 in^3

The volume of the cylinder is pi * r^2 * h

with r = 2 in and h = 3 in

The volume of the cylinder = 22/7 * 2^2 * 3 = 37.699 = 37.7 in*3

Total volume is thus;

37.7 + 125 = 162.7 in^3

Answer:

x = 4

Step-by-step explanation:

2x/2 = 8/2

x =4