Is -90 a rational number help

Answer:

63/4 or 15.75 or 153/4.

Answer:

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Given parameters:

Charge per day of Tuxedo = $30 per day

Non-refundable charge = $60 for each tuxedo

Unknown:

Equation to determine total cost = ?

Solution:

  Represent;

 Total cost  = y

 Number of days = x

Now;

   Total cost =  Non refundable charge + charge per day

          y  = $60 + $30x

The equation is;

        y = 60 + 30x for a tuxedo

Answer:

£90

Step-by-step explanation:

Total money=£1100

Cost of new tv=£530

Mortage payment=£480

Therefore total money left =1100-(530+480)

=1100-1010=£90

Answer:

Sunayana's income is ₹25000 and expenditures are ₹15000.

Step-by-step explanation:

Let i denote the monthly income and e denote the expenditures.

We know that the ratio of the monthly income to expenditure is 5:3. So, we can write the following proportion:  

[tex]\displaystyle \frac{i}{e}=\frac{5}{3}[/tex]

Let's multiply both sides by e. This yields:

[tex]\displaystyle i=\frac{5}{3}e[/tex]

We know that when the income is increased by 5000 and the expenditures are decreased by 3000, the new ratio is 5:2. So, we can write the following proportion:

[tex]\displaystyle \frac{i+5000}{e-3000}=\frac{5}{2}[/tex]

Let's multiply both sides by [tex](e-3000)[/tex]:

[tex]\displaystyle i+5000=\frac{5}{2}(e-3000)[/tex]

Since we know that [tex]i=\frac{5}{3}e[/tex], substitute:

[tex]\displaystyle \frac{5}{3}e+5000=\frac{5}{2}(e-3000)[/tex]

So, let's solve for the expenditures. Distribute the right:

[tex]\displaystyle \frac{5}{3}e+5000=\frac{5}{2}e-7500[/tex]

Subtract [tex]\frac{5}{2}e[/tex] from both sides:

[tex]\displaystyle -\frac{5}{6}e+5000=-7500[/tex]

Subtract 5000 from both sides:

[tex]\displaystyle -\frac{5}{6}e=-12500[/tex]

Multiply both sides by -6/5. So, the expenditures are:

[tex]e=\text{Rs }15000[/tex]

We can use the original ratio to find Sunayana's income:

[tex]\displaystyle i=\frac{5}{3}e[/tex]

Substitute 15000 for e. Evaluate:

[tex]\displaystyle i=\frac{5}{3}(15000)=\text{Rs }25000[/tex]

So, Sunayana's income is ₹25000 and expenditures are ₹15000.

And we're done!

Answer: Income = 25000, Expenditures = 15000

Step-by-step explanation:

A ratio of 5:3 can also be written in fraction form as [tex]\dfrac{5}{3}[/tex] (which is in simplified format from [tex]\dfrac{5x}{3x}[/tex]).

Adding 5000 to 5x results in 5x + 5000

Subtracting 3000 from 3x results in 3x - 3000

--> [tex]\dfrac{5x+5000}{3x-3000}[/tex]

The new ratio of 5:2 can be written in simplified fraction form of [tex]\dfrac{5}{2}[/tex].

Set the fractions equal to each. Then cross multiply and solve for x.

   [tex]\dfrac{5x+5000}{3x-3000}=\dfrac{5}{2}[/tex]

5(3x - 3000) = 2(5x + 5000)             Cross multiplied

15x - 15000 = 10x + 10000                Distributed

5x - 15000 =            10000                Subtracted 0x from both sides

5x               =            25000               Added 15000 to both sides

               x = 5000                            Divided 5 from both sides

The original ratio of 5 : 3     -->  5x:3x

where 5x is the income and 3x is the expenditures results in:

income = 5x                            expenditures = 3x

             = 5(5000)                                         = 3(5000)

             = 25000                                          = 15000

To find m, we can use the formula y2 - y1 / x2 - x1

x1 = 2

y1 = 50

x2 = 4

y2 = 90

Let's plug these numbers into our formula.

m = 90 - 50 / 4 - 2 = 40/2 = 20

So far our equation looks like: y = 20x + b

Now, let's plug one of the points into our equation.

50 = 20(2) + b

Simplify

50 = 40 + b

Subtract 40 from both sides.

10 = b

The final equation is: y = 20x + 10

Answer:

$69.54

Step-by-step explanation:

57 * .07 = 3.99

57* .15 =8.55

8.55+3.99+57 =69.54

Answer:

90

Step-by-step explanation:

1 is in the hundreds place

9 is in the tens place

4 is in the ones place

6 is in the tenths

Answer: everything except option 2 I think

Step-by-step explanation:

Rational numbers are numbers that can be written as quotients

Answer:

y=-4

Step-by-step explanation:

Hope this helps :)

Answer:

y = -4

Step-by-step explanation:

Assuming we are solving for y, start by isolating the variable:

-28 = 5y - 8

-20 = 5y (Added 8 on both sides.)

-4 = y (Divided 5 on both sides.)

Answer:  B) The value of k must be between 1 and 2

The function f(x) has a restricted domain [1, 2] which means [tex]1 \le x \le 2[/tex]

So we can only pick inputs in that interval. If x = k, then [tex]1 \le k \le 2[/tex]

Answer:

Step-by-step explanation:

(10x + 17)° = 87° + 5x° (This is because of the rule of corresponding angles)

=> 10x° = 87° + 5x° - 17°

=> (10x - 5x)° = 87° - 17°

=> 5x° = 70°

=> x° = ( 70/5 )°

=> x° = 14°

Therefore x = 14°

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer:

[tex]0.9\bar{2}[/tex]

Step-by-step explanation:

since the bar or line over the number means that it is repeated. This is also equivilent to the rational fraction 83/90

Answer:

n=15          j=12

Step-by-step explanation:

The scale factor is 1.5

Match up the triangles, and you can see that 12/8=1.5

10*1.5=j, or 15

18/1.5=12

Answer:

4,240 tickets

Step-by-step explanation:

The first level of standing room is a square with one side measuring 80'.

Area of the first level = length^2

= 80^2

= 6,400 square ft

The second level, also standing room, is a rectangle measuring 120' by 30' ft.

Area of the second level = length × width

= 120 × 30

= 3,600 square ft

Total area of the standing rooms = (6,400 + 3,600) square ft

= 10,000 square ft

Each person in the standing room will occupy 2.5 square ft

Number of Persons that will occupy the standing room = Total area of the standing rooms / 2.5 square ft

= 10,000 square ft / 2.5 square ft

= 4,000

Therefore the number of Tickets that should be sold

= Number of seats + Number for standing Room

= 240 + 4000

= 4,240 tickets

Answer:

Step-by-step explanation:

These are what the symbols mean so you can better understand them

p: I like to go to the beach

q: I like to eat ice cream

r: I do not enjoy rainy days

^ = means OR so a that has or in it.

v = means AND so any sentance with and in it

~ = not so any phrase that condridicts what the origional P,Q, and/or R

∴ = Therefore so any phrase with therefore.

So; p ∧ q would be P... OR... Q  acording to the key above would be

I ilke to go to the beach OR I like to eat icecream.

You can figure out the rest! Hope this helps you!

Answer:

~q v r

Step-by-step explanation because I mart

Answer:

x + (x+1) + (x+2) + (x+3) = -62

x = -17

Step-by-step explanation:

x = smallest

x + (x+1) + (x+2) + (x+3) = -62

4x +6 = -62

4x = -68

x = -17

Answer:None

Step-by-step explanation:

You can write a statement of proportionality without any additional information:

weight = k × length for some constant k

If you need to know the specific weight of a specific length, then you need to know the constant of proportionality (the value of k).

Answer:

X=75 Bottom is 75, right is 105, up is 70, left is 110.

Step-by-step explanation:

4.4x+30=360

4.4x=330

x=75

6x -18+x

7x-18

Option C is the correct answer

Answer:

answer would be 120 degrees.

Step-by-step explanation:

because 4y+4+60=180

angle Q =4y+4

so 180-60=120

Answer:

y=41  73=x

Step-by-step explanation:

180=x+9+98

minus 98 from both sides

82=x+9

minus 9 from both sides

73=x

2y=x+9 because they are corresponding angles

2y=73+9

2y=82

divide by 2 on both sides

y=41

Answer:

2/6

Step-by-step explanation:

1/3 times 2

Answer: c

Feet

2

5

6

7

Inches

24

60

72

84

Step-by-step explanation: 1ft = 12 inches 2ft=24 inches 3ft= 36 inches etc

multiply ft by 12 to get inches

Answer:

1

Step-by-step explanation:

1 is a positive integer

Answer:

40 + 2W < 57

Step-by-step explanation:

Given that:

Perimeter of a rectangle (P) :

P = 2(length(L) + width(W))

If the length of a certain rectangle L = 20 ; which inequality shows perimeter of rectangle is less than 57 units

P = 2(length(L) + width(W))

40 + 2W < 57

Given:

You and your friend each purchase an equal number n of magazines.

Your magazines cost = $1.50 each

Your friend's magazines cost = $2 each

Total cost = $10.50

To find:

The equation to find number of magazines you purchased.

Solution:

Your magazines cost = $1.50 each

Your friend's magazines cost = $2 each

Number of magazines purchased by you and your friend = n

Total cost = [tex]1.50n+2n[/tex]

It is given that total cost is $10.50.

[tex]1.50n+2n=10.50[/tex]

[tex]3.50n=10.50[/tex]

Divide both sides by 3.50.

[tex]n=\dfrac{10.50}{3.50}[/tex]

[tex]n=3[/tex]

Therefore, required equation is [tex]1.50n+2n=10.50[/tex] and the number of magazines purchased by you is 3.

Answer:

x≥−7

Step-by-step explanation:

Answer:

x [tex]\geq[/tex] -7

Step-by-step explanation:

-49x - 56 [tex]\leq[/tex] 287

-49x [tex]\leq[/tex] 343

x [tex]\geq[/tex] -7

note: if you're going to divide by a negative number you need to flip the sign.