A couch and coffee table cost a total of $1156. The cost of the couch is three times the cost of the coffee table find the cost of each item.

Answer:

Because if you multiply 6 three times, it comes out to be 18.

So basically, 6 x 3 = 18

To be sure, 18 ÷ 6 = 3

So, 18:3 = 6:1

18:3 and 6:1 are equivalent ratios because those are equivalent fractions.

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or   [tex]\dfrac{a}{b}[/tex]

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Explanation;

If we get the factors of the first ratio, we will see that;

18: 6 and 3, and 18 and 1

3: 3 and 1

Hence, if we display the ratios in fractions;

18/3 = 6/1

And then we write them in factors, we will get;

3x6/3x1 = 6/1

Simplifying;

3/3 x 6/1 = 2/1 x 3/1 = 1/6

Therefore, 18:3 and 6:1 are equivalent ratios.

Learn more about ratio here:

brainly.com/question/186659

#SPJ6

9514 1404 393

Answer:

Step-by-step explanation:

1. The domain is the horizontal extent of the graph. The domain of the solution space extends to x=8 on the right, with x=8 not included. The appropriate description is ...

  (-∞, 8)

__

2. A suitable matrix calculator gives the solution as ...

  (2, 5, -2)

__

3. A suitable matrix calculator gives no solution. (The reduced form of the last equation is 0=1. No variable values will make this true.)

Answer:

These lines are perpendicular to each other

Step-by-step explanation:

SInce ne slope is the opposite of the reciprocal of the other

-1/5  opposite of reciprocal of 5

These are perpendicular lines

Answer:

D) [tex]x \leqslant - 3[/tex]

Explanation provided above.

The solution to the inequality -2x + 5 ≥ 3x + 20 is x ≤ -3.

Option D is the correct answer.

We have,

To solve the inequality -2x + 5 ≥ 3x + 20, we can follow these steps:

Subtract 3x from both sides to isolate the variable on one side:

-2x - 3x + 5 ≥ 3x - 3x + 20,

-5x + 5 ≥ 20.

Subtract 5 from both sides:

-5x + 5 - 5 ≥ 20 - 5,

-5x ≥ 15.

Divide both sides by -5.

Remember that when dividing by a negative number, the inequality direction flips:

(-5x) / (-5) ≤ 15 / (-5),

x ≤ -3.

Therefore,

The solution to the inequality -2x + 5 ≥ 3x + 20 is x ≤ -3.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ6

Answers Below

1) = 1/5

2) = 1/4

3) = 3/20

4) = 2/25

5) = 1/3

Please Brainly

Answer:

i)1/5

ii)1/2

iii)3/20

iv)1/3

Step-by-step explanation:

Just keep eliminating in all sums as we are multiplying and u will get the ans.

Pls mark me brainliest

Answer:

x = 0.71 and so on

Step-by-step explanation:

Answer:

i think its 45

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

I'm pretty sure but sorry if its incorrect.

Answer:

51⁰

Step-by-step explanation:

The angles are the same

Answer:

Answer:

which principle prevents a brach from abusing  its power

Step-by-step explanation:

Answer:

4 students

Step-by-step explanation:

Understanding stem-and-leaf plots

A stem and leaf plot is designed in a way to group the numbers by their values before the ones place;

i.e. 92, 100, 101, 103, 113

Charted as

9 | 2

10 | 0 1 3

11 | 3

So, with that in mind we know 78 is grouped under the 7 | # # #

stem and has the leaf of 8 which is displayed by # | # # # 8

SO,

TO SOLVE:

Count the 8's under the 7 | # # # # group

We can see that there are 4 8's under that section, and assuming that each number is representative of one students score, we can conclude that 4 students scored 78

Hope this helps,

J.M."Jamon"

     Pennsylvania State University

     Full-Time B.S.CE. Undergrad

Answer:

4 Students

Step-by-step explanation:

If you look at the four and cout how many 8 are across you will get 4!

Answer:

27

Step-by-step explanation:

5(3)=15 +12 = 27

Answer:

i think it would be 4 i'm not sure tell me if i'm wrong.

Answer:

a

Step-by-step explanation:

Answer:

16.5 hours

Step-by-step explanation:

Here is the explanation. As Hye drinks 4/3 gallons of water in 11/2 hours, we have a constant rate. There are 12 thirds in 4, so we are trying to find how long it takes Hye to drink 12/3 gallon. In this case, 4/3x3=12/3, so we multiply 11/2 by 3 as well, which gives us 33/2 hours. 33/2 in decimal form is 16.5 hours. Hope it helps!

Answer:

33/2 hours option 2

Step-by-step explanation:

Got it correct on edge :) hope it helps

Answer:

W=1.5x+10

Step-by-step explanation:

1.5x is the rate of weight per month

10 is the constant (how much he/she weighed at birth)

Answer:

8X +8

Step-by-step explanation:

The undefined term should be considered when A line extends both directs between point X and point Y.

In terms of geometry, the undefined term should represent the main object where the rest of the objects should be considered as the line, point, and the plane.

So when there is the line extension that lies between point x and point Y so it should be an undefined term.

Learn more about line here: https://brainly.com/question/2037439

Answer:

Option D

Step-by-step explanation:

yes

Answer: The answer is 6!

Step-by-step explanation:

Sorry. If I’m late! & Explanation? I just took the test Nd scored an 100%

Answer:

The answer is -6!

Step-by-step explanation:

I promise you, I just took the USATestprep test and this is the answer. Good luck with the rest of the test!

Answer:

The slope is m, and the y-intercept is b.

Step-by-step explanation:

What ever is attached to the x is the slope. The y-intercept is the b because it has a 0 on the x axis and a number on the y axis.

Step-by-step explanation: the answer is x = 1/2

The value of x is 27 units.

It is required to find the value of x.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given:

If m∠1 equals (4x + 2) and m∠3 equals (5x − 25),

According to given question we have,

m∠1 =m∠3

(4x + 2)=(5x − 25)

compare the like terms and simplify we get,

2+25=5x-4x

27=x

Therefore, the value of x is 27 units.

Learn more about angle here:

https://brainly.com/question/13954458

#SPJ2

Answer:

18 T-shirts

Step-by-step explanation:

1gram = 1000milligrams

1gram × 156000milligrams ÷ 1000milligrams

The milligrams unit cancel out each other thus grams remains as the main unit.

=156grams

1 T-shirt = 156grams

1 T-shirt × 2808grams ÷156grams

The grams unit cancel out each other thus T-shirt remains as the main unit.

=18 T-shirts

Answer:

18

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

The answer is -12 because -4x6=-24, and then you add 12 to the result. -24+12=-12, so there's your answer.

Answer:

Hi so you have the answer          

Say you have 1.23 if the last digit is under 5 it would be 1.20                

Now say you have 3.47 if the last digit is above 5 it would be 3.50    

If it is something like 4.45  the 5 is the last digit so it would be 4.50

Step-by-step explanation:

um hope this helped :)

Answer:

15 and 1/15

Step-by-step explanation:

Given

Time (t) = 30 minutes

distance (d) = 2 miles

To determine the first constant of proportionality

Let time be directly proportional to distance.

t = kd

Where k is the constant of proportionality

Make k the subject

k = t/d

Substitute values for t and d

k = 30/2

k = 15

To determine the second,

Let distance be directly proportional to time.

d = kt

Make k the subject

k = d/t

Substitute values for d and t

k = 2/30

k = 1/15

Hence, the constant of proportionality are

15 and 1/15

Answer:

7) $57.2 (Multiply 65 by 0.12. You get $7.8. Finally, subtract 7.8 from 65.)

8) $20 (Multiply 29.99 by 0.3333. Subtract 9.99 from 29)

9) $35.7 (Do the same steps as above)

10) $276.675 (Do the same steps as above)

11) The decimal form of 57% is 0.57

12) cost= c×0.57

13) $70.65

14) $25.65 was added

Answer:

A watermelon my woman

Step-by-step explanation:

Answer:

How do u know wether two quantities x and y are proportional?

Step-by-step explanation:

Every sum x + y is the same for related pairs of x and y.

I hope that helped, let me know if you need help with anything else.

Answer:

Step-by-step explanation:

do you mean what is c?

Answer:

[tex]f(d)=\left\{ \begin{matrix} 11 & \text{for} & 0< d\leq 4 \\-3+3.5d & \text{for}& d > 4 \end[/tex]

Step-by-step explanation:

Cost of first 4 kilometers ride = 11 pesos.

So, for the first 4 km, the fair is constant i.e.

for 1 km the fare is 11 pesos,

for 2 km the fair is also 11 pesos,

similarly, for 3 km of 4 km, the fare is 11 pesos.

Hence, for the distance [tex]0\geq d\geq 4[/tex], the fair function,

[tex]f(d)=11\cdots(i)[/tex]

After 4 km, there is an increment of $ 3.50 for each kilometer.

So, the fare function up to 5 kilometers,

[tex]f(d)=11+3.5=14.5[/tex]

So, the fare function up to 6 kilometers, i.e for the distance [tex]5<d\leq6[/tex],

[tex]f(d)=11+2\times3.5=18[/tex]

This can be arranged as the fare function up to 6 km,

[tex]f(d)=11+(6-4)\times3.5=18[/tex]

Similarly, the fare function up to [tex]d[/tex] kilometer [tex](n>4)[/tex],

[tex]f(d)=11+(d-4)\times3.5[/tex]

[tex]\Rightarrrow f(d)=-3+3.5d\cdots(ii)[/tex]

Hence, from equations (i) and (ii),

[tex]f(d)=\left\{ \begin{matrix} 11 & \text{for}\; 0< d \leq 4 \\-3+3.5d & \text{for}\; d > 4 \end[/tex]

Answer:

Step-by-step explanation:

Each triangle = - x

There are 4 of them

They equal -4x

The circles all = 1

There are 3 circles on the left

They equal 3*1 = 3

There are eleven circles on the right.

-4x + 3 = 11             Subtract 3

-4x/-4 = 8               Divide by - 4

x = 8/-4

x = -2