Last month you spent ​$40 on clothing. This month you spent ​120% of what you spent last month. Set up a proportion to model this situation. How much did you spend this​ month?

Answers

Answer 1

Answer:

$48

Step-by-step explanation:

Given that:

Money spent on clothing last month = $40

Money spent this month is 120% of the spending of the last month.

To find:

A proportion to model this situation.

And the spending done this month?

Solution:

Let us have a look at 120% first.

[tex]120\%= \dfrac{120}{100} = \dfrac{6}{5}[/tex]

[tex]\frac{6}{5}[/tex] of [tex]x[/tex] can be found by comparing [tex]x[/tex] with 5, then we have to find the equivalent of 6.

Here, [tex]x[/tex] is 40.

5 parts are equivalent to 40

1 part is equivalent to [tex]\frac{40}{5} = 8[/tex]

6 parts are equivalent to [tex]8\times 6 = 48[/tex]

OR

simply:

[tex]40 \times \dfrac{120}{100} = 48[/tex]


Related Questions

Adam is going to make concerte He Is going to use 180kg of cement 375kg of sand 1090kg of stone Cement, sand, stones are sold in bags: 1 bag cement is 25kg 1 bag sand is 22.5kg 1 bag stone is 50kg Adam already has 8 bags of cement 19 bags of sand 29 bags of stones Work out what bags he needs to buy to make the concrete. Working must be shown

Answers

Answer:

The answer is "90 kg stone ".

Step-by-step explanation:

Adam's got:

[tex]\to 8 \times 25 = 200 \\\\\to 19 \times 22.5 = 427.5 \\\\\to 20 \times 50 = 1000 \\\\[/tex]

He's got enough sand and cement  

The stone value:

[tex]\to 1090-1000 = 90 \ kg[/tex]  

He has 2 stone bags.

hi, pls help me! :((​

Answers

Answer:

the y-intercept is (0,4) because it's the point that's sitting on the y-axis (the one going up and down)

Step-by-step explanation:

3x-8<-2x+22

Show it with steps please.

Answers

Answer:

x < 6

Step-by-step explanation:

1. 3x+2x = 5x

2. 5x - 8 < 22

3. 22+ 8 =30

4. 5x < 30

5. 30/5 = 6

6. x < 6

Step-by-step explanation:

3x-8<-2x+22

3x+2x< 22+8

5x<30

Divide both sides by 5

x=30

Convert the decimal 0.75 to a percent.

Answers

Answer:

75%

Step-by-step explanation:

Madelyn buys 3 bottles of orange juice at the corner store for a total cost of $2.31. If each bottle costs the same amount, how much is each bottle of juice?

Answers

Answer:

cost of each bottle of juice is $0.77

Step-by-step explanation:

Let the cost of 1 bottle be $x

multiplying both side by 3

then cost of 3 bottle will be 3*$x = $3x

given that

total cost of 3 bottles =  $2.31

thus

3x = 2.31

dividing both side by 3

x = 2.31/3 = 0.77

Thus, cost of each bottle of juice is $0.77

Answer:

$0.77 for each bottle of juice

Step-by-step explanation:

Madelyn buys 3 bottles of orange juice at the corner store for a total cost of $2.31.

So,

2.31/3 = 0.77

Thus, $0.77 for each bottle of juice

-TheUnknownScientist

Anybody know the answer

Answers

Answer:

8

Step-by-step explanation:

pytherogream triple or smth

17,15,8

225+64=289

A band is paid $50 for performing at a restaurant. For each customer that eats at the restaurant, the band is paid $2. If the band made $142 in one night, how many customers ate at the
restaurant?

Answers

Answer:

There were 46 customers who ate at the restaurant.

Step-by-step explanation:

First we need to subtract the total by how much the ban was paid to perform.

$142 - $50 = $92

$92 ÷ 46 = $2

What is the range of the function graphed below? ​

Answers

Answer:

__________-3<Y<4______________

ABCD is a trapezium with AB parallel to DC.
DC= 15 cm and AB= x cm
The perpendicular distance between AB and DC is 3 cm less than the length of AB. The area of ABCD is 75 cm square.
i) show that x2 + 12x - 195= 0

Answers

Answer:

Step-by-step explanation:a or b ?

Help, I have to turn this in tomorrow I need to know if this is right.

Answers

Answer:

yes, that's correct!

Step-by-step explanation:

Need help thank you very

Answers

Answer:

a)4/3

b)9/20 or 0.45

c)96

Step-by-step explanation:

a) j=3

72=20j+9p

72=20(3)+9p

72=60+9p

-9p=60-72

-9p=-12

p=-12/-9

p=4/3

b) m =1/2

20k-5=8m

20k-5=8(1/2)

20k-5=4

20k=4+5

20k=9

k=9/20 or 0.45

c) k=18

p+1/3k-20=82

p+1/3(18)-20=82

p+6-20=82

p=82+20-6

p=96

idk if this is right but I tried my best heh-

ANSWER:
a. p=4/3
b. k=9/20
c. p=96

Describe how you can tell whether a line’s slope is greater than 1, equal to 1, or less than 1

Answers

If the slope is greater than one, it would have a positive slope and it is moving vertically up the y axis.

If the slope is equal to one, Guessing that the y axis is counting by 1 you could tell the slope is 1 by looking to see if first, it is moving positively up the y axis or look at what points it is intersecting. If it's counting every 1 point (For example) If the start of the slope began on the origin (0, 0) than it should count (0, 0) - (1, 1) - (2, 2) - (3, 3) etc..

Now the more "confusing" one. if the slope is less than one it can be a flat line on the graph. Not negative nor positive, Its neutral. You can also tell if its positive if it is moving down the graph, Negatively.  or if it is moving into a different quadrant from. (0, 0)

The different fonts are the different answers, i hope this helped.

Simplify: 5 + 2(x + 3) - 8 + 4x +

Answers

Answer:

6x+3

Step-by-step explanation:

Use the distributive property to multiply (2 w + 7)(2 w - 7).​

Answers

Answer:

[tex]4w^{2} -49[/tex]

Step-by-step explanation:

Expand  (2w+7)(2w−7)

2w(2w-7)+7(2w-7)

2w(2w)+2w*-7+7(2w-7)

2w(2w)+2w*-7+7(2w)+7*-7

The graph shows the number of Calories burned running. How many Calories do you burn per​ minute?

Answers

11.2 you could do 112/10 or 22.4/2.

ted's company has recieved an order to print 10^6 pages. ted's company has 100 machines , each of which can print 10^4 pages a day. ted's company can print the 10^6 pages in blank.
in exponent form, this number of days can be represented as blank

Answers

Answer:

10^0=1 day

Step-by-step explanation:

10^4 x 100=10^4 x 10²

     =10^(4+2)

     =10^6

Then:

10^6/10^6=10^(6-6)=10^0=1 day

Answer:

1 day, 10^0

Step-by-step explanation:

PLATO correct

NEED HELP ASAP!!!! 2 QUESTIONS!!!!OFFERING BRAINIEST!!!

Answers

Answer:

(0, 8) on the first question and 4 on the second question

I WILL GIVE BRAINLIEST !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
PLEASE

Answers

all real numbers so the answer is D

Answer:

D. All real numbers

Find the equation of the line.
Use exact numbers.
y =
x+

Answers

Answer: y= 2/3x+4

Step-by-step explanation:

Number Eight: Simplify

Answers

Answer

dookie but

Step-by-step explanation:

dookie in my dookie x 3 =  dookie

Two containers are mathematically similar. Their volumes are 54cm³ and 128cm³. The height of the smaller container is 4.5cm. Calculate the height of the larger container.

Answers

Answer:

the height of the larger container is 6 cm

Step-by-step explanation:

The computation of the height of the large container is shown below:

In the case when the factor of linear scale for two solid be k

So the factor of volume scale be k^3

Now the volume scale factor is

= 128 ÷ 54

= 64 ÷ 27

= (4 ÷ 3)^3

Now the height of the large container is

= 4.5 cm × 4 ÷ 3

= 6 cm

hence, the height of the larger container is 6 cm

Find the solution for the system of linear equations by substitution:
y = x
y = 2x − 4

Answers

Answer:

Asi takhle

..........

5x³y+10xy²


I will mark brainlest ​

Answers

5x³y+10xy²

we can factorise

5xy(x^2+2y)

5xy(x²+2y) ⬅️ we got this by taking common

PLS HELP ASAP

Choose the (factored) form of the given equation.



6 x2 + 2 x - 8 = 0


1. (6 x - 8)( x + 1) = 0

2. (6 x + 8)( x - 1) = 0

3. (6 x + 1)( x - 8) = 0

Answers

Answer:

1,=(6x-8)(x+1)

=6x²+6x-8x-8

=6x²-2x-8

2,=(6x+8)(x-1)

=6x²-6x+8x-8

=6x²+2x-8

3,=(6x+1)(x-8)

=6x²-42x+x-8

=6x²-41x-8

Answer:

second option

Step-by-step explanation:

Expand the factors using FOIL

1

(6x - 8)(x + 1) = 0

6x² - 2x - 8 = 0 ≠ 6x² + 2x - 8

2

(6x + 8)(x - 1) = 0

6x² + 2x - 8 = 0 ← True

3

(6x + 1)(x - 8)

= 6x² - 47x - 8 = 0 ≠ 6x² + 2x - 8 = 0

Thus the factored form is

6x² + 2x - 8 = 0

(6x + 8)(x - 1) = 0 → second option

A swimmer dove below the surface of the ocean. After 2 minutes, she was 12 meters below the surface. At what rate was she diving? Which equation matches?

1. -12+x=2
2. 2+x=(-12)
3. -2x=(-12)
4. 2x=(-12)

Answers

Answer:

4. 2x=(-12)

Step-by-step explanation:

x is the number of meters below the surface per minute

2x is 2 minutes

-12 is 12 meters below the surface

HELP ME PLEASE I HAVE BEEN ON THIS QUESTION FOR 5 YEARS NOW WHATS THE ANSWER???????

2+1=

(if y’all dont get the joke-)

Answers

The answer is number B

Simone has a collection of coins consisting of 1 quarter, 1 nickel and 1 penny. Using at least two coins from the collection, how many different sums of money are possible

Answers

Answer:

4 different sums

Step-by-step explanation:

There are two ways to form a sum: either by leaving out one coin or by not leaving out any. There are three options if we want to leave out one coin, and obviously only one way to not leave out any, so that gives us our answer of [tex]$3+1=\boxed{4}$[/tex] .

Hope this helped! :)

The difference sum of money that should be possible is 4.

The following information should be considered:

There are two ways to form a sum i.e. either by leaving out one coin or by not leaving out any. There are three options if we want to leave out one coin, and obviously only one way to not leave out any, so that gives us i.e.

= 3 + 1

= 4

Learn more: brainly.com/question/16911495

Help Please! Im taking a math exam today!

Answers

Answer:

12²

Step-by-step explanation:

12 is the base

2 is the exponent

12 squared or 12 times 12 equals 144

Answer:

144 can be divided by 12

so 12 *12 =144

therefore 144 can be written as [tex]12^{2}[/tex]

Step-by-step explanation:

I
3.) Write the equation of the line that passes through (0,3) and (1.-1) in standard form.

Answers

Given:

The points are (0,3) and (1,-1).

To find:

The equation of line passes through these points.

Solution:

Standard form of a line is

[tex]Ax+By=C[/tex]

We know that, if a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of the line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The line passes through (0,3) and (1,-1), so the equation of the line is

[tex]y-3=\dfrac{-1-3}{1-0}(x-0)[/tex]

[tex]y-3=\dfrac{-4}{1}(x)[/tex]

[tex]y-3=-4x[/tex]

Adding 4x and 3 on both sides, we get

[tex]4x+y=3[/tex]

Therefore, the standard form of the line is [tex]4x+y=3[/tex].

Organize the lengths below from shortest to longest.

28 dm
629,000 mm
1.2 km
30,277 cm

Answers

Answer:

30,277cm, 629,000mm, 28dm, 1.2km

Step-by-step explanation:

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