There are 15 plates in the kitchen cabinet. The diameter of each plate is either 9 inches or 12 inches. The diameter of all 15 plates combined is 150 inches.



Which system of equations can be used to find the number of 9-inch plates, x, and the number of 12-inch plates, y, that are in the cabinet?

Answers

Answer 1

Answer:

Step-by-step explanation:

The important thing to remember here is that the number of plates is a different equation from the one that uses the diameter of the plates. The number of plates will make up one equation; the diameter of the plates will make up the other equation. As far as the number of plates go, we have 15 total. Let's call the 9" plates x and the 12" plates y according to the instruction given. If we have a mixture of 9 and 12 inch plates and we have a total of 15 plates, the first equation regarding the number of plates is

x + y = 15

Now on to the diameters. The 9" plates are x's and the 12" plates are y's and the inches refer to the diameter, of which the total is 150". Therefore, the second equation regarding the diameter of the plates is

9x + 12y = 150

Those 2 equations make up the system. It doesn't say you have to solve it, but if you did, you would find that there are 10 9" plates and 5 12" plates in the cabinet.


Related Questions

Need urgent help please, honest answers will get brainliest

Answers

Answer:  Refer to the screenshot below

I've filled in the boxes with the proper answers

====================================================

Explanation for problem 1

In line 1, I used the distributive rule a*(b+c) = a*b+a*c. On the left side the 3(n+2) becomes 3n+6. On the right side, the 9(6-n) becomes 54-9n

On the next line, I added 9n to both sides. The 3n on the left side updates to 3n+9n = 12n.

For the third line, I subtracted 6 from both sides. Then the last line involves dividing both sides by 12 to fully isolate n. To confirm the solution n = 4, plug it back into the original equation. You should get the same thing on both sides after simplifying.

------------------------------------

Explanation for problem 2

The steps here are similar as problem 1, but this time we're involving fractions. Unfortunately, these steps don't involve clearing out the fractions which is often a handy trick to use.

We use the distributive rule on line 1

For line 2, we subtract 2m/9 from both sides. Think of 2m/3 as 6m/9 to help combine the fractions. The denominators must be the same for you to be able to add or subtract fractions.

For line 3, we subtract 4/3 from both sides. Think of 4/3 as 12/9.

The last step is to multiply both sides by 9/4, which is the reciprocal of 4/9. Your teacher made a typo on the right hand side of the last line. It should read [tex]\frac{4}{9}m[/tex] and not [tex]\frac{2}{9}m[/tex]. Refer to the previous line.

PLZZZ HELP ASAP TYSM DUE TMR

Answers

Answer:

b=27,-13

▩▩▩▩▩▩▩▩

Steps:

|b-7|=20

Activate the law of absolute values

b - 7 = -20 or b-7=20

b = 27 or b = -13

Answer:

[tex]b = 27[/tex]

Step-by-step explanation:

[tex]20 = |b - 7| [/tex]

[tex]b - 7 = 20[/tex]

[tex]b = 20 + 7[/tex]

[tex]b = 27[/tex]

Hope it is helpful....

In the design shown below, four semicircles are attached to a square whose area is 36 square centimeters. Which of the following is closest to the total area of the shaded semicircles, measured in square centimeters?

Answers

Answer:

56.549 cm   (choice 1)

Step-by-step explanation:

If the area of the square if 36 cm, then each side is 6 cm.

That means the diameter for each semi circle is also 6 cm.

Formula for a semi circle is 1/2(πr²)

We need the radius, which is half the diameter. So the radius is 6÷2= 3

Now plug in to the formula.

A= 1/2(π3²)

A= 14.137 (nearest hundredths)

Now multiply that by 4, because there are 4 semi circles

4(14.137)= 56.549 cm (nearest hundredths)

Which scatterplot shows a negative linear association between the variables?

Answers

The scatterplot that shows a negative linear association between the variables is B

The measure of an angle is 2 times the measure of its supplement. Tina writes an equation and finds the correct measure of each angle. Which shows the equation Tina could have written and the angle measures she could have found? A 2x + x = 90 ; 60°and 30° b (x+2) +x = 90; 44° and 46° c (x+2) + x = 180; 89° and 91° d 2x + x = 180: 60°and 120°

Answers

Answer: d.

2x + x = 180: 60°and 120°

Step-by-step explanation:

Let x= one of the supplements.  (smaller)

As per given , measure of second angle = 2x

We know that,

The sum of two supplements = 180 degrees

Then,

smaller angle + larger angle =180°

i.e. x+2x = 180°

3x= 180°

x=60°

then, 2x = 2 (60°) = 120°

hence, the correct option is d.

2x + x = 180: 60°and 120°

whats this picture's eqeuation

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

The slope can be found by taking two points, for instance: (0,3) and (3,9) which lie on the graph.  Find the slope between the two, remember rise over run:

(9-3)/(3-0) = 6/3 = 2

The y-intercept is (0,3)

So b in the y= mx + b equation is 3.

m is the slope, so it is 2.

y = 2x + 3


Evelyn has dance class every Saturday. It lasts 1 hour and 40 minutes and is over at 12:45 P.M.

At what time does Evelyn's dance class begin?

Evelyn's dance class begins at
:

?

Answers

Answer:

Evelyn's dance class on Saturday starts at 11:05 A.M.

Step-by-step explanation:

I know this because if her class takes an hour and 40 minutes you would subtract the hour and 40 minutes from 12:45 so you could do 12 - 1 which equals 11. Then you would do 45 - 40 which equals 5. And last you would put the new times together so it would be, 11:05. Her dance class starts at 11:05 A.M.

The owner of a candle store studied the day's purchases. The 5 candles
purchased had prices of:
$6.00
$3.00
$4,00 $4.00 $2.00
What is the mode?

Answers

Answer:

The mode is the number that appears the most in a data set, therefore the mode is $4 since it is the only number appearing twice

Answer:

4

Step-by-step explanation:

whats the average rate of change of h over the interval 5 ≤ t ≤ 9?

Answers

Given:

The graph of a function.

To find:

The average rate of change of h over the interval [tex]5\leq t\leq 9[/tex].

Solution:

The average rate of change of a function f(x) over the interval [a,b] is:

[tex]m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

So, the average rate of change of h over the interval [tex]5\leq t\leq 9[/tex] is:

[tex]m=\dfrac{h(9)-h(5)}{9-5}[/tex]

From the given graph it is clear that [tex]h(9)=7,h(5)=3[/tex]. Substituting these values, we get

[tex]m=\dfrac{7-3}{9-5}[/tex]

[tex]m=\dfrac{4}{4}[/tex]

[tex]m=1[/tex]

Therefore, the average rate of change of h over the interval [tex]5\leq t\leq 9[/tex] is 1.


Simplify by combining like terms: 3x + 2 + x + 7
A. 5x + 7
B. 3x + 9
C. 4x + 9
D. 6x + 7

Answers

4x +9

3x and x are like terms
And 2 and 7 are like terms

Hope this helps :D

HELP PLEASE THESE ARE DUE TODAY

Answers

I would say that the median is the best measure for the center as there are two major outliers (16 and 18)

409. Свеже печурке садрже 81% воде, а
суве печурке 5% воде. Колико свежих
печурака је потребно да би се добило
5 kg сувих?
409. Fresh mushrooms contain 81% water, a
dried mushrooms 5% water. How fresh
mushrooms are needed to get
5 kg dry?

Answers

The answer is 293393. With sons s

Uhm can you answer it and tell me how you did it? I'm like dead confused

Answers

Answer:

Hello! answer:

rectangle a: 8

rectangle b: 24

figure: 32

Step-by-step explanation:

Hello I'll show a demonstration, with a picture and explanation. Ok so as shown in the picture i circled the base and height those are basically what you have to multiply to find the area.

we are given the height for rectangle a but not the base so we have to find it we know the base at the bottom for the whole thing is 5 and the base for B is. 3 so we can just subtract 3 from 5 to find A's base so... 5 - 3 = 2

now we have everything we need to find the area so....

4 × 2 = 8 so rectangle a is 8

3 × 8 = 24 so rectangle b is 24

then for the whole figure we can just add those two up for the entire area so...

24 + 8 = 32 therefore the figures area is 32 Hope that helps!


1, 9x=90
2,3x=36
find the value of x​

Answers

Answer:

1. x = 10

2. x = 9

Step-by-step explanation:

131231231212312312312312312312312313131231231231231312312312

123123211231312132

Anyone wanna help me

Answers

Answer:

w^2 -18w + 81

Step-by-step explanation:

Simply, what we have to do here is to divide the coefficient of w by 2, then square it

we have this as -18/2 = -9

Squaring is -9^2 = 81

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer: 120 cubed inches

Step-by-step explanation:

First, multiply them all together. 6x10x2 = 120 cubed inches

PLEASE HELP I DONT KNOW HOW TO DO IT PLEASEEEE

Answers

Answer:

76

Step-by-step explanation:

so the sequence(pattern) is it increases by 5

there are 2 ways to solve this promblem

one count on your toes and hands by 5 starting at one until u get to 10 fingers and 5 toes. soon the promblems will get harder and you cant do that

other way multiply 5 by 15 and add it to 1

t( 15 ) = t( 1 ) + [ 14 × ( Constant value ) ]

________________________________

t( 1 ) = 1

&

Constant value = t( 2 ) - t( 1 ) = t( 3 ) - t( 2 )

Constant value = 6 - 1

Constant value = 5

________________________________

Thus :

t ( 15 ) = 1 + [ 14 × 5 ]

t( 15 ) = 1 + 70

t( 15 ) = 71

Perform the indicated operation.
f(n) = 4n - 5, g(n) = n^2 - 5
Find: (f - g) (n)

Answers

Hi there!

[tex]\large\boxed{-n^2 + 4n}[/tex]

Begin by evaluating f - g:

4n - 5 - (n² - 5)

Simplify:

4n - 5 - n² + 5  = 4n - n²

Or it can be written as -n² + 4n to match the first answer choice.

HELP HELPMARKING THE PERSON WHO ANSWERS THIS FIRST AS BRAINLIEST ;

1) simplify -4/5 x 3/7 x 15/16 x (-14/9)
2) value of (2/5)x(-3/7) - (-3/7)x(3/5) = ?

Answers

Answer:

5/8

that's mah answer tht is correct

An umbrella manufacturer has 1584 umbrellas to pack for shipment one case will hold 38 umbrellas how many cases will the company need to ship all of their umbrellas

Answers

Answer: 42

Step-by-step explanation:

Given

An Umbrella manufacturer has [tex]1584\ \text{Umbrellas}[/tex]

One case will hold [tex]38[/tex] Umbrellas

Number of cases required to hold all the Umbrellas are

[tex]\Rightarrow n=\dfrac{1584}{38}\\\\\Rightarrow n=41.68\approx 42[/tex]

Thus, 42 packs are required to hold all the Umbrellas

4. Find the roots of the equation 30x – 45 = 5x? by factoring.

Answers

Answer:

[tex]x = 1\frac{4}{5}[/tex]

Step-by-step explanation:

Factor and set each factor equal to zero.

Answer:

Step-by-step explanation:

30x-45=5x

30x-5x=45

25x=45

x=45/25

x=9/5

please help me , please

Answers

Answer:

2/3

Step-by-step explanation:

Write a linear equation that intersects ytte points. Then willes second linear equation that intersecta y at just one point, and ther equation that does not intersecty Expten how you found the linear equations 40

Answers

Answer:

[tex](a)\ y = 2x +8[/tex]

[tex](b)\ y = 0[/tex]

[tex](c)\ y = -5[/tex]

Step-by-step explanation:

Given

[tex]y = x^2[/tex]

First, graph [tex]y = x^2[/tex] (See attachment)

We are not limited to any particular linear equation; as long as we meet the required condition

Solving (a): Equation of a line that intersects [tex]y = x^2[/tex] at two points

Select any two points on opposite sides of the curve

The selected points are:

[tex](x_1,y_1) = (-2,4)[/tex]

[tex](x_2,y_2) = (4,16)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{16 - 4}{4 - -2}[/tex]

[tex]m = \frac{12}{6}[/tex]

[tex]m = 2[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 2(x - -2) + 4[/tex]

[tex]y = 2(x +2) + 4[/tex]

Open bracket

[tex]y = 2x +4 + 4[/tex]

[tex]y = 2x +8[/tex]

Solving (b): Equation of a line that intersects [tex]y = x^2[/tex] at one point

A good illustration of this is x-axis

Because it intersects with the line at just one point, which is origin (0,0).

The equation of line at this point is:

[tex]y = 0[/tex]

Solving (c): Equation of a line that does not intersect [tex]y = x^2[/tex]

Here, we make use of any horizontal line below the x-axis

Select any two horizontal points below the x-axis

[tex](x_1,y_1) = (-5,-5)[/tex]

[tex](x_2,y_2) = (5,-5)[/tex]

Calculate slope

[tex]m = \frac{-5--5}{5--5}[/tex]

[tex]m = \frac{0}{10}[/tex]

[tex]m = 0[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 0(x - -5) + (-5)[/tex]

[tex]y = 0-5[/tex]

[tex]y = -5[/tex]

Estimate the area of this figure below

Answers

Answer:

its 6 square units

Step-by-step explanation:

count how many boxes the that contain blue and devide by 2

Answer:

6

Step-by-step explanation:

There are 3 parts to each side. All three of them are the same so we only have to find the area of one different parts

Area of One Side

Triangle

The side of a square is 1 square unit.

each leg of the triangle is 1 unit

The area of 1 triangle = 1/2 * 1 * 1 = 1/2

Area of 1 side

There are 3 equal parts (3 triangles) that make up a side.

Area of the three triangles = 3 * 1/2 = 3/2 = 1.5

Area of all 4 sides

4 * 1.5 = 6

The area of the blue colored figure is 6 units.

Simplify the expression. x4y−4z−2x2y−2z4 y2x2z6 the fraction with numerator y squared and denominator x squared z to the 6th power x2y2z6 the fraction with numerator x squared and denominator y squared z to the 6th power x2y2z6 the fraction with numerator x squared y squared and denominator z to the 6th power y2z6x2

Answers

Given:

Consider the given expression is:

[tex]\dfrac{x^4y^{-4}z^{-2}}{x^2y^{-2}z^4}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]\dfrac{x^4y^{-4}z^{-2}}{x^2y^{-2}z^4}[/tex]

By using the quotient property of exponents, we get

[tex]=x^{4-2}y^{-4-(-2)}z^{-2-4}[/tex]              [tex]\left[\because \dfrac{a^m}{a^n}=a^{m-n}\right][/tex]

[tex]=x^{2}y^{-4+2}z^{-6}[/tex]

[tex]=x^{2}y^{-2}z^{-6}[/tex]

By using negative exponent property, we get

[tex]=\dfrac{x^{2}}{y^{2}z^{6}}[/tex]           [tex]\left[\because a^{-n}=\dfrac{1}{a^n}\right][/tex]

The simplified form of the given expression is [tex]\dfrac{x^{2}}{y^{2}z^{6}}[/tex].

Therefore, the correct option is B.

Ali bought 20 dozen oranges 10% of them were rotten. How many oranges were good ?​

Answers

Answer:

Step-by-step explanation:

rotten oranges=10/100*20

200/100

2 dozen

good oranges=total dozen-rotten oranges

20-2

18 d0zen were good oranges.

PLEASE PLEASE HELP I NEED TO ACE THIS

angle c = ___ degrees

Answers

Angle D = ABC arc / 2

x + 100 = ABC arc / 2

ABC arc = 2 × ( x + 100 )

ABC arc = 2x + 200 ( ♡ )

_________________________________

Angle B = ADC arc / 2

3x = ADC arc / 2

ADC arc = 2 × 3x

ADC arc = 6x ( )

_________________________________

ABC arc + ADC arc = 360

( ) , ( ) :

( 2x + 200 ) + ( 6x ) = 360

8x + 200 = 360

8x = 360 - 200

8x = 160

x = 160/8

x = 20

____________________________

Thus :

Angle A = 5(20) - 3 = 97 degrees

Angle B = 3(20) = 60 degrees

Angle D = 20 + 100 = 120 degrees

____________________________

Sum of the interior angles of any four-sides figures are equal 360 degrees ,

Thus :

Angle A+Angle B+Angle C+Angle D = 360

97 + 60 + Angle C + 120 = 360

Angle C + 120 + 157 = 360

Angle C + 277 = 360

Angle C = 360 - 270 - 7

Angle C = 90 - 7

Angle C = 83 degrees

A company is expanding its building area from 12,000 square feet to 15,360 square feet. What is the percentage increase of the area of the building space?

Answers

28%

Explanation:
Use this formula:
New number - original number divided by original number x 100

In this case:
15,360 - 12,000 ÷ 12,000 x 100
= 28

Final answer: 28%

A brainliest would be nice!
-SpaceMarsh

Add at least 2 ways people in this job use phys Ed ( job is dancer btw)

Answers

Answer:

Flexibility: Stretching

Endurance: Being able to dance for periods of time

Hurry help meh pls real fast no links they are viruses or files help pls help

Answers

Answer:

For the triangle, its area is 32.1 inches.

For the trapezoid, its area is 170 feet.

Step-by-step explanation:

The formula for finding the area of a triangle is A = h * b/2, where h is for height and b is for base. There seems to be two measurements at the base of the triangle so what I did is I added together 3.5 and 7.2 and got 10.7. The slant measurement of the triangle isn't important in this formula so just pretend 5.5 in isn't there. Multiply 10.7 (base) to 6 (height) and you'll get 64.2. Now divide the product by 2 and you'll get 32.1 inches as the area of the triangle.

The formula for finding the area of a trapezoid is A = ((a + b)/2)h, where a is base A, b is base B, and h is the height. This formula looks a bit complicated but if you know a bit of PEMDAS, then you'll understand the formula. Again, there are two measurements at the base of the trapezoid but simply, I added them to get 24 and the slants don't make any use for this formula either. Add 10 (base A) and 24 (base B) to get 34. Now divide 34 by 2 and you'll get 17. Finally, multiply the product to 10 (height) and you'll get 170 feet as the area of the trapezoid.

If you don't know PEMDAS, just comment something related to "Can you explain what PEMDAS is?" or "What is PEMDAS?" and I will answer your question as quick as I possibly can. I hope this helps!

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