Hue is arranging chairs. She can form 6 rows of a given length with 1 chair left over, or 9 rows of that same length if she gets 11 more chairs. Complete the equation and solve it to find how many chairs are in that row length. In your equation, use the variable x to represent the number of chairs in each row.

Answers

Answer 1

Answer:

There are 7 chairs in each row length.

Step-by-step explanation:

Let number of chairs in 1 row be 'x'.

Let total number of chairs be 'y'.

Given:

Hue can form 6 rows of a given length with 3 chairs left over.

It means that Total number of chairs is equal to chairs in 1 rows multiplied by number of rows which is 6 plus number of chairs which is left which is 3.

Framing in equation form we get.

Also Given:

Hue can form 8 rows of that same length if she gets 11 more chairs.

It means that Total number of chairs is equal to chairs in 1 rows multiplied by number of rows which is 8 minus number of chairs which is required more which is 11.

Framing in equation form we get.

From equation 1 and equation 2 we can say that L.H.S is same.

So according to law of transitivity we get;

Combining like terms we get;

Using Subtraction and Addition property we get;

Now Using Division Property we will divide both side by 2.

Hence there are 7 chairs in each row length.


Related Questions

The first term of an arithmetic sequence is 10 and its
common difference is -3. What is the sum of the first
10 terms of this sequence?

Please hurry! ill give brainliest

Answers

Answer:

The sum of the first ten terms is -35.

Step-by-step explanation:

The first term of an arithmetic sequence is 10, and its common difference is -3.

We want to find the sum of the first 10 terms of this sequence.

Remember that the sum for an arithmetic sequence is given by:

[tex]\displaystyle S=\frac{k}{2}\left(a+x_k\right)[/tex]

Where k is the number of terms, a is the initial/first term, and x_k is the last term.

Since our initial term is 10, a = 10.

And since we want to find the sum of the first ten terms, k = 10.

So, we will need to find the last or tenth term. We can write an explicit formula. The standard explicit formula for an arithmetic sequence is:

[tex]x_n=a+d(n-1)[/tex]

Where a is the initial term and d is the common difference.

So, by substituting, we acquire:

[tex]x_n=10-3(n-1)[/tex]

Then the tenth or last term is:

[tex]x_{10}=10-3(10-1)=10-3(9)=10-27= -17[/tex]

Then the sum of the first ten terms will be:  

[tex]\displaystyle S_{10}=\frac{10}{2}(10+(-17))=5(-7)=-35[/tex]

Answer:

-35

Step-by-step explanation:

[tex]a_{1}[/tex] = 10+(-3)(0) = 10

[tex]a_{10}[/tex] = 10+(-3)(9) = -17

[tex]S_{10}[/tex] = 10[(10 -17)/2] = 10(-7/2) = -70/2

At Cheng's Bike Rentals, it costs $37 to rent a bike for 8 hours.
How many hours of bike use does a customer get per dollar?

Answers

Answer Correct me if I'm wrong but I believe it is 4 dollars and 62 cents.        (4.62$)

Step-by-step explanation:

4.26 dollars and cents because the person said it

please help me with my last answer im stuck ​

Answers

9514 1404 393

Answer:

  the correct choice (A) is marked

Step-by-step explanation:

The function g(x) is translated 3 right and 1 down from f(x).

The transformation ...

  g(x) = f(x -h) +k . . . . . . translates h right and k up

For your translation, you have (h, k) = (3, -1). Putting those into the transformation model above gives ...

  g(x) = (x -3)² -1 . . . . matches choice A

The perimeter of a rectangular garden is 44 meters. The length of the rectangle is 5 less than twice the width. Find the length and width of the rectangle.

please helppp

Answers

9514 1404 393

Answer:

width: 9 mlength: 13 m

Step-by-step explanation:

Let w represent the width. Then the length is 2w-5, and the perimeter is ...

  P = 2(L+W)

  44 = 2((2w-5) +w)

  44 = 6w -10

  54 = 6w

  9 = w

  2(9) -5 = 13 = length

The length of the rectangle is 13 meters; the width is 9 meters.

does anyone want to HELP me please

Answers

Answer:

x = 12

Step-by-step explanation:

We will be using pythagoras theorem.

Therefore, we will have: [tex]a^{2}[/tex] + [tex]x^{2}[/tex] = [tex]13^{2}[/tex]

Moreover, we have: [tex]a^{2}[/tex] = [tex]4^{2} + 3^{2}[/tex] => [tex]a^{2}[/tex] = 25

=> 25 + [tex]x^{2}[/tex] = 169

=> [tex]x^{2}[/tex] = 144 => x = [tex]\sqrt{144}[/tex] = 12

PLEASE HELP
Select all of the expressions that are less than 10 2/3.
A.
10 2/3 × 9/10
B.
1 × 10 2/3
C.
10 2/3 × 2 1/3
D.

1/8 × 10 2/3
E.
10 2/3 × 3/5

Answers

Answer:

A, D, E

Step-by-step explanation:

A)  32/3 x 9/10 = 96/10 = 9.6

D) 1/8 x 32/3 = 4/3 = 1.33

E) 2/3 x 3/5 = 2/5 = 0.4

Twenty more than four times a number is equal to the difference between −71 and three times the number. Find the number.

Answers

4x + 20 = - 71 - ( 3x )

4x + 20 = - 3x - 71

Subtract sides minus 20

4x + 20 - 20 = - 3x - 71 - 20

4x = - 3x - 91

Add sides 3x

4x + 3x = - 3x + 3x - 91

7x = - 91

Divide sides by 7

7x / 7 = - 91 / 7

Simplification

x = - 13

Thus the number is ( - 13 ) .


Commute times in the U.S. are heavily skewed to the right. We select a
Type numbers in the boxes.
random sample of 220 people from the 2000 U.S. Census who reported a non- 10 points
zero commute time.
In this sample the mean commute time is 28.3 minutes with a standard deviation of 19.2 minutes.
Can we conclude from this data that the mean commute time in the U.S. is less than half an hour?
Conduct a hypothesis test at the 5% level of significance.
What is the p-value for this hypothesis test?
Your answer should be rounded to 4 decimal places.

Answers

I have to do a little more than I thought

Help me please answer

Answers

Answer:

Volume of cone = 90 ft³

Step-by-step explanation:

diameter of cone = 6ft

radius of cone = 3ft

height = 10ft

Volume of cone = [tex]\frac{\pi r^2h}{3}[/tex]

V = (3 × 3 × 3 × 10)/3

V = 270/3

V = 90 ft³

y=((3x+1)³)-², find dy/dx​

Answers

Firstly simplify then differentiate

hello guys
can you tell me what does this ^ mean in math?​

Answers

Answer:

It means there is an exponent

Step-by-step explanation:

The Family Fine Arts Center charges $ 22 per adult and $ 14 per child under 12
years old for its performances. On a recent weekend evening when 551 people
paid admission, the total receipts were $ 9290. How many who paid were
children under 12 years old?
Let A = number of adult tickets, let C = number of child tickets
1. Using the variables A and C, write a system of linear equations that reflect the
above problem.
2. Solve the system of equations for both A and C.
3. How many tickets sold were for children under 12?

Answers

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bit.[tex]^{}[/tex]ly/3a8Nt8n

⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️HELP HELP HELP EXTRA POINTS AND BRAINLIEST! IMAGE ATTACHED! ANSWER ALL BOXES! PLEASE EXPLAIN!

Answers

Answer:

Step-by-step explanation:

graph_1 and graph_2 are for this task

graph_3 is for previous task.

write 6870628 and 18333206 to the nearest thousand​

Answers

The answers are:

6,871,000

and

18,333,000

Answer:

6871000

18333000

Step-by-step explanation:

all the numbers before thousands will be zeros and the number that decide whether thousands will be added one or remains the same is the number before the thousands which is hundreds, if it's 0-4 that means the thousands remain the same at it was before and all the numbers before it become zeros, but if it's 5-9 that means thousands will be added one and all the numbers before it become zeros.

so the answer is:

6871000

18333000

At home, Martin plays computer games every 5 days, reads every 2 days, plays soccer with his friends every 14 days, and bakes cookies every 6 days. If he did all four activities today, in how many days will he do all four activities again on the same day

Answers

Answer:

May be after 27 days.... Iam not sure

Determine the equation of a circle with center at (8, 10) and radius is 6​

Answers

Use the equation ( x - h ) ^ 2 + ( y - k ) ^2 = r ^2
Where (h,k) is the center and the r is the radius . So the equation is as follows
( x- 8 ) ^2 + ( y -10 ) ^ 2 = 6^2

Hope this helped

Find the area of each figure. Use 3.14 for pi.

Answers

Answer:

208m²

Step-by-step explanation:

Okay, so you can split this abomination into a rectangle, another rectangle, and a square, so we're going to start with the rectangle to the far left:

The formula for the area of a rectangle or square is length x width, so we just have to plug:

4 x 8 = 32

Now we do the next rectangle, but we have to figure out the length first, so:

4 + 4 = 8

Now we plug:

8 x 4 = 32 (I now realize that the rectangles are even and we could've just multiplied the first one by two, but it's always good to check)

Now we do the square:

12 x 12 = 144

Now we add it all together:

32 + 32 + 144 = 208

So the area of the figure is 208m²

if this is wrong, let me know so I can fix it

hope this helps:)

PLEASE HELP!!

Rita and her two children live in subsidized housing and pay monthly rent of $230. The cost of heating
is included in the rent. The electric bill averages $56 a month while the water and sewage bill averages
$35 for every 3 months of use. Telephone costs average $19.50 a month. Rita carries no renters
insurance on her personal property. What is Rita's total annual cost of renting?

Answers

Answer:

$3806

Step-by-step explanation:

  230.0

    56.0

+   19.50

  305.50

305.5x12=3666

35x4=140

3666+140=3806

There was a triangle ABC with sides 15, 20, and 10. One of the sides of a triangle, which is similiar to ABC is 60. What are the two other sides? Note: Give all possible answers

Answers

Answer:

The possible pairs of sides are 90 and 120, 30 and 45, and 80 and 40.

Step-by-step explanation:

We know that 60 is a multiple of 15, 20, and 30, so we multiply by each factor to find all possible pairs: 10x6=60, 20x6=120, and 15x6=90, that gives your first pair, 90 and 120.

We have now multiplied our first factor, 6. Now we need to multiply our second factor, 3: 20x3=60, 15x3=45, and 10x3=30. That gives your second pair, 30 and 45.

Finally, we need to multiply by our 3rd factor, 4: 15x4=60, 20x4=80, and 10x4=40. That gives you your final possible pair, 80 and 40.

I hope this helps :-)

pls help pls and i will mark u as brainliest plss​

Answers

Answer:

30 km

Step-by-step explanation:

150-120=30 km that means you subtract because it says "how far" which means subtract

64th term of arithmetic sequence 29,38,47

Answers

Answer:

596

Step-by-step explanation:

Each term of the arithmetic sequence is 9 greater than the previous term.

Since the first term is 29, then 29+9 = 38, the second term in the sequence.  Likewise, the third term, 47, is 9 greater than the previous term, 38.  47 is also 2(9) greater than the first term, 29.

Therefore, finding the 64th term in the sequence would be the same thing as adding 9 to the first term (29) a total of n-1, or 64-1 times. Instead of adding, one can simply multiply 29 by 63, since 64-1 = 63.

29 + 63(9)

= 29 + 567

= 596

So, the 64th term of the arithmetic sequence is 596.

FIND THE VOLUME OF THE CYLINDER TO THE NEAREST WHOLE NUMBER. USE 3.14 FOR PI. RADIUS 2 INCH height 4inch

Answers

Answer:

cylinder

Step-by-step explanation:

Answer:

Seeds- V= 50 in^3

Nuts- V= 170 in^3

Step-by-step explanation:my knowledge is by best support

plz answer this question and while answering the question plz DONT put links in

Answers

To find the volume of an object, we must multiply the length, width, and height. You could also find volume by multiplying the base and height because base = length * width.

If the base is 150 square feet, multiply that by the height, 5 feet.
150*5=750

Remember that when you give an answer for the volume of an object, you must label it as “cubic __” (in this case it’s feet, but in other problems it could be inches, meters, etc.).

Therefore, your answer is 750 cubic feet. :)

of the marbles in a bag 5 are red 4 are yellow and 4 are blue Sandra will randomly choose one marble from the bag fill in the blanks and parts A and B
A: the probability that Sandra will choose a Blue marble from the bag is ___ out of ____ or blank / blank

B: it is _____ that Sandra will choose a Blue marble from the bag.
***for part B: answer unlikely, impossible, certain,likely​

Answers

Answer:

A. 4/13

B. Likely.

What is the name for an angle pair that contains ∠a and ∠b?

Answers

Answer:

B. Same side interior angles

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

linear pair. <a + <b = 180

The cost of an item is $75. What will the total cost be with 9% tax?

Answers

Answer:

81.75

Step-by-step explanation:

75*1.09 = 81.75

Answer:$81.75

Step-by-step explanation:

9% of 75 is 6.15, add that to 75 and the answer is 81.75

Figure WXYZ is a rectangle. What are the
coordinates of point W?

Answers

Answer:

(2,9)

Step-by-step explanation:

Answer:

(2,9)

Step-by-step explanation:

because you move up by 6. which makes it (2,3)+6

Madison will use a 1/5 gallon pitcher to fill an empty 7/8 gallon jug for her lemonade stand. How much lemonade will she need to fill the jug?

1.Between 2 and 3
2.Between 3 and 4
3.Between 4 and 5
4.Between 5 and 6

Answers

When you divide 7/8 by 1/5, which is equal to 7/8 • 5/1 which you get 35/8 or 4 3/8, answer is C

In which interval is the median age?
Choose 1 answer:

Answers

Answer:

Its C i believe correct me if im wrong

Answer:

its 5-10

Step-by-step explanation:

did the quiz

Which expression is equivalent to square root a^7

Answers

Answer is d

Step-by-step explanation:

If you multiply a^6 and a it equals a^7

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