The volume of a rectangular prism can be computed using the formula v= Iwh what is the length of a prism that has a volume of 1334 cubic cm a width of 8 cm and height of 12 cm ?
A. 896 cm
b. 14 cm
c. 18 cm
d. 111cm

An equivalent ratio of 64:60 is 16:15.

To get an equivalent ratio, you are going to simplify it like you would a fraction. An equivalent ratio would be 32:30. Then, just keep dividing both sides by the same number until both sides can't be divided by the same number. i.e. 9:6 -> 3:2 Both sides were divided by three.

Let f(n) represent the number of bottles in the store on n-th week.

When n=0, f(n)=250.

Then  40% of the bottles were sold, this means that were sold 250·0.4=f(n)·0.4. The amount of bottles left is 250-250·0.4=f(n)-f(n)·0.4=f(n)·0.6.

If 48 new bottles arrived in shipments, then the amount of bottles became

f(n)·0.6+48=f(n+1).

Since n>0, then

f(n)=f(n-1)·0.6+48.

Answer: correct choice is A.

Option: A is the correct answer.

         A:    f(n) = f(n − 1) ⋅ 0.6 + 48, n > 0    

It is given that:

A store had 250 bottles of water.

Each week, 40% of the bottles were sold and 48 new bottles arrived in shipments.

This means that the number of bottles that will be present in the store after 40% of the bottles will be sold at a particular week= 100%-40%=60% plus 48 new arrival

This means that each time the number of bottles in the store will be 60% of the bottles that were sold previous week plus 48.

        Hence, if f(n-1) represent the number of bottle in the (n-1)th week then the number of bottles in the nth week will be represented by:

                     [tex]f(n)=60\%\ of\ f(n-1)+48\\\\i.e.\\\\f(n)=0.6\cdot f(n-1)+48[/tex]

Hello!

[tex]3(2- 0.9h)+ (-1.3h - 4)\\[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓

First you had to remove parenthesis.

[tex]3(2-0.9h)-1.3h-4[/tex]

Then you can expand.

[tex]3(2-0.9h):6-2.7h[/tex]

[tex]6-2.7h-1.3h-4[/tex]

Simplify it should be the correct answer.

[tex]6-2.7h-1.3h-4:-4h+2[/tex]

[tex]-4h+2[/tex]

Answer⇒⇒⇒⇒-4h+2

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

3(2 – 0.9h)+ (-1.3h - 4)

3x2=6

-0.9hx3=-2.7h

(-2.7h+-1.3h)= -4h

(2+-4)=2

anwser: 2+-4h

The better deal is the 21-ounce one because its unit rate equals less than the 17-ounce one

Break down the price per ounce.

[tex]\frac{4.89}{17} = 28[/tex] [28¢ per ounce]

[tex]\frac{5.69}{21} = 27[/tex] [27¢ per ounce]

The box of Cheerios is the better deal.

The formula for arc length is:

s= r∅

Given that ∅= 7π/4

and r= 5

Therefore, arc length s= 7π/4 *5 = 35π/4

Answer:  The required arc length will be 27.5 units.

Step-by-step explanation:  We are given to find the arc length with the following information :

[tex]\theta=\dfrac{7\pi}{4},~~~\textup{radius},~r=5.[/tex]

We know that the length of an arc with angle subtended at the center α and radius of the circle r units is given by

[tex]\ell=r\alpha.[/tex]

Therefore, the required arc length will be

[tex]\ell=r\theta=5\times\dfrac{7\pi}{4}=\dfrac{35}{4}\times \dfrac{22}{7}=\dfrac{5\times 11}{2}=\dfrac{55}{2}=27.5.[/tex]

Thus, the required arc length will be 27.5 units.

Answer:

[tex]B \neq 0[/tex]

Step-by-step explanation:

In the attachment!

he nbeeds to have atleast sold 3

If he had no money left over, the least number of brownies he had to have sold is 15 brownies. He would have made $4.20, and this would be enough to buy 7 packs of cards.

the answer is -16 sooooo brainliest plzz

$12 per ticket divide 48 and 4 then if u want multipy 4x12=48

We are required to find the cost of 5 movie tickets

The Cost of 5 movie tickets is $60

Given:

Cost of 4 movie tickets = $48

Cost of each movie tickets = Cost of 4 movie tickets ÷ 4

= $48 ÷ 4

= $12

So,

Cost of 5 movie tickets = Cost of each movie tickets × 5

= $12 × 5

= $60

Therefore, the Cost of 5 movie tickets is $60

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4x + 5y = 2(x + 3y)

4x + 5y = 2x + 6y   distributed 2 on the right side

2x + 5y = 6y           subtracted 2x from both sides

2x = y                      subtracted 5y from both sides

         if y = 2x

then 17(y) = 17(2x)

          17y = 34x

Answer: 34x

A monomial is a polynomial which has only one term. For example, the polynomial [tex]5x+2y^{2}[/tex], has two terms: [tex]5x[/tex] and [tex]2y^{2}[/tex]. The combination of these two terms would be classified as a binomial. However, each individual term is classified as a monomial.

Answer:

ΔSTR is similar to ΔRTQ

Step-by-step explanation:

Given QRS is a right angled triangle. we have to find the similarity statement ΔSTR ~ Δ__

Let ∠S=x

In ΔSTR, by angle sum property

∠S+∠STR+∠SRT=180°

⇒ ∠SRT=90°-x

In ΔSRQ, by angle sum property

∠S+∠R+∠Q=180°

⇒ ∠Q=90°-x

In ΔSTR and ΔRTQ

∠SRT=∠Q=90°-x     (proved above)

∠STR=∠RTQ           (each 90°)

RT=RT                      (common)

Hence, by AAS rule ΔSTR≅ΔRTQ

∴ ΔSTR is similar to ΔRTQ

Option 4 is correct.

Answer:

RTQ

Step-by-step explanation:

Let ∠S=a, In ΔSTR, using angle sum property, we have

∠S+∠STR+∠SRT=180°

⇒ ∠SRT=90°-a

Again In ΔSRQ, using angle sum property, we have

∠S+∠R+∠Q=180°

⇒ ∠Q=90°-a

Now, In ΔSTR and ΔRTQ

∠SRT=∠Q=90°-a    (proved above)

∠STR=∠RTQ              (each 90°)

 RT=RT                      (common)

Hence, by AAS rule,

ΔSTR≅ΔRTQ

Thus,  ΔSTR is similar to ΔRTQ

Option 4 is correct.

The father is 27 because when they said 3 TIMES OLDER THEN THE SON he was 9

The father is 24 years old and the son is 6 years old. You know this is right because it shows that the father 4 times older than the son

Answer:

length = 100 yd, width = 60 yd

Step-by-step explanation:

To solve this problem, you must set up an equation.

We know that he length (l ) is 40 yards greater than the width (w ). That means that the length is equal to the width + 40 yards, which can be written as l = w + 40. If the area of the field is 6000 square yards, that means the length times the width must be equal to 6000. Here is the equation that comes from it:

w * (w + 40) = 6000

You can simplify that even further:

w ^2 + 40w = 6000

Divide both sides by 40 to get rid of the coefficient:

w ^2 + w  = 150

Now subtract w from both sides, then take the square root of both sides:

w = sqrt(150-w)

You could keep simplifying this equation until you finally arrive at your answer:

w = 60.

This means that the length, which is 40 more than the width, is 100.

If you want to prove this answer, just multiply the width by the length, which is 60*100, which gives you 6000 square yards; just what you need!

The value of dimensions of the soccer field, in yards are,

⇒ w = 60, l = 40

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

A school is building a rectangular soccer field that has an area of 6000 square yards.

And, The soccer field must be 40 yards longer than its width.

Let width of soccer field = w

Hence, Its length = w + 40

So, We get;

w (w + 40) = 6000

w² + 40w - 6000 = 0

w² + 100w - 60w - 6000 = 0

w (w + 100) - 60 (w + 100) = 0

w = - 100

w = 60

Since, Dimension are always positive.

Hence, w = 60

So, The value of dimensions of the soccer field, in yards are,

⇒ w = 60

l = 60 + 40 = 100

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Answer:

a= 8

Step-by-step explanation:

-a is left at the left hand side then the positive 4 goes to the right hand side and becomes negative.

Hence

-a= -4-4

adding up the right hand side will result in negative 8(-8)

-a=-8

the negative sign will be canceled on both sides resulting in positive value

a=8

The diagonals of a rectangle are congruent. That means that their lengths are equal. One diagonal is AC, and the other diagonal is BD. AC must equal BD. We set their lengths equal and solve for x.

3(x - 2) = x + 18

Distribute the 3 on the left side.

3x - 6 = x + 18

Subtract x from both sides; add 6 to both sides.

2x = 24

Divide both sides by 2.

x = 12

Now that we know x = 12, we replace x with 12 in BD = x + 18 to find the length of BD.

BD = x + 18 = 12 + 18 = 30

Since the diagonals are congruent, the length of AC is also 30.

Answer:   AC = 30;  BD = 30

The length of the diagonals of the rectangle are AB = 30 and BD = 30

A 4-sided flat shape with straight sides where all interior angles are right angles (90°). Also, the opposite sides are parallel and of equal length.

Given that, ABCD is a rectangle and its diagonals are  AC= 3(x-2) and BD=x+18

According to the property of a rectangle,

Diagonals of a rectangle are equal.

Therefore, AC = BD

3(x-2) = x+18

3x-6 = x+18

2x = 24

x = 12

AC = 3(12-10) = 30

BD = 12+18 = 30

Hence, the diagonals of the rectangle are AB = 30 and BD = 30

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d=discount tickets

f=full price tickets

d=f+180  (180 more full price tickets than discount tickets)

f+d=240

Answer:

b is the answer

Step-by-step explanation:

f + d = 240

f - d = 180

Answer: [tex]a=\frac{k}{9b+4}[/tex]

Step-by-step explanation:

↓↓↓↓↓↓↓↓↓↓↓↓↓↓

First, flip the equation.

[tex]9ab+4a=k[/tex]

Next, factor out variable a.

[tex]a(9b+4)=k[/tex]

Then, divide by 9b+4 from both sides.

[tex]\frac{a(9b+4)}{9b+4}=\frac{k}{9b+4}[/tex]

[tex]=a\frac{k}{9b+4}[/tex]

Hope this helps!

Thank you for posting your question at here on brainly.

-Charlie

Answer:

The value of a is [tex]a=\frac{K}{4+9b}[/tex].

Step-by-step explanation:

The given equation is

[tex]K=4a+9ab[/tex]

We have to solve the above equation  for a. So, we need to isolate the variable a.

Taking out a from the left side.

[tex]K=a(4+9b)[/tex]

Divide both sides by 4+9b to get the value of a.

[tex]\frac{K}{4+9b}=\frac{a(4+9b)}{4+9b}[/tex]

Cancel out the common factors from numerator and denominator.

[tex]\frac{K}{4+9b}=a[/tex]

Therefore the value of a is [tex]a=\frac{K}{4+9b}[/tex].

Since 18 people withdrew 100 dollars each, that would be 18 multiply by 100 which is 1800

There would be 60 pages in the book totally because you would set 40/x=2/3 and solve for x.

40/x=2/3

2x=120

x=60

Final answer:

The student read [tex]\frac{2}{3}[/tex] of a book, equivalent to 40 pages. By setting up a proportion and solving for the total number of pages, it's determined that the book has 60 pages in total.

Explanation:

The student asked a question related to proportion which falls under the category of Mathematics. They read 40 pages, and this is [tex]\frac{2}{3}[/tex] of the book. To find out the total number of pages in the book, we set up a proportion.

Let the total number of pages in the book be x. According to the given information, [tex]\frac{2}{3}[/tex] of the book is 40 pages. Therefore, we can write this as a proportion:

[tex]\frac{2}{3} = \frac{40}{x}[/tex]
[tex]x = 40*\frac{3}{2}[/tex]
x = 60

The book has 60 pages.

She should buy 5 boxes because if she bought 4 then she would have 8 without a box

Answer:  A. 10

Step-by-step explanation:

because its the right answer

The equation of a hyperbola is x^2/24^2 - y^2/ (10)^2= 1.

We have given that, The equation x^2/24^2 - y^2/ (b)^2= 1 represents a hyperbola centered at the origin with a directrix of x = 576/26.

We have to find the value of b.

[tex]\frac{(x-h)^2}{a^2} -\frac{(y-k)^2}{b^2} =1[/tex]

We have given that,

[tex]x^2/24^2 - y^2/ (b)^2= 1 \implies \frac{(x-0)^2}{24} -\frac{(y-0)^2}{b^2} =1[/tex]

a=24,h=0 and k=0

Now equation of the directrix

x=a^2/c...(1)

and we know x=576/26...(2)

Therefore from 1 and 2 we get

24^2/c=576/26.

isolate the c so we get,

C=26

C= center of focii

[tex]c=\sqrt{a^2+b^2} \\c^2=a^2+b^2\\b^2=c^2-a^2\\b=10[/tex]

So we get the value of b is 10.

Therefore the equation of a hyperbola is x^2/24^2 - y^2/ (10)^2= 1.

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[tex]f(x)=\dfrac{x}{2}-3,\ g(x)=3x^2+x-6\\\\(f+g)(x)=f(x)+g(x)=\left(\dfrac{x}{2}-3\right)+(3x^2+x-6)=\dfrac{1}{2}x-3+3x^2+x-6\\\\=3x^2+1\dfrac{1}{2}x-9[/tex]

[tex]Answer:\ \boxed{B.\ 3x^2+\dfrac{3}{2}x-9}}[/tex]

1. 0.48

2.8.48

3.124

4.29

5.530

6.1056

12.2 jlasjajlsajlajlzwljdazdazwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww

Answer:

12.2

Step-by-step explanation:i did the work and got 12.2

Lines L and M are parallel

m<2 = 38° (corresponding angles are equal)

the answer to your question is...

Answer:

Option B - 2

Step-by-step explanation:

Given :The length of a spring when it’s at rest is measured to be 0.56 centimeter.

To find : How many significant figures are there in this measurement?

Solution :

There are two important rules to find the significant figure :

1) Non-zero digits are always significant.

2) Leading zeroes in front of decimal points are not significant.

Therefore, In the given measurement 0.56 cm.

There are only two significant figures.

So, Option B is correct.

The correct answer is option B.  The measurement 0.56 has 2 significant figures.

To determine the number of significant figures in the measurement 0.56 centimeter, we follow the rules for identifying significant figures:

1. Non-zero digits are always significant.

2. Any zeros between significant digits are also significant.

3. Leading zeros (zeros to the left of the first non-zero digit) are not significant.

4. Trailing zeros in a decimal number are significant.

For the measurement 0.56:

Therefore, the measurement 0.56 has two significant figures.