The area of a rectangular classroom is 420 square feet. If the length and width of the classroom are multiplied by 3, what will be the area of the new classroom?
A:1640 ft B:1720 ft C:2840 ft D:3780 ft

Answer:

C) m = -63 is your answer

Step-by-step explanation:

Isolate the variable (m). Note the equal sign, what you do to one side, you do to the other.

Multiply 3 to both sides

-21 = (m/3)

(-21)(3) = (m/3)(3)

m = (-21)(3)

Combine like terms. Simplify.

m = -21 * 3

m = -63

C) m = -63 is your answer

~

Answer:

315, 317, and 319

Step-by-step explanation:

So first we have to set the equation up. Since it is odd, we would write

[tex](x-2)+x+(x+2)=951[/tex]

where x is the middle integer. This gets you

[tex]3x=951[/tex]

Solving for x we get

[tex]x=317[/tex]

Since x was the middle, we subtract 2 and add 2 and put them together in ascending order, or 315, 317, and 319.

Answer:

7.10

Step-by-step explanation:

163.25- 106.45

divided by 8

7.10

The cost c of one baseball if, baseball bat and 8 baseballs cost $163.25, and the bat cost $106.45 is $11.36.

It is a mathematical statement that says, "this is equivalent to that," in other words. There appears to be an equal sign in the middle, a mathematical expression on the right, and a mathematical expression on the left.

Given:

The total cost of a baseball bat and 8 baseballs cost is $163.25,

The cost of one bat is $106.45,

Write the equation for the statement as shown below,

106.45 × 1 + 8c = 163.25

Here c is the cost of one baseball,

Solve the above equation as shown below,

106.45  + 8c = 163.25

8c = 163.25 - 106.45

c = 56.8 / 8

c = 11.36

Thus, the cost of one baseball is $11.36.

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Answer:

(3v5+8v3+10v2)+(-12v5+4v3+14v2)

Final result :

 -3v2 • (3v3 - 4v - 8)

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (((3•(v5))+(8•(v3)))+(10•(v2)))+(((0-(12•(v5)))+(4•(v3)))+(2•7v2))

Step  2  :

Equation at the end of step  2  :

 (((3•(v5))+(8•(v3)))+(10•(v2)))+(((0-(12•(v5)))+22v3)+(2•7v2))

Step  3  :

Equation at the end of step  3  :

 (((3•(v5))+(8•(v3)))+(10•(v2)))+(((0-(22•3v5))+22v3)+(2•7v2))

Step  4  :

Equation at the end of step  4  :

 (((3•(v5))+(8•(v3)))+(2•5v2))+(-12v5+4v3+14v2)

Step  5  :

Equation at the end of step  5  :

 (((3•(v5))+23v3)+(2•5v2))+(-12v5+4v3+14v2)

Step  6  :

Equation at the end of step  6  :

 ((3v5 +  23v3) +  (2•5v2)) +  (-12v5 + 4v3 + 14v2)

Step  7  :

Step  8  :

Pulling out like terms :

8.1     Pull out like factors :

  -9v5 + 12v3 + 24v2  =   -3v2 • (3v3 - 4v - 8)

Polynomial Roots Calculator :

8.2    Find roots (zeroes) of :       F(v) = 3v3 - 4v - 8

Polynomial Roots Calculator is a set of methods aimed at finding values of  v  for which   F(v)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  v  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  3  and the Trailing Constant is  -8.

The factor(s) are:

of the Leading Coefficient :  1,3

of the Trailing Constant :  1 ,2 ,4 ,8

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -7.00    

     -1       3        -0.33        -6.78    

     -2       1        -2.00        -24.00    

     -2       3        -0.67        -6.22    

     -4       1        -4.00        -184.00    

     -4       3        -1.33        -9.78    

     -8       1        -8.00       -1512.00    

     -8       3        -2.67        -54.22    

     1       1        1.00        -9.00    

     1       3        0.33        -9.22    

     2       1        2.00        8.00    

     2       3        0.67        -9.78    

     4       1        4.00        168.00    

     4       3        1.33        -6.22    

     8       1        8.00        1496.00    

     8       3        2.67        38.22    

Polynomial Roots Calculator found no rational roots

Final result :

 -3v2 • (3v3 - 4v - 8)

Step-by-step explanation:

Answer:

What is the numerical sum of the degree measures of ∠DEA and ∠AEB?

✔ 180

What are the numerical measures of the angles?

x =

✔ 14.5

m∠DEA =

✔ 39.5

°

m∠AEB =

✔ 140.5

°

Step-by-step explanation:

Answer:

27.27%

Step-by-step explanation:

Formula:

%= 100*(revenue-cost)/ revenue

%= 100* (121-88)/121

By 27.27%  the ticket price mark up.

The ratio of the increased value to the original value, multiplied by 100, is the percentage increase formula. It is outlined as a percentage. Anything's value will increase if it is valued more, so will its proportion.

Given:

Mark bought a concert ticket for $88.

Mark sold it for $121.

Change in amount= 121- 88 = $33.

So, the percent increase

= (121- 88) / 88 x 100

= 33/121 x 100

= 3/11 x 100

= 27.27%

Hence, the percent mark up is 27.27%.

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Answer:

y = 13x

Step-by-step explanation:

Answer:

- 10

Step-by-step explanation:

Wherever you see an x, put in a minus 1.

f(-1) = -3(-1)^2 + 2x - 5

f(-1) = -3(1) + 2(-1)  - 5

f(-1) = - 3 - 2 - 5

f(-1) = - 10

To solve the inequality 12x+7<−11 OR 5x−8>40, isolate x in each equation. The solutions are x < -1.5 and x > 9.6.

To solve for the inequality 12x+7<−11 OR 5x−8>40, we first need to simplify each equation separately i.e isolate x in each separate equation.

For the inequality 12x + 7 < -11: Subtract 7 from both sides, which gives 12x < -18. Then divide by 12 which will yield x < -1.5.

For the inequality 5x - 8 > 40: Add 8 to both sides, which gives 5x > 48. Then dividing both sides by 5, we get x > 9.6.

Our answer is therefore x < -1.5 OR x > 9.6. This means that any x value satisfying either of these conditions will satisfy the original inequality.

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To solve the compound inequality 12x + 7 < -11 OR 5x - 8 > 40, solve each inequality separately to find x < -1.5 or x > 9.6. This means x can be any value less than -1.5 or greater than 9.6.

To solve for x in the given compound inequality, we need to handle each inequality separately.

Step-by-Step Solution:

Therefore, the solution to the compound inequality is x < -1.5 OR x > 9.6.

This means x can be any number less than -1.5 or greater than 9.6.

Answer:

The answer is 19.4322

Step-by-step explanation:

The probability of Felipe winning a specific prize in the charity raffle is 1/9 or approximately 0.111.

The subject of the question is Mathematics and the grade level is Middle School.

To determine the probability of Felipe winning a specific prize from the 9 prizes, we need to divide the number of desired outcomes (one specific prize) by the total number of possible outcomes (9 prizes in total). Therefore, the probability of Felipe winning a specific prize is 1/9, or approximately 0.111.

For example, if Felipe wants to calculate the probability of winning the first prize, he has 1 desired outcome (winning the first prize) out of 9 possible outcomes (9 prizes in total). Thus, the probability of winning the first prize is 1/9.

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Answer: 90

Step-by-step explanation:because  if you times 10 to get 30 so you also times it by 9 so 9 x 10 = 90

Answer:

$59.50

Step-by-step explanation:

34/400=x/700

400x=23,800

x=59.5

Answer:

see below     Please give brainliest

Step-by-step explanation:

To find the tax rate:

$34 ÷ $400 = 0.085 = 8.5%

To figure amount of tax:

$700 x .085 (8.5%) = $59.50 is the amount of tax to be paid

Answer:

y = 3x-3

Step-by-step explanation:

y = mx+b

m is your slope and b is your y-intercept

plug those numbers in

y = 3x-3

The slope-intercept form:

y = mx + b

m - slope

b - y-intercept

We have m = 3 and b = -3. Substitute:

Answer:

When dealing with the area of ANY geometric shape the rule is, an increase that doubles one dimension, will equal an increase of 4 in area.

Basically, this is because 2² = 4

So, the larger cake will serve 6 * 4 = 24 people.

Step-by-step explanation:

Answer:

12 people

Step-by-step explanation:

rachel has 2 hexagonally shaped birthday cakes

Let A and B represent the two hexagonally shaped cakes.

the smaller of which serves six people.

Oh!, so Let A represent the Bigger cake;     &

B to represent the smaller cake;

SO, B serves ------- 6 people

The question proceeds by stating it that ;

If one length of one side of the larger cake is twice that of the smaller cake

If the smaller cake side B is x

and the larger cake A be 2x

An hexagonally shaped cake is definitely going to have 6 sides

So;

For B

6x = 6

x = 1

Since x =6 , For A

2x = 2(1)

= 2

Therefore, the cake is going to serve 2 × 6 people

= 12 people

Question

what is -3/4 × -8 ?

Answer:

Step-by-step explanation:

-3/4 * (-8) =

-3 * (-2) =

6

If the rectangle a × b and the rectangle c × d are similar, then

a : b = c : d.

Check:

[tex]A)\ \dfrac{6}{8}=\dfrac{6:2}{8:2}=\dfrac{3}{4}\qquad\text{CORRECT}\\\\B)\ \dfrac{6}{8}=\dfrac{6:2}{8:2}=\dfrac{3}{4}\neq\dfrac{2}{4}\\\\C)\ \dfrac{6}{15}=\dfrac{6:3}{15:3}=\dfrac{2}{5}\neq\dfrac{3}{8}\\\\D)\ \dfrac{9}{15}=\dfrac{9:3}{15:3}=\dfrac{3}{5}\neq\dfrac{3}{4}[/tex]

Because of its convenience and easy access to ATMs, debit cards are the most common form of payment today. 

Debit cards are linked to your bank account and will allow you to access those available funds. If you swipe your debit card it will automatically remove funds from your bank account to pay for your items. You are also able to use it at an ATM to withdraw cash. Most debit cards have an allowed amount of money you can withdraw from an ATM in a day. 

Answer:

Step-by-step explanation:

a Debit card

apex

Answer:

4 hours

Step-by-step explanation:

6.25X4=25 so he'll have an extra dollar

Answer:

11,200 yards

Step-by-step explanation:

First, plot all the points on a graph. Then draw Liza's path. Add them all up and multiply by 400.

28 · 400 = 11,200.

Liza walked 11,200 yards.

My graph is attached. The blue line is Liza's path and each coordinate point is labeled.

I hope this helps u!!

:)

Answer:

11,200 yards.

Step-by-step explanation:

Distance between two points is;

Distance = √(x²+y²)

Distance between Bank and post office = √(5²+0)

                                                                     = 5

Distance between post office and dry cleaner = √(0+9²)

                                                                              = 9

Distance between Dry cleaner and pizza shop = √(0+5²)

                                                                                = 5

Distance between Bank and pizza shop  = √(9²-0)

                                                                    = 9

Total distance = 5+9+5+9

                       = 28 units

1 unit ⇒ 400 yards

28 units ⇒ (28×400)

              ⇒ 11,200 Units

Answer:

32291999

Step-by-step explanation:

Step 1

We will use the fundamental counting principle to work out the total number of possible plates. The fundamental principle of counting states that if a process can be completed in k steps, and that there are [tex]n_1[/tex] steps to complete the first step, [tex]n_2[/tex] steps to complete the second step and [tex]n_k[/tex] stepts to finish the kth step, then there are [tex]n_1\times n_2 \times ....\times n_k[/tex] ways to complete the steps.

Step 2

In this step we figure out the number of ways to complete each step given that no repetitions are allowed. Note that this will include the plate that has I,O,W,A.

The first step can be carried out in 10 ways because there are 10 digits.

The second step can be carried out in 9 ways because we are not allowed to repeat any digits.

The third step can be carried out in 26 ways as there are 26 letters of the alphabet.

The fourth step can be carried out in 25 ways because no repeats are allowed.

the fifth step can be carried out in 24 ways because two of the letters will already have been used.

The sixth step can be carried out in in 23 ways because three letters have been used already.

Step 3

The third step is to use the fundamental counting principle with the values listed in step 3. We will also subtract 1 from whatever value we get because we would have counted the combination with I,O,W,A in it. This calculation is shown below,

[tex]10\times 9\times 26\times 25\times 24\times 23-1=32291999[/tex]

To calculate the total number of available license plates in Iowa based on specific formats and restrictions.

License Plate Combination Calculation:

Since the format is 2 numbers followed by 4 letters, with restrictions on certain letters and repeat use, we calculate the possibilities step by step:

For numbers: 10 choices for each position, so 10×10 = 100 possibilities.

For letters: After considering the restrictions, we have 22 choices for the first letter, 21 for the second, 20 for the third, and 19 for the fourth, resulting in 22×21×20×19 = 155,760 possibilities.

Finally, multiplying the possibilities for numbers and letters gives us the total number of available license plates: 100 × 155,760 = 15,576,000.

Using the scale factor 1/4 inch equals 1 foot to convert Julie's actual bedroom dimensions to the blueprint scale, the bedroom measures 3 inches by 4 inches on the blueprint.

To find the dimensions of Julie's bedroom on the architect's blueprint when the scale drawing is 1/4 inch equals 1 foot, we first need to establish the unit scale as a ratio. Given that the actual dimensions of her bedroom are 12 feet by 16 feet, we convert these measurements to inches on the blueprint using the provided scale.

We use the ratios:

By cross-multiplying and dividing, we can find the blueprint measurements:

For length:

For the width:

Therefore, the dimensions of her bedroom on the blueprint are 3 inches by 4 inches.

To find the blueprint dimensions of Julie's bedroom using the scale 1/4 inch = 1 foot, the actual dimensions of 12 ft by 16 ft are converted to 48 inches by 64 inches respectively by multiplying each dimension by the inverse of the scale ratio (4 feet / 1 inch).

To find the dimensions of Julie's bedroom on the blueprint, we must use the scale given which is 1/4 inch = 1 foot. This means that for every foot in actual size, it is represented by 1/4 inch on the blueprint. To convert Julie's actual bedroom dimensions, 12 feet by 16 feet, to blueprint dimensions, we multiply each by the inverse of the given scale.

Calculation steps for the length:

For the width, follow the same steps:

Therefore, the dimensions of Julie's bedroom on the blueprint should be 48 inches by 64 inches.

Answer:  a) 278382 oz

b) 43 oz

c) 64.1 oz

Step-by-step explanation:

a) 8 T. 1,398 lb. 14 oz. × 6

First we need to change it in 'oz'.

As we know that

[tex]1\ ton=32000\ oz\\\\1\ lb=16\ oz[/tex]

so, it becomes,

[tex]8\times 32000+1398\times 16+14\ oz\\\\=278382\ oz[/tex]

8 T. 1,398 lb. 14 oz. × 6 becomes

[tex]278382\times 6\\\\=1670292\ oz[/tex]

b) 349 lb. 6 oz. ÷ 130

It becomes,

[tex]349\times 16+6\ oz\\\\=5590\ oz\\\\\text{ at last it becomes}\\\\=\frac{5590}{130}\\\\=43\ oz[/tex]

c) 6 T. 294 lb. ÷ 3,071

First it becomes,

[tex]6\times 32000+294\times 16\ oz\\\\=196704\ oz[/tex]

At last it becomes,

[tex]\frac{196704}{3071}\\\\=64.1\ oz[/tex]

Hence, a) 278382 oz

b) 43 oz

c) 64.1 oz

Answer:

A. 278382 ounces

B. 43 ounces

C. 64.1 ounces

Answer:

a=[tex]\frac{3}{x^{2} }[/tex]

b=5

Step-by-step explanation:

we are given

[tex]\frac{3}{x} }[/tex]+[tex]\frac{5}{x^{2} }[/tex]=ax+[tex]\frac{b}{x^{2} }[/tex]

we will compare both sides of equaion

 [tex]\frac{b}{x^{2} }[/tex]=[tex]\frac{5}{x^{2} }[/tex]

comparing both sides we get

b=5

and

[tex]\frac{3}{x} }[/tex]=ax

a=[tex]\frac{3}{x^{2} }[/tex]

hence

a=[tex]\frac{3}{x^{2} }[/tex]

and   b=5

Answer:

a=3

b=5

Step-by-step explanation:

answers on edge

The length of DE is 6 inches.

I can see that from the image, DE is a horizontal line segment that is 6 units long. This is because the x-axis is labeled in units, and DE spans 6 units on the x-axis.

we know that

The triangle XYZ and DEF are similar triangles

therefore

The ratio of their corresponding sides is equal

12/8 = 9/x

x = 8 * 9/12

x = 6 Units.

Therefore the length of DE is 6 inches.

Look at the picture.

ΔZYX and ΔDYC are similar. Therefore the lengths of sides are in proportion:

[tex]\dfrac{DC}{ZX}=\dfrac{DY}{ZY}[/tex]

DC = x

ZX = 16

DY = a

ZY = a + a = 2a

Substitute:

[tex]\dfrac{x}{16}=\dfrac{a}{2a}[/tex]

[tex]\dfrac{x}{16}=\dfrac{1}{2}[/tex]       multiply both sides by 16

[tex]\boxed{x=8}[/tex]

Answer: False

A plane is a flat line that extends forever in all directions. Think of a flat piece of paper that does not bend or curve. If you intersect two planes, then they will form a straight line. This line will extend forever both directions. There are infinitely many points on this line of intersection. You can think of a book as a good example: the pages are the planes while the spine is the line of intersection.

Answer:

13.1

Step-by-step explanation:

yes