- A cereal manufacturer needs to change the
size of its cereal box to fit on narrower
shelves. The dimensions of the current box
are 12 inches high by 9 inches wide by 2
inches deep. The new box will have the
same height and volume, but the width will
be reduced by 1 inch. What will be the
depth, to the nearest hundredth of an inch, of
the new cereal box?​

Answer:

-8/9.

Step-by-step explanation:

The slope = difference in y-values / corresponding difference in x values

Slope = (-8-0)/(5 - (-4))

= -8/9.

Answer:

C) 36

Step-by-step explanation:

Area of a triangle:

A = 1/2bh

Given:

b = 9

h = 8

Work:

A = 1/2bh

A = 1/2(9)(8)

A = 4.5(8)

A = 36

Answer:

D ; y = (4/3)x + 2

Step-by-step explanation:

The general form of the equation of a straight line is;

y = mx + b

where m is the slope and b is the y-intercept

Now, let us represent the given equation in this general form

We have this as;

4y= -3x + 12

divide through by 4

y = -3/4x + 3

Now, the slope of this equation is -3/4

Mathematically, when two lines are perpendicular, the product of their slopes is -1

let us have the slope of the second equation as m2

-3/4 * m2 = -1

-3m2 = 4 * -1

m2 = -4/-3

m2 = 4/3

so, the equation that is perpendicular will have its slope as 4/3

Looking through the options given as we have the equations in the general form, the equation D is the correct answer

D ; y = (4/3)x + 2

Answer: 24

Step-by-step explanation:

FIrst solve:

x-2.5 =+-12

1) x=14.5

2) x= -9.5

add both of them( get rid of the minus sign) 14.5+9.5 = 24

Answer: 55 people attend aerobics at Martha’s altogether

Step-by-step explanation:

Martha conducts aerobics three times a week in her home.

Number of members in first group = 19 members

Number of members in second group = 22 members ; and

Number of members in third group = 14 members

To find the number of people who attended aerobics we have to add the number of members in all tge three groups.

So, number of people who attended aerobics at Martha’s altogether = 19 + 22 + 14 = 55 members

Hope it helps.

Thank you :)

Step-by-step explanation:

Answer:

The mean is 19.33

Step-by-step explanation:

How to Find the Mean. The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Answer:

a=6

b=-2

Step-by-step explanation:

You can use the hint provided on the mathswatch question page, I've attached it below

step 1

h(4) = ax+b = (ax4)+b = 4a+b

it is given in the question that h(4)=22, therefore 4a+b=22

step 2

work out the equation for inverse g

g^-1(x) = [tex]\frac{x-2}{3}[/tex]

step 3

input 14 into the equation in place of x to find g^-1(x)

[tex]\frac{x-2}{3} =\frac{14-2}{3} =\frac{12}{3} =4[/tex]

so, g(x)^-1=4

step 4

find h(1):

h(1) = (ax1)+b = a+b

so, h(1)=a+b

step 5

a+b=4 (as it is given in the question that g^-1(14) is equal to h(1))

step 6

Now you have two simultaneous equations:

4a+b=22

a+b=4

then, solve for a:

4a+b=22

- a+b=4  

3a=18

a=6

then, input answer for a into either equation (I've gone with the a+b=4 equation):

6+b=4

-6   - 6

b=-2

(p.s i know this is very late but hope it helps someone)

Answer:

the possible prediction of getting a purple or blue is 2 out of 6

Step-by-step explanation:

(hope this helps can i plz have brainlist :D hehe)

Answer:

The answer is the 3rd one i think ,

Step-by-step explanation:

The real answer is 23 and the nearst item among these , is 20.2% .

Hope this helps u .

Good luck ^^

Answer: A) 20.9 ; B) 34years

Step-by-step explanation:

Given the following :

AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23

FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1

A)

MEAN(X) = [AGE(X) × FREQUENCY (F)] ÷ SUM OF FREQUENCY

F*X = [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]

= 38 + 60 +21 + 88 + 23 = 230

SUM OF FREQUENCY = 2 + 3 + 1 + 4 + 1= 11

MEAN(X) = 230 / 11

X = 20.9

B)

WHEN A NEW PLAYER WAS ADDED :

MEAN (X) = 22

Let age of new player = y

Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y

Number of players = 11 + 1 = 12

Mean(x) = sum of ages / number of players

New mean (x) = 22

x = (230 + y) / 12

22 = (230 + y) / 12

Cross multiply

264 = 230 + y

y = 264 - 230

y = 34 years

Answer:

72

Step-by-step explanation:

360/5 = 72

The angle of the rotation will be 72°. Then the correct option is B.

A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.

Rotation does not change the size and shape of the geometry. But change the orientation of the image.

The pentagon is shown.

The angle of rotation of the pentagon such that the pentagon will remain in the same position.

Then the angle of the rotation is given as,

⇒ 360° / n

Where n be the number of the sides of the polygon.

In pentagon, the number of the sides will be 5.

Then the angle of the rotation will be

⇒ 360° / 5

⇒ 72°

Thus, the angle of the rotation will be 72°

Then the correct option is B.

More about the transformation of geometry link is given below.

https://brainly.com/question/22532832

#SPJ5

Answer:

For a volume of 60 ounces, the appropriate price is $16

Step-by-step explanation:

Firstly, we need to determine the relationship between volume of popcorn and the price of bag.

Let us try and see if there is a linear relationship

A linear model is of the form ;

y = mx + b

where m is the slope and b is the y intercept

While the price represents the y axis values, the volume represents the x axis values

For the slope;

m = (y2-y1)/(x2-x1)

m = (13.6-11)/(48-35) = 2.6/13 = 0.2

So we have the slope value as 0.2

the equation is;

y = 0.2x + b

to get b, substitute any value of (x,y)

6 = 0.2(10) + b

6 = 2 + b

b = 6-2 = 4

If we had substituted (20,8)

8 = 0.2(20) + b

8 = 4 + b

b = 4

if (48,13.6)

13.6 = 48(0.2) + b

13.6 = 9.6 + b

b = 13.6-9.6

b = 4

Hence we have established linear relationship between the volume in ounces and the price in $

So we have this as

Price = 0.2(volume) + 4

So for volume of 60 ounces;

Price = 0.2(60) + 4

price = 12 + 4

price = $16

The reason why this is appropriate is because it follows the rule of the established linear relationship

Answer:

$16

Step-by-step explanation:

Answer:

1.) 12m = d

2.) 120

Answer:

d=12m

$120

Explained

part 1:

d=12m (dollars = $12 times the m (the number of mows))

part 2:

m=10

d=12 (10)

d=$120

Answer:

6

Step-by-step explanation:

Answer:

Yes, because each input (number of bagels) has a single output (cost).

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

The answer is A) because the formula to solving the area of a parrellogram is b x h

Answer:

option (C) is right answer

Answer:

this is for scaming me HAH

Step-by-step explanation:

Convert to percentages to understand the question better:

3/4 = 75%

4/5 = 80%

What is 80% of 75%?

Convert the percentages to decimals:

75% = 0.75

80% = 0.8

Calculate:

0.8 × 0.75 = 0.6

Convert back to original problem's format (fraction):

0.6 = 60% = 6/10 = 3/5

Miguel used 3/5 pounds of chocolate chips.

Answer:

the perimeter of the rectangle is 70 cm

Step-by-step explanation:

The computation of the perimeter of the rectangle is given below:

first we determine the side of each tile i.e.  

l² = A

l² = 49cm²

l = √49cm²

l = 7cm

now we calculate the perimeter i.e.  

P = 2 (3 (7cm) + 2 (7cm))

= 2 (21cm + 14cm)

= 2 (35cm)

= 70cm

Hence, the perimeter of the rectangle is 70 cm

Answer:

I think swinging.

Step-by-step explanation:

I think this because that is the only one that would explain why the distance decreases and increases.

Answer:

d

Step-by-step explanation:

Answer:

Don't understand 12am like how

Answer:

d

Step-by-step explanation:

(7,1)

Answer: 800

Step-by-step explanation:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

The surface area of the figure is 40 + 5π.

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

From the figure,

We have a semicircle and a rectangle.

Now,

Diamter = 10 in

Radius = 5 in

Circumference = 2πr

Semicircle circumference = πr

Now,

The surface area of the figure.

= 15 + 10 + 15 + πr

= 40 + 5π

Thus,

The surface area of the figure is 40 + 5π.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ2

The complete question.

The figure is attached.

Answer:

Logic

Step-by-step explanation:

3 square = 9

4 square = 16

9+16= 25

5 square = 25

4 square = 16

5 square = 25

16+25= 41

6 square = 36

Answer:

The answer is C

Step-by-step explanation:

5(-8) is equal to -40 and -40 minus 2 would give you -42

You could try it with the others if you want

Answer:

The answer is C

Step-by-step explanation:

to find slope do

-42 - (-17) = -25

and

-8 - (-3) = -5

then

-25/-5 = 5 as the slope

to find the y-intersept look where x = 0

so the y-intersept is -2

linear equation is y=mx+b

m = slope

b = y-intersept

so y = 5x - 2

Answer:

Third option : 9^10 / 9^2

Step-by-step explanation:

9^2 . 9^6

Formula / Identity : -

a^m . a^n = a^( m + n )

Here,

a = 9

m = 2

n = 6

9^2 . 9^6

= 9^( 2 + 6 )

=9^8

9^10 / 9^2

Formula / Identity : -

a^m / a^n = a^( m - n )

Here,

a = 9

m = 10

n = 2

9^10 / 9^2

= 9^( 10 - 2 )

= 9^8

Therefore,

9^10 / 9^2 is equivalent to 9^2 . 9^6.

Anwnser 8

Step-by-step explanation:

2,4,6,8,32