What is the value of d?

11d = –44

Answers

Answer 1

Answer: 11d = -44
d = -44/11
d = -4

The answer is: d = -4.

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Ben is 4 times as old as Ishaan and is also 6 years older than Ishaan.
How old is Ben?

Answers

Given :-

Ben is 4 times as old as Ishaan.

Ben is 6 years older than Ishaan.

To find :-

age of Ben

Let :-

Ishaan age be x
Ben age be 4x

Solution :-

✪According to question:-

Ben is 6 years older than Ishaan

So :-

Ben age - Ishaan age = 6 years

put supposed values

4x - x = 6
3x = 6
x = 6 ÷ 3
x = 6/3
x = (2 × 3)/3
x = 2/1
x = 2

Original Ages :-

Ishaan age = x
Ishaan age = 2 years

Ben age = 4x
Ben age = 4(2)
Ben age 4 × 2
Ben age = 8 years

✪Verification :

1st condition:-

Ben age - Ishaan age = 6 years

put original ages

8 - 2 = 6
6 = 6

LHS=RHS

Hence verified !

Required answer :-

Ben's age =8years

A sphere fits snugly inside a cube with 6-in. edges. what is the approximate volume of the space between the sphere and cube to the nearest whole number?

Answers

Answer:

103 cube inches

Step-by-step explanation:

Since sphere fits snugly inside a cube therefore diameter of sphere will be equal to side of the cube [ which is given to be 6 inches ]

diameter = 6 inches

radius = $(diameter )/(2)$

= $(6 )/(2)$

= 3 inches

Volume of the sphere is given by $(4)/(3)\pi r^3$

here r =3 inches

therefore volume is= $(4)/(3)\pi 3^3$

= 36 pi

= 36 ( 3.142)

= 113.097 cube inches

Volume of Cube = side x side xside = 6x6x6 = 216 cube inches

Volume of space between sphere and cube = 216 - 113.097= 102.9 cube inches , nearest whole number is 103 cube inches

Volume of cube=s^3
s=6
V of cube=216
Volume of sphere=(4/3)pi(r^3)
r=3, if diameter=6
(4/3)(pi)(3^3)
V of sphere=36pi
Vcube-Vsphere=102.9026645
=103

Select all that apply.Which of the following could you use to find 40% of 32?

0.4 · 32
2/5 · 32
40/100 · 32
32/40

Answers

If you would like to solve 40% of 32, you can do this using the following steps:

40% of 32 = 40% * 32 = 40/100 * 32 = 0.40 * 32 = 2/5 * 32 = 12.8

The correct result would be 0.4 * 32; 2/5 * 32; 40/100 * 32.

Answer:

$(40)/(100)*32$

$(2)/(5)*32$

$0.4*32$

Step-by-step explanation:

we know that

$40\%=(40)/(100)=(2)/(5)=0.4$

therefore

$40\%$ of $32$

is equal to

$(40)/(100)*32=12.8$

$(2)/(5)*32=12.8$

$0.4*32=12.8$

What is the inverse of the function f(x) = 2x – 10? A. h(x) = 2x - 5B. h(x) = 2x + 5 C. h(x) = 1/2x - 5 D. h(x) = 1/2x - 10

Answers

Answer:

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

Step-by-step explanation:

y=2x-10

inteechange 'y' with 'x'

x=2y-10

make 'y' the subject

2y=x+10

divide by 2both sides

y=(x+10)÷2

y=1/2x+5

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

What process do you use to find the percent change of a quantity?

Answers

First, we need to get the amount of change:
The amount of change can either be an increase or a decrease.
It can be calculated as follows:
amount of change = $($

If the amount of change is positive, then it is an increase
If the amount of change is negative, then it is a decrease

Then, we need to convert this amount into a percentage:
Changing the amount into a percentage can simply be done by multiplying this amount by 100
This means that:
% of change = amount of change * 100

Combining the two steps:
% of change = $($ * 100

Examples:
The original price of a certain product was $10. It then became $12. Find the % of increase.
% of change = $(12-10)/(10) * 100$ = 20%
This means that the price increased by 20%

The temperature decreased from 25 degrees to 20 degrees. Find the percentage of decrease.
% of decrease = $(20-25)/(25) * 100$ = -20%
This means that the temperature decreased by 20%

Hope this helps :)

Answer:

Step-by-step explanation:

First, we need to get the amount of change:

The amount of change can either be an increase or a decrease.

It can be calculated as follows:

amount of change =

If the amount of change is positive, then it is an increase

If the amount of change is negative, then it is a decrease

Then, we need to convert this amount into a percentage:

Changing the amount into a percentage can simply be done by multiplying this amount by 100

This means that:

% of change = amount of change * 100

Combining the two steps:

% of change = * 100

Examples:

The original price of a certain product was $10. It then became $12. Find the % of increase.

% of change = = 20%

This means that the price increased by 20%

The temperature decreased from 25 degrees to 20 degrees. Find the percentage of decrease.

% of decrease = = -20%

This means that the temperature decreased by 20%

Hope this helps :)

Solve for y: 3x – 6y = 9

Answers

Hallo! :D

In the last problem you asked and I answered, it had said that if we had a math problem with two variables, and we only solve for one, the other will end up in our answer.

Step 1) Add -3x to both sides.

$3x + 6y + -3x = 9 + - 3x 6y = -3x + 9$