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## Related questions in Mathematics

### Find two consecutive even integers such that their sum is equal to the difference of three times the larger and two times the smaller.

x+(x+2)=3(x+2)-2x

2x+2=3x+6-2x

2-6=x

x=4

x+2=6

the numbers are: 4 and 6

### Im thinking of a number .the 1000s digit is lower than 4.the100s digit is 4 . the 10s digit is even .the 1s digit is 6.find eight possible number

### What value of M makes the expression equal a number more than 3? 3M Options: A. 9/16 B. 6/5 C.7/16 D.2/3

3.2/3=2

### What is the multiple of two numbers and one of the number is a multiple of another give an example

### Write to explain two ways you can find the sum of 3+4+5.

way 2: draw 3 tally marks then 4 more then 5 more then count them all together to get the sum 12

hope this helped:)

### The moon is about 240,000 miles from Earth .What is the distance written as a whole number multiplied by a power of ten?

### A complex number, (a + bi), multiplied by (2 + 3i) and added to -i gives the product of (-11 + 5i) and (1 – i).a = and b =

**Answer:**

Hence, we have:

** a= 3 and b= 4**

**Step-by-step explanation:**

It is given that:

A complex number, (a + bi), multiplied by (2 + 3i) and added to -i gives the product of (-11 + 5i) and (1 – i).

i.e.

Since, we know that :

Hence, we have:

i.e. we have:

and

On multiplying equation (1) by 2 and equation (2) by 3 we get:

on putting the value of a into equation (1) we get:

### 15 dollars every lawn he mows. Is the amount of money proportional to the number of lawns mowed

### EXERCISE A one-year membership to a gym costs $725. The registration fee is $125, and the remaining amount is paid monthly. Define a variable. Then write and solve an equation to find how much new members pay each month.

### Find a number between 364 and 384 which is multiple of 3 and7

### Right each number in standard form 8 + 0.0 + 0.05 + 0.009

= 8.000 + 0.050 + 0.009

= 8.000 + 0.059

=

**8.059**

Hope this helps you! =)

### A square field is to be ploughed ramu gets it ploughed in rupees 34560 at the rate of 15 perm sq find the side of square field.

### What number should be added to the sum of 83524 and 4365 to get 900.

83524+4365=87889

87889-900=86989

so........

83524+4365+(-86989)=900

### F(x)=√(10-3x) find the formula

y=sqrt(10-3x)

you want to make x the subject

square both sides

y²=10-3x

3x=10-y²

x=(10-y²)/3

now replace y with x

f^-1(x)=(10-x²)/3

### Choose the correct solution in roster form. S is the set of prime numbers that are less than 15. A- { 2, 3, 5, 7, 11, 13 } B- { 2, 3, 5, 7, 9, 11, 13 } C- { 1, 3, 5, 7, 9, 11, 13 } D- { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 } ---------------------------------------------------------------------------------- Write the solution to the inquality in set-builder notation. 9t - 4 >32 A- { t | t > 4 } B- { t | t > 6 } C- { t | t > 28 } D- { t | t > 36 }

Mathematically speaking, roster form of a set is a list of elements that are in the set.

Basically, to represent a set in roster form, we simply list the elements of the set, separated by commas, within braces.

as per the question, consider the set, S, described verbally:

S = {all prime numbers less than 15}

To write this in roster form, we would first identify all the elements in the set. Let's see. . . the integers that are strictly greater than 0 and less than or equal to 4 would be the integers that are between 0 and 4, not including 0, but including 4, so 1, 2, 3, and 4.

Now we just write these integers, separated by commas, within braces.

** S = {2, 3, 5, 7, 11, 13}. So answer is option A**

Set notation is a representation of a set of the form {element | properties of that element}.

To represent the inequality in set builder notation, we will first have to solve for the inequality as follows:

9t - 4 >32

**Step 1: Add 4 on LHS(Left hand side) and RHS(right hand side) of the inequality.**

9t > 36

**Step 2: Divide LHS and RHS by 9**

**t > 4**

This means that the inequality holds for all values of t greater than 4 i.e.

**{ t | t > 4 }. so answer is option A**

### Doreen schmidt is a chemist. She needs to prepare 36 ounces of a 10% shydrochloric acid solution. Find the amount of 18% solution and the amount of 9% solution she should mix to get this solution

Amount of 18% solution = x

Amount of 9% solution = 36 - x

Using the fact that (amount of solution) * (percent HCl) = amount HCl we can set up an expression for the amount HCl in a mixture of 18% and 9% solutions with a total volume of 36oz.

Amount of HCl = x*0.18 + (36 - x)*0.09

If we divide this by the amount of solution we get percent HCl, and we have a target of 10% HCl. Now we have an equation to solve,

[x*0.18 + (36 - x)*0.09]/36 = 0.1

x*0.09 + 3.24 = 3.6

.09x = 0.36

x = 4

Therefore,

4 ounces of 18% HCl solution and 32 ounces of 9% HCl solution

Check:

[(4*.18) + (.09*32)]/36 = 0.1?

0.1 = 0.1 Yes.

### The area of rectangle is 1936m sq. if the length is 4 times its breadth. find the dimension of the rectangle.

So, length = 4x m.

Area of the rectangle = 1936m sq.

So,

4x × x = 1936

4x^2 = 1936

x^2 = 1936/4

x^2 = 484

x = √484

x = √22×22

x = 22

Hence, breadth = 22m.

Length = (4×22)m = 88m.

### Find the volume of cubical box . if the cost of painting of outer surface is rs 1440 at the rate rs 15 per mcube

1)We have to calculate the surface of this cubical box.

Rate=cost of painting / surface ⇒surface=cost of painting/rate

Data:

Rate=$15/m²

cost of painting=$1440

Surface=$1440/($15/m²)=96 m²

2)We find out the length of the side:

Surface of a cubical box=6(side²)

Data:

Surface of a cubical box=96 m2

Therefore:

96m²=6 (side²)

side²=96 m²/6

side²=16 m²

side=√(16 m²)=4 m

3) We find the volume of a cubical box.

volume=(side³)

volume=(4 m)³

volume=64 m³

**Answer: the volume of this cubical box would be 64 m³.**

### Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2 Find F{G[H(2)]}

### How to find the positive value of x cubed, (equals 8)?

### A petting zoo has 5 lambs 11 rabbits 4 goats and 4 piglets. find the ratio of goats to the total number of animals. write the ratio in the simplest form then explain its meaning

5+11+4+4=24

Then, find the number of goats and put that into a ratio with 24

4:24

1:6

This ratio means that for every 6 animals there is 1 goat

Hope this helps :D

### A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.6 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 6 ft from the wall? (That is, find the angle's rate of change when the bottom of the ladder is 6 ft from the wall.)

cos(Ф) = x/10

2) Take the derivative/gradient in terms of time (t) to find the related rates.

d[cos(Ф)]/dt = d[x/10]/dt

-sin(Ф)*dФ/dt = (1/10)*dx/dt

dФ/dt = -(dx/dt)/(10*sin(Ф))

3) Substitute in the constants for the moment in time

Given: dx/dt = 0.6; x=6 -> Ф = cos-1(6/10) = ~0.93rad

Therefore: dФ/dt = -3/40 rad/sec