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artcher [175]
3 years ago
6

My number had a tens digit that is 8 more than the ones digit. Zero is not one of my digits

Mathematics
1 answer:
marin [14]3 years ago
4 0

The tens digit is 8 more than the ones digit. There isn't any zeros.

The maximum digit is 9 because 10 would be 2 digits, 1 and 0.

So say the tens digits is 9.

9 _

The ones digit is 8 less so 9-8 = 1

9 1

There isn't any zeros which is correct.

The answer is 91.  

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Find the volume of the rectangular prism.<br> 9 cm<br> 9 cm<br> 9 cm
cricket20 [7]

Answer:

3672 cm^3

Step-by-step explanation:

There is a typo in the question, the lengths of the sides of the prism are:

24 cm

9 cm

17 cm​

(otherwise, if all sides were 9 cm, it would be a cube, not a prism)

The volume of a rectangular prism is given by:

V=l\cdot w\cdot h

where:

l is the length of the prism

w is the width of the prism

h is the height prism

In this problem,

l=24 cm (length)

w=9 cm (width)

h = 17 cm (height)

Therefore, the volume of the prism is:

V=24\cdot 9 \cdot 17 = 3672 cm^3

3 0
3 years ago
there are 150 more passenger cars than trucks on the highway. for every 10 passenger cars there are 7 trucks. how many trucks ar
lora16 [44]

Answer:

500

Step-by-step explanation:

Given: P = 150 - T where P is passenger cars and T is trucks

10P = 7T ⇔ P = \frac{7T}{10}

Plug in equation 2 into equation 1:

\frac{7T}{10} = 150 - T

Solving for T, we get 500

5 0
3 years ago
Read 2 more answers
Determine the truth value of each of these statements if thedomainofeachvariableconsistsofallrealnumbers.
hoa [83]

Answer:

a)TRUE

b)FALSE

c)TRUE

d)FALSE

e)TRUE

f)TRUE

g)TRUE

h)FALSE

i)FALSE

j)TRUE

Step-by-step explanation:

a) For every x there is y such that  x^2=y:

 TRUE

This statement is true, because for every real number there is a square         number of that number, and that square number is also a real number. For example, if we take 6.5, there is a square of that number and it equals 39.0625.

b) For every x there is y such that  x=y^2:

 FALSE

For example, if x = -1, there is no such real number so that its square equals -1.

c) There is x for every y such that xy = 0

 TRUE

If we put x = 0, then for every y it will be xy=0*y=0

d)There are x and y such that x+y\neq y+x

 FALSE

There are no such numbers. If we rewrite the equation we obtain an incorrect statement:

                                   x+y \neq y+x\\x+y - y-y\neq 0\\0\neq 0

e)For every x, if   x \neq 0  there is y such that xy=1:

 TRUE

The statement is true. If we have a number x, then multiplying x with 1/x (Since x is not equal to 0 we can do this for ever real number) gives 1 as a result.

f)There is x for every y such that if y\neq 0 then xy=1.

TRUE

The statement is equivalent to the statement in e)

g)For every x there is y such that x+y = 1

TRUE

The statement says that for every real number x there is a real number y such that x+y = 1, i.e. y = 1-x

So, the statement says that for every real umber there is a real number that is equal to 1-that number

h) There are x and y such that

                                  x+2y = 2\\2x+4y = 5

We have to solve this system of equations.

From the first equation it yields x=2-2y and inserting that into the second equation we have:

                                   2(2-2y)+4y=5\\4-4y+4y=5\\4=5

Which is obviously false statement, so there are no such x and y that satisfy the equations.

FALSE

i)For every x there is y such that

                                     x+y=2\\2x-y=1

We have to solve this system of equations.

From the first equation it yields x=2-y  and inserting that into the second equation we obtain:

                                        2(2-y)-y=1\\4-2y-y=1\\4-3y=1\\-3y=1-4\\-3y=-3\\y=1

Inserting that back to the first equation we obtain

                                            x=2-1\\x=1

So, there is an unique solution to this equations:

x=1 and y=1

The statement is FALSE, because only for x=1 (and not for every x) exists y (y=1) such that

                                         x+y=2\\2x-y=1

j)For every x and y there is a z such that

                                      z=\frac{x+y}{2}

TRUE

The statament is true for all real numbers, we can always find such z. z is a number that is halway from x and from y.

5 0
3 years ago
How can you get the variable alone in 84+c=111
VLD [36.1K]
Subtract 84 on the other side of the equal sign and bring down c and the answer you get from 111 - 84.
4 0
3 years ago
Read 2 more answers
A box of 8 waffles weigh 26.9 ounces.The box weighs 4.5 ounces. What is the weight of each waffle?
Phoenix [80]
Each waffle weighs 5.97 ounces hope this helps!
8 0
3 years ago
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