Rico thinks of a number between 30 and 40 that is represented by x
.
•
This number,
x
, is
3
_
4
of another number, which is represented by
y
.
•
The number represented by
y
equals
1
_
3
of another number, which is
represented by
z
.
•
The number represented by
z
is a number from 140 to 151.
•
The numbers represented by
x
,
y
, and
z
are whole numbers.
(a)
What are the values for
x
,
y
, and
z
?

Answers

Answer 1

Answer: Hello,

x,y,z∈ IN

$x=(3)/(4)*y$
$y=(1)/(3)*z$

$140<z<151\ ==>\ (140)/(3)<(z)/(3)<(151)/(3)$
$46\leq\ y\ \leq\ 50 ==>\ (46*3)/(4)\leq(3y)/(4)\leq(50*3)/(4)$
$35\ \leq\ z\ \leq\ 37$ ==>
x∈{35,36,37}
y∈{47,48,49}
z∈{141,144,147}

We must go futher:

if x=35 then y=4*35/3=46.666 not good , not whole
if x=36 then y=4*36/3=48 ok
if x=37 then y=37*4/3=49.333.. not good

So there is only one solution (36,48,144) for (x,y,z)

No problem with z for z=3/1*4/3*x=4x ==>whole.

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Justin is 2 years older than one third marcella's age

Answers

$x=63$ which is Marcella's age

$(1)/(3)$ of 63 is 21 ⇔ 63÷3=21

$2+21=23$ which is Justins age

$2(23)-4=42$

Marcella's age⇒63

Justin's age⇒23

Aimee's age⇒42

Note: I was trying to find a better way to do this but I couldn't figure it out in the top of my head so I'm sorry for the long response

If Marcella is 63, divide by 3 is 21, add 2 equals out to be 23 which is Justin's age. Then 23 multiplied by 2 is 46, subtract 4 from 46, which equals out be 42 and that is Aimee's age.:)

Marcella= 63
Justin= 23
Aimee= 42

PLEASE HELP! In quadrilateral MNOP, ∠M ≅ ∠N. Quadrilateral MNOP could be a:

I. trapezoid II. rhombus III. parallelogram

A) III only

B) II or III

C) I, II, or III

D) I or II

Answers

because a quarteratrall is a shape with 4 sides a rhombus has 4 sides a trapezoidal has 4 sides and a paralleagram two be a shape it has to have four sides or else it wont be a parallel

Answer:

Step-by-step explanation:

Which set of integers is in the right order from least to greatest?-8,8,6,|-7|,5
|-7|,-8,8,6,5
-8,5,6,|-7|,8
5,6,8,-8,|-7|

Answers

Answer:

-8, 5, 6 , |-7|, 8

Step-by-step explanation:

We can solve the absolute functions to make it easier to determine which set is from least to greatest

-8, 8, 6, 7, 5 x

7, -8, 8, 6, 5

-8, 5, 6, 7, 8

5, 6, 8, -8, 7

Therefore the group of order integers from least to greatest is -8, 5, 6 , |-7|, 8

Write 3.25 x 10^4 as a ordinary number

Answers

Answer:

32500

Step-by-step explanation:

$3.25 * {10}^(4) = 3.25 * 10000 \n = 32500$

Answer:

32500

Step-by-step explanation:

3.25 x 10 to the power of 4 = 3.25 x 10000 = 32500

What is the image of the point (9, -2) after a rotation of 90º counter-clockwise about the origin?

Answers

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The length of my desk is 46 cm how many centimetres short of a metre is the desk 40cm 50cm 30cm 54cm

Answers

A metre = 100 centimeters.

If you say your desk measures 46cm:

100 - 46 = 54

Than you desk is 54cm less than a metre.

Hop eit helped,

Happy homwork/ study/ exam!

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