All categories

2 years ago

when 9 is increased by 3x the result is greater than 36. What is the least possible interger value for x?

Mathematics

2 answers:

arsen [322]2 years ago

5 0

Answer:

Step-by-step explanation:

"When 9 is increased by 3x"

THis means 9 + 3x

"The result is greater than 36"

We use greater than sign and 36

So we can write:

9 + 3x > 36

SOlving this via equation rules and algebra:

9 + 3x > 36

3x > 36 - 9

3x > 27

x > 27/3

x > 9

This means x is everything greater than 9, which satisfies the equation. So in terms of integers, it can be 10, 11, 12, 13...anything above

We want to find the least possible integer value of x, so it is definitely 10

stepan [7]2 years ago

4 0

Answer:

Step-by-step explanation:

First we have to convert the given statement into the expression.

9 is increased by 3x. This means 3x is being added to 9. So the expression will be: 9 + 3x

The result of this is greater than 36. So, the result is:

9 + 3x > 36

We have to find the least possible integer value for x i.e. the smallest integer that would satisfy the above inequality.

Subtracting 9 from both sides of the inequality, we get:

3x > 36 - 9

3x > 27

Dividing both sides by 3, we get:

x > 9

This means x must be greater than 9. So, the integer values that would satisfy this inequality would be: 10, 11, 12, 13, ....

So, from here we can conclude that the least possible integer value for x would be 10. The answer cannot be 9, as x must be greater than 9 as represented by x > 9.

You might be interested in

A water trough has two congruent isosceles trapezoids as ends and two congruent rectangles as sides.

BlackZzzverrR [31]

Answer:

Part a) The exterior surface area is equal to $160\ ft^{2}$

Part b) The volume is equal to $240\ ft^{3}$

Part c) The volume water left in the trough will be $84\ ft^{3}$

Step-by-step explanation:

Part a) we know that

The exterior surface area is equal to the area of both trapezoids plus the area of both rectangles

Find the area of two rectangles

$A=2[12*5]=120\ ft^{2}$

Find the area of two trapezoids

$A=2[\frac{1}{2}(8+2)h]$

Applying Pythagoras theorem calculate the height h

$h^{2}=5^{2}-3^{2}$

$h^{2}=16$

$h=4\ ft$

substitute the value of h to find the area

$A=2[\frac{1}{2}(8+2)(4)]=40\ ft^{2}$

The exterior surface area is equal to

$120\ ft^{2}+40\ ft^{2}=160\ ft^{2}$

Part b) Find the volume

We know that

The volume is equal to

$V=BL$

where

B is the area of the trapezoidal face

L is the length of the trough

we have

$B=20\ ft^{2}$

$L=12\ ft$

substitute

$V=20(12)=240\ ft^{3}$

Part c)

step 1

Calculate the area of the trapezoid for h=2 ft (the half)

the length of the midsegment of the trapezoid is (8+2)/2=5 ft

$A=\frac{1}{2}(5+2)(2)=7\ ft^{2}$

step 2

Find the volume

The volume is equal to

$V=BL$

where

B is the area of the trapezoidal face

L is the length of the trough

we have

$B=7\ ft^{2}$

$L=12\ ft$

substitute

$V=7(12)=84\ ft^{3}$

4 0

2 years ago

After 8 years a loan grows to $75 210. If the interest was compounded annually at a rate of 8.5%, find the size of the initial l

stealth61 [152]

Given:
Future Value = $75,210
term = 8 years
rate = 8.5%
Initial loan = ?

In this case, we need to find the present value of the loan. Compounded means that even the interest has an interest.

PV = FV / (1 + i)^n

PV = 75,210 / (1 + 0.085)⁸

PV = 75,210 / (1.085)⁸

PV = 75,210 / 1.9206

PV = 39,159.64

Initial loan is $39,159.64
total interest is $75,210 - 39,159.64 = $36,050.36

3 0

2 years ago

oshua tracks the points he scores in 10 basketball games. In two games Joshua scored 8 points each, in one game he scored 3 poin

Anna71 [15]

I believe the answer would be 4.2.

Add all the points together and divide by 10

3 0

2 years ago

S is the centroid of triangle XYZ. What is the length of SW? 5 units 11 units 22 units 28 units

Novay_Z [31]

11 units is the correct answer to this question.

3 0

2 years ago

Read 2 more answers

The figure below shows a parallelogram ABCD. Side AB is parallel to side DC and side AD is parallel to side BC: A quadrilateral

il63 [147K]

The postulate that is used in order to prove the congruency of the triangles is the ASA which means (Angle – Side – Angle). The property that is applicable for the congruency of DB to itself is the reflexive property. Therefore, the answer to this item is the second choice.
Hope I helped! :)

6 0

2 years ago

Read 2 more answers