3 positive integers numbers that add up to 10 <br> Help please

posledela

Hello!

You can put 3 in for x and see which on is true
-----------------------------------------------------------------------------------------------------------------
Inequality A

6(3) + 18 < 30

Multiply

18 + 18 < 30

Add

36 < 30

This is not true so this is not the answer
------------------------------------------------------------------------------------------------------
Inequality B

8(3) - 4 < 10

Multiply

24 - 4 < 10

Subtract

20 < 10

This is not true so this is not the answer
------------------------------------------------------------------------------------------------------
Inequality C

10(3) + 10 < 37

Multiply

30 + 10 < 37

Add

40 < 37

This is not true so this is not the answer
------------------------------------------------------------------------------------------------------
Inequality D

15(3) - 10 < 40

Multiply

45 - 10 < 40

Subtract

35 < 40

This is true so this is the answer
------------------------------------------------------------------------------------------------------
The answer is D) 15x - 10 < 40

Hope this helps!

3 0

3 years ago

Identify the Formula for finding the nth term of an Arithmetic Sequence, where A(n) is the nth term of an Arithmetic Sequence, a

Karolina [17]

The answer is letter c. If we talked about arithmetic sequence it has the explicit formula: A(n)= a+(n-1)d. So it showed in the choices that letter c has the correct formula for arithmetic sequence. It is the only formula if you are going to find nth term of an arithmetic sequence.

5 0

3 years ago

. A clothing manufacturer needs 2.4 yards of fabric to make a coat and 1.6 yards of fabric to make a matching crop pants.

Sedaia [141]

Convert to an equation y in terms of x:
Y = (-2.4x + 48)/1.6
X Intercept is where y = 0
0 = -2.4x/1.6 + 48/1.6
X = 20

Y intercept is where x = 0
Y = (-2.4*0)/1.6 + 48/1.6
Y = 30

X and y are how coats and pants are made respectfully so the x intercept is where y = 0, meaning no pants are made, only jackets. The y intercept is the opposite, it’s how many pants can be made if no jackets are made.

4 0

2 years ago

What percent of 60 is 12? Show your work. Is this wrong or right. 60/100 = 0.6*12 7.2% or do i removes the .2 off the percentage

Troyanec [42]

You don't just go removing numbers here and there without a good reason. In any case, your whole approach here is wrong. You're calculating 60 percent of 12. But the question says to take 12 out of a group of 60 and tell what percent of the group you have. That's (12/60) x 100.

5 0

3 years ago

A container in the shape of a square-based prism has a volume of 2744 cm'. What dimensions give the

Vinvika [58]

Answer:

The dimensions that give the minimum surface area are:

Length = 14cm

width = 14cm

height = 14cm

And the minimum surface is:

S = 1,176 cm^2

Step-by-step explanation:

A regular rectangular prism has the measures: length L, width W and height H.

The volume of this prism is:

V = L*W*H

The surface of this prism is:

S = 2*(L*W + H*L + H*W)

If the base of the prism is a square, then we have L = W

Then the equations become:

V = L*L*H = L^2*H

S = 2*(L^2 + 2*H*L)

We know that the volume of the figure is 2744 cm^3

Then:

V = 2744 cm^3 = H*(L^2)

In this equation, we can isolate H.

H = (2744 cm^3)/(L^2)

Now we can replace this on the surface equation:

S = 2*(L^2 + 2*L* (2744 cm^3)/(L^2))

S = 2*L^2 + 4(2744 cm^3)/L

Now we want to minimize the surface area, then we need to find the zeros of the first derivative of S.

S' = 2*(2*L) - 4*(2744 cm^3)/L^2

This is equal to zero when:

0 = 2*(2*L) - 4*(2744 cm^3)/L^2

0 = 4*L*L^2 - 4*(2744 cm^3)

4*(2744 cm^3) = 4*L^3

2744 cm^3 = L^3

∛(2744 cm^3) = L = 14cm

Then the length of the base that minimizes the surface is L = 14.

Then we have:

H = (2744 cm^3)/(L^2) = (2744 cm^3)/(14cm)^2 = 14cm

Then the surface is:

S = 2*(L^2 + 2*L*H) = 2*( (14cm)^2 + 2*(14cm)*(14cm)) = 1,176 cm^2

8 0

3 years ago

3 positive integers numbers that add up to 10 Help please