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3 years ago

What letter comes next in this pattern A,F,L,S

1 answer:

7 0

The next letter should be A again. From the pattern, we see that after A, there are 4 letters to F, then 5 letters to L, then 6 letters to S, so the next letter should be 7 letters after S, which loops back to A.

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Maria had $22 to spend on five pencils. After buying them she had $12. How much did each pencil cost?

NemiM [27]

Answer:

Step-by-step explanation:

Equation: 22 = 5x +12

22-12 = 5x

10 = 5x

2 = x or x = 2 (whichever)

5 0

2 years ago

What is the inch equivalent of 32.5 mm to the nearest 0.0001

zmey [24]

<span>3.25 mm = 3.25 cm, 30 cm = 12 inches. So, 12/30 x 3.25 = 1.3</span>

3 0

4 years ago

Read 2 more answers

Is this function linear , quadratic, or exponential?

ElenaW [278]

Answer:

LINEAR

Step-by-step explanation:

Look at the y-values. As x increases, y increases each time by 9 units.

This indicates an arithmetic progression. The function is LINEAR.

7 0

3 years ago

A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the

Stells [14]

Answer:

$\frac{5}{3}$ in

Step-by-step explanation:

Let x be the side of square.

Length of box=8-2x

Width of box=15-2x

Height of box=x

Volume of box= $L\times B\times H$

Substitute the values then we get

Volume of box=V(x)= $(8-2x)(15-2x)x=(15x-2x^2)(8-2x)$

$V(x)=120x-30x^2-16x^2+4x^3$

$V(x)=4x^3-46x^2+120x$

Differentiate w.r.t x

$V'(x)=12x^2-92x+120$

$V'(x)=0$

$12x^2-92x+120=0$

$3x^2-23x+30=0$

$3x^2-18x-5x+30=0$

$3x(x-6)-5(x-6)=0$

$(x-6)(3x-5)=0$

$x-6=0\implies x=6$

$3x-5=0\implies x=\frac{5}{3}$

Again differentiate w.r.t x

$V''(x)=24x-92$

Substitute x=6

$V''(6)=24(6)-92=52>0$

Substitute x=5/3

$V''(5/3)=24(5/3)-92=-52$

Hence, the volume is maximum at x= $\frac{5}{3}$

Therefore, the side of the square , $x=\frac{5}{3}$ in cutout that gives the box the largest possible volume.

5 0

3 years ago

Devon earns 9% commission as a salesperson. She sold a refrigerator that cost $960.51. How much commission did Devon earn?

const2013 [10]

Answer:

Devon earned $86.45

Step-by-step explanation:

first, we know that the final price is 960.51 and we know that devon only gets 9% of that.

so we just need to multiply the final price by the percentage

960.51 x 9% = 86.445

then we round up to 86.45

8 0

2 years ago

Read 2 more answers