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4 years ago

What are the factors for 51

Mathematics

1 answer:

faust18 [17]4 years ago

5 0

Answer:

1, 3, 17, 51

Step-by-step explanation:

1 X 51 = 51

3 X 17 = 51

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Jasper has an annual salary of $71000 and his company pays him twice a month. What is the gross income per paycheck that Jasper

Sliva [168]

Answer:

$2,958.33

Step-by-step explanation:

Jasper's annual salary is $71000.

Considering that a year has 12 months and that he gets a paycheck twice each month, the total number of paychecks (P) Jasper gets each year is:

$P = 12*2 = 24$

To define Jasper's gross income per paycheck (I), simply divide his annual salary by the number of paychecks in a year:

$I=\frac{\$ 71,000}{24} \\I=\$ 2,958.33$

Jasper's gross income per paycheck is $2,958.33.

3 0

3 years ago

An electric bulb is sold in a box measuring 5 cm by 4 cm by 4 cm. If the shopkeeper receives them in a carton measuring 50 cm by

katen-ka-za [31]

Answer:

250

Step-by-step explanation:

Bulb box and carton both are of cuboidal shape.

For bulb box the dimensions are:

l = 5 cm, w = 4 cm, h = 4 cm

$V_{Bulb\: box} =lwh$

$\implies V_{Bulb\: box} =5(4)(4)$

$\implies V_{Bulb\: box} =80\: cm^3$

For Carton the dimensions are:

l = 50 cm, w = 20 cm, h = 20 cm

$V_{Carton} =lwh$

$\implies V_{Carton} =50(20)(20)$

$\implies V_{Bulb\: box} =20,000\: cm^3$

To find the number of bulbs packed in the carton, divide the $V_{Carton}$ by $V_{Bulb\: box}$

$Number \:of \:bulbs =\frac{V_{Carton}}{V_{Bulb\: box}}$

$\implies Number \:of \:bulbs =\frac{20,000}{80}$

$\implies Number \:of \:bulbs = 250$

So, 250 bulbs will be packed in one carton.

3 0

2 years ago

Grandma has just finished baking a large rectangular pan of brownies. She is planning to make rectangular pieces of equal size a

Nikitich [7]

Answer: 60

Step-by-step explanation:

Let the side lengths of the rectangular pan be m and n. It follows that (m-2) (n-2)= $mn/2$

So, since haf of the brownie pieces are in the interior. This gives 2 (m-2) (n-2) =mn

mn- 2m - 2n- 4 = 0

Then Adding 8 to both sides and applying, we obtain (m-2) (n-2) =8

Since now, m and n are both positive, we obtain (m,n) = (5,12), (6,8) (up to ordering). By inspection, 5. 12 = 60

which maximizes the number of brownies in total which is the greatest number.

Hope that helped! =)

7 0

3 years ago

LAY

marta [7]

Answer:

Step-by-step explanation:

how long is the ball in the air ?

that is the same as asking : after how many seconds will the ball hit the ground (= reach the height of 0) ?

so, that means we need to find the zero solution of h(t).

at what t is h(t) = 0 ?

when at least one of the factors is 0 :

2(-2 - 4t)(2t - 5)

we have 3 factors

2 : can never be 0.

(-2 -4t) : can only be 0 for negative t, which does not make sense in our scenario (we cannot go back in time, only forward).

(2t - 5) : is 0 when 2t = 5 or t = 2.5

so, A is the right answer.

FYI : the starting height (on the hill) is given by t = 0 :

2(-2 - 0)(0 - 5) = 2×-2×-5 = 20 ft

3 0

2 years ago

How do you solve ? 2(x−(3+2x)+9)=3x−8

PIT_PIT [208]

Hey there!!

Given equation :

... 2 ( x - ( 3 + 2x ) + 9 ) = 3x - 8

Using the distributive property.

... 2 ( x - 3 - 2x + 9 ) = 3x - 8

... 2 ( -x + 6 ) = 3x - 8

Using the distributive property.

... -2x + 12 = 3x - 8

Subtracting 12 on both sides.

... -2x = 3x - 8 - 12

... -2x = 3x - 20

Subtracting 3x on both sides.

... -2x - 3x = -20

... -5x = -20

Dividing by -5 on both sides.

... x = -20 / -5

... x = 4

Hence, the answer is 4.

Hope my answer helps!

6 0

3 years ago