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2 years ago

Help for brainliest answer

Mathematics

1 answer:

Morgarella [4.7K]2 years ago

6 0

Answer:

a) 32

b) $7+(n-1)\times 5$

Step-by-step Explanation:

Initial pattern has 7 sticks.

Second one has 7+5 sticks.

Third has 7+5+5 sticks.

Sixth has 7+5+5+5+5+5=32 sticks.

$n^{th}$ has $7+ 5(n-1)$ sticks.

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A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 2 small boxes has a t

nikdorinn [45]

Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.

Step-by-step explanation:

Let,

Weight of large box = x

Weight of small box = y

According to given statement;

5x+2y=102 Eqn 1

3x+8y=153 Eqn 2

Multiyplying Eqn 1 by 4

$4(5x+2y=102)\\20x+8y=408\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(20x+8y)-(3x+8y)=408-153\\20x+8y-3x-8y=255\\17x=255$

Dividing both sides by 17

$\frac{17x}{17}=\frac{255}{17}\\x=15$

Putting x=15 in Eqn 2

$15(3)+8y=153\\45+8y=153\\8y=153-45\\8y=108$

Dividing both sides by 8

$\frac{8y}{8}=\frac{108}{8}\\y=13.5$

Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

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3 years ago

Logan wants to have $130,000 to pay for a surgery on his retractable forearm claws in 30 months. If he can invest money in an ac

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Answer: $107,836.69 or about $107,837 (to the nearest dollar)

Step-by-step explanation:

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$A=P(1+\dfrac{r}{12})^{t}$

As per given , A = $130,000

r= 7.5% = 0.075

t= 30 months

Now,

$130000=P(1+\dfrac{0.075}{12})^{30}\\\\\Rightarrow 130000=P(1+0.00625)^{30}\\\\\Rightarrow 130000=P(1.00625)^{30}\\\\\Rightarrow 130000=P \times1.20552661036\\\\\Rightarrow\ P=\dfrac{130000}{1.2055266}=107,836.69$

Hence he need to invest $107,836.69 .

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3 years ago

Make a the subject of the formula<br> V= u+ at

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V=u + at
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1 year ago