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3 years ago

9

who spends 2/3 of his money on a video game before spending half of his remaining money on lunch if his lunch cost $10 how much

money did he have at first

2 answers:

romanna [79]3 years ago

7 0

2/3 on video games

1/3 left

1/3 x 1/2 = 10 (half of 1/3 is $10)

= 1/6 of the whole

1/6 x 10 = 60

Therefore, you have $60 at first

finlep [7]3 years ago

3 0

We have to work backwards for this. Since his lunch came at $10 and it says half of his remaining money, this means that $10 was half and the real value was $20. Now since he spent 2/3 of his money on video games, this means that $20 is only 1/3 of that, so we multiply by 3 and we get the original amount of $60.

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What is the base of a triangle with a height of 14 cm and an area of 42 square cm?

sasho [114]

Answer:

$6cm$

Step-by-step explanation:

$area = \frac{1}{2} \times base \times height \\ 42 = \frac{1}{2} \times b \times 14 \\ 42 = \frac{14b}{2} \\ 42 = 7b \\ \frac{42}{7} = \frac{7b}{7} \\ base = 6cm$

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em>

5 0

3 years ago

Read 2 more answers

Three consecutive odd integers have a sum of 27. Find the integers.

jek_recluse [69]

$\sf \bf {\boxed {\mathbb {GIVEN:}}}$

Sum of three consecutive odd integers = $27$

$\sf \bf {\boxed {\mathbb {TO\:FIND:}}}$

The values of the three integers.

$\sf \bf {\boxed {\mathbb {SOLUTION:}}}$

$\sf\purple{The\:three\:consecutive \:odd\:integers\:are\:7,\:9\:and\:11.}$

$\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}$

Let us assume the three consecutive odd integers to be $x$ , $(x+2)$ and $(x+4)$ .

As per the condition, we have

$Sum \: \: of \: \: the \: \: three \: \: consecutive \: \: odd \: \: integers = 27$

$➺ \: x + (x + 2) + (x + 4) = 27$

$➺ \: x + x + 2 + x + 4 = 27$

Now, collect the like terms.

$➺ \: (x + x + x) + (2 + 4) = 27$

$➺ \: 3x + 6 = 27$

$➺ \: 3x = 27 - 6$

$➺ \: 3x = 21$

$➺ \: x = \frac{21}{3} \\$

$➺ \: x = 7$

Therefore, the three consecutive odd integers whose sum is $27$ are $\boxed{ 7 }$ , $\boxed{ 9 }$ and $\boxed{ 11 }$ respectively.

$\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}$

$⇢ 7 + 9 + 11 = 27$

$⇢ 27 = 27$

⇢ L. H. S. = R. H. S.

$\sf\blue{Hence\:verified.}$

$\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}$

4 0

3 years ago

The cost to rent a paddle boat at the county park is $8 per hour plus a nonrefundable deposit of $10. The cost can be modeled by

Agata [3.3K]

Answer:

ok fine

Step-by-step explanation:

7 0

3 years ago

A used book store buys a hardback book for $1.50 and then sells it for $5. Over time, the store sells the same number of books i

dybincka [34]

A used book store buys a hardback book for $1.50 and then sells it for $5. Over time, the store sells the same number of books it buys. The store manager can use the equation P(x)=5x−1.5x to determine the store's profit, P(x), where x is the number of books that the store sells. Which statement about the book store is true based on the profit equation?

Cost Price of book, C.P.=$1.50

Selling Price of book, S.P.=$5

PROFIT=S.P. -C.P.

So, Profit=$5-$1.50=$3.50

So, Profit=$3.50 on each book

Or, we are given P(x)= 5x-1.50x

Or, P(x)=3.50x

For each book, we must divide the profit P(x) by x, that is, number of books

$\frac{P(x)}{x}=\frac{3.5x}{x}$

$\frac{P(x)}{x}=\frac{3.5*1}{1}$

$\frac{P(x)}{x}=3.5$

So, Profit for each book sold is $3.50

Answer:Option C

8 0

3 years ago

Help me with this plz

liberstina [14]

1/2 * 1/4 = 1/8
3/8 * 2/3 = 1/4 same for back left fin
2/5 *1/2 = 1/5
2/3 *1/2 = 1/3
1/4 + 3/4 = 8/8
2/3 +1/6 = 5/6
4/5 +1/5 = 4/4
1/4 +1/5 = 9/20
front/back right fin = 3/8
x+ 1 2/3..... = 4/5

8 0

3 years ago