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zloy xaker [14]
3 years ago
5

Simon and Greg shared pencils in the ratio 7:5. If Simon gives away 30 pencils and Greg gets 30 more pencils, they will have the

same number of pencils. How many did each of them have in the beginning?
Mathematics
1 answer:
Marrrta [24]3 years ago
4 0
S/g=7/5, s=7g/5

s=g  if  s-30=g+30  using s found above...

7g/5 -30=g+30

(7g-150)/5=g+30

7g-150=5g+150

2g=300

g=150, and since s=7g/5, s=210

So Simon started with 210 pencils and Greg started with 150 pencils.


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How do you write y+1=4/5(x-3) in standard form?
Rudik [331]

Answer:

The standard form of the given expression is - (\frac{4}{5})x + y +  (\frac{17}{5})   = 0

Step-by-step explanation:

Here, the given expression is  y + 1 = \frac{4}{5}  (x-3)

Now, the Standard Form of the equation is ax + by + c = 0

Solving this, we get:

y + 1 = \frac{4}{5}  (x-3)  \implies y + 1 = (\frac{4}{5})x  - \frac{12}{5}

⇒y + 1   - (\frac{4}{5})x + (\frac{12}{5})  = 0

or, y  - (\frac{4}{5})x + (\frac{12}{5}  + 1 )= 0  \implies y  - (\frac{4}{5})x + (\frac{12+ 5}{5})   = 0

⇒y  - (\frac{4}{5})x + (\frac{17}{5})   = 0

Hence, the standard form of the given expression is - (\frac{4}{5})x + y + (\frac{17}{5})   = 0

7 0
4 years ago
If the shadow of a tree is 14 m long and the shadow of a person who is 1.8 m tall is 4 m long, how tall is the tree?
tigry1 [53]
Ratio and proportion

real:shadow

so the person is 1.8m but the shadow is 4m
so
real:shadow=1.8:4

so
1.8:4=?:14
1.8/4=?/14
times both sides by 14
25.2/4=?
6.3=?

the tree is 6.3 m tall
8 0
3 years ago
A debt of $9,388.81 is repaid by payments of $1,160.62 in 4 months, $1,178.29 in 13 months, and a final payment in 23 months. If
____ [38]

Answer:

after 4 months $8352.96

AFTER 13 MONTH $7426.507

AFTER 23 MONTH A = 7675.69

Step-by-step explanation:

Given data:

P = $9388.81

Compound interest cab be determined as

A = P( 1+ r/n)^(nt)

after 4 months

A = 9388.81 ( 1+ \frac{4}{100})^{2\times \frac{4}{12}}

A = 9513.58

But he has to pay $1160.62 after 4 month so remaining amount is

P = 9513.58 - 1160.62 = $8352.96

AFTER 13 MONTH, so total time is 9 month

A = 8352.96 ( 1+ \frac{4}{100})^{2\times \frac{9}{12}}

A = 8604.79

But he has to pay $1178.29 after 13 month so remaining amount is

P = 8604.79 - 1178.28 = $7426.507

AFTER 23 MONTH so total time is 10 month

A = 7426.50 ( 1+ \frac{4}{100})^{2\times \frac{10}{12}}

A = 7675.69

4 0
3 years ago
Help me out, please :}
grandymaker [24]

Answer:

sorry in advance!

1,3?

Step-by-step explanation:

3 0
3 years ago
Suppose you invest $200 a month for 7 years into an account earning 9% compounded monthly. After 7 years, you leave the money, w
never [62]

Answer:

$172,806.37.

Step-by-step explanation:

Total = [ P(1+r/n)^(nt) ] + [ PMT × (((1 + r/n)^(nt) - 1) / (r/n)) ] * (1 + r/n)

is the formula  for the amount left after the first 7 years where the money is deposited at the beginning of each month and P = initial amount,  PMT = monthly payment, r = rate as a decimal and t = time in years.

Total after the first 7 years

=  [ 200(1+0.09/12)^(7*12) ] + [ 200 × (((1 + 009/12)^(7*12) - 1) / (0/09/12) ] * (1 + 0.09/12)

= 374.64 +  (200 * 0.8732019633) / (0.09/12) * (1 + 0.09/12)

= 374.64 + 23485.386 * 1.0075

= $24.036.17

Total after a further 22 years:-

=  24.036.17(1 + 0.09/12)^(12*22)

=  $172,806.37 (answer).

3 0
4 years ago
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