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2 years ago

The following situation applies to questions 2-5.

Mathematics

1 answer:

vivado [14]2 years ago

6 0

Answer:

7c + 668 > 2000

Step-by-step explanation:

Given that :

Target = more than. 2000 food cans

Amount already collected = 668 food cans

Food can remaining to collect per day within 7 days = 2000 - 668

Let number of cans left to collect per day with 7 days = c

7 * c + cans already collected > target

7c + 668 > 2000

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Please help, very confused

miss Akunina [59]

Answer:

-3x + 8y = -5

6x + 2y = -8

Set the equations to a common variable.

-3x + 8y = -5 → 8y = 3x - 5 → y = 3/8x - 5/8

6x + 2y = -8 → 2y = -6x - 8 → y = -3x - 4

Set the equations equal to each other.

3/8x - 5/8 = -3x - 4

Combine like terms.

3x + 3/8x = -4 + 5/8

3.375x = -3.375

Divide by 3.375

x = -1

Plug x back in to find y.

-3x + 8y = -5

-3(-1) + 8y = -5

3 + 8y = -5

8y = -8

y = -1

answer: (-1, -1)

3x + 2y = -16

-3x - 8y = 46

Set the equations to a common variable.

3x + 2y = -16 → 2y = -3x - 16 → y = -3/2x - 8

-3x - 8y = 46 → -8y = 3x + 46 → y = -3/8x - 23/4

Set the equations equal to each other.

-3/2x - 8 = -3/8x - 23/4

Combine like terms.

-9/8x = 9/4

-1.125x = 2.25

Divide by -1.125

x = -2

Plug x back in to find y.

3(-2) + 2y = -16

-6 + 2y = -16

2y = -10

y = -5

answer: (-2, -5)

6 0

3 years ago

Read 2 more answers

. Parallelogram ABCD,

anastassius [24]

Diagram not attached, please add the question.

8 0

3 years ago

A person borrows $50000 loan from bank at a rate of 10% for 5 years compounded yearly.

Hatshy [7]

<h3>Given:</h3>

P= $50,000
R= 10%
T= 5 years

P= Principal amount
R= Rate of interest
T= Time period

<h3>Solution:</h3>

$\large\boxed{Formula: A= P(1+ \frac{R}{100}{)}^{T}}$

Let's substitute according to the formula.

$A= 50000(1+ \frac{10}{100}{)}^{5}$

A= $80525.5

Now, we can find the interest paid

$\large\boxed{I= A-P}$

We'll have to deduct the total amount from the principal amount.

Let's substitute according to the formula.

$I= 80525.5-50000$

I= $30525.5

Hence, the total amount paid after 5 years is $80525.5 and $30525.5 was paid as interest.

7 0

2 years ago

One month Yoko rented 3 movies and 5 video games for a total of $40. The next month she rented 9 movies and 7 video games for a

KATRIN_1 [288]

Answer:

movie: $3.75
video game: $5.75

Step-by-step explanation:

Two equations in two unknowns can be written:

3m +5v = 40

9m +7v = 74

These can be solved a variety of ways. One of them is using Cramer's rule. It tells you the solution to

ax +by = c
dx +ey = f

is given by ...

∆ = bd -ea
x = (bf -ec)/∆
y = (cd -fa)/∆

For the numbers above,

∆ = 5·9 -7·3 = 24
m = (5·74 -7·40)/24 = 90/24 = 3.75
v = (40·9 -74·3)/24 = 138/24 = 5.75

The rental cost for each movie is $3.75; for each video game, it is $5.75.

___

The attached graph shows a graphing calculator solution to these equations.

5 0

3 years ago

Before beginning voice lessons, Wanda already knew how to sing 19 pieces, and she expects to learn 1 new piece during each week

irakobra [83]

Answer:

19+12 = 31 pieces

Step-by-step explanation:

4 0

3 years ago