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Mrac [35]
3 years ago
9

Joe and Ben are saving money for a new x-box game. Joe has saved $15.00 in 2 weeks and $37.50 in 5 weeks. Ben's savings are repr

esented by the equation
y=8.25x
y=8.25x
.
Find the difference in their savings each week?
Mathematics
1 answer:
ivanzaharov [21]3 years ago
5 0

Answer:

37.50/5 = $7.50/week

so the difference is 8.25-7.50 = $0.75/week

Step-by-step explanation:

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The expression 32−48 factored using the GCF is???
S_A_V [24]
GCF of 32 and 48 = 16

32 - 48
16(2 - 3) <==
7 0
3 years ago
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-4x-5y-z=18<br> -2x-5y-2z=12<br> -2x+5y+2z=4
arsen [322]

Answer:7

7

Step-by-step explanation:

6 0
3 years ago
How many rulers of 12-inches are needed to measure a door awnser
Fudgin [204]
<span>the dimensions of a door are variable, for effects of this problem we will assume a door height of 210 cm and a door width of 80 cm

Step 1
</span><span>convert the dimensions of the door in cm to inches
</span>we know that
1 in-------------> 2.54 cm
X----------------> 210 cm
X=210/2.54=82.67 in (height)

1 in-------------> 2.54 cm
X----------------> 80 cm
X=80/2.54=31.50 in (width)

the dimensions of a door are 31.50 in x 82.67 in

Step 2
calculate the amount of rules of 12-inches necessary to measure the height of the door
82.67 in (height)
if one rule-------------> measure 12 in
X----------------------> 82.67 in
X=82.67/12=6.8-----------> 7 rules

Step 3
calculate the amount of rules of 12-inches necessary to measure the width of the door
31.50 in (width)
if one rule-------------> measure 12 in
X----------------------> 31.50 in
X=31.50/12=6.8-----------> 2.62 ------------> 3 rules

the answer is 
to measure a door are needed about 7 rules of 12-inches for the height and about 3 rules of 12-inches for the width
7 0
3 years ago
Factor completely 10x2 + 2x − 8
liq [111]
First, notice every term has a common factor of 2, so factor out a 2.

10x^2 + 2x - 8 =

= 2(5x^2 + x - 4)

Now we need two numbers that multiply to 5 and two numbers that multiply to -4.
For the 5, it is a single possibility, 5 and 1, so we will have

= 2(5x~~~~~~)(x~~~~~~)

Pairs of numbers that multiply to -4 are:
-4, 1
4, -1
2, -2

We need to choose the correct pair and place it in the correct order.
To do that, we place the numbers as guesses and multiply out the factors to see if we get the correct middle term.

First guess: -4, 1

= 2(5x - 4)(x + 1)

The middle term would be: 5x - 4x = x, which is what we want, so we lucked out and we have the answer with just one guess.

Answer: 10x^2 + 2x - 8 = 2(5x - 4)(x + 1)
4 0
3 years ago
Find the sum of the convergent series. sigma_n = 1^infinity 12/n(n + 2)
Sindrei [870]

Looks like the series is

\displaystyle\sum_{n=1}^\infty \frac{12}{n(n+2)}

Split up the summand into partial fractions:

\dfrac{12}{n(n+2)}=\dfrac6n-\dfrac6{n+2}

The series has <em>k</em>th partial sum

S_k=\displaystyle\sum_{n=1}^k\frac{12}{n(n+2)}

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Several intermediate terms cancel to leave us with

S_k=6+3-\dfrac6{k+1}-\dfrac6{k+2}

As k\to\infty, the last two terms converge to 0, so that

\displaystyle\lim_{k\to\infty}S_k=\sum_{n=1}^\infty\frac{12}{n(n+2)}=\boxed{9}

6 0
2 years ago
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