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Arte-miy333 [17]
3 years ago
6

A box containing 10 physics textbooks and 3 physics workbooks weighs 50.1 pounds. A box containing 8 physics textbooks and 12 ph

ysics workbooks weighs 51.9 pounds. The weight of each box when empty is 1.5 pounds. So how many does each textbook and each workbook weigh? Explain how u solved this problem.
Mathematics
1 answer:
Degger [83]3 years ago
5 0
10x + 3y + 1,5 = 50,1 * (- 4) ⇒ -40x-12y-6 = -200,4
<span>8x + 12y + 1,5 = 51,9
combine
8x-40x+12y-12y+1.5-6=51.9-200.4  *(-1)</span>⇔
<span>32x+4.5=148.5
32x=148.5-4.5
x=</span><span>144/32
</span>x=4.5 (<span>textbook)
</span><span>10*4.5+3y+1.5=50.1
3y+46.5=50.1
3y=3.6
y=1.2 (</span><span>workbook)</span>

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6 0
3 years ago
If you earn $3250 per month and you expect your earnings to increase by 2.2% per year, how much do you think you will be making
zysi [14]

<u>Answer:</u> $42546.9 will be the earning in 4 years.

<u>Step-by-step explanation:</u>

The equation for compound interest follows:

A=P(1+\frac{r}{100})^n

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A = total amount

P = Principle amount

r =  rate of interest

n = number of years

We are given:

Earnings earned per month = $3250

Earnings earned per year = ($3250 × 12) = $39000

The values become:

P=\$39000\\r=2.2\%\\n=4yrs

Putting values in above equation, we get:

A=39000(1+\frac{2.2}{100})^4\\\\A=\$ 42546.9

Hence, $42546.9 will be the earning in 4 years.

4 0
3 years ago
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PIT_PIT [208]
H=P/mg is the solution
8 0
3 years ago
Read 2 more answers
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grigory [225]

Slope-intercept form:  y = mx + b  [m is the slope, b is the y-intercept or the y value when x = 0 ---> (0, y) or the point where the line crosses through the y-axis]

To find the slope, use the slope formula (m):

m=\frac{y_2-y_1}{x_2-x_1}       and plug in the two points

(6, 8) = (x₁, y₁)

(9, 6) = (x₂, y₂)

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{6-8}{9-6}

m=\frac{-2}{3}      Now that you found the slope, plug it into the equation

y = mx + b

y=-\frac{2}{3} x+b       To find b, plug in one of the points, I will use (6, 8)

8=-\frac{2}{3} (6)+b

8 = -4 + b    Add 4 on both sides

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Answer:

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Step-by-step explanation:

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Therefore, Total or sum = Average × number of items

For Mason,

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For Rosa,

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Total birds = 21 × 16

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Difference between the total number of birds for Mason and Rosa

= 360 - 336

= 24 birds

8 0
3 years ago
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