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Free_Kalibri [48]
3 years ago
9

The two

Mathematics
1 answer:
taurus [48]3 years ago
5 0

Answer:

x = 5

Step-by-step explanation:

Sides of large triangle: 4x and 15

Corresponding sides of small triangle: 3x + 1 and 12

\dfrac{4x}{15} = \dfrac{3x + 1}{12}

60 \times \dfrac{4x}{15} = 60 \times \dfrac{3x + 1}{12}

16x = 15x + 5

x = 5

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Ms. Lang lives in​ Lansing, Michigan. Last​ year, she made 4 round trips to​ Chicago, Illinois​ (a distance of 218 miles each​ w
Anit [1.1K]

Answer:

1312 miles

Step-by-step explanation:

To solve this, we simply need to subtract the distance she traveled in her trips to Chicago from the distance she traveled in her trips to Louisville.

She made 4 round trips to​ Chicago, Illinois​. Each of the trips is a distance of 218 miles. This means that the total distance she traveled is:

4 * 218 = 872 miles

She made 6 round trips to​ Louisville, Kentucky​/ Each of the trips is a distance of 364 miles. This means that the total distance she traveled is:

6 * 364 = 2184 miles

Therefore, the difference between the distances she traveled is:

2184 - 872 = 1312 miles

She traveled 1312 miles more in her trips to Louisville than in her trips to Chicago.

4 0
3 years ago
Si 2/3 partes de un capital producen $3.300 de interés en 7 meses y 10 días al 24%anual ¿Cuál es el valor del mencionado capital
miv72 [106K]

Respuesta:

33750

Explicación paso a paso:

Dejar :

Capital total = x

Principal = Inversión = 2 / 3x

Interés, = 3300

Periodo = 7 meses, 10 días = (7 * 30 + 10) = 220 días = 220/360

Tasa, r = 24% = 0. 24

Recordar :

Interés = principal * tasa * período

3300 = 2 / 3x * 0,24 * (220/360)

3300 = 0.0977777x

x = 3300 / 0,0977777

x = 33750

6 0
3 years ago
How much would you pay today to receive $50 in one year and $60 in the second year if you can earn 15 percent interest on altern
Andrej [43]

The present value of an income of $60 in 2 years and $50 in 1 year at an interest rate of 15% can be computed as ...

... ($60/1.15 +$50)/1.15 = $88.85

_____

The present value (PV) of an amount (A) received 1 year from now earning annual interest rate r is ...

... PV = A/(1 +r)

For a sequence of non-uniform payments, we can work backward through the years as we did above.

4 0
3 years ago
What is the value of the expression shown below? 3 over 5 to the power of 2 + 4 × 3 − 2 10 and 9 over 25 11 and 2 over 25 12 and
Pani-rosa [81]
You I think it's what the guy said
4 0
3 years ago
A builder could get 9 sheets of Sheetrock for $20. If he bought 15 sheets, how much money would he have spent?
lora16 [44]
$33.33

20/9 = $2.22 per sheet
$2.22*15 = $33.33
4 0
3 years ago
Read 2 more answers
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