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AlladinOne [14]
3 years ago
12

(a)It takes 51

Mathematics
1 answer:
never [62]3 years ago
4 0

a) Given :

51 pounds of seed  can be planted in = 9 acre field.

Per pound of seed = \frac{9 \ acre}{51 \ pounds \ of \ seed}

We can convert 9/51 in simplest fraction by dividing top and bottom by 3.

We get

\frac{9/3}{51/3}=\frac{3}{17}

<h3>Therefore, 3/17 of an acrs can be planted per pound of seed.</h3>

b) $10 amount = 16 pounds of sugar.

$1 amount = 16/10 = 1.6 pounds of sugar.

<h3>Therefore, 1.6 pounds of sugar she got per dollar.</h3>
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4 years ago
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Find the area of the
Flura [38]

Answer:

54.88 in^2

Step-by-step explanation:

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9.8*5.6 = 54.88 in^2

6 0
3 years ago
Diagram 5 shows a triangle ABD such that AD = 17 cm, AB = 10 cm and BD = 21 cm. The straight line AC is perpendicular to the str
OlgaM077 [116]

Answer:

8

Step-by-step explanation:

100 = x^2 + AC^2

17^2 = AC^2 + (21 - x)^2

289 = AC^2 + 21^2 + x^2 - 2*21*x

289 =<u> AC^2</u> + 441 +<u> x^2</u> - 42x

from 1st equation AC^2 + x^2 = 100

289 = 441 + 100 - 42x

289 = 541 - 42x

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7 0
3 years ago
If the present value of my investment is $8,000 and the rate of interest is 12% compounded annually, what will the value be afte
Dvinal [7]

Answer:

$17,685.45

Step-by-step explanation:

We will use the compound interest formula to solve this:

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

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

The first step is to change 12% into a decimal:

12% -> \frac{12}{100} -> 0.12

Next, lets plug in the values:

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A=17,685.45

After 7 years, you will have $17,685.45

4 0
3 years ago
Al sumar un número entero con el doble de su sucesor, se obtiene un total de 44. ¿De qué número se está hablando?
Vlad [161]
Basado en lo que nos dieron en la pregunta podemos decir que:
1) x sea un numero entero 
2)x+1 sea el numero sucesor del anterior
3) los dos seran sumados y el total de la suma es 44
4) el numero sucesor es multiplicado por dos antes de ser sumado con el numero entero


Entonces tenemos:
x+2(x+1)=44 \\ x+2x+2=44 \\ 3x=42 \\ x=14

En este caso el numero del cual se esta hablando es 14 para comprobar

14+2(14+1)=44 \\ 14+2(15)=44 \\ 44=44
7 0
3 years ago
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