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Scrat [10]
2 years ago
10

You planted 488 acres of corn last season.you sold all your corn:8,120 bushel in August and 64,100 bushels in September. What is

your yield per acre,rounded to the nearest bushel per acre
Mathematics
2 answers:
amid [387]2 years ago
8 0

Answer:

148 bushels per acre.

Step-by-step explanation:

It has been given that you planted 488 acres of corn last season. You sold 8,120 bushel in August and 64,100 bushels in September. We are asked to find the yield per acre.

\text{Yield per acre}=\frac{\text{Total production}}{\text{Total acres}}

\text{Yield per acre}=\frac{\text{(8,120+64,100) bushels}}{\text{488 acres}}

\text{Yield per acre}=\frac{\text{72,220 bushels}}{\text{488 acres}}

\text{Yield per acre}=\frac{\text{147.9918 bushels}}{\text{acre}}

\text{Yield per acre}\approx \frac{\text{148 bushels}}{\text{acre}}

Therefore, the yield is 148 bushels per acre.

balandron [24]2 years ago
7 0

148 is the answer because

8,120+64,100=72,220

72,220 divide by 488 = 147.991803

rounded is 148

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7. During the Middle Ages, people often used grains, scruples, and drahms to measure the weights of different medicines. If 120
Serjik [45]

Answer:

5 drahms.

Step-by-step explanation:

From the question given above, the following data were obtained:

120 grains = 6 scruples

6 scruples = 2 drahms

300 grains (in drahms) =..?

From the above data,

120 grains = 6 scruples

6 scruples = 2 drahms

Therefore,

120 grains = 2 drahms

Thus, we can obtain 300 grains in drahms as follow:

120 grains = 2 drahms

Therefore,

300 grains = 300 grains × 2 drahms /120 grains

300 grains = (300 × 2)/120 drahms

300 grains = 5 drahms

Therefore, 300 grains is equivalent to 5 drahms.

5 0
2 years ago
76 persons can complete the job in 42 days-in how many days will 56 persons do the same job?
kkurt [141]

We are given that 76 persons can complete the job in 42 days.

We need to find the number of days will 56 persons do the same job.

Let us assume that in x number of days will 56 persons do the same job.

Number of days taken by 1 person to complete same work = 76 × 42 =3192 days.

56 person will take = \frac{3192 }{56} = 57.

<h3>Therefore, 57 days will 56 persons do the same job.</h3>
3 0
2 years ago
Use complete sentences to describe the transformation that maps ABCD onto its image.
Lapatulllka [165]

General Idea:

When a point or figure on a coordinate plane is moved by sliding it to the right or left or up or down, the movement is called a translation.

Say a point P(x, y) moves up or down ' k ' units, then we can represent that transformation by adding or subtracting respectively 'k' unit to the y-coordinate of the point P.

In the same way if P(x, y) moves right or left ' h ' units, then we can represent that transformation by adding or subtracting respectively 'h' units to the x-coordinate.

P(x, y) becomes P'(x\pm h, y\pm k). We need to use ' + ' sign for 'up' or 'right' translation and use ' - ' sign for ' down' or 'left' translation.

Applying the concept:

The point A of Pre-image is (0, 0). And the point A' of image after translation is (5, 2). We can notice that all the points from the pre-image moves 'UP' 2 units and 'RIGHT' 5 units.

Conclusion:

The transformation that maps ABCD onto its image is translation given by (x + 5, y + 2),

In other words, we can say ABCD is translated 5 units RIGHT and 2 units UP to get to A'B'C'D'.

6 0
2 years ago
Negative 2 and two-thirds, negative 5 and one-third, negative 10 and two-thirds, negative 21 and one-third, negative 42 and two-
Naddika [18.5K]

Answer:

(D) f(x+1)=2f(x)

Step-by-step explanation:

The sequence is:

-2\frac{2}{3}, -5\frac{1}{3}, -10\frac{2}{3}, -21\frac{1}{3}, -42\frac{2}{3}

Now,

-5\frac{1}{3} \div -2\frac{2}{3}=2\\-10\frac{2}{3} \div -5\frac{1}{3} =2

On continuous calculation, we would discover that the next term is gotten from the preceding term by multiplying it by 2.

Therefore for term f(x), the next term f(x+1) is:

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7 0
2 years ago
Read 2 more answers
A metal frame is constructed in the form of an isosceles trapezoid. Each base angle measures 80°, the length of the base is 7 fe
jonny [76]
Height of a trapezoid:
h = 5 · sin 80° = 5 · 0.985 = 4.924
x = 5 · cos 80° = 5 · 0.17365 = 0.868
7 - x = 7 - 0.868 = 6.132
By the Pythagorean theorem:
d² = 6.132² + 4.924²
d² = 37.6 + 24.25
d² = 61.85
d = √61.85
d = 7.86 ≈ 8
Answer: The length of a diagonal brace is 8 feet.
3 0
2 years ago
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