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Charra [1.4K]
3 years ago
12

Jeff worked 4 2/3 hours in the morning and 3 3/4 hours in the afternoon. How many total hours did he work today?

Mathematics
1 answer:
Rainbow [258]3 years ago
7 0
If you would like to know how many total hours did Jeff work today, you can calculate this using the following steps:

4 2/3 hours in the morning + 3 3/4 hours in the afternoon = 4 2/3 + 3 3/4 = 14/3 + 15/4 = 56/12 + 45/12 = (56 + 45) / 12 = 101/12 = 8 5/12 hours

Jeff worked 8 5/12 hours in total.
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3 years ago
BRAINLIEST, 40 points
ollegr [7]

Answer:

A

Step-by-step explanation:

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4 years ago
a playing field measures 120 yards by 64 yards supose you run dignolly across the field use he pythagorean theroem to determine
Aloiza [94]
You have to use the Pythagoras theorem: c² = a²+b²
You have been given the c side, the diagonal side, and the b side the height side. You need to square both of them, take them away from each other and then get the square root of that answer;

120²-64² = 10302
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3 0
3 years ago
*At first a price was decreased by 12%, then it was discounted again by an additional 5%. What is the percent of the total disco
ratelena [41]

The percent of total discount is 16.4 %

<em><u>Solution:</u></em>

Given that,

<em><u>At first a price was decreased by 12%, then it was discounted again by an additional 5 %</u></em>

To find: Percent of total discount

Let "x" be the original price

<em><u>At first a price was decreased by 12%</u></em>

Therefore,

Discounted price = original price - 12 % of original price

Discounted price = x - 12 % of x

Discounted\ price = x - \frac{12}{100} \times x\\\\Discounted\ price = x - 0.12x\\\\Discounted\ price = 0.88x

<em><u>It was discounted again by an additional 5%</u></em>

Therefore,

Discounted price = 0.88x - 5 % of 0.88x

Discounted\ price = 0.88x - \frac{5}{100} \times 0.88x\\\\Discounted\ price = 0.88x - 0.05 \times 0.88x\\\\Discounted\ price = 0.88x - 0.044x\\\\Discounted\ price = 0.836

<em><u>Thus the percent of total discount is:</u></em>

Percent = 100 \% - 0.836 \times 100 \%\\\\Percent = 100 \% - 83.6 \%\\\\Percent = 16.4 \%

Thus the percent of total discount is 16.4 %

5 0
3 years ago
Write an equation for an ellipse centered at the origin, which has foci at (\pm5,0)(±5,0)(, plus minus, 5, comma, 0, )and vertic
Virty [35]

Answer:

The equation of ellipse is

\frac{x^2}{41}+\frac{y^2}{16}=1

Step-by-step explanation:

The equation of an ellipse is

\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1

where(h,k) is the center and c is distance from the center to the foci is given by a^2-b^2=c^2. a is the distance from the center to the vertices and b is the distance from the center to the co-vertices.

The center of the ellipse is the mid-point of the vertices.

The mid point of the vertices (\pm\sqrt{41},0) is

=(\frac{\sqrt{41}+(-\sqr{41})}2,\frac{0+0}2)

=(0,0)

a is the distance between the center and the vertices.

So, a=\sqrt{(0-\sqrt{41})^2+(0-0)^2}

        =\sqrt{41}

c is the distance between the center and the foci.

So, c=\sqrt{(0-5)^2+(0-0)^2

         =5

a^2-b^2=c^2

\Rightarrow (\sqrt41)^2-b^2=5^2

\Rightarrow b^2=(\sqrt41)^2- 5^2

\Rightarrow b^2=41-25

\Rightarrow b^2=16

The equation of ellipse is

\frac{(x-0)^2}{(\sqrt{41})^2}+\frac{(y-0)^2}{16}=1

\Rightarrow \frac{x^2}{41}+\frac{y^2}{16}=1

7 0
4 years ago
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