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VladimirAG [237]
2 years ago
11

Help please

Mathematics
1 answer:
bearhunter [10]2 years ago
4 0

Answer:

1. 7.66 x 10^4

2. 2.415×10²

Step-by-step explanation:

2. 8×105-5.7×105=241.5

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james' daily wage was $5 more than Davis's. Although James worked 3 days less than David, they earned $180 each. Find the number
zalisa [80]

Answer: 9 days

Step-by-step explanation:

Let x represent James' daily wage

James' daily wage was $5 more than Davis's. It means that Davis's daily wage will be $(x-5)

Let y represent number of days that James worked. James worked 3 days less than David. It means that the number of days that Davis worked would be (y + 3) days

they earned $180 each. Total amount of money earned by either of of them is the product of wage and the number of days worked.

Since James earned $180, then

180 = xy - - - - - - - - 1

Since Davis also earned $180, then

180 = (x - 5)(y + 3)

xy +3x -5y -15 = 180 - - - - - - - - 2

Substituting xy = 180 into equation 2

It becomes

180 + 3x - 5y -15 = 180

3x - 5y = 180 - 180 + 15

3x - 5y = 15 - - - - - - -3

From equation 1, x = 180/y

Substituting x = 180/y into equation 3, it becomes

3 × 180/y - 5y = 15

540 - 5y^2 = 15y

5y^2 + 15y -540 = 0

Dividing through by 5

y^2 + 3y -108 = 0

y^2 + 12y - 9y -108 = 0

y(y + 12) - 9(y + 12) = 0

y + 12 = 0 or y - 9 = 0

y = -12 or y = 9

Since the number of days cannot be negative, then,

Number of days that James worked will be 9 days

8 0
3 years ago
Dan Perkins goat is attached to the corner of the 14-foot-by-7-foot pump house by a 14-foot length of rope. The goat eats the gr
fenix001 [56]
<span>This pattern consists of three-fourths of a circle of radius 14 feet and one-fourth of a circle of radius 7 feet. What area of grass can Dan Perkins goat eat?</span>

We know that the formula for the area of the pitch circle are:
\pi*r^2*\alpha where alpha is the pinch of circle, r is radius, and pi is mathematics constant approximately equal 3,14

\pi*14^2*\frac{3}{4}+\pi*7^2*\frac{1}{4}=461,58+38,465=500,045(feet^2)
5 0
2 years ago
Who started the problem correctly? The problem form is (-5) - (-1 3/4).
Veronika [31]

Answer:

Shane started the problem correctly

Step-by-step explanation:

We are given problem (-5) - (-1 3/4).

Mariah started the problem as (-5) + 1 - 3/4

Shane started the problem as (-5) + 1 + 3/4

We need to find who started the problem correctly.

The problem should be started by converting the mixed fraction into improper fraction i,e

-5-(-1\frac{3}{4})\\=-5-(-1-\frac{3}{4} )\\=-5-(-\frac{7}{4})

Now we will solve bracket by multiplying -1 with term inside the bracket i.e

=-5+\frac{7}{4}

= \frac{-13}{4}

Let's compare both the procedures now:

Mariah:

(-5) + 1 - \frac{3}{4}

=(-5) - \frac{1}{4}

=\frac{-21}{4}

Therefore, Mariah did not start the problem correctly.

Shane:

(-5) + 1 + \frac{3}{4}

= -5 + \frac{7}{4}

= \frac{-13}{4}

Therefore, Shane started the problem correctly.

6 0
2 years ago
26. A(-4, -1), B(-4, 6), C(2,6), D(2, -4)
Fudgin [204]

Answer:

I NEEEEEEEED TO SEEEE GRAPHHHHHHHHHHHH

Step-by-step explanation:

5 0
2 years ago
X2 + 3x - 6 = 0
Vesnalui [34]

Answer:

Go to ma th way Step-by-step explanation:

6 0
3 years ago
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