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miskamm [114]
2 years ago
6

It takes Franklin 14 hours to make a 200-square-foot cement

Mathematics
1 answer:
BartSMP [9]2 years ago
8 0
F = Franklin (rate) = 200 ft² / 14 hrs = 200/14 ft²/hr = 14.2587 ft²/hr
S = Scott (rate) = 200 ft² / 10 hrs = 200/10 ft²/hr = 20 ft²/hr

Combined . . .

Fx + Sx = 200

(F + S)x = 200

x = 200/(F + S)

(F + S) = 200/14 + 200/10 = 2000/140 + 2800/140 = 4800/140 = 240/7

x = 200/(240/7)

x = 200/240*7 = 20/24*7 = 140/24 = 35/6

<u><em>x = 35/6 hrs = 5 5/6 hrs = 5 hrs 50 min</em></u>

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Can you exchange the coordinates of points ( x 1, y 1) and ( x 2, y 2) in the distance formula and still find the correct distan
notka56 [123]

Answer:

yes

Step-by-step explanation:

As an example

(x₁, y₁ ) = (1,2) and (x₂, y₂ ) = (5,3), then

d = \sqrt{(5-1)^2+(3-2)^2} = \sqrt{4^2+1^2} = \sqrt{16+1} = \sqrt{17}

Now let (x₁, y₁ ) = (5,3) and (x₂, y₂ ) = (1,2), then

d = \sqrt{(1-5)^2+(2-3)^2} = \sqrt{(-4)^2+(-1)^2} = \sqrt{16+1} = \sqrt{17}


3 0
3 years ago
Calcule o saldo de salário, o funcionário foi admitido em 10 de janeiro como mensalista, salário R$ 1400,00?
Sholpan [36]

Responda:

$ 980

Explicação passo a passo:

Dado que:

Salário mensal = $ 1400

Data de emprego = 10 de janeiro

Usando o sistema de mês de 30 dias:

Taxa diária =. $ 1400/30 = $ 46.66666

Dias não trabalhados = janeiro - 9 de janeiro = 9 dias

Subtraia o salário de 9 dias do total:

Salário total - (9 * taxa diária)

$ 1400 - (9 * $ 46,66666)

$ 1400 - $ 420

= $ 980

Portanto, o saldo do salário é de $ 980

7 0
2 years ago
What is F(7) if (x) = 5x
Law Incorporation [45]
The answer is 35.
........
3 0
2 years ago
Read 2 more answers
A transformation T: (x, y) (x + 3, y + 1). For the ordered pair (4, 3), enter its preimage point. (-1, 2) (1, 2) (7, 4)
Aleksandr-060686 [28]

Answer:

(1,2)

Step-by-step explanation:

we know that

The rule of the transformation is equal to

(x, y)  ------> (x + 3, y + 1)

Pre-image -----> Image

(x, y)  ------> (4, 3)

so

x+3=4 ----> x=4-3=1

y+1=3 ---> y=3-1=2

therefore

The pre-image is the point (1,2)

6 0
3 years ago
Simplify completely quantity 2 x squared plus 16 x plus 30 all over quantity 5 x squared plus 13 x minus 6.
Ludmilka [50]
(2x^2 + 16x + 30) / (5x^2 + 13x -6)
Start by factoring the numerator and denominator.
Cancel any like factors.

2(x^2 + 8x + 15)
2(x + 5)(x + 3) / (5x -2)(x + 3
2(x + 5) / (5x - 2)
The third choice
8 0
3 years ago
Read 2 more answers
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