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Otrada [13]
2 years ago
14

Brad says that if a second number is 125% of the first number, then the first number must be 75% of the second number. Is he cor

rect?
Mathematics
1 answer:
olga55 [171]2 years ago
8 0

Answer: He is not correct.

Steps:

Let x1 and x2 be the first and second number, respectively.

x_2 = \frac{5}{4}x_1\\\frac{4}{5}x_2 =x_1

In words, if the second is 125%, or 5/4 of the first number (first equation),

then the first is 4/5 of the second, which is 0.8 or 80%.

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The Jacksons and the Simpsons were competing in the final leg of the Amazing Race, which was 240240240 kilometers long. In their
meriva

Answer:

240/(v+40) + 1 > 240/v

Step-by-step explanation:

Both parties traveled a distance of 240 km.

Simpsons took off at average speed of 40 km/h & 1 hour later: 240/(v+40) + 1

Jacksons took off at average speed of v km/h:  240/v

6 0
2 years ago
8.1g of sugar is needed for every cake made. How much sugar is needed for 6 cakes?
Lerok [7]

Answer:

48.6

Step-by-step explanation:

If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar

Just do 8.1*6 and you will get 48.6

8 0
2 years ago
Un guardia forestal divisa, desde un punto de observación A, un incendio en la dirección N27° 10’ E. Otro guardia, que se encuen
Inga [223]

Answer:

la distancia del punto de observación A al incendio = 5.5 millas

la distancia del punto de observación B al incendio = 3.8 millas

Step-by-step explanation:

La expresión esquemática de la pregunta se puede ver en la imagen adjunta a continuación :

Del siguiente diagrama;

Usando la sine regla:

\dfrac{sin \  F}{f} = \dfrac{sin  \ A }{a}

\dfrac{sIn \  79}{6} = \dfrac{sin \   63}{a}

a sin 79 = 6 sin 63

a =\dfrac{6 \times sin \ 63}{sin \ 79}

a =\dfrac{6 \times 0.8910}{0.9816}

a = 5.446 millas

la distancia del punto de observación A al incendio = 5.5 millas (a la décima más cercana)

\dfrac{sin \  F}{f} = \dfrac{sin  \ B}{b}

\dfrac{sin \  79}{6} = \dfrac{sin  \ 38}{b}

b sin 79 = 6 sin 38

b  = \dfrac{6 \times sin  \ 38}{sin \  79}

b  = \dfrac{6 \times0.6157 }{0.9816}

b = 3.7635 millas

la distancia del punto de observación B al incendio = 3.8 millas (a la décima más cercana)

8 0
2 years ago
Amy and two of her friends eat lunch at a restaurant. Their bill, including tax, comes to $27.63. They decide to split the bill
Art [367]

Answer:

Step-by-step explanation:

$27.63 / 2 = $13.82

$13.82 * 0.20 = $2.76

$13.82 + $2.76 = $16.58

6 0
2 years ago
the diameter of a football is five times the diameter of a cricket ball ratio of surface area of football and cricket ball is​
LenKa [72]

Answer:

25 : 1

Step-by-step explanation:

The diameter of the football is 5 times the diameter of the cricket ball. This means that the radius of the football is also 5 times the radius of the cricket ball.

Let the radius of the football be R.

Let the radius of the cricket ball be r.

This implies that:

R = 5r

Both balls are spherical.

The surface area of the cricket ball is given as:

a = 4\pi r^2

The surface area of the football is given as:

A = 4\pi R^2

=>A = 4\pi (5r)^2\\\\A = 100\pi r^2

Therefore, the ratio of their surface areas is:

A : a

100\pi r^2 : 4\pi r^2

= 100 : 4

25 : 1

5 0
2 years ago
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