A first number is four more than seven time a second. The sum of the number is 92. Find the number.

11

81

Step-by-step explanation:

x = 7y + 4

x + y = 92

Solve for x in the second equation

x = 92 - y

92 - y = x

Equate the 2 xs

92 - y = 7y + 4         Add y to both sides

92 = 7y+y + 4          Combine

92 = 8y +  4             Subtract 4 from both sides

88 = 8y                    Divide by 8

88/8 = y

y = 11

x = 7y + 4

x = 77 +4

x = 81

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

134.6 us dollars

step-by-step explanation:

1 us dollar = 1.33 canadian dollars

so, 150 us dollars = 150 × 1.33 = $199.5.

in canada, the money mitchell spent = 20 canadian dollars.

remaining canadian dollars with him = 199.5 - 20 = 179.5.

after mitchell returned to us, he exchanged the remaining canadian dollars to us dollars.

179.5 canadian dollars = 179.5 × 0.75 = 134.6 us dollars.