Write an equation and solve
23% more than a number is 615
32% of a number is 256
15% less than a number is 493

500

800

580

Step-by-step explanation:

Let us see how to convert % into decimals.

n%=n/100

Let the number be n

HENCE

i) 23% more than a number is 615

23% more than n

23% of n = 23n/100= 0.23n

Hence

n+0.23n=1.23n

1.23n=615

n=615/1.23

n=500

ii)

32% of a number is 256

Let the number be x

32% of x = 32x/100 =0.32x

0.32x=256

x=256/0.32=800

iii)

15% less than a number is 493

15% more than a number is 493

15% more than n

15% of n = 15n/100= 0.15n

Hence

n-0.15n=1.15n

0.85n=493

n=493/0.85

n=580

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1

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.