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2 years ago

A number is 3 1/3 greater than another. If the sum of the numbers are doubled the answer would be 19 1/2

Mathematics

2 answers:

olganol [36]2 years ago

7 0

Answer:

3 and 5/24

Step-by-step explanation:

trust me bro

i wish u luck

also

i just realized that the other person got it right

ignore this lol

Delicious77 [7]2 years ago

5 0

Answer:

smaller number = 3 5/24

larger number = 6 13/24

Step-by-step explanation:

let the larger number = x

smaller number = y

x - y = 3 1/3 equation 1

2(x +y) = 191/2 equation 2

divide equation 2 through by 2

x + y = 9 3/4 equation 3

subtract equation 1 from 3

2y = 6 5/12

y = 77/12 x 1/2 = 3 5/24

substitute for y in equation 1

x - 3 5/24 = 31/3

x = 3 1/3 + 3 5/24

x = 6 13/24

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2 years ago

First question. The midpoint of SR is...

Blizzard [7]

The formula of a midpoint SR:

$M\left(\dfrac{x_S+x_R}{2},\ \dfrac{y_S+y_R}{2}\right)$

We have

S(4, 1) and M(7, -5)

Substitute:

$\dfrac{4+x_R}{2}=7\qquad|\cdot2\\\\4+x_R=14\qquad|-4\\\\x_R=10\\\\\dfrac{1+y_R}{2}=-5\qquad|\cdot2\\\\1+y_R=-10\qquad|-1\\\\y_R=-11$

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3 years ago

Which of the following exponential functions represents the graph below?

mario62 [17]

Answer:

the graph corresponds to function "D" $f(x)=3\,(\frac{1}{5} )^x$

Step-by-step explanation:

Since the graph shown corresponds to an exponential "decay" (the function decreases as we move from left to right), the base of the exponent has to be a number smaller than 1 (one). So we examine the only two options that give such (options C and D which have fractions as the base - 1/3 and 1/5 respectively)

From there, we analyze which of the two functions satisfies the crossing of the y-axis at (0,3) which is clearly shown in the graph:

We study both:

function C at x = 0 gives:

$f(x)= 5\,(\frac{1}{3})^x\\f(0)=5\,(\frac{1}{3})^0 \\f(0)=5\,(1)\\f(0)=5$

while function D at x = 0 gives:

$f(x)= 3\,(\frac{1}{5})^x\\f(0)=3\,(\frac{1}{5})^0 \\f(0)=3\,(1)\\f(0)=3$

Therefore, the graph corresponds to function "D"

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3 years ago

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