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3 years ago

The sum of a number and two times a smaller number is 98. The bigger number is 22 less than three times the smaller number.

2 answers:

8 0

B>a

b=3a-22, b+2a=98, using b from the left in the right: 

3a-22+2a=98 

5a-22=98 

5a=120 

a=24, and since b=3a-22, 

b=50 

So the smaller number is 24 and the larger number is 50.

madreJ [45]3 years ago

6 0

X and y
y is smaller

sum of a number and 2 times a smaler is 98
x+2y=98

bigger is 22 less than 3 times smaller
x=-22+3y

sub -22+3y for x in first equation

-22+3y+2y=98
-22+5y=98
add 22 to both sides
5y=120
divide both sides by 5
y=24

sub back
x=-22+3y
x=-22+3(24)
x=-22+72
x=50

the numbers are 24 and 50

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4 years ago

Steven earns extra money babysitting. He charges $37.50 for 6 hours and $50.00 for 8 hours.

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Answer:

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3 years ago

Solve for x and y Both questions please ❤️

zimovet [89]

Answer:

1. $x=18, y=6\sqrt{10}$

2. x=108, y=180

Step-by-step explanation:

The height of the right triangle drawn to the hypotenuse is the geometric mean of two segments of the hypotenuse (two legs' projections)

1. Use this property, so

$CD^2=AD\cdot BD\\ \\6^2=2\cdot x\\ \\36=2x\\ \\x=18$

Consider right triangle BCD. By the Pythagorean theorem,

$BC^2=BD^2+CD^2\\ \\y^2=18^2+6^2\\ \\y^2=324+36\\ \\y^2=360\\ \\y=\sqrt{360}=6\sqrt{10}$

2. Consider right triangleGM*. By the Pythagorean theorem,

$G*^2=GM^2+M*^2\\ \\240^2=GM^2+192^2\\ \\GM^2=240^2-192^2=(240-192)(240+192)=48\cdot 432=144^2\\ \\GM=144$

Use this property to find x:

$GM^2=192\cdot x\\ \\144^2=192\cdot x\\ \\x=\dfrac{144^2}{192}=108$

Consider right triangle GMCup. By the Pythagorean theorem,

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4 years ago

if (9,33) is an ordered pair of the inverse of f(x) which of the following is an ordered pair of the function f(x)

krok68 [10]

The answer:
the main formula for finding the value of an ordered pair of the inverse of a function f(x) is as following:

if (x, f(x)) is an ordered pair, so the ordered pair of the inverse of f(x) is (x', y') such that x'=f(x) and y'=x,
therefore, If (9,33) is an ordered pair of the inverse of f(x), the ordered pair of the function f(x) is (33, 9)

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3 years ago