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3 years ago

The reciprocal of (x-y) is z . If z = 11 , y = -3 then what is the value of x

Mathematics

1 answer:

arlik [135]3 years ago

4 0

Answer:

x=-32/11

Step-by-step explanation:

Let's solve your equation step-by-step.

1/(x+3)=11

(1/n=reciprocal of n)

Step 1: Multiply both sides by x+3.

1=11x+33

11x+33=1(Flip the equation)

11x+33−33=1−33(Subtract 33 from both sides)

11x=−32

11x/11=−32/11

(Divide both sides by 11)

x=−32/11

Check answers. (Plug them in to make sure they work.)

x=−32/11

(Works in original equation)

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8oz./1 cup = ?/12 cups. How many ounces are in 12 cups?

IRISSAK [1]

Answer:

12cups=96oz.

Step-by-step explanation:

multiply the volume value by 8

12 oz equals 1.50 cups. 1 ounce is equivalent to 0.125 cups, and there are 1.50 cups in 12 ounces.

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3 years ago

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If 7 + 3x = 22, then 2x =

ELEN [110]

$7+3x=22\ \ \ /-7\\3x=15\ \ \ /:3\\x=5\\\\\\2x=2\cdot5=10$

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3 years ago

Kurt is designing a table for a client. The table is a rectangular shape with a length 26 inches longer than its width. The peri

bonufazy [111]

Answer:

5456 sq. inches

Step-by-step explanation:

Let width = w,

Then length = w + 26

Perimeter = 2[length + width]

2[(w +26) + w] = 2[2w + 26] = 4w + 52

Perimeter given is 300

So, 4w + 52 = 300

4w = 248

w = 248/4 =62

length = 62 + 26 = 88

Area = length × width

Area = 88 × 62 = 5456 sq. inches

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3 years ago

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Vikram has a bucket of three different racquetballs, one blue, one black, and one red. He wants to test each ball to see how wel

nydimaria [60]

Answer:

A) 33.3%

B) 50 %

Step-by-step explanation:

A) if there are 3 balls always in the bucket you need to see what one balk represent one ball is 1÷3 which is 0.33 so by knowing that if Vikram drops the ball back into the bucket after the hit there would be a 33 % chance he will chose the same or a different ball in order.

B)if he won't put the ball back in the bucket there will be only 2 balls felt so 1÷2 = 0.5 so there is a 50 % chance of Victor getting the balls in the correct order

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2 years ago

Ryan is 4 1/2 ft. tall. He is 3 in. taller than his sister Lizzie. She is 3/4 of a foot taller than her sister Emma. How tall is

77julia77 [94]

Answer:

$3\frac{1}{12}$ ft tall

Step-by-step explanation:

We must follow the indications:

Ryan is 4 1/2 ft. tall.

Ryan = $4\frac{1}{12} ft$

He is 3 in. taller than his sister Lizzie. to find how tall is Lizzie we need to substract 3 inches from the height of Ryan, but we can only substract the quantities if they are in the same units.

Thus we convert the 3 inches to feet, since we 1 feet = 12 inches:

$\frac{1}{4} feet=3inches$

so the height of lizzie:

$4\frac{1}{12}ft-\frac{1}{4}ft\\ \\$

we convert the first mixed number to fraction by multiplying 4 by 12 and adding the numerator 1:

$4\frac{1}{12}=\frac{4*12+1}{12}=\frac{49}{12}$

the subtraction becomes:

$\frac{49}{12}ft-\frac{1}{4}ft\\ \\=\frac{49*4-12*1}{12*4}\\ \\=\frac{196-12}{48}\\\\=\frac{184}{48}\\ \\=\frac{46}{12} \\$

$=\frac{23}{6}$

Lizzie is 23/6 ft tall.

She is 3/4 of a foot taller than her sister Emma, thus we must substract 3/4 from the height of Lizzie to find the height of Emma:

$\frac{23}{6}ft-\frac{3}{4}ft\\ \\=\frac{23*4-6*3}{6*4}\\ \\=\frac{92-18}{24}\\ \\=\frac{74}{24}\\ \\=\frac{37}{12}\\ \\=3\frac{1}{12}$

Emma is $3\frac{1}{12}$ ft tall.

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3 years ago