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3 years ago

What is 1/6 plus 3/8 all together

1 answer:

7 0

$\frac{1}{6} + \frac{3}{8} = \frac{1\times 4}{6\times 4} + \frac{3\times 3}{8\times 3} = \frac{4}{24} + \frac{9}{24} = \frac{9+4}{24} = \boxed{\frac{13}{24}}}$

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For which inequality would x = 8 not be a solution?

Naya [18.7K]

Put the value of x to the inequality:

$4x+3 > 0\\L=4(8)+3=32+3=35;\qquad R=0;\qquad L > R\ CORRECT\\\\9x-5 < 100\\L=5(8)-5=40-5=35;\qquad R=100;\qquad 35 < 100\ CORRECT\\\\x+4\leq10\\L=8+4=12;\qquad R=10;\qquad 12 > 10\ INCORECT (\leq)\\\\72\div x\geq4\\L=72\div 8=9;\qquad R=4;\qquad 9\geq4\ CORRECT$

3 0

3 years ago

The weights of a certain dog breed are approximately normally distributed with a mean of μ = 55 pounds, and a standard deviation

weqwewe [10]

Answer:

(a)z=-1

(b)48.5 pounds

Step-by-step explanation:

$z-score=\dfrac{x-\mu}{\sigma}$

Given:

Mean, μ = 55 pounds

Standard deviation,σ = 6 pounds.

(a)For a dog that weighs 49 pounds.

x=49 pounds

The z-score

$=\dfrac{49-55}{6}\\=\dfrac{-6}{6}\\\\=-1$

(b)When a dog has a z-score of -1.09

$-1.09=\dfrac{x-55}{6}\\x-55=-6.54\\x=55-6.54\\x=48.46 \approx 48.5$ pounds (to the nearest tenth)$

The weight of a dog with a z-score of -1.09 is 48.5 pounds.

(c)When a dog has a z-score of 1.09

$1.09=\dfrac{x-55}{6}\\x-55=6.54\\x=55+6.54\\x=61.54 \approx 61.5$ pounds (to the nearest tenth)$

The weight of a dog with a z-score of 1.09 is 61.5 pounds.

3 0

3 years ago

985,538,.86 to the nearest million

Feliz [49]

I'm amusing it's 100,000,000 i don't know if I'm right or wrong

8 0

3 years ago

5)Write an algebraic equation for each statement, and then SOLVE for x

Andrei [34K]

Answer:

Step-by-step explanation:

1. x+6=14

14-6=8

x=8

2. 15/x=3

15/3=x

x=5

3. 7*x=56

56/7=8

x=8

4. x^2-4=12

x=4, x=-4

5. 1/4x=10

x/4 = 10

x = 40

6. 3x-9=18

x=9

7. 1/2x-10=14

x/2-10=14

x=48

8.x/8=9

8*9=72

x=72

9.2x+3=24

2x=21

x=21/2

10.20*x=140

140/20=7

x=7

8 0

3 years ago

Mexican currency is the peso. One Mexican peso is currently equal to 0.055 U.S. dollars. If a traveler exchanges $400 for Mexica

Rama09 [41]

Answer:

7,273 Pesos

Step-by-step explanation:

1 Peso = $0.055

The formula below converts pesos to dollars:

1 Peso x 0.055 = $1

The formula below converts dollars to pesos:

$1/0.055= 1 Pesos

We use the second formula because we are coverting

<em>from dollars to pesos.</em>

$400/0.055=7,273 Pesos

5 0

3 years ago

Read 2 more answers