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Andrews [41]
3 years ago
14

Thomas had 12 juice boxes he gave some to his sisters he now has more rhan 5 left.Which inequality can be used to find j the num

ber of juice boxes thomas gave to his sisters?
Mathematics
1 answer:
Ivahew [28]3 years ago
5 0

Answer:

J < T - 5

Step-by-step explanation:

T =  The number of juice boxes Thomas had

J =  The number of juice boxes Thomas gave to his sisters

Thomas had 12 juice boxes

T = 12

He gave some to his sisters he now has more than 5 left.

T - J > 5

-J > 5 - T

J < -5 + T

J < T - 5

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Han's bank account has a balance that is overdrawn and his account balance is -$13.00. How much would he need to deposit in orde
Alisiya [41]

Answer:

$23.00

Step-by-step explanation:

Formula: -13 + d = 10 (d = deposit)

To get d by itself, add 13 to 10: d = 23

Therefore, you need to deposit $23.00.

4 0
3 years ago
Suppose that the weights of passengers on a flight to Greenland on Frigid Aire Lines are normal with mean 175 pounds and standar
Natali5045456 [20]

Answer:

The minimum weight for a passenger who outweighs at least 90% of the other passengers is 203.16 pounds

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 175, \sigma = 22

What is the minimum weight for a passenger who outweighs at least 90% of the other passengers?

90th percentile

The 90th percentile is X when Z has a pvalue of 0.9. So it is X when Z = 1.28. So

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{X - 175}{22}

X - 175 = 22*1.28

X = 203.16

The minimum weight for a passenger who outweighs at least 90% of the other passengers is 203.16 pounds

6 0
3 years ago
Y=3/2x-1<br> -6x+4y=-4<br> Does this have no solution or infinitely many solutions please explain.
Aleks04 [339]

Answer:

infinitely many solutions

Step-by-step explanation:

Let's eliminate the fractional coefficient in the first equation by multiplying that equation by 4:

4y = 6x - 4

The second equation can be rewritten as 4y = 6x - 4, so the two equations are actually identical.  They have infinitely many solutions.

6 0
3 years ago
Make the indicated trigonometric substitution in the given algebraic expression and simplify(x-25)/x = Sin y0
Strike441 [17]

Answer:

x = 25 /(1 − sin(y )) and y ≠ π/2  +2πn

Step-by-step explanation:

Let's solve and simplify for x,

(x − 25 )/ x  = sin(y)

Let's multiply both sides by x

((x − 25 )/x) *x= sin(y)*x

Then,

x − 25 = sin(y) * x

Let's add 25 to both sides

x − 25 + 25 = sin(y) * x + 25

If simplify again,

x = sin(y) * x + 25

Then we need subtract sin y x from both sides

x − sin(y) * x = sin (y)* x + 25 − sin (y)* x

It will equal:

x − sin (y)* x = 25

Factor x−sin(y) x: x(1−sin(y) ), then we get:

x (1 − sin(y)) = 25

Finally we need divide both sides by 1 − sin(y) ; y ≠π /2 + 2πn

And it will give us this equation:

x = 25 /(1 − sin(y )) and y ≠ π/2  +2πn

3 0
3 years ago
The label on a 1​-gallon jug of fruit juice states that the serving size is 8 oz. How many servings are in the​ jug?
Elodia [21]

Answer: 16 fl. oz.

Step-by-step explanation:

There are 128 fl. oz. in one gallon. Divide that by the serving size, 8 fl. oz., and you get 16.

4 0
3 years ago
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