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SSSSS [86.1K]
3 years ago
13

Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution se

t
of this problem?
x<-5
x>-5
x>-1
x<-l
Mathematics
2 answers:
balandron [24]3 years ago
8 0

Answer:

x > -5

Step-by-step explanation:

2/5 (x − 1) < 3/5 (x + 1)

Multiply both sides by 5:

2 (x − 1) < 3 (x + 1)

Distribute:

2x − 2 < 3x + 3

Subtract 2x and 3 from both sides:

-5 < x

Therefore, x > -5.

aev [14]3 years ago
5 0

Answer:

x > -5.

Step-by-step explanation:

You might be interested in
Find the product: (-8)(-6) =
larisa86 [58]

Answer:

48, since the numbers are next to each other with no sign, they need to be multiplied, and a negative times a negative is a positive

Step-by-step explanation:

hope this helps

4 0
3 years ago
Read 2 more answers
Pam and her brother both open savings accounts. Each begin with a balance of zero dollars. For every two dollars that Pam save i
dezoksy [38]

Answer:

Ratio [Pam to her brother] = 2:5

Step-by-step explanation:

Given:

Pam saves every two dollar

Her brother saves fives dollar (For every two dollar)

Find:

Ratio [Pam saving and his brothers saving]

Computation:

It is given that if Pam saves $2 her brother saves $5

So,

Ratio [Pam to her brother] = 2/5

Ratio [Pam to her brother] = 2:5

6 0
3 years ago
The distribution of resistance for resistors of a certain type is known to be normal, with 10% of all resistors having a resista
baherus [9]

Answer:

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

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.

10% of all resistors having a resistance exceeding 10.634 ohms

This means that when X = 10.634, Z has a pvalue of 1-0.1 = 0.9. So when X = 10.634, Z = 1.28.

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

1.28 = \frac{10.634 - \mu}{\sigma}

10.634 - \mu = 1.28\sigma

\mu = 10.634 - 1.28\sigma

5% having a resistance smaller than 9.7565 ohms.

This means that when X = 9.7565, Z has a pvalue of 0.05. So when X = 9.7565, Z = -1.96.

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

-1.96 = \frac{9.7565 - \mu}{\sigma}

9.7565 - \mu = -1.96\sigma

\mu = 9.7565 + 1.96\sigma

We also have that:

\mu = 10.634 - 1.28\sigma

So

10.634 - 1.28\sigma = 9.7565 + 1.96\sigma

1.96\sigma + 1.28\sigma = 10.645 - 9.7565

3.24\sigma = 0.8885

\sigma = \frac{0.8885}{3.24}

\sigma = 0.2742

The mean is

\mu = 10.634 - 1.28\sigma = 10 - 1.28*0.2742 = 9.65

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

8 0
3 years ago
3 women push a stalled car. Each woman pushes with a 425 N force. What is the mass of the
iogann1982 [59]

Answer:

1,500 Kg

Step-by-step explanation:

Formual for froce is given by

force = mass * acceleration

Force exerted by 1 woman = 425 N

no. of women exerting force = 3

Force exerted by 3 woman = 425 * 3 N = 1275 N

Acceleration produced by 1275 N force = 0.85 m/s^2

Using formula force = mass * acceleration

1275 = mass *  0.85 m/s^2

=> mass = 1275/ 0.85 m/s^2 = 1,500 Kg

Thus, mass of car is 1,500 Kg.

8 0
3 years ago
Amy is growing basil. On February 1st her plant was 5 inches high. A week later, the plant’s height became 9 inches high. By wha
vladimir1956 [14]
(9-5/5)*100= (4/5)*100 = 80% ( new height- original height /original height )  *100 the plant grew 80%
4 0
3 years ago
Read 2 more answers
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