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melisa1 [442]
3 years ago
14

Asif spent $745.10 on 13 new file cabinets for his office. Small file cabinets cost $43.50 and large file cabinets cost $65.95.

Write and solve a system of equations to find the number of small cabinets and large cabinets he purchased. Determine if each statement is True or False.
1. He purchased 5 small cabinets.

True or False

2. He purchased 7 large cabinets.

True or False

3. He spent $527.60 on large cabinets.

True or False
Mathematics
1 answer:
pentagon [3]3 years ago
6 0

Answer:


Step-by-step explanation

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What is bigger 3.345 or 3.35 or 3.3
Sidana [21]
3.35 is bigger then 3.345
8 0
3 years ago
Simplify: 2 1/2t+1 1/4t+5u–u​
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Answer:

15t/4 + 4u

Step-by-step explanation:

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8 0
2 years ago
I ready scientific notation help
Airida [17]

The required value is 2\times10^9

Step-by-step explanation:

Weight of ants = 4\times10^{-3}

Weight of elephant= 8\times10^6

We need to find, the total weight of about how many ants equals to the weight of an oversized elephant.

The equation given is:

4\times10^{-3} \times a = 8\times10^6

We need to find a:

Solving:

4\times10^{-3} \times a = 8\times10^6\\a=\frac{8\times10^6}{4\times10^{-3}}\\if \,\,10^a/10^-b \,\,then\,\, 10^{a+b}\\a=2\times10^{6+3} \\a=2\times10^9

So, the required value is 2\times10^9

Keywords: Scientific Notation

Learn more about Scientific Notation at:

  • brainly.com/question/11984920
  • brainly.com/question/5565320
  • brainly.com/question/5756316

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4 0
3 years ago
Three times a number, X, increased by four is equal to five times the number, x. Which equation can be used to solve for x
WITCHER [35]

Answer:

Step-by-step explanation:

Three times a number x :  3x

Three times a number x increase by 4:  3x +4

Five  times the number x: 5x

5x = 3x +4

Subtract 3x from both the sides.

5x - 3x = 3x +4 - 3x

2x = 4

Divide both sides by 2

2x/2 = 4/2

x=2

The number is 2

4 0
3 years ago
A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is
insens350 [35]

Answer:

The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.

Step-by-step explanation:

A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.16.

This means that the null hypothesis is:

H_{0}: p \geq 0.16

Testing this hypothesis, means that the alternate hypothesis is:

H_{a}: p > 0.16

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.16 is tested at the null hypothesis:

This means that \mu = 0.16, \sigma = \sqrt{0.16*0.84}

In a sample of 200 graduates, 24 students have a GPA of 3.00 or below.

This means that n = 200, X = \frac{24}{200} = 0.12

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.12 - 0.16}{\frac{\sqrt{0.16*0.84}}{\sqrt{200}}}

z = -1.54

Pvalue:

The pvalue is the probability of finding a sample mean above 0.12, which is 1 subtracted by the pvalue of z = -1.54.

Looking at the z-table, z = -1.54 has a pvalue of 0.0618

1 - 0.0618 = 0.9382

The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.

6 0
3 years ago
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