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AlekseyPX
3 years ago
9

A room decorator wants to purchase fabric. Each yard of fabric costs $2.90. Write a rule for the cost of the fabric. Let c equal

the total cost and f equal the number of yards of fabric.
Mathematics
1 answer:
STatiana [176]3 years ago
8 0
Expression: 2.90f = c
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If y=15 when x=3/4, find x when y =25. Show work please!
-BARSIC- [3]

Set up a proportion: x/y = x/y

(.75)/(15) = (x)/(25)

Then cross multiply:

(.75)(25) = (15)(x)

18.75 = 15x

x = 1.25 or (5/4)

There you go :)

6 0
3 years ago
Please help on this Question, I need Pre Calc help
Ksju [112]
Your answer would be D

7 0
3 years ago
A12.5 ft ladder is leaning against the side of a house. If the ladder is resting 12 feet off the ground, how far is the ladder f
Elanso [62]

Answer:

3.5

Step-by-step explanation:

This can be calculatdd by applyinthe g Pythagorean theorem

a^2 + b^2= c^2

12^2 + x^2= 12.5^2

144+ x^2= 156.25

x^2= 156.25-144

x^2= 12.25

x= √12.25

x= 3.5

Hence the distance between the ladder and the house is 3.5 ft

6 0
2 years ago
Can I have some help?
lisabon 2012 [21]

Answer:

x =  \sqrt{58}

Step-by-step explanation:

first, you should draw a line to separate the triangle from the rectangle

You can get the height if the triangle by saying 16-9

This will give you 7

The base of the triangle is 3 because the opposite side is given and the opposite sides of a rectangle are equal

Now that we have the measurements of the triangle we can use the Pythagorean theorem

{c}^{2}  =  {a}^{2}  +   {b}^{2}

{x}^{2}  =  {7}^{2}  +  {3}^{2}

{x}^{2}  = 49+ 9

{x}^{2}  = 58

x =  \sqrt{58}

3 0
2 years ago
A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds. Find the te
vredina [299]

Answer:

b. 2.333

Step-by-step explanation:

Test if the mean transaction time exceeds 60 seconds.

At the null hypothesis, we test if the mean transaction time is of 60 seconds, that is:

H_0: \mu = 60

At the alternate hypothesis, we test if it exceeds, that is:

H_1: \mu > 60

The test statistic is:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

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

60 is tested at the null hypothesis:

This means that \mu = 60

A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds.

This means that n = 16, X = 67, s = 12

Value of the test statistic:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{67 - 60}{\frac{12}{\sqrt{16}}}

t = \frac{7}{3}

t = 2.333

Thus, the correct answer is given by option b.

5 0
3 years ago
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