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1 year ago

8

In a class, 4/5 of the students have mathematical instruments. 1/4 of these students have lost their protractors. What fraction

of students in the class has protractors?

2 answers:

Novay_Z [31]1 year ago

6 0

Answer:

$\frac{11}{20}$

Step-by-step explanation:

$\frac{4}{5} - \frac{1}{4}$ <em>Subtract the students who don't have protractors from the students who have mathematical instruments.</em>

$\frac{11}{20}$

lawyer [7]1 year ago

3 0

9514 1404 393

Answer:

3/5

Step-by-step explanation:

We assume that every student with mathematical instruments who hasn't lost their protractor will have a protractor.

If 1/4 of the students with instruments lost their protractor, then the remaining 3/4 of students with instruments still have their protractors. The fraction of the class with protractors is ...

(3/4)(4/5) = 3/5

3/5 of the students in the class have protractors.

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Eli invested $ 330 $330 in an account in the year 1999, and the value has been growing exponentially at a constant rate. The val

Cloud [144]

Answer:

The value of the account in the year 2009 will be $682.

Step-by-step explanation:

The acount's balance, in t years after 1999, can be modeled by the following equation.

$A(t) = Pe^{rt}$

In which A(t) is the amount after t years, P is the initial money deposited, and r is the rate of interest.

$330 in an account in the year 1999

This means that $P = 330$

$590 in the year 2007

2007 is 8 years after 1999, so P(8) = 590.

We use this to find r.

$A(t) = Pe^{rt}$

$590 = 330e^{8r}$

$e^{8r} = \frac{590}{330}$

$e^{8r} = 1.79$

Applying ln to both sides:

$\ln{e^{8r}} = \ln{1.79}$

$8r = \ln{1.79}$

$r = \frac{\ln{1.79}}{8}$

$r = 0.0726$

Determine the value of the account, to the nearest dollar, in the year 2009.

2009 is 10 years after 1999, so this is A(10).

$A(t) = 330e^{0.0726t}$

$A(10) = 330e^{0.0726*10} = 682$

The value of the account in the year 2009 will be $682.

4 0

2 years ago

Ethan enjoys buying books and going to the movies. He has income of $150 to spend on these two goods each month. The price of a

erica [24]

Answer: A

Step-by-step explanation:

A.) the substitution effect would predict Ethan would consume less books and more movies and the income effect would predict he would consume less of both.

B.) the substitution and income effects would both predict Ethan would consume less of both goods.

C.) the substitution effect would predict Ethan would consume more books and less movies, and the income effect would predict he would consume less of both.

D.) the substitution and income effects would both predict Ethan would consume more of both goods.

If he continuos to buy 4 books ans 6 movies the total amount is $170, that he does not have. He has to buy less books or go less to the movies.

A global efect of a certain good (X) price rise can be divided into 2 efects:

substitution effect: indicates a demand reduction of X, resulting from the price rise, making X less atractive to consumption
income effect: indicates a reduction of the demanded quantity of X resulting from the reduction of the acquisition power created by the rise of X price.

So, answer is A.

5 0

2 years ago

The figure shows the design of a greenhouse with a rectangular floor. The front and back sides of the greenhouse are semicircles

Ksju [112]

9514 1404 393

Answer:

96 cubic feet

Step-by-step explanation:

A volume that is 16 ft by 18 ft by 1/3 ft will be ...

V = LWH

V = (16 ft)(18 ft)(1/3 ft) = 96 ft³

96 cubic feet of concrete are needed.

7 0

2 years ago

You want to surround the perimeter of a garden with 35 stones. You need to place a certain number of large and small stones, and

coldgirl [10]

Answer:

You will need 7 large and 28 small stones.

Step-by-step explanation:

x = the number of large stones

y = the number of small stones

x + y = 35

for every large stone, you want to use 4 small stones:

y = 4x

by solving the system of equations:

x + y = 35

y = 4x

we find:

x = 7 large stones

y = 28 small stones

5 0

1 year ago

Solve the equation, keeping the value for x as an improper fraction. 23x = − 12x + 5 1.Isolate the variable by adding 12x to bot

kogti [31]

Answer:

$x=\frac{30}{7}$

Step-by-step explanation:

We have been given an equation $\frac{2}{3}x=-\frac{1}{2}x+5$ . We are asked to solve our given equation.

First of all, we will add $\frac{1}{2}x$ on both sides of equation to separate x variable on one side of equation.

$\frac{2}{3}x+\frac{1}{2}x=-\frac{1}{2}x+\frac{1}{2}x+5$

$\frac{2}{3}x+\frac{1}{2}x=5$

Now, we will make a common denominator.

$\frac{2*2}{3*2}x+\frac{1*3}{2*3}x=5$

$\frac{4}{6}x+\frac{3}{6}x=5$

Add numerators:

$\frac{4+3}{6}x=5$

$\frac{7}{6}x=5$

Upon multiply both sides of our equation by $\frac{6}{7}$ , we will get:

$\frac{6}{7}*\frac{7}{6}x=5*\frac{6}{7}$

$x=\frac{5*6}{7}$

$x=\frac{30}{7}$

Therefore, the solution for our given equation is $x=\frac{30}{7}$ .

5 0

1 year ago

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