All categories

3 years ago

Fill in the blanks to complete the following sentences.

1 answer:

6 0

The ratio of nails to drywall sheet in simplest form is 24.3 : 1 because she uses 24.3 nails for 1 sheet of drywall.

Step-by-step explanation:

Given,

Sheets of drywall used by Jessica = 3 sheets

Nails used by Jessica = 73 nails

Ratio of sheets to nails = 3:73

Dividing by 3

Ratio of sheets to nails = $\frac{3}{3}:\frac{73}{3}$

Ratio of sheets to nails = 1 : 24.3

The ratio of nails to drywall sheet in simplest form is 24.3 : 1 because she uses 24.3 nails for 1 sheet of drywall.

Keywords: ratio, division

Learn more about ratio at:

#LearnwithBrainly

You might be interested in

Suppose that 80 percent of all statisticians are shy, whereas only 15 percent of all economists are shy. Suppose also that 90 pe

Anna71 [15]

Answer:

37.21% probability that the person is a statistician.

Step-by-step explanation:

We have these following probabilities:

An 80% probability that a statistican is shy.

A 15% probability that an economist is shy.

At the gathering, a 90% probability that a person is an economist.

At the gathering, a 10% probability that a person is a statistican.

If you meet a shy person at random at the gathering. What is the probability that the person is a statistician?

This can be formulated as the following question:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

What is the probability that the person is a statistican, given that he is shy?

P(B) is the probability of the person being a statistican. So P(B) = 0.1.

P(A/B) is the probability of a statistican being shy, so P(A/B) = 0.8.

P(A) is the probability of a person being a shy. This is 15% of 90%(economists) and 80% of 10%(statisticans). So

$P(A) = 0.15*0.9 + 0.8*0.1 = 0.215$

Finally

$P = \frac{P(B).P(A/B)}{P(A)}$

$P = \frac{0.1*0.8}{0.215} = 0.3721$

37.21% probability that the person is a statistician.

3 0

3 years ago

What is the slope of the line that passes through the points (-9, -7) and (-11, 6)

anzhelika [568]

Answer:

-13/2

Step-by-step explanation:

-13/2 is the answer

4 0

2 years ago

What is 2/3 divided by 5? Show your work

Zolol [24]

Answer:

2/15

Step-by-step explanation:

2/3 / 5/1 =

2/3 x 1/5 = 2/15

4 0

2 years ago

Read 2 more answers

Simplify: 2 (5 + 3x) + (x + 10)

IgorLugansk [536]

10 + 15x + x + 10
= 16x + 20

6 0

3 years ago

True or false? A correct answer is worth (2 pts). Explain how you know for the additional (2 pts). Using complete sentence for (

PtichkaEL [24]

answer (in words)

FALSE. the coordinate pair (5, 2) is not a solution to the equation $2x+3y=10$ . in order to figure out whether or not the statement is true or false, plug the $x$ and $y$ values from the coordinate pair (5, 2) into the given equation, $2x+3y=10$ . if both sides of the equation end up equal, the coordinate pair is a solution to the equation. if not, the coordinate pair is not a solution to that equation.

(i hope i explained that well enough, i'm better at explaining it algebraically as opposed to putting it into words lol)

answer (algebraic/steps for solving)

first, plug in 5 for $x$ in the equation $2x+3y=10$ .

$2x+3y=10$ ⇒ $2(5)+3y=10$

then plug in 2 for $y$ .

$2(5)+3y=10$ ⇒ $2(5)+3(2)=10$

now your equation is $2(5)+3(2)=10$ . all that's left to do is to simplify. you can do this in whatever order you'd like, but i'll start with multiplying 2 · 5.

$2(5)+3(2)=10$ ⇒ $10 + 3(2) = 10$

multiply 3 · 2.

$10 + 3(2) = 10$ ⇒ $10 + 6 = 10$

add 10 + 6.

$10 + 6 = 10$ ⇒ $16=10$

16 and 10 are not equal, therefore (5, 2) is not a solution to the equation $2x+3y=10$ . in order for a coordinate pair to be the solution to an equation, both sides of the equation need to end up equal after solving and simplifying.

i hope this helps! have a great rest of your day <3

6 0

3 years ago