A 11 foot ladder is placed against a building. If the base of the ladder is 7 feet away from the building, how far up the building will the ladder reach? Round the answer to the nearest tenth.

Answer:

A factor is one of the constants or variables that is multiplied with another factor to produce a term. The term 4x has factors 4 and x. To factor means to separate what is being multiplied. So factoring “takes apart” the product of multiplying.

Alf would prefer to borrow from his parents because their rates are more favourable.

The future value of the loan if he borrows from his parents is given by this formula: A(1 + r)^n

Where:

A = amount  

R = interest rate  

N = number of years  

$15,000(1 + 0.0355)^4 = $17,246.13

The future value of the loan if he borrows from the local bank is given by this formula: : A x e^r x N

Where:

$15,000 x  2.7182818^0.035 x 4 = $62,137.18

To learn more about future value, please check: https://brainly.com/question/14640433

Answer:

47 percent *900 =

(47:100)*900 =

(47*900):100 =

42300:100 = 423

Now we have: 47 percent of 900 = 423

Question: What is 47 percent of 900?

Percentage solution with steps:

Step 1: Our output value is 900.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$900=100\%$.

Step 4: Similarly, $x=47\%$.

Step 5: This results in a pair of simple equations:

$900=100\%(1)$.

$x=47\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{900}{x}=\frac{100\%}{47\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{900}=\frac{47}{100}$

$\Rightarrow x=423$

Therefore, $47\%$ of $900$ is $423$

Answer:

41º

Step-by-step explanation:

As this is an isosceles B and D are congruent.

The sum of the angles in a triangle is 180º

Therefor

2x = 180 - 98

2x = 82

x = 41º

Answer:

.............................

Answer:

<2 = 28°

Step-by-step explanation:

3y+ 53 = 7y -55 (Corresponding angles)

collect like terms

-4y= -108

y= 27°

3y-53 = 28

<2 =28° (Alternating angles ; 2 parallel lines)

Answer:

6

Step-by-step explanation:

48/8=6

Answer:

The population was 3040 people in 8 years.

Step-by-step explanation:

find unit rate;

3800/10 = 380

380 x 8 = 3040

Answer:

[tex]7+3^{2} - 2[/tex] × [tex]5 < (\frac{3}{4} + \frac{1}{8} )[/tex] ÷ [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

so <

hope this helps!

Answer:

1.2!

Step-by-step explanation:

The value of the numerical expression 0.90 ÷ 0.75 in the decimal form will be 1.20.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

0.90 and 0.75

Then the division between the numbers 0.90 and 0.75 will be given by putting a division sign between them. Then we have

⇒ 0.90 ÷ 0.75

⇒ 0.90 / 0.75

⇒ 1.20

The worth of the mathematical articulation 0.90 ÷ 0.75 in the decimal structure will be 1.20.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

answer is A

I hope this helps!

Answer:

rate

Step-by-step explanation:

please mark me as brainliest

Answer:

if you meant (b+3)+(2^b-2), the answer is b+1+2^b

Step-by-step explanation:

but if you meant (b+3)+(2b-2), the aanswer is 3b+1

Answer:

3b+1

Step-by-step explanation:

(b+3)+(2b-2)

b+3+2b-2

3-2

b+1+2b

b+2b

3b+1

Answer:

15 - 17 = 0.013333 (1.3333%)

latte drop = 8.3%

gasoline = 9%

Answer:

B

Step-by-step explanation:

Use the amortisation formula:

A = P (r(1+r)^n)/((1+r)^n - 1)

swap in your numbers

p = 969.16

A = 20

n = 0.1524/12

20 = 969.16((0.1524/12) (1+(0.1524/12))^n) / ((1+(0.1524/12))^n - 1)

Then solve for n

n = 72 months

n = 6 years

Answer:

0.75 is what they each get.

Step-by-step explanation:

You need to divide 3 by 4.

Answer:

60 adult tickets were bought.

Step-by-step explanation:

9514 1404 393

Answer:

  80 tickets

Step-by-step explanation:

Let 'a' represent the number of adult tickets sold. Then a-30 is the number of student tickets sold. The total revenue is ...

  8a +4(a -30) = 840

  12a -120 = 840 . . . . . . eliminate parentheses

  a -10 = 70 . . . . . . . . . divide by 12

  a = 80 . . . . . . . . . . . add 10

The drama class sold 80 adult tickets.

__

Check

The number of student tickets was 30 less, so 50 student tickets. The total revenue was ...

  50($4) +80($8) = $200 +640 = $840 . . . . as required

Answer:

  10%

Step-by-step explanation:

If 40% failed chemistry then 60% passed chemistry.

If 19% failed both chemistry and physics, and 25% failed physics, then 6% passed chemistry and failed physics.

If we let p' represent failing physics and c represent passing chemistry, then ...

  P(p'|c) = P(p'c)/P(c)

  P(p'|c) = 6%/60% = 0.10 = 10%

If the randomly chosen student passed chemistry, the probability is 10% that he failed physics.

__

Your answer is correct.

To solve this problem, we can use conditional probability.

Let's assume that there were 100 students in the final exam.

According to the problem, 40% of the students failed chemistry, which means that 60% of the students passed chemistry.

To find the probability that a randomly selected student failed physics given that he passed chemistry, we need to use Bayes' theorem:

[tex]\sf P(Failed\: Physics | Passed\: Chemistry) = \dfrac{P(Failed\: Physics\: and\: Passed\: Chemistry)}{ P(Passed\: Chemistry)}[/tex]

We already know that P(Failed Physics and Passed Chemistry) = 6 students (from the Venn diagram), and P(Passed Chemistry) = 60 students (since 60% of the students passed chemistry).

Therefore,

[tex]\sf P(Failed\: Physics | Passed\: Chemistry) = \dfrac{6}{60} = 0.1\: or\: 10\%[/tex]

So the probability that a randomly selected student failed physics given that he passed chemistry is 10%.

hi i know i'm late but might as well add my answer!

here's your answer: B D E or

B.choosing 1 red marble

D.choosing 1 white marble, replacing it, and choosing another white marble

E.choosing 1 white marble    

hope i helped

Answer:

b d and e

Step-by-step explanation:

ya

Answer:

This will not produce an unbiased sample

Step-by-step explanation:

Reason for this is that not many people have phones believe it or not, therefore you are discriminating against the people without phones

Answer:

So it's a big probability it's a 6 in 4 chance though. 6 is for users that are careful and 4 for users that aren't that careful.

Step-by-step explanation:

The required probability is 0.981 that at least one of them is careful about personal information.

The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.

According to a survey, 63% of Internet users are more cautious about their personal information when using a public Wi-Fi hotspot.

Four randomly selected Internet​ users, at least one is more careful about their personal information.

As per the given question,

Here, n = 4, p = 0.63, (1 - p) = 0.37 and x = 0

As per binomial distribution formula P(X = x) = nCx × p^x × (1 - p)^(n - x)

P(X = 0) = 4C0 × 0.63^0 × 0.37^4

P(X = 0) = 0.0187

P(X ≥ 1) = 1 - 0.0187

Apply the subtraction operation, and we get

P(X ≥ 1) = 0.981

Thus, the required probability is 0.981 that at least one of them is careful about personal information.

Learn more about the binomial theorem here:

brainly.com/question/27813780

#SPJ2

Step-by-step explanation:

1.) 7=12 - 5 is true

4.) 6(7) - 2(12) = 22 is not true

Answer:

w > -6

Step-by-step explanation:

divide each term n 2x > -12 by 2 then simplify

To arrange in ascending order means to arrange numbers from the smallest value to the greatest value in the set of numbers provided.

9) 3.021 < 3.12 < 3.121 < 3.21

Look at the 1st decimal place after the point first. 0 is less than 2 & 1, so 3.021 is the least number. Now, for 3.12 & 3.121, look at the 3rd place. 3.12 = 3.120, so it’s smaller than 3.121. Then comes 3.21 which is the greatest number in this set.

10) 5.0090 < 5.05 < 5.059 < 5.5

Here, 5.0090 is the smallest number. Then comes 5.05 = 5.050 which is smaller than 5.059. 5.5 is the greatest number.

_________

RainbowSalt2222 ☔

Answer:

sorry don't speak Spanish