MATHEMATICS HIGH SCHOOL

The area of a rectangular hall is 153 sq. m. Its width is 9m. Find its length​

Answers

Answer 1
Answer:

Answer:       L = 17 m

Step-by-step explanation:

Our task is to find the length of the rectangular hall.

We know that:

  • The area of the hall is 153 m².
  • The width is 9 cm.

We need to find:

  • The length of the hall

Applying the formula,

  • \bf{A=LW}, where L = length, w = width

Substitute all the values:

  • \bf{153=L*9}
  • \bf{153=9L}
  • \bf{17=L}

Therefore, L = 17.
Answer 2
Answer:

Answer:17

Step-by-step explanation: h = 153/9

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The model represents x2 – 9x + 14.Which is a factor of x2 – 9x + 14?

A. x – 9
B. x – 2
C. x + 5
D. x + 7

Answers

Factorize the quadratic trinomial x^2 - 9x + 14 by the rule:

ax^2+bx+c=a(x-x_1)(x-x_2), \text{ where } x_1,\ x_2 \text{ are its roots. }

1. Find the roots:

2. Factorize the polynomial:

x^2 - 9x + 14=(x-2)(x-7).

3. Only factor x-2 is given in options, then the correct choice is B.

The factor of the given polynomial expression is (x - 2). So, option B.

Using variables and coefficients, polynomials are algebraic expressions. The word indeterminates is sometimes used to describe variables.

For polynomial expressions, addition, subtraction, multiplication, and positive integer exponents are all mathematical operations that are possible, however division by variables is not one of them.

The given polynomial expression is,

x²- 9x + 14

So, we can write that,

(x - a) (x - b) = x²- 9x + 14

So, we can write two equations,

ab = 14

a + b = 9

Therefore, we can say that,

a = 2 and b = 7

Therefore, the factors of the given polynomial expression is,

(x - 2) (x - 7) = x²- 9x + 14

To learn more about polynomial expression, click:

brainly.com/question/23258149

#SPJ6

As noted in an earlier chapter, Mars Inc. says that until very recently yellow candies made up 20% of its milk chocolate M&M’s, red another 20%, and orange, blue, and green 10% each. The rest are brown. On his way home from work the day he was writing these exercises, one of the authors bought a bag of plain M&M’s. He got 29 yellow ones, 23 red, 12 orange, 14 blue, 8 green, and 20 brown. Is this sample consistent with the company’s stated proportions? Test an appropriate hypothesis and state your conclusio

Answers

Answer:

there is no consistency with the company's stated proportions

Step-by-step explanation:

yellow 20 %

red 20 %

orange, blue and green 10 %

brown  50 %

From the authors purchase

yellow = 29

red = 23

orange = 12

blue = 14

green = 8

brown = 20

the total of all the purchase = 106

taking the probability of each will help us know the percentage

probability = required outcome / possible outcome

P(Yellow) = (29)/(106) \n\n=0.27\n\n</p><p>= 27 %</p><p>P(Red) = [tex](23)/(106) \n\n=0.21\n\n

= 21 %

P(Orange, blue and green) = (34)/(106) \n\n=0.32

= 32 %

P(Brown) = (20)/(106) \n\n= 0.18

= 18 %

from the question, we have that

i am going to tabulate the two outcomes together

the companies stated outcome  the outcome from our calculations

Yellow 20 %                                 versus      Yellow 27 %

Red 20 %                                      versus      Red 21 %

Orange, Blue and Green 10 %     versus     Orange, Blue and Green 32 %

Brown 50 %                                   versus     Brown 18 %

we can see from the above that there is no consistency with the company's stated proportion.

Lenny’s favorite radio station has this schedule:
A.
B.
C.
D.

Answers

I think the answer is 37/60

An alloy of tin is 15% tin and weighs 20 pounds. A second alloy is 10% tin. How many pounds of the second alloy must be added to the first to get a 12% mixture? 30 lb 40 lb 60 lb

Answers

so, they alloy is hmmm some piece of metal.

it has tin, among other metals, regardless of what other metals it may have, we know that for the first one, 15% is tin, the rest something else, and we also know that the alloy itself, weights 20 lbs.

now, how much is just the weight of the tin metal in it alone?  well, is 15% of 20 lbs, or (15/100) * 20, or 3 lbs, so of all those 20 lbs, only 3 lbs or 15% is tin.

for the second alloy, let's say we'll add "x" lbs, we know the second alloy is 10% tin, how much of that weight is tin?  well 10% of x, or (10/100) * x, or 0.10x lbs.

now, we're looking for a mixture, say the resulting lbs of mix will be "y" lbs, and we know the mixture will be 12% of tin, how much is 12% of y?  (12/100) * y, or 0.12y.

now, regardless of what "x" and "y" is, we know that 20 + x = y, and that 3 + 0.10x = 0.12y, thus

\bf \begin{array}{lccclll} &\stackrel{lbs}{amount}&\stackrel{tin~\%}{quantity}&\stackrel{tin~lbs}{quantity}\n &------&------&------\n \textit{15\% alloy}&20&0.15&3\n \textit{10\% alloy}&x&0.10&0.10x\n ------&------&------&------\n mixture&y&0.12&0.12y \end{array} \n\n\n \begin{cases} 20+x=\boxed{y}\n 3+0.10x=0.12y\n ----------\n 3+0.10x=0.12\left( \boxed{20+x} \right) \end{cases} \n\n\n 3+0.10x=2.4+0.12x\implies 3-2.4=0.12x-0.10x \n\n\n 0.6=0.02x\implies \cfrac{0.6}{0.02}=x\implies 30=x

Answer:

30 lb

Step-by-step explanation:

2a2b3 and -4a2b3 are like terms.
a. True
b. False

Answers

2a²b³ and -4a²b³ are like terms as they both have the same variables with the same degrees.

Your final answer is a. True.

Is 4/8 greater or less than 3/4

Answers

Less than because 1/2 is smaller than 3/4
4/8 simplifies to 1/2, and 1/2 is 0.5.

3/4 as a decimal is 0.75.

0.5 is less than 0.75, so 4/8 is less than 3/4.
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