MATHEMATICS MIDDLE SCHOOL

13 POINTS.+Betsey is 11 years older than Waldo. Betsey's age is 15 years less than three times Waldo's age. The system below models the relationship between Betsey's age (b) and Waldo's age (w):

b = w + 11
b = 3w − 15

Which of the following methods is correct to find Betsey's and Waldo's age?
Solve w + 11 = 3w − 15 to find the value of w.
Solve b + 11 = 3b − 15 to find the value of b.
Write the points where the graphs of the equations intersect the x-axis.
Write the points where the graphs of the equations intersect the y-axis.

Answers

Answer 1

Answer:

Answer:

Option 1st is correct

Solve w + 11 = 3w − 15 to find the value of w.

Step-by-step explanation:

Here b represents the Betsey's age and w represents the Waldo's age

As per the statement:

Betsey is 11 years older than Waldo. Betsey's age is 15 years less than three times Waldo's age.

The system below models the relationship between b and w:

$b = w+11$

$b = 3w-15$

Equate these equations to solve for w, we have;

$w+11 = 3w-15$

Add 15 to both sides we have;

$w+26= 3w$

Subtract w from both sides we have;

$26= 2w$

Divide both sides by 2 we have;

13 = w

w = 13 years

Substitute in b = w+11 we have;

b = 13 +11 = 24 years.

b = 24 years

Therefore. following methods is correct to find Betsey's and Waldo's age is:

$w+11 = 3w-15$

Answer 2

Answer: $w + 11 = 3w - 15 \n 2w=26 \n w=13 \n b = w + 11 \n b = (13) + 11=24$

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The mass of a tiger at a zoo is 135 kilograms. Randy's cat has a mass of 5,000 grams. How many times greater is the mass of the tiger than the mass of Randy's cat?

Answers

Randy's cat if 5 kilograms, so therefore the tiger's mass is 27 times larger than the mass of Randy's cat.

Well you have to convert randy's cat's weight from grams to kilograms. 1000 grams equals 1 kilogram so 5000 grams equals 5 kilograms. Randy's cat weighs 5 kilograms. So 135 - 5 = 130 kilograms. The tiger is 130 kilograms greater than Randy's cat

ANSWER PLEASE I WILL MARK AS BRAINLIEST

Answers

Answer:

Step-by-step explanation:

That's an odd way to represent 3.

1 day means 3 tablets are taken

30 days means that 3*30 tablets = 90 tablets

A recipe calls for 2 cups of flour of flour to make 3 dozen cookies. Is 3 cups of flour enough to make 60 cookies?

Answers

Answer:

no it is not

Step-by-step explanation:

it would be 54

Answer:

Step-by-step explanation:

2 cups of flour --> 36 cookies

3 cups of flour ----> x

2/3 = 36/x

x = 54 cookies

3 Cups of flour yields 54 cookies, but its not enough flour for 60 cookies.

Help please Math Geometry

Answers

It's the parallelogram. Therefore

ML = JK, JM = KL, m∠L = m∠J, m∠M = m∠K and m∠M + m∠L = 180°.

ML = 21 → JK = 21

JM = 29 → KL = 29

m∠L = 127° → m∠J = 127°

m∠M + m∠L = 180° → m∠M + 127° = 180° → m∠M = 53°

m∠M = 53° → m∠K = 53°

In three math tests, you have scored 91,95 and 88 points. You are about to take your next test. Suppose you want to have an average score of at least 90 points after all four tests. Explain a method you could use to find the score you must receive in order to average at least 90 points. The find the least score.

Answers

first you add up all the numbers then divide them by 3 then you get your answer:
91+95=186 186+88=274
274÷3=91.333333333and so on
next you add 90 to 27540
274+90=364
and since there are 4 tests you divide 364 by 4
364÷4=91
Answer-91

Answer:

You have to add up all the numbers then divide them by 3 and you will get your answer:

91+95=186 186+88=274

274÷3=91.333333333 etc.

then you add 90 to 27540

274+90=364

and because there are 4 tests you divide 364 by 4

364÷4=91

Your Answer-91

sorry answer is late!

Which of the following ratios will form a proportion with
2
3