MATHEMATICS HIGH SCHOOL

Can someone explain lesson 6.3 math boxes in everyday math regarding the missing numbers on the number lines

Answers

Answer 1

Answer: just subtract the number infront of missing number to the opposing number

Answer 2

Answer:

Answer:points

Step-by-step explanation:

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Bob tells mark he has 3 kids, the product of their ages is 72, this is not enough info so he gives the sum of the ages then finally say My youngest child called Justice. What is the ages of the kids?

Answers

72 divided by 3 is 24.But he has a youngest child so there not all the same age. the 2 older is 26 and the youngest is 20 it would still equal 72. JUST IN CASE ITS A TRICK QUESTION.Either way you could change it up if you want it to be younger just take away 2 number from the other to.

24 because if the sum is 72 you divide 72 by 3 and you get 24

in a certain 9th grade class the no. of girls is 83 less than no.of boys the total no. of student is 259. write an expression to represent the relationship between this information.

Answers

259-83=b b is the number of boys b=176

Factor completely 2x2 + 9x + 4.(2x + 2)(x + 2)

(2x + 1)(x + 4)

(2x + 4)(x + 1)

(2x + 2)(x + 4)

Answers

Answer:

(2x + 4) ( x +1 ) are factors .

Step-by-step explanation:

Given : 2x² + 9x + 4.

To find : Factor.

Solution : We have given that 2x² + 9x + 4.

On factoring 2x² + 8x + 1x + 4.

Taking common 2x from first two terms and 1 from last two terms .

2x ( x +4 ) +1 (x +4 ).

On grouping

(2x + 4) ( x +1 ).

Therefore , (2x + 4) ( x +1 ) are factors .

The factored form of the polynomial 2x² + 9x + 4 is (2x + 1)(x + 4).

Hence the correct answer is 3rd.

Given is a polynomial 2x² + 9x + 4, we need to factorize it.

To factorize the polynomial 2x² + 9x + 4, we can use the factoring method.

Step 1: Multiply the coefficient of the quadratic term (2) with the constant term (4). In this case, 2 × 4 = 8.

Step 2: Find two numbers that multiply to give 8 and add up to the coefficient of the linear term (9).

In this case, the numbers are 1 and 8 because 1 × 8 = 8 and 1 + 8 = 9.

Step 3: Rewrite the middle term (9x) using the two numbers found in step 2. This will split the middle term into two parts.

2x² + 1x + 8x + 4

Step 4: Group the terms in pairs and factor out the greatest common factor from each pair.

(2x² + 1x) + (8x + 4)

Step 5: Factor out the greatest common factor from each pair.

x(2x + 1) + 4(2x + 1)

Step 6: Notice that we now have a common binomial factor, (2x + 1). Factor out this common binomial.

(2x + 1)(x + 4)

Therefore, the factored form of the polynomial 2x² + 9x + 4 is (2x + 1)(x + 4).

Hence the correct answer is 3rd.

Learn more about Factorization click;

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The hypotenuse of a right triangle is 6 inches and one of the legs is √ 6 inches, the exact value of the other leg is _______ inches.A. 15
B. √ 15
C. 30
D. √ 30

Answers

Answer:

The answer is the option D

$√(30)\ in$

Step-by-step explanation:

we know that

In a right triangle

Applying the Pythagoras Theorem

$c^(2) =a^(2)+b^(2)$

where

c is the hypotenuse

a and b are the legs

In this problem we have

$c=6\ in\na=√(6)\ in$

substitute and solve for b

$6^(2) =(√(6))^(2)+b^(2)$

$36 =6+b^(2)$

$b^(2)=30$

$b=√(30)\ in$

The answer is D
Cause it is right triangle, so through Pythagorean theorem, you can know the answer

3х – 13 = 23
Please give an explanation to the answer

Answers

Answer:

x = 12

Step-by-step explanation:

This equation is very easy to solve.

3x - 13 = 23 Add 13 to both sides of the equation.

3x = 36 Divide by 3 on both sides of the equation.

x = 12

Then, check your answer by substituting the solved value.

3(12) - 13 = 23

36 - 13 = 23

23 = 23

Therefore, x = 12 is the solution to the equation.

Answer:

x = 12

Step-by-step explanation:

3x - 13 = 23

Bring non-variable numbers to other side:

3x = 36

Divide both sides by 3:

x = 12

Vanessa has scored 45, 32, and 37 on her three math quizzes. She will take one more quiz and she wants a quiz average of at least 40. What is the minimum score Vanessa needs to earn on her fourth quiz? Enter your answer in the box.

Answers

Vanessa needs at least a 46 on the 4th quiz.

What is an average?

Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.

Given that Vanessa has scored 45, 32, and 37 on her three math quizzes. She will take one more quiz and she wants a quiz average of at least 40. The minimum score will be calculated as below:-

First, find the average of the three.

45 + 32 + 37 = 114

114÷3 = 38

4 total quizzes, for a 40 average on 4 quizzes, she needs

40 x 4 = 160 total points

For 3 quizzes she has,

45 +32 +37 = 114 points

For the fourth quiz,

160-114 = 46

Therefore, Vanessa needs at least a 46 on the 4th quiz.

To know more about an average follow

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