MATHEMATICS HIGH SCHOOL

What is the missing value in the equation

2 3/12+3\? =2 5/8

Answers

Answer 1

Answer:

2 3/12 +3/x = 2 5/8

simplify to

9x+12/4x = 21/8

Cross multiply

(9x+12)/(4x) = 21/8

(9x+12)*(8) = 21*4x

72x+96 = 84x

Subtract 84 x from both side

72x+96 - 84x = 84x -84x

-12x+96 = 0

Subtract 96 from both sides

-12x+96-96 = 0-96

-12x = -96

Divide both sides by 12

-12x/-12 = -96/-12

x = 8

The missing value is 8

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2x + y = 3 x - 2y = -1

If equation one is multiplied by 2 and then the equations are added, the result is _____.

Answers

4x+2y=6
X+2y=-1
I think you mean subtract the two.
That would get rid of the the y
3x=7 x=7/3
Then plug that into one of the organism equations

Answer:

Step-by-step explanation:

13) v2 - 110 + 18 = 0
14) 5x7 - 12x +7 = 0
Solve by factoring

Answers

Answer:

see explanation

Step-by-step explanation:

(13)

v² - 11v + 18 = 0 ← in standard form

(v - 2)(v - 9) = 0 ← in factored form

Equate each factor to zero and solve for v

v - 2 = 0 ⇒ v = 2

v - 9 = 0 ⇒ v = 9

solutions are v = 2, v = 9

(14)

5x² - 12x + 7 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 5 × 7 = 35 and sum = - 12

The factors are - 5 and - 7

Use these factors to split the x- term

5x² - 5x - 7x + 7 = 0 ( factor the first/second and third/fourth terms )

5x(x - 1) - 7(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(5x - 7) = 0

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

5x - 7 = 0 ⇒ 5x = 7 ⇒ x = $(7)/(5)$

solutions are x = 1, x = $(7)/(5)$

Calculate the density of a rectangular piece of wood from the following data:Length: 25 cm. Width: 10 cm. Height: 4 cm. Mass: 15 g
a.

0.015 g/cm3

c.

0.015 g/ml
b.

10.015 g/ml

d.

None of the above

Answers

Density is the measure of how a certain volume weighs. So to get the density, we divide the weight by the volume of a certain material. This probem already gave us the weight which is equal to 15 grams. Our next task is to get the volume of the material. This problem gave us the dimensions of the object. Hence the volume is just 1000cm^3 (note cm^3 =ml) The density is then 0.015 g/cm^3.

Answer: $\mathbf{a.\ 0.015\text{ g/cm}^3}$

Step-by-step explanation:

Formula for density = $\frac{\text{Mass}}{\text{Volume}}$

As per given , dimensions of a rectangular piece of wood:

Length: 25 cm. Width: 10 cm. Height: 4 cm.

Mass: 15 g

Volume of rectangular piece = Length x width x height

= 25 x 10 x 4 = 1000 cubic cm

Now , density = $(15)/(1000)=0.015\text{ g/cm}^3$

Hence, the correct option is $\mathbf{a.\ 0.015\text{ g/cm}^3}$

Which quadratic function has one real solution?A.0 = 2(x + 7)(x – 5)
B.0 = (x – 3)(x – 3)
C.0 = 2.4(x – 2)(x + 2)
D.0 = (x – 2)(x – 1)

Answers

Hello,

B; (x-3)² solution 3 multiplicity 2
others have two roots.

Answer:

The answer is B (0 = (x – 3)(x – 3))

Identify vertex and y-intercept of graph of function y= -3(x+2)^2+5

Answers

Hello,

Vertex=(-2,5)
x=0==>y=-3(0+2)²+5=-7

A= 1/2 bh solve for b

Answers

Answer:

b = $(2A)/(h)$

Step-by-step explanation:

Given

A = $(1)/(2)$ bh ( multiply both sides by 2 to clear the fraction )

2A = bh ( divide both sides by h )

$(2A)/(h)$ = b

Final answer:

The formula A = 1/2 bh is used to calculate the area of a triangle. To solve for 'b', you rearrange the formula by first multiplying both sides by 2 to get 2A = bh, then you divide both sides by 'h' so that 'b' stands alone, resulting in the formula: b = 2A/h.

Explanation:

In the given formula, A = 1/2 bh, it represents the area of a triangle where A is the area, b is the base, and h is the height. To isolate b, we need to rearrange the formula to solve for it. Here are the steps:

First, multiply both sides of the equation by 2 to get rid of the 1/2, giving you 2A = bh.
Then, divide both sides by h to isolate b which results in b = 2A/h.

So, if you want to solve for b, the rearranged formula is b = 2A/h.