Which statement is true?

He rain caused the river to ride a total of 6 2/3 inches. The river was rising at an average of 2/3 of an inch each hour. How ma

Kobotan [32]

To find out how many hours it rained, divide the total rise in the river by the amount it rose every hour.

$\sf 6\dfrac{2}{3}\div\dfrac{2}{3}$

First convert the mixed number into an improper fraction. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:

$\sf\dfrac{20}{3}\div\dfrac{2}{3}$

When dividing fractions we flip(the reciprocal) the one we're dividing by and multiply:

$\sf\dfrac{20}{3}\times\dfrac{3}{2}$

Multiply the numerators and denominators together:

$\sf\dfrac{60}{6}$

Simplify by dividing:

$\boxed{\sf 10}$

So it rained for 10 hours.

5 0

3 years ago

Find the value of 151 - 4(32 - 2). -11 -33 7 -23

egoroff_w [7]

Steps to solve:

151 - 4(32 - 2)

~Distribute

151 - 128 - 8

~Subtract

23 - 8

15

Best of Luck!

3 0

3 years ago

What is the value of the expression |a + b| + |c| when a = –3, b = 7, and c = 1

Damm [24]

The answer is 5 hope this helps

6 0

3 years ago

Read 2 more answers

Mark got a 20% raise for his salary. If this salary was $1,800, what is his new salary

Marina86 [1]

100% = $1800
120% = $2160

:)

5 0

3 years ago

Read 2 more answers

Let x^2-mx+24 be a quadratic with roots x_1 and x_2. If x_1 and x_2 are integers, how many different values of m are possible?

iogann1982 [59]

An equation is a statement of equality „=‟ between two expression for particularvalues of the variable. For example5x + 6 = 2, x is the variable (unknown)The equations can be divided into the following two kinds:Conditional Equation:It is an equation in which two algebraic expressions are equal for particularvalue/s of the variable e.g.,a) 2x = 3 is true only for x = 3/2 b) x2 + x – 6 = 0 is true only for x = 2, -3 Note: for simplicity a conditional equation is called an equation.Identity:It is an equation which holds good for all value of the variable e.g;a) (a + b) xax + bx is an identity and its two sides are equal for all values of x. b) (x + 3) (x + 4) x2 + 7x + 12 is also an identity which is true for all values of x.For convenience, the symbol „=‟ shall be used both for equation and identity. 1.2 Degree of an Equation:The degree of an equation is the highest sum of powers of the variables in one of theterm of the equation. For example2x + 5 = 0 1st degree equation in single variable3x + 7y = 8 1st degree equation in two variables2x2 – 7x + 8 = 0 2nd degree equation in single variable2xy – 7x + 3y = 2 2nd degree equation in two variablesx3 – 2x2 + 7x + 4 = 0 3rd degree equation in single variablex2y + xy + x = 2 3rd degree equation in two variables1.3 Polynomial Equation of Degree n:An equation of the formanxn + an-1xn-1 + ---------------- + a3x3 + a2x2 + a1x + a0 = 0--------------(1)Where n is a non-negative integer and an, an-1, -------------, a3, a2, a1, a0 are realconstants, is called polynomial equation of degree n. Note that the degree of theequation in the single variable is the highest power of x which appear in the equation.Thus3x4 + 2x3 + 7 = 0x4 + x3 + x2 + x + 1 = 0 , x4 = 0are all fourth-degree polynomial equations.By the techniques of higher mathematics, it may be shown that nth degree equation ofthe form (1) has exactly n solutions (roots). These roots may be real, complex or amixture of both. Further it may be shown that if such an equation has complex roots,they occur in pairs of conjugates complex numbers. In other words it cannot have anodd number of complex roots.A number of the roots may be equal. Thus all four roots of x4 = 0are equal which are zero, and the four roots of x4 – 2x2 + 1 = 0Comprise two pairs of equal roots (1, 1, -1, -1)

8 0

3 years ago