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2 years ago

How do I solve this?

1 answer:

6 0

You already know that y equals -4. It says that x equals 3, so multiply the -4 by 3 and because it has a negative number and a positive number it will equal -12. Remember anytime you see a letter after a number it means multiply. The complete problem should be -10 because 2 is a whole number you subtract it from -12. Hope that helped you out some.

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How can I solve ¾ - (-5/12)?

Oksana_A [137]

Answer:

$1 \frac{1}{6}$

Step-by-step explanation:

$\frac{3}{4}+ \frac{5}{12} =?\\$

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

$(\frac{3}{4}$ × $\frac{3}{3} )$ + $(\frac{5}{12}$ × $\frac{1}{1})=?$

Complete the multiplication and the equation becomes

$\frac{9}{12} + \frac{5}{12}$

The two fractions now have like denominators so you can add the numerators.

$\frac{9+5}{12} = \frac{14}{12}$

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 14 and 12 using

GCF(14,12) = 2

14÷2 / 12÷2 =7/6

The fraction

7/6

is the same as

7÷6

Convert to a mixed number using

long division for 7 ÷ 6 = 1R1, so

7/6= $1 \frac{1}{6}$

Therefore:

3/4 − (−5/12) = $1 \frac{1}{6}$

Solution by Formulas

Apply the fractions formula for subtraction, to

3/4 − (−5/12)

and solve

(3×12) − (−5×4) 4×12

=3/6− (−20/48)

=56/48

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF( 56,48) = 8

56÷8 / 48÷8 =7/6

Convert to a mixed number using

long division for 7 ÷ 6 = 1R1, so

7/6= $1 \frac{1}{6}$

Therefore:

3/4 − (-5/12) = $1 \frac{1}{6}$

8 0

1 year ago

Solve

NISA [10]

Answer:

$r = 0.01$

Step-by-step explanation:

In order to find r we have to square both sides of the equation

$0.1 = \sqrt{r} \\ {0.1}^{2} = { \sqrt{r} }^{2}$

The *square root* sign cancels out the *squared* sign therefore:

${0.1}^{2} = r \\ 0.01 = r$

6 0

2 years ago

If DM = 35, what is the value of r?

Gennadij [26K]

Answer:

$r = 11$

Step-by-step explanation:

Given

$DM = 35$

$DG = r + 5$

$GM = 3r - 14$

Required

Find r

From the question, we understand that G is a point between D and M:

This implies that:

$DM = DG + GM$

Substitute values for DM, DG and GM

$35 = r + 5 + 3r - 14$

Collect Like Terms

$r + 3r = 35 - 5 + 14$

$4r = 44$

Solve for r

$r = 44/4$

$r = 11$

3 0

3 years ago

When a whole number is multiplied by 10to the 5th power, how does the placement of the decimal point change? a It moves five pla

Sever21 [200]

Answer:

The correct option is;

a) It moves five places to the right

Step-by-step explanation:

Multiplying a whole number by 10 raised to a given (positive whole number) power, involves the shifting of the positioning of the decimal places to the right, depending on the value of the positive whole number power to which the 10 is raised

Similarly, multiplying a whole number by 10 raised to a given (negative whole number) power, involves the shifting of the positioning of the decimal places to the left, depending on the value of the negative whole number power to which the 10 is raised.

The reason is because, the number base generally used for arithmetic is in base 10 and multiplying or dividing by 10 is what is required to change a number's place value

Therefore, multiplying a whole number by 10 raised to the 5th power (10⁵) requires shifting the decimal place 5 places to the right

Example:

x.0 × 10⁵ = x00000.0

Where, x is a whole number.

7 0

2 years ago

Melissa can ride 20 miles on her bike in 8 hours how many miles can she ride an a hour

strojnjashka [21]

Answer:

2.75 miles in 1 hour

Step-by-step explanation:

3 0

3 years ago