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2 years ago

Which ordered pair is a solution of the equation y = 3x?

Mathematics

1 answer:

OleMash [197]2 years ago

5 0

Answer is D. (–10, –30)

when x = -10 then y = 3x = 3(-10) = -30

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Given the equation F=9/5C +32 where C is the temperature in degrees Celsius and F is the corresponding temperature in degrees Fa

pentagon [3]

Answer:

Step-by-step explanation:

7 0

2 years ago

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

The base of a right pyramid is a regular hexagon with sides of length 12 m. The altitude is 6 m. Find the total surface area of

Eva8 [605]

Answer:

806.12 m

Step-by-step explanation:

Step 1: Write the data

Side (s) = 12

Altitude (h) = 6

Step 2: Write the formula for surface area of right hexagonal pyramid

Area = 3√3/2*s² + 3*s*√(h²+3s²/4)

Step 3: Substitute values of 's' and 'h'

Area = 3√3/2*(12)² + 3*(12)*√[6²+3(12)²/4]

Area = 806.12 m

Therefore, the total surface area of the pyramid is 806.12 m.

4 0

2 years ago

Pls guys help me pls :c

Vinil7 [7]

Answer: A. $x\geq21\dfrac{2}{3}$ .

Step-by-step explanation:

The given inequation: $81-1\dfrac{1}{5}x\leq55$

$\Rightarrow\ 81-\dfrac{6}{5}x\leq55$

Multiplying 5 on both the sides, we get

$5(81-\dfrac{6}{5}x)\leq5\times55\\\\\Rightarrow\ 405-6x\leq275\\\\\Rightarrow\ 6x\geq405-275\\\\\Rightarrow\ 6x\geq130\\\\\Rightarrow\ x\geq\dfrac{130}{6}\\\\\Rightarrow\ x\geq\dfrac{65}{3}\\\\\Rightarrow\ x\geq21\dfrac{2}{3}$

Hence, the inequality for x is $x\geq21\dfrac{2}{3}$ .

So, the correct option is A. $x\geq21\dfrac{2}{3}$ ..

8 0

3 years ago

Find the indicated side of the right triangle x=

adell [148]

9514 1404 393

Answer:

x = 9
y = 9√2

Step-by-step explanation:

Side lengths in an isosceles right triangle have the reduced ratios ...

1 : 1 : √2

Yours have the ratios ...

9 : x : y

If you multiply the reduced ratios by 9, you can find the values of x and y.

9 : 9 : 9√2 = 9 : x : y

x = 9

y = 9√2

6 0

3 years ago