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3 years ago

What is x for the equation 180=3× 3 (5×-18)?

1 answer:

7 0

Let's solve your equation step-by-step.180=(3)(3)(5x−18)Step 1: Simplify both sides of the equation.180=(3)(3)(5x−18) Simplify: (Show steps) 180=45x−162Step 2: Flip the equation.45x−162=180Step 3: Add 162 to both sides.45x−162+162=180+16245x=342Step 4: Divide both sides by 45.45x45=34245x=385Answer:x=385

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Find a set of parametric equations for y= 5x + 11, given the parameter t= 2 – x

Sati [7]

Answer:

$x = 2-t$ and $y = -5\cdot t +21$

Step-by-step explanation:

Given that $y = 5\cdot x + 11$ and $t = 2-x$ , the parametric equations are obtained by algebraic means:

1) $t = 2-x$ Given

2) $y = 5\cdot x +11$ Given

3) $y = 5\cdot (x\cdot 1)+11$ Associative and modulative properties

4) $y = 5\cdot \left[(-1)^{-1} \cdot (-1)\right]\cdot x +11$ Existence of multiplicative inverse/Commutative property

5) $y = [5\cdot (-1)^{-1}]\cdot [(-1)\cdot x]+11$ Associative property

6) $y = -5\cdot (-x)+11$ $\frac{a}{-b} = -\frac{a}{b}$ / $(-1)\cdot a = -a$

7) $y = -5\cdot (-x+0)+11$ Modulative property

8) $y = -5\cdot [-x + 2 + (-2)]+11$ Existence of additive inverse

9) $y = -5 \cdot [(2-x)+(-2)]+11$ Associative and commutative properties

10) $y = (-5)\cdot (2-x) + (-5)\cdot (-2) +11$ Distributive property

11) $y = (-5)\cdot (2-x) +21$ $(-a)\cdot (-b) = a\cdot b$

12) $y = (-5)\cdot t +21$ By 1)

13) $y = -5\cdot t +21$ $(-a)\cdot b = -a \cdot b$ /Result

14) $t+x = (2-x)+x$ Compatibility with addition

15) $t +(-t) +x = (2-x)+x +(-t)$ Compatibility with addition

16) $[t+(-t)]+x= 2 + [x+(-x)]+(-t)$ Associative property

17) $0+x = (2 + 0) +(-t)$ Associative property

18) $x = 2-t$ Associative and commutative properties/Definition of subtraction/Result

In consequence, the right answer is $x = 2-t$ and $y = -5\cdot t +21$ .

5 0

3 years ago

Antoine Purchase 1.8 kg of apples and 315 dekagrams of oranges This was 1350 g more than the weight of bananas bridges what was

victus00 [196]

Answer: 3600 grams

Step-by-step explanation:

A dekagram means 10 grams.

1 kilogram = 1000 grams

Therefore the total number of grams when Antoine Purchase 1.8 kg of apples and 315 dekagrams of oranges will be:

= (1.8 × 1000) + (315 × 10)

= 1800 + 3150

= 4950 grams

Since this was 1350g more than the weight of bananas, the weight of the bananas Antonio purchased in grams will be:

= 4950 - 1350

= 3600 grams

6 0

3 years ago

Let x be 3 4 + x + x + x = ?

IRINA_888 [86]

Answer:

Step-by-step explanation:

We replace each X with a 3, so

4 + 3 + 3 + 3

which equals to 13

7 0

3 years ago

Is 25% of a whole always the same amount ?

wel

Answer:

Not, will be the same proportion but the amount vary depending the specific case.

Best regards

6 0

4 years ago

Read 2 more answers

Use the mapping to determine which of the following are elements of the range.

Vadim26 [7]

Answer:

The elements of the range are the birthdays.

Step-by-step explanation:

A function is a distinct sort of relation in which each element of the domain is combined with precisely one element in the range. A mapping displays how the elements are combined.

A mapping figure comprises of two parallel columns. The 1st column signifies the domain of a function, and the other column for its range.

Lines or arrows are drawn from domain to range, to signify the relation between any two elements.

A function denoted by the mapping, in which each element of the range is combined with accurately one element of the domain is called one-to-one mapping.

From the diagram provided it is clear that the function denoted by the mapping is an one-to-one mapping.

The elements of the range are:

Birthday : {January 5 , January 7 , February 24 , March 1 , April 7 , May 30 , July 20 , August 1 , November 13 , November 26 }

Thus, the elements of the range are the birthdays.

6 0

4 years ago