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dimaraw [331]
3 years ago
12

Learning Task 2: If a represents Arkin’s present age, how would you express each of the following in terms of variable a? Write

the answer in your notebook.
1. Arkin’s age 5 years ago
2. Thrice Arkin’s age
3. His age after 4 years
4. Two-thirds his present age
5. Twice his age after 3 years
Mathematics
1 answer:
lakkis [162]3 years ago
3 0

Answer:

1. a - 5 years

2. a × 3 =3a years

3. a + 4 years

4. 2|3×a = 2a|3 years

5. 2×a+3 = 2a+3 years

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Which expressions are equivalent to 2 (three-fourths x + 7) minus 3 (one-half x minus 5)? Check all that apply.
Mariulka [41]

Answer:

2(\frac{3}{4}x+7)+(-3)(\frac{1}{2}x+(-5))

2(\frac{3}{4}x)+2(7)+(-3)(\frac{1}{2}x)+(-3)(-5)

Step-by-step explanation:

The original expression given in the text is

2(\frac{3}{4}x+7)-3(\frac{1}{2}x-5)  (1)

And we want to check to what other expressions is equivalent. First of all, we solve it by writing explicitely each term:

\frac{3}{2}x+14-\frac{3}{2}x+15 (2)

Let's verify each of the other expressions separately. For the first one:

2(\frac{3}{4}x+7)+(-3)(\frac{1}{2}x+(-5))

We see that this is equivalent to expression (1), since the first half is identical, while in the second one, the combination "+-" can be simply written as "-", so we get

2(\frac{3}{4}x+7)-3(\frac{1}{2}x-5)

Which is equivalent to (1).

For the 2nd one:

2(\frac{3}{4}x)+2(7)+3(\frac{1}{2}x)+3(-5)

This is not equivalent. In fact, here we have applied the distributive property to each term: however, the 3rd and 4th term are not correct, because the (3) must be negative (-3), as in the original expression.

If we write it explicitely in fact, we get

\frac{3}{2}x+14+\frac{3}{2}x-15

Which is different from (2).

For the 3rd one:

2(\frac{3}{4}x)+2(7)+(-3)(\frac{1}{2}x)+(-3)(-5)

This one is equivalent. In fact, here we have applied the distributive property correctly. By solvign each term we get:

\frac{3}{2}x+14-\frac{3}{2}x+15

8 0
3 years ago
Read 2 more answers
Is the function x^3+7x even or odd?
Nimfa-mama [501]

Answer:

odd

Step-by-step explanation:

i looked it up

7 0
2 years ago
Idkkkkkkkkkkkkkkkkkkkkkkkkkk
aliina [53]

Answer:

24 sq. in

Step-by-step explanation:

your formula is A=h(b/2)

h=8

b=2

A=?

A=8(6/2)

A=8(3)

A=24

7 0
3 years ago
Read 2 more answers
If the radius is 18 cm and the angle at centre of circle is 120° then the
PolarNik [594]

The area of a sector is 339.336 cm²

The area of a sector is defined to be as the region of space bounded by a boundary from the center of the circle.

It can be determined by using the formula:

\mathbf{A = \dfrac{\theta }{360}\times \pi r^2 }

Given that;

  • Radius r = 18 cm
  • Angle θ =  120°

Then. the area of the sector can be calculated as:

\mathbf{A = \dfrac{120}{360}\times \pi (18)^2 }

\mathbf{A = \dfrac{1}{3}\times 3.142 \times 324 }

A = 339.336 cm²

Learn more about the area of a sector here:

brainly.com/question/7512468?referrer=searchResults

4 0
2 years ago
Plz answer correctly both questions if do will give brainliest!!!!
Marina86 [1]
54 square inches
Basically you just multiply
6 0
2 years ago
Read 2 more answers
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