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3 years ago

Simplify to create an equivalent expression 5+7(8r-2)

Mathematics

2 answers:

mr Goodwill [35]3 years ago

5 0

5+56r-14=56r-9. The correct answer will be D.56r-9.

gulaghasi [49]3 years ago

4 0

Answer:

The correct option is D.

Step-by-step explanation:

The given expression is

$5+7(8r-2)$

Using distributive property, the above expression can be written as

$5+7(8r)+7(-2)$ $[\because a(b+c)=ab+ac]$

$5+56r-14$

On combining like terms we get,

$56r+(5-14)$

$56r+(-9)$

$56r-9$

The expression 56r-9 is equivalent to the given expression.

Therefore the correct option is D.

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Rafael want to buy the same number of gifts bags and bows gifts bags are sold in packs of 6. Bows are sold in packs of 9. What i

GenaCL600 [577]

Answer:

Rafael should buy 9 gift bags and 6 bows packet so, that she can have SAME NUMBER OF ITEMS, i.e 54.

Step-by-step explanation:

The gift bags are sold in the packs of 6.

So, the number of gift bags in 1 packet = 6 gift bags

The number of gift bags in 2 packet = 6 x 2 gift bags = 12 gift bags

The number of gift bags in 3 packet = 6 x 3 gift bags = 18 gift bags

And continuing similarly, we get

The number of gift bags in 9 packet = 6 x 9 gift bags = 54 gift bags.. (1)

The bows are sold in the pack of 9.

So, the number of bows in 1 packet = 9 bows

The number of bows in 2 packet = 9 x 2 bows = 18 bows

The number of bows in 3 packet = 9 x 3 bows = 27 bows

And continuing similarly, we get

The number of bows in 6 packet = 9 x 6 bows = 54 bows... (2)

Here, comparing both equations (1) and (2) , we get

The number of gift bags = 54 = The number of bows.

Hence, Rafael should buy 9 gift bags and 6 packet of bows so, that she can have SAME NUMBER OF ITEMS, i.e 54.

8 0

3 years ago

a rectangle has a length of (x+3) centimeters and a width of 1/2x centimeters. If the perimeter is 24 centimeters, what is the l

bogdanovich [222]

Answer:

The length of the rectangle is 9 cm

Step-by-step explanation:

Given: The length of rectangle(l) = (x+3) cm and a width of rectangle (w) = $\frac{1}{2} x$ cm a

Also, perimeter of rectangle is 24 cm.

Perimeter of rectangle is to add the lengths of all the four sides.

Perimeter of rectangle (P) is given by;

P=2(l+w)

Substituting the value of P = 24 cm , l = (x+3) cm and w = $\frac{1}{2} x$

then,

$24 = 2 (x+3+\frac{1}{2} x)$

Divide by 2 both sides of an equation;

$12 = x+3+\frac{1}{2}x$

Combine like terms;

$12 =\frac{3x}{2} +3$

Subtract 3 from both the sides we get;

$12-3 = \frac{3x}{2} +3-3$

Simplify:

$9 =\frac{3x}{2}$

Multiply both sides by $\frac{2}{3}$ we get

$x = 9 \times \frac{2}{3} = 3 \times 2 = 6$

Therefore, length of rectangle(l) = (x+3) = 6+3 = 9 cm

6 0

3 years ago

Kiara is stacking wood. Kiara stacks sixty-five pieces of wood. There are only seven more pieces of wood for kiara to put on the

Dovator [93]

The answer is 72

You would have to add sixty-five plus seven

7 0

3 years ago

Read 2 more answers

Lesson 4 Solving One Variable Equation

aleksandr82 [10.1K]

Answer:

b = -³¹⁄₃

Step-by-step explanation:

We can solve this Algebra equation by separating the variable and constants.

3b + 15 = -26 - 20

3b + 15 = -46

3b = -31

b = -³¹⁄₃

3 0

3 years ago

The blue dot is at what value on the number line?<br> PLEASE HELP FAST

Elodia [21]

Answer:

-22

Step-by-step explanation:

The blue dot on the number line is 4 units below -10. The number -16 is also labeled, but it is instead just 2 units below -10. If -16 is 2 units below -10, then 2 units is equal to a distance of 6, which means 1 unit is equal to a distance of 3. Because the blue dot is 4 units below -10, the blue dot is 12 less than -10, meaning that the blue dot is at -22.

5 0

3 years ago