All categories

3 years ago

Which statements are true about the expression 8 (a + 7)? Check all that apply.

Mathematics

2 answers:

sdas [7]3 years ago

7 0

Answer:

Option 3)

8(a + 7) can be rewritten as 8(a) + 8(7).

Option 7)

An equivalent expression is 8a + 56

Step-by-step explanation:

We are given the following expression:

$8 (a + 7)$

We can simplify the expression by distributing 8 over (a+7).

Distributive property:

$a(b+c)\\=(a\times b) + (a\times c)\\=a(b) + a(c)\\=ab + ac$

Simplifying the expression, we get,

$8(a+7)\\=(8\times a)+(8\times 7)\\=8a + 56$

Thus, the correct options are:

Option 3)

8(a + 7) can be rewritten as 8(a) + 8(7).

Option 7)

An equivalent expression is 8a + 56

shepuryov [24]3 years ago

4 0

Answer:

Option 3.) 8(a+7) can be rewritten as b(a)+8(7)

Option 7.) An equivalent expression is 8a+56

Step-by-step explanation:

I’m really smart.

You might be interested in

Solve the system of equations by elimination. 2x−y+3z=−12x−y+3z=−1 x+2y−4z=−1x+2y−4z=−1 y−2z=0y−2z=0

masya89 [10]

The solution is
x=0 , y=0 , z=0

5 0

3 years ago

Vector b~ has x, y, and z components of 4.4, 9.6, and 5 units, respectively. what is the angle between b~ and the x-axis?

gayaneshka [121]

The simplest vector you can take along the x-axis is $\mathbf v=langle1,0,0\rangle$ .

Now,

$\mathbf b\cdot\mathbf v=\|\mathbf b\|\|\mathbf v\|\cos\theta$

where $\theta$ is the angle between the two vectors. You have

$\mathbf b\cdot\mathbf v=\langle4.4,9.6,5\rangle\cdot\langle1,0,0\rangle=4.4$
$\|\mathbf b\|=\sqrt{4.4^2+9.6^2+5^2}\approx11.68$
$\|\mathbf v\|=\sqrt{1^2+0^2+0^2}=1$

so that

$4.4=11.68\cos\theta\implies\cos\theta=0.3767\implies \theta\approx67.87^\circ$

8 0

3 years ago

A box without a top is to be made from a rectangular piece of cardboard, with dimensions 11 in. by 16 in., by cutting out square

kirill [66]

Answer:

• V = x(11 -2x)(16 -2x)

• x ≈ 2.1 in

Step-by-step explanation:

a) The volume of the box is the product of its depth (x), width (11 -2x) and length (16 -2x). The equation can be simply ...

v(x) = x(11 -2x)(16 -2x)

b) A graphing calculator can plot this equation directly. All that is needed is to enter it into the appropriate space provided by the calculator. The value of x that gives the greatest volume is the value that makes the function have a local maximum between x=0 and x=5.5 (where the volume is again zero).

That value of x is about 2.1 inches.