Los números que son múltiplos de 6 son:

Jiyoung spent $82 at Uniqlo on shirts and shorts. She lost the receipt but knows that the shirts are

hoa [83]

its 3 shorts

Step-by-step explanation:

11×5= 55 82-55= 27 27÷9= 3

7 0

3 years ago

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The length of a rectangle is 2 foot less than 3 times its width. Find the the dimensions of this rectangle if the area is 96 squ

Xelga [282]

For example,area = a, length = l, width = w
First we write two equations. The easier equation is the area equation, which we know to be
a = l x w
So that the first equation is :
96 = l x w 

we make the second equation of the following statements :
The length of a rectangle is 2 foot less than 3 times its width.
so it becomes :
l = 3w - 2

To solve, we can use the substitution method.

$96 = l \times w\\96=(3w-2) \times w\\96=3w^{2}-2w\\3w^{2}-2w-96=0~~~~~~[now\ factor\ the\ equation]\\ (3w+16)(w-6)=0$

$3w+16=0\\3w=-16\\w= -\frac{16}{3}~~~~\Rightarrow~~~answer\ doesnt\ make\ sense\ , negative\ width.
$

$w-6=0\\\boxed{w=6~~~~~~~\Rightarrow~~~~positive\ answer\ for\ width\ makes\ sense }
$

So if our width is 6, Now substitute the value of w = 6 into equation 2 

$l=3w-2\\l=3(6)-2\\l=18-2\\l=16$

So "w" = 6 and "l" = 16, and if we multiply them together, we get the correct area, 96. So our dimensions are 6 by 16.

6 0

3 years ago

Tina Thompson scored 34 points in a recent basketball game without making any 3-point shots. She scored 23 times, making several

zheka24 [161]

F + g = 23
f+g-g=23-g
f = 23-g
f + 2g =34
23-g+2g=34
23+g=34
23-23+g=34-23
g = 11

f + g = 23
f + 11 = 23
f +11-11 =23-11
f = 12

Check
f + 2g =34
12 + 2(11) =34
12 + 22 = 34
34=34

She made 11 free throws and 12 field goals

6 0

4 years ago

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Select the correct choice that completes the sentence below.

vodomira [7]

$\sf \red⇛ \green {3a + 1 = 16}$