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1 year ago

Destiny just received two separate gifts from her great-great-grandmother.

Mathematics

2 answers:

hichkok12 [17]1 year ago

5 0

answer: 6 is the greatest number of snack bags that Destiny can make. Step-by-step

Step-by-step explanation:

The first gift is a box of 18 chocolate candy bars, and the second gift is a pack of 12 cookies.

lubasha [3.4K]1 year ago

5 0

Answer:

There are 6 snack bags that Destiny can make.

Step-by-step explanation:

Since we have given that

Number of chocolate candy bars in the first gift =18

Number of cookies in the second gift = 12

Since Destiny wants to use all of the chocolate candy bars and cookies to make identical snack bags for her cousins,

So, Destiny can make the greatest number of snack bags is given by

So, there are 6 snack bags that Destiny can make.

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Write an absolute value equation to satisfy the given solution set shown on a number line.

aivan3 [116]

Answer: IX - 4I ≤ 4

Step-by-step explanation:

In the numer line we can see that our possible values of x are in the range:

0 ≤ x ≤ 8

And we want to find an absolute value equation such that this set is the set of possible solutions.

An example can be:

IX - 4I ≤ 4

To construct this, we first find the midpoint M of our set, in this case is 4.

Then we write:

Ix - MI ≤ IMI

Notice that i am using the minor and equal sign, this is because the black dots means that the values x = 0 and x = 8 are included, if the dots were empty dots, it would be an open set and we should use the < > signs.

8 0

2 years ago

A rectangular pool 18 meters by 12 meters is surrounded by a walkway of width x

vesna_86 [32]

Answer:

x=3 meters

Step-by-step explanation:

step 1

Find the area of the rectangular pool

$A=LW$

we have

$L=18\ m\\W=12\ m$

substitute

$A=18(12)=216\ m^2$

step 2

Find the area of rectangular pool including the area of the walkway

Let

x ----> the width of the walkway

we have

$L=(18+2x)\ m\\W=(12+2x)\ m$

substitute

$A=(18+2x)(12+2x)$

step 3

Find the area of the walkway

To find out the area of the walkway subtract the area of the pool from the area of rectangular pool including the area of the walkway

$A=(18+2x)(12+2x)-216$

step 4

Find the value of x if the area of the walkway equal the area of the pool

$(18+2x)(12+2x)-216=216$

Solve for x

$(18+2x)(12+2x)=432\\216+36x+24x+4x^{2}=432\\4x^{2} +60x-216=0$

Solve the quadratic equation by graphing

The solution is x=3 meters

see the attached figure

8 0

2 years ago

4. A bank vault has 3 locks with a key for each lock. Key A is owned by the bank manager. Key B is owned by the senior bank tell

Amanda [17]

1 means that he is present, 0 means that he is not.

True means that they can open.

$\begin{array}{cccccccccccc} \text{X} &&& \text{Y} &&& \text{Z} &&& \text{True} \\1 &&& 1 &&& 1&&& 1 \\ 1 &&& 1 &&& 0&&&1 \\ 0 &&& 1 &&& 1&&&0 \\ 1 &&& 0 &&& 1&&&1 \\ 0&&& 1 &&& 0&&&0 \\ 0 &&& 0 &&& 1&&&0 \\ 1 &&& 0 &&& 0&&&0 \\ 0 &&& 0 &&& 0&&&0 \\ \end{array}$