squares of side x are cut from each corner of an 8 inches x 5 inch in rectangle, so that its sides can be folded to make a box with no top. define a function in terms of x that can represent the area of the base of the box
​

Answer:

The quantity of frosted donuts = 2

The quantity of glazed donuts = 9

The quantity of custard filled donuts = 1

Step-by-step explanation:

Let the quantity of frosted donuts = [tex]x[/tex]

Let the quantity of glazed donuts = [tex]y[/tex]

Let the quantity of custard filled donuts = [tex]z[/tex]

As per question statements, following equations can be made:

[tex]x+y+z=12......(1)\\2x+y+5z=18.....(2)\\x=2z ...... (3)[/tex]

Putting [tex]x=2x[/tex] in (1) and (2):

[tex]y+3z=12 .... (4)\\y+9z=18 .... (5)[/tex]

Subtracting (4) from (5):

[tex]6z=6\\\Rightarrow z =\bold{1}[/tex]

By equation (3):

[tex]x=\bold{2}[/tex]

By equation (1):

[tex]y=\bold{9}[/tex]

Therefore, the answers are:

The quantity of frosted donuts = 2

The quantity of glazed donuts = 9

The quantity of custard filled donuts = 1

Answer:

Oh thank you! This means a lot i needed this :)

Step-by-step explanation:

Answer:

Basically, what you do is multiply 4 times 5 ( this only applies when the numbers are in tens so like 10,20,30,40, etc.)

then after this you add the zeros of both numbers.

Step-by-step explanation:

so, this would be 2000

Answer:

The greatest common factor of 16 and 24 is 8. The least common multiple is 48.

Step-by-step explanation:

Hope this helps!

Answer:

1 (Integers and whole number)

Step-by-step explanation:

Given:

Rational number = 34 / 34

Computation:

34 / 34 = 1

Integers and whole number

An integer is descriptively measured by the number without even a fraction which can be written.

Step-by-step explanation:

-5/8 + 3/4

= -5/8 + 6/8

=1/8

Answer:  The correct answer is: [A]:

__________________________________________________

      " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 .   That value is the unit rate. "

__________________________________________________

Step-by-step explanation:

__________________________________________________

Note that the "unit rate" is the term that refers to:

a "quantity" / or "quantitative value" ;  

      →  of some type of "countable units"

{e.g. "currency"  — [such as:  dollars, cents,  pounds] ; "distance/length/ width/ height" — [such as:  miles, kilometers, meters, centimeters, yards, feet, inches] ;  pieces of fruits — [such as:  number of apples;  cans of soda, number of red dresses] ;  

__________________________________________________

per "single unit" of something — {e.g. per hour; per minute; per mile; per ounce; per hour; per dollar, per kilometer, per day, per week.

  {e.g.

            →    " 3 apples eaten  per [single] apricot eaten" ;

            →  " 46 miles per hour.

            →   " 8.3 cents per oz."  ;

            →  " 5 Liters of soda per dollar " ;

            →   " 2.3 grams per mole " ;

            →  " 4.6 mg solute / kg of solvent " ;  

            →  " 5 km / hr " ;  {that is:  " 5 km per hr " } .

            →  " 3 yds. per [single] square inch."

            →  " 35 parts per hundred" ; {that is:  " 35 percent" ; or: " 35 % " . } .

            →    " ... The cilantro is on sale for 33 cents per bundle ...} ."

  →  ... to provide a few examples.  

__________________________________________________

    On on Cartesian plane graph,  the  "x-axis" is located on the "horizontal axis" that represents the "independent variable" (or, at times, the "experimental value" — which can be manipulated — or "controlled" —or  be subjected to being "manipulated" / "controlled" / or, "selected".

  The "y-axis" is located on the "vertical axis" that represents the "dependent variable" (or, at times, the "control value") that cannot be "manipulated" / controlled/ or "selected" / since it represents the "y-value" of the corresponding coordinate to which the "x-value" happens to corresponds to at the given value for "x" .

  So, if the "unit rate" represents the "single unit rate" ;  we look at "x = 1 " ;  since we are "choosing" this particular "single" rate of per "single" (i.e. "1" ) ; so we do not have a choice in what "y-value" of the particular graph to select.  We can control the fact that we are "choosing" to find the "unit" rate, so we select the "independent variable" , "x = 1 " . We then examine the "corresponding y-value" that happens to exist when "x = 1 " .

{Note that we have "no control" over what that "y-value" is ; at the: "[point which:  " x = 1 .] . "

_________________________________________________  

→  As such, that "y-value" [insert that numeric "y-value" ;                        followed by the units represented by the "y-axis" ] ;

           per  " 1 " [insert "single unit" represented by the "x-axis" ] ;

_________________________________________________    

          →   is the:  "unit rate" .

__________________________________________________

So:  

   The correct answer is:    [A]:  

__________________________________________________

    " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 .   That value is the unit rate. "

Answer:

Step-by-stbhubhbhnhnkjnkjnep explanation:

Answer:

1) Standard form: y = ax2 + bx + c where the a,b, and c are just numbers.

2) Factored form: y = (ax + c)(bx + d) again the a,b,c, and d are just numbers.

3) Vertex form: y = a(x + b)2 + c again the a, b, and c are just numbers.

Answer:

894

Step-by-step explanation:

You'll just multiply 37 1/4 x 24... remember that the 32 mi doesn't count because it is not perpendicular to the base, if it's not perpendicular to the base than you will not multiply with it.

I learned this and also got this question!

Good Luck with the test!

Answer:

cvfbb

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:

1. 17.73 or 17 [tex]\frac{11}{15}[/tex] or [tex]\frac{266}{15}[/tex]

2. 5.32 or 5[tex]\frac{61}{188}[/tex] or [tex]\frac{1001}{188}[/tex]

Step-by-step explanation:

Each one is correct trust me ;)

Answer:

k = 10

Step-by-step explanation:

180° - 115° = 65°

(4k + 5) + (6k + 10) + 65 = 180

4k + 5 + 6k + 10 + 65 = 180

10k + 80 = 180

10k = 100

k = 10

Answer:

solution:

Answer:

506

Step-by-step explanation:

I did mentally

Answer:

506

Step-by-step explanation:

I hope this helps!

Answer:

The answer is 49.! :)

Step-by-step explanation:

If you look at the table, it shows 3;7. If you look at the 21 in the 2 row, and look under it in the other orange row its 49. So the answer would be 49! :)

Answer:

49

Step-by-step explanation:

Answer:

considering you didn't put anything to solve, I can't, but I will explain how

Step-by-step explanation:

basically, you multiple length x width. Considering you said surface area, which is normally used for prisms, you would find the are of the different rectangles and then add them all together if you were to do a rectangular prism.

Answer:

-610, -94, -0.75, 2.1, 53

Answer:

Marlina spent $654 on rent.

Step-by-step explanation:

Let the amount of money Marlina's received for her salary be x.

We know that she spent one-half of her salary on rent and then $338 on her electric and water bill. Therefore, the amount of money she has left can be so far can be represented by:

[tex]\displaystyle x-\frac{1}{2}x-338[/tex]

Next, she spent one-half of what was left on her phone bill. So, we can subtract one-half of the above expression to what we have so far.

[tex]\displaystyle x-\frac{1}{2}x-338-\frac{1}{2}\left(x-\frac{1}{2}x-338\right)[/tex]

Finally, she spent $56 for gas. Thus, we will subtract 56:

[tex]\displaystyle x-\frac{1}{2}x-338-\frac{1}{2}\left(x-\frac{1}{2}x-338\right)-56[/tex]

And we know that after all of the expenses, she will have $102 left. Therefore:

[tex]\displaystyle x-\frac{1}{2}x-338-\frac{1}{2}\left(x-\frac{1}{2}x-338\right)-56=102[/tex]

We want to know how much Marlina spent on rent. So, we can find her salary, since we know the rent is one-half of the salary. To find the salary, we will solve for x.

Distribute:

[tex]\displaystyle x-\frac{1}{2}x-338-\frac{1}{2}x+\frac{1}{4}x+169-56=102[/tex]

Rearrange:

[tex]\displaystyle \left(x-\frac{1}{2}x-\frac{1}{2}x+\frac{1}{4}x\right)+(-338+169-56)=102[/tex]

Combine like terms:

[tex]\displaystyle \frac{1}{4}x-225=102[/tex]

Add 225 to both sides:

[tex]\displaystyle \frac{1}{4}x=327[/tex]

Multiply both sides by 4:

[tex]x=\$ 1308[/tex]

Therefore, Marlina received a total of $1308 for her salary.

We know that she spent half of her salary on rent. Therefore, the amount she spent on rent is:

[tex]\displaystyle r=\frac{1}{2}(1308)=\$ 654[/tex]

Marlina spent a total of $654 on rent.

9514 1404 393

Answer:

  $654

Step-by-step explanation:

Let r represent the amount of Marlina's rent. Since that is half her salary, the amount remaining after paying rent is also equal to r. The disposition of that remaining amount is ...

  $338 on electric and water (E&W)

  (1/2)(r -338) on phone . . . this is half of what is left after paying E&W

  $56 on gas

  $102 unaccounted

__

The total of these amounts is equal to r, so we have ...

  r = 338 + 1/2(r -338) +56 +102

  1/2r = 338 -169 +56 +102 = 327 . . . . . eliminate parentheses, subtract 1/2r

  r = 2(327) = 654 . . . . . multiply by 2 to get r by itself

Marlina spends $654 on rent.

Answer:

the third one

Step-by-step explanation:

You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y increases by a constant rate, then a table is linear. You can find the constant rate by finding the first difference

Answer:

11

Step-by-step explanation:

10+1=11 lol bruh

Answer:

Maya grows hair

Step-by-step explanation:

Answer:Maya will not be bald anymore.

Step-by-step explanation:

Her hair is growing. sCiEnCe

Answer:

− 45 x  +  18 x^2

Step-by-step explanation:

Answer:

nonlinear, as it isnt consistent may be wrong

Step-by-step explanation:

Answer:

It is a function, but it is nonlinear

Step-by-step explanation:

Every input is compared with exactly one output.

Answer:

Commutative property of multiplication

Step-by-step explanation:

The commutative property of multiplication says that order doesn't matter in multiplication, and putting parenthesis affects the order, so that means the answer is commutative property of multiplication

Answer:

[tex] - 4x + 12 = - 4 \\ - 4x = - 4 - 12 \\ 4x = 4 + 12 \\ 4x = 16 \\ x = \frac{16}{4} = 4[/tex]

Given parameters:

Weight of box = 2kg

Average weight of an apple  = 0.25kg

Total weight of box filled with apples  = 12kg

Unknown:

Number of apples packed in each box = ?

Solution:

    Since 1 apple weighs 0,25kg, let us find the weight of the apples in the box

Box + apples  = 12kg

weight of box = 2kg

    Weight of apples  = 12kg - 2kg = 10kg

 So;

          0.25kg is the weight of 1 apple;

            10kg  of apples will equal     [tex]\frac{10}{0.25}[/tex]   = 40 apples

Therefore, 40 apples are packed in the box

Answer:

$10.36

Step-by-step explanation:

To answer this question, all you have to do is multiply:

4 * 2.59 = 10.36

So, Nate's mom spent $10.36 on crackers.

Hope this helps :)

Answer:

Nate's mom spent $10.36 on crackers.

Step-by-step explanation:

Answer:

(a) The probability that the new municipal bond issued will receive an A rating given that it was issued by a city is 0.196.

(b) Thus, the probability of municipal bonds issued by suburbs is 0.325.

Step-by-step explanation:

The data provided is as follows:

P (A) = 0.70

P (B) = 0.20

P (C) = 0.10

P (c | A) = 0.50

P (s | A) = 0.40

P (r | A) = 0.10

P (c | B) = 0.60

P (s | B) = 0.20

P (r | B) = 0.20

P (c | C) = 0.90

P (s | C) = 0.05

P (r | C) = 0.05

(a)

The Bayes' theorem states that the conditional probability of an event Y[tex]_{i}[/tex] given that another event X has already occurred is:

[tex]P(Y|X)=\frac{P(X|Y)P(Y)}{\sum\limits_{i} {P(X|Y_{i})P(Y_{i})}}[/tex]

Compute the probability that the new municipal bond issued will receive an A rating given that it was issued by a city as follows:

[tex]P(A|c)=\frac{P(c|A)P(A)}{P(c|A)P(A)+P(c|B)P(B)+P(c|C)P(C)}[/tex]

           [tex]=\frac{(0.50\times 0.70)}{(0.50\times 0.70)+(0.60\times 0.20)+(0.10\times 0.90)}\\\\=\frac{0.35}{0.56}\\\\=0.196[/tex]

Thus, the probability that the new municipal bond issued will receive an A rating given that it was issued by a city is 0.196.

(b)

The law of total probability states that:

[tex]P(X)=\sum\limits_{i} {P(X|Y_{i})}[/tex]

Compute the probability of municipal bonds issued by suburbs as follows:

[tex]P(s)=P(s|A)P(A)+P(s|B)P(B)+P(s|C)P(C)[/tex]

        [tex]=(0.40\times 0.70)+(0.20\times 0.20)+(0.10\times 0.05)\\\\=0.28+0.04+0.005\\\\=0.325[/tex]

Thus, the probability of municipal bonds issued by suburbs is 0.325.

Answer:

b

Step-by-step explanation:

pls brainliest

AnswAnswerer:

The relative frequencies add to 100% for each row.

Step-by-step explanation: