The length of a rectangle is 14.5 in and the width is 3.2 in. What is its areA

Answer:

  3x +2y -7

Step-by-step explanation:

The given expression can be simplified by combining like terms. Those are terms with the same variable. The commutative and associative properties of addition apply, as well as the distributive property.

   (2x +3y -7) +(x -y) . . . . . given

  = 2x +3y -7 +x -y . . . . . . eliminate (unneeded) parentheses

  = (2x +x) +(3y -y) -7 . . . . group like terms

  = (2+1)x +(3-1)y -7 . . . . . . combine coefficients of like terms (this is an application of the distributive property)

  = 3x +2y -7

Answer:

3.6/30 = 1/x

30/3.6 = 8.3333

1 inch = 8 1/3 feet

Answer:

24

Step-by-step explanation:

15 inches represent 30 feet = 30*12 inches = 360 inches

so 1 inch represent 360/15 = 24 inches

the scale factor is 24

Answer:

y=23x+204

Step-by-step explanation:

The Slope Intercept Form of the Equation of a Line is y=mx+c

where m is the Slope and c is the y-intercept

so for our problem m=Slope = 23

so the Equation will be y=23x+c

Now to find c just substitute by the given Point

-3=23*-9+c

c=204

so the Equation will be

y=23x+204

Answer:

(x +7) years old

Step-by-step explanation:

Joy= (4x +5) years old

Since Michael is (3x -2) years younger, we need to subtract (3x -2) from Joy's age to find out his age.

Michael

= (4x +5) -(3x -2)

= 4x +5 -3x +2 (expand)

= x +7

Thus, Michael is (x +7) years old.

Answer:

  132°

Step-by-step explanation:

An inscribed angle is half the measure of the arc it subtends. This means arc CB is twice the measure of inscribed angle CAB, so ...

  arc CB = 2×∠CAB = 2×40° = 80°

Arc AC is twice the measure of inscribed angle ABC, so ...

  arc AC = 2×∠ABC = 2×26° = 52°

The measure of central angle AOB is the same as the measure of arc AB.

  x = ∠AOB = arcs AC +arc CB = 52° +80°

  x = 132°

Answer:

school=6 hours

eating= 2.4 hours

sleep= 9.6 hour

homework= 2.4 hours

free time= 3.6 hours

Step-by-step explanation:

Using the permutation formula, as the order is important, it is found that 2520 distinct passwords can be made.

The order is important as abcde is a different password than edcba, hence the permutation formula is used.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 5 letters are chosen from a set of 7, hence:

[tex]P_{7,5} = \frac{7!}{(7-5)!} = 2520[/tex]

2520 distinct passwords can be made.

More can be learned about the permutation formula at https://brainly.com/question/25925367

Answer:

[tex]y = - 7[/tex]

Solving steps:

=> 26=-12y-9+7y

Step 1: Simplify both sides of the equation.

make y the subject of formula

=> 26=−12y+−9+7y

=> 26=(−12y+7y)+(−9)

Combine like terms

=> 26=−5y+−9

=> 26=−5y−9

Step 2: Flip the equation.

=> −5y−9=26

Step 3: Add 9 to both sides.

=> −5y−9+9=26+9

=> −5y=35

Step 4: Divide both sides by -5.

.=> [tex] \frac{ - 5y}{ - 5} = \frac{35}{ - 5} [/tex]

=> y = - 7

The pairs of shoes is an illustration of the point estimate of the population mean.

The teenagers have 30 pairs of shoes

The question is incomplete, as the dataset to determine the number of shoes is not given.

To answer the question, I will use the following dataset

50 26 26 31 57 19 24 22 23 38 13 50 13 34 23 30 49 13 15 51

The sample mean is an estimate of the population mean.

The sample mean is calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

So, we have:

[tex]\bar x = \frac{50 +26+ 26+ 31+ 57 +19 +24 +22+ 23 +38 +13 +50 +13 +34+ 23+ 30 +49 +13 +15+ 51}{20}[/tex]

Evaluate the sum

[tex]\bar x = \frac{607}{20}[/tex]

Evaluate the quotient

[tex]\bar x = 30.35[/tex]

Approximate

[tex]\bar x = 30[/tex]

Using the assumed values, the teenagers have 30 pairs of shoes

Read more about point estimate at:

https://brainly.com/question/15712887

The amount the customers pay is an illustration of a piecewise functions

The equations of the piecewise functions are: [tex]y = \left[\begin{array}{cc}5x&0 < x \le 5\\4x&x > 5\end{array}\right[/tex]

For the first function, we have the following points.

(x,y) = (0,0) and (4,20) for 0 < x <= 5

Since the line passes through the origin, the equation of the line would be:

[tex]y = \frac{y_1}{x_1} * x[/tex]

So, we have:

[tex]y = \frac{20}{4} * x[/tex]

[tex]y = 5x[/tex]   0 < x <= 5

For the second function, we have the following points

(x,y) = (8,32) and (9,36) for x > 5

The equation of the line would be:

[tex]y = \frac{y_1-y_2}{x_1-x_2} * (x - x_1) + y_1[/tex]

So, we have:

[tex]y = \frac{36-32}{9-8} * (x - 8) + 32[/tex]

[tex]y = 4(x - 8) + 32[/tex]

[tex]y = 4x - 32 + 32[/tex]

[tex]y = 4x[/tex]    x > 5

Hence, the equations of the piecewise functions are:

[tex]y = \left[\begin{array}{cc}5x&0 < x \le 5\\4x&x > 5\end{array}\right[/tex]

Read more about piecewise function at:

https://brainly.com/question/18859540

Answer:

3 is the answer

7 days make one week

21÷7 =3

Answer:

Asriel is correct because 2 times 2 is 4 and 2 times 3 is 6 and 2 times 5 is 10 so Asriel is correct.

Answer: Asriel & Adrian

Step-by-step explanation: 2x2 =4 (Ex: if you have 2 apples and was given 2 more you would have 4 in total)

2x3=6 (Ex: like if you have 2 oranges and was given 3 more you always have to count by your multiples.)

Step-by-step explanation:

m = number of minutes

x(m) = 0.05m + 0.3

y(m) = 0.04m + 0.2

to find the difference between both company plans we need to subtract y from x :

0.05m + 0.3 - (0.04m + 0.2) =

= 0.05m + 0.3 - 0.04m - 0.2 =

= 0.01m + 0.1

company x charges for n minutes

$0.01n + $0.1

more.

The value of x is 8.77

well, is simply the difference from what the bottle has and what she poured, hmm let's firstly convert the mixed fraction to improper fraction and then subtract.

[tex]\stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{2}~~ - ~~\cfrac{3}{4}\implies \cfrac{(2)5~~ - ~~(1)3}{\underset{\textit{using this LCD}}{4}}\implies \cfrac{10-3}{4}\implies \cfrac{7}{4}\implies 1\frac{3}{4}[/tex]

Answer:

B

Step-by-step explanation:

Combine like terms. Like terms have same variable with same power.

2x & (-12x) are like terms  and

-7x²  & 4x²  are like terms

A = 2x - 7x² + 3

B = 4x² - 12x

A + B = 2x - 7x² + 3 + 4x² - 12x

         = 2x  - 12x   - 7x² + 4x² + 3

         =  (2-12)x + (-7 + 4)x² + 3

           = -10x + (-3x²) + 3

          = -3x² - 10x +3

Answer:

15 Green crayons

Step-by-step explanation:

Ratio Yellow to green crayons

Thus, 6 → Yellow and 5 → Green

6       5

18      x

We need to divide 18 by 6 which is 3

5 x 3 = 15

Hence, Green Crayons ⇒ 15

[RevyBreeze]

15 green crayons

Step-by-step explanation:

Given:

To Find:

Solution:

Let,

If there 18 yellow crayons so,

6x = 18

x = 18/6 = 3 ...(1)

By putting the value of x from equation (1) :-

➝ 5x => 5 × 3

=> 15

Therefore, there are 15 green crayons.

Answer:

9r4

Step-by-step explanation:

8.4 + y = 10.7 108 = 9r 4.

Answer:

Step-by-step explanation:

Divide: 21/7

Your answer is 3

Answer:

(9,4)

Step-by-step explanation:

your welome

Answer: the answer is 39

Step-by-step explanation:

i just took the test

Answer: 39%

Step-by-step explanation: i took the test :)

Answer: 7:3 and 28:12

Step-by-step explanation:

The equivalent form of the given ratio is 7 : 3. The correct answer is option (b).

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

The given ratio is 14 : 6.

A ratio of two numbers a and b can be written in the form of fraction as,

a : b = a/b

Thus, the given ratio can be simplified as,

14 : 6 = 14/6

         = 7/3

Again it can be converted into the ratio as,

7/3 = 7 : 3

Hence, the equivalent ratio of the given ratio is 7 : 3.

To know more about ratio and proportion click on,

brainly.com/question/14279414

#SPJ2

Answer:

The easiest way to convert seconds to hours is to divide the number of seconds by 3,600. To understand the reason for this conversion, it can be helpful to set up conversion tables, in which you first convert the number of seconds to minutes, and then the number of minutes to hours.

Answer:

c

Step-by-step explanation:

for this question, it helps to know what cards are in the deck. since there are four of everything (four suits), there will be four 8's and four kings. this means that we are aiming for one of 8 cards. therefore, 8/52= .1538 or answer C.

Answer:

B.

[tex] \frac{1}{2} [/tex]