58. The perimeter of a rectangular screen is 15 1/2 inches, and the ratio of its width to its height is 3.2.
Find the width and height of the screen.

Answer: [tex]5x-6[/tex] and  [tex]3x+2x-2-4[/tex]

Step-by-step explanation:

[tex]3x+2(x-1)-4[/tex]

[tex]Simplify[/tex], [tex]Evaluate[/tex], [tex]andFactor[/tex] [tex]the[/tex] [tex]expression[/tex].

[tex]add[/tex] [tex]the[/tex] [tex]similar-terms[/tex] [tex](3x[/tex] [tex]can[/tex] [tex]be[/tex] [tex]added[/tex] [tex]with[/tex] [tex]2x[/tex] [tex]and[/tex] [tex]-2[/tex] [tex]can[/tex] [tex]be[/tex] [tex]added[/tex] [tex]with[/tex] [tex]-4):[/tex]  [tex]5x-6[/tex] is correct!

[tex]Destroy[/tex] [tex]the[/tex] [tex]parenthesis[/tex] [tex]applying[/tex] [tex]applying[/tex] [tex]property[/tex] [tex]which[/tex] [tex]would[/tex] [tex]make[/tex]:[tex]3x+2x-2-4[/tex] [tex]the[/tex] [tex]correct[/tex] [tex]option[/tex].

Learn more: https://brainly.com/question/13361136

Answer:

First and the second

Step-by-step explanation:

3x + 2(x − 1) − 4

It is being simplified so both of the equations are equivelent to 3x +2(x-1)-4

Answer:

Factorial

Step-by-step explanation:

Factorial: Denoted by the exclamation mark (!). Factorial means to multiply by decreasing positive integers. For example, 5! = 5 ∗ 4 ∗ 3 ∗ 2 ∗ 1 = 120.

Hope this helped you<33

ok finally the answer was

(!). 4! simply means that we are taking the product of 4×3×2×1. See some examples below: 1! = 1 2! = 2×1 = 2

Answer:

7

Step-by-step explanation:

A prime number is a number which has no factors other than itself and 1. In other words, this number can only be divided by itself and 1 and result in a whole number answer. All of the other choices can be divided by some other numbers and result in a whole number answer.

Factors of 12:

1, 2, 3, 4, 6, 12

Facotrs of 15:

1, 3, 5, 15

Facotrs of 7:

1, 7

Factors of 6:

1, 2, 3, 6

Answer:

The number (7) is a prime number.

Factors of 2: 1 and 2 (Verifies the above definition)

Factors of 4: 1, 2 and 4 (Verifies the above definition)

Given number: 12

Let's list the factors of this number.

The number provided is not a prime number because the number has more than two factors. Therefore, Option A is not correct.

Given number: 15

Let's list the factors of this number.

The number provided is not a prime number because the number has more than two factors. Therefore, Option B is not correct.

Given number: 7

Let's list the factors of this number.

The number provided is a prime number because the number has exactly two factors. Therefore, Option C is correct.

Given number: 6

Let's list the factors of this number.

The number provided is not a prime number because the number has more than two factors. Therefore, Option D is not correct.

[tex]\overline{================================================}[/tex]

Learn more about Prime and Composite numbers:

i don't really understand your question, maybe there is more too it, than just that, i don't think i answered it completely, but i hope this help!

Answer:

T = 340 3 = 3 / T + 3 = 340

Step-by-step explanation:

"T" will be used as a variable, and to find out what "T" equals, we need to take the answer of the problem and take away "3", 343 - 3 = 340

"T" = "340"

T + 3 = 340

Not Verified!

Answer:

option 2 and I think 6

Step-by-step explanation:

I do not know about 6  but for sure 2

Answer:

[ 22 ]

Step-by-step explanation:

First you gotta add the cubes inside of it to find the volume then the ones outside you have to take them out and slant them then you have to fill the whole thing up and there you go [or you can just add all the numbers together for a easier explanation. ] Sorry if its wrong! ~Bread

Answer:

68 in³

Step-by-step explanation:

To find the volume of the figure, we first need to find the volumes of the 2 triangular prisms and 1 rectangular prism.

Triangular prism

[tex]{\boxed{\text{Volume}= \text{base area ×height}}}[/tex]

The base area here is the area of the triangular face, since it is the face that repeats itself throughout the entire length/height to form the volume of prism.

Base area

= area of triangle

= ½(base)(height)

= ½(2)(3)

= 3 in.

Height= 2 in.

Volume

= 3(2)

= 6 in³

Volume of rectangular prism

Volume

= base area ×height

= length ×breadth ×width

= 14(2)(2)

= 56 in³

Total volume

Volume of figure

= 2(6) +56

= 12 +56

= 68 in³

The amount of space an object occupies is known as volume.

The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.

Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.

The amount of space an object occupies is known as volume.

More about the volume and area link is given below.

https://brainly.com/question/15585435

#SPJ3

Answer:

a) 25

b) 55

c) 63

Step-by-step explanation:

Complementary angles add up to 90.

90-65=25

Supplementary angles add up to 180.

180-125=55

Vertical angles are equal.

a.90-65=25

b. 180-125=55

c. 180-63=117

We suppose that Joey forms an encasing ring around the round cake, basically going through the entire circumference of the round cake.

As circumference is

Answer:

192

Step-by-step explanation:

8 steps per 10 seconds

How many steps per 4 minutes?

First, find out how many 10-second intervals there are in 4 minutes.

4 minutes = 240 seconds

240 divided by 10 is 24

24 ten second periods times 8 steps per 10 seconds

192

192 steps in 4 minutes

Answer:

Step-by-step explanation:

Step 1

Find 20% of 200

For fraction: divide 20 by 100 and remove the % sign.

[tex]{20}\%=\frac{20}{100}[/tex]

For decimal: move the decimal point 2 places to the left and remove the % sign.

[tex]{20}\%=0.2[/tex]

Multiply the decimal or fraction by the quantity that equals 100%

[tex]100[/tex]%[tex]=200[/tex]

[tex]\frac{20}{100} *200=0.2*200=40[/tex]

20% of 200 is 40

Step 2

Find how much more or less earings did Lou sell than Jacob

40-35=5

So Lou sold 5 more rings than Jacob

Answer:

15

Step-by-step explanation:

6 times 3 equals 18, then you subtract 3 from that and thats the answer

Answer:

The point closest to the number 40

Step-by-step explanation:

To find volume of cone:

[tex]V=\pi r^{2} \frac{h}{3}[/tex]

(but in this case we will be substituting [tex]\pi[/tex] for it approximation: 3.14)

So our new equation is [tex]V= 3.14r^{2} \frac{h}{3}[/tex]

All right, let's get to work now.

We would next round to the nearest whole and our final answer is: 37

Hope this helps and feel free to comment, ask questions, give feedback, and correct me if wrong!

Have a great day! :)

Answer: the answer should be 9.22

Step-by-step explanation:

the formula is a^2 +b^=c ^

So 49 plus 36 equals 85

And the square root of 85 is 9.22

The area of a circle (in this case the pizza) is πr^2

The area will be 3.14 * 16 = 50.24 feet squared

A simple answer is that any given trapezoid with height h and length of the parallel lines a and b, is half of a parallelogram with an area of (a+b) x h. Since the trapezoid is half of this, it is h(a+b)/2

Answer:

c 2/9

Step-by-step explanation

Step-by-step explanation:

there is a right angled triangle.

25+4 = 29 = slant ht^2

h = 5.38 units

Answer:

Below

Step-by-step explanation:

Just made it up on the spot :)

Jared invited his friends over for lunch. He bought a pizza and ate 3/4 of it himself before calling his friends. He called Bob, Matombe, Steve, Owen, and Bill. Now, Jared must divide the 1/4 of the pizza into 5 parts for his friends to eat.

Answer:

Step-by-step explanation:

If 1/4 is divided by 5 we can think about it as 1/4 is a quarter of a whole and we need to divide that quarter in 5 equal parts.

Story Problem:

Alexa has 5 more days to finish reading the ELA book assigned by her teacher. She still has to read 1/4 of the book. What fraction of the book she should read on each of the 5 days to ensure she will be done in time?

(1/4 ) / 5 = (1/4) *(1/5) = 1 / 20

If Alexa reads 1/20 of the book each day she will finish the book in 5 days.

The mean of the scores is approximately 6.2. The correct answer is (C).

The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.

To calculate the mean of the scores based on the given frequency table, we need to multiply each score by its corresponding frequency, sum up the results, and then divide by the total frequency.

Let's perform the calculations:

(1 x 1) + (2 x 1) + (3 x 3) + (4 x 1) + (5 x 4) + (6 x 5) + (7 x 6) + (8 x 5) + (9 x 3) + (10 x 1) = 167

1 + 2 + 9 + 4 + 20 + 30 + 42 + 40 + 27 + 10 = 185

The total frequency is 1 + 1 + 3 + 1 + 4 + 5 + 6 + 5 + 3 + 1 = 30

Now, we divide the sum (185) by the total frequency (30) to find the mean:

185 / 30 = 6.1667

Rounding this value to the nearest tenth, the mean of the scores is approximately 6.2.

Therefore, the answer is C) 6.2.

Learn more about Arithmetic means here:

brainly.com/question/13000783

#SPJ3

Answer:

(2,6). (4,12). (5,15). (7,21)

Step-by-step explanation:

As the x axis has time, all the points on the time column are across.

As the y axis has distance, all the points on the column are up.

Co-ord 1:

(2,6)

Co-ord 2:

(4,12)

Co-ord 3:

(5,15)

Co-ord 4:

(7,21)

Answer:

It could be the probability or this for an example: 1/2 = an equal chance of getting 1 or 2, 3/4 = likely, 1/4 is going to be unlikely since you have a lower chance of something, and 4/4 = 1 = a certain chance of something happening.

Step-by-step explanation:

well it could be the probability.

Answer:

1/3

Step-by-step explanation:

First, we have to find the total amount of blue tiles

4 purple 6 blue 8 green

we have 6 blue tiles

Next, we have to find the the total amount of tiles

4+6+8=18

Now, we put it as a fraction then simplify

6/18=1/3

Answer:

You would divide.

Step-by-step explanation:

$851÷ $23= 37

Answer:

B) x²+2x-35=0; the factors are (x+7)(x-5)

Step-by-step explanation:

The quadratic equation which has the solutions as x = -7 and 5 may be x² + 2x - 35 = 0, the factors are (x + 7) and (x - 5) and (x + 7)(x - 5) = x² + 2x - 35.

Quadratic equations are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

Given that,

a quadratic equation has the solutions x = -7 and 5.

There are two options, x² + 2x - 35 and x² - 2x - 35

Using the factorization method, a quadratic equation ax² + b x + c = 0 can be factored as (x + p)(x + q) where pq = c/a and p + q = b/a.

Consider, x² + 2x - 35 = 0

There are numbers 7 and -5 that 7 - 5 = 2 and 7 × -5 = -35

So it can factored as,

(x + 7) (x - 5) = 0

Solutions are x = -7 and x = 5

Hence the quadratic equation is x² + 2x - 35 = 0.

Learn more about Quadratic Equations here :

https://brainly.com/question/30098550

#SPJ2

Answer:

B. 2nd Play and B. 2nd Play

Step-by-step explanation:

#1) Going negative means going backwards.

-8<10.5

#2) Absolute value means making all numbers INSIDE the two lines positive.

I-8I = 8

I10.5I = 10.5

Answer:

1) The length of the entire walkway to the nearest hundredth of a yard is 50.24 yds

2) 50.24 is a rational number

Step-by-step explanation:

1) To calculate the length of the walkway, you need to find "b"

the value of b using the Pythagoras theorem can be written as,

D²=12²+b²

15²=12²+b²

225=144+b²

b²=81

b=9

the value of each of the four hypotenuses can be written as,

A = [tex]\sqrt{12^2+8^2}[/tex] = [tex]\sqrt{208}[/tex] = 14.422

B = [tex]\sqrt{6^{2} +8^{2} }[/tex] = [tex]\sqrt{100}[/tex] = 10

C = [tex]\sqrt{6^2+9^2}[/tex] = [tex]\sqrt{117}[/tex] = 10.82

D = 15

Adding the value of all the hypotenuse to get the length of the walkway, therefore, the length will be,

14.422 + 10 + 10.82 + 15 = 50.24

So, the entire walkway to the nearest hundredth is 50.24

2) Because Irrational numbers are ones that never end.

50.24 is a nice, round number, even though its a decimal.

Answer:

50.24 - rational number

Step-by-step explanation:

Answer:

they paid 220

Step-by-step explanation: