Two rectangles are similar. The length and width of the first rectangle are 12
and 5, respectively. The length and width of the second rectangle are 14.4 and
6, respectively. The scale factor used to get from the first rectangle to the
second one is

Answer:

18 17/24

Step-by-step explanation:

for further reasoning how i got the awnser ask in the comments

Answer:18.7

Step-by-step explanation:

Answer:  [tex]\bold{L=\dfrac{S-2WH}{2W+2H}}[/tex]

Step-by-step explanation:

[tex]S=(2W+2H)L+2WH\\\\\\\underline{\text{Subtract 2WH from both sides:}}\\S-2WH=(2W+2H)L\\\\\\\underline{\text{Divide both sides by (2W + 2H):}}\\\\\dfrac{S-2WH}{2W+2H}=L[/tex]

Answer:

Step-by-step explanation:

(5y+4+3x)(5y+4-3x) = (5y+4)² - (3x)²......(from the difference of 2 squares )

by identity : (a+b)(a-b) = a² - b²

in this exercice ; a = 5y+4 and b  = 3x

Answer:

x = 7/8

Step-by-step explanation:

7/8 of 4 is 3.5

4x-9 = 3.5-9

Answer:

V = 392[tex]\pi[/tex]

Step-by-step explanation:

The volume of a cone is: V = [tex]\frac{1}{3} \pi r^{2} h[/tex]

diameter = 14  h = 24

diameter = 2r ---> r = 7

V = [tex]\frac{1}{3} \pi (7)^{2} (24)[/tex]

V = [tex]\frac{1}{3} \pi (49)(24)[/tex]

V = [tex]\frac{1}{3} \pi (1176)[/tex]

V = 392[tex]\pi[/tex]

Answer:

115%

Step-by-step explanation:

Set up the equation like this:

537.05 / 467 = x / 100

Cross multiply

467x = 53705

x = 115

Answer:

Jose incorrectly rounded $2.85 down to $2. The estimate should be $18.

Step-by-step explanation:

When we round 6.2 lb to the nearest pound we round down, because the digit after point is less than 5 (2<5), so

[tex]6.2\ lb\approx 6\ lb[/tex]

When we round $2.85 to the nearest dollar we round up, because the digit after point is greater than 5 (8>5), so

[tex]\$2.85\approx \$3[/tex]

Now, 6.2 lb of blueberries will approximately cost

[tex]\$3\cdot 6=\$18[/tex]

Hence, Jose incorrectly rounded $2.85 down to $2. The estimate should be $18.

Answer:

answer is B Jose incorrectly rounded $2.85 down to $2. The estimate should be $18. have a great day.

Step-by-step explanation:

Answer:

1 mile = 5280 feet

Step-by-step explanation:

To convert a distance of 12,000 feet to miles, we use this ratio:

1 mile = 5280 feet

? = 12,000 feet

Cross multiplying gives;

[tex]\frac{12,000}{5,280}[/tex] × 1 mile = 2.272727273 miles.

Answer:

B.

Step-by-step explanation:

Step-by-step explanation:

(r/s)(x)=3x-1

2x

(r/s)(6)=18-1/12

=17/12

one hour has 60 minutes, each minute has 60 seconds, so then an hour has 60*60 seconds, namely 3600 seconds.  How many miles does Seth travel in 3600 seconds?

[tex]\bf \begin{array}{ccll} miles&seconds\\ \cline{1-2} 1&57.1\\ x&3600 \end{array}\implies \cfrac{1}{x}=\cfrac{57.1}{3600}\implies 3600=57.1x \\\\\\ \cfrac{3600}{57.1}=x\implies 63.05 \approx x[/tex]

Answer:

In order to find miles per hour we must first change the time given to us (57.1 seconds) into hours. We will do this by first changing the seconds to minutes:

57.1 seconds / 60 = .952 minutes

Now we can change our minutes to hours:

.952 minutes / 60= .016 hours

Now to find miles per hour we divide the miles by our time:

1 mile / .016 hours = 63.04 mph

Answer:

x = 6

y = 24

Step-by-step explanation:

(14x + 4) + (16x - 4) <--- you add them because they are supplementary angles and are equal to 180°

(14x + 4) + (16x - 4) = 180

30x = 180

[tex]\frac{30x}{30} = \frac{180}{30}[/tex]

 x = 6

Then you plug in 6 to (14x + 4)

(14(6) + 4) = 84 + 4 = 88

180 - 88 = 92

Now subtract 92 from 180 and make it equal to (4y - 8) to get y.

 (4y - 8) = 180 - 92 ---> (4y - 8) = 88

                                           + 8    + 8

                                         4y = 96

                                          [tex]\frac{4y}{4} = \frac{96}{4}[/tex]

                                               y = 24

Answer:

Step-by-step explanation:

We have the vertical angles and supplementary angles.

Vertical angles are congruent. Therefore we have the equation:

[tex](1)\qquad14x+4=4y-8[/tex]

Supplementary angles add up to 180°. Therefore we have the equation:

[tex](2)\qquad(16x-4)+(14x+4)=180[/tex]

Solve (2):

[tex](16x-4)+(14x+4)=180\qquad\text{combine like terms}\\(16x+14x)+(-4+4)=180\\30x=180\qquad\text{divide both sides by 30}\\x=6[/tex]

Put the value of x to (1) and sole:

[tex]4y-8=14(6)+4\\4y-8=84+4\\4y-8=88\qquad\text{add 8 to both sides}\\4y=96\qquad\text{divide both sides by 4}\\y=24[/tex]

Answer:

16055=16000+55

16000mod16=0

55mod16=7

(7+0)mod16=7

its 7

Answer:

The value of x is 7

Step-by-step explanation:

we know that

If two figures are congruent, then the corresponding angles and the corresponding sides are equal

In this problem

Triangles ABC and DEF are congruent

ABC≅DEF

therefore

AB=DE ----> equation A

AC=DF ----> equation B

BC=EF ----> equation C

Substitute the given values in the equation B

[tex]8=2x-6[/tex]

Solve for x

[tex]2x=8+6[/tex]

[tex]2x=14[/tex]

[tex]x=7[/tex]

therefore

The value of x is 7

The draw in the attached figure

In congruent triangles ABC and DEF, given side lengths in ABC and the length of side DF as 2x-6, we set this equal to the corresponding length in triangle ABC. Solving for x gives the result x=7.

The subject of this question is Mathematics, specifically, the principle of congruent triangles in geometry. If two triangles are congruent, then their corresponding sides are equal. In the given congruent triangles, ΔABC and ΔDEF, AB corresponds to DE, BC to EF, and AC to DF. The length of DF is given as 2x-6, and its corresponding side AC in ΔABC is given as 8 units. Thus, we set 2x-6 equal to 8. Solving for x, we add 6 to both sides of the equation, resulting in 2x = 8 + 6. This simplifies to 2x = 14. Finally, dividing both sides by 2 results in x = 7.

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To find how many 2/5 cups are needed for 3 cups of sugar, divide 3 by 2/5, resulting in 7.5. Therefore, 7.5 of the 2/5 cups are required.

To calculate how many 2/5 cups are needed for a recipe that requires 3 cups of sugar, you can follow these steps:

Determine the total amount required: The recipe requires 3 cups of sugar.

Determine the measurement of the cup you have: You can measure using only 2/5 cups.

Calculate the number of 2/5 cups needed: Divide the total amount needed by the measurement of the cup you have.

This gives you the equation: 3 cups \/ (2/5 cups) = 15/2 = 7.5. Therefore, you will need 7.5 of the 2/5 cups to measure out 3 cups of sugar.

Answer:

All real numbers greater than or equal to -3.

Step-by-step explanation:

The domain of a function is defined as the x values that are a part of the function. Therefore, looking at the graph, we see that the domain is all real numbers greater than or equal to -3, because the function doesn't contain x values less than -3.

Answer:

75%

Step-by-step explanat

Find the total pairs:

2 +4 +18 = 24 total pairs.

18 pairs are white.

The probability is the number of white over the total number of pairs:

18/24 = 0.75 = 75%

The answer is 75%

Answer:

27

Step-by-step explanation:

3 x 9 = 27

you just multiply the two. (if it asks for temperature after the hours just subtract)

The temp dropped 27 degrees. 3 degrees times 9 nights is 27 degrees dropped. :)

Answer:

Step-by-step explanation: Alright so first you ditribute the 3 with 3m and - 2 so you will get 9m - 6 - 3 = 36 from there add all like terms like - 6 and - 3 so you will get 9m - 9 = 36 now we want variables in one side and normal numbers in the others so we add 9 to both sides so we get 9m = 45 now divide both by 9 so M = 5

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The value is less than 1.

She will play tennis today.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex]4^{-3}[/tex]

We will evaluate this expression.

[tex]4^{-3}[/tex] can be written as [tex]\frac{1}{4^{3} }[/tex]

This means,

= 1/(4 x 4 x 4)

= 1/64

= 0.016

This is less than 1.

We have,

If the value is greater than 1, she’ll play basketball.

If the value is equal to 1, she plays soccer.

If the value is less than 1, she will play tennis.

The value is less than 1.

Thus,

The value is less than 1.

She will play tennis.

Learn more about expressions here:

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The expression 'four to the power of -3' equals 0.015625. Since this value is less than 1, Julia will play tennis.

To evaluate the expression four to the power of -3, we have to understand how negative exponents work. A negative exponent means to divide 1 by the base raised to the power of the absolute value of the exponent. So 4^-3 is equivalent to 1/(4^3).

Let's do the maths:
4^3 = 4 * 4 * 4 = 64.
Then, 1/64 = 0.015625.

Therefore, four to the power of negative three is 0.015625.

Julia will choose activities based on the value of the expression - since the value is less than 1, in this case, she would play tennis.

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Answer:

all work is shown and pictured

Answer:

0.25 or 1/4

Step-by-step explanation:

3 1/2 x 1/14 = 0.25

Answer:

-9 /14

= -0.6428571

Step-by-step explanation:

so basically, you simplify it by turning the mixed number into an improper fraction and then multiplying it (=-9/14) then, divide numerator by denominator and you have your answer!   -0.6428571!!!

Answer:

$5.31

Step-by-step explanation:

If you times $.59 seven times you will get $4.13.  

Then, you will have to add $.59 two times.

Finally, you will get $5.31 .

The cost will be $1.60 in the 19 ounces if the 7 ounces of cola costs $.59.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b, will be the denominator.

The proportion is a nature of a variable to another for example if we say x ∝ y then it will be a direct relation instant if we say x ∝ 1/y then it will be inverse relation.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given,

7 ounces ⇒ cost $0.59

Divide by 7 into both sides

7/7 ounces ⇒ cost $0.59/7

1 ounce ⇒ cost $0.084

Multiply both sides 19

19×1 ounce ⇒ cost $0.084 × 19

19 ounce ⇒ cost $1.60

Hence in 19 ounces of cola, it will cost $1.60.

For more information about ratio and proportion

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Answer:

total cost of putting carpet in both rooms is $3692.42

Step-by-step explanation:

given data

living room length = 24 feet

living room width = 15 feet

dining room is square so length and width will be same

dining room length = 13 feet

dining room width = 13 feet

carpet costs =  $6.98 per square foot

to find out

what is the total cost of putting carpet in both rooms

solution

first we find the total area of both room that is

area of living room = length × width      .................1

area of living room = 24 × 15

area of living room = 360 feet²      ...........................2

and

areas of dining room = length × width

area of dining room = 13 × 13

area of dining room = 169 feet²    ...............................3

so total area = add equation 1 and 2

total area = 360 feet² + 169 feet²  

total area = 529 feet²  

and

total cost of putting carpet in both rooms are = total area × carpet costs    .................4

put here value

total cost of putting carpet in both rooms  = 529  ×  $6.98

total cost of putting carpet in both rooms  =$3692.42

The calculated total square footage that needs carpeting is 529 square feet. At $6.98 per square foot, the total cost of carpeting both rooms would be $3,690.42.

The subject of this problem is mathematics, specifically the topic of area calculations and cost analysis. First, calculate the area for both rooms. The area of a rectangle is given by the formula length x width, so the area of the living room is 24 feet x 15 feet which equals 360 square feet. As the dining room is a square, its area is side x side, thus 13 feet x 13 feet equals 169 square feet.

Then, add these to get the total square footage that will need carpeting, which is 360 + 169 = 529 square feet.

Lastly, multiply this total area by the cost per square foot for carpeting. This gives $6.98 x 529 square feet = $3,690.42. So, the total cost of carpeting both rooms would be $3,690.42.

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Answer:

Bot

Step-by-step explanation:

5.5 divided by 3.5 is 1.57142857 when solved, but when rounded, you will get 1.6, or 1.57.

Hope this helped!

Nate

Answer:

The measure of angle JAM is 55°

Step-by-step explanation:

The correct question is

Find the measure of angle JAM

See the attached figure to better understand the problem

step 1

Find the measure of angle JAK

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

so

m∠JAK=(1/2)[arc KJ+arc LM]

substitute the given values

m∠JAK=(1/2)[170°+80°]=125°

step 2

Find the measure of angle JAM

we know that

m∠JAK+m∠JAM=180° ------> by supplementary angles

we have

m∠JAK=125°

substitute

125°+m∠JAM=180°

m∠JAM=180°-125°=55°

Answer:

The answer is 55

Step-by-step explanation:

Answer:

terminating

Step-by-step explanation:

20 is a factor of a 100

20 × 5 = 100

therefore 19 × 5= 95

So in decimal form it's 2.95