Two sides of a triangle have lengths 8 and 16. Which expression describes the length of the third side?

greater than 8 and at most 24

at least 8 and at most 24

at least 8 and less than 24

greater than 8 and less than 24

Answer:

D

Step-by-step explanation:

Answer:

Area of rectangular garden = lxb = 10*5

                                             = 50 sq. inch

when area increases by six times

new area = 50*6 = 300 sq inches

now,

let x be increasement in both  length and width

(5+x) (10+x) = 300

50 + 5x + 10x + x² = 300

x² + 15x - 250 = 0

x²+ 25x-10x -250 = 0

x(x+25) - 10 (x+25) = 0

( x-10) (x+25) = 0

either x + 25 =0

x = -25 length can be negative

0r x-10 = 0

x = 10

so 10 inches is increase on both side

Step-by-step explanation:

Answer:

xy+5

Step-by-step explanation:

Answer: xy + 5

Work: So, we are going to divide everything by two. So, in the current equation, it divides everything by two, including the current two, which cancels it. So, after all the division, we get the current answer; xy + 5

I hope this helps, and Happy Holidays! :)

Answer:

32.64 < 3.264

7.489 < 7.498

0.350 > 0.305

9.164  <  9.614

Step-by-step explanation:

The first digit to the right of decimal point is in the tenths place. The second digit to the right of decimal point is in the hundredths place. The third digit to the right of decimal point is in the thousandths place. The fourth digit to the right of decimal point is in the ten thousandths place and so on.

Answer:

10-pack of Double Cheese Crisps cost $7.80 cost less per bag

Step-by-step explanation:

Step one:

given

10-pack of Double Cheese Crisps cost $7.80

15-pack of Cheddar Skins cost $11.85

Required:

The unit cost per bag

Step two:

The unit cost of 10-pack of Double Cheese Crisps cost $7.80 is

7.8/10= $0.78

The unit cost of 15-pack of Cheddar Skins cost $11.85 is

11.85/15= $0.79

Answer:

double cheese crisps

Answer: No

Step-by-step explanation: 6^2+7^2=85

8^2=64

Answer:

4c^2 - 3a^2 -7ac +6bc -ab

Step-by-step explanation:

solve first 3a( a + b + c) - 2b ( a+ b +c)

which is = 3a^2 + 3ab + 3ac - 2ab - 2b^2 -2bc

there for 4c(-a + b +c) -( 3a^2 + 3ab + 3ac - 2ab - 2b^2 - 2bc)

= -4ac-3ac +4bc+2bc -3ab+2ab + 4c^2 -3a^2

=4c^2 - 3a^2 -7ac +6bc -ab

Answer:

Original Cost: $76

Fee: 7.5%

Take 7.5% of 76 (76 times .075)  and add the result to the original amount $76

So, 76 times .075= 5.7

5.7+76= 81.7

Step-by-step explanation:

Answer:

There is two ounces of water for every ounce of vegetables.

Step-by-step explanation:

Given that:

Sam needs 16 ounces of water and 8 ounces of vegetables to make 1 batch of vegetable soup.

Ratio is defined as the quantitative relation between two numbers.

We will use ratio to compare the amount of water to amount of vegetables.

Ratio of water to vegetables

16 : 8

Dividing by 8

[tex]\frac{16}{8}:\frac{8}{8}[/tex]

2:1

Hence,

There is two ounces of water for every ounce of vegetables.

Answer:

$2,430

Step-by-step explanation:

Scale of the drawing = ⅓ in. to 1 ft

Measurement of the bathroom on paper = 3 in. by 3⅓ in.

Actual measurement of the bathroom:

3*3 = 9 ft

3⅓ * 3 = 10 ft

Area of the bathroom = 9*10 = 90 ft²

Let's find how many square tiles would cover 90 ft².

The side length of 1 tile is said to be ⅓ ft.

Therefore, the area of 1 tile would be ⅓*⅓ = ⅑ ft².

Number of tiles that would cover 90 ft² would be:

90/⅑ = 90*9

= 810 tiles

If 1 tile cost $3.00, therefore 810 tiles would cost:

810 * 3 = $2,430.

Step-by-step explanation:

Answer:

84.6 degrees

Step-by-step explanation:

138.6 - 54 = 84.6

Answer:

Blood clotting normally occurs when there is damage to a blood vessel. Platelets immediately begin to adhere to the cut edges of the vessel and release chemicals to attract even more platelets. A platelet plug is formed, and the external bleeding stops.The First World War fought in July 28, 1914.Diffusion is the net movement of anything from a region of higher concentration to a region of lower concentration. Diffusion is driven by a gradient in concentration.

Step-by-step explanation:

Answer:

The oldest Noel can be is 6

Step-by-step explanation:

6x3=18

18<20

Noel: 6

Noels' brother: 18

Answer:

The answer is D.

Step-by-step explanation:

Answer:option 2

Step-by-step explanation:

Answer:

im pretty sure its option number 2

Given:

The table of values is

Number of Students   :  7    14   21    28

Number of Textbooks : 35  70  105  140

To find:

The rate of change and showing that the ratios of the two quantities are proportional and equivalent to the unit rate.

Solution:

The ratio of number of textbooks to number of students are

[tex]\dfrac{35}{7}=5[/tex]

[tex]\dfrac{70}{14}=5[/tex]

[tex]\dfrac{105}{21}=5[/tex]

[tex]\dfrac{140}{28}=5[/tex]

All the ratios of the two quantities are proportional and equivalent to the unit rate.

Let y be the number of textbooks and x be the number of students, then

[tex]\dfrac{y}{x}=k[/tex]

Here, k=5.

[tex]\dfrac{y}{x}=5[/tex]

[tex]y=5x[/tex]

Hence the rate of change is constant that is 5.

Answer:

They multiplied the exponents instead of adding.

Step-by-step explanation:

Essentially, 2^2 x 2^3 is (2)(2) x (2)(2)(2) which is 5, not 6

Answer:

when it says times it doesn't mean times the powers it means add

basically the first one is correct

Answer:

75

explanation: because i looked it up

Answer:

x = 35

Step-by-step explanation:

we know that all triangles add up to 180

you first need to make an expression in which the angles equal 180

105 + 140 + x = 180

         145 + x = 180

subtract 145 from both sides

                  x = 35

Answer:

If you were to factor this inequality the answer would be

-6(4p+15)

If you were to simplify this inequality the answer would be

-24p-90

I don't really know how your question is set up or how your teachers teach this but here are two possible answers. I hope this helps

Answer:

12

Step-by-step explanation:

Let the unknown number be x.

8 = -4(1) + x

8 = -4 + x

x - 4 = 8

x = 8 + 4

x = 12

Answer:

[tex]a_{n}[/tex] = - 4n + 12

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = a₂ - a₁ = 4 - 8 = - 4 , then

[tex]a_{n}[/tex] = 8 - 4(n - 1) = 8 - 4n + 4 = - 4n + 12

Answer:

A

Step-by-step explanation:

Okay.

A negative exponent means we want to "flip" the term.

so we get

(1/-c^2)^1/3

When we get a fraction exponent, we want to "root" the term by that

so we get

[tex]\sqrt[3]{\frac{1}{-c^2} }[/tex]

Which simplifies to

[tex]\frac{\sqrt[3]{1} }{\sqrt[3]{-c^2} }[/tex]

Which becomes[tex]1/\sqrt[3]{-c^2}[/tex]

Answer:

The slope of the line represented by y = -5x is "-5".

Step-by-step explanation:

y=mx+b

M=slope

b=Y-intecerpt

Answer:

16

Step-by-step explanation:

To find 80% of 20, multiply .80 x 20

.80×20 = 16

This is how you multiply percentages--put the decimal point 2 places to the left, then multiply.  In this case, you're looking at 80%, so move the decimal point two places to the left

80.0 becomes .80

Then multiply that by the number you're trying to find the percentage of