What is 50 x 79 x 27 + 69

Answer:

11, 21, 31

Step-by-step explanation:

In a triangle with side lengths [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex], any two sides must have a sum larger than the third.

Using this rule, the possible side lengths out of these choices that could form a triangle are:

21,

11,

31

Answer:

550

Step-by-step explanation:

using my brain

Answer:

550

Step-by-step explanation:

common sense.........

Answer:

its 1/2

Step-by-step explanation:

because 1/2 of 10/10 is 5/10

Answer:

1

Step-by-step explanation:

[tex]\frac{5}{10}[/tex]= 0.5

[tex]\frac{1}{2}[/tex]= 0.5

therefore making them equivilant

Answer:

5.2

Step-by-step explanation:

I took the Quiz.

If An architect is reading a plan that is drawn on a scale of 0.65 inches to 1.25 ft. If the plan says that a room is 10 feet high, then the roof is 8.13 high in the drawing.

A fraction represents a part of a whole or, more generally, any number of equal parts.

Based on the given conditions formulate 1.25÷10=1+x

If the fraction is defined, the denominator cannot equal 0,x≠0

Append the inequality as the domain x≠0

Multiply both sides by the common denominator:

1.25×10x/10=10x/x

Reduce the fractions: 5x/4=10

5x=40

x=8

It is approximately near to 8.13 inches.

Hence, 8.13 inches high is the roof in the drawing.

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Answer:

a. decrease

b. recklessly

c. increase

Step-by-step explanation:

Suppose the large number of auto accidents in a small town results in new legislation that requires all citizens of the town to install new anti-lock brakes on their cars. These new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collisions with other cars and pedestrians more easily. The new brakes decrease the probability that a vehicle will collide with another vehicle but also give drivers an incentive to drive more recklessly which could potentially increase the number of car accidents.

Because the new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collision easily, drivers may become confident and drive recklessly which could potentially increase the number of car accidents

Answer:f

( x ) = x ,  g ( x ) = x 3 − 1 f ( x ) = x 4 + x 3 − 11 x 2 − 5 x + 30 ,  g ( x ) = 2 x − 2 f ( x ) = x 2 ,  g ( x ) = 7 x − 1

in short ways the answer is  7 x − 1

Hence , the sum is [tex]11x^2-8x-14[/tex].

In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Given , we need to add [tex]2x^2-8x-6[/tex] and [tex]9x^2-8[/tex].

So, we can write it as :

[tex]2x^2 -8x-6+9x^2-8[/tex]

Writing like terms together:

[tex]= 2x^2+9x^2-8x-6-8[/tex]

[tex]=11x^2-8x-14[/tex]

Hence , the answer is [tex]11x^2-8x-14[/tex].

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Answer:

18225

Use the formula: .

A = final amount

P = initial amount invested

r = annual interest rate

t = time (in years)

Insert all values in appropriate places.

Simplify.

A=16200(1+(0.025)(6))

Answer:

£18,225

Step-by-step explanation:

2.5% of £16,200 = £405

10% of £16,200 = £1,620

5% of £16,200 = £810

5 years: 16,200 + 5 x 405 = £18,225

Answer:

$288

Step-by-step explanation:

to find the area of one rectangular eave of the roof you have to multiply 24 by the hypotenuse of the 12 ft x 16 ft triangular side, so you can find that by using the Pythagorean Theorem

16² + 12² = c²

256 + 144 = c²

400 = c²

20 = c

Area of one eave = 24 x 20 = 480

Area of total roof = 480 x 2 = 960

set up a proportion to find cost ('x'):

30 =  x  

100    960

cross-multiply:  100x = 28800

x = $288

Answer:

$19,000 after five years

Step-by-step explanation:

1900 * .5 = 3800    one year

5 * 3800 = 19,000

Answer:

Area of big rectangle - area of mini rectangle

56in2 - 3in2

B. 53 in2

Step-by-step explanation:

Separate the two rectangleulsr shapes. 3x6 which equals 18.

8-3=5

5×7= 35

35+18= 53

B. 53 in sq

Answer:

114

Step-by-step explanation:

break apart the shape into 2 smaller shapes and you'll get 15 and 4 for the 1st shape multiply them and you'll get 60. Then for the second shape you'll get 6 and 9 multiply them and you'll get 54. Last add them together and you get 114. (Sorry if I get it wrong)

Given:

Consider the given function is [tex]f(x)=-(x+1)(x-3)(x+2)[/tex].

To find:

The remaining zero and y-coordinate of y-intercept.

Solution:

We have,

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

For zeros, [tex]f(x)=0[/tex].

[tex]-(x+1)(x-3)(x+2)=0[/tex]

[tex](x+1)(x-3)(x+2)=0[/tex]

[tex](x+1)=0,(x-3)=0,(x+2)=0[/tex]

[tex]x=-1,x=3,x=-2[/tex]

So, three zeros of given function are -1, 3 and -2.

Putting x=0 in the given function, we get

[tex]f(0)=-(0+1)(0-3)(0+2)[/tex]

[tex]f(0)=-(1)(-3)(2)[/tex]

[tex]f(0)=-(-6)[/tex]

[tex]f(0)=6[/tex]

So, the y-coordinate of y-intercept of the given function is 6. It means the y-intercept is at point (0,6).

Therefore, the zeros of the function [tex]f(x)=-(x+1)(x-3)(x+2)[/tex] are –1, 3, and -2 and the y-intercept of the function is located at (0,6).

Answer:

the ratio is 12:8 boys to girls

Step-by-step explanation:

if the amount of boys is 12 then multiply the 3 by 4 and using distribution multiply the 2 by 4 as well to get 8 girls

Answer:

The domain and the range of the function are, respectively:

[tex]Dom\{f\} = [0\,m,5\,m][/tex]

[tex]Ran\{f\} = [0\,m^{2}, 10\,m^{2}][/tex]

Step-by-step explanation:

Jina represented a function by a graphic approach, where the length, measured in meters, is the domain of the function, whereas the area, measured in square meters, is its range.

[tex]Dom\{f\} = [0\,m,5\,m][/tex]

[tex]Ran\{f\} = [0\,m^{2}, 10\,m^{2}][/tex]

Answer:

Step-by-step explanation:

Answer:

11) 4/11

12) -0.2

Step-by-step explanation:

Answer:

Because 8x6 gives you the same figure.

Step-by-step explanation:

Answer: 3 2/3

Step-by-step explanation:

how many groups of 3 can u make out of 11 units? Answer: 3

Rest overs: 2/3

Answer:

3 2/3

Step-by-step explanation:

3 can go into 11, 3 times. 3x3=9 and 11-9=2 so the mixed number would be 3 2/3

Answer:

120 i think

Step-by-step explanation:

$11.88 rounded to the nearest tenth is 10 and there are 12 months in one year and 10 times 12 is 120

Step-by-step explanation:

umm its false cause one thing isn't correct here.

like if we're asked to find the opposite of -5 itll be +5

and in Anita's case, she should have said, that the like for 2 the opposite will be -2 like just change the integers.

like for -, change it to positive and for +, change it to negative

have a great day :)

Answer:

cut the two lines at the corner, don't let the lines touch

Step-by-step explanation:

Two lines are drawn at corner of a big triangle and lines should not touch each other

Steps to draw the Pentagon & Triangle are as follow:

So two triangle and one pentagon is produced

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Answer:

1. 1900 children.

2. 600 adults.

Step-by-step explanation:

Let c represent the number children.

Let a represent the number of adult.

From the question given above, we were told that 2500 people entered the fair. This can be obtained as follow:

2500 = c + a ..... (1)

From the question given above, we were told that:

Cost per child = $ 2

Cost per adult = $ 4

Total amount collected = $ 6200

Thus, we can write the above as:

6200 = 2c + 4a .....(2)

Summary:

2500 = c + a ..... (1)

6200 = 2c + 4a .....(2)

1. Determination of the number of children that attended the fair.

From equation 1

2500 = c + a

Make a the subject by rearranging

a = 2500 – c ....... (3)

Substitute the value of 'a' in equation 3 into equation 2

6200 = 2c + 4a

a = 2500 – c

6200 = 2c + 4(2500 – c)

Clear bracket

6200 = 2c + 10000 – 4c

Collect like terms

6200 – 10000 = 2c – 4c

–3800 = –2c

Divide both side by –2

c = –3800 / –2

c = 1900

Thus, 1900 children attended the fair

2. Determination of the number of adults that attended the fair.

Substitute the value of c into equation 3.

a = 2500 – c

c = 1900

a = 2500 – 1900

a = 600

Thus, 600 adults attended the fair.

Answer:

25

Step-by-step explanation:

a1 = 9

a2 = a1 + 4

a2 = 9 + 4

a2 = 13

a3 = a2 + 4

a3 = 13 + 4

a3 = 17

a4 = 21

a5 = 21 + 4

a5 = 25

This can more easily be done by using this formula

L = a1 + (n - 1) * d

a1 = 9

n = 5

d = 4

L = 9 + (5 -1)*4

L = 9 + 4*4

L = 9 + 16

L = 25

Answer:

C (yogurt sales had a decresing trend)

Step-by-step explanation:

so because if you look over other staistics they are not true and this one is

The yogurt sales has been decreasing in the last four months of 2011, the correct option is C.

Graph is a mathematical representation of relation between two objects.

The pie chart, line graph and the data table has to be studies to answer about the trend that is followed for the customer purchases of ice creams and yogurt.

The yogurt sales has been decreasing in the last four months of 2011.

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Answer:

28 students would vote for kim

Step-by-step explanation:

Well first you do 12/15 which would be 0.8

Now to find how many students in that class said they would vote for Kim for class president, we multiply 0.8 by 35 to get that 28 students said they would vote for kim

Answer:

4 2/3

Step-by-step explanation:

hope this helps

Answer:  0.16 converted to a fraction is 4/25

Answer:

How would the function change if the base of the exponent were between 0 and 1? If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

just do 20x 6 and you get 120

Similar triangles may or may not be congruent

The area of triangle DEF is 800 square cm

The given parameters is

[tex]\triangle ABC \sim \triangle D EF[/tex]

This means that the triangles are similar.

The corresponding sides of the triangles are:

[tex]AC = 6[/tex]

[tex]DF = 20[/tex]

So, the scale factor (k) from ABC to DEF is:

[tex]k = \frac{D EF}{ABC}[/tex]

[tex]k = \frac{20}{6}[/tex]

Simplify

[tex]k = \frac{10}{3}[/tex]

The area of triangle DEF is then calculated as follows:

Area = Area of triangle ABC * k^2

So, we have:

[tex]A =72 \times \frac{10}{3} \times \frac{10}{3}[/tex]

[tex]A = 800[/tex]

Hence, the area of triangle DEF is 800 square cm

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