What is the minimum number of triangles needed to construct a hexagon?

Answer:

The new rate would be  3.75%

Step-by-step explanation:

Purchasing a point simply implies negotiating for a lower rate of interest, which involves paying 1% of the loan in lieu of 1% interest reduction.

A point implies a reduction in interest rate by 0.25% while 3 points would reduce the interest rate by 0.75%(0.25%*3)

New interest rate=4.5%-0.75%=3.75%

Answer: mine was: 4.125%

Step-by-step explanation:

Answer:

Sale-person's total salary for the year is  $ 82,050

Step-by-step explanation:

Base salary of salesperson = $37,000

commission percentage of salesperson = 17% of sales

sales made in a year = $265,000

commission for salesperson in $ = 17% of sales

commission for salesperson in $ = 17 / 100 *  $265,000 = $45,050

Thus, total commission for the given year salesperson is   $45,050

Total salary for year = Base salary + total commission for the given year

Total salary for year = $37,000  +  $45,050 = $ 82,050 (Answer)

Answer:

6.48

Step-by-step explanation:

you have to use the sin rule

Answer:

6.48

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Recall that [tex](g \circ f)(x)=g(f(x))[/tex]. In other words, we need to find [tex]f(x)[/tex] first and then put that value into [tex]g(x)[/tex].

We need to find [tex](g \circ f)(4) =g(f(4))[/tex]

[tex]f(x)=4x-2\\[/tex]

[tex]f(4)=4(4)-2=14[/tex]

[tex](g \circ f)(4) =g(f(4))=g(14)[/tex]

[tex]g(x)=-6x^2-8x-8[/tex]

[tex]g(14)=-6(14)^2-8(14)-8[/tex]

[tex]g(14) = (g \circ f) (4) =-1296[/tex]

Answer:

The answer is C. Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair.

Hope this helps!

Stay safe at home :)

(those of you doing edge hang in there!)

The y intercept of the problem is equal to 25+14.1/30*x.

The total cost is the sum of the fixed cost and the variable cost to make a product.

x is showing no. of bruchers

y is showing total cost.

Total cost for 35  bruchers=41.45

Total cost for 65 bruchers=55.55

The points are (35,41.45), (65,55.55)

The y intercept can be calculated as :

y-41.45=(55.55-41.45/65-35)*(x-35)

30y-14.1x=750

y=25+14.1/30*30

Hence the value of y intercept is 25+14.1/30*30.

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Answer:

36 percent.

Step-by-step explanation:

We have been given that 11 percent of people of the peach have white towels, and 53 percent have blue towels.

With this information, we can find the remaining percentage of people that have red towels.

Recall that the total percentage is always 100 percent.

lets make r for the percentage of people that have red towels.

You can solve it by changing it to fraction, decimal, or just keep it at percent.

I will show you all of the possible ways.

Percent:

11 percent plus 53 percent plus r =100 percent

combine the like terms, or add 11 plus 53 to simplify the equation.

You have 64 percent plus r =100 percent Our goal is to isolate r, so subtract both sides by 64 percent.

100-64 is 36 percent.

r=36 percent of people who have red towels.

With fractions.

Write it as 11/100 plus 53/100 plus r/100= 100/100.

Combine the fractions.

64/100 plus r/100=100/100.

Subtract both sides by 64/100.

You are left with r=36/100, 9/25, or 36 percent.

With decimals.

11 percent as a decimal is 0.11. Just move the decimal spot 2 times. In 11, since you can write it as 11.0, you move it to the right twice.

53 percent is 0.53.

r is r.

100 percent is 1.

0.11 plus 0.53 plus r=100

Combine or add 0.53 and 0.11. That is 0.64.

Subtract both sides by 0.64.

You get r to be 0.36 or 36 percent.

I hope this helps, and I hope you have a good day!

Answer:

[tex]percentage \: of \: people \: who\: have \: white \\ towels = 11 \\ percentage \: of \: people \: who \: have \: blue \: \\ towels = 53 \\ percentage \: of \: people \: who \: have \: \\ white \: and \: blue \: towel \\ = 11 + 53 \\ = 64 \\ percentage \: of \: people \: who \: have \ \: red \\ towels = 100 - 64 \\ \: \: \: \: \: \: \: \: \: \: \: = 36[/tex]

hope this helps ..

Good luck on your assignment

Answer:

5 children & 7 adults

Step-by-step explanation:

6a+10b=100$

a=5

b=7

(6×5)+(10×7)=30$+70$=100$

The required system of equation is given be x + y = 12 and 10x +6y = 100.

A group of 12 people went to see a movie. The cost to go to the movie is $10 for an adult and $6 for a child. The total cost for the group was $100.

The equation is the relationship between variables and is represented as an example y = x +2 of a polynomial equation.

Let the number of adults be x and the number of a child be y.

Total people = x + y
20 = x + y  - - - - -(1)

The cost to go to the movie is $10 for an adult and $6 for a child.

10x + 6y = total cost
The total cost for the group was $100.
10x + 6y = 100  - - - - (2)
Equations 1 and 2 represent the required system of equations.

Thus, the required system of equation is given be x + y = 12 and 10x +6y = 100.

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[tex]answer \\ < a = 114 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer: y=4/5x-2 or y=4/5x+(-2)

Step-by-step explanation:

The formula for slope-intercept form is y=mx+b.

To find the slope, we can use the formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] and plugging in the points given.

[tex]m=\frac{6-2}{10-5} =\frac{4}{5}[/tex]

We know our slope is 4/5. We can plug this into our slope-intercept form and then plug in a point to find b, y-intercept.

[tex]y=\frac{4}{5} x+b[/tex]

[tex]2=\frac{4}{5}(5)+b[/tex]

[tex]2=4+b[/tex]

[tex]b=-2[/tex]

We know the y-intercept is -2.

THe final equation is y=4/5x-2 or y=4/5x+(-2).

The complete question is as follows.

The equation a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex] can be used to determine the area , a, of a trapezoid with height , h, and base lengths, [tex]b_1[/tex] and [tex]b_2[/tex]. Which are equivalent equations?

(a) [tex]\frac{2a}{h} - b_2 = b_1[/tex]

(b) [tex]\frac{a}{2h} - b_2 = b_1[/tex]

(c) [tex]\frac{2a - b_2}{h}[/tex] = [tex]b_1[/tex]

(d) [tex]\frac{2a}{b_1 + b_2} = h[/tex]

(e) [tex]\frac{a}{2(b_1 + b_2)}[/tex] = h

Answer: (a) [tex]\frac{2a}{h} - b_2 = b_1[/tex]; (d) [tex]\frac{2a}{b_1 + b_2} = h[/tex];

Step-by-step explanation: To determine [tex]b_1[/tex]:

a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]

2a = ([tex]b_1 + b_2[/tex])h

[tex]\frac{2a}{h} = b_1 + b_2[/tex]

[tex]\frac{2a}{h} - b_2 = b_1[/tex]

To determine h:

a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]

2a = [tex](b_1 + b_2)h[/tex]

[tex]\frac{2a}{(b_1 + b_2)}[/tex] = h

To determine [tex]b_2[/tex]

a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]

2a = [tex](b_1 + b_2)h[/tex]

[tex]\frac{2a}{h} = (b_1 + b_2)[/tex]

[tex]\frac{2a}{h} - b_1 = b_2[/tex]

Checking the alternatives, you have that [tex]\frac{2a}{h} - b_2 = b_1[/tex] and [tex]\frac{2a}{(b_1 + b_2)}[/tex] = h, so alternatives A and D are correct.

Answer:

Domain is { 3,5,7,9}

Step-by-step explanation:

The domain is the input values

Domain is { 3,5,7,9}

Answer:

Domain - {3, 5, 7, 9} (B)

Step-by-step explanation:

Domain - imput values, X values

Answer:option D is m best guess

Step-by-step explanation:

correct me if im rong

Answer:

its C

Step-by-step explanation:

Answer:1 ounce

Step-by-step explanation:

Answer:

19 - 28/n

n= 7

19 - 28/7

19-4

= 15

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

f(x) = 1 - x

g(x) = 1-X

f(x) - g(x) = 1-x - (1-x)

              Distribute

               =1-x-1 +x

           Combine like terms

             0

Answer:

A

p = -5 and q = 2 or p = 2 and q = -5

Step-by-step explanation:

Technically, you don't need the table to help you out here. If you solely just factor out x²-3x-10, you would get (x-5)(x+2). So one variable would always have to be -5 and the other variable would always have to be 2.

Answer:

sin(53°) = t/r

= 14/r

r = 14/sin(53°)

r = 17.53

tan(53°) = t/s

= 14/s

s = 14/tan(53°)

s = 10.55

Answer:

Numerical expression to represent this situation : 41 = 20 + P

Martha's profit is $21

Step-by-step explanation:

Total cost price for earrings for Martha = total money invested in material  to make earrings = $20

No. of ear rings made = 10

No. of earrings sold for $5= 7

Total Price for these 7 earrings= $5*7 = $35

No. of earrings sold for $2= 3

Total Price for these 3 earrings= $2*3 = $6

Total price for all of the ten earrings = $35+$6 = $41

We know that

selling price = cost price + profit

Total price for all of the ten earrings = Total cost price for 10 earrings + total profit made on those 10 earrings

let total profit be P

41 = 20 + P

Thus,

P = 41-20 = 21

numerical expression to represent this situation : 41 = 20 + P

Thus, Martha's profit is $21

Answer:

£2598.80

Step-by-step explanation:

155 people pay

49 are under 16

The number of 16+ people is: 155 - 49 = 106

Total money collected:

106 * £18.60 + 49 * £12.80 = £1971.60 + £627.20 = £2598.80

Answer:

18/8 = x/3

x = 6.75 inches (length)

Step-by-step explanation:

Hi, to answer this question we have to write 2 ratios using the information given:

A larger rectangle has a length of 18 inches and width of 8 inches.

Inches /width = 18/8

So, for a rectangle that has a length of x inches and width of 3 inches the ratio is :

x/3

Solving for x:

18/8 = x/3

18/8 (3) =x

6.75 in= x

Feel free to ask for more if needed or if you did not understand something.

Answer:

See explanation

Step-by-step explanation:

The discriminant is [tex]{b^{2}-4ac }[/tex]

1. 9² - 4(1)(20) = 81 - 80 = 1 so there are 2 solutions

2. (-9)² - 4(3)(-13) = 81 + 156 = 237, so there are 2 solutions

3. The first answer is correct

4. The third answer is correct

Answer:

see explanation

Step-by-step explanation:

For a given scale factor k

If k > 1 then expansion

If k < - 1 then expansion in the opposite direction

If 0 < k < 1 or - 1 < k < 0 then contraction

k = - 2 ← expansion in opposite direction

k = 1.5 ← expansion

k = [tex]\frac{1}{4}[/tex] ← contraction

k = - [tex]\frac{6}{7}[/tex] ← contraction

Answer:

x > -1

x < -1

Step-by-step explanation:

5x - 29 > - 34

5x > - 34 + 29

5x > -5

x > -1

2x + 31 < 29

2x < 29 - 31

2x <  -2

x < -1

Answer:

6

Step-by-step explanation:

Since the two triangles are similar, their ratios of sides must be constant. Therefore:

[tex]\dfrac{9}{3}=\dfrac{x}{2} \\\\x=2\cdot 3=6[/tex]

Hope this helps!

Answer:

1) negative

2) positive

3) the quotient is 0 which is neither +ve or -ve

4) negative

Step-by-step explanation:

To find the sign of the quotient, you first check the sign of the two numbers..

If the sign of ONE of the numbers is negative and one is positive, then the sign of the quotient will be negative too.

If the sign of BOTH the numbers is negative, it'll also be negative and visa versa

Hope it helps

Answer:

-10

Step-by-step explanation:

expand: 3x-12>5x+2

subtract 3x and subtract 2 to both sides

-14>2x

which is just

2x<-14

so x<-7.

the only value is -10. :D

Answer:

-10

Step-by-step explanation:

3(x – 4) > 5x + 2

Distribute

3x -12 > 5x+2

Subtract 3x from each side

3x-12-3x > 5x-3x+2

-12 > 2x+2

Subtract 2 from each side

-12 -2 > 2x+2-2

-14 > 2x

Divide by 2

-14/2 > 2x/2

-7 > x

X must be less than -7

-10 is less than -7

Answer: Maryam Mirzakhani

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

√10 x √10

When a square root of an expression is multiplied by itself, the result is that expression...

10

Answer:

1.0712

Step-by-step explanation:

if you increase by 4%, it means you will have a new total of 104%. In decimals it is 1.04 (divide your percentage by 100) after that you do the same with the 3% increase. you'll have a new total of 103%. In decimals 1.03. If you want to know what single multiplier you can use, you need to multiply the both decimals. So you get 1.04 x 1.03 = 1.0712

hope this will help you, have a nice day!