I need to find the measure of 3.

Answer:

96 feet squared

Step-by-step explanation:

to find the triangles area you would have to multiply 16 times 12 which would get you 192 then you would have to divide it by 2. Therefore the answer is 96.

Answer:

x in all equations just normally means 1

Step-by-step explanation:

x is always 1

Step-by-step explanation:

I belive is choice 2 cause I only got -19 with that one

Answer:

3 feet

Step-by-step explanation:

720ft

1ft:240ft

720/240=3

3ft:720ft

Answer:

there are 12 cans

Step-by-step explanation:

6 x 2 =12

Answer:

$8.96

Step-by-step explanation:

To find the total amount, multiply the percentage of the tip (20%) as 0.20 with 7.47

(7.47×0.20=1.494)

Add $1.49 to $7.47

(1.49+7.47=8.96)

And there is your total amount with a 20% tip!

$8.96

Answer:

Step-by-step explanation:

ΔSRQ and ΔVTU are similar Triangle.

Triangles are said to be congruent if, under a correspondence, two of a triangle's sides and the angle that connects them are equal to two of another triangle's sides and the angle that connects them.

Given two triangles, ΔRQS and ΔVUT such that,

RS = 16, QR= 64 and VT = 8, UT = 32

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.

From the above condition since,

∠R = ∠T

and

[tex]\frac{QR}{SR} = \frac{UT}{VT} = \frac{4}{1}[/tex]

Thus,

ΔSRQ and ΔVTU are similar from the congruency  property of SAS.

Learn more about congruent triangles here:

https://brainly.com/question/22062407

#SPJ7

Answer:

The toll on a bridge is $1.00 \:for\: cars\: and\: $2.50 for trucks. In one hour, a tollbooth operator collects a total of $105 in tolls.

Equation :---

[tex]\boxed{c + 2.5t = 105}[/tex]

Above equation represents the relationship between the number of cars, c, and the number of trucks, t, which could have passed by this tollbooth.

Answer:

(a)

A single avocado costs $1

A single tomato costs $0.5

(b)

An avocado costs twice as much as a tomato

Step-by-step explanation:

Represent the tomatoes with T and the avocados with A.

So, we have:

[tex]4T + 8A = 10[/tex] --- (1)

[tex]6T + 14A = 17[/tex] --- (2)

Solving (a): The price of each

Multiply (1) by 1.5

[tex]1.5(4T + 8A = 10)[/tex]

[tex]6T + 12A = 15[/tex] --- (3)

Subtract (3) from (2)

[tex](6T + 14A = 17) - (6T + 12A = 15)[/tex]

[tex]6T - 6T + 14A - 12A = 17 - 15[/tex]

[tex]14A - 12A = 17 - 15[/tex]

[tex]2A = 2[/tex]

Divide both sides by 2

[tex]A = 1[/tex]

Substitute 1 for A in (1)

[tex]4T + 8A = 10[/tex]

[tex]4T + 8(1) = 10[/tex]

[tex]4T + 8 = 10[/tex]

Make 4T the subject

[tex]4T = 10 - 8[/tex]

[tex]4T = 2[/tex]

Divide both sides by 4

[tex]T = \frac{2}{4}[/tex]

[tex]T = 0.5[/tex]

Solving (b): Analysis

In (a), we have:

[tex]T = 0.5[/tex]

[tex]A = 1[/tex]

We can say that an avocado costs twice as much as a tomato

Answer:

220 possible ways

Step-by-step explanation:

Given

[tex]n = 12[/tex] --- people

[tex]r = 3[/tex] -- posts [tex](President, Vice\ President\ and\ Secretary)[/tex]

Required

Determine the number of selection

Since there is no condition attached, the number of selection is:

[tex]Selection = ^nC_r[/tex]

Substitute values for n and r

[tex]Selection = ^{12}C_3[/tex]

Apply combination formula

[tex]Selection = \frac{12!}{(12-3)!3!}[/tex]

[tex]Selection = \frac{12!}{9!3!}[/tex]

[tex]Selection = \frac{12*11*10*9!}{9!*3*2*1}[/tex]

[tex]Selection = \frac{12*11*10}{6}[/tex]

[tex]Selection = \frac{1320}{6}[/tex]

[tex]Selection = 220[/tex]

Hence, there are 220 possible ways

Answer:

Step-by-step explanation:

((((((.5 mile = .25 hour<<<<<<<<<<<<<<<<<<<<<<<<<<

Multiply both sides by 4, because there are 4 quarters in 1 hour

(4)(.5) = (.25)(4)

2 miles =1 hr

Multiply both sides of the original equation by 3 to figure out how far in 3/4 of an hour

(3)(.5) = (3)(.25)

1.5 miles = 3/4 of an hour

now add the two answers together to figure out that the person walked 3.5 miles in 1 3/4 hours

***You also could have multiplied both sides of the original equation by 7, recognizing that that there are 7 quarters in 1.75 hours.

Answer:

30+(−17) is the answer

Step-by-step explanation:

Answer:

Tyler's cell phone plan will cost 1,550 over the period of two years.

Step-by-step explanation:

$50 * 24 months = 1,200

1,200 + 350 = 1,550

The graph for the given condition is attached below.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, Tyler's cell phone plan costs $350 to start, then there is a $50 charge each month.

Suppose the number of months is x and the total amount is y, The obtained equation for the given condition is,

y=350+50x

We have to graph the cost of Tyler's cell phone plan over a period of two years.

1 year = 12 month

2 year = 24 month

Suppose 24 as the place of x,

y=350+50x

y=350+50(24)

y=350+1200

y=1550

Thus, the graph for the given condition is attached below.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ5

Answer:

Step-by-step explanation:

I HOPE IT HELPS :)

Answer: Numbers of servings: 10 and 13, Liters of punch: 14

Step-by-step explanation:

Number of servings - 6 = Liters of punch.

Answer:

A will be at 6,6

Step-by-step explanation:

I think this because the graph is the same so it most likely will be the at the same position. Hope this is right !

Answer:

{0, infinity)

Step-by-step explanation:

range is always the y coords

Answer:

Step-by-step explanation:

$8.75

hope it helps

Answer:

24

Step-by-step explanation:

half 32 and half it again u get 8 then u do 32-8

Answer:

4(x+5) I

Step-by-step explanation:

Answer:

[tex]x = -5[/tex]

Step-by-step explanation:

This is for if you are trying to solve for x. If that is not your goal, do not heed my words.

Subtract 20 from both sides.

[tex]4x + 20 = ?[/tex]

becomes

[tex]4x = -20[/tex]

Divide both sides by 4.

[tex]4x = -20[/tex]

becomes

[tex]x = -5[/tex]

And that's how you'd solve for x.

Answer: Angle ABD is 39°

Step-by-step explanation:

Angle CBA is 90° (given by "box" on the corner of the right triangle)

Angle CBD is given as 51°

Subtract:

90° - 51° = 39°

Step one: (((x2)+x)+1)+((0-(2x23•x))+5)

Step two: Check for a perfect cube.  2.1    -2x24+x2+x+6  is not a perfect cube.

2.2      Factoring:  -2x24+x2+x+6

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x+6

Group 2:  -2x24+x2

Pull out from each group separately :

Group 1:   (x+6) • (1)

Group 2:   (2x22-1) • (-x2)

The groups have no common factor and can not be added up to form a multiplication.

So the answer would be,  -2 (x24) + (x2) ++ 6.

Answer:

By opting for the second option, Alice would save $ 15,740.00  in total mortgage cost

Step-by-step explanation:

In order to determine the better of the two options available, we need to determine the total cost under each option as follows:

Option 1:

cost of house=$625,000

loan amount=$625,000-(20%*$625,000)=$500,000

loan amount=monthly payment*(1-(1+r)^-n/r

monthly payment is the unknown

r=monthly interest rate=4%/12=0.33333333%

n=number of monthly payments in 30 years=30*12=360

500,000=monthly payment*(1-(1+0.33333333% )^-360/0.33333333%

500,000=monthly payment*(1-0.301795869 )/0.003333333

500,000=monthly payment*0.698204131 /0.003333333

monthly payment=500,000*0.003333333 /0.698204131

monthly payment=$ 2,387.08  

total monthly payments=$ 2,387.08*360=$859,348.80

Option 2:

upfront fee=$10,000

loan amount=monthly payment*(1-(1+r)^-n/r

monthly payment is the unknown

r=monthly interest rate=3.75%/12=0.3125%

n=number of monthly payments in 30 years=30*12=360

500,000=monthly payment*(1-(1+0.3125%  )^-360/0.3125%

500,000=monthly payment*(1-0.325222459  )/0.003125

500,000=monthly payment*0.674777541  /0.003125  

monthly payment=500,000*0.003125  /0.674777541=$2,315.58  

Total cost=total monthly payments+upfromt fee

total cost=($2,315.58 *360)+$10,000=$843,608.80  

savings by opting for the second option=$859,348.80-$843,608.80  

Answer:

70 units

Step-by-step explanation:

The probability that more than one coin lands heads up is 0.9375.

In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability.

The binomial probability is [tex]^nC_xp^xq^{n-x}[/tex].

Given, Four fair coins are flipped and the number of heads that land face up are counted.

Let, 'p' be the probability of getting a head and 'q' be the probability of getting a tail,

So, p = 1/2 and q= 1/2.

Therefore, The probability that more than one coin lands heads up is,

P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 3).

P(X ≥ 1) = [tex]^4C_1p^1q^3 + ^4C_2p^2q^2 + ^4C_3p^3q^1 + ^4C_4p^4q^0[/tex].

P(X ≥ 1) = [tex]^4C_1(1/2)^1(1/2)^3 + ^4C_2(1/2)^2(1/2)^2 + ^4C_3(1/2)^3(1/2)^1 + ^4C_4(1/2)^4(1/2)^0[/tex].

P(X ≥ 1) = 4(0.5×0.125) + 6(0.25×0.25) + 4(0.125×0.5) + 1(0.0625).

P(X ≥ 1) = 0.25 + 0.375 + 0.25 + 0.0625.

P(X ≥ 1) = 0.9375.

So, The probability of getting one or more heads is 0.9375.

learn more about the binomial distribution of probability here :

https://brainly.com/question/14565246

#SPJ5

Answer:

I need  a picture or something else to give answer

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

8+7=15

15*15=225

Answer:

225

Step-by-step explanation:

8 + 7 = 15

15² = 225

hope this helps...