Which statement shows the associative property of addition?


7⋅(4⋅x)=(7⋅4)⋅x

13 + 5a = 5a + 13

(d + 4) + 17 = 17 + (d + 4)

(18 + 6) + y = 18 + (6 + y)

9514 1404 393

Answer:

  4.2 km

Step-by-step explanation:

The altitude of the triangle can be found using the triangle area formula:

  A = 1/2bh

  22.7 km² = 1/2(10.8 km)h

  h = (22.7 km²)/(5.4 km) ≈ 4.2037... km

The missing measurement is about 4.2 km.

Answer:

the answer is 1.99 I think im not sure I guessed

Step-by-step explanation:

Answer:

Line 2 will be the best fit for the data

Step-by-step explanation:

hope it helps...

have a great day!!

Answer:

Surface area

103.109in²

Step-by-step explanation:

Hope this helps! I would appreciate if you make me brainliest!

Answer:

9.04ft

Step-by-step explanation:

This will help you

Answer:

25%

Step-by-step explanation:

An easy way to figure this out is just by dividing the initial amount of students (18) by the current amount of students (24), and then subtracting 1.

So, 18/24 = 0.75 (aka 75%), and  1 - 0.75 = 0.25 (aka 25%)

Given:

The given expression is:

[tex]\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-9}{16}\times \dfrac{14}{25}[/tex]

To find:

The value of the given expression.

Solution:

We have,

[tex]\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-9}{16}\times \dfrac{14}{25}[/tex]

It can be written as:

[tex]=\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-3\times 3}{2\times 2\times 2\times 2}\times \dfrac{2\times 7}{5\times 5}[/tex]

[tex]=\dfrac{-2\times 5\times (-3)\times 3\times 2\times 7}{3\times 7\times 2\times 2\times 2\times 2\times 5\times 5}[/tex]

Cancel out the common factors.

[tex]=\dfrac{-(-3)}{2\times 2\times 5}[/tex]

[tex]=\dfrac{3}{20}[/tex]

Therefore, the value of given expression is [tex]\dfrac{3}{20}[/tex].

Answer:

Yes. If the third angle is equal to 115 degrees.

Step-by-step explanation:

The sum of all the angles in a triangle must equal 180 degrees.

If the two angles are 20 degrees and 45 degrees the third angle must be

180-45-20= 115 degrees

A triangle having three different angles is called a scalene triangle.

A scalene triangle also has three different sides.

But if the third angle is less or greater than 115 degrees the triangle cannot be formed.

This is the called the sum property of triangle.

There is another property which must also be satisfied i.e  the sum of any 2 sides must be greater than the third side.

Answer:a or d

Step-by-step explanation:

Answer:

y = -2/3x + 8

Step-by-step explanation:

Format: y = mx + b

m = slope (rise over run) - 2/3 The graph is negative so the slope is also negative.

b = y - intercept (8)

Answer: it would be 5

Step-by-step explanation:

0,1,2,3,4,5,6,7,8,9,10 the middle #is 5

Answer:

there is only one straight angle which measures 180°

Step-by-step explanation:

if an angle is 162° then its supplementary angle is 18°

Answer:

≈3.8

Your Welcome!

Answer: a. 5 years

b. 60 yards

c. 41

Step-by-step explanation:

1. Let Lily's age be x.

One of the cousins is 7 years older than Lilly. The age will be = x + 7

The other cousin is 3 years younger than Lilly. The age will be = x - 3

Therefore, (x + 7)(x - 3) = 24

x² - 3x + 7x - 21 = 24

x² + 4x - 21 - 24 = 0

x² + 4x - 45 = 0

x² + 9x - 5x - 45 = 0

(x² + 9x) - (5x - 45) = 0

x(x + 9) - 5(x + 9) = 0

(x - 5)(x + 9) = 0

(x - 5) = 0

x = 0 + 5

x = 5

Therefore, Lily is 5 years

2. Let the width be represented by x

Therefore, length will be x + 40.

Area = length × width

6000 = x(x + 40)

x² + 40x = 6000

x² + 40x - 6000 = 0

x² + 100x - 60x - 6000 = 0

x(x + 100) - 60(x + 100) = 0

(x - 60)(x + 100) = 0

x - 60 = 0

x = 0 + 60 = 60

Therefore, the width is 60 yards

3. Let the consecutive numbers be x and x+1.

Therefore, x(x + 1) = 1640

x² + x = 1640

x² + x - 1640 = 0

x² + 41x - 40x - 1640 = 0

x(x + 41) - 40(x + 41) = 0

(x - 40) = 0

x = 0 + 40

x = 40

Larger number = x + 1 = 40 + 1 = 41

Answer:

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3)  = 0.9922

Step-by-step explanation:

Step(i):-

Given that the mean of the Normal distribution = 4.1mm

Given that the standard deviation of the Normal distribution = 0.0075mm

Let 'X' be the random variable in a normal distribution

Given that X₁ = 3.9mm

[tex]Z_{1} = \frac{X_{1} -mean}{S.D}[/tex]

[tex]Z_{1} = \frac{3.9 -4.1}{0.075} = -2.666[/tex]

Given that X₂ = 4.3mm

[tex]Z_{2} = \frac{X_{2} -mean}{S.D}[/tex]

[tex]Z_{1} = \frac{4.3 -4.1}{0.075} = 2.666[/tex]

Step(ii):-

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3) = P(-2.666≤Z≤2.666)

                     = P(Z≤2.666)-P(Z≤-2.666)

                    = 0.5 +A(2.666) - (0.5-A(2.666)

                   = 2 × A(2.666)

                 = 2×0.4961

                 = 0.9922

Final answer:-

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3)  = 0.9922

Answer:

Step-by-step explanation:

First, carry out the indicated multiplication.  We get:

2m/5 - 4/5 + 3/5, which condenses to

                        2m - 1

2m/5- 1/5 or ---------------

                              5

Answer:

a: 153

Step-by-step explanation:

Do cross multiplication.

Answer:

1.31

Step-by-step explanation:

I used a calculator and just rounded this number 1.30769230769

if the number is five or higher then you would round the number next to the 7. So 7 rounded 0 is 1.31. Sorry i tried to explain it in the best way possible!

Answer:

by clumbing the ladder

Step-by-step explanation:

The base of the ladder should be placed so that it is one foot away from the building for every four feet of hight to where the ladder rests against the building. This is known as the 4 to 1 rule.

Answer:

339.29

Step-by-step explanation:

V=πr²h

Answer:

x + 4 > 13

x > 9

Step-by-step explanation:

In this equation, the value of the "number" is unknown, so I used a variable (x) to represent the unknown value.

FOUR more than x would mean addition.

x + 4.

According to this word problem, four more than x is larger than thirteen, so a greater than symbol was used.

Like this,

x + 4 > 13.

We can find the solution to 'x' by subtracting 4 from 13.

Like this,

13 - 4 = 9

Therefore, the solution is x > 9

And, the inequality is x + 4 > 13.

Answer:

the answer is c

Step-by-step explanation:

Answer:

There is a 54.328% probability that the next person will purchase no more than one costume.

Step-by-step explanation:

Since in a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance, and Olivia sets up a website where players can buy and sell these costumes online, and information about the number of people who visited. the website and the number of costumes purchased in a single day states that 144 visitors purchased no costume, 182 visitors purchased exactly one costume, and 9 visitors purchased more than one costume, to determine, based on these results, the probability that the next person will purchase no more than one costume as a decimal to the nearest hundredth, the following calculation must be performed:

144 + 182 + 9 = 335

335 = 100

182 = X

182 x 100/335 = X

18,200 / 335 = X

54,328 = X

Therefore, there is a 54.328% probability that the next person will purchase no more than one costume.

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Since we are working with tenths all we have to do is add the numerators of each fraction.

4 + 3 + 1 + 1 = 9

9/10

Answer:

Step-by-step explanation: I don’t know I just want my extra points

Answer: 164 ft

Step-by-step explanation:

tan 48=215/x

-> x.tan48=215

->x =215/tan 48

->x = 193.6

tan 31=215/y

-> y.tan31 = 215

-> y= 215/ tan 31

-> y= 357.82

BC= y-x

= 357.82-193.6

= 164.22 = 164 ft

Answer:

Step-by-step explanation:

Multiply each term of (x² + 2x - 1) by x  and multiply each term of            (x² + 2x - 1) by 3

Area of parallelogram = bh

  = (x² + 2x - 1)(x + 3)

  = (x² + 2x - 1)*x + (x² + 2x - 1)*3

 =x²*x + 2x*x  - 1*x + x²*3 +2x*3 - 1*3

 = x³ + 2x² - x + 3x² + 6x - 3

 = x³ + 2x² + 3x²   -x + 6x - 3

 = x³ + 5x² + 5x - 3

Answer:

120cm³

Step-by-step explanation:

V=w·h·l=5·3·8=120cm³

Answer: i hope it help u

Step-by-step explanation:

Answer:

5,000,000+4,000+300=5,004,300

Step-by-step explanation:

hope this helps

Answer:

[tex]\frac{2x}{5} - \frac{3}{5}[/tex]