The equation 3x + 2 = 29 is modeled below.
Which is the first step in solving the equation for x?

Answer:

Greatest number of t-shirts that can be ordered is 540.

Step-by-step explanation:

Given that:

Cost of printing one shirt = $8.25

One time fee to make the silkscreen = $38

Budget for the t-shirts = $4500.00

Let,

x be the number of t-shirts

According to given statement;

8.25x + 38 ≤ 4500.00

8.25x ≤ 4500.00 - 38

8.25x ≤ 4462.00

Dividing both sides by 8.25

[tex]\frac{8.25x}{8.25}\leq \frac{4462.00}{8.25}\\x\leq 540.84[/tex]

Hence,

Greatest number of t-shirts that can be ordered is 540.

let

x = the cost of the cabinet

y = the cost of a chair

z = the cost of a table

A cabinet, 4 chairs and 2 tables cost $825

x + 4y + 2z = 825

The cabinet costs 3 times as much as a chair

x = 3y

The table costs $120 more than a chair

z = 120 + y

by solving the system of equations

x + 4y + 2z = 825

x = 3y

z = 120 + y

we find

x = $195

Answer:

1.66

Step-by-step explanation:

We need to conduct a chi square test

The statistic used to check this is given by the below

∑(n, 1) = [(O(i) - E(i)] / E(i)

From the question, we're told the observed value is

Freshmen

Sophomore

Junior

Senior.

After that, we then calculate the expected value.

Freshman

0.3 * 300 = $90

Sophomore

0.24 * 300 = $72

Statistics then finally gives us this

X² = (93 - 90²)/90 + (68 - 72)²/72 + (85 - 78)/78 + (64 -60)²/60

X² = 3² / 90 + 4² / 73 + 13² / 78 + 4² / 60

X² = 0.1 + 0.212 + 2.167 + 0.266 x+

X² = 2.745

X = √2.745

X = 1.66

Answer:

-2x + 3

Step-by-step explanation:

Perimeter means to add all the sides of the triangle. Simply combine like terms:

(3x) + (2x - 5) + (-7x + 8)

(3x + 2x - 7x) + (-5 + 8)

(5x - 7x) + (8 - 5)

-2x + 3

-2x + 3 is your answer.

~

Answer:

Hope this helps :)

Step-by-step explanation:

8(x - 2) = 2x + 8

y+9 = -2(y + 1)

value of x in 8(x - 2) = 2x + 8

x=4

substitue

y+9=−2(y+1)

value of y y+9=−2(y+1)

y= - 11/3 or 3.66...

x=4

y=4 (I rounded 3.66)

Answer and explanation:

Probability = number of favorable outcomes/ total number of outcomes

Since all glasses labelled C, D, and P are all same Cola

Probability that C is ranked first = 1/3

Probability that D is ranked last = 1/3

Anwser: First triangle area =0.5*8*10=40 in2. Secound triangle area =0.5*8*6=24 in2 Sum is 1st area + 2nd area, which is 64 in2.

Answer:

Step-by-step explanation:

Is there any sign of addition or subtraction between (c + 3d) and (c - d) or we have to just multiply

If we have to multiply then

2(c + 3d) (c - d)

= 2(c2 - cd + 3cd - 3d2)

= 2(c2 + 2cd - 3d2)

= 2c2 + 4cd - 6d2

Answer:

1

Step-by-step explanation:

Answer: 560

Step-by-step explanation:     2.5 percent (calculated percentage %) of what number equals 14? Answer: 560.

The unknown number will be; 560.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent considered thing is of "a" is b%. Then the percent shows per 100 (since cent means 100).

a x b/100 = a x b%

WE need to find the 2.5% of unknown number is 14.

Let the unknown number be x

Then;

2.5% of x = 14.

Simplify;

2.5/100 × x = 14

0.0025 × x = 14

x = 14/0.0025

x = 560

Hence, the  unknown number will be; 560.

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Answer:

14

20+8=28/2

your welcome

Answer:

340.6

Step-by-step explanation:

355 - 7.2 * 2 =

355 - 14.4 =

340.6

3,3

Pretty simple.

1 x 3 = 3

The graph of the direct proportion y = kx for k=1 is shown in figure.

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The direct proportion is defined as,

⇒ y = kx

Now, The equation for k = 1 is,

⇒ y = kx

⇒ y = 1x

⇒ y = x

Clearly, It represent the straight line.

Hence, The graph of y = x is shown in figure.

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Answer:

a) The sequence of first three terms

5 , 8 , 13 ..

b) The [tex]10^{th}[/tex] of the sequence

a₁₀ = 104

Step-by-step explanation:

Step(i):-

Given [tex]n^{th}[/tex] term of the sequence

  aₙ = n² + 4

put n=1

First term  a₁ = 1² +4 = 1+5

put n =2

Second term a₂ = 2²+4 = 4+4 =8

Put n=3

Third term a₃ = 3² +4 = 9+4 =13

The sequence of first terms

5 , 8 , 13 ..

Step(ii):-

Given [tex]n^{th}[/tex] term of the sequence

  aₙ = n² + 4

put n =10

a₁₀ = 10²+4 = 100+4 = 104

a₁₀ = 104

The [tex]10^{th}[/tex] of the sequence

a₁₀ = 104

Answer:

The solution to the given inequality

 [tex]h\geq \frac{-1}{21}[/tex]

Step-by-step explanation:

Given inequality

                      [tex]\frac{-1}{3h} \leq 7[/tex]

             ⇒     -1≤ 7× 3h

             ⇒     -1 ≤ 21 h

             ⇒    21 h ≥ -1

            ⇒       [tex]h\geq \frac{-1}{21}[/tex]

Answer:

37.50÷75=0.5 so first you are dividing bcus u need to find what percentage she has saved.

Answer:

O.5 because u need to divide and give me brainlessly plz

Step-by-step explanation:

The simplest ratio is 4:9

Answer:

D . Biking speed for the second practice ride

Add

Step-by-step explanation:

Given :

First practice ride:

Distance = 5 miles

2nd practice ride :

Distance = 9 miles

Time models for each practice ride ;

First practice ride :

a(x) = 5 / x

x = speed

2nd practice ride :

b(x) = 9 / (x + 2)

Recall :

Time taken: distance / speed ; compacting with time taken equation of the 2nd practice ride :

Hence,

Speed of 2nd practice ride = x + 2

B.) To obtain a function for the total amount of time :

We take the sum of the first and second practice time : a(x) + b(x)

5/x + 9/(x+2)

Answer:  For plato family

   Biking speed for the second practice ride .

     Add

Step-by-step explanation:

I just took the test

Answer:

7

explanation:

15 - 8 = 7

The range of the middle 50% of the data is 7.

We have a set of numbers plotted on a number line.

We have to find the range of middle 50% of the data.

The interquartile range abbreviated as (IQR) is a measure of statistical dispersion, which is the spread of the data. The IQR is also called the mid-spread, middle 50% and fourth spread.

According to the question -

The Interquartile range is the difference of third quartile and first quartile.

From the given figure -

First quartile = Q[1] = 8

Third quartile = Q[3] = 15

Range of IQR = Q[3] - Q[1] = 15 - 8 = 7

Hence, the range of the middle 50% of the data is 7

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Answer:

Angle y is also 40 degrees. Angle x and y are vertical angles, thus they have the same angle measure.

Step-by-step explanation:

Answer:

x is equal to 7

the measure of both angles is 23°

Step-by-step explanation:

1. set both equations equal to each other

2. 4x - x is 3x

3. 16 + 5 is 21

4. 3x = 21

5. divide both sides by 3

6. x equals 7

Answer:

HI BYE 45     SO ME I THINK IT I DONT KNOW SO PEACE GOOD LUCK

Answer:

0

Step-by-step explanation:

=20−5(2^2)

=20−(5)(4)

=20−20

=0

9514 1404 393

Answer:

Step-by-step explanation:

The appropriate relation is ...

  distance = speed · time

  d = 25t

__

The rate of change of Felipe's driving speed* is zero, since his speed is given as constant.

Felipe will drive 150 mile in 6 hours, as found using the equation:

  d = 25(6) = 150

_____

* The question posed here asks for rate of change of driving speed. Perhaps, you want rate of change of distance, which is driving speed: 25 miles per hour.

Answer:

His school is 1.5 miles away :)

Step-by-step explanation:

6/4 = 1.5 miles

1.5 miles means his house is 1.5 miles from his school

Check the answer (1.5 times 3) = 4.5 miles so his job is 4.5 miles away.

4.5 + 1.5 = 6 miles

The distance between Salvador's house and his school is 1.5 miles

Let :

Therefore;

Then ;

Since, house is in between job and school :

The distance from house to school = d ; hence, distance between his house and school is 1.5 miles.

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Answer:

area of rectangle=length ×breadth

area of rectangle=12yd×15yd

area of rectangle=180yd²

Answer:

C

Step-by-step explanation:

[tex]y = 2x + 3 \\ y = 3x + 1 \\ 2x = y - 3 \\ x = 0.5y - 1.5 \\ y = 3(0.5y - 1.5) + 1 \\ y = 1.5y - 4.5 + 1 \\ y - 1.5y = - 3.5 \\ 0.5y = 3.5 \\ y = 7[/tex]

[tex]x = 0.5(7) - 1.5 \\ x = 3.5 - 1.5 \\ x = 2[/tex]

(2, 7)

Answer:

0.1606 = 16.06% probability that the number of births in any given minute is exactly five.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

In this question:

We only have the mean during an interval, and this is why we use the Poisson distribution.

The mean number of births per minute in a given country in a recent year was about 6.

This means that [tex]\mu = 6[/tex]

Find the probability that the number of births in any given minute is exactly five.

This is P(X = 5). So

[tex]P(X = 5) = \frac{e^{-6}*6^{5}}{(5)!} = 0.1606[/tex]

0.1606 = 16.06% probability that the number of births in any given minute is exactly five.

160 and 162 and 164

Step-by-step explanation:

To find the three even integers, use the equation

x + (x + 2) + (x + 4) = 486

Then solve:

Add the common terms (the xs and numbers)

3x + 6 = 486

Subtract the 6 from both sides

3x = 480

Then divide

x = 160

So 160 + (160 + 2) + (160 + 4) = 486

160 + 162 + 164 = 486

So your three consecutive even integers are

Answer:

(a) 1.8 eggs

(b) 0.52 eggs

Step-by-step explanation:

According to the problem, computation of the given data are as follows:

The mean number of broken eggs in a dozen E(X) = 0.6

Standard deviation SD(X) = 0.3

(a). For 3 dozen eggs, number of broken eggs can be calculated by using following formula,

E(X) for 3 dozen = 3 × 0.6

= 1.8 eggs

(b). Standard deviation for 3 dozen can be calculated as follows,

SD (X) = ×[tex]\sqrt{3* (0.3)^{2}[/tex]

= [tex]\sqrt{27}[/tex][tex]\sqrt{27}[/tex]

= 0.52 eggs