Solving systems by substitution
y=x+3
2x-2y = -6

Answer:

true

Step-by-step explanation:

That is a true statement.

The density of steel is approx. 7.85 g/cm³.

The density of water is approximately 1 g/cm³.

Answer:

each takes 3 together 3x3=9

Answer:

a(A) = 0

Step-by-step explanation:

Answer:

2(w+11w)=1680

Step-by-step explanation:

If the width is w, then the length is 11w.

Using the formula for the perimeter of the rectangle, the equation is 2(w+11w)=1680

Answer:

x=±7; y=12.25.

Step-by-step explanation:

1) x-interception:
(y=0): x²=49, ⇒ x=±7;

2) y-interception:

(x=0):  4y=49; ⇒ y=12.25.

Step-by-step explanation:

[tex] = \frac{ {p}^{2} - p - 12 }{ {p}^{2} - 10 + 24} \\ [/tex]

[tex] = \frac{ {p}^{2} - (4 - 3)p - 12 }{ {p }^{2} - (6 + 4)p + 6 \times 4} \\ [/tex]

[tex] = \frac{ {p}^{2} - 4p + 3p - 4 \times 3 }{ {p}^{2} - 6p - 4p + 6 \times 4 } \\ [/tex]

[tex] = \frac{p(p - 4) + 3(p - 4)}{p(p - 6) - 4(p - 6)} \\ [/tex]

[tex] = \frac{(p + 3)(p - 4)}{(p - 4)(p - 6)} \\ [/tex]

[tex] = \frac{p + 3}{p - 6} \\ [/tex]

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The sample would be representative of the population if 100 cars were chosen regardless if randomization was used or not; this statement is not correct;

A survey was carried out by visiting a student parking lot to estimate the number of red cars.

If a different sample of cars was picked, the proportion of red cars would most likely be different. This statement is correct.

The sample would be representative of the population if 100 cars were chosen regardless if randomization was used or not. This statement is not correct because you select only 100 cars to represent whole population that too without randomization;

Despite the fact that a random sample was obtained from cars in the parking lot, the sample may not be representative.

because the decision to park in that particular lot is typical of the cars driven by students self-selected.

If the sampled stall was empty, we can simply choose another stall at random to take its place because the stall being unoccupied is unlikely to be associated to a red car.

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The Equation of the tangent line is y = 4x - 1.

According to the statement

We have to find that the equation of the tangent of the line.

So, For this purpose, we know that the

Equation of the tangent line can be found using the formula y – y1 = m (x – x1), where m is the slope and (x1, y1) is the coordinate points of the line.

From the given information:

f(x) = 3 X at (1, 3)

Then

The tangent line of a curve y = f(x) is a line that touches the curve at a point (x0, y0). Its slope (m) is found by substituting the point where it is drawn in the derivative f'(x) and its equation is found by using y - y0 = m (x - x0).

From the given it is clear that the slope of the equation is a 3.

Then m = 3

then

y – y1 = m (x – x1)

Substitute the points here

y - 3 = 4(x - 1)

Then

y = 4x - 4 +3

y = 4x - 1.

So, The Equation of the tangent line is y = 4x - 1.

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Answer: y=3x-6

Step-by-step explanation:

ANSWER:y=1/(3x-6)

Step-by-step explanation:

i think you are asking for the change of subject of formula(Transposition of subjects).

x=1/3y+2

multiply both sides by 3y

x × 3y=1/3y × 3y + 2 × 3y

3xy=1+6y

collect like terms

3xy-6y=1

fractionalize

y(3x-6)=1

divide both sides by (3x-6)

y=1/(3x-6)

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Answer:3

Step-by-step explanation:easy 2 cups of pj plus cranberry juice is 3, get 6 by adding 3 again

Answer:

6 ft

Step-by-step explanation:

if 1 yard = 3 feet, you add +3 to the second one because its 2x more

[tex]1/3 \longrightarrow 0.33 \\ \\ 1/2 \longrightarrow 0.50 \\ \\ 1/4 \longrightarrow 0.25 \\ \\ 3/4 \longrightarrow 0.75 \\ \\ 2/3 \longrightarrow 0.66[/tex]

The area of the triangle is found as 12 unit².

A triangle is a three-sided polygon with three sides that closes a space.

The formula for the area of the triangle is;

Area of triangle= ½ × base × height

The base is given as 6 units and the height is 4 units. (count 1 column of graph as 1 unit).

Put the values in formula.

Area of triangle = ½(6)(4)

Area of triangle = 12 unit.²

Therefore, the area of the triangle is found as 12 unit.²

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Answer:

Width = 15 ft

Step-by-step explanation:

Given formula,

→ A = L × W

Let us assume that,

→ Length = 4x

→ Width = x

→ Area = 900 ft²

Then the value of width will be,

→ A = L × W

→ 900 = 4x × x

→ 4x² = 900

→ x² = 900/4

→ x = √225

→ [ x = 15 ft ]

Hence, the value of width is 15 ft.

Answer:

Step-by-step explanation:

(2*9/5d*9)-(1*5/9d*5)

18/45d-5/45d

13/45d

The percent of the days in month that the cash will run out is given as: 23.33%. See the computation below.

Money put in ATM per day=$7750

We have to find the percent of days in a month you should expect to run out of cash.

From the given information

There are 7 days in which you run out cash more than $7750

Assuming that the total number  of days in a month = 30

Hence, we can arrive at the above value by saying:
(Corresponding days/Total number of Days) * 100

From we above we state:

(7/30) * 100

= 23.33%

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Answer:

32

_____

         [tex]\left|-3\left(2\right)-5\right|+\left|-1-2^2\right|+2\cdot \:2^3\\\left|-3\cdot \:2-5\right|+\left|-1-2^2\right|+2\cdot \:2^3\\-3 \cdot 2 - 5 = -11\\\left|-11\right|+\left|-1-2^2\right|+2\cdot \:2^3\\-1 - 2^2 = -1 - 4 = -5\\\left|-11\right|+\left|-5\right|+2\cdot \:2^3\\|-11| = 11\\|-5| = 5\\2 \cdot 2^3 = 2 \cdot 8 = 16\\11+5+16\\=32[/tex]

_____

Answer:

4/x = 5/21.98 ; x=17.584

Step-by-step explanation:

subes la x al otro lado , multiplicas el 21.98 con el 4 y luego lo divides entre 5, así resulta q x es igual a 17.584

Answer:

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Answer:

78.99

Step-by-step explanation:

Rounding to the 2nd decimal place the number 78.987625

Write down everything upto and including the 2nd decimal: 78.98

Check out the next digit. If >= 5, then increase the 2nd decimal digit above by 1, if not leave it as is.

For 78.987625 the digit next to the 2 decimal digit is 7 so we increase 78.98 to 78.99

Answer:

????

Step-by-step explanation:

I don't get this

at all

Shirley will take 8 hours to complete mowing the field alone.

We are given that Shirley and Pam, working together, can mow the lawn in 6 hours.

So, work done if 1 hour together = 1 / 6

Also, we are given that Pam takes three times as long as Shirley when she works alone.

Time taken by Pam = 3 times Time taken by Shirley.

Let the time taken by Shirley be y.

Job done in 1 hour = 1 / y

Time taken by Pam = 3 y

Job done in 1 hour = 1 / 3y

ATQ:

1 / y + 1 / 3 y = 1 / 6

4 / 3 y =1 / 6

24 = 3 y

y = 24 / 3

y = 8 hours.

Therefore, Shirley will take 8 hours to complete mowing the field alone.

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Step-by-step explanation:

y=1

x=1

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keeping in mind that a year has 12 months, thus 18 months is really 18/12 of a year, so

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$4300\\ r=rate\to 5.1\%\to \frac{5.1}{100}\dotfill &0.051\\ t=years\to \frac{18}{12}\dotfill &\frac{3}{2} \end{cases} \\\\\\ A=4300[1+(0.051)(\frac{3}{2})] \implies A=4628.95[/tex]

Answer:

work is shown and pictured

Answer:

20.75

Step-by-step explanation:

1cm=10mm

so:1mm=0.1cm

0.1/2=0.05

if it asks lower bound:

5.2-0.05=5.15 +

6.3-0.05=6.25 +

9.4-0.05=9.35

Answer:

The length of AC is 15 units

Step-by-step explanation:

Answer:

the action of inflating something or the condition of being inflated.

"the inflation of a balloon"

ASTRONOMY

(in some theories of cosmology) a very brief exponential expansion of the universe postulated to have interrupted the standard linear expansion shortly after the Big Bang.

2.

ECONOMICS

a general increase in prices and fall in the purchasing value of money.

"policies aimed at controlling inflation"

Answer:

the measurement of the circumference of a circle is 21