Two parallel lines are crossed by a transversal.
What is the value of x?

y≤ 3 when x is 0  and x≤ 3 when y is 0

The graph is attached in figure below

Step-by-step explanation:

We need to graph x+y is equal or less than 3

Writing in mathematical form:

[tex]x+y\leq 3[/tex]

For solving we find x and y intercepts

The y-intercept can be found by putting x=0, y is :

[tex]0+y \leq 3\\y\leq 3[/tex]

y≤ 3 when x is 0

The x-intercept can be found by putting y=0, x is :

[tex]x+y \leq 3\\x+0\leq 3\\x\leq 3[/tex]

x≤ 3 when y is 0

Plotting these values on the graph:

The graph is attached in figure below

Keywords: Solving inequalities

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Answer:

t ≤ -7

Step-by-step explanation:

−4t≥28

−4/4 * t ≥ 28/4

−1 * t ≥ 7

-t ≥ 7

t ≤ -7

Answer:

60

Step-by-step explanation:

2of the 250mg pills 3times a day=6 pills a day for 10 days = 60 pills

The equation is c = 1.45 n

Total cost of 25 songs is $36.25

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

∵ The cost of downloaded one digital song is $1.45

∵ The cost of downloaded two digital song is $2.90

∵ The cost of downloaded five digital song is $7.25

- There is a linear relation between the cost of downloading

   the songs and the number of songs

∵ 2.90 = 2 × 1.45

∵ 7.25 = 5 × 1.45

∴ The total cost of downloaded songs is the product of the number

   of songs and the cost per song

∵ The cost per song is 1.45

∵ n is the independent variable

∴ n represents the number of songs

∵ c is the dependent variable

∴ c represents the total cost of n songs

- Now we can write the linear equation

∴ c = 1.45 n

The equation is c = 1.45 n

∵ 25 digital songs downloaded

∴ n = 25

∵ c = 1.45 n

∴ c = 1.45(25)

∴ c = 36.26

Total cost of 25 songs is $36.25

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Answer:

71 cents

Step-by-step explanation: Well it would be $1.00 minus the 29 cents she just got So 100 minus 29 is 71 it’s easy to do it in your head just think of 100 minus 30 and it’s 70 then subtract 1 from 30 and add it to the 70

Answer:

$0.71

Step-by-step explanation:

make $1.00 "100"* and $0.29 "29"* and subtract 100 and 29 to get "71" then turn the "71" into $0.71**

* this is done by making it a percentage by moving two units to the right

** this is done by making it a decimal by moving to units to the left

Answer:

The percent in increase is 18%.

Step-by-step explanation:

Given:

The price of gasoline rose from $2.45 in May to $2.89 in August.

Now, to find the percent of increase.

The price of gasoline in May = $2.45.

The price of gasoline in August = $2.89.

So, we get the price of increase:

[tex]2.89-2.45=\$0.44.[/tex]

Now, to get the percent increase:

[tex]\frac{0.44}{2.45} \times 100[/tex]

[tex]=0.179\times 100[/tex]

[tex]=17.9\%.[/tex]

The increase in percent nearest to whole = 18%.

Therefore, the percent in increase is 18%.

To find the percent increase in gasoline prices, you subtract the initial price from the final price, divide this difference by the initial price, and then multiply by 100 to get a percentage. In this case, the increase in price was about 18%.

The first step to finding the percent of increase in the price is to subtract the initial price from the final price. So, $2.89 - $2.45 equals $0.44. This is the amount of the increase in price. Then, to find the percentage of this increase, we divide the increase by the initial price, and multiply by 100 to convert it into a percentage. So, ($0.44 / $2.45) * 100 equals about 18%. So the percent of increase in the price of gas from May to August is 18%.

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Answer:

x = 5

Step-by-step explanation:

1. 8 (x + 2) = 56                 Distribute the 8

2. 8x + 16 = 56              Subtract 16 from both sides

3. 8x = 40                      Divide both sides by 8

4. x = 5

g(x) = (x-6)(2x - 1)

Step-by-step explanation:

when you expand, it will be 2x²-13x+6=0

when you factories the quadratic equations,

the answer will be 1/2 and 6

Answer:

g(x) = (x-6)(2x - 1)

Step-by-step explanation:

Answer: 3.77 ounces is the correct answer hope this helps

Answer:

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Because it is lol

120

The number of ways of arranging n unlike objects in a line is n! (pronounced ‘n factorial’). n! = n × (n – 1) × (n – 2) ×…× 3 × 2 × 1.

In the words TIGER there are 5 letters T,I,G,E,R.

The number of unique ways are there to arrange the letters in the word TIGER=5!=5*4*3*2*1=120.

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Answer:

it is 5%

Step-by-step explanation:

Answer:

The solution of  [tex]y = \frac{1}{2} x + 3[/tex]   and  [tex]y = -\frac{2}{3} x - 5[/tex]  is (-6.857, -0.429)

Step-by-step explanation:

The solution of y = 1/2 x  + 3 and y = -2/3 x -5

is (-6.857, -0.429) . The solution is shown in the graph attached.

Answer:

4 units

Step-by-step explanation:

Distance formula:

[tex] \sqrt{(x1 - x2)^{2} + (y1 - y2)^{2} } [/tex]

[tex]length \: of \: line \: xy \\ = \sqrt{(3 - 3 )^{2} + (1 - ( - 3))^{2} } \\ = \sqrt{(1 + 3)^{2} } \\ \ = \sqrt{4^{2} } \\ = 4 \: units[/tex]

Or since both coordinates lie at x=3, the line is a vertical line so you can simply count the increase in y to find the distance of the line.

1-(-3)= 4 units

Answer:

  a linear equation with a solution of m = 7

Step-by-step explanation:

The equation is a linear equation in m.

Perhaps you want the value of m that is the solution to the equation.

  10m -6m +27 = 9m -9 +1 . . . . . eliminate parentheses

  4m +27 = 9m -8 . . . . . . . . . . . . collect terms

  35 = 5m . . . . . . . . . . . . . . . . . .  add 8-4m to both sides

  7 = m . . . . . . . . .  divide by the coefficient of m

The solution is m = 7.

Answer:

x=98,217

Step-by-step explanation:

936 + 97281 = x

x=98217

Answer:

936 + 97281 = 98,217‬

x = 98,217‬

You just need to add to find x

The numbers that replaces each blank to make the inequality a true statement are 48 and 32. The new inequality is 48/24 > 1/4 > 4/32.

In Mathematics and Euclidean Geometry, an inequality is a relation that compares two or more numbers and variables in an algebraic equation based on any of the following inequality symbols:

Based on the information provided, we can logically deduce the following incomplete inequality;

_/24 > 1/4 > 4/_

In order to make the left-hand side of the inequality true, we must have a number that is greater 1/4 or 0.25;

48/24 = 2

48/24 > 1/4

2 > 0.25 (True)

In order to make the right-hand side of the inequality true, we must have a number that is less than 1/4 or 0.25;

4/32 = 0.125

1/4 > 4/32

0.25 > 0.125 (True).

In conclusion, any number that is greater than 1/4 would make the left-hand side of the inequality true while any number that is less than 1/4 would make the right-hand side of the inequality true.

Complete Question:

Use symbols. Replace each __ with a number to make _/24 >1/4 > 4/_ a true statement.

Answer:

B) GREATEST POSSIBLE PROBABILITY in any experiment is 1.

Step-by-step explanation:

The probability of any event E is given as:

[tex]\textrm{Probability of any event E} = \frac{\textrm{Number of favorable events}}{\textrm{Total Number of outcomes}}[/tex]

Let us assume the the number of TOTAL OUTCOMES of any event E  = n

Now, if the event is a SURE EVENT, then all outcomes are favorable events.

So, the total number of maximum  favorable events   = n

[tex]\textrm{Probability of event E} = \frac{\textrm{Number of favorable events}}{\textrm{Total Number of outcomes}} = \frac{n}{n} = 1[/tex]

Hence, the GREATEST POSSIBLE PROBABILITY in any experiment is 1.

Answer:

3.5/1

Step-by-step explanation:

(0,0)

(3.5,1)

Answer:

Step-by-step explanation:

203 miles in 3.5 hrs....and 243 miles in 4.5 hrs

totaling : (203 + 243) miles in (3.5 + 4.5) hrs = 446 miles in 8 hrs

speed = distance / time

speed = 446 / 8

speed = 55.75 mph <==

Answer:

look at the picture shown

In both DNA and RNA, pairs are formed between cytosine and guanine. In DNA, adenine pairs with thymine, but in RNA it pairs with uracil.

So the corresponding mRNA strand would be

C. UCG CGA

Answer:

UCG CGA

Step-by-step explanation:

Answer:

The ordered pair (6,3) can not be a solution for the problem situation.

Step-by-step explanation:

Marcus has total 50 tokens to spend at the carnival.

Now, given that the Ferris wheel costs 7 tokens and  the carousel costs 5 tokens.

So, if Marcus play the Ferris wheel for x times and the carousel for y times, the total expenditure will be given by

7x + 5y = 50 ............ (1)

Now, the ordered pair (6,3) i.e. x = 6 and y = 3 does not satisfy the above relation equation (1).

So, the ordered pair (6,3) can not be a solution for the problem situation. (Answer)

The correct answer would be, Jeremy rides at a greater speed than Kevin.

Step-by-step explanation:

Jeremy rides at a rate of 15 miles per hour

Kevin rides at a rate given in the table

Let Y be the distance traveled by Jeremy

And X be the number of hours

Then for Jeremy:

y/x = 15/1

=> y= 15 x

For Kevin:  

(46-23)/(4-2)

= 23/2

= 11.5

So for Kevin, Y = 11.5 x

So when Jeremy's and Kevin's rates are compared,

15 > 11.5

which means Jeremy rides at a greater speed.  

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Answer: Hat: £3 Scarf: £1.50

Step-by-step explanation:

hope this helps

The cost of a hat is £2 and the cost of a scarf is £1.5, obtained by solving the system of simultaneous equations representing the cost relationships.

To solve this problem, you need to use a method called simultaneous equations. We denote the cost of a hat as 'h' and the cost of a scarf as 's'.

Then, we write down two equations based on the problem:

From Equation 1, we express 'h' as (12 - 2s) / 3. Substituting this into Equation 2 leaves us with a sole variable 's', after calculating this equation, you obtain s = 1.5, Substituting s into the first equation, we get h = 2. So, the cost of a hat is £2 and the cost of a scarf is £1.5.

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The circumference will be doubled if radius is doubled

The area will increase four times if radius is doubled

Step-by-step explanation:

We will solve the question in two parts.

One for circumference and one for Area

Circumference:

The formula for circumference is given by:

[tex]C = 2\pi r[/tex]

Here r is the radius.

Doubling the radius means that new radius will be 2r

The new circumference will be:

[tex]C_N = 2\pi (2r)\\C_N = 2(2\pi r)\\C_N = 2C[/tex]

Hence,

The circumference will be doubled if radius is doubled

Area:

The area of circle is given by:

[tex]A = \pi r^2[/tex]

Putting radius equal to 2r

[tex]A_N = \pi (2r)^2\\A_N = \pi (4r^2)\\A_N = 4(\pi r^2)\\A_N = 4A[/tex]

Hence,

The area will increase four times if radius is doubled

Keywords: Circle, area

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Answer:

whats the equation???

Step-by-step explanation:

Answer:help with mine ples

Step-by-step explanation: beause i need it orther wise i fail

Answer:

Option $152.19

Step-by-step explanation:

Data provided in the question:

Previous balance = $152.35

Finance charge = $1.78

New purchases of $45.23 and $15.67

Payment = $50.00

Credit = $12.84

Now,

New Balance

= [Previous balance + Finance charge + New purchases ] - [ Payments + Credits ]

= [ $152.35 + $1.78 + ($45.23 + $15.67) ] - [$50.00 + $12.84 ]

= $215.03 - $62.84

= $152.19

Hence,

Option $152.19