What must the length of segment AD be for the quadrilateral to be a parallelogram? 8 units 16 units 31 units 62 units

Answer:

The second answer: y= 3/4x + 2

Step-by-step explanation:

Subtract 4x to the other side

Divide by 3 to get y by itself

Make the coefficient of the x term the negative reciprocal, for that is the perpendicular slope of the line

recall that to get the inverse of any expression, we start off by doing a quick switcheroo on the variables, and then solve for "y".

[tex]\bf \stackrel{f(x)}{y}=2x\implies \stackrel{\textit{switcheroo}}{x=2y}\implies \cfrac{x}{2}=y\implies \cfrac{1}{2}x=\stackrel{f^{-1}(x)}{y}[/tex]

Answer:

24 dollars

Step-by-step explanation:

Linda spends $24 for two items that bought from the store.

Calculate the answer using a math operator is referred to as a mathematical operation.

Basic mathematical operations are addition, multiplication, subtraction and division.

Given that,

Cost price of one time = $12.

Also, number of items that Linda bought = 2.

To find the total amount that Linda spends.

Use mathematical operations,

cost of 1 item = $12

Cost of 2 items = 12 x 2 = 24.

Hence, Linda spends $24 for 2 items.

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Answer with Step-by-step explanation:

Let x and y be two numbers.

One number is 3 less than twice another.

⇒ y=2x-3

Their sum is 39.

⇒ x+y=39

Hence, system of equations are:

y = 2x - 3 and x + y = 39

Putting y=2x-3 in x+y=39

x+2x-3=39

⇒ 3x-3=39

⇒ x-1=13 (dividing both sides by 3)

⇒ x=14

y=2x-3

⇒ y=2×14-3

⇒ y=28-3

⇒ y=25

Hence, Two numbers are:

14 and 25

Answer:

10200

Step-by-step explanation:

The population in 1999 was 10200.

Given is that the population of at a town has grown 2% each year. In 1998, the population of the town was about 10,000 people.

Let the population be in 1999 be {x}. Then, we can write -

{x} = 10000 + {2% of 10000}

{x} = 10000 + {2/100 x 10000}

{x} = 10000 + 200

{x} = 10200

Therefore, the population in 1999 was 10200.

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Answer:

x + 4 = 7 + 4 = 11 feet

Step-by-step explanation:

Do you ever have a nice "fist", meaning you have very neat handwriting.

You are told that A to MSG = B to MSG

So

Equation

3x - 10 = x + 4

Solution

Subtract x from both sides

3x - x - 10 = x - x + 4             Simplify

2x - 10 = 4                             Add 10 to both sides

2x - 10 + 10 = 4 + 10              Simplify

2x = 14                                   Divide by 2

2x/2 = 14/2

x = 7

x + 4 = 7 + 4 = 11 feet from A to Madison Square Garden

To calculate a new salary after a pay increase, multiply the current salary by the percentage increase and add it to the original salary. In this case, a 6% increase on a $62,900 salary results in a new annual salary of $66,674.

The subject of this question is determining the new salary after a pay increase, which is a common problem in mathematics related to percentages. To calculate the new salary after a 6% pay increase to a current salary of $62,900, you multiply the current salary by the percentage increase in decimal form, which is 0.06.

Step-by-Step Calculation

Determine the increase amount by multiplying the current salary by the percentage increase: $62,900 × 0.06 = $3,774.

Add the increase to the current salary to get the new salary: $62,900 + $3,774 = $66,674.

The new annual salary after a 6% increase will therefore be $66,674.

To generalize, the formula to calculate the percentage change or growth rate is given by:

Percentage change = (Change in quantity / Original Quantity) × 100

For example, a $2 per hour raise on a $10 per hour job represents

Percentage change = ($2 / $10) × 100 = 20%

Answer:

answer is x=2

The solution set for the equation 6x - 2 = 10 using the replacement set {1, 2, 3, 4} is {2}, as 2 is the only number in the set that, when substituted into the equation, satisfies it.

The solution set for the open sentence 6x - 2 = 10 using the given replacement set {1, 2, 3, 4} can be found by solving the equation for x and then checking which numbers in the replacement set satisfy the equation.

Therefore, the solution set is {2}.

Answer:

Sammy, after picking out her clothes, bringing them to the counter and ringing them up. owes in total: $49.78

Step-by-step explanation:

Final answer:

This answer explains how to calculate the total amount of money Sammy spent on T-shirts and jeans including sales tax.

Explanation:

To find out how much Sammy spent in total:

Calculate the total cost of the 3 T-shirts: $15.75 x 3 = $47.25

Calculate the total cost of the pairs of jeans: $28.79 x 2 = $57.58

Add the total costs of the T-shirts and jeans: $47.25 + $57.58 = $104.83

Add the sales tax to get the final amount: $104.83 + $5.24 = $110.07

Therefore, Sammy spent $110.07 in all.

Answer:

16.3 hours.

Step-by-step explanation:

"Decays exponentially at a rate of 11% per hour" translates into

(1 - 0.11)^h, where h is the number of hours during which the drug decays.

The negative sign comes from "decay."

The complete formula applicable here is

d(h) = (100 mg)(1 - 0.11)^h, where h is the number of hours.  

We want to know how many hours it will be until all but 15 mg remain.  The appropriate formula for this is

15 mg = (100 mg)()^h.  Dividing both sides by 100 mg, we get:

 15 mg

------------- = 0.89^h, or 0.15 = 1.11^h

100 mg

Apply properties of logs to solve this.  Take the natural log of both sides of the above equation.  We get:

ln 0.15 = h(ln 0.89).  Dividing both sides by ln 0.89, we get:

h = 16.3

The original 100 mg dosage would decay to 15 mg after 16.3 hours.

Answer:

142.2 meters.  

Step-by-step explanation:

We have been given that a box measures 70 cm X 36 cm X 12 cm is to be covered by a canvas.      

Let us find total surface area of box using surface area formula of cuboid.

[tex]\text{Total surface area of cuboid}=2(lb+bh+hl)[/tex], where,

[tex]l[/tex] = Length of cuboid,

[tex]b[/tex] = Breadth of cuboid,

[tex]w[/tex] = Width of cuboid.

[tex]\text{Total surface area of box}=2(70\cdot36+36\cdot 12+12\cdot 70)[/tex]

[tex]\text{Total surface area of box}=2(2520+432+840)[/tex]

[tex]\text{Total surface area of box}=2(3792)[/tex]

[tex]\text{Total surface area of box}=7584[/tex]

Therefore, the total surface area of box will be 7584 square cm.  

To find the length of canvas that will cover 150 boxes, we will divide total surface area of 150 such boxes by width of canvass as total surface area of canvas will also be the same.

[tex]\text{Width of canvas* Length of canvass}=\text{Total surface area of 150 boxes}[/tex]

[tex]80\text{ cm}\times\text{ Length of canvass}=150\times 7584\text{cm}^2[/tex]

[tex]\text{ Length of canvass}=\frac{150\times 7584\text{ cm}^2}{80\text{ cm}}[/tex]

[tex]\text{ Length of canvass}=\frac{1137600\text{ cm}^2}{80\text{ cm}}[/tex]

[tex]\text{ Length of canvass}=14220\text{ cm}[/tex]

Let us convert the length of canvas into meters by dividing 14220 by 100 as 1 meter equals to 100 cm.

[tex]\text{ Length of canvass}=\frac{14220\text{ cm}}{100\frac{cm}{m}}[/tex]

[tex]\text{ Length of canvass}=\frac{14220\text{ cm}}{100\frac{cm}{m}}[/tex]

[tex]\text{ Length of canvass}=\frac{14220\text{ cm}}{100}\times\frac{m}{cm}[/tex]

[tex]\text{ Length of canvass}=142.20\text{ m}[/tex]

Therefore, 142.2 meters of canvas of width 80 cm required to cover 150 such boxes.

Answer:

[tex]\ y\geq 5\cdot x\\x+y\geq 50\\y\leq25\\x\leq200\\y\geq0\\x\geq0[/tex]

Step-by-step explanation:

STEP 1 : First we draw the graph for [tex]y\geq 5\cdot x[/tex] by letting [tex]y=5x[/tex]

it is denoted by red colour

STEP 2 : Now we draw the graph for [tex]x+y\geq 50[/tex] by letting [tex]x+y=50[/tex]

It is denoted by orange colour

STEP 3 : Now we draw for [tex]y\leq25[/tex] by letting [tex]y=25[/tex]

It is denoted by green colour.

STEP 4 : Now we draw for [tex]x\leq200[/tex] by letting [tex]x=200[/tex]

It is denoted by blue colour.

Answer:

The no. of adult's tickets sold is 25.

The no. of adult's tickets sold is 247

Step-by-step explanation:

Given :

Tickets for a basketball game cost $2 for students and $5 for adults.

The number of students was 3 less than 10 times the number of adults.

The total amount of money from ticket sales was $619.

To Find : No. of each ticket were sold

Solution :

Let x be the no. of the student's tickets sold

Let y be the no. of adult's tickets sold

Since we are given that The number of students was 3 less than 10 times the number of adults.

⇒ x = 10y -3 --(A)

Now cost of 1 student's ticket is $2

Thus, cost of x student's ticket is $2x

Now cost of 1 adult's ticket is $5

Thus,cost of y adult's ticket is $5y

Since we are given that the total amount of money from ticket sales was $619.

⇒2x +5y =619 ---(B)

Solving equation A and B by substitution method :

putting value of x from (A) in (B)

We get :

⇒2( 10y -3) +5y =619

⇒20y-6+5y= 619

⇒25y = 625

⇒y = 625/25

⇒y=25

Thus,  the no. of adult's tickets sold is 25.

Putting value of y in equation A to get value of x .

⇒x = 10(25) -3

⇒x = 247

Thus the no. of adult's tickets sold is 247

Answer:

y=1 for [tex]y\leq 1[/tex]

Step-by-step explanation:

We can solve an inequality much like we solve an equation. We will use inverse operations to isolate y. If we need to divide by a negative then we will need to flip the inequality.

[tex]2y+9\leq 11\\2y+9-9\leq 11-9\\2y\leq 2\\\frac{2y}{2}\leq  \frac{2}{2} \\y\leq 1[/tex]

First, we moved 9 across the equal sign to combine it with 11 by subtracting by 9 from both sides.

Second, we divided both sides by 2.

[tex]y\leq 1[/tex] is the solution. All solutions equal to 1 and less than 1 will work.

Answer:

all the lines are correct but for x<= 2 there need to be a closed circle, and vica versa for all the others.

Step-by-step explanation:

The lines are correct but for x<= 2

Answer: 4 and 9

Step-by-step explanation:

9 x 4 = 36

The square root of 9 is 3, so 9 is a perfect square.

The square root of 4 is 2, so 4 is a perfect square.

Answer:

9 x 4 = 36

Step-by-step explanation:

you should be able to mark him brainliest now =) =) =)

Answer:

if that is all it says you can do simple cross multiplication

Step-by-step explanation:

18*3/2=x

x will give you the nre number. If you dont know how to do that math go to desmos and type it in. the answer should be 27 if i did it correctly in my head but please check my work.

A student helping a student

The new pentagon has a perimeter of 27 centimeters.

To find the perimeter of a regular pentagon, we multiply the length of one side by the number of sides. In this case, the perimeter is 18 centimeters, so each side of the pentagon is 18/5 = 3.6 centimeters long.

When this pentagon is dilated by a scale factor of 3/2, each side of the new pentagon will be 3/2 x 3.6 = 5.4 centimeters long.

Therefore, the new pentagon has a perimeter of 5.4 x 5 = 27 centimeters.

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Answer:

x=66.667

Step-by-step explanation:

Basically, if y varies directly with a value x, you get an equation of the form y=kx, where k is a constant. To answer the question, first substitute 9 into y, and 24 into x.

                                                   9=24k

                                                   k=0.375

k is 0.375, so to get x, substitute 0.375 into k and 25 into y

                                                   25=0.375x

                                                     x=66.667

And we got it!

Final answer:

To find x when y = 25 in a direct variation where y = 9 when x = 24, first find the constant of proportionality (k = 3/8), then use this constant to solve the equation 25 = (3/8)x which yields x ≈ 66.67.

Explanation:

The student's question concerns direct variation, which is a concept where one variable changes in proportion to another variable. In this particular problem, the measure y varies directly with x. Given that y = 9 when x = 24, we can use this information to establish the constant of proportionality k where y = kx.

First, we solve for k using the initial condition:

9 = k * 24

k = 9/24

k = 3/8

Now that we have the constant of proportionality, we can find x when y = 25 by setting up the equation:

25 = (3/8)x

x = 25 * (8/3)

x = 200/3

x ≈ 66.67

Therefore, when y = 25, the value of x is approximately 66.67.

Answer:

95

Step-by-step explanation:

We have been given a diagram triangle in which measurement of few angles in terms of x are given.

Using those we need to find the exterior angle but before that we need to find the value of x.

We know that exterior angle is equal to sum of two distant interior angles of that triangle so we can write:

(8x+15)=(3x+20)+(4x+5)

8x+15=3x+20+4x+5

8x+15=7x+25

8x-7x=25-15

x=10

Now plug x=10 into exterior angle 8x+15

8x+15=8*10+15=80+15=95

Hence final answer is 95.

Answer:

4

Step-by-step explanation:

As each x value increases by 1, the output values increase by a factor of 4. This means that each y value can be multiplied by 4 to get the next y value.

1/2(4)=2

2(4)=8

8(4)=32

4 is the factor.

Answer:

To find the perimeter, just add up the lengths of the each side.

AB = 13 units

BC = 12 units

CA = 5 units

P = 13 + 12 + 5 = 30 units

45+0.15·45=45+6.75=51.75$

Answer:

The numbers are 11 and 7

Step-by-step explanation:

To find these, use the statements to create equations in standard form.

3x + y = 40

x - y = 4

Now that we have these two, we can add them together and get the y's to cancel out.

3x + y = 40

x - y = 4

-------------------

4x = 44

x = 11

Now that we have the first number as 11, we can solve for y using either equation.

x - y = 4

11 - y = 4

-y = -7

y = 7

Answer:

A Experimental Probability

Step-by-step explanation:

The 59 percent is based on the data from the actual data.  The theoretical probability is 50 percent for male and 50% and female.

Answer:

The recursive formula to model Kendyl's progress is:

Fourth option: an=an-1 + 2, a1=8

Step-by-step explanation:

She currently has the first eight bars memorized: The first value is 8:

a1=8

She plans to memorize two more bars everyday until she has the whole piece memorized:

The number of bars memorized is two more than the last day:

an=an-1 + 2

Then, the recursive formula is:

an=an-1 + 2, a1=8

Answer:

The correct choice is D hope that helps

Answer:

The amount of Rita's pocket money left is Rs. 36.

Step-by-step explanation:

Pocket money that Rita had before = 144

Money spent for magazines = 52% of 144

= [tex]\frac{52}{100} (144)[/tex]

= 0.52(144)

= 74.88

Money spent for movies = 23% of 144

= [tex]\frac{23}{100} (144)[/tex]

= 0.23(144)

= 33.12

Money left with Rita = 144 - (74.88 + 33.12)

= 144 - 108

= 36

Hence, Rita left with Rs. 36.

Aliter:

Total money spent = (52 + 23)% = 75%

So, money left with Rita = 100 - 75 = 25%

25% of 144 = 0.25(144) = 36.

Answer:

$1.25

Sorry that i dont have an explanation i just didnt wanna confuse you lol

The rational number equivalent to -20/4 is -5.

A rational number equivalent to -20/4 is -5. This can be found by dividing the numerator (which is -20) by the denominator (which is 4). The result of this division is -5. Hence, -5 is the rational number equivalent to -20/4.

Answer:

12.5%

Step-by-step explanation:

sum the parts of the ratio 1 + 3 + 4 = 8 parts

8 parts represents 100%, hence

1 part = [tex]\frac{100}{8}[/tex] = 12.5% ← Andy's percentage of the total

Andy Taylor's share in the ratio of 1:3:4 results in him receiving 12.5% of the total team payment.

The question is about the sharing of a total team payment between Andy Taylor and Ben in the ratio of 1:3:4. To find out what percentage Andy receives, we first need to establish the total parts in the ratio. The ratio 1:3:4 sums up to 8 parts in total. Andy's share is represented by 1 part out of these 8. To find the percentage, we divide Andy's 1 part by the total 8 parts, multiply by 100, giving us 12.5%. This means that Andy receives 12.5% of the total team payment.

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