Graph the line with slope -3 passing through the point (5,1) .

Find the longest side of a parallelogram.

Perimeter of parallelogram = 2 ( a + b )

We know that,

Perimeter of parallelogram = 2 ( a + b )

★ Substituting the values in the above formula,we get:

⇒ 66 = 2 ( 3x + 1 + 2x - 3 )

⇒ 66 = 2 ( 5x - 2 )

⇒ 66/2 = 5x - 2

⇒ 33 = 5x - 2

⇒ 5x - 2 = 33

⇒ 5x = 33 + 2

⇒ 5x = 35

⇒ x = 35/5

⇒ x = 7 ft

Now,

One side,a = 3x + 1

★ Putting the value of x

⇒ 3 × 7 + 1

⇒ 21 + 1

⇒ 22 ft

Other side,b = 2x - 3

★ Putting the value of x

⇒ 2 × 7 - 3

⇒ 14 - 3

⇒ 11 ft

Hence,the longest Side of given parallelogram is 22 ft ( 3x + 1 ) .

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Work Shown:

I'm assuming your teacher meant to say the ramp is 7 meters long and the ramp rises up 4.2 meters. It doesn't make sense the way they phrased it initially since the ramp must be the longest part (it is the hypotenuse of the right triangle).

See diagram below.

The angle of elevation is the angle made between the ramp and the ground. It's the angle amount the ramp tilts upward.

sin(angle) = opposite/hypotenuse

sin(theta) = 4.2/7

sin(theta) = 0.6

theta = arcsin(0.6)

theta = 36.869897645844

theta = 36.9

Note: inverse sine or [tex]\sin^{-1}[/tex] is the same as arcsine. Make sure your calculator is in degree mode.

Answer:

364

Step-by-step explanation:

2✖️7=14

5✖️7=35

because 14 is two digits, you move the one and plus it to 35 which makes 36.

Leave the 4, and it becomes 364.

Answer:

[tex]\Huge \boxed{364}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

52 × 7

52 = 50 + 2

50 × 7 = 350

2 × 7 = 14

Adding 350 and 14,

350 + 14 = 364

[tex]\rule[225]{225}{2}[/tex]

Answer:

The cost of dinner plus a 15% tip was $23. How much is the dinner?

the cost of the dinner = $20

Step-by-step explanation:

Given that:

p= cost of dinner

0.15p = cost of a 15% tip

p + 0.15 p = 23

The objective is to represent this problem in words based on the given information.

From above, we can say that:

The cost of dinner plus a 15% tip was $23. How much is the dinner?

SO;

p + 0.15 p = 23

1.15 p = 23

Divide both sides by 1.15

p = 23/1.15

p = 20

Therefore, the cost of the dinner = $20

Answer:

This is because anything multiplied by zero is zero itself.

Step-by-step explanation:

Ex: Multiply

[tex] 2 \times \sqrt{2} [/tex]

Here 2 is rational and root. 2 is irrational.

Their product is

[tex]2 \sqrt{2} [/tex]

Which is irrational.

But if you have

[tex]0 \times \sqrt{2} [/tex]

Where 0 is rational and root .2 is irrational.

Their product is

[tex]0[/tex]

Whis is rational.

Hope this helps... :-)

Answer:

there is not enough information this question makes no sense if you can give me more info in the comments i can edit my answer

Step-by-step explanation:

Answer: 540 miles

Step-by-step explanation:

plug in the numbers into the equation

multiply and ta-da

Answer:

540 miles

Step-by-step explanation:

y = 45(12) = 540

Answer:

x=-20

Step-by-step explanation:

Just put the x on the other side of the equation

Answer:

n = 14

Step-by-step explanation:

7n +9 = -1+6(n+4)

Distribute

7n+9 = -1 +6n+24

Combine like terms

7n +9 = 6n +23

Subtract 6n from each side

7n -6n+9 = 6n-6n +23

n+9 = 23

Subtract 9 from each side

n+9-9=23-9

n = 14

Answer:

Third Quartile: 16

Step-by-step explanation:

In the box plot given, the five-number summary displayed are:

1. Min = 2

2. First quartile = 4

3. Median = 8

4. Third Quartile = 16

5. Max = 20

Therefore, the statement that is true about the box plot is "Third Quartile: 16". All other statements regarding the box plot are incorrect and untrue.

Answer:

26x-23y

Step-by-step explanation:

1. expand the terms 2x-18y+24x-5y

2. combine like terms 26x-23y

Options :

a. The same number of tickets was sold on the fourth day and tenth day.

b. No tickets were sold on the fourth day and tenth day.

c. Fewer tickets were sold on the fourth day than on the tenth day.

d. More tickets were sold on the fourth day than on the tenth day.

Answer:

a. The same number of tickets was sold on the fourth day and tenth day.

Step-by-step explanation:

Given that the average rate of change in T(d), a function used to relate the number of tickets sold for a movie to the number of days since its release is 0 for interval: d=4 and d=10.

Rate of change measures the change in quantity in relation to another, in the scenario it could be interpreted as, the change in quantity of ticket t sold with respect to change in the number of days since the movies was released.

Therefore, if the average rate of change obtained for d =4 and d = 10 gives 0, then it could be inferred that the value of T(d) on both days are the same.

[T(10) - T(4)] / 2 = 0

Then T(10) = T(4)

Answer:

1st option A

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

3/5 = 0.6

11/26 = 0.423

Answer:

 b

Step-by-step explanation:

3/5 ⇒0.6

11/26⇒0.423

option a is wrong as

         0.6 is not less than 0.432

option  b is correct as

        0.6 is greater than 0.4

option c is wrong as

            0.6≠0.432

Answer:

-i

Step-by-step explanation:

[tex]i^{79}\\ i^{76+3}\\ i^{3}\\-i[/tex]

Answer:

false

Step-by-step explanation:

because any number with power "0" always gives 1

Answer:

False

Step-by-step explanation:

[tex]x \in \mathbb{Q}[/tex]

[tex]x \cdot 0=x[/tex]

This statement is false.

Take the example:

[tex]$\frac{1}{2} \cdot 0\neq \frac{1}{2} $[/tex]

[tex]$\frac{1}{2} \cdot 0=0$[/tex]

The product of any number and 0 is 0.

Solution :-

First of all we have to find out the least common multiple of the given three numbers.

27 , 30 and 45

27 = 3 x 3 x 3

30 = 2 x 3 x 5

45 = 3 x 3 x 5

Form these factors we have to find the numbers which are common in all the three .

LCM = 2 x 3 x 3 x 3 x 5 = 270 .

Now 270 is completely divisible but the number which we want leaves 3 as remainder.

So adding 3 in 270 .

→ 273 is the required answer.

Answer:

c. 80 cm

Step-by-step explanation:

Area of a parallelogram = base × height

A = 16 cm × 5 cm

A = 80 cm

Answer:

Step-by-step explanation:

[tex]Base =16\\Height =5\\Area = Base\times Height\\= 16 \times 5\\= 80cm[/tex]

Answer:

nose  que sad es tu vida

Step-by-step explanation

.:{

Answer:

x=5

Step-by-step explanation:

you need to do dirty math stuff for these kind of Q. not hard you just need to do it, or use computer graphs to solve them.

The composite of functions f(x) and g(x) is given by:

[tex](f \circ g)(x) = -60x + 383[/tex]

[tex](f \circ g)(x) = f(g(x))[/tex]

In this problem, the functions are:

[tex]f(x) = 30x - 7[/tex]

[tex]g(x) = 13 - 2x[/tex]

Hence, the composite function is:

[tex](f \circ g)(x) = f(g(x)) = f(13 - 2x) = 30(13 - 2x) - 7 = -60x + 383[/tex]

You can learn more about composite functions at https://brainly.com/question/17684028

Answer:

The two numbers are 5 and 1. Their product is 5

Step-by-step explanation:

x + y = 6 (*)

x - y = 4 (**)

Let (*) + (**)

--> (x+y) + (x-y) = 6 + 4

<=> 2x = 10 <=> x = 5

Substitute x= 5

(*) <=> 5 + y = 6

<=> y=1

Answer: (x,y) = (5,1)

Their product: x.y = 5x1 = 5

Answer:

9x - 5  

Step-by-step explanation:

Simplify:

Correct choice: B. 9x -5

Answer:

9x - 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

4p - p = 4p - 1p = (4 - 1)p = 3p

Answer:

outer ring worth 14 pts

bull's-eye worth 74.333333 pts

Step-by-step explanation:

let the worth point of landing an arrow on the outer ring be "x" and on bull's eye be "y"

For amelia

[tex]3x + 3y = 267[/tex]

For joey

[tex]4x + 3y = 281[/tex]

subtracting the first equation from the second

[tex]x = 14[/tex]

[tex]3x + 3y = 267[/tex]

[tex]42 + 3y = 267[/tex]

[tex]3y = 223[/tex]

[tex]y = 74.333[/tex]

Answer:

10. 285

11. [tex]6\frac{3}{4}[/tex]

16.a. Stiles Family

Reason-The Styles family uses  twice as much as the other two, because the electric consumption per person (which is =745 KWh) is much higher than the other two.

16.b. Mendelez family

Reason-The Mendelez family uses the least amount of water, because the water usage  per person (which is =875 gallons) is much lower than the other two.

Step-by-step explanation:

10. In 6 mins, no. of machine parts produced = 114

in 1 min, no. of machine parts produced = 114/6

in 15 min, no. of machine parts produces  [tex]\frac{114 *15}{6}\\=285[/tex]

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11. To make 8 jumbo muffins take, amount of baking powder used = [tex]1\frac{1}{2} =\frac{3}{2}[/tex]

To make 1 jumbo muffin, amount of baking powder used = [tex]\frac{3}{2} / 8[/tex] =3/16

To make 3 dozens = (3 * 12 )= 36 muffins, amount of baking powder used =  36 *3/16

[tex]=\frac{27}{4}[/tex] =[tex]6\frac{3}{4}[/tex]

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

16. a. Electricity consumed by 1 person in the Mendelez family :

=1560/4

=390 KWh

Electricity consumed by 1 person in the Barton family:

=2130/6

=355 KWh

Electricity consumed by 1 person in the Styles Family:

=1490/2

=745 KWh

The Styles family uses  twice as much as the other two, because the electric consumption by 1 person is much higher than the other two.

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

16.b. Water consumed by 1 person in the  Mendelez family = 3500/4=875 gallons

Water consumed by 1 person in the Barton family = 6400/6=1050 gallons

Water consumed by 1 person in the Styles family =2500/2=1250 gallons

Answer:

2 and a half hours

Step-by-step explanation:

Hello!

To find this we add how far Mary and Ann travel and subtract that from the total distance till we get 0

2.5 + 2 = 4.5

11.25 - 4.5 = 6.75  First hour

6.75 - 4.5 = 2.25  Second hour

2.25 is half of 4.5  and half an hour is 30 minutes

2.25 -2.25 = 0 half hour

It will take them 2 and a half hours

The answer is 2 and a half hours

Hope this helps!

Answer:

2 1/2

Step-by-step explanation:

to in a half hours hopefully this helps

Answer: The sets are:

b and d.

Step-by-step explanation:

A set is a collection of distinct objects, a set must be well defined, and it can contain numbers, people, objects, etc. (sets can contain infinite elements, for example, the set of the real numbers has infinite elements)

A) The current U.S senators from Texas.

Ok, the "current U.S senators from Texas" depend on when this is read. For example, the senators of today will not be the same as the senators in 10 years from now.

So the elements of this set today are not the same as the ones in 10 years, then this is not a well defined set.

A weel defined set in this case, would be:

"The U.S senators from Texas for the year 2020"

So this is a set of numbers, we know that 1987 is a prime number, so the only prime number that divides 1987 is 1987.

Then this set is {1987}

is well defined.

c) All the people in Mexico.

A person is well defined.

So when i say "all the people in Mexico has for now" we can find all those "elements" and make a set with them.

But the people in Mexico change, so the elements of this set actually depend on when this is read, so this is not well defined.

D) Al the prime numbers between 8 and 10.

Well, we do not have any prime number between 8 and 10, so this is an empty set:

{∅}

Answer:

Step-by-step explanation:

x = 360° - 2•90° - 2•58° = 64°