Can someone help me from 18-21

Answer:

Step-by-step explanation:

[tex]\dfrac{1}{2}x+3<2x-6\qquad\text{multiply both sides by 2}\\\\2\!\!\!\!\diagup^1\cdot\dfrac{1}{2\!\!\!\!\diagup_1}x+2\cdot3<2\cdot2x-2\cdot6\\\\x+6<4x-12\qquad\text{subtract 6 from both sides}\\\\x<4x-18\qquad\text{subtract 4x from both sides}\\\\-3x<-18\qquad\text{change the signs}\\\\3x>18\qquad\text{divide both sides by 3}\\\\x>6[/tex]

Answer:

30 minutes

Step-by-step explanation:

Given:

Max can mow a lawn in 45 minutes

Max mows in 45mins= 1 lawn

Max mows in 1 min= 1//45 lawn

Jan takes twice as long to mow the same lawn

Jan mows in 2(45mins)= 1 lawn

Jan mows in 1 min= 1//90 lawn

Now finding how long will it take,t , them to mow the lawn

1/t= 1/45 + 1/90

1/t= (2+1)/90

1/t= 3/90  

t= 90/3  

t = 30  

If they work together, they will take 30 minutes to mow the lawn !

Answer:

120

Step-by-step explanation:

A triangles angles always add to 180 degrees.

180=20+40+x

180-20=160

160-40=120

120=x

Answer:

120

Step-by-step explanation:

20+40=60

180-60

120

Answer: (3x-1)(4x+7)

For this case we make the product of the following expression:

[tex](3x-1) (2x ^ 2 + 4x + 3)[/tex]

To make the product we must apply distributive property that by definition establishes that:

[tex](a + b) (c + d) = ac + ad + bc + bd[/tex]

So:

[tex](3x-1) (2x ^ 2 + 4x + 3) =\\6x ^ 3 + 12x ^ 2 + 9x-2x ^ 2-4x-3 =[/tex]

We group similar terms:[tex]6x ^ 3 + (12x ^ 2-2x ^ 2) + (9x-4x) -3 =\\6x ^ 3 + 10x ^ 2 + 5x-3[/tex]

Answer:

[tex]6x ^ 3 + 10x ^ 2 + 5x-3[/tex]

Answer: A?

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer: 28 nickels and 13 quarters

Step-by-step explanation:

Let the number of nickels represented by x and the number of quarters represented by y.

Then according to the question, we have the following equations :

[tex]x+y=41....................(1)\\\\0.05x+0.25y=4.65.................(2)[/tex]

Divide 0.05 on both sides  of equation (2), we get

[tex]x+5y=93........................(3)[/tex]

Subtract equation (1) from equation (3) , we get

[tex]4y=52\\\\\Rightarrow\ y=13[/tex]

From (1), x=28

Therefore, there are 28 nickels and 13 quarters.

Answer:

x=28 (Yup you're correct)

Step-by-step explanation:

As this problem is involving the Opposite angle and the Hypotenuse, we can use the sin function in order to solve this. The setup is as follows

[tex]sin(30)=\frac{14}{x}[/tex]

Now we can solve for x

[tex]sin(30)=\frac{14}{x}\\\\x=\frac{14}{sin(30)}[/tex]

Now we can plug it into a calculator to get

[tex]x=28[/tex]

Answer:

Step-by-step explanation:

(Look at the picture)

We have the triangle 30° - 60° - 90°. The sides are in ratio 1 : √3 : 2.

We have a = 14. Therefore x = 2a ⇒ x = 2(14) = 28

3 kids and $24 will give each 24/3=$8 each

$8 for 4days is 8/4=$2 a day they spent

Answer:

-8

Step-by-step explanation:

-4a + 8z

= -4(8)+8(3)

= -32+24

= -8

use the substitution method

-4a+8z

-4(8)+8(3)

-32+24 Negative number times (*) and positive number=negative number

=-8

Answer is -8

Answer:

rate of change is

Step-by-step explanation:

first point is 45

second point is 90

45-90    subtract

45  

3|-4|

|-4| means the absolute value, which is always the positive valu of the number shown.

|-4| = 4

Now you have 3 x 4 = 12

To evaluate 3|-4|, find the absolute value of -4 (which is 4) and then multiply it by 3, resulting in the answer 12.

The absolute value of a number is its distance from zero on the number line. To evaluate 3|-4|, we first find the absolute value of -4, which is 4. Then, we multiply 3 by 4 to get the final answer of 12.

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The correct answer is 6

Answer:

Option B is the correct answer

Step-by-step explanation:

Both collections follow arithmetic progression.

Back then, they had the same number of rare coins, which means their first term of AP is same. Let it be a.

Miguel's AP have a common difference 5 and Grace's AP have a common difference 3.

Let the number of weeks completed be n.

We have

           a + ( n-1 )x 5 = 38  -------- eqn 1

           a + ( n-1 )x 3 = 24  -------- eqn 2

eqn 1 - eqn 2

          a + ( n-1 )x 5 - (a + ( n-1 )x 3) = 38 - 24

          ( n-1 )x 2 = 14

          n-1 = 7

          n = 8

Substituting in eqn 1

           a + ( 8-1 )x 5 = 38

                     a = 38 - 35 =3

So at starting they both have 3 rare coins.

Total rare coins = 3 + 3 = 6

Option B is the correct answer

Answer:

-5x

Step-by-step explanation:

you multiply them together

(-5)(x)= -5x

Answer:

-5x

Step-by-step explanation:

-5 * X =

Answer:

7

Step-by-step explanation:

Using the trigonometric identity

• 1 + cot²x = cosec²x, then

2(cosec²Θ + cosec²Θ - 1 )

= 2(2cosec²Θ - 1)

= 4cosec²Θ - 2

= 4 × ([tex]\frac{3}{2}[/tex] )² - 2

= 4 × [tex]\frac{9}{4}[/tex] - 2

= 9 - 2

= 7

Answer:

p < 5

Step-by-step explanation:

The only "solving" you can do here is to solve for p:

Add 5 to both sides, obtaining 5 > p, which is equivalent to p < 5.

0>p-5

/ \

+5 +5

add 5 to both sides of the equation to make it disappear

so the answer is 5>p

The sum of all angles is 180 degrees. Which means.

[tex]

2y+y+10+50=180

[/tex]

Now just solve for y.

[tex]

3y+60=180 \\

3y=120 \\

y=\boxed{40}

[/tex]

The value of y is 40 therefore option B.

Hope this helps.

r3t40

For this case we have by definition, that the sum of the internal angles of a triangle is 180 degrees. Then, according to the figure we have:

[tex]y + 10 + 2y + 50 = 180[/tex]

We add similar terms:

[tex]y + 2y + 10 + 50 = 180\\3y + 60 = 180[/tex]

We subtract 60 from both sides of the equation:

[tex]3y = 180-60\\3y = 120[/tex]

We divide between 3 on both sides of the equation:

[tex]y = \frac {120} {3}\\y = 40[/tex]

Thus, the value of "y" is 40 degrees.

ANswer:

Option B

Answer:

Step-by-step explanation:

-3y-12= -4

     +12     +12

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

-3y= 8

-----   ------

-3        -3

y= -2 2/3 : B

Answer:

It's B.

Step-by-step explanation:

The range is 344 - 111

= 233.

Arranging the data in ascending order:

111 133 134 183 284 339 344

The lower quartile = 133 and the upper quartile = 339.

So the interquartile range =  339 - 133

= 206.

We first need to list the following Data Set:

111, 133, 134, 183, 284, 334, 339

Range = highest value - lowest value =

Range = 339 - 111 = 228

Interquartile range = upper quartile - lower quartile =

(or IQR = interquartile range, another term)

Interquartile range = 334 - 133 = 201

Answer: 1

Work:

The median is one because to find median you have to put all the values in order and the median is the model value of the organization. If there are two in the middle find the mean of both of them. To find the mean, add up all the values to find the total and then divide the total by the number of values you added together.

Hope this helped!

Answer:

16 dresses

Step-by-step explanation:

you can make 16 because when you divide the length of cloth (40 ft) by 2.5 (2 ft 6in) you get 16

Answer:

16

Step-by-step explanation:

We know 6 inches is .5 of a foot

1 ft = 12 inches

6 inches /12 inches = 1/2 ft

We have 40 ft of cloth and each dress is 2.5 ft long

Take 40 ft and divide by 2.5

40 ÷ 2.5 =16

We can make 16 dresses

Answer:

28.8

Step-by-step explanation:

Range = Highest number - Lowest number

Highest number: 42

Lowest number: 13.2

42 - 13.2 = 28.8

I hope this helps! :D

28.8 because the range is the biggest minus the smallest so 42 - 13.2

Answer:

C

Step-by-step explanation:

The triangle ABC has two sides that are 14 and 1 side that is 19. We can use Heron's formula to Calculate ABC.

s = (a + b + c)/2

s = (14 + 14 + 19)/2 = 23.5

s - a = 23.5 - 14 = 9.5

s - b = 23.5 - 14 = 9.5

s - c = 23.5 - 19 = 4.5

=================

Area = sqrt(s * (s - a) * (s - b) * (s - c) )

Area = sqrt(23.5 * 9.5 * 9.5 * 4.5)

Area = sqrt(9543,9)

Area = 97.69

But ABC is only 1/2 the rhombus. The area is twice that amount.

Area = 2 * 97.69 = 195.4

Answer

so it is answer B

Step-by-step explanation:

since the sample space is 10, the chance of selecting theyellow ball is 1/10

which is unliekly

B) unlikely

it’s a 10% chance to get a yellow ball and a 90% chance to get a red ball

Answer:

199 a 426 students

Step-by-step explanation:

first to see what amount we are talking about in each case, let's see how many students each percentage represents

22% of students:  (22 * ​​1420 students) /100  = 312.4 students

8% of students: (8*1420 students)/100 = 114.6 students

that is, that the average number of students who work part time is 312.4 students. And that number can vary up to 114.6 students above and up to 114.6 students below

that can be expressed as

22% + 8% = 312.4 + 113.6 = 426 students

and

22% -8% = 312.4-113.6 = 198.8≅ 199 students

Answer: his shoe size was 11

Step-by-step explanation:

Answer:

I hope this helps

Step-by-step explanation:

Answer:

[tex]f(x)=6.50x+48.00[/tex]

Step-by-step explanation:

Let

x ----> the number of adult tickets

f(x) ----> amount of money collected

To find the amount collected multiply the number of adult tickets by the cost and multiply the number of student tickets  by the cost, and then sum the two quantities

The linear equation that represent this problem is

[tex]f(x)=6.50x+4.00(12)[/tex]

[tex]f(x)=6.50x+48.00[/tex]

Answer:

Step-by-step explanation:

F(x)=6.50x+48.00

Answer:

45 mins

Step-by-step explanation:

The question is how much time should the painter spend on painting a doll for the costs to still be equal or lower to $24.50

We can make this equation, representing the raw materials + the painting job (at $18/h):

$11 + $18x = $24.50

18x = 13.50

x = 13.5 / 18 = 0.75

So, the painter should spend at most 3/4 of an hour (or 45 mins) painting a doll to keep the cost at or below $24.50 per doll.

Answer:

280

Step-by-step explanation:

<1=100 <4=150 <3=30

mADB=100+150+30=280

Answer with explanation:

Given

m∠1=100°

[tex]m \widehat{BC}=30 ^{\circ}[/tex]

To Find:---m∠A D B

Solution

In Δ A OD

Represent the center of circle by O.

→ m∠1=100°

→OD=O A----------Radii of Circle

→∠ADO=∠D A O--------If opposite sides are equal angle opposite to them are equal.

In ΔA OD, Using Angle Sum property of Triangle

→∠ADO+∠D A O+∠A OD=180°

→2 ∠ADO+100° =180°-------------------[∠ADO=∠D A O]

→2∠ADO=180° -100°

→2∠ADO=80°

Dividing both sides by , 2 we get

⇒∠ADO=40°

⇒⇒⇒∠A DB=40°

≡⇒If you are asking about

[tex]m \widehat{ADB}=180 ^{\circ}[/tex]

Because Angle in a semicircle is Right Angle.Diameter B D divides the circle into two equal arc measure of each arc being 180 degree.

⇒⇒If you are asking about Angle made by Major arc ADB, then

[tex]m \widehat{ADB}=\angle AOD + \widehat{BOD}\\\\=100 ^{\circ}+180 ^{\circ}=280 ^{\circ}[/tex]

Option B

[tex]\bf \begin{array}{llll} x+y=1&\times(-1)\implies &\begin{matrix} -x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~-y&=-1\\ x-y=-6&&\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~~~ -y&=-6\\ \cline{3-4}\\ &&~\hfill -2y&=-7 \end{array} \\\\\\ y=\cfrac{-7}{-2}\implies \blacktriangleright y=\cfrac{7}{2} \blacktriangleleft \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \stackrel{\textit{substituting on the 1st equation}}{x+\left( \cfrac{7}{2} \right)=1\implies x=1-\cfrac{7}{2}}\implies \blacktriangleright x=-\cfrac{5}{2} \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \left(-\frac{5}{2}~~,~~\frac{7}{2} \right)~\hfill[/tex]

The elimination method shows that the system of equations x + y = 1 and x - y = -6 has a single solution, which is the ordered pair (-5/2, 7/2).

To solve the system of equations x + y = 1 and x - y = -6 using the elimination method, we can add the two equations together to eliminate y. The resulting equation would be:

2x = -5

Dividing both sides by 2 gives us x = -5/2. We can then substitute the value of x back into either of the original equations to find y. Using the first equation x + y = 1:

-5/2 + y = 1

Adding 5/2 to both sides gives us y = 1 + 5/2, which simplifies to y = 7/2.

The solution set is therefore (-5/2, 7/2).

This system of equations has a single solution, so the correct answer is A, and the solution set is written as an ordered pair.

If the original price is X, then(1-29%)X=284, so X=284/(1-0.29)=400

The original price of the suit is $400.

To find the original price, we must multiply the discounted value with the reciprocal of the percentage that it represents.

The discounted price is $284.

The percentage of discount is 29%.

Therefore, the percentage which represents the price is 100 - 29 which is 71%.

Therefore, we can find the original cost by multiplying the discounted price by the reciprocal of 71/100. This can be done as shown below:

The original price = 284 * 100/71

= $400.

We have found the original price. The original price is found to be $400.

Therefore, we have found that the original price of the suit is $400.

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