Retro Rides is a club for owners of vintage cars and motorcycles. Every year the club gets together for a ride. This year, 38 vehicles participated in the ride. The total number of tires of all the vehicles was 114. Assuming each car has 4 tires and each motorcycle has 2 tires, how many each of cars and motorcycles participated in the ride? A. 16 cars; 22 motorcycles B. 23 cars; 15 motorcycles C. 19 cars; 19 motorcycles D. 21 cars; 17 motorcycles

Answer:

The estimated area is [tex]416\frac{13}{16}\ ft^{2}[/tex]

Step-by-step explanation:

we know that

To estimate the area that Ivan will paint , calculate the area of one wall and then multiply by 3

step 1

Convert the dimensions to an improper fractions

[tex]9\frac{3}{4}\ ft=\frac{9*4+3}{4}=\frac{39}{4}\ ft[/tex]

[tex]14\frac{1}{4}\ ft=\frac{14*4+1}{4}=\frac{57}{4}\ ft[/tex]

step 2

Find the area of one wall

[tex](\frac{39}{4})*(\frac{57}{4})=\frac{2,223}{16}\ ft^{2}[/tex]

step 3

Multiply the area of one wall by 3

[tex](3)*\frac{2,223}{16}=\frac{6,669}{16}\ ft^{2}[/tex]

step 4

Convert to mixed number

[tex]\frac{6,669}{16}=\frac{6,656}{16}+\frac{13}{16}=416\frac{13}{16}\ ft^{2}[/tex]

Answer: 3(10 x 14)

Step-by-step explanation: it said in the question or it's more like a hint: "Ivan needs to estimate the total area" and "estimated area in square feet that Ivan will paint?" those are hints to multiple then numbers kinda like adding but adding more into it.

Sorry if it didn't make sense but 3(10 x 14) is what I got in my information which I had written on a paper to figure out what the answer was to the question!

Have a wonderful day! God loves you.

Answer:

x = 200

y = 100

Step-by-step explanation:

20x + 30y = 7000       Divide by 10

15x + 35y = 6500       Divide by 5

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

It helps if you break down both equations to something simpler. It looks like not always.

(2x + 3y = 700)              Multiply by 3            

(3x + 7y = 1300)             Multiply by 2

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

6x + 9y = 2100

6x + 14y =2600              Subtract

-5y = - 500                     Divide by -5

-5y/-5 = -500/-5

y = 100

2x + 3y = 700                  substitute y = 100

2x+ 3*100 = 700              Combine

2x + 300 = 700                 Subtract 300 from both sides.

2x = 700 - 300

2x = 400

x = 400/2

x = 200

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

Hockey check

15x + 35y = 6500

15*200 + 35*100 = 6500

3000 + 3500 = 6500      Just as it should.  

Answer: 300 seats

Step-by-step explanation:

Easy!

20x + 30y = 7000

15x + 35y = 6500

Simplify by division of a common factor:

5(4x + 6y = 1400)

5(3x + 7x = 1300)

Choose an equation to solve for a variable and use substitution:

4x = 1400 - 6y

x = 350 - 3/2y

3(350 - 3/2y) + 7y = 1300

1050 - 9/2y + 7y = 1300

5/2y = 250

y = 100

Now substitute the solution in both equations to see if it works:

20x + 30(10) = 7000

20x + 3000 = 7000

20x = 4000

2x = 400

x = 200

Now for the other equation:

15x + 35(100) = 6500

15x + 3500 = 6500

15x = 3000

x = 200

Now add x to y, as the total number of seats is equal to x + y.

x + y = total number of seats.

200 + 100 = 300

Therefore, there must be 300 seats in total.

Robbin made more over the weekend

Answer- z is equal to -5

[tex]\bold{Hey\ there!} \\ \bold{Simply\ both\ sides\ of\ your\ equation\downarrow} \\ \bold{2z+(-4z)+(-18)=-8} \\ \bold{Now, \ you \ have\ to \underline{Combine\ your\ like\ terms}\downarrow} \\ \bold{\bullet \ 2z\ \& \ -4z}\\ \\ \bold{2z+(-4z)=-2z}\\ \bold{-2z-18=-8}\\ \bold{Nextly,\ you\ have\ to\ \underline{add}\ by\ 18\ on\ your\ sides\downarrow} \\ \bold{-2z-18+18=-8+18} \\ \bold{Cancel:-18+18} \\ \bold{Keep:-8+18} \\ \bold{\underline{Divide}\ by\ -2\ on\ your\ sides\downarrow}\\ \bold{\frac{-2z}{-2}}[/tex] [tex]\bold{= \frac{10}{-2}} \\ \bold{Cancel: \frac{-2z}{-2}} \\ \bold{Keep:\frac{10}{-2}} \\ \\ \boxed{\boxed{\bold{Answer: z=-5}}}\checkmark \\ \\ \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!}\\ \\ \frak{LoveYourselfFirst:)}[/tex]

Answer:

The nth term is [tex]a_n=4n-21[/tex]

Step-by-step explanation:

The given arithmetic sequence is -17, -13, -9, -5, ...

The first term of this sequence is [tex]a_1=-17[/tex].

The common difference can be found using any two consecutive terms.

The common difference is [tex]d=-5--9=4[/tex]

The nth term of arithmetic sequence is given by the formula:

[tex]a_n=a_1+d(n-1)[/tex]

We plug in the values to obtain:

[tex]a_n=-17+4(n-1)[/tex]

Expand

[tex]a_n=-17+4n-4[/tex]

Simplify:

[tex]a_n=4n-21[/tex]

I wrote zones but then noticed that we actually don't need :p

The answer is "a reflection in the y-axis"

Hope it helps!

Answer:

it's B

Step-by-step explanation:

USE The venn diagram

11 said they own both devices so it will be in the middle

34 said they owned at least a phone

34-11 =23

Answer:

its graph b for plato

Step-by-step explanation:

The answer is B.

There are about 391,000 of plants currently known to science.

Hope this helps.

The answer is B. There are more than 300,000 plant species

Answer: yes

Step-by-step explanation:

If you round, then $9 will round up to $10 and 52 will round down to 50. Then, you multiply 10 and 50, which equals 500, so it is a reasonable guess.

I tried, hope it helps!

Answer:

B: (9, 1)

Step-by-step explanation:

The mid point is (5, 3).  Compare the x and y values to point A: (1,5)  

We can see that the 'x' coordinate is 4 units higher than point A, so the x value for point B will be 4 points higher than the x value of the mid point.  

             5 + 4 = 9

We can see that the 'y' coordinate is 2 units less than point A, so the y value for point B will be 2 points less than the y value of the  mid point.  

            3 - 2 = 1

Answer:

B coordinate is  ( 9 ,1).

Step-by-step explanation:

Given  : The midpoint of segment AB is (5, 3). The coordinates of point A are (1, 5).

To find : Find the coordinates of point B.

Solution : We have given

Midpoint of segment AB = (5, 3).

The coordinates of point A =  (1, 5).

Mid point : [tex]\frac{(x_{1}+x_{2}}{2} ,\frac{(y_{1}+y_{2}}{2})[/tex].

On plugging the values.

(5,3) = [tex]+\frac{1+x_{2}}{2} ,\frac{(5+y_{2}}{2})[/tex].

Now on comparing x coordinates

[tex](\frac{(1+x_{2}}{2})[/tex] = 5

On multiplying both number by 2

1 +[tex]x_{2}[/tex] = 10.

On subtracting both sides by 1.

[tex]x_{2}[/tex] = 9

Now on comparing y coordinates

[tex]\frac{(5+y_{2}}{2})[/tex] = 3

On multiplying both number by 2

5 +[tex]y_{2}[/tex] = 6

On subtracting both sides by 5.

[tex]y_{2}[/tex] = 1

Then B coordinate is  ( 9 ,1).

Therefore,  B coordinate is  ( 9 ,1).

Therefore, B coordinate is  ( 9 ,1).

Answer:

1512 cm³

Step-by-step explanation:

l of larger block 2x bigger than smaller 1

= 2 × 9

= 18 cm

The breadth of the larger block is 2x bigger than the breadth for smaller 1

= 2 × 3

= 6 cm

Height of larger block is two times bigger than the smaller block

= 2 × 7

= 14 cm

Formula:

= 18 × 6 × 14

= 1512 cm³

Tada! :)

Answer:

x = 1

Step-by-step explanation:

distribute parenthesis on left side and simplify

4x - 2x + 6 = 8

2x + 6 = 8 ( subtract 6 from both sides )

2x = 2 ( divide both sides by 2 )

x = 1

Answer:

See the attachments.

A and B are the correct statements.

The volume of the given figure is: 126π cubic inches.

A volume is defined as a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the attached figure will be the sum of the volume of the cylinder and twice the volume of the hemisphere. Therefore, the volume will be:

Volume = Volume of cylinder + 2(Volume of hemisphere)

Volume = (π × R² × H) + 2[²/₃π×R³]

Volume = (π×3²×10) + 2[(2/3)×π×3³]

Volume = 90π +36π

Volume  = 126π in³

Read more about Volume of Composite Figure at: https://brainly.com/question/12693294

#SPJ1

Answer:

B or C

Step-by-step explanation:

Since the communitive property of multiplication states that A * B = B * A...

2n = n2.

2n is doubling n and /3 is dividing that number by 3.

Answer:

131.88 centimeters

Step-by-step explanation:

diameter = radius*2

radius = 21

circumference =2*π*r

2*3.14*21= 131.88 centimeters

Answer:

8.3 cm

Step-by-step explanation:

The equation 2πr is used to find circumference. To find the diameter, you will first need to find the radius, and in order to find the radius, you need to isolate "r" in the equation.

2πr = 26

Divide 2 for both sides.

πr = 13

Divide π (I am assuming π is 3.14) for both sides.

r = 4.140127389

Our radius is about 4.140127389. To find the diameter, multiply your radius by 2. This gives us 8.276057041, which rounds to 8.3 cm.

The use of gunpowder. Specifically military use, this helped fight wars and win wars because they were able to use the gunpowder. (Not 100% sure)

One important invention that was created in the Song dynasty was the invention of paper money.

Before paper money, people in China used metal and stone coins, which were bulky and could get really heavy at times. However, the paper money made it much easier to carry currency over long distances for trading without the large weight that metal coins had.

This invention affects the whole world today, as many countries have adopted the concept of paper money and still use it. Let me know if you need any clarifications or extra info, thanks!

~ Padoru

Answer:

[tex](x-4)^{2}+(y-4)^{2}=32[/tex]

Step-by-step explanation:

we know that

The equation if the circle into center radius form is equal to

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

where

(h,k) is the center of the circle

r is the radius

In this problem we have

[tex](h,k)=(4,4)[/tex]

Find the radius of the circle

we know that

The distance between the center and any point that lie on the circle is equal to the radius

Let

[tex]A(0,0),B(4,4)[/tex]

the formula to calculate the distance between two points is equal to

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

substitute the values

[tex]r=\sqrt{(4-0)^{2}+(4-0)^{2}}[/tex]

[tex]r=\sqrt{(4)^{2}+(4)^{2}}[/tex]

[tex]r=\sqrt{32}\ units[/tex]

substitute in the equation of the circle

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

[tex](x-4)^{2}+(y-4)^{2}=(\sqrt{32})^{2}[/tex]

[tex](x-4)^{2}+(y-4)^{2}=32[/tex]

Answer: 18 parent volunteers and 4 buses.

Step-by-step explanation: In order to solve this problem you must first calculate how many student will be going on the trip.

There are 8 classes of 20 students and 90% are attending, so the formula is 8 x 20 x .9 = 144 students are going.

Part A: If one parent needs to go for each 8 students you need to divide 144 by 8 = 18 parent volunteers.

Part B: The total people attending are 144 students, 18 parent volunteers and 4 teachers is a total 166 total attending to ride the bus. You need to divide 166 people by 44 on each bus = 166/44 = 3.7 buses, so they need to reserve 4 buses.

Answer:

8 roses, 7 lilies

Step-by-step explanation:

8 roses = 20$

7 lilies = 8.25$

Added together they equal 28.75 $

Answer:

-7

Step-by-step explanation:

To find f(-8), use the blue line labeled f(x) and go to -8 on the x axis and find its corresponding y value by moving vertically down from -8 to the blue line and find the y value of that point. You can see that the blue line hits (-8, -5) so the y value is -5 and f(-8) = -5.

Do the same thing for g(4) and you should find the red graph g(x) hits the point (4, 3). So g(4) = 3.

-1 * -5 - 4 * 3 = 5 - 12 = -7

Answer:

1/6

Step-by-step explanation:

2/12 simplified is 1/6

Answer:

1/6

Step-by-step explanation:

The fraction is the colored parts over the total number of parts

colored        2

----------- = -----------

total              12

This can be simplified by dividing the top and bottom by 2

2/2 =1

12/2 = 6

The fraction becomes 1/6

Answer:

A'(-5,3) A"(-2,5)

Step-by-step explanation:

First, reflecting across the x axis makes the points (x,-y).

So we get A prime = (-5,3)

Then, we add 3 to the x value and 2 to the y value to get A"

So A" = (-2,5)

Answer:

A. (-5,-3)

B. (-6,-1)

C. (-3,-1)

D. (-2,-3)

Answer:

Area = 3.897

Step-by-step explanation:

Remark

What you are subtly being told is the side of an equalateral triangle = P/n.

n = the number of sides

n = 3

P = 9

side = 9/3 = 3

The area of an equalateral triangle given 1 side is

Area = sqr(3)  * s^2  /4  

Area = 3.897

Check the three attached images.

The first exercise is quite self-explanatory. We have to draw two lines that pass through P and are tangent to the circle.

As for the second, since the circle is tangent to all three side of the triangle, we can conclude that the circle is inscribed in the triangle.

Finally, to draw the common tangent, you have to find the point of intersection between the two circles, and draw a line perpendicular to AB.

Answer:

Tamar

Step-by-step explanation:

Since we're rounding to the hundredths place, we need to see if the thousandths place is greater or equal to 5. Since it is less than 5, we round down to 72.63.

Answer: Tamar

Step-by-step explanation:

Since the number before the 3 is a 1, the number will stay the same and not be rounded up. If the number was 5 or above, it would be rounded up to a 4.

Answer:

Option d -  720/750 ≈ 0.96                    

Step-by-step explanation:

Given : Of 750 people surveyed, 330 were male and 640 had cell phones. Of those with cell phones, 390 were female.

To find : What is the probability that a person surveyed was either male or had a cell phone?

Solution :

Let M be the number of males i.e. M=330

Let C be the number of cell phones i.e C=640

Total number of people = 750

Of 750 people surveyed, 330 were male

The probability of male is

[tex]P(M)=\frac{330}{750}[/tex]

Of 750 people surveyed, 640 had cell phones

The probability of cell phones is

[tex]P(C)=\frac{640}{750}[/tex]

Of those with cell phones, 390 were female.

i.e. reaming were male so 640-390=250

So, Probability of male and cell phone is

[tex]P(M\cap C)=\frac{250}{750}[/tex]

We have to find, the probability that a person surveyed was either male or had a cell phone i.e. [tex]P(M\cup C)[/tex]

Using formula,

[tex]P(M\cup C)=P(M)+P(C)-P(M\cap C)[/tex]

Substitute the values,

[tex]P(M\cup C)=\frac{330}{750}+\frac{640}{750}-\frac{250}{750}[/tex]

[tex]P(M\cup C)=\frac{330+640-250}{750}[/tex]

[tex]P(M\cup C)=\frac{720}{750}[/tex]

[tex]P(M\cup C)=0.96[/tex]

Therefore, Option d is correct.