There are several vehicles in a parking lot. Some of them are motorcycles
(with 2 wheels), and some are cars (with 4 wheels). There are 10 vehicles in
the lot, and there are 32 wheels. How many vehicles of each type are in the
lot?

Answers

Answer 1

Answer:

There are four motorcycles and six cars.

Step-by-step explanation:

Let m represent the number of motorcycles and c represent the number of cars.

Since there are ten vehicles in total, the sum of the number of motorcycles and the number of cars must total ten. Hence:

[tex]m+c=10[/tex]

And since each motorcycle has two wheels and each car has four wheels and there are 32 wheels in total:

[tex]2m+4c=32[/tex]

Solve the system of equations. First, we can divide the second equation by two:

[tex]m+2c=16[/tex]

From the first equation, we can subtract c from both sides:

[tex]m=10-c[/tex]

Substitute:

[tex](10-c)+2c=16[/tex]

Simplify:

[tex]10+c=16[/tex]

Therefore:

[tex]c=6[/tex]

There are six cars.

Using the modified equation:

[tex]m=10-c[/tex]

Solve for m:

[tex]m=10-(6)=4[/tex]

So, there are four motorcycles and six cars.


Related Questions

If x = -3 and y = 4x - 1, then y equals what number

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{y = 4x - 1}[/tex]

[tex]\large\text{If x= -3, then substitute it into the given equation}[/tex]

[tex]\large\textsf{y = 4(-3) - 1}[/tex]

[tex]\large\textsf{4(-3) = \boxed{\bf -12}}[/tex]

[tex]\large\textsf{y = -12 - 1}[/tex]

[tex]\large\textsf{-12 - 1 = y}[/tex]

[tex]\large\textsf{-12 - 1 = \boxed{\bf -13}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf y = -13}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Problem:

If x = -3 and y = 4x - 1, then y equals what number?

[tex] \quad \quad \quad \quad\tt{y = 4x - 1}[/tex]

[tex] \quad \quad \quad \quad\tt{y = 4( - 3) - 1}[/tex]

[tex] \quad \quad \quad \quad\tt{y = (- 12)- 1}[/tex]

[tex] \quad \quad \quad \quad\tt{y = - 13}[/tex]

Hence, The value of y is:

[tex] \quad \quad \quad \quad \boxed{\tt \color{green}{y = - 13}}[/tex]

______

#LetsStudy

PLEASE HELP ASAPPP!!!! THE ANSWER WILL BE A PERCENTAGE.
Suppose you are asked to pick 4 numbers from 1 to 25 to win a prize. What is the probability that one of the numbers you will pick is the winning number?

Answers

Answer:

each number you pick has a 1 in 25 chance

this equates to a 4% chance of winning for each individual ball

Each number has a 1/20 chance of being the winner.
You pick 3 numbers, so you have three times the chance of having the winning number.

3 * 1/20 = 3/20 = 0.15

The probability you have the winning number is 0.15.

Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.) Radius 7 and center (2, −4)

Answers

Let's start by writing the equation of a circle.

(x - h)² + (y - k)² = r²

The center of the circle is (h, k), and the radius, r, is 4 so

we can simply plug these values into the formula.

So we have [(x) - (2)]² + [(y) - (-4)]² =  (7)².

Notice that I changed the parenthses that were in the original formula

to brackets so that we wouldn't have too many sets of parenthses

when plugging our values into the formula.

Finally, we simplify inside the brackets.

So we have (x - 2)² + (y + 4)² = 49.

Now, I changed the brackets back to parenthses in the final answer.

gold that is 24 karat is 100% pure gold. gold that is 14 karat is 14 parts pure gold and 10 parts another metal, such as copper,zinc,silver, or nickel. What percent of 14 karat gold if pure gold.

help im confused

Answers

It would be 58.3%

100% is 14+10=24

14 divided by 24 = 0.583
Move decimal over to the right twice is 58.3%

find the missing side of the triangle

Answers

Using the Pythagorean theorem where:
b^2 = c^2 - a^2
Let x be the value for b.
x^2 = 13.7^2 - 5.2^2
= 187.69 - 27.04
=√160.65
= 12.67

Hence x = 12.67

It costs Beverly $0.50 to produce each bracelet she makes. She sells each bracelet for $20, plus three times the production cost per bracelet. Which equation below shows the amount Beverly charges, C, per bracelet, b?

Answers

Answer:

(0.5b+20b)*3b=c

Step-by-step explanation:

The requried equation that shows the amount Beverly charges per bracelet is C = 21.5b

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

The amount Beverly charges, C, per bracelet, b, is given by:

C = 20 + 3(0.5)

C = 20 + 1.5

C = 21.5

So the equation that shows the amount Beverly charges per bracelet is:

C = 21.5b

Learn more about models here:
https://brainly.com/question/22591166
#SPJ3

The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million and a standard
deviation of $2 million. A baseball analyst randomly selects 40 athletes and records the mean salary. What is the shape
of the distribution of the sample mean for all possible random samples of size 40 from this population?
skewed left
skewed right
approximately Normal
approximately uniform

Answers

Answer:

approximately Normal with a mean of 3.2 million and a standard deviation of 0.32 million

Step-by-step explanation:

For normal distribution conditions

1) Sample size is greater than 30

2) Population standard deviation is known

3) population is normal distributed

Above any condition given problem if satisfied than it's distribution will approximately normal.

n = 40 > 30

Sample size(n) greater than 30 and population standard deviation is known.

So the distribution will approximately be normal

Hope this helps!

The shape  of the distribution of the sample mean for all possible random samples of size 40 from this population is approximately Normal

The following any or all conditions should be there for normal distribution:

The Sample size is more than 30 .Population standard deviation is known .The Population is normal distributed

Now  

n = 40 > 30

Here  

Sample size(n) more than 30 and population standard deviation is known.

Learn more: brainly.com/question/17429689

This one says (cos) , help it’s timed ! Take me through the process !

Answers

Answer:

4/5 is ur answer

Step-by-step explanation:

ok just like the last one but this one is COS

ok so we know that COS is A/H

A= adjacent and ofc H= hypotenuse

so lets see its the COS of a which means it will be A/H

A= 4 and the H=5

which is the graph of g(x)

Answers

Answer:

The 1st graph is the answer and matches

-x/2 + 2   -2  ≤ x < 2 because it is equal to -2

The 4th graph is incorrect slightly at = 2x - 3   x  ≥ 2

as  the graph is descending and shows x = -1/2 as the gradient 4/-2 = -1/2

m = -1/2 would be the equation.

Therefore 2 (-1/2) = -1 and  -1 - 3 = -4 and 4 is not  greater than 2 so is wrong/.

Step-by-step explanation:

If y varies directly as x and y = 24 when x = -3, find the constant of variation k
and then determine y when x = 12.

Answers

Answer:

I. k = -8

II. y = -96

Step-by-step explanation:

Given the mathematical expression and data;

y = 24

x = -3

y = kx (y varies directly as x).

To find the constant of proportionality k;

y = kx

Substituting the values into the expression, we have;

24 = k(-3)

24 = -3k

k = -24/3

k = -8

Next, to find the value of y when x = 12

y = kx

Substituting the values, we have;

y = -8 * 12

y = -96

Find the surface area of the regular pyramid.

Answers

Answer:

B

Step-by-step explanation:

Base area = side^2 = 3^2 = 9 m^2

Base perimeter = side x 4 = 3 x 4 = 12 m

LA = (base perimeter x slant height)/2 = (12 x 5)/2 = 30 m

SA = base area + LA = 9 + 30 = 39 m^2

The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by factoring.

What is the constant of the quadratic expression in this equation?

x2 + x +
= 0

Answers

Answer:

-420

Step-by-step explanation:

let the two consecutive integers be

x and (x + 1)

The product of two consecutive integers is 420

x(x + 1) = 420

Distribute

x² + x = 420

Subtract 420 from both sides

x² + x - 420 = 0

The constant is

-420

PLEASE HELP! WILL MARK BRAINLIEST!

Answers

Answer:

at first put the value of X

after that do the equation.

Step-by-step explanation:

hope it will help you

Answer:

a = 2

Step-by-step explanation:

substitute x with the number 5.

5+8a=25+5a-7a

subtract 5a from both sides

5+3a=25-7a

add 7a to both sides

5+10a = 25

subtract 5 from both sides

10a=20

divide both sides by 10

a = 2

Type SSS, SAS, ASA, SAA, or HL to
justify why the two larger triangles are
congruent.

Answers

Answer:

ASA

Step-by-step explanation:

The two small angles which are the base angles of the small triangle in the middle are marked as equal.

The two large angles of the two triangles are also marked as conguent.

The base of the small triangle in the middle is common to both the larger triangles by the reflexive property (a line is always equal to itself). The line is between two sets of congruent angles. Therefore the two large triangles are congruent by ASA

Answer:  ASA

Explanation:

It might help to peel the triangles apart as I have done so below.

We have two pairs of congruent angles, as shown by the distinct angle markers. Between the congruent angles, we have a pair of congruent sides.

The side (S) is between the angles (A), which is why we use ASA.

Note: SAA is slightly different where the congruent sides are not between the congruent angles.

A rectangular prism has a base area of 2 square feet and a height of 5 feet. What
is the volume of the prism in cubic feet?
10
15
12
11
Submit

Answers

11 cubic feet is the answer

why is the growth factor 0.9?

Answers

Answer:

Actual growth of population - Birth - Death + In migration - Out Migration. ...

According to my calculation the answer is :I just need points to pass summer school please don’t report help me out and leave a like

In science class sara needed 8 test tubes for 3 different experiments. The first experiment required 2 test tubes and the other two experiments required the same number of test tubes. How many test tubes were needed for each of the the other two experiments

Answers

Answer:

as we know Sara need 8 tube in 3 experiment

she will use 2 tube in 1 experiment

now she have 6 tube in other experiments

so the question said to find how many tube were used in both experiment equally so 3,3 test tube were needed for each of the other two experiment

Step-by-step explanation:

total tube=8 (3 experiment)

used =2tube (1 experiment)

remaining=8-2=6

now ,

dividing 6 into 2 equal part

so,=6/2=3

so 3 tube were used in 2nd experiment and 3in 3rd experiment

Find the area of each triangle.

Answers

Answer:

4.) A = 1/2 bh

1/2 x 3 x 6

= 9in

A card is drawn randomly from a standard 52 card deck. Find the probability of drawing the given card. NO LINKS!!!!

Answers

Answers:

Problem 7)  1/26Problem 8)  1/13Problem 9)  10/13Problem 10)  1/2Problem 11)  11/13Problem 12)  3/13

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

Explanations:

Problem 7)

There are 2 red aces (hearts, diamonds) out of 52 cards total, so 2/52 = 1/26 is the probability of picking a red ace.

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

Problem 8)

There are 4 kings out of 52 cards total, so 4/52 = 1/13 are the odds of picking a king.

This is the same as say focusing on one suit (eg: clubs) and finding the probability of pulling out a king.

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

Problem 9)

There are 3 face cards per suit (Jack, Queen, King) so 3*4 = 12 face cards in all. The odds of picking a face card are 12/52 = 3/13. That makes 10/13 the odds of not picking a face card, since 3/13+10/13 = 1.

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

Problem 10)

The answer is 1/2 because half of the cards are red.

You could say 26/52 = 1/2 since there are 26 red cards out of 52 cards total.

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

Problem 11)

There are 4 copies of '2' and 4 copies of '3', so there are 4+4 = 8 cards we want to avoid. The probability of picking either of them is 8/52 = 2/13. The odds of not picking any of these cards is 11/13  (refer to problem 9).

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

Problem 12)

We have 4 copies each of '7', '8' and '9'

That gives 4*3 = 12 cards total we want to pick.

So 12/52 = 3/13 is the answer.

I need help please I don’t know this

Answers

Answer:

B.I (x) and h (x) are inverse function

B

Answer for brainlest plssss

Answers

The answer is in the photo

Answer:

[tex] \displaystyle d) 36 \: {in}^{2} [/tex]

Step-by-step explanation:

the polygon can be separated in two parts

rectangletriangle

let's figure out the area of the rectangle

recall that,

[tex] \displaystyle A_{ \rm rect} =l \times w[/tex]

given that,

l=9w=3

thus substitute:

[tex] \displaystyle A_{ \rm rect} =9\times 3[/tex]

simplify multiplication:

[tex] \displaystyle A_{ \rm rect} =27[/tex]

let's figure out the area of the triangle

remember that,

[tex] \displaystyle A_{ \rm triangle} = \frac{1}{2} \times b\times h[/tex]

substitute the value of b and h:

[tex] \displaystyle A_{ \rm triangle} = \frac{1}{2} \times 9\times 2[/tex]

reduce fraction:

[tex] \displaystyle A_{ \rm triangle} = 9[/tex]

now the area of the polygon would be the total area of the rectangle and triangle thus

[tex] \displaystyle A_{ \rm polygon} = 27 + 9[/tex]

simplify addition:

[tex] \displaystyle A_{ \rm polygon} = 36[/tex]

hence our answer is D)

Teresa is playing a video game. She earns 10 points when she completes Level 1. Each time she completes a level, she earns three times as many points as the previous level.

How many points will Teresa earn when she completes Level 7?

Enter your answer in the box.

Answers

Answer: 7290

Step-by-step explanation:

Three times is asking you to multiply the points before them by three. Level one, as we know is 10. Then, to get level two's points, you would multiply 10 by 3, to get 30, & so on.

Level One:10

Level Two: 10x3=30

Level Three: 30x3=90

Level Four: 90x3=270

Level Five: 270x3=810

Level Six: 810x3=2430

Level Seven: 2430x3= 7290

*** If you are still confused, comment on this question, & I will be happy to walk you through the whole question. ***

Answer:

7290 :)

Step-by-step explanation:

Took the quiz.

A positive real number is 1 more than another. When -2 times the smaller is added to the square of the larger, the result is 33. Find the numbers.

Answers

Answer:

The smaller number is 4√2 and the larger number is (4√2 + 1).

Step-by-step explanation:

Let the two numbers be x and y, where y is the larger of the two numbers.

Since y is the larger number, it is one more than the smaller number. So:

[tex]y=x+1[/tex]

When negative two times the smaller is added to the square of the larger, the result is 33. In other words:

[tex]-2x+y^2=33[/tex]

Substitute:

[tex]-2x+(x+1)^2=33[/tex]

Solve for x. Square:

[tex]-2x+(x^2+2x+1)=33[/tex]

Simplify:

[tex]x^2+1=33[/tex]

Subtract one from both sides:

[tex]x^2=32[/tex]

And take the square root of both sides:

[tex]x=\pm\sqrt{32}=\pm 4\sqrt{2}[/tex]

Since y is positive, we can ignore the negative case. So, the smaller number is:

[tex]x=4\sqrt{2}\approx5.66[/tex]

And the larger number is:

[tex]y = 4\sqrt{2} + 1 \approx6.66[/tex]

Please help me!!! WILL MARK BRAINLIEST AND THANK

Answers

Answer:

2 is the same as 4

Step-by-step explanation:

HELP ME PLEASEEEEEEEEEEEE

Answers

Answer:

x=in5

Step-by-step explanation:

Mariana baked 14 cakes. She gave 1/7 of them to her family before she took the rest to a party. How many cakes did Mariana give to her family?

Answers

Answer:

2

Step-by-step explanation:

14·[tex]\frac{1}{7}[/tex]=2

Answer:

2

Step-by-step explanation: 1/7th's of 14 is 2.

1/7 x 14 = 2.

5. x – 6 translate into mathematical words

Answers

Answer: 6 fewer than a number

100 POINTS!!!!!!!!!!!!!!!!!

Answers

Answer:

A = 0.25*j + 1

Step-by-step explanation:

The question presented here is an application of linear models. The $1 amount is fixed and does not depend on any factor such as the cups of orange juice sold.

Furthermore, we are informed that we earn $0.25 for every cup of orange juice sold. This means that we shall earn 0.25 j by selling  j cups of orange juice.

The variable total amount, A will thus depend on the fixed amount of $1 and the variable income 0.25 j.

The equation in two variables that will represent the total amount A (in dollars) you have after selling j cups of orange juice will thus be;

A = 0.25*j + 1

Hope this helped.....

Answer:

5 points huh thats mean

Step-by-step explanation:

I need help please asp !!!!

Answers

The shape will be a rectangle
The answer is Rectangle

Write an equation for a line perpendicular to y=3x+1 and passing through the point (6,2)

Answers

Answer:

[tex]y = -\frac{1}{3}x + 4[/tex]

Step-by-step explanation:

Required

Equation of line

passes through [tex](6,2)[/tex]

In an equation of the form [tex]y =mx + b[/tex]; the slope is [tex]m[/tex]

So, by comparison;

The slope of [tex]y = 3x + 1[/tex] is: [tex]m =3[/tex]

From the question, we understand that the required equation is perpendicular to [tex]y = 3x + 1[/tex]

This means that its slope is:

[tex]m_2 =-\frac{1}{m}[/tex]

So, we have:

[tex]m_2 =-\frac{1}{3}[/tex]

The line equation is:

[tex]y = m_2(x - x_1) + y_1[/tex]

Where:

[tex](x_1,y_1) = (6,2)[/tex]

So, we have:

[tex]y = -\frac{1}{3}(x - 6) + 2[/tex]

[tex]y = -\frac{1}{3}x + 2 + 2[/tex]

[tex]y = -\frac{1}{3}x + 4[/tex]

Other Questions
can someone please help me with this question... thank u Help. Please show work. Will mark Brainliest!!!! Our atmosphere acts like a blanket trapping heat and keeping Earth at a habitable temperature, its this retaining of heat that is referred to as the Greenhouse Effect. The greenhouse effect is caused by greenhouse gases that trap heat from the sun, the more greenhouse gases there are the more heat is retained HOW IT WORKSThe heat from the sun (solar radiation) has a very short wavelength and this can pass easily through the layer of greenhouse gases. This wavelength is called Ultraviolet radiation. As the UV rays strike the Earth, the Earth redirects the rays back into the atmosphere. We feel this as heat. The heat from the earth (terrestrial radiation) has a longer wavelength (infrared) some of this becomes trapped by the layer of greenhouse gases. GREENHOUSE GASESWater vapor (H20) is the most prevalent greenhouse gas and occurs naturally. Some greenhouse gases are both natural and man-made including carbon dioxide (CO2) & methane (CH4). Describe the size of insolation when it strikes the Earth.What would happen if there were no greenhouse gases to trap heat? Delta Company produces a single product. The cost of producing and selling a single unit of this product at the companys normal activity level of 86,400 units per year is: Direct materials $ 2.40 Direct labor $ 2.00 Variable manufacturing overhead $ 0.90 Fixed manufacturing overhead $ 3.75 Variable selling and administrative expenses $ 1.40 Fixed selling and administrative expenses $ 1.00 The normal selling price is $22.00 per unit. The companys capacity is 106,800 units per year. An order has been received from a mail-order house for 1,700 units at a special price of $19.00 per unit. This order would not affect regular sales or the companys total fixed costs. Required: 1. What is the financial advantage (disadvantage) of accepting the special order? 2. As a separate matter from the special order, assume the companys inventory includes 1,000 units of this product that were produced last year and that are inferior to the current model. The units must be sold through regular channels at reduced prices. The company does not expect the selling of these inferior units to have any effect on the sales of its current model. What unit cost is relevant for establishing a minimum selling price for the inferior units? Who created the assembly line?A. Henry Ford B. Lee lacoccaC. Bill GatesD. Cornelius Vanderbilt Which of the following is NOT a safety precaution that should be practiced at home? A new car is purchased for 23700 dollars. The value of the car depreciates at13% per year. To the nearest year, how long will it be until the value of the caris 8000 dollars? Muhammad was born in Pakistan to Pakistani parents. He is now anAmerican citizen. Which category best describes his citizenship status? Help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee Explain how to convert a mass of compound A to a mass of compound D in words using the following reaction: 2A + 4B = C + 3DYou don't have to just give me the answer but if you can help me understand id appreciate it greatly Read both of the poems and then answer the questions below:Dust of Snowby Robert FrostThe way a crowShook down on meThe dust of snowFrom a hemlock treeHas given my heartA change of moodAnd saved some partOf a day I had rued.Soft Snowby William BlakeI walked abroad in a snowy day;I asked the soft snow with me to play;She played and she melted in all her prime,And the winter called it a dreadful crime. Define tone. Then compare or contrast the tone in the poems above. Describe both Frost's tone and Blake's tone. Do you see similarities in their attitudes toward snow? Differences? Write a well-developed paragraph using examples from the poems. Compare or contrast the form of the two poems above. Remember that the form of poetry includes the rhythm, meter, rhyme scheme, and any poetic devices. What do you notice about the form of each poem? How does the form of each poem affect the reader? Write a well-developed paragraph using examples from the poems. i kinda need help on this (2a divided by 7) - (a-4) How to solve for this? Need help ASAP Create a conditional expression that evaluates to string "negative" if userVal is less than 0, and "non-negative" otherwise. Ex: If userVal is -9, output is:-9 is negative. PLEASE USE C++ When the pH of a solution is changed from 4 to 3, the hydronium ion concentration of thesolutionA)increases by a factor of 10B)decreases by a factor of 100C)increases by a factor of 100D)decreases by a factor of 10 Help is needed please What is the translation shown in the graph? Which of these is an example of a prosthesis?A. A hearing aidB. A textbookC. GlovesD. A pair of boots What is the volume of three cubes, each with a side length of fraction 1 over 3 foot? V = s3, where s is the side length. fraction 1 over 3 ft3 fraction 1 over 2 ft3 fraction 1 over 9 ft3 fraction 1 over 27 f