Diane looked out the window in the store parking lot and said, “There are 13 motorcycles and cars in the lot.” Steve looked out the window and said, “I see 42 wheels.”

Question: How many motorcycles and how many cars are in the parking lot?

Answers

Answer 1

Answer:

There are 5 motorcycles and 8 cars in the parking lot.

Step-by-step explanation:

Set variables X to represent the number of cars and Y to represent the number of motorcycles. You will get the following equations:

X + Y = 13 (Total number of motorcycles and cars)

4X + 2Y = 42 (Total number of wheels)

Combine the two equations together and solve for Y and X

4(13 - Y) + 2Y = 42 note: X = 13 - Y

52 - 4Y + 2Y = 42

-2Y = -10

Y = 5

X + 5 = 13

X = 8


Related Questions

A rectangular path 60m and 3m is covered with square tiles of 25 cm. How many tiles wil be used to cover the path ?

Answers

Answer:

2880 tiles

Step-by-step explanation:

A rectangular path has dimensions 60 m and 3 m.

Area of a rectangular path = length × breadth = 60 × 3 = 180 [tex]m^2[/tex]

Use [tex]1\,m^2=10000\,cm^2[/tex]

So,

Area of a rectangular path = 180(10000) = 18,00,000 [tex]cm^2[/tex]

Side of a square tile = 25 cm

Area of a square tile = side × side = 25(25) = 625 [tex]cm^2[/tex]

Number of square tiles = Area of a rectangular path ÷ Area of a square tile

= [tex]\frac{1800000}{625} =2880[/tex] tiles

The congruence theorem that can be used to
prove ABAE = ACAD is
SSS.
O ASA.
SAS.
HL.
what is the answer?

Answers

Answer:

The answer is HL which is option D.

Step-by-step explanation:

Congruent shapes have equal corresponding sides and angles.

The congruence theorem that can be used to prove  is HL

[tex]\triangle BAE \cong \triangle CAD[/tex] means that, the triangles are congruent.

From the figure, we have the following congruent sides

AB and AC --- SideAE and AD --- SideBE and CE --- Side (Hypotenuse Leg)

The above highlights mean that the theorem can be used to prove that the triangles are congruent is HL.

This is so, because the hypotenuse of both triangles are equal.

Read more about congruent triangles at:

https://brainly.com/question/11329400

Write the equation 9 = -5x + 4 in the form ax + b = c, where c = 9.
What are the values of a and b?

Answers

Answer:

a = - 5x and b= 4

Step-by-step explanation:

So it becomes - 5x +4=9

Hope this helps pls tell if any mistakes

Answer:

dil bende ingilizce göründüğü için anlamıyoruuumm

algebra 1 Solve number 10 !!!

Answers

Answer:

0.06x + 0.15y = 69.84

x = (69.84 - 0.15y) / 0.06

y = (69.84 - 0.06x) / 0.15

x + y = 852

((69.84 - 0.15y) / 0.06) + y = 852

y = ?

(I'm not trying to give you the answer but guide you how to do it)

Joan measures the mass of a solid metal object. It has a mass of 102.0 g. She also measures the volume of that object and the object has a volume of q 027 mL a)

What is the density of the metal object?
What metal could it be made Of?

Answers

Step-by-step explanation:

P=m/v

P=102,0 ÷027

P=3,77 that is the density

It is made of copper

8/9i+12=2/9i+34 (solve for i)

Answers

Answer: I=33

Step-by-step explanation: hope this help

A local hamburger shop sold a combined total of 376 hamburger and cheeseburgers on Sunday. There were 74 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?

Answers

Answer:

82

Step-by-step explanation:

let X = the number of hamburgers sold

let Y = the number of cheeseburgers sold  a combined total of 328 were sold

so: X + Y = 328

cheeseburgers = 3 times the number of hamburgers sold  

so: Y = 3X

substitute 3X into the equation for Y

X + 3X = 328

4X = 328

divide both sides by 4 to get the variable X by itself

X = 82

so: 82 hamburgers were sold Friday

Answer:

There were 225 hamburgers sold on Sunday.

Step-by-step explanation:

2h - 74 = 376

h = hamburgers

2h - 74 + 74 = 376 + 74

2h = 450

2h/2 = 450/2

h = 225

Check.

hamburgers + cheeseburgers = total number of burgers

225 + (225 - 74)

225 + 151 = 376

Adeel and shayan are given money in the ratio 4:5 if adeel has RS 1179 after the adjustment, how much did he have in the original share out

Answers

Answer:

$2652.75

Step-by-step explanation:

Let b represent the original amount shared out

The equation representing how much adeel received is

4/9 x b = RS 1179

To find b, divided both sides by 9/4

b = $2652.75

Please help.
Is Algebra.

Answers

Answer:

5. 2, 6. 18

Step-by-step explanation:

8-?= 6, ? = 2

?-11 = 7, ? = 18

in an assignment and need help with this question

Answers

8 8/3 is 29.3
hope this is correct

The price have changed from $120 to $75. By how many
percent did it change?
Plz show how you did it

Answers

Answer:

35.7%

Step-by-step explanation:

The change is 45 dollars. (120-75)

The percent of change is the dollars divided by the original price.

45/120=0.357

Or 35.7%

Answer:

35.7

Step-by-step explanation:

Steps for -3(x+2)=4+2x

Answers

Answer:

x = -2

Step-by-step explanation:

-3(x + 2) = 4 + 2x

= -3x + -6 = 4 + 2x  (Distribution: -3)

= -3x + -2x - 6 = 4  (Moving the variables to the left and change the signs)

=  -3x + -2x = 4 + 6 (Move consatnts to the right and change signs)

= -3x - 2x = + 6  --> (Collect like terms)

= -5x = 10 (Then add)

= (divide -5x = 10 by -5)

= x = 2

-4x(5x +1)
this needs to be written in polynomials​

Answers

Answer:

-20x^2-4x

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7.

9a + 12b + 2a
Help please !

Answers

Answer:

11a+12b

Step-by-step explanation:

9a+12b+2a=11a+12b

Simplify the following expression 2n+6+4y-8

Answers

2n + 4y -2. The only thing we can do is combine 6 and -8.

i really need help wit this pleasee help and show work pleasee

Answers

Answer:

4000π cm^2

Step-by-step explanation:

first we change the 1.6m to cm:

1.6m = 160cm

Now we can use the formula:

V = πr^2h

where π is just π, r is the radius (not the diameter) and h is the height

V = π * 5^2 * 160 = 4000π cm

Answer:

Step-by-step explanation:

[tex]\text{They give you the equation for the volume.}\\ \\ V=\pi r^2h\\ \\ \text{You simply need to plug in the values given to you for r and h.}\\ \\ r=10/2=5cm,\ h=1.6m(100cm/m)=160cm\\ \\

V=\pi 5^2(160)\\ \\ V=160(25)\pi\\ \\ V=4000\pi cm^3\\ \\ V\approx 12566.37 cm^3[/tex]

5/7=12/y solve for y.

Answers

I believe the answer is 84/5

Answer:

Step-by-step explanation:

5/7 = 12/y

5y = 84

y = 84/5

Mark has $500 in his savings account. If he saves $25 each month, how many months will it take him to have $1000.

Answers

Answer: 20, I believe

Step-by-step explanation: You already have 500 which is half of 1000. 500 divided by 25 equals 20.

explain the arrangements of the atoms, I already have the first part done​

Answers

Step-by-step explanation:

The ongoing arrangement of metal atoms in a three-dimensional regular ordered pattern is known in chemistry as a lattice structure. A simple model of an atom is a central atomic nucleus with electrons arranged in shells at different distances from the nucleus.


What is the measure of arc FG?
PLEASE HELP , i’ll make BRAINLIEST

Answers

The measure of arc FG could be 108
The correct answer is 103 degrees (180-77) Since there is a line exactly in the half of the circle and we know that one portion is 77° so the remaining portion must be the difference of a half circle which is 180° minus the 77°.

Which of the following expressions are equivalent to 4 + 36x

Please answer and dont take my points bc i am in a hurry
A
4(1) + 4(36x)

B
4(1 + 36x)

C
2(1) + 4(9x) + 4

D
4(1 + 9x)

Answers

Answer:

The answer would be D.

Answer:

The answer is D 4(1 + 9x) or C depending on what school website you use.

Step-by-step explanation:

help????????????????????​

Answers

Answer:

x=11

Step-by-step explanation:

12x+2 and 2x+112 are opposite exterior angles so they are congruent

Answer:

x=11

Step-by-step explanation:

12x + 2 and 2x + 112 are vertical angles meaning that they are equal to each other so we set up an equation that says 12x + 2 = 2x + 112 and solve for x

12x+2=2x+112

step one subtract 2 from each side

12x=2x+112

step 2 subtract 2x From each side

10x=110

step three divide each side by 10

x=11

Complete the sentence.

Answers

Answer:

50 more

Step-by-step explanation:

Answer:

50 more than............

Find the missing point of the following parallelogram.
A (6, 5)
B (5, 3)
C (2, 4)
D (7, 5)

Answers

i’m pretty sure it’s B

I just took the test and the right answer is 6,5

ILL GIVE BRAINLIEST PLS HELP ME

Answers

Answer:

1 and 4 come in yes and 2 and 3 come into no mark as brainliest

1, 4 = yes
2,3 = no
hope i helped !

Find the distance between

Answers

Answer:

4,3

Step-by-step explanation:

Edunuity sucks;-;

hi-

That answer equals 5

guys please tell me the all questions brifley it's very important for me ​

Answers

Answer:

3.a) 8  b) -28  c) √21  d) 2

4.a) 27  b) 25  c) √3 + √24  d) -4

Step-by-step explanation:

3. a) 3+5=7                                4. a) 7(3)-3(-2)

b) 4(-4-1)+2(-4)                                 21+6

4(-5)-8                                               27

-20-8                                               b) 5*(3(3)+2(-2))

-28                                                       5*(9-4)

c) √2(3)^2+3                                         5*(5)

√2(9)+3                                                  25

√18+3                                               c) √3 + √2(3)(-2)^2

√21                                                       √3 + √2(3)(4)

d) (-4+3)(8/-4)                                         √3 + √24

(-1)(8/-4)                                              d) (4/-2) + (3/3)

2                                                        Find the LCM of 2 and 3

                                                          3(4/-2) + 2(3/3)

                                                               -6 + 2

                                                                  -4  

Hope this helps.

cómo resuelvo estás ecuaciones
6×-5y=-3
3×+2y=12​

Answers

Answer:

Y vale 3 x vale 2 ponme

Step-by-step explanation:

(100 POINTS!!!) PLEASE HELP ME!!! FIRST TO ANSWER WILL GET BRAINLIEST! 14:40 LEFT!

Answers

Answer:

the third one

Step-by-step explanation:

Answer:

that would be c

Step-by-step explanation:

A pole that is 2.5 m tall casts a shadow that is 1.34 m long. At the same time, a nearby building casts a shadow that is 46.5 m long. How tall is the building? Round to the nearest meter

Answers

Answer:

86.8 m long

Step-by-step explanation:

A pole that is 2.5 m tall casts a shadow that is 1.34 m long. At the same time, a nearby building casts a shadow that is 46.5 m long. How tall is the building? Round to the nearest meter

We solve the above question using the Proportion formula:

Height of the pole/Shadow of the pole = Height of the building /Shadow of the building

Height of the pole = 2.5m

Shadow of the pole = 1.34 m

Height of the building = x

Shadow of the building = 46.5m

Hence:

2.5m/1.34m = x/46.5m

Cross Multiply

1.34m × x = 2.5m × 46.5m

x = 2.5m × 46.5m/1.34m

x = 86.753731343m

Approximately , The height of the building = 86.8 m

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