1 point
1. Mr. Smith visited the park one sunny afternoon. He noticed that only
dogs and people were in the park that day. While he was resting on a park
bench, he observed that there were 15 heads and 50 legs in the park.
Which pair of system of equations can be used to determine the number
of dogs and the number of people in the park that day (use x = # of people;
y = # of dogs)?
x + y = 50: 2x + 4y = 15
x + y = 15, 4x + 2y = 50
X + y = 15:2x + 4y = 50
x + y = 50; 4x + 2y = 15

Answers

Answer 1

Answer:

x+y=15 ; 2x+4y=50

Step-by-step explanation:

Let x be the number of people

Let y be the number of dogs.

Equation regarding Total Heads:

Total number of heads = 15

As

1 person has 1 head

1 dog has 1 head

Total no. of heads of people = 1 * x = x

Total number of heads of dogs = 1*y = y

Equation becomes:

x+y=15

Equation regarding Total Legs:

Total number of legs = 50

As

1 person has 2 legs

1 dog has 4 legs

Total no. of legs of people = 2 * x = 2x

Total number of legs of dogs = 4*y = 4y

Equation becomes:

2x+4y=50


Related Questions

Simplify 7(x + 3). xxxxxxxxxxx

Answers

Answer:

[tex]7x+21[/tex]

Step-by-step explanation:

[tex]7(x + 3)[/tex]

[tex]7(x)+7(3)[/tex]

[tex]7x+21[/tex]

Answer:

7x + 21

Step-by-step explanation:

7 x X=7X

7 x 3=21

the math question is attached below
and please explain how you got the answer

Answers

Answer:

[tex]20\pi units^3[/tex]

Step-by-step explanation:

Answer:

V = 62.8 units³

Step-by-step explanation:

Once the area of a circle is:

[tex]A=\pi r^2[/tex]

The volume of a cylinder is:

[tex]V=\pi r^2 h[/tex]

where [tex]h[/tex] is the height of the cylinder.

Once, [tex]r=2 \text{ and } h=5[/tex]

[tex]V=3.14 \cdot 2^2 \cdot 5\\V=3.14 \cdot 20\\V=62.8 \text{ units cubed}[/tex]

What is the solution to this equation?
3(4x+6) = 9x + 12
O A. x= -2
B. X=-10
O c. x= 2
O D. x= 10

Answers

Answer:

I think it's A) x= - 2

Hope this helps..

The solution of the equation is,

⇒ x = - 2

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ 3 (4x + 6) = 9x + 12

Now,

Solve the equation as;

⇒ 3 (4x + 6) = 9x + 12

⇒ 12x + 18 = 9x + 12

⇒ 12x - 9x = 12 - 18

⇒ 3x = - 6

⇒ x = - 6/3

⇒ x = - 2

Learn more about the mathematical expression visit:

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Need some help

Take a look at the screenshot

The answer is not y= -1 + 9

Answers

Answer:

y = - x +9

Step-by-step explanation:

slope = (9-0)/(0-9) = - 1

line equation : y= mx + c

find c : 9= - 1*0 +c ....... >> c = 9

y = - x +9 ans

Answer:

y=-x+9

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-0)/((0-9))

m=9/(0-9)

m=9/-9

m=-1

y=mx+c

y=-1*x+c

y=-x+c

plug in (9,0) into the equation

0=-1*9+c

0=-9+c

-c=-9

c=9

y=-x+9

you wrote it correctly too, but I think the problem is that it only takes -x not -1x

The ordered pair below is a solution to which equation?
(40,5)

Answers

Answer: A

Step-by-step explanation:

WILL GIVE BRAINLIEST

Answers

Answer:

10/3

Step-by-step explanation:

6 length is 2 height.

So 10(6+4) length is 10/3 height

Answer:

x = 10/3

Step-by-step explanation:

These two triangles are similar by AA similarity, as they share angle A, and both have right angles.

Not we can set up a ratio:

6/(6+4) = 2/x

6/10 = 2/x

3/5 = 2/x

Multiply both sides by 5x,

3x = 10

Divide both sides by 3:

x = 10/3

URGENT!!!! What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x - 2)?

Answers

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

[tex]1.5(x + 4) - 3 = 4.5(x - 2)[/tex]

[tex]1.5x+6-3=4.5x-9[/tex]

[tex]1.5x+3=4.5x-9[/tex]

[tex]3+9=4.5x-1.5x[/tex]

[tex]12=3x[/tex]

[tex]x=4[/tex]

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

[tex]1.5(x + 4) - 3 = 4.5(x - 2) \\ 1.5x + 6 - 3 =4.5x - 9 \\ 6 - 3 + 9 = 4.5x - 1.5x \\ 12 = 3x \\ \frac{12}{3} = \frac{3x}{3} \\ x = 4[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Slope of the line that passes through (2,1) and (8,4), please!

Answers

Answer:

Slope is 1/2

Step-by-step explanation:

Slope Formula: [tex]\frac{y_{1}-y_{2}}{x_{1}-x_{2}} \\[/tex]

Plug in points: [tex]\frac{4-1}{8-2} =\frac{3}{6}=\frac{1}{2}[/tex]

Find the volume of the pyramid.

Answers

Answer:

V=5

12tan(54°)ha2=5

12·tan(54°)·4·152≈516.14322

Step-by-step explanation:

Thanks me later

Hope this helps!!!

which expression is equivalent to 3^4 x 3^x

Answers

Answer:

81, x⋅ 3x is your correct answer!

Keith is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
Company A charges $120 and allows unlimited mileage.
Company B has an initial fee of $75 and charges an additional $0.90 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.

Answers

Answer: m>50

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The amount charged by company A (120) must be less (<) than the fixed amount charged by company B (75), plus the product of the cost per mile driven (0.90) and the number of miles driven (m).

120 < 75+ 0.90m

Solving for m:

120-75<0.90m

45<0.90m

45/0.90 <m

50<m

Company A charges less than Company B when m > 50.

Feel free to ask for more if needed or if you did not understand something.

2 Points
Choose the number below that represents the digit in the tens place of the
number 184
A. 8

B. 4

C. 1

D. 10

Answers

The answer is A because 4 is obviously ones than after ones is tens and 8 is in that place , Hope this little explanation helps

12
Find the area of the shaded reagion.
5 in​

Answers

the answer is B. hope that helps

I need help with question 3 so if you can take a little bit of your time to help that will be great :)

Answers

part A equals 5

part B equals 1/2 and 1 hour

part C equals you just have to add all the times together where the dots are

Given ΔMNO, find the measure of ∠MNO. A.28° B.38° C.52° D.76°

Answers

Answer:

The answer is 28! meaning A.If you need help understanding how I got the answer please let me know and I will gladly explain how I got the answer:)

\frac{(2_1-4_{2}) ^{4} } {2}

I will give you brainliest

Answers

Answer:

I think the answer is 8

Step-by-step explanation:

What is the probability a King is chosen? Express your answer as a fraction, in simplest form.
A(1/52
B(1/13
C(1/4
D(4/13

Answers

Answer:

1/13

Step-by-step explanation:

In a deck of 52 cards, there are 4 kings

P(king) = number of kings / total cards

P (king) = 4/52

             = 1/13

Please help me with this. 5 star to the best.

Answers

Answer:

141.37 cm^3

Step-by-step explanation:

The volume of the hemisphere is 56.55 and the volume of the cone is 84.82. add them

Please help me answer this question.

Answers

Answer: 5 miles

Step-by-step explanation:

Which of the trigonometric expressions represent an inverse function?

Answers

Answer:

the second one:

tan-1(xdegree)

Step-by-step explanation:

Solve the following equation by using the multiplicative inverse. MUST SHOW WORK
5/6x = - 10

Answers

Answer:

5/6x = -10

=> 5/6x = -10/1

by cross multiplication

=> 6x × - 10 = 5 × 1

=> 6x = 5 × 1 / -10

=> 6x = 1/-2

=> x = 1/-2 ×6

=> x = 1/-12

3.) Calculate the volume of the rectangular prism shown.​

Answers

Answer:

162

Step-by-step explanation:

V = LWH

L = 3

W = 6

H = 9

3 * 6 * 9 = 162

Any one know this pls explain how u figured it out

Answers

Answer:

x=236

Step-by-step explanation:

44+80+x=360

x=solve it

Zeke goes to a skate shop with his friend Tristan. Tristan buys a helmet that costs $28.75. Zeke finds a helmet that is [tex]\frac{3}{5}[/tex] of the cost of Tristan's helmet. If Zeke gives the cashier a $20 bill, how much change will he receive.

Answers

Answer: $2.75

Step-by-step explanation:

Zeke's helmet cost 3/5 x 28.75 = 17.25

Change = 20 - 17.25 = 2.75

Answer:

2.75

Step-by-step explanation:

Classify the real number.
-8
[mark all correct answers]
nts
a. Rational
b. Integers
c. Whole
d. Natural
e. Irrational
72

Answers

Answer:

a,c

Step-by-step explanation:

Describe the graph of y+3x^2 and compare it with the graph of y=x^2

Answers

Answer:

y = 3x^2 is compressed by 3.

As y = x^2 is the parent graph, you can see how big a difference 3 makes.

Hope this helps!

(Red: y = 3x^2)

(Blue: y = x^2)

The transformation for the given function is vertical compression or stretch.

The given functions are y=3x² and y=x².

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The graph for the given functions can be determined as follows

To find the transformation, compare the expression to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Horizontal Shift: None

Vertical Shift: None

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: Compressed

Therefore, the transformation for the given function is vertical compression or stretch.

To learn more about the function visit:

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Simplify the following expression:

2x − 2y + 5z − 2x − y + 3z

x − 3y + 8z
2x − 2y + 8z
3y + 8z
−3y + 8z

Answers

Answer:

-3y+8z

Step-by-step explanation:

Here we want to combine all the like terms together to simplify the expression:

2x-2y+5z-2x-y+3z=\\ 2x-2x-2y-y+5z+3z=\\ -3y+8z

Answer:

a

Step-by-step explanation:

Help asap plz, shhdhdhdhshdhdn

Answers

Answer:

x=30°

Step-by-step explanation:

Angles 4x and 2x are supplementary, so 4x+2x must be equal to 180°.

Therefore, to solve this problem, we must use the equation, "4x+2x=180°.

4x+2x=180

6x=180

x=30°

I hope this helps.

3) $1,470 at 5% compounded
semiannually for 4 years

Answers

Answer:

29400

Step-by-step explanation:

Im pretty sure

Plz help i will mark u brainiest

Answers

Answer:

Step-by-step explanation:

Well, first of all the shape needs to be a rectangle not a square. And i think you do not understand how coordinates work.

The coordinate (-1, 4). The first number -1 is the number on the x-axis, 4 is the number on the y-axis. Same thing with the other coordinate.

After you put down the two dots, you know that the Perimeter is 24 cm.

P = 2(a + b) = 24 => a+b = 12 => a = 4 => b = 8

The sides are 4 and 8 units long.

Hope this Helps))) ^‿^

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