Stephen has a dog that weighs 5 times as much as lan's dog.
The total weight of both dogs is 72 pounds. How much does
Stephen's dog weigh?
Draw a diagram to find the weight of Stephen's dog.

Answers

Answer 1

Answer:

60 pounds

Step-by-step explanation:

5(5 times)*12(weight of lans dog)=60+12=72

Answer 2

Answer:

57.6

Step-by-step explanation:

72/5 = 14.4

72-14.4=57.6

I checked the answer by:

57.6+14.4=72


Related Questions

Hey, can someone help me with this question?

Answers

Step-by-step explanation:

A = P(1 + r)^t

£5263.73 = £4000(1 + 0.01x)^7

(1 + 0.01x)^7 = 1.3159325

1 + 0.01x = 1.04

0.01x = 0.04

x = 4.

The value of x is 4.

what ratio language to describe the relationship of any two things you can think of

Answers

Answer:

The recipe called for 3 cups of flour and 4 cups of sugar. That means there are 3/4 cups of flour for each cup of sugar.

She drove 60 miles in 3hrs. This means she drove 60/3 = 20 miles per hr.

Step-by-step explanation:

How do I work this out

Answers

Answer:

37

Step-by-step explanation:

all angles on a straight line add up to 180.

180-144=36.

180-73=106

106+36=142.

180-142 is 37

hope this helps!

What is the depth of the soup ( the area shaded) 20cm is the diameter?

Answers

Answer:

8 cm

Step-by-step explanation:

Given that , the diameter of the semicircle is 20 cm . And the angle made by the level of liquid and the diameter is 37°. For diagram kindly refer to attachment .Let the depth of the liquid be represented by h . Now from the figure , ( attached ) :-

⇒ cos 37° = AB / AC

⇒ cos 37° = AB / 20 cm

⇒ 4/5 = AB / 20 cm .

⇒ AB = 4/5 * 20 cm .

AB = 16 cm .

Now , again AOB is s semicircle and AB is diameter , And the radius will be half of diameter .Hence here h = r = 16cm/2 = 8 cm .

Hence the depth of the soup is 8 cm .

Sally made 17 bundles of 10 straws. How many straws did she made in all?

Answers

Answer:

170 straws

Step-by-step explanation:

10x17 is 170, so she made 170 straws

Answer:

The answer is 70 because 17x10=170

Barbara bought a new mango tree and planted it in her backyard. She drew the table below to show the growth of her new tree

Based on the table, Barbaras tree is growing at the rate of what per year?

A 122.3 cm per year

B 2.3 cm per year

C 2 cm per year

D 1.2 cm per year

Answers

Answer:

2.3 cm per year

Step-by-step explanation:

Answer:

2.3 cm

Step-by-step explanation:

Megan is taking the bus from New York City to Montreal. The distance is 380 miles and the bus travels at a steady rate of 76 miles per hour. How long will the bus ride be?

Answers

Answer: 5 hours

Step-by-step explanation: 380/76

The bus will take 5 hours to reach Montreal from New York.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Distance between Montreal to New York = 380 miles

Speed of bus = 76 miles per hour

76 miles ⇒ 1 hour

1 mile ⇒ 1/76  hour

Multiply by 380 on both sides

380 miles ⇒ 380/76 hours = 5 hours.

Hence "The bus will take 5 hours to reach Montreal from New York".

For more information about ratio and proportion,

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Which equation can be used to determine the number of movie tickets sold if the cost of each ticket x was $5.50, and $6,850 was earned on the ticket sales?

Answers

Answer:

5.50x = 6,850

Step-by-step explanation:

Each ticket costs $5.50, and the total is $6,850.

Hope this helps! :)

what is the solution set represented by this number line graph​

Answers

Answer:

x ≥ 2

Step-by-step explanation:

The dot is shaded on the point positive 2 and the arrow is going right so its x ≥ 2.

Please answer !!
12x - 18y + 24

Answers

6 (2x + 3y-4z)

Step by step explanation:

6 (2x + 3y-4z)

im prob wrong-


What is the congruence method you will use to show that the triangles are congruent?

A) SSS
B) SAS
C) ASA
D) AAS

Answers

The answer would be SSS or Side-Side-Side.
A. SSS because congruent means all sides are the same

Find the solution of the system of equations shown on the graph​

Answers

Answer:

(-2, 4)

Step-by-step explanation:

The solution to the systems of equations shown on the graph is the point at which the lines of both equations intersect each other.

The solution is (-2, 4). That is, for both lines, when x = -2, y = 4.

An animal shelter provides a bowl with 1.25 liters of water for 5 cats.


About how much water will be left after the cats drink their average daily amount of water?


Water Consumption

Animal Average Amount

(Liters per day)

Canada Goose 0.24

Cat 0.15

Mink 0.10

Opossum 0.30

Bald Eagle 0.16



liter(s) of water will be left after the cats drink their average daily amount of water.

Answers

Answer:

.50 left

Step-by-step explanation:

You have to multiply .15 times 5, then get that and subtract that number by 1.25, but do not worry about the decimal just add that in later, and the answer is .50

algebra 2!! please help im begging. i don’t understand this at all. thank you!

Answers

Answer:

Step-by-step explanation:

so the square root of 6 is the multipyed number of 8 plus 2 divided by9 is to times 8 plus 6

The side lengths of a triangle are 5, 8, and 12. Is this a right triangle?
O A. No, because 52 + 32 + 122.
OB. No, because 5+ 8 + 12.
C. Yes, because 52 + 82 = 122.
O D. Yes, because 52 + 82 < 122

Answers

Answer:

A) No...

Step-by-step explanation:

We can check if this triangle is a right triangle by using the Pythagorean Theorem.

a² + b² = c² where a and b are the legs of the right triangle, and c is the hypotenuse (longest side)

Using 5 for a, 8 for b, and 12 for c, let's see if this satisfies the equation:

5² + 8² = 12²

Simplify.

25 + 64 = 144 89 = 144

We can see that 89 ≠ 144, so this leaves us with answer choices A and B. I think you meant to write < for the last + sign.

Seeing as the sum of the two lengths of the triangle is greater than the third side length, this creates a normal triangle. This cannot be the correct answer choice since this only satisfies the requirements for a triangle, but not a right triangle.

This leaves us with answer choice A.  52 + 32 ≠ 122 and 52 + 32 < 122. (I'm not sure why the squares of the side lengths are not used, but this should be the correct answer.)

Multiply the polynomials: (x – 4)(x2 + 2x – 5)

Question 16 options:

A)

x3 + 6x2+ 3x – 20

B)

x3 + 6x2 + 3x + 20

C)

x3 – 2x2 – 13x – 20

D)

x3 – 2x2 – 13x + 20
Question 17 (5 points)
Subtract: (4x3 + 9xy + 8y) – (3x3 + 5xy – 8y)
Question 17 options:

A)

7x3 + 14xy

B)

x3 + 4xy

C)

7x3 + 14xy + 16y

D)

x3 + 4xy + 16y
Question 18 (5 points)
What are the real solutions to the equation 5x2 + 29x + 20 = 0?
Question 18 options:

A)

x = –5, x = 4∕5

B)

x = –4∕5, x = 5

C)

x = 4∕5, x = 5

Answers

Step-by-step explanation:

Hey there!

Given;

[tex] = (x - 4)( {x}^{2} + 2x - 5)[/tex]

[tex] = x( {x}^{2} + 2x - 5) - 4( {x}^{2} + 2x - 5)[/tex]

[tex] = {x}^{3} + 2 {x}^{2} - 5x - 4 {x}^{2} - 8x + 20[/tex]

[tex] = {x}^{3} - 2 {x}^{2} - 13x + 20[/tex]

Therefore, Option D is correct answer.

Q.no.

Given;

[tex] =( 4 {x}^{3} + 9xy + 8y) - (3 {x}^{3} + 5xy - 8y)[/tex]

[tex] = 4 {x}^{3} + 9xy + 8y - 3 {x}^{3} - 5xy + 8y[/tex]

[tex] = {x}^{3} + 4xy + 16y[/tex]

Therefore, answer is Option D.

Qno.

Given;

[tex]5 {x}^{2} + 29x + 20 = 0[/tex]

[tex]5 {x}^{2} + (25 + 4)x + 20 = 0[/tex]

[tex]5 {x}^{2} + 25x + 4x + 20 = 0[/tex]

[tex]5x(x + 5) + 4(x + 5) = 0[/tex]

(5x + 4)(x + 5) =0

Either (5x+4)= 0,

5x = -4

X = -4/5

Or, X+5 = 0

X = -5.

Therefore, X= -5, -4/5.

Hope it helps....

how do you find the quadratic equation to a graph like this

Answers

Answer:

b²-4ac=0

Step-by-step explanation:

x=-b+0/2a

so,x=-b/2a

Find the slope of the line that passes through each pair of points. (8, 10) and (-7, 14)​

Answers

Answer: -4/15

Step-by-step explanation:

The equation of a slope is: [tex]y_{1} - y_{2}/x_{1} - x_{2}[/tex]

You can basically use the y and x values of the both of these equations interchangeably (10-14) or (14-10)  and you can get the same answer. However, the order you put in the y values, the x values must follow (if you do (14-10) for the y portion, then the x portion has to be (-7-8))

You just plug in the y values on the top, the x values on the bottom and solve!

1) Plug in your values (10-(14)/8-(-7))

2) Open up your parentheses (10-14/8+7)

3) Solve -4/15

These problems are mostly plugging in stuff so if you know the equation by heart, it becomes super easy :D

10(2+ x + 3) simplify the expression

Answers

The simplified equation is 10x + 20

One by one, without spaces, Ivan wrote the numbers from 1 to 100. Which digit is in the 100th place?​

Answers

yes you are correct need points

Pizza Paradise offers 4 types of crust, 10 toppings, and 8 kinds of cheese for the mega calzone. How many different mega calzones can be made if a mega calzone contains 3 different toppings and 3 different cheeses

Answers

Answer:

26880 ways

Step-by-step explanation:

Given

[tex]Crust = 4[/tex]

[tex]Toppings = 10[/tex]

[tex]Cheese = 8[/tex]

Required

Determine the number of ways 3 toppings and 3 cheese can be selected

The number of crusts to be selected was not stated. So, I'll assume 1 crust to be selected from 4.

This can be done in [tex]^4C_1[/tex] ways

For the toppings:

3 can be selected from 10 in [tex]^{10}C_3[/tex] ways

For the cheeses:

3 can be selected from 8 in [tex]^{8}C_3[/tex] ways

Total number of selection is:

[tex]Total = ^4C_1 * ^{10}C_3 * ^{8}C_3[/tex]

Apply combination formula:

[tex]Total = \frac{4!}{(4-1)!1!} * \frac{10!}{(10-3)!3!} * \frac{8!}{(8-3)!3!}[/tex]

[tex]Total = \frac{4!}{3!1!} * \frac{10!}{7!3!} * \frac{8!}{5!3!}[/tex]

[tex]Total = \frac{4*3!}{3!*1} * \frac{10*9*8*7!}{7!*3*2*1} * \frac{8*7*6*5!}{5!*3*2*1}[/tex]

[tex]Total = \frac{4}{1} * \frac{10*9*8}{3*2*1} * \frac{8*7*6}{3*2*1}[/tex]

[tex]Total = 4 * \frac{720}{6} * \frac{336}{6}[/tex]

[tex]Total = 4 * 120* 56[/tex]

[tex]Total = 26880[/tex]

Hence, there are 26880 ways

Wich quadrilaterals always have consecutive angles that are supplementary

Answers

Answer:

PARALLELOGRAMS (rectangles, squares, and rhombi): 1) Opposite sides of a parallelogram are congruent. 2) Opposite angles of a parallelogram are congruent. 3) Consecutive angles in a parallelogram are supplementary.

Step-by-step explanation:

The quadrilaterals which have supplementary consecutive angles are called; Parallelogram.

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

The quadrilaterals which have supplementary consecutive angles are called Parallelogram.

A parallelogram is a kind of quadrilateral which has two parallel sides on each opposite sides which are equal and the opposite angles in a parallelogram are also equal.

The consecutive angles of a parallelogram are supplementary refers that the sum of the consecutive angles in a parallelogram is equal to 180 degrees. The total sum of all the angles in a parallelogram is 360 degrees as it is a quadrilateral.

Learn more about parallelogram;

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SOLVE FOR X. pls i need help

Answers

X=8
Set up proportions would give you: 10/3x+1 = 22/7x-1
With that in mind, cross multiply, which would give you: 10(7x-1) = 22(3x+1).
Turns into: 70x -10 = 66x+22. Then just solve for x


In the isosceles trapezoid shown, GJ = 5 and Hi = 9. Determine the length of the
midsegment of the trapezoid.
A) 9
B) 7
C) 5
D)14

Answers

Answer:

The answer to the question provided is 7.

Answer:

b

Step-by-step explanation:

Solve for “z.”

Please help!

Answers

Answer: Z=5

Step-by-step explanation:

Solve the rational equation by combining expression and isolating the variable z

what is the best estimate for the length off a car?
5 meters
5 kilometers
5 milimeters
5 centimeters

Answers

Answer:

5 meters

Step-by-step explanation:

Answer:

5 meters

Step-by-step explanation:

;)

PLEASE help me. thank you

Answers

Answer:

Each paper weight is half a pound

Step-by-step explanation:

convert 60mph to feet per minute

Answers

ummmmmmmmmmmmmmmmmmmmmm

18.) Which expression is equivalent to -6x + 7.5?
A. -3(2x - 2.5) B. -3(2x + 2.5) C. -3(2x - 7.5)
D.-3(2x + 7.5)

Answers

Answer:

D

hope this helped:)

2 planes leave the airport at the same time. their speeds are 140 mph and 170 mph and the angle between their courses is 25 degrees. how far apart are they after 2.5 hours

Answers

Answer:

183.27miles

Step-by-step explanation:

Note that we are considering two planes.

Plane 1

Speed = 140 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

140 mph = distance/2.5hrs

Distance = 140×2.5

= 350miles

Plane 2

Speed = 170 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

170 mph = distance/2.5hrs

Distance = 170×2.5

= 425miles

The angle between side is 25 degree

From cosine rule

c^2 = a^2 + b^2 − 2abcos(tetha)

Where a = 350

b = 425miles

c^2 = 350^2+425^2-2(350×425)(cos25)

c^2 = 122500+180625-297500(0.906)

c^2 = 303125-269535

c^2 = 33590

C = √33590

C = 183.27miles

The distance they flew apart after 2.5hrs is 183.27miles

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