There are 5 times asmny yellow labs as terriers in the dog park. If there are a toal of 24 dogs,how many dogs are terriers? Complete the equation and solve.
24=

The dimensions of the rectangle are 4 ft by 5 ft.

Given that the length of a rectangle is 3 ft less than twice the width, and the area of the rectangle is 44 sq.ft. We have to find the dimensions of the rectangle. Let's consider the width of the rectangle as x ft.Length of the rectangle = (2x - 3) ftArea of the rectangle = Length x Width44 = (2x - 3) x x44 = 2x^2 - 3x44 = x (2x - 3)2x^2 - 3x - 44 = 0To solve for x, we will factorize the equation by splitting the middle term.2x^2 - 8x + 5x - 20 = 0Factorize2x(x - 4) + 5(x - 4) = 0(x - 4) (2x + 5) = 0x = 4 ft (since the width of a rectangle can't be negative)or 2x = -5This gives us an invalid value, so x = 4 ftNow that we have the width of the rectangle, we can calculate the length as follows:Length of the rectangle = (2x - 3) ftLength of the rectangle = (2 * 4) - 3Length of the rectangle = 8 - 3Length of the rectangle = 5 ft.

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The algebraic rule describes the translation of quadrilateral HIJK to quadrilateral H'I'J'K' is (x, y) => (x+1, y-8)

What in mathematics is a quadrilateral?

A quadrilateral, a two-dimensional shape, is made up of four sides, four vertices, and four angles. The most prevalent shapes are concave and convex. Also included in the list of convex quadrilateral subgroups are trapezoids, parallelograms, rectangles, rhombuses, and squares.

Given: quadrilateral HIJK to that translated H'I'J'K'

To determine the algebraic rule, we need to get the coordinates of  HIJK and H'I'J'K' and then subtract them to get the translation:

H => (x, y) = (4, 6)  |  H' => (x, y) = (5, -2)

I =>  (x, y) = (6, 4)   |  I' =>  (x, y) = (7, -4)

J => (x, y) = (4, 2)   |  J' => (x, y) = (5, -6)

K => (x, y) = (4, 2)  |   K' => (x, y) = (3, -6)

Using points H and H' (you can use any point):

The difference in x is 5-4 = +1 => x+1

The difference in y is -2-6 = -8 => y-8

Therefore, the algebraic rule describes the translation is (x, y) => (x+1, y-8). Option C is the answer

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The value of length DE is determined as 19.43 cm.

The value of length DE is calculated by applying sine rule of determining length and angle of a triangle.

angle CDE = angle BAC (alternate angles are equal)

sin D/CE = sin E/CD

sin 64 / 19 = sin E / 16

sin E = 16 x (sin 64 / 19)

sin E = 0.7569

E = sin⁻¹ (0.7569)

E = 49.2⁰

The value of length DE is calculated as follows;

angle C = 180 - (64⁰ + 49.2⁰) = 66.8⁰

sin C /DE = sin D/CE

sin (66.8) / DE = sin (64) / (19)

DE = 19 x sin(66.8) / sin (64)

DE = 19.43 cm

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Answer:

\(4m+20>50\)

Step-by-step explanation:

Let m represent the amount of months that has passed.

Paulo started out with 20 coins.

Each month, he adds four more coins to his collection.

Therefore, the amount of coins added after m months will be given by 4m.

So, the amount of coins Paulo has total after m months can be given by:

\(4m+20\)

We want to know when Paulo will have "more than" 50 coins in his collection. Therefore, we will use the "greater than" sign. Thus, our inequality will be:

\(4m+20>50\)

Answer:

(1,3)

Step-by-step explanation:

hope it's help ful

8

15

28

47

C.

х

0

2

4

6

8

Dosage (mg)

160

300

560

940

y

3

7

11

15

19

B.

0

10

20

30

50

D.

X

1

2

3

4

* lyears)

y diameter in Inches)

5

10

14

18

22.

30

y

90

150

210

270

330

9514 1404 393

Answer:

Step-by-step explanation:

Let s represent the number of sodas sold. Then the number of hot dogs sold is (s-50) and the total is ...

  s +(s -50) = 218

  2s = 268 . . . . . . . . . add 50

  s = 134 . . . . . . . divide by 2

134 sodas were sold; 84 hot dogs were sold.

We know that two vertical angles are equal.

\(108° \: = \: (12x \: + \: 24)°\)

\( - 12x \: = \: 24 \: - \: 108\)

\( - 12x \: = \: -84\)

\( \boxed{ \bold{x \: = \: 7°}}\)

We know that a complete angle measures 360°.

\(108° \: + \: 108° \: + \: z \: + \: z \: = \: 360°\)

\(216 \: + \: 2z \: = \: 360\)

\(2z \: = \: 360 \: - \: 216\)

\(2z \: = \: 144\)

\( \boxed{ \bold{z \: = \: 72°}}\)

Answer:

10 Gallons of water will weigh 1.2 pounds.

Step-by-step explanation:

Each gallon weighs 0.12 pounds, I got this answer from dividing 3 by 25 to see how much one gallon weighs. So if we multiply the weight of one gallon by 10, 0.12*10, then we will find out the weight of ten gallons.

I hope this helped you!! You can ask questions any question you may have, if needed, and I will answer them :)

10 Gallons of water will weigh 1.2 pounds.

Here, we have,

given that,

Morgan know that 3 gallons of water weigh 25 pounds.

now, we need to find how much do 10 gallons weigh.

so, we get,

3 gallons of water weigh 25 pounds.

so, to see how much one gallon weighs we divide 3 by 25 .

i.e. 3/25 = 0.12

Each gallon weighs 0.12 pounds,  

So if we multiply the weight of one gallon by 10,

i.e. 0.12*10, then we will find out the weight of ten gallons.

so, we get,

10 gallons weigh = 0.12*10 = 1.2 pounds.

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Answer:

B

Step-by-step explanation:

Answer:

What is the angle of rotation for this counterclockwise rotation about the origin?

answer:

270°

Step-by-step explanation:

Answer:

57 ounces

Step-by-step explanation:

He needs 28 oz of oil for every 44 cups. Multiply both to get 56 oz of oil for 88. Since there is one more cup of flour, you will need one more ounce of oil.

Answer:

7 schools have fewer than 50 classrooms.

Answer:

y is just x divided by 4 so in this case y would be 17.5

Step-by-step explanation:

Answer:

n=9

Step-by-step explanation:

You isolate the variable, so subtract 18. Then you divide both sides by -1/2, and you get n.

Answer: 85% because 1 dime = 10 cent. 10x8=80

80+5=85

85% of 100

Step-by-step explanation:

calculate the slope of these points

here, the pairs of option A and option C are lying on the same line.

By the substitution property of equality, ∠AOB ≅ ∠COD. Then the correct option is B.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Given: Line segment AC and line segment BD intersect at O.

Prove: ∠AOB ≅ ∠COD

By the supplementary angles property, the equations are given as,

∠AOB + ∠BOC = 180°            .....1

∠BOC + ∠COD = 180°            ....2

By the substitution property of equality, ∠AOB ≅ ∠COD. Then the correct option is B.

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Answer: By the congruent complements theorem

Step-by-step explanation: I took the test

so

number = a e^(kt)

2272 = 1800 e^(5k)

1.26222... = e^5k

ln 1.26222... = 5k

k = .04657.. <----- your hourly growth parameter

the instantaneous rate of growth is appr 4.657% per hour.

The benefit of obtaining a personal loan is getting large amounts of money to use immediately.

Option D is the correct answer.

A personal loan is a type of loan that individuals can take out from a bank, credit union, or online lender to cover personal expenses such as home improvements, medical bills, or other unexpected expenses.

We have,

The benefit of obtaining a personal loan can vary depending on the specific terms and conditions of the loan, but typically it allows individuals to borrow a larger amount of money upfront with a fixed interest rate and set repayment schedule, which can be beneficial for large expenses such as home renovations, debt consolidation, or major purchases.

However, the interest rates and repayment terms can vary depending on the borrower's credit score, income, and other factors, so it's important to compare options and choose a loan that meets one's specific needs and budget.

Thus,

The benefit of obtaining a personal loan is getting large amounts of money to use immediately.

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Answer:

0.00017% probability of winning this lottery with one​ ticket

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the balls are sorted is not important. So the combinations formula is used to solve this question.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

What is the probability of winning this lottery with one​ ticket?

Desired outcomes:

One set, so \(D = 1\)

Total outcomes:

Five numbers, from a set of 39. So

\(T = C_{39,5} = \frac{39!}{5!(39-5)!} = 575757\)

Probability:

\(p = \frac{D}{T} = \frac{1}{575757} = 0.0000017\)

0.00017% probability of winning this lottery with one​ ticket

Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

Answer:

Just wanted to say that i wish you good luck!

Step-by-step explanation:

Answer:

Rghufyughyyog9goc9gg

The solution of the equation (2w - 1) / 5 + w + 2 = 2w will be 3.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

(2w - 1) / 5 + w + 2 = 2w

Simplify the equation, then we have

(2w - 1) / 5 + w + 2 = 2w

(2w - 1) / 5 = w - 2

2w - 1 = 5w - 10

3w = 9

w = 3

The solution of the equation (2w - 1) / 5 + w + 2 = 2w will be 3.

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The complete question is given below.

Answer:

Step-by-step explanation:

You want to know which of the relations shown is a function.

The rule is pretty simple. A relation is a function if each element of the domain maps to exactly one range value.

If an element of the domain maps to two or more range values, the relation is not a function.

In the attachment, we have identified what you would look for to determine that the relation is not a function. The map of a function has one arrow from each domain value. The ordered pairs of a function have no repeated first-values.

Answer:

In 2022, the town's population is 2220.

Step-by-step explanation:

It currently the year 2022. Hence, 22 years have passed since 2000.

2022 − 2000 = 22

To solve for the town's population today, first multiply the years passed since 2000 by the percent decrease each year.

\(22 \, \textrm{years} \times \dfrac{3.2 \, \%}{\textrm{year}} = 70.4 \, \%\)

Then, subtract that percent of the population in 2000 from the population in 2000.

\(7500-(70.4 \,\% \cdot 7500)\)

\(= 7500 - 5280\)

\(=2220\)

Answer:

The answer is explained below

Step-by-step explanation:

We have a system that would be a cylindrical shell with a certain length. I will attach an allusive image, they ask us to determine which would be the most suitable system of coordinates:

Most suitable surface is cylindrical annular for this annular 30 disk most suitable coordinate system would be Cylindrical Coordinate System as one at coordinate "z" remains constant and that would be advantageous