8.75 divided by 6.5

The rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

From the question, we have the following parameters that can be used in our computation:

John drove from here to San Antonio which is 180 miles away in 3 hours.

This means that

Distance = 180 miles

Time = 3 hours

Using the above as a guide, we have the following:

Speed = Distance/Time

Substitute the known values in the above equation, so, we have the following representation

Speed = 180/3

Evaluate

Speed = 60

Hence. the rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

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Answer:A

Step-by-step explanation:

Good luck on the exam!

Step-by-step explanation:

Given that,

The side of a square field = 70 m

The dimensions of a rectangular field with length 90m and breadth 60m.

The distance covered by the person on square field is given by :

P = 4×side

= 4×70

= 140 m

The distance covered by the person on a rectangular field is given by :

P = 2(l+b)

= 2(90+60)

= 2×150

= 300 m

Hence, a person will cover more distance in the rectangular field.

The expanded form of the expression is 10 + 9 + 0.3 + 0.00 + 0.005

He runs the 100 meters dash in 19.305 seconds.

Therefore, the seconds he runs the race can be represented in expanded form as follows:

Expanded form is a way to write a number by adding the value of its digits.

We can use a place value chart to think of the value of a number's digits.

Therefore,

19.305 in expanded form is as follows:

19.305 = 10 + 9 + 0.3 + 0.00 + 0.005

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Answer: (i) 10% (ii) 60% (iii) 40%

Step-by-step explanation:

(i)  Newar language = 65%

  Gurung language = 45%

Total covers = 110 but to sum it up to base that is 100% then 110-100 is 10.

so, 10% of people speak both the language.

(ii) people who speak only Newari only would be 60% as 5% among them speak Gurung language.

(iii) people who speak only Gurung only would be 40% as 5% among them speak Newari language.

The value of function at x= -4 is f(-4) = -24.

We have the function,

f(x) = 3x² - 6x

Now, to find f(-4), we substitute -4 for x in the given function f(x) = -3x² - 6x:

f(-4) = -3(-4)² - 6(-4)

= -3(16) + 24

= -48 + 24

= -24

Therefore, the value of function at x= -4 is f(-4) = -24.

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Chay can use 3 bags of mulch per flower bed.

Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.

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The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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Complete Question

The complete question is shown on the first uploaded image

Answer:

The number of color are possible  \(\left n} \atop }} \right. C _r = 1215450\)

Step-by-step explanation:

From the question we are told that  

   The number of  colors is  r = 4

    The sample size n =  75

The number of color that are possible can be mathematically evaluated as

       \(\left n} \atop }} \right. C _r = \frac{n !}{ (n-r)! r!}\)

substituting values

         \(\left n} \atop }} \right. C _r = \frac{75 !}{ (75-4)! 4!}\)

       \(\left n} \atop }} \right. C _r = \frac{75 !}{ (71)! 4 !}\)

       \(\left n} \atop }} \right. C _r = \frac{75 *74 * 73* 72 * 71!}{ (71)! (4*3*2 *1)}\)

        \(\left n} \atop }} \right. C _r = 1215450\)

The discount in dollars is $768.

This is a question of simple subtraction.

A sale price is the discounted price at which goods or services are being sold. This price is usually offered for a limited period of time

Discounted Amount means an amount equal to the sum of the Offer Discount, Volume Discount and Payment Discount, applied to the List Price of all Eligible Products ordered by the Customer under these Terms.

Larry and Donna bought a sofa at the sale price of $1152.

The original price of the sofa was $1920.

So, Discounted amount of the sofa= (Original price of the sofa- Sale price of the sofa)

i.e, ($1920-$1152)=  $768.

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Answer:

1.6 Miles

Step-by-step explanation:

A piece of space junk would travel 1.6 miles per second.

--Divide--

8 ÷ 5 = 1.6

Answer:

The graph that have an exports growth model is A.

Answer:

b

Step-by-step explanation:

Answer:

I believe  D is the answer to the question above.

Step-by-step explanation:

Answer: pretty sure its D

Step-by-step explanation:

Answer:

Ivan get 90 pounds more than Tanya.

Step-by-step explanation:

Since it's a 4:1 ratio there is 5 parts in total. So i divided the 150 by 5 to get 30. From there i multiplies the 30 by 4 to get Ivan's portion and Tanya only has one portion which is 30. So Ivan has 120 and Tanya has 30, 120-30= 90

Answer:

Ivan gets 120 and Tanya gets 30

Step-by-step explanation:

4 plus 1 is 5. 150 divided by 5 is 30 (Tanya's share) and 150 minus 30 is 120(Ivan's share)

Answer:

A

Step-by-step explanation:

Plug 2 in for y in the second equation. You get 3 as x. So x=3 and y=2. (3,2)

Answer:

J = 33

Step-by-step explanation:

43 - 2k = 33

43 - 10 = 33

33 = 33

Answer:

-53/12

Step-by-step explanation:

Answer:

Exact Form: -53/12

decimal form: -4.416

mixed number -4 5/12

Step-by-step explanation:

convert mixed numbers into improper fractions: -2 3/3 +(5 1/2)+ 8 3/4

convert mixed numbers into improper fractions: =11/2  =\(-\frac{23}{3}+\left(-\frac{11}{2}\right)+\frac{35}{4}\) =

\(-\frac{23}{3}+\left-\frac{11}{2}\right+\frac{35}{4}\)\(=-\frac{92}{12}-\frac{66}{12}+\frac{105}{12}\)

\(\frac{-92-66+105}{12}\)

add/subtract the numbers: -92-66+105=-53

-53/12

apply the fraction rule: \(\frac{-a}{b} = -\frac{a}{b\\}\)

\(=-\frac{53}{12}\\\)

Answer:

a) quad 3

b) y-axis

c) quad 4

d) quad 2

e) quad 1

f) x-axis

Answer:

option 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x + 10 ← is in slope- intercept form

with slope m = 6

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{6}\)

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - \(\frac{1}{6}\) and (a, b ) = (5, - 8 ) , then

y - (- 8) = - \(\frac{1}{6}\) (x - 5 ) , that is

y + 8 = - \(\frac{1}{6}\) (x - 5) ← equation of perpendicular line

Answer:

0 dollars

=E(M)

=μ  

M

​  

=−$10,000(0.81)+$40,000(0.18)+$90,000(0.01)

=−8,100+7,200+900

=0

​  

Answer:

0.2, as stated on Khan.

Step-by-step explanation:

Pay attention to the wording. There are two similar problems with wording, but the numbers are altered.

Answer:

6x - 3 y = 6

6x + 8y = -16

multiply equation 2 by -1

-6y -8y = 16

6x - 3y = 6

-11y =22

y = -2

substitute the value of y in 1

6x - 3(-2) = 6

6x + 6 =6

6x =0

x = 0

(x;y)

[0; -2]

9) 4x + 3y = 19

6x + 3y =33

multiply equation 2 by -1

4x + 3y = 19

-6x - 3y = -33

eliminate one variable by adding the equations

-2x =-14

x = 7

substitute the value of x in the equation

4(7) +3y = 19

28+ 3y = 19

3y =-9

y = -3

(x;y)

[7 ; -3]

10 ) 2x + 6y = 17

2x - 10y = 9

multiply by -1 in equation2

2x +6y = 17

-2x + 10 y = -9

eliminate one variable by adding the equations

16 y = 8

y = 1/2

substitute the value of y in the equation.

2x +6 (1/2) = 17

2x + 3 = 17

2x = 14

x = 7

x:y

[7 ; 1/2 ]

Answer:

Step-by-step explanation:

Given

y = x^2 + 10x + 21

Complete the square

y = x^2 + 10x + 21                           Put brackets around the first 2 terms

y = (x^2 + 10x) + 21                         Take 1/2(10) and square it. Add inside the brackets.

y = (x^2 + 10x + 5^2) + 21                 Subtract 5^2 after 21

y = (x^2 + 10x + 25) + 21 - 25          Make  (x^2 + 10x + 25) into a perfect square.

y = (x + 5)^2 - 4

Answer: (x + 5)^2 - 4

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Areas..

Bienvenidos al concepto de áreas.

Área de un triángulo = 1/2 * base * altura,

aquí, base = 250, altura = 180, así que obtenemos como

Área = 1/2 * 250 * 180

Área = 250 * 90

Área = 22,500 mtrs.

The magnitude of the area of the triangular piece of land is approximately 2,094.2 square meters.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

First, let's calculate the area of the triangular piece of land in square feet:

Area = (1/2) x base x height

Area = (1/2) x 250 ft x 180 ft

Area = 22,500 sq. ft

To convert this to square meters, we can use the conversion factor of 1 sq. ft = 0.092903 sq. m:

Area = 22,500 sq. ft x 0.092903 sq. m/sq. ft

Area ≈ 2,094.2 sq. m

Rounding to the nearest tenth of a square meter, we get:

Area ≈ 2,094.2 sq. m

Therefore,

The magnitude of the area of the triangular piece of land is approximately 2,094.2 square meters.

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The complete question:

A triangular piece of land has a base of 250 feet by a height of 180 feet What is the magnitude of its area in meters​

Answer:

the answer is b, c, d, a, respectively

Answer:

9 ft

Step-by-step explanation:

The equation for area of a square is:

\(A=s^2\)

Where s represents the length of the side.

We can substitute 81 square feet for the area to solve for s...

\(81ft^2=s^2\)

Take the square root of both sides:

\(\sqrt{81ft^2}=\sqrt{s^2}\)

\(9ft=s\)

Therefore the length of each side is 9 ft.

a) The inequality for the expression 2z + 9 is 2z + 9 > 13.

b) The inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The inequality for the expression 4 + 2z is 4 + 2z > 8.

d) The inequality for the expression 5(3z - 2) is 15z - 10 > 20.

a) To write an inequality for the expression 2z + 9, we can multiply the given inequality z > 2 by 2 and then add 9 to both sides of the inequality:

2z > 2 * 2

2z > 4

Adding 9 to both sides:

2z + 9 > 4 + 9

2z + 9 > 13

Therefore, the inequality for the expression 2z + 9 is 2z + 9 > 13.

b) For the expression 3(z - 4), we can distribute the 3 inside the parentheses:

3z - 3 * 4

3z - 12

Since we are given that z > 2, we can substitute z > 2 into the expression:

3z - 12 > 3 * 2 - 12

3z - 12 > 6 - 12

3z - 12 > -6

Therefore, the inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The expression 4 + 2z does not change with the given inequality z > 2. We can simply rewrite the expression:

4 + 2z > 4 + 2 * 2

4 + 2z > 4 + 4

4 + 2z > 8

Therefore, the inequality for the expression 4 + 2z is 4 + 2z > 8.

d) Similar to the previous expressions, we can distribute the 5 in the expression 5(3z - 2):

5 * 3z - 5 * 2

15z - 10

Considering the given inequality z > 2, we can substitute z > 2 into the expression:

15z - 10 > 15 * 2 - 10

15z - 10 > 30 - 10

15z - 10 > 20

Therefore, the inequality for the expression 5(3z - 2) is 15z - 10 > 20.

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Answer:

4,245 miles

Step-by-step explanation:

Hello there,

the reason the answer is 4245 is because its says per minute therefore each minute of the rocket is going 283 miles and when it ask how miles did it travel in 15 minutes u just multiply 283 and 15 which gets you the answer 4245 miles

         Hope dis helps.

Step-by-step explanation:

Step 1:  Multiply them together

Miles Per Minute * Minutes = Miles Traveled

283 * 15 = Miles Traveled

4245 = Miles Traveled

Answer: The rocket will travel 4,245 miles