there are 60 minutes in one hour and 60 seconds in one minute using this information explain how you could convert 20 miles per hour to feet per second

Answer:

63

Step-by-step explanation:

23 + 94  = 117

180 degrees ( sum of all angles in a triangle)

180 - 117 = 63

Answer:

slope :

Correct option - F

we have

10x + 8 y = 20 ------> equation A

10 x + 2 y = -10 ​------> equation B

Multiply equation A by -1 both sides

so

-10x-8y=-20 -----> new equation A

Adds new equation A and equation B

\

--------------------

-8y+2y=-20-10

-6y=-30

y=5

Find the value of x

substitute the value of y in equation A or equation B or new equation A

10x + 8(5) = 20

10x+40=20

10x=20-40

10x=-20

x=-2

therefore

Answer:

Step-by-step explanation:

The ages of the signers of the Declaration of Independence are shown. (Age is approximate since only the birth year appeared in the source, and one has been omitted since his birth year is unknown.) Construct a grouped frequency distribution and a cumulative frequency distribution for the data using 7 classes. Limits Boundaries 27-33 26.5-33.5 7 41 54 47 40 39 35 50 37 49 42 70 32 44 52 39 50 40 30 34 69 39 45 33 42 44 63 60 27 42 34 50 42 52 38 36 45 35 43 48 46 31 27 55 63 46 33 60 62 35 46 45 34 53 50 50 34-40 33.5-40.5 14 41-47 40.5-47.5 15 48-54 11 47.5-54.5 54.5-61.5 55-61 3 62-68 61.5-68.5 3 69-75 68.5-75.5 55

Answer:

u - 6 + 13/u+3

Step-by-step explanation:

Have a good day :)

Given the coordinates of two points on the line, use the slope formula to determine the slope of the line. The slope formula is the quotient of the difference in y-values and the difference in x-values.

....................... .x=3

The required rational number is 7/11.

let the denominator be x.      

and since we are given that the numerator of a rational number is 4 less than its denominator, the numerator will be x-4.

working on the given condition, i.e. If I is added to both its numerator and denominator, it becomes 2/3

(x-4+1)/(x+1) = 2/3

further solving it by cross multiplication we get,

3(x-4+1)=2(x+1)

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

=> 3x-9=2x+2

=> 3x-2x=9+2

=> x=11

=> x= 11 (denominator)

we know the numerator is 4 less than the denominator i.e.

11-4=7

thus the required fraction will be 7/11.

What are rational numbers?

A rational number is-" one that can be stated mathematically as the ratio or fraction p/q of two integers, p and q, which must both be non-zero".

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By graphing both equations and finding where the graphs intercept, we can see that the solution for the system is x = 3.

Here we have the functions:

f(x) = -2x +4

g(x) = 2x - 8

We want to find the value of x such that:

f(x) = g(x).

If we graph the two functions, we just need to identify the x-value of the point where the functions intercept.

The graph can be seen in the image below.

There we can see that the graphs intercept at (3, -2), meaning that the solution of:

f(x) = g(x) is x = 3.

Which is the same thing that if we write:

f(x) = g(x)

-2x + 4 = 2x - 8

4x = 12

x = 12/4 = 3

x = 3

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Answer:

Step-by-step explanation:

Given that:-

Since, Serving of 1 pancakes takes 2/3 cups of milk

Hence, serving of 24 pancakes takes (2/3)*24

                                                    =48/3

                                                   =16

So that; 16 cups of milk are required for serving of 24 pancakes.

Answer:

16 cups of milk

Step-by-step explanation:

Make a proportion

[tex]\frac{serrvings}{cups of milk}[/tex] = [tex]\frac{servings }{cups of milk}[/tex]

[tex]\frac{1}{\frac{2}{3} }[/tex] = [tex]\frac{24}{x}[/tex]  cross multiply and solve

1x = [tex]\frac{2}{3}[/tex][tex](\frac{24}{1})[/tex]       1x is the same a x.  24 is the same as [tex]\frac{24}{1}[/tex]

x = [tex]\frac{48}{3}[/tex]

x = 16

5 units

Explanation

Step 1

the distance between 2 points P1 and P2 is given by:

Let

P1=A(-3,4)

P2=B(2,-4)

Step 2

put the values into the equation

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:(f+g)(x) = 5x² + 3x - 1 [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: f(x) = 5 {x}^{2} - 2[/tex]

and

[tex]\qquad \tt \rightarrow \: g(x) = 3x + 1[/tex]

We need to find : (f + g) (x) = ?

[tex]\qquad \tt \rightarrow \: (f + g)(x) = f(x) + g(x)[/tex]

[tex]\qquad \tt \rightarrow \: (f + g)(x) = 5 {x}^{2} - 2 + 3x + 1[/tex]

[tex]\qquad \tt \rightarrow \: (f + g)(x) = 5 {x}^{2} + 3x - 1[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The value of a in the magic square is  25

The value of b in the magic square is 3

The value of c in the magic square is 14

The value of d in the magic square is 7

The mathematical operations that would be used to determine the missing numbers are addition and subtraction. Addition is the process of determining the sum of two or more numbers. Subtraction is the process of determining the difference of two or more numbers.

According to the information provided in the question, all rows, diagonals and columns add to the same number. Thus, the first step is to determine the sum of all the squares.

The three squares of the diagonal from left to right has all the complete numbers.

Sum of the the squares = 5 + 16 + 27 = 48

a = 48 - 18 - 5 = 25

b = 48 - 18 - 27 = 3

c = 48 - 29 - 5 = 14

d = 48 - 27 - 14 = 7

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The median of a set of numbers is the number that appears in the middle after arranging the set of numbers in ascending or descending order

Step 1:Arrange the given values in ascending order.

Step 2. Find the number of observations in the given set of data. It is denoted by n.

Step 3. If n is odd, the median equals the [(n+1)/2]th observation.

The set of numbers given in the question are

By rearranging the numbers in ascending order, we will have

The numbers are 7 in number that is

Since the value of N is an odd number, then the median will be calculated using the formula below

The 4th number after arranging the set of numbers is

Hence,

The median of the set of numbers in the question = 11

SOLUTION

f(x) = x + 3

Answer:

x = 8

y = 8

Step-by-step explanation:

The two equations are:

x + y = 16    (1)

x = y           (2)

Since x = y substitute for y in terms of x in (1):
x + x = 16

2x = 16

2x/2 = 16/2

x = 8

y = 8

Answer:

Perpendicular

Step-by-step explanation:

It js seems right. i did one very similar and the awnser was Perpendicular

Yes, This situation represent a function.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The cost of each car = $40

The cost of each person = $8.50

Let the number of car = x

The number of persons in a car = z

Then, Total cost of car = $40x

Total cost of persons in car = $8.50z

So, Total cost (y) = $40x + $8.50z

Thus, The function for this situation is;

y = $40x $8.50z

Clearly, This is a linear function with three variable.

Thus, This situation represent a function.

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The Greatest Common Factor (GCF) for 104 and 106, notation GCF(104,106), is 2.

Given that,

The numbers 106 and 104.

We have to find the greatest common factor of 106 and 104.

The greatest commo factor is nothing but the greatest common factor, which is the product of two or more numbers, is the largest number (GCF). By dividing them by the largest number, a natural number is produced (factor).There are a few factors that both share once all the number's factors have been identified. The common factor with the highest number among the others is said to be the greatest common factor. The GCF is often referred to as the highest common factor (HCF)

The factors of 104 are 1,2,4,8,13,26,52,104;

The factors of 106 are 1,2,53,106.

Therefore, as we can see, the Greatest Common Factor or Divisor is 2, because it is the greatest number that divides evenly into all of them.

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Answer:

3.204

Step-by-step explanation:

3 + 0.2 +  0.004

After 10 years, the money dis she earn is $800 with the interest of 6%.

Interest:

Interest is the amount for a particular principal amount of money at some rate of interest.

Given,

Jackie deposited $500 in an account for 10 years at 6% interest.

Here we need to find the money did she earned.

We know that, the interest for the amount is 6%.

So, the amount after 10 years is,

=> 500 x (6/100) x 10

=> 30 x 10

=> 300

Therefore, the interest amount is 300.

So, the total amount she will receive after 10 years is,

=> 500 + 300

=> 800

Therefore, she will earn $800 after 10 years.

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The time taken for the bomb to fall to the ground is 2.5 sec.

Given:

Height (h) = 50 m

Horizontal velocity(u) = 20 m/s

Time (t) =?

We use, h = ut to determine the time

50 = 20 × t

Divide both sides by 20,

t = 50 / 20

t = 5/2 s ≅ 2.5 sec

Thus, the bomb will take 2.5 sec to land on the ground.

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The complete question is: "A bomb is projected horizontally downward from a height of 50m with a velocity of 20m/s. Calculate the time taken for the bomb to fall to the ground."

The angles congruent to ∠5 are as follows:

According to the diagram, line l, m and n are parallel lines.

Therefore, when parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, vertical opposite angle etc.

Hence, the angles that are congruent to ∠5 can be solved as follows:

∠5 ≅ ∠8 (vertically opposite angles)

Vertically opposite angles are congruent.

∠5 ≅ ∠1 (corresponding angles)

Corresponding angles are congruent.

∠5 ≅ ∠4 (alternate angles)

Alternate angles are congruent.

∠5 ≅ ∠9 (corresponding angles)

∠5 ≅ ∠12 (alternate exterior angles)

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Answer:

Step-by-step explanation:

To find the median of a stem and leaf plot, use the equation:

Therefore, for the given plot, there are 16 elements.

When there are two middle values, the median is the mean of these two values:

The original price for the desk is $980.

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred.

Given:

Sale price = 343

price was 35% of the original price.

let the original price be x

35% of x = 343

35 / 100 * x = 343

x= 343 * 100/ 35

x=980

Hence, the original price of the desk was $980.

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The equation for the quadratic graphed as x-intercepts: (-3,0) and (-1,0); y-intercept: (0,-2) can be written as y = -1/2 (x+3)(x+1)

An equation of the second degree, or one with at least one squared term, is a quadratic equation. The equation in standard form is written as ax2 + bx + c = 0, where a, b, and c are numerical coefficients that are constants, and x is an unknown variable.

The initial constant, “a,” cannot be 0, and this is an unbreakable rule.

In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, first determine the slope and y-intercept. The slope is the ratio of the y-to-x change.

Thereafter draw a sloping triangle connecting the two spots you find on the line.

If the x intercepts are -3 and -1, then the factored form is y = a(x + 3)(x + 1). In order to find "a", we plug in the data point (x, y) of (0, -2) so:

-2 = a(0+3)(0+1)

-2 = 4a

a = -1/2

So the equation can be written as y = -1/2 (x+3)(x+1)

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A 45-day certificate of deposit (CD) earning 6% per year simple interest. Simple interest and precise simple interest are the two types of simple interest. $2250 is simple interest for the 6% interest.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

Simple Interest is the amount repaid for using borrowed funds over a predetermined amount of time.

Simple interest=p*n*r

=300000*6/100*45/365

=2250

Ordinary simple interest and precise simple interest are the two types of simple interest. In order to calculate interest, a year is divided into 360 days for ordinary simple interest and 365 days (or 366 days for leap years) for exact simple interest.

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The provided translated function, f(x), shifts left by two units on the horizontal axis.

One type of transformation is translation. Both the scaling calculation and the compression calculation are performed using it. This approach wouldn't change the object's form or shape.

The given graph equation for the translation, as per the query, is g(x) = (x + 2)²

The translation of the given quadratic function is: y = g(x) = (x + 2)²

Consequently, the parent function is written as y = g(x) = x2.

Additionally, the vertex should be known when graphing the translated function:

a(x - h)2 + k = y = g(x);

where the parent function is (0, 0) and the vertex values are (h, k).

(h, k) = is the vertex for the function that is provided (-2, 0)

This information causes the translation function to move the graph two units to the left.

Horizontal translation is the name given to the translation.

As a result, the given function, f(x), shifts horizontally, or left, by 2 units.

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Answer:

x is any real number from -infinity to infinity.