The quotient of a number and 5 plus 25 is no more than 45. What are the possible values for the number?

Answer:

no solution

Step-by-step explanation:

if you plug in y=8-3x to 5y,

5(8-3x) the x's cancel out

40=20

^no real solution

Answer:

43

Step-by-step explanation:

A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.

A set that includes all or a portion of another set's elements is known as a subset. For instance, because every even integer is also an integer, the set of even integers is a subset of the set of integers. A subset that contains some, but not all, of the members of another set is said to be a proper subset. Because it contains some, but not all, of the positive integers, the set of positive integers less than 10 is a valid subset of the set of positive integers.

A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.

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As I understand, we want to perform the given sum by adding the correspondent place values.

Using this method, we will see that the value of the sum is 258.

First, we define the place values as the value that each "position" has, where the reference is the decimal point.

The first place at the left of the decimal points is the units digit.

The second is the tens digit, and so on.

With this, we can rewrite te twi given numbers as:

Then the sum can be done as:

215 + 43

(2*100 + 1*10 + 5*1) + ( 4*10 + 3*1)

2*100 + (1 + 4)*10 + (5 + 3)*1

2*100 + 5*10 + 8*1 = 258

Then we have:

215 + 43 =  258

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Answer:

Step-by-step explanation:

it's c

3^3 * 2^3*5

Answer:

23

Step-by-step explanation:

Answer:

Shown from explanation below.

Step-by-step explanation:

If they both eat 5/12 each, it means they would both eat;

5/12 + 5/12 = (5 + 5)/12 = 10/12 = 5/6 of a bar.

Answer:

5/12 per brother x 3/1 brothers = 15/12 chocolate bars ate so the brothers ate 15/12 chocolate bar because each brother ate 5/12 and there are 3 brothers so we multiply

15/12 = 1 1/4 = 5/4

Step-by-step explanation:

\(\tan(y )=\cfrac{\stackrel{opposite}{6}}{\underset{adjacent}{4}} \implies \tan( y )= \cfrac{3}{2} \implies \tan^{-1}(~~\tan( y )~~) =\tan^{-1}\left( \cfrac{3}{2} \right) \\\\\\ y =\tan^{-1}\left( \cfrac{3}{2} \right)\implies y \approx 56.31^o \\\\[-0.35em] ~\dotfill\\\\ \tan(x )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{6}} \implies \tan( x )= \cfrac{2}{3} \implies \tan^{-1}(~~\tan( x )~~) =\tan^{-1}\left( \cfrac{2}{3} \right) \\\\\\ x =\tan^{-1}\left( \cfrac{2}{3} \right)\implies x \approx 33.69^o\)

Make sure your calculator is in Degree mode.

Answer:

108,000 joules

Step-by-step explanation:

Kinetic energy, k = 1/2 mv^2

Where,

m = mass of the object in kilogram

v = velocity in meters per seconds

If

Velocity of an object = 20 meters per seconds

Kinetic energy = 48,000 joules

Solve for m

k = 1/2 mv^2

48,000 = 1/2 × m × 20^2

48,000 = 1/2 × m × 400

48,000 = 200m

m = 48,000 / 200

m = 240 kg

If it speeds up to 30 meters per second, then what is its new kinetic energy?

k = 1/2 mv^2

Using m = 240 kg

k = 1/2 mv^2

= 1/2 × 240 × 30^2

= 1/2 × 240 × 900

= 216,000 / 2

= 108,000 joules

The new kinetic energy = 108,000 joules

Answer:

Answer:

108,000 joules

Step-by-step explanation:

Kinetic energy, k = 1/2 mv^2

Where,

m = mass of the object in kilogram

v = velocity in meters per seconds

If

Velocity of an object = 20 meters per seconds

Kinetic energy = 48,000 joules

Solve for m

k = 1/2 mv^2

48,000 = 1/2 × m × 20^2

48,000 = 1/2 × m × 400

48,000 = 200m

m = 48,000 / 200

m = 240 kg

If it speeds up to 30 meters per second, then what is its new kinetic energy?

k = 1/2 mv^2

Using m = 240 kg

k = 1/2 mv^2

= 1/2 × 240 × 30^2

= 1/2 × 240 × 900

= 216,000 / 2

= 108,000 joules

The new kinetic energy = 108,000 joules

Step-by-step explanation:

The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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Answer:

2 1/4 or 2.25

Step-by-step explanation:

2/4 = 1/2

3/2 = 6/4

1/2 + 3/2 + 1/4

2/4 + 6/4 + 1/4

add

2 + 6 + 1

= 9

so

9/4, = 2 1/4

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Each pair of athletic shoe cost $20 and each pair of athletic shoe cost $35, in the given arithmetic problem.

By doing addition, subtraction, multiplication, and division on numbers, arithmetic is defined as the study of numbers.

Let 20x be the cost of manufacturing 20 athletic shoes and 10y be the cost of manufacturing 10 casual shoes, then

20x + 10y = 750

10y =  750 - 20x

y =  75 -2x

Let 25x be the cost of manufacturing 25 athletic shoes and 20y be the cost of manufacturing 20 casual shoes, then

25x + 20y = 1200  

20y = 1200 - 25x

y = 60 - 25x/20

y = 60 - 1.25x

Equalise the y terms

75 -2x = 60 - 1.25x

75 - 60 = -1.25x + 2x

15 = 0.75x

x = 15/ 0.75

x = 20

Substitute the value of x in y =  75 -2x

y =  75 -2(20)

y = 75 - 40

y = 35

Thus, each pair of athletic shoe cost $20 and each pair of athletic shoe cost $35.

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Full question:-

Ranger Shoe Company manufactures two types of shoes, athletic shoes and casual shoes. The cost of manufacturing 20 pairs of athletic shoes and 10 pairs of casual shoes is $750. If 25 pairs of athletic shoes and 20 pairs of casual shoes were manufactured, the cost would be $1200. How much does it cost to manufacture each type of shoe?

Answer: BC<MN

Step-by-step explanation:

Answer: BC <MN

Step-by-step explanation: i just took the test on eginuity

Answer:

The slope of the perpendicular line to the line is

m   = \(\frac{-1}{2}\)

Step-by-step explanation:

Step(i):-

Given that the line y =f(x) = 2x +6

                           ⇒  y = 2x +6

 comparing             y =mx +c

The slope of the given line   m =2

Step(ii):-

The slope of the perpendicular line   = \(\frac{-1}{m}\)

The slope of the perpendicular line   = \(\frac{-1}{2}\)

Answer:

B

Step-by-step explanation:

y² - 12y + 32

consider the product of  factors of the constant term (+ 32) which sum to give the coefficient of the y- term (- 12)

the factors are - 4 and - 8 , since

- 4 × - 8 = + 32 and - 4 - 8 = - 12 , then

y² - 12y + 32 = (y - 4)(y - 8)

Answer:

B. (y-4)(y-8)

Step-by-step explanation:

Given equation: y² - 12y + 32. Essentially, we are going to find two numbers that multiply to 32 and add up to -12.

1) Pull out the factors of 32 and find the pair that multiply to 32 and add up -12.

They are: -8 and -4.

2) Rewrite the b of the original quadratic equation as a sum, then factorise by grouping.

y² - 8y - 4y +32

y(y - 8) - 4(y - 8)

(y - 4)(y -8)

Answer:

y¹⁰

Step-by-step explanation:

Let’s say y=2.

This means 2 to the power of 4 is 16.

Then, we do 16 times 2, because it says y4 times 6.

16 times 2 is 32.

Now we find what 2 to the power of 5 is.

That is also 32.

Finally, we do 32 times 32 which is 1,024.

As you can see, we used 2, aka y 10 times. This is because y4 has 4 y’s, and y5 has  5 y’s. Then, there is one extra y in the middle.

Therefore, 4 + 5 + 1 is equal to 10.
This can be written as y10.

hope this helped!

The maximum amount you can finance is $896.

We are given that;

The monthly gross income = $3,200

Now,

28% of your gross monthly income on your mortgage, including taxes and insurance

The percentage = 28%

3200* 28/100

=32*28

=896

Therefore, by percentage the answer will be $896.

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Answer:

3 to the power of 4 is 81

Step-by-step explanation:

The number of strides the runner will make during 1 hour run will be =

10,800.

To calculate the distance or number of strides made by the runner in an

hour, the graph given above is considered as follows;

The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.

From the graph

20 minutes= 3600 strides

60 minutes = X strides

make X the subject of formula;

x= 3600×60/20

= 216000/20

= 10,800

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Answer:

\(\huge\boxed{\sf 38}\)

Step-by-step explanation:

= a³ + b (6 + c)

Put a = 2, b = 3 and c = 4

= (2)³ + 3 (6 + 4)

= 8 + 3(10)

= 8 + 30

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

the requied answer is 38.

according to the question the value of a=2,b=3,c=4.

here,

to find the value of   a³ + b (6 + c)we have to do it in steps:

step 1: solve the bracket (6+4) =10.

step 2:  solve the value of a³ =8.

now put these values ,

=8+3(10)

=38.

Answer:

true for the first one and also true for the other one.

Answer:

On a number line, 1/6 would land in the exact middle between 0 and 2/6

Step-by-step explanation:

Not too sure what your question meant, but I hope my answer helped!

If it wasn't what you were looking for, please let me know and elaborate on your question and I'll be happy to help out! :)

Answer:

ig this is free pionts, sry whats the question???

Step-by-step explanation:

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

1st blank = 45

2nd blank = 90

Step-by-step explanation:

this is an quadratic sequence. (an^2 + bn + c)

use of the formulas

2a = (_)

3a + b = (_)

a + b + c = (_)

A linear graph represents a proportional relationship include the following: C. A graph of a straight line that passes through the points 0 comma negative 4 and 1 comma negative 4.

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.

Generally speaking, the graph of any proportional relationship is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.

In this scenario, a graph of a straight line that passes through the data points (0, -4) and (1, -4) represents a proportional relationship because it would go through the origin (0, 0).

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A linear graph represents a proportional relationship include the following: C. A graph of a straight line that passes through the points 0 comma negative 4 and 1 comma negative 4.

What is a graph?

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.

Generally speaking, the graph of any proportional relationship is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.

In this scenario, a graph of a straight line that passes through the data points (0, -4) and (1, -4) represents a proportional relationship because it would go through the origin (0, 0).

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Answer:

The greatest common factor of x2-64 is 1

Step-by-step explanation:

The mean tensile strength of the resin cement is between 228.35 and 256.04

Given, a researcher's bounded crowns to 72 extracted teeth.

n = 72, the mean tensile strength of the resin cement,  = 242.2 newtons

The standard deviation, s = 70.6 newton

90% confidence interval for  if the sample size n is 72.

mean = t (8/√n)

Where, α = 0.1 and α/2 = 0.05, (n-1) degrees of freedom = 71

242.2  ± t (8/√n)

242.2 ± 1.664 (8.320)

(228.355 , 256.04)

Lower bound = 228.35N , Upper bound = 256.04N.

Therefore, the Researcher’s are 90% confident level that the mean tensile strength of the resin cement is between 228.35 and 256.04

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The slope m of a line is one of the elements in the equation of a line when written in the "slope and intercept" form: y = mx+b. The m in the equation is the slope of the line described here.