cards numbered 500 through 799 sre placed into a box. how many of the cards satisfy both of the condition shown below m. the first digit of the three digit number on the cards is odd. the three digit number on the card is divisible by 6

A graph of the inequality "y is less than negative one fourth times x minus 3" is: D. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line.

In order to determine the ordered pair that is included in the solution to this linear inequality, we would first of all translate the word problem into an algebraic equation as follows;

y is less than negative one-fourth times x minus 3 ⇒ y < -x/4 - 3.

Next, we would use an online graphing calculator to graphically solve the linear inequality. Therefore, the required solution for the given linear inequality is the shaded area below the dashed line, which is given by the ordered pairs (−12, 0) and (0, -3).

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Answer:

it’s D dotted line with shading below

Step-by-step explanation:

i got it on my quiz

Answer and Step-by-step explanation:

To solve for r,

You must take all the values away from r to the other side of the equal sign.  We do this using our operations: Addition, Subtraction, Multiplication, and Division.

First, we see that -3.54 isn't connected to r directly, so we can add that to both sides of the equation to get rid of -3.54 on the left side of the equation.

2.5(r - 4.4) + -3.54 + 3.54 = 6.46 + 3.54

2.5(r - 4.4) = 10

Next, we see that 2.5 is multiplying the expression (r - 4.4). We would need to divide both sides of the equation by 2.5.

\(\frac{2.5(r - 4.4)}{2.5} =\frac{10}{2.5}\)

r - 4.4 = 4

Finally, we must add 4.4 from both sides to get r by itself.

r - 4.4 + 4.4 = 4 + 4.4

r = 8.4

The answer is 8.4

I hope this helps!
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Answer:

False

Step-by-step explanation:

2/5 is not equal to 4/7

Answer:

a is correct

Step-by-step explanation:

The correct option is; Associative Property of Addition.

For the given question;

The equation formed by the given statement is -

5 + [(-3x) + 4] = [5 + (-3x)] + 4

Observe the stated equation and comparing with the general equation;

The values are arranged in the form of associative addition.

Check the values;

LHS = 5 + [(-3x) + 4] ; simplifying,

5 -3x + 4 = 9 - 3x

RHS =  [5 + (-3x)] + 4 ; simplifying,

5 - 3x + 4 = 9 -3x

As, LHS = RHS and addition is being done.

Thus, the given equation shows the associative property of addition.

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a) The algebraic fraction \(\frac{{x + 2}}{{(x - 1)^2}}\) is proper. b) The algebraic fraction \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\) can be expressed as \(-\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

Let's solve each part step by step and determine whether the fraction is proper or improper, and then express it accordingly.

a) \(\frac{{x + 2}}{{(x - 1)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 1 (linear term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is less than the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

\(\frac{{x + 2}}{{(x - 1)^2}} = \frac{A}{{x - 1}} + \frac{B}{{(x - 1)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 1)^2)\) to eliminate the denominators:

  (x + 2) = A(x - 1) + B.

Expand the equation and collect like terms:

  x + 2 = Ax - A + B.

Equate the coefficients of like terms:

  Coefficient of x: 1 = A.

  Constant term: 2 = -A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = 1.

Substituting A = 1 into the constant term equation: 2 = -1 + B, we find B = 3.

Therefore, the partial fraction decomposition is:

  \(\frac{{x + 2}}{{(x - 1)^2}} = \frac{1}{{x - 1}} + \frac{3}{{(x - 1)^2}}\).

b) \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 2 (quadratic term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is equal to the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = \frac{A}{{x - 4}} + \frac{B}{{(x - 4)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 4)^2)\) to eliminate the denominators:

  (4x^2 - 31x + 59) = A(x - 4) + B.

Expand the equation and collect like terms:

  4x^2 - 31x + 59 = Ax - 4A + B.

Equate the coefficients of like terms:

Coefficient of \(x^2\): 4 = 0 (No \(x^2\) term on the right side).

Coefficient of x: -31 = A.

Constant term: 59 = -4A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = -31.

Substituting A = -31 into the constant term equation: 59 = 4(31) + B, we find B = -25.

Therefore, the partial fraction decomposition is:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = -\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

The above steps provide the solution for each part, including determining if the fraction is proper or improper and expressing it in partial fractions.

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The total pounds of the potatoes Willie have is 362 pounds.

For the given question.

Multi-Step Willie bagged his potatoes in -

Thus, the total pounds of the potatoes are-

Total potatoes = 18×10 + 16×5 + 4×25 + 2

Total potatoes = 362

Thus, the total pounds of the potatoes Willie have is 362 pounds.

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The coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the Coordinates of Luke's house on the coordinate grid.

The grid representing Kyle's house. However, based on the given information, we can determine the coordinates of Kyle's house relative to Luke's house.

If Luke's house is located at the point (x, y), then Kyle's house is located 4 units to the left of Luke's house, which means the x-coordinate of Kyle's house is (x - 4). Similarly, Kyle's house is located 2 units up from Luke's house, which means the y-coordinate of Kyle's house is (y + 2).

Therefore, the coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the coordinates of Luke's house on the coordinate grid.

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Answer:

20 hours

Step-by-step explanation:

\(\frac{15}{24}\)=\(\frac{18}{x}\)

15÷18=1.2

x=24÷1.2= 20 hours

20 hours is the answer

The time taken by 18 caterpillars to eat the entire Bush in Violetta's front yard is 20 hours.

Time taken is the inverse of the rate of work.

As it is given that the time taken by 15 caterpillars to eat all the leaves on the bush in Violetta's front yard is 24 hours, therefore, the rate at which the 15 caterpillars eat the leaves can be written as,

\(\rm Rate = \dfrac{\text{Number of Bush That caterpillars eat}}{\text{Time taken by the caterpillars}}\)

\(\rm Rate = \dfrac{1}{24}\)

Now, as it is the rate of 15 caterpillars, therefore, the rate of a single caterpillar can be written as,

\(\rm Rate = \dfrac{\frac{1}{24}}{15} = \dfrac{1}{24 \times 15}\)

Now, the time taken by 18 caterpillars can be written as,

\(\rm Time\ taken = \dfrac{Work}{Rate \times 18}\\\\\rm Time\ taken = \dfrac{1}{\dfrac{1}{24 \times 15}\times 18}\\\\Time \taken = \dfrac{24 \times 15}{1 \times 18} = 20 \ hours\)

hence, the time taken by 18 caterpillars to eat the entire Bush in Violetta's front yard is 20 hours.

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Answer: It will not fit

Step-by-step explanation:

1L=33.8 ounces, so half of that (the .5) is 16.9

16.9+33.8= 50.7, which is .7 more that the capacity of the jar. Hope this helps (=

Answer: A

Step-by-step explanation:

Volume= LxWxH so we get 20x28x24 as given.

Volume= 13,440 which is the volume of the box given. ANd so if the box is 10,500cubic inches, we subtract to find the difference.

13,440-10,500= 2,940 Cubic Inches

Option A

Answer:

Part A:  13440 cubic inches.

Part B: A - 2940 cubic inches.

Step-by-step explanation:

The volume of the box = 24x20x28 = 13440 cubic inches.

The problem tells us that his gift is 10,500 cubic inches. So subtract that from the volume of the box.

13440-10500 = 2940 cubic inches. The answer is A.

Answer:

4

Step-by-step explanation:

just trust me

Answer:

its 6

Step-by-step explanation:

can i get the brainly?

Answer:

30

Step-by-step explanation:

multiply 5 x 3 and you get 15 then multiply the roots and you also get 2 so then you have to multiply 5 and 2 to get 30.

The solution is : the simplification of 5√2 × 3 √2 is:  30.

Here, we have,

given that,

5√2 × 3 √2

now, we need to simplify this, i.e. we have to multiply this.

so, we get,

multiply 5 x 3 and we get 15

then multiply the roots and we also get 2

i.e. √2 ×√2 = 2

so then you have to multiply 15 and 2 to get 30.

i.e. 15 * 2 = 30

so, we have,

5√2 × 3 √2

= 5 × 3 × √2 ×√2

=15 × 2

=30

Hence, The solution is: the simplification of 5√2 × 3 √2 is:  30.

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Answer:

1. Expression: y = 235x

Answer: 1,175

2. The cost of the shirts is 5 dollars. Alex has 15 dollars in his wallet. He wants to buy 3 shirts. Write an expression that represents this problem.

Step-by-step explanation:

5. 235 per second

5 x 235 = 1,175

Expression: y = 235x

The value for the height of the rectangular prism is found as; h = 7.

The formula for the surface area of rectangular prism is;

S = 2(ab+bh+ah)

Where,

a=6, b=5 and s=214

Substitute the values in the formula.

214 = 2(6×5 + 5h + 6h)

Simplifying;

30 + 11h = 107

11h = 107 - 30

11h = 77

h = 7

Thus, the value for the height of the prism is found as; h = 7.

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Looks like a badly encoded/decoded symbol. It's supposed to be a minus sign, so you're asked to find the expectation of 2X ² - Y.

If you don't know how X or Y are distributed, but you know E[X ²] and E[Y], then it's as simple as distributing the expectation over the sum:

E[2X ² - Y] = 2 E[X ²] - E[Y]

Or, if you're given the expectation and variance of X, you have

Var[X] = E[X ²] - E[X]²

→   E[2X ² - Y] = 2 (Var[X] + E[X]²) - E[Y]

Otherwise, you may be given the density function, or joint density, in which case you can determine the expectations by computing an integral or sum.

Thus, the number of buses needed to carry the 2177 tourists is found as 61.

A number can be divided into an equal amount of component parts.

People may display a variety of signs to denote division. The backslash / is additionally employed, though the character is more typical. Numerous numbers may occasionally be written with a line separating them. It is also known as a fraction.

A division calculation has a name for each component. The dividend, the divisor, and indeed the quotient are the three key terms.

Given data:

Number of tourists carried by 1 bus = 36.

Total number of tourists = 2177.

Number of buses = (Total number of tourists)/(Number of tourists carried by 1 bus)

Number of buses = 2177/36

Number of buses = 60.47

Number of buses =  61

Thus, the number of buses needed to carry the 2177 tourists is found as 61.

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Answer:

A-Cylinder

Step-by-step explanation:

Because when folded back to its original state the circles at the top and bottom act as bottoms of a Cylinder.

Answer:

cylinder which means it's A

Answer:

B. Use the coordinate pairs to show that an equation of the form y = x + c can be written. C. List out the coordinate pairs and show that each y–value is a multiple of its associated x–value. D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.

Step-by-step explanation:

Answer:

D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.

hope it helps have a nice dayyy

Answer:

3 miles

Step-by-step explanation:

To get from 12 to 48 we can multiply by 4. So if we multiply 3/4 by 4 we would get the number of miles:

3/4 × 4 is the same as 3/4 × 4/1 which is 12/4 or 3

He could walk 3 miles in 48 minutes.

Hope this helps!

Answer:

The solutions to the quadratic function are:

\(x=i\sqrt{\frac{1}{2}}+\frac{1}{2},\:x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}\)

Step-by-step explanation:

Given the function

\(f\left(x\right)\:=\:4x^2\:-\:4x\:+\:3\)

Let us determine all possible solutions for f(x) = 0

\(0=4x^2-4x+3\)

switch both sides

\(4x^2-4x+3=0\)

subtract 3 from both sides

\(4x^2-4x+3-3=0-3\)

simplify

\(4x^2-4x=-3\)

Divide both sides by 4

\(\frac{4x^2-4x}{4}=\frac{-3}{4}\)

\(x^2-x=-\frac{3}{4}\)

Add (-1/2)² to both sides

\(x^2-x+\left(-\frac{1}{2}\right)^2=-\frac{3}{4}+\left(-\frac{1}{2}\right)^2\)

\(x^2-x+\left(-\frac{1}{2}\right)^2=-\frac{1}{2}\)

\(\left(x-\frac{1}{2}\right)^2=-\frac{1}{2}\)

\(\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}\)

solving

\(x-\frac{1}{2}=\sqrt{-\frac{1}{2}}\)

\(x-\frac{1}{2}=\sqrt{-1}\sqrt{\frac{1}{2}}\)                 ∵ \(\sqrt{-\frac{1}{2}}=\sqrt{-1}\sqrt{\frac{1}{2}}\)

as

\(\sqrt{-1}=i\)

so

\(x-\frac{1}{2}=i\sqrt{\frac{1}{2}}\)

Add 1/2 to both sides

\(x-\frac{1}{2}+\frac{1}{2}=i\sqrt{\frac{1}{2}}+\frac{1}{2}\)

\(x=i\sqrt{\frac{1}{2}}+\frac{1}{2}\)

also solving

\(x-\frac{1}{2}=-\sqrt{-\frac{1}{2}}\)

\(x-\frac{1}{2}=-i\sqrt{\frac{1}{2}}\)

Add 1/2 to both sides

\(x-\frac{1}{2}+\frac{1}{2}=-i\sqrt{\frac{1}{2}}+\frac{1}{2}\)

\(x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}\)

Therefore, the solutions to the quadratic function are:

\(x=i\sqrt{\frac{1}{2}}+\frac{1}{2},\:x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}\)

1. Simplifying the exponent (a⁵a⁹)⁻⁵/a⁻¹⁵ = a⁻⁵⁵

2. Simplifying the exponent  [(m⁻³m⁻⁷)/(m⁻⁴)⁻³]⁵ = m⁻¹⁰

Exponents are powers to which a number is raised.

1. Given the exponential expression, (a⁵a⁹)⁻⁵/a⁻¹⁵, we desire to simplify the expression. We proceed as follows

Since we have  (a⁵a⁹)⁻⁵/a⁻¹⁵

Using the multiplication law of exponents which is xᵃ x xᵇ = xᵃ⁺ᵇ, the numerator becomes

(a⁵a⁹)⁻⁵/a⁻¹⁵ =  (a⁵⁺⁹)⁻⁵/a⁻¹⁵

=  (a¹⁴)⁻⁵/a⁻¹⁵

Also, using the factor law (xᵃ)ᵇ = xᵃᵇ, we have that

 (a¹⁴)⁻⁵/a⁻¹⁵ = (a¹⁴×⁻⁵)/a⁻¹⁵

=  (a⁻⁷⁰)/a⁻¹⁵

Now using the division law of exponents, we have xᵃ/xᵇ = xᵃ⁻ᵇ

So,   (a⁻⁷⁰)/a⁻¹⁵ = a⁻⁷⁰ ⁻⁽⁻¹⁵⁾

= a⁻⁷⁰⁺¹⁵

= a⁻⁵⁵

So, (a⁵a⁹)⁻⁵/a⁻¹⁵ = a⁻⁵⁵

2. Given the exponential expression, [(m⁻³m⁻⁷)/(m⁻⁴)⁻³]⁵, we desire to simplify the expression. We proceed as follows

Since we have [(m⁻³m⁻⁷)/(m⁻⁴)⁻³]⁵

Using the multiplication law of exponents which is xᵃ x xᵇ = xᵃ⁺ᵇ, the numerator becomes

[(m⁻³m⁻⁷)/(m⁻⁴)⁻³]⁵ = [(m⁻³⁺⁽⁻⁷⁾)/(m⁻⁴)⁻³]⁵

= [(m⁻³⁻⁷)/(m⁻⁴)⁻³]⁵

= [(m⁻¹⁰)/(m⁻⁴)⁻³]⁵

Also, using the factor law (xᵃ)ᵇ = xᵃᵇ, we have that

= [m⁻¹⁰/(m⁻⁴)⁻³]⁵ = [(m⁻¹⁰)/(m⁻⁴×⁽⁻³⁾)]⁵

= [(m⁻¹⁰)/m⁻¹²]⁵

Now using the division law of exponents, we have xᵃ/xᵇ = xᵃ⁻ᵇ

So, [(m⁻¹⁰)/m⁻¹²]⁵ = [m⁻¹⁰ ⁻⁽⁻¹²⁾]⁵

= [m⁻¹⁰⁺¹²]⁵

= [m⁻²]⁵

Using the factor law (xᵃ)ᵇ = xᵃᵇ, we have that

[m⁻²]⁵ = m⁻²ˣ⁵

= m⁻¹⁰

So, [(m⁻³m⁻⁷)/(m⁻⁴)⁻³]⁵ = m⁻¹⁰

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Answer:

D one is the answer

Step-by-step explanation:

Answer:

5 seconds per foot

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Answer:

It's 12

Step-by-step explanation: yup

Answer:

12

Step-by-step explanation:

x/18=8/12

*Multiply both sides by 18

x=144/12

x=12

option:-

\( \: \)

Given:-

\( \: \)

\( \: \)

To find:-

\( \: \)

Solution:-

\( \: \)

\( \: \)

\( \: \)

or

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

~How to find ratio?

━━━━━━━━━━━━━━━━━━━━━━━━━━━━

\( \: \)

hope it helps! :)

The best way for us to identify which function type would each data set corresponds is to plot the given points. Let's plot the points given to us and identify what type of function does the plot corresponds to.

A. The plot for the set A is

Based on the shown plot, we can see a linear plot, hence, set A is a linear function.

B. The plot for the set B is

Based on the shown plot, there is a sudden increase in value of y per increasing value of x, hence, set B can be classified as an exponential function.

C. The plot for the set C is

The plot shows a curve behavior going up, which means that set C can be classified as a quadratic function.

D. The plot for the set D is

Based on the shown plot, there is a sudden increase in value of y per increasing value of x, hence, set D can be classified as an exponential function.