Write and solve the inequality.
Nine less than the product of a number n and 1/6 is no more than 93.

Answer:

66.12 - 50.84 = -15.28

carly has -15.28$ after writing that check.

Answer:

Perpendicular

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

first you need to find the prime factors of the three numbers

ex:

prime factor of 18= \(2*3*3\)

prime of 24=\(2*2*2*3\)

there is one 2 and one 3 in common

greatest common multiple 2*3=6

so the greatest common multiple is ten because it is the only one that can divide between all three evenly.

\(10=10/10=1\\20=20/10=2\\50=50/10=5\)

so 10 is your answer

Answer:

Step-by-step explanation:

According to the given situation,

the area of figure A= l*b

                                =4m * 5m

                                =20m²

As the measures of the figure A and B is same,

the area of figure B = the area of figure A=20m²

the length of the side C and D are = 16m-8m-4m=4m

the area of figure C = l * b

                                 =4m*5m

                                 =20m²

As the measures of the figure C and D is same,

the area of figure D = the area of figure C=20m²

Area of the figure E=l * b

                               =8m * 13m

                               =104m²

∴ the area of the shaded region is =184m²

The value of the expression 2n - 1 when n = 7 is 13.

2n - 1

when n = 7

2n - 1

= 2(7) - 1

= 14 - 1

= 13

Mathematical expression is an expression which involves the combination of numbers and variables in a valid way, in a function of addition, subtraction, multiplication, division and exponentiation

Therefore, the value of the expression 2n - 1 when n = 7 is 13.

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The parabola function is given by,

We need to find two points on the parabola (other than vertex and x-intercepts).

Let's take a point x = 1 and find the corresponding y value:

So, the point is (1, 25)

Now, let's take another random x value of x = 2,

So, the corresponding y value is:

The other point is (2, 16)

The fraction of the student that voted candidate B is 31 / 50.

The percentage of the student that voted candidate B is 62%.

A class of 50 students votes for a class president.

Candidate A receives 19 votes.

Candidate B receives 31 votes

The fraction that shows the proportion of student that voted for candidate B is as follows:

fraction of student that voted candidate B = number of student that voted candidate B ÷ total number of students

fraction of student that voted candidate B  = 31 / 50

The percentage of student that voted for candidate B = 31 / 50 × 100

The percentage of student that voted for candidate B = 3100 / 50

The percentage of student that voted for candidate B = 62%

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Answer:

2B+5C

Step-by-step explanation:

Multiply them out....

2B=2*(4i-j) = 8i-2j

5C=5*(2i+3j) = 10i+15j

2B+5C= 8i-2j+10i+15j =18i+13j = A

9514 1404 393

Answer:

  a)  2B +5C

Step-by-step explanation:

It is probably easiest to simply try the answer choices. You find the first one works, which means it is the one you want.

  2B +5C = 2(4i -j) +5(2i +3j) . . . . choice (a)

  = 8i -2j +10i +15j

  = 18i +13j = A

__

In general, you can solve for the coefficients p and q that make ...

  pB +qC = A

  p(4i -j) +q(2i +3j) = 18i +13j

  (4p+2q)i +(-p +3q)j = 18i +13j

Equating the coefficients of i and j gives us 2 equations in p and q.

  4p +2q = 18

  -p +3q = 13

Adding 2 times the second equation to 1/2 the first, we get ...

  1/2(4p +2q) +2(-p +3q) = 1/2(18) +2(13)

 7q = 35

 q = 5

Using the second equation to find p, we get ...

  p = 3q -13 = 3(5) -13 = 2

These coefficients tell us ...

  A = 2B +5C . . . . . . . matches choice (a)

The statements that are true about the graph of y < 2x+1 include the following:

C. The area below the line is shaded.

D. A solution to the inequality is (2, 3).

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Based on the information provided, we have the following equation (inequality);

y < 2x + 1

The slope of the above equation (inequality) is 2 and the y-intercept of the boundary line is (1, 0). Additionally, the area below the dashed line must be shaded because the inequality symbol is less than (<).

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The volume of the cylinder is the extension of the base area throughout its length thus the volume of the given cylinder will be 198.

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

The volume of the cuboid = length × height × width.

As per the given cylinder,

The radius of the base of the cylinder = 3

Height = 7

Base area = π(radius)²

Base area = π(3)²

Base area = 9π

The volume of the cylinder = Base area × Height

Volume = 9π × 7 = 198.

Hence "The volume of the cylinder is the extension of the base area throughout its length thus the volume of the given cylinder will be 198".

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Answer:

Elena scored 22 points.

Step-by-step explanation:

Mai scored 5 points, and Noah scored three times as many. This means Noah scored 15 points and if Tyler scored four points fewer, he scored 11 points. If Elena scored twice as many as Tyler, she scored 22.

Answer:

56 dived by 4. answer would be 14. so she would need to run two weeks

Step-by-step explanation:

Answer:

14  need to run two weeks

Step-by-step explanation:

The surface area of a rectangular prism is 48 5/6 mi².

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

Surface area of a rectangular prism = 2(LH + LW + WH)

Where:

By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;

Surface area of rectangular prism = 2[6 × 2 1/3 + (1 1/4 × 6) + (1 1/4 × 2 1 /3)]

Surface area of rectangular prism = 2[14 + 15/2 + 35/12]

Surface area of rectangular prism = 48 5/6 mi².

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Answer:

The function would be odd

The answer is neither.

Let's take an odd number and substitute.

Now, let's take an even number.

Since both even and odd numbers are possible, it is neither.

The ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.

If two solids that are similar to each other, have volumes A and B respectively, and have a scale factor of a:b, thus, the ratio of their volumes would be expressed as:

Volume of solid A/Volume of solid B = a³/b³

or

Volume of solid A : Volume of solid B = a³ : b³

Thus, the given similar solids have a scale factor of 5:3, therefore, the ratio of their volumes would be expressed as shown below:

5³ : 3³

125 : 27

Thus, the ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.

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Answer:

1 / 10000

Step-by-step explanation:

10^3 / 10^7

apply exponent rule: x^a / x^b = x^(a-b)

10^3 / 10^7 where a = 3 and b = 7

10^(3 - 7) = 10^(-4)

apply exponent rule: a^-b = 1 / a^b

1 / 10^(4)

10^4 = 10000

1 / 10000

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Answer:

10^-4

Step-by-step explanation:

In division of powers (when the numbers are the same), you subtract both the powers. In this case, it would be 3 - 7 = -4, resulting in a power of -4

Answer:

A

Step-by-step explanation:

Answer:

3.6

Step-by-step explanation:

Use proportions, 2.4 ÷ 4 = 0.6 / 6 × 0.6 = 3.6

The only true statement about the domain of the given function is:

B. f(x) is negative for all x < -5

The domain of a function is defined as the set of values that we can possibly plug into our function. This set is the x values in a function such as f(x).

Now, we are given the function as:

f(x) = \(\frac{2}{x^{2} } + 3x - 10\)

When x < -5, we have:

f(-4) = \(\frac{2}{(-4)^{2} } + 3(-4) - 10\)

f(-4) = -21.875

This suggests that for all values below x = -5 will result in negative values

When x > 2

f(3) = \(\frac{2}{3^{2} } + 3(3) - 10\)

f(3) = -0.78

Thus, it will get positive for higher values but it can also be negative as seen here.

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The range of distance from A to C is greater than 12.3 feet and less than 32.1 feet.

To precisely state the dimensions of a triangle's sides, the triangle inequality theorem is a crucial component of geometry.

According to this rule, a triangle's third side must be longer than the sum of its other two sides.

Say, AB, BC, and CA make up three of the sides of the triangle ABC.

The length of (AB + BC) must therefore be longer than CA according to the triangle inequality theorem.

As a result, CA > (AB + BC).

The sum of the lengths of BC and CA must exceed the length of AB.

As a result, AB > (BC + CA).

The sum of the lengths of AB and CA must exceed the length of BC.

Consequently, (AB + CA) > BC.

AB = 22.2 feet

BC = 9.9 feet

Taking AB as the longest side of the triangle.

The measure of AB must be less than the sum of AC and BC.

⇒ AC < AB + BC

⇒ AC < 22.2 + 9.9

⇒AC < 32.1 feet

Therefore, the range of distance from A to C is greater than 12.3 feet and less than 32.1 feet.

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Answer for part A is half of Abena's pocket money remained unused,the Answer for part B is Abena spent 120 cedis on clothes.

How to solve ratio?

a. Let P be the total amount of pocket money Abena had. She spent 1/4 of it on books, so the amount of money she spent on books is (1/4)P. The remainder is (3/4)P. Abena then spent 1/3 of the remainder on clothes, which is (1/3)×(3/4)P = (1/4)P on clothes.The total amount of money Abena spent is (1/4)P + (1/4)P = (1/2)P.

The amount of money she didn't spend is the difference between her pocket money and the amount she spent, which is P - (1/2)P = (1/2)P.Therefore, the fraction of Abena's pocket money that remained unused is:(1/2)P / P = 1/2So, half of Abena's pocket money remained unused.b. Let's use the same variables as in part (a). We know that Abena had 240 cedis left, which is equal to (1/2)P. Therefore, we can solve for P:(1/2)P = 240P = 480So Abena had 480 cedis in total as her pocket money.

We also know that she spent (1/4)P on books, which is:(1/4)×480 = 120 cedisThe remainder is (3/4)P, which is:(3/4)×480 = 360 cedisAbena then spent (1/3) of the remainder on clothes, which is:(1/3)×360 = 120 cedis

Therefore, Abena spent 120 cedis on clothes.

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There is a directly proportional relationship between "x" and "y" which is y=5x i.e., for every "x", value of "y" is "5x" hence the value of "y" if value of x=3/5 will be y = 3.

As per the question statement, we are supposed to find out a proportional relationship between "x" and "y" and also find the value of "y" when x=3/5.

After observing the given data, we conclude that y = 5x i.e., for every value of "x", value of "y" is "5x".

So we derive a formula y = 5x and the proportionality constant is 5

Now when x = 3/5

Then by the formula, y = 5x,

y = 5*(3/5)

y = 3    

Hence, there is a directly proportional relationship between "x" and "y" which is y=5x i.e., for every "x", value of "y" is "5x" hence the value of "y" if value of x=3/5 will be y = 3.

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Answer:

2x ( -3x + 14)

Step-by-step explanation:

Distribution property is used in a format like a ( b + c ). To simplify these kinds of expressions, we multiply the outside term by each of the inside terms. So in this instance, a ( b + c ) is equal to ab + ac.

3x ( 2x - 8 ) + 4x

Let's use what we learned above, and multiply the outside term (-3x) by each of the inside terms.

-3x · 2x + (-3x) · (-8) +4x

Simplify by multiplication:

-6x² + 24x +4x

Finally, we add:

-6x² +28x

Now, to simplify further, we can look for terms that show up in numbers.

We can see that the variable x is present in each of the terms, so we can factor that out, removing it from the term as follows:

x ( -6x + 28)

We can look and see that 2 is also a common factor between the two terms, so we can take that out too.

2x ( -3x + 14)

This is the most simplified it can get.

\(P=\dfrac{F}{A}\\\\\implies PA = F\\\\\implies A = \dfrac{F}{P}\)

The linear model is Population = 92 + 2.35x and the exponential model is Population= 92(1.0187)ˣ.

An exponential model implies that the change in y is proportionate to its present value, whereas a linear model assumes that the change in y is constant for each unit change in the explanatory variable (x). To put it another way, an exponential model assumes a varying rate of change, whereas a linear model implies a constant rate of change.

Let us suppose number of years = x.

Given that, the U.S. population in 1910 was 92 million people. In 1990, the population was 280 million.

From 1910 to 1990 is a period of 80 years, the increase in population over this period is 280 million - 92 million = 188 million.

Therefore, the average annual increase in population is 188 million / 80 years = 2.35 million.

Thus, the linear model is:

Population = 92 + 2.35x

The exponential model is:

The population grew from 92 million in 1910 to 280 million in 1990, a factor of 280/92 = 3.0435.

The period of growth is 80 years, so the annual growth rate can be calculated as:

rate = (3.0435)^(1/80) - 1 = 0.0187 or 1.87%

Population= 92(1.0187)ˣ

Hence, the linear model is Population = 92 + 2.35x and the exponential model is Population= 92(1.0187)ˣ.

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Answer: (a) 1/4    (b) 8/15     (c) 5/12     (d) 13/20      (e) 79/100

Step-by-step explanation:

Create a table of values (below) as it will be easier to do the calculations.

\(\begin{array}{l|c|c|c}&\underline{\text{Total at party}}&\underline{\text{Used magic}}&\underline{\text{Did NOT use magic}}\\\text{Gryffindor}&0.40&0.4(0.1)=0.04&0.4(0.9)=0.36\\\text{Hufflepuff}&0.30&0.3(0.2)=0.06&0.3(0.8)=0.24\\\text{Ravenclaw}&0.20&0.2(0.4)=0.08&0.2(0.6)=0.12\\\underline{\text{Slytherin}}&\underline{\qquad 0.10\qquad}&\underline{0.1(0.7)=0.07}&\underline{0.1(0.3)=0.03}\\\text{Totals}&1.00&0.25&0.75\end{array}\)

\(a)\quad \dfrac{\text{Used magic}}{\text{Total at party}}=\dfrac{0.25}{1.00}=\large\boxed{\dfrac{1}{4}}\)

\(b)\quad \dfrac{\text{Total Gryffindor}}{\text{Does NOT use magic}}=\dfrac{0.40}{0.75}=\large\boxed{\dfrac{8}{15}}\)

\(c)\quad \dfrac{\text{Uses magic}}{\text{Total NOT Gryffindor}}=\dfrac{0.25}{1.00-0.40}=\dfrac{0.25}{.60}=\large\boxed{\dfrac{5}{12}}\)

\(d)\quad \dfrac{\text{Does NOT use magic-NOT Gryffindor}}{\text{Total NOT Gryffindor}}=\dfrac{0.75-0.36}{1.00-0.40}=\dfrac{0.39}{0.60}=\large\boxed{\dfrac{13}{20}}\)

\(e)\quad \dfrac{\text{Gryffindor + Do NOT use magic}}{\text{Total at party}}=\dfrac{0.40+0.75-0.36}{1.00}=\large\boxed{\dfrac{79}{100}}\)

Answer:53=125

Step-by-step explanation:For an increasing function like this, the end behavior at the right "end" is going to infinity. Written like: as x→∞,y→∞ . That means that large powers of 5 will continue to grow larger and head toward infinity. For example, 53=125 .