Bob paid $ 9.90 for a box of crayons. How much did each crayon cost?

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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Answer:

10.1

Step-by-step explanation:

weighted mean = sum of the multiplication of frequency and value /sum of frequency

sum of frequency  = 5 + 5 + 5 + 21 = 36

sum of the multiplication of frequency and value = (16 x 5) + (20 x 5) +  (16 x 5) + ( 5 x 21) = 365

365/36 = 10.1

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer: Divide the measure of the arc by 360

Step-by-step explanation:

we can understand it with help of example.

Let there is a circle O in which An arc AC made a central angle 60°

Now the area in fraction = 60°/360°= 1/6

Because when we divide the circle in 6 parts then the area of each part = 1/6 of the area of the circle.

Therefore the central angle by this area is also 1/6 of the total central angle of the circle which is 360°

Thus, the angle made by this = 360°/6 = 60°

From the ratio given, the number of games won is 77

To solve this problem, we simply need to use the ratio of games won to find the total number of games played.

Let x represent the total number of games played;

The fraction of games won can be written as

\(\frac{9}{9 + 2} * x = 63\\\frac{9}{11}* x = 63\)

Let's solve for x here;

\(\frac{9x}{11} = 63\\ 9x = 63 * 11\\9x = 693\\x = 77\)

From the calculations above, the chess played a total of 77 games.

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Answer:

$40.00 is the answer

Step-by-step explanation:

also can you mark me as a brainlist if you get a chance

Answer: $40.00

Step-by-step explanation:

12 is 30% of 40

The measure of the angle is 65 degrees

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

The circle

From the circle, we have

R = 90

Also, we have

P = 1/2 * 50

P = 25

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

PQR = 180 - 90 - 25

Evaluate

PQR = 65

Hence, the measure of the angle is 65 degrees

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Answer:

x-3

Step-by-step explanation:

first off, you've got to factor this expression

x^2-x-6= (x+2)(x-3)

so that is your expression.

then, you can take a look at the options.

x+2 is a binomial, and x-3 is a binomial

the only option out of those two that is on the screen is x-3.

the answer is x-3

hope this helped!!!

Answer:

-54 is a integer and rational number

Step-by-step explanation:

Answer:

a 99.8% confidence interval for this probability, after learning that 35 of the last 93 Red Shirts who beamed down with Kirk met an ...

The mistakes that were made regarding the transformation are:

It should be noted that a transformation simply means the changing of the position of an object

In this case, the transformation is incorrect as he applied the reflection to the pre-image first and used an incorrect angle of rotation around point P.

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Answer:

Step-by-step explanation:

Solution:

We can simplify the ratio 305 : 60 by dividing both terms by the greatest common factor (GCF).

The GCF of 305 and 60 is 5.

Divide both terms by 5.

305 ÷ 5 = 61

60 ÷ 5 = 12

Therefore:

305 : 60 = 61 : 12

Answer:

Minimum value = -6

Step-by-step explanation:

The minimum value is the y-coordinate of the minimum on the parabola.

Currently 3/4x^2 + 6x + 6 is in standard form, whose general equation is:

ax^2 + bx + c

Step 1:  We can first find the x-coordinate of the maximum using the following formula:

-b / 2a

From the function, we see that 6 is b and 3/4 is a.  Now, we plug these values into the formula and simplify:

-6 / (2 * 3/4)

-6 / (6/4)

-6 / (3/2)

-6 * 2/3

-12/3

-4

Step 2:  Now we can plug in -4 for x in the function to find the minimum value:

y = 3/4(-4)^2 + 6(-4) + 6

y = 3/4(16) -24 + 6

y = 48/4 - 24 + 6

y = 12 - 24 + 6

y = -12 + 6

y = -6

Thus, the minimum value of the function y = 3/4x^2 + 6x + 6 is -6

The total income from the machines over the first 5 years is $185.89

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

f(t) = 160e0.03t

Where

Rewrite the function properly

so, we have the following representation

f(t) = 160e⁰.⁰³ⁿ

The above function is an exponential function

So: In the first 5 years, we have the value of t to be 5

This is represented as follows

t = 5

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

f(5) = 160e⁰.⁰³ ˣ ⁵

Evaluate the product of the exponents

f(5) = 160e⁰.¹⁵

The products above give

f(5) = 185.89

Hence, the total income is $185.89

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The equation that represents a quadratic relationship is y = 4x^2. Option A.

A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.

Let's analyze the given equations:

1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.

2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.

3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.

4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.

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The required angles (corresponding, vertical and alternate) in relation to the Parallel lines are attached accordingly.

Parallel lines are coplanar infinite straight lines that do not cross at any point in geometry. Parallel planes are planes that never intersect in the same three-dimensional space.

When two parallel lines cross by any other line (i.e. the transversal), corresponding angles are generated in matching corners or corresponding corners with the transversal.

When two parallel lines are sliced by a transversal, the resulting alternate exterior angles are congruent, according to the Alternate Exterior Angles Theorem.

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A graph that represents the solution set of the compound inequality is: graph D.

In Mathematics, 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 following inequality symbols:

Next, we would solve the given compound inequality by making x the subject of formula as follows;

x + 3 < 1/2(4x - 12) < 20

Multiplying all through by 2, we have the following:

2x + 6 < 4x - 12 < 40

Next, we would solve the compound inequality in parts:

2x + 6 < 4x - 12

4x - 2x < 12 + 6

2x < 18

x < 18/2

x < 9.

4x - 12 < 40

4x < 40 + 12

4x < 52

x < 52/4

x < 13.

In conclusion, the line on a number line (graph) should be open when the inequality symbol is greater than (>) or less than (<).

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Answer:

Answer 1008

Step-by-step explanation:

The value of x is, x = 7°.

What is isomorphic triangles?

Simple polygon triangulation is a common problem in computational geometry with applications in many fields of study. There are many algorithms, and it has been thoroughly studied. This page focuses on a slightly different issue: how to triangulate two straightforward polygons in a way that results in an isomorphic mapping between the two triangulations. As a result, any triangulation algorithm won't work for us.

Given:

ΔADB ≅ ΔCBD

∠ADB = 49° and ∠CDB = 7x

We have to find the value of x.

As the triangles are isomorphic, so their angles are also isomorphic.

⇒ ∠A ≅ ∠C,  ∠D ≅ ∠D,  ∠B ≅ ∠B

⇒ 49° = 7x

⇒ x = 7°

Hence, the value of x is, x = 7°.

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Answer:

1/2

Step-by-step explanation:

The probability that the advertisement is a social media ad and has an odd number is 1/13.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that, A local business had various advertising campaigns. It had television ads numbered 1,2,3,4,5,6, newspaper and magazine ads numbered 1,2,3,4,5, and social media ads labeled 1,2.

We need to find If a single advertisement campaign is picked at random, what is the probability that the advertisement is a social media ad AND has an odd number,

Probability = favorable outcomes / possible outcomes

Number of social media ads with an odd number = 1

Total number of ads = 13

We know that,

P(that the advertisement is a social media ad AND has an odd number)

= 1/13.

Hence, the probability that the advertisement is a social media ad and has an odd number is 1/13

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Answer:

The normal price of mixer is $150.

Step-by-step explanation:

Given that:

Normal prices are reduced by 15% in sale.

The normal price of mixer is reduced by $22.50

It means that it is the amount of discount.

Let,

x be the normal price of the mixer.

15% of x = 22.50

\(\frac{15}{100}x=22.50\\0.15x=22.50\)

Dividing both sides by 0.15

\(\frac{0.15x}{0.15}=\frac{22.50}{0.15}\\x=150\)

Hence,

The normal price of mixer is $150.

The normal price of the mixer is $150.

Given that,

Based on the above information, the calculation is as follows;

Let us assume the normal price be x

15%x = 22.50

0.15x = 22.50

x = $150

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A formula without free variables is a formula that does not contain any variables that are not quantified.

Sentences are commonly referred to as formulas devoid of any unrestricted variables. These statements hold a truth value independent of the variable values, hence the reason.

Open formulas are frequently referred to as formulas with free variables. These are not actually declarations; instead, they are arrangements that can transform into declarations by allotting definite values to the independent variables.

Formulas without free variables are often easier to work with than formulas with free variables.

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Answer:

A) x=40

Step-by-step explanation:

As 1 cm= 5 km

then, 8 cm= 5*8= 40

Ratio of scale in map to the actual distance in land = 1 cm : 5 km

We can write this ratio in fractional form as :

\( = \tt \frac{1}{5} \)

Distance between two cities in map = 8 cm

Let the distance between two cities in land be x.

This can be written as :

\( \hookrightarrow\tt \frac{1}{5} = \frac{8}{x} \)

Let us solve this equation to find the actual distance between the two cities :

\( = \tt \frac{1}{5} = \frac{8}{x} \)

\( = \tt 1 \times x = 8 \times 5\)

\( \hookrightarrow\color{plum} \tt \: x = 40 \: km\)

Thus, the actual distance between the two cities = 40 km

Therefore, the correct option is (A) \) \frac{1}{5} = \frac{8}{x} \(

Answer:

48 boys

Step-by-step explanation:

Answer:

500:10

Step-by-step explanation:

I think that is it, sorry I can't really remember I did ratios a long time ago.

Answer: 50:1

Step-by-step explanation:

Step-by-step explanation:

The situation described can be modeled using a linear equation, where the balance of the savings account increases by a fixed amount every month. Specifically, the equation that represents this situation is:

balance = $5000 + $825 * months

where "months" represents the number of months that have passed since the account was opened. The slope of this line is constant at $825, indicating that the balance is increasing by the same amount every month.

Therefore, the model for this situation is linear.

Answer:

A

Step-by-step explanation:

Answer: False

Step-by-step explanation:

If the function has a negative slope, then it will decrease.