While at School Brian had a math quiz every 6 days and a science quiz every four days. On February 15 he had both tests. Assuming no school days off when will he have both tests on the same day again.

Answer:

43.5

Step-by-step explanation:

217.5/5

43.5

Answer:

18 people ordered beer.

Step-by-step explanation:

15 + 3 = 18 people

Answer:

18

Step-by-step explanation:

Add the 15 as well as the three people who purchased both wine and beer. The total for beer purchases would be 18.

Given a rectangle of which its length is nine more than triple the width. The width is _10_inches. The length is 39 inches.

Let:

l = length of the rectangle

w = width of the rectangle

"The length of a rectangle is nine more than triple the width" can be translated as:

l = 9 + 3w

perimeter = 2 l + 2w

Substitute perimeter = 98 and  l =  9 + 3w into the perimeter equation:

98 = 2 x (9 + 3w) + 2w

98 = 18 + 8w

8w = 98 - 18

8w = 80

w = 80/8 = 10 inch.

Substitute w = 10 into the length equation:

l = 9 + 3w

l = 9 + 3 x 10

l = 9 + 30 = 39

Therefore the correct answer is:

The width is _10_inches. The length is 39 inches.

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The solution for all three is mathematically given as

Generally, the equation for students taking only PE and not Bio and Eng is  mathematically given as

P(PBE)= 28 – (5+6+4)

= 28 - 15

= 13

Students taking only Bio and not PE and Eng

P(BP)= 31 – (5+4+2)

= 31 - 11

= 20  

Students who are merely studying English and are not also taking Bio and PE

P(EP)= 42 – (6+4+2)

= 42 - 12

= 30  

Now, students who have taken three different classes

P(3)= 100 - ( 13 + 5 + 4 + 20 + 2 + 30 + 6 )

= 100 - 80

= 20

In conclusion, Students who have taken BIO and PE but not ENG will get a = 5 for their efforts.

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Answer:

Ms. Russell purchased 218 teacher-discount tickets and 133 administrator-discount tickets.

Step-by-step explanation:

Let's start by defining the variables:

Let t be the number of teacher-discount tickets purchased by Ms. Russell.

Let a be the number of administrator-discount tickets purchased by Ms. Russell.

From the problem statement, we know that:

The price of a raffle ticket is $1.00.

Teachers get a 40% discount, so they pay only 60% of the regular price.

Administrators get a 10% discount, so they pay only 90% of the regular price.

Ms. Russell purchased a total of 351 tickets.

Ms. Russell spent a total of $250.50.

We can use these facts to set up a system of two equations:

t + a = 351 (the total number of tickets)

0.6t + 0.9a = 250.50 (the total amount spent, taking into account the discounts)

To solve for t and a, we can use substitution or elimination. Let's use elimination:

Multiplying the first equation by 0.6, we get:

0.6t + 0.6a = 210.6

Subtracting this equation from the second equation, we get:

0.3a = 39.9

Dividing by 0.3, we get:

a = 133

Substituting this value into the first equation, we get:

t + 133 = 351

t = 218

Therefore, Ms. Russell purchased 218 teacher-discount tickets and 133 administrator-discount tickets.

Answer:

x=25+30=55 since the vertically opposite angle are equal.sorry the no is not clear in question

Answer:

\(\boxed{\tt x= 45^{\circ}}\)

Step-by-step explanation:

∠BEG and ∠DEB combine to form ⇒ ∠DEG, which is a vertical angle with ∠x because it's the opposite from ∠x.

(Vertical angles are always congruent, or of equal measure)

So, \(\tt \angle BEG +\angle DEB=\angle x\)

\(\tt \angle BEG +\angle DEB=\angle x\)

\(\tt 25^{\circ}+20=x\)

\(\tt 45^{\circ}=x\)

\(\tt x= 45^{\circ}\)

_____________________________

The sketch for slope is attached below.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Point               Slopes

(1, 1)                     (a) 3

_                        (b) -3

_                        (c) -5/2

_                         (d) Undefined

a) Now, using slope intercept form

y - 1= 3 (x-1)

y- 1= 3x- 3

y= 3x - 2

(b) Equation of a line has a slope -3 is given by

y - 1= (-3) (x-1)

y-1 = 3- 3x

y = -3x + 4

(c) Equation of a line has a slope -5/2 is given by

y - 1= (-5/2) (x-1)

y-1 = -5/2x + 5/2

y= -5/2x + 7/2

(d) The line parallel to y axis and passes through given point : x=1

"undefined" means the line is vertical.

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Hi there! :)

Answer:

Length = 10.5 m, width = 7 m.

Step-by-step explanation:

Given:

Perimeter, or P = 35 m

Ratio of l to w = 3 : 2

Since the ratio is 3 : 2, let l = 3x, and w = 2x.

We know that the formula for the perimeter of a rectangle is P = 2l + 2w. Therefore:

35 = 2(3x) + 2(2x)

35 = 6x + 4x

35 = 10x

x = 3.5

Plug this value of "x" into each expression to solve for the dimensions:

2(3.5) = w

w = 7 m

3(3.5) = l

l = 10.5 m

Therefore, the dimensions are:

Length = 10.5 m, width = 7 m.

Using Algebraic equations, The diagram might also show other values or quantities related to the equation, depending on the specific context or purpose of the diagram.

Algebraic equations are mathematical statements that involve one or more variables, as well as constants and mathematical operations such as addition, subtraction, multiplication, and division. An algebraic equation usually has an equals sign (=) that separates the two sides of the equation. The goal of an algebraic equation is to find the value of the variable that makes the equation true.

For example, the equation x + 3 = 7 is an algebraic equation that involves the variable x. The goal is to find the value of x that makes the equation true. In this case, we can solve the equation by subtracting 3 from both sides, which gives us x = 4.

Algebraic equations can be used to model a wide variety of real-world situations, such as the relationship between the price and quantity of goods sold, the growth rate of a population, or the amount of interest earned on an investment. They are a fundamental tool in many branches of mathematics, science, engineering, and economics, and they are also used extensively in computer programming and data analysis.

Without a specific diagram to refer to, it's difficult to provide a specific answer. However, I can provide a general explanation of how a diagram might show that x + 4 has the same value as 17 and how it might indicate the quantity x.

One way a diagram might represent this equation is through the use of a balance or scale. For example, the diagram might show a balance with a weight of 17 on one side and a weight of x + 4 on the other side. If the balance is level, it indicates that the weight of x + 4 is equal to the weight of 17, which means that x + 4 has the same value as 17.

To indicate the quantity x, the diagram might show a box or symbol on the side of the balance representing x + 4. This box might have a label or caption indicating that it represents x + 4. By subtracting 4 from both sides of the equation, we can determine that x is equal to 13, which would be the value of x that the diagram is representing. The diagram might also show other values or quantities related to the equation, depending on the specific context or purpose of the diagram.

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Answer:

C, F

Step-by-step explanation:

Dont have time rn

The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.

To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.

The equation is:

X^2/2 - 8 = 2X - 2

To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:

X^2 - 16 = 4X - 4

Next, we rearrange the equation to have all terms on one side:

X^2 - 4X - 12 = 0

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:

(X - 6)(X + 2) = 0

Setting each factor equal to zero gives us two possible solutions:

X - 6 = 0 --> X = 6

X + 2 = 0 --> X = -2

So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.

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The type of matter that is represented by the building bricks in the container is B. a mixture consisting of two compounds.

The type of matter that is shown on the diagram would be a mixture between two compounds. This is because the first brick is a compound of two different elements with one being yellow and the other, black. The other block is red and blue to show it is also a compound with two different elements.

The two compounds would then be a mixture in the container because they are only physically together and not chemically.

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Answer:

i think the answer is 18.15

Step-by-step explanation:

The equation to calculate the cost of her shoes without shipping included is: x = 55.25

Let x be the cost of Carly's shoes.

The problem states that the total cost of her purchase (including shoes and shipping) is $60.75, so we can set up the equation:

x + 5.50 = 60.75

To find the cost of her shoes without shipping, we need to isolate x. We can do this by subtracting 5.50 from both sides:

x + 5.50 - 5.50 = 60.75 - 5.50

Simplifying:

x = 55.25

Therefore, the equation to calculate the cost of her shoes without shipping included is: x = 55.25

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Part A

This is not an experiment.

Why not? Because the participants aren't divided into two groups of control group vs treatment group. This is an observational survey in which the researchers are asking each participant about the alcohol consumption level (independent variable) and how it may be tied to the risk of cancer (dependent variable).

======================================================

Part B

The population appears to focus on all women between the ages of 50 and 64.

The sample of the 1.28 million women is not the population, but rather, it ideally tries to approximate the population the best it can.

======================================================

Part C

The independent variable is the alcohol consumption rate, i.e. how much beer/wine/etc was consumed. Think of it like the variable x as the input of a function.

The dependent variable is the cancer rate. It's similar to the y output of a function. The dependent variable depends on the independent variable; hence the name. The study is trying to see if altering the amount of alcohol somehow alters the rate of cancer.

Keep in mind that cancer is still a very ongoing subject of research. Unfortunately we still have a lot to learn about it. Despite this, it's highly unlikely that alcohol is the direct cause of cancer. So instead, we consider that these variables are correlated in some way even if a link is found/proven. Other factors need to be considered such as

Answer:

24x^2+41x-35

Step-by-step explanation:

(3x+7)(8x-5)

24x^2+56x-15x-35

24x^2+41x-35

Answer: This comes out to be 0.1031.

Step-by-step explanation:

in this case, we are given that the rate of power cuts in the city is 3/day, so the rate parameter for our Poisson distribution is $\lambda=3$. We want to find the probability that there are at least 7 cuts but at most 4 cuts in a given day. This means we need to find the probability that $k=7$, $k=8$, $k=9$, ..., $k=4$. We can use the formula for the probability mass function to find the probability for each of these values of $k$ and add them together to get the total probability.

Answer: 1 =5$

200$=40

Step-by-step explanation:

Answer:

40 boxes

Step-by-step explanation:

200 = 5x

x = 40

Answer:

the dollar for 9 interstate is 16 rupees is and interest rate for 88 percentage is is 14 rupees

Answer:

The lower limit is 72.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If X is more than 2 standard deviations from the mean, it is unusual.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

In this question, we have that:

\(n = 100, p = 0.8\)

So

\(\mu = 0.8, s = \sqrt{\frac{0.8*0.2}{100}} = 0.04\)

He would be suspicious if the number of normal births in the sample of 100 births fell below the lower limit of "usual." What is that lower limit?

2 standard deviations below the mean is the lower limit, so X when Z = -2.

Proportion:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(-2 = \frac{X - 0.8}{0.04}\)

\(X - 0.8 = -2*0.04\)

\(X = 0.72\)

Out of 100:

0.72*100 = 72

The lower limit is 72.

Answer:

11 Cards.

Step-by-step explanation:

The stack has 24 cards. Cate added 8 cards. 24 + 8 = 32.

Elena then took 12 cards. In other words, 32 - 12 = 20.

Finally, Cate took 9 cards from the stack. 20 - 9 = 11. So the resulting amount of cards in the stack is 11.

Answer:

D. The square root of 256 is 16

Step-by-step explanation:

16^2 = 256

Answer: 15.45133224

Step-by-step explanation:

Find the area of the half circle.

r=6

pi (6)^2/2

Divide by two because it is a half circle not a circle.

pi (6)^2/2=18 Pi

We know there are two square with even side lengths so we know the sides of the two squares are 6 it is the same as the radius of the circle.

We multiply B*H= Area of the square

6*6=36 is the length of half of the rectangle aka the square

So we multiply that by 2 because there are 2 squares so we get 72

72-18 Pi= 15.45133224

Answer:

15.48 is the answer

Step-by-step explanation:

6×6×3.14=113.04

113.04÷2= 56.52

6×12= 72

72-56.52= 15.48

Answer:

l''kkk 1/2 cups

Step-by-step explanation:

To make 45 muffins the amount of flour required will be 6.25.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a recipe calls for 2 1/2 cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe.

The amount of flour required will be calculated as:-

2 (1/2) flour ⇒ 18 muffins

2.5 flour ⇒ 18 muffins

2.5 x 2.5 flour ⇒ 2.5 x 18 muffins

6.25 flours ⇒ 45 muffins

Therefore, to make 45 muffins the amount of flour required will be 6.25.

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Answer:

The equation to represent Sam's age​ is 15 ÷ 5 = s

s = 3