The sum of a​ student's three scores is 228. If the first is15 points more than the​ second, and the sum of the first two is 27 more than twice the​ third, what was the first​ score?

I need help with this equation. please share with me your thoughts to help me

a) On a coordinate plane, points are at (1, 48.1), (2, 50.9), (3, 62.4), (4, 67), (5, 76.5), (6, 83.9), (7, 86.8), (8, 88.1), (9, 79.2), (10, 69.9), (11, 59.5), (12, 49.6)  best represents the data.

This is because the data represents a set of paired values, with the months as the independent variable (x) and the average maximum monthly temperature as the dependent variable (y). A scatter plot is the appropriate graph for displaying this type of data.

Option a shows the correct placement of the data points on a scatter plot, with the x-axis representing the months and the y-axis representing the average maximum monthly temperature. The points are clearly organized in a sequence from January to December, with an upward trend in temperature from the winter months to the summer months, followed by a gradual decrease in temperature in the fall and winter months.

Option b has the correct range of temperatures, but the points are not arranged in a logical sequence and are scattered randomly across the graph. Option c also has a similar issue with random placement of points and does not reflect the actual values in the data set. Option d only has three points and does not represent the complete data set.

To learn more about coordinate plane here:

https://brainly.com/question/31180198

#SPJ1

Answer:

she can give one half of the liter to 12 friends if u do the math but if she's including herself, 11 but she isn't therefore 12 friends

Answer:

the answer is 12

The joint relative Frequency of students who do not like to run and enjoy swimming, based on the given two-way frequency table, is approximately 62.16%.

The joint relative frequency of students who do not like to run and enjoy swimming, we need to find the intersection of the row and column corresponding to those categories in the two-way frequency table.

Given the following information from the table:

Likes running: 28

Does not like running: 46

Column totals: 74

Enjoys swimming: 62

Enjoys cycling: 90

Row totals: 110

The joint relative frequency, we divide the number of students who do not like running and enjoy swimming by the total number of students:

Joint relative frequency = (Number of students who do not like running and enjoy swimming) / (Total number of students)

From the table, the number of students who do not like running and enjoy swimming is given as 46.

Total number of students is given as 74.

Joint relative frequency = 46 / 74

Calculating this value, we find that the joint relative frequency is approximately 0.6216, which is equivalent to 62.16%.

Therefore, the joint relative frequency of students who do not like to run and enjoy swimming is approximately 62.16%.

In conclusion, the joint relative frequency of students who do not like to run and enjoy swimming, based on the given two-way frequency table, is approximately 62.16%.

To know more about Frequency .

https://brainly.com/question/28821602

#SPJ8

Answer:

64

Step-by-step explanation:

\(\sqrt[3]{512} = 8\\8x8 = 64\)

we can use the formula

where F is the force, m the mass and a the acceleration

now, replacing

then solve for m

the mass is 19.05Kg

Answer:

Step-by-step explanation:

First, let us substitute x and y values: -7 = -2(-5) + 4

Next, let us simplify using the substitution property of equality: 14 = -7 (SEE BELOW MORE INFO).

Now, this does not make sense yet because 14 cannot possibly equal -7. Therefore, we must add a b value, therefore leading us to the equation:

14 + b = -7

by simplifying, we can conclude that b = -21

Finally, we can plug in the b-value into our original equation:

y = -2x + 4 - 21

After simplifying, we get y = -2x - 17. When this is graphed, we can see that -2x - 17 intersects (-5, -7).

To find arcsin, we need to use the identity:

sin(arcsin(x)) = x

Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:

sin(arcsin) = -sqrt(1 - (cos)^2)

where (cos)^2 = 8/17

Substituting, we get:

sin(arcsin) = -sqrt(1 - (8/17))

Simplifying, we get:

sin(arcsin) = -sqrt(17/17 - 8/17)

Simplifying further, we get:

sin(arcsin) = -sqrt(9/17)

Therefore, arcsin = -sqrt(9/17)

To find arctan, we need to use the identity:

tan(arctan(x)) = x

Substituting, we get:

tan(arctan) = -8/17

Therefore, arctan = -8/17

So, arcsin is -sqrt(9/17) and arctan is -8/17.

The required complete number consisting of root values has been shown.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
1.
√32 is an irrational number, which lies between perfect squares √25 and √36 so
√25 < √32 < √36
5 < √32 < 36

Similarly,
√90 lies between 9 < √90 < 10
√150 lies between 12< √150< 13

√420 lies between 20 < √420 < 21

Thus, the required complete number consisting of root values has been shown.

Learn more about number line here:

brainly.com/question/17683084

#SPJ1

Answer:

x = 19; y = 19√3

Step-by-step explanation:

sin 30° = opp/hyp

sin 30° = x/38

x = 38 × sin 30°

x = 19

cos 30° = adj/hyp

cos 30° = y/38

y = 38 × cos 30°

y = 38 × √3/2

y = 19√3

Answer:

Step-by-step explanation:

Answer:

\(l = \boxed{167.}\\w=\boxed{40.}\)

Step-by-step explanation:

Since the perimeter is 414 meters, half of the perimeter is 207 meters. We can write the following equation and solve for h.

\(w + l = 207\\w + (4w + 7) = 207\\5w +7 = 207\\5w = 200\\w = \boxed{40.}\)

Here, we substituted 4w + 7 in place of l as the problem tells us that the length of the pool is 7 meters more than 4 times the width. Solving for the width gave us 40 meters.

Using this information, we can determine that the length of the swimming pool is:

\(4(40) + 7 = 160 + 7 = 167.\)

To double-check that this is correct, we can add twice the length and twice the width to see if it equals the given perimeter:

\(167 + 167 + 40 + 40 = 414.\)

Therefore, your length and width of this swimming pool are:

\(l = \boxed{167.}\\w=\boxed{40.}\)

Answer:

Step-by-step explanation:

In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."

The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:

Introduction to Variables and Expressions:

Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.

Solving One-Step Equations:

Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.

Solving Two-Step Equations:

Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.

Writing and Graphing Linear Equations:

Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.

Systems of Linear Equations:

Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.

Word Problems and Applications:

Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.

The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.

By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.

Answer:

Jorge drives faster

Step-by-step explanation:

he drives faster because he took the shorter which made him go faster and they sometimes go the same amount of time which means that Zahara go's the same amount of time that they usually go and Jorge takes the shorter distance and made him go there faster. I hope you understand that.

Answer: Answer for question 4 is........ 53.

Step-by-step explanation: if her dad drives 159 miles in 3 hours you can get 53 by dividing like so,

  53

3|159

in conclusion your answer is 53

answer: answer for question 5 is......... the cost for batteries increased because they pay more than before hope this helps :)

Answer:

26

Step-by-step explanation:

first, substitute the value for x into the expression. since x = 6, you will be plugging in 6 for x.

4x + 2 ⇒ 4(6) + 2

simplify the expression, starting with 4 · 6.

4(6) + 2 ⇒ 24 + 2

then add 24 + 2.

24 + 2 ⇒ 26

aaaand your answer is 26! hope this helps. have a lovely day! <3

The sprinter will complete the race in approximately 17.07 seconds.

To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.

Acceleration Phase:

The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:

v = u + at

Here:

v = final velocity (which is the velocity at the end of the acceleration phase)

u = initial velocity (which is 0 since the sprinter starts from rest)

a = acceleration

t = time

Rearranging the equation, we have:

t = (v - u) / a

Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:

t = v / a

Plugging in the values, we get:

t = 25 m / 1.64 m/s²

Constant Velocity Phase:

Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:

t = d / v

Here:

d = distance

v = velocity

Plugging in the values, we get:

t = 75 m / (v)

Since the velocity remains constant, we can use the final velocity from the acceleration phase.

Now, let's calculate the time for each phase and sum them up to get the total race time:

Acceleration Phase:

t1 = 25 m / 1.64 m/s²

Constant Velocity Phase:

t2 = 75 m / v

Total race time:

Total time = t1 + t2

Let's calculate the values:

t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)

Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:

v = u + at

Here:

u = initial velocity (0 m/s)

a = acceleration (1.64 m/s²)

t = time (25 m)

Plugging in the values, we get:

v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s

Now, let's calculate the time for the constant velocity phase:

t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)

Finally, let's calculate the total race time:

Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)

Therefore, the sprinter will complete the race in approximately 17.07 seconds.

For such more questions on Sprinter Race Time Calculation

https://brainly.com/question/18963548

#SPJ8

Answer:

Either angle EDI or angle CDH

Step-by-step explanation:

Answer:

i did this last year in math but i think its angle EDI

Step-by-step explanation:

Answer:

(x-7)^2 + y^2 = 9

Step-by-step explanation:

Equation of a circle:

(x-h)^2 + (y-k)^2 = r^2

(x-7)^2 + (y-0)^2 = 3^2

(x-7)^2 + y^2 = 9

Answer:

$6.90

Step-by-step explanation:

$6 * .15 = $0.90

$6 + $0.90= $6.90

Answer:

$6.90

Step-by-step explanation:

6 x 1.15 = 6.9

= $6.90

The meaning of the y-intercept in this situation is ,

''For every additional mile the cab travels, the total fee increases by $12.00.''

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

From the table, we have the following parameters:

Points (x, y) = (2, 5) and (15.00, 19.50)

So, we would calculate the slope as follows:

Slope = (19.50 - 5)/(15.00 - 2)

Slope = 14.50/13

Slope = 1.11

Hence, We get;

Fixed fee = $15 - (1.12 x 2)

               = $15 - 2.24 ≈ $12.00

So, We get;

For every additional mile the cab travels, the total fee increases by $12.00.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1

Answer:

586.5 cents

Step-by-step explanation:

if one ounce costs 25.5 cents and the bag contains 23 oz, you multiple 25.5 by 23 to get 586.5

The calculated value of the probability of B is (c) 0.25

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

P(A or B) = 0.3

P(A and B) = 0.2

P(A/B) =0.8

First, we have

P(A/B) = P(A and B)/P(B)

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

0.2/P(B) = 0.8

So, we have

P(B) = 0.2/0.8

Evaluate

P(B) = 0.25

Hence, the probability of B is 0.25

Read more about probability at

https://brainly.com/question/31649379

#SPJ1

Answer:

1. 3x^3(x+5)(x-5)

2. (9c+4)^2

3. 3x^2 + 2x +5

4. (5x-9)^2=0

Step-by-step explanation:

The right side of the equation 9 - 3x +6+8 + 3x+7 can be simplified by combining like terms as: 30.

2(x - 5) can be simplified using the Distributive Property as: 2x - 10.

In Mathematics, the distributive property of multiplication states that when the sum of two or more addends are multiplied by a particular numerical value, the same result and output would be obtained as when each addend is multiplied respectively by the same numerical value, and the products are added together.

Next, we would combining like terms in the right side of the equation as follows;

9 - 3x +6+8 + 3x+7 = (9 + 8 + 6 + 7) + (3x - 3x)

9 - 3x +6+8 + 3x+7 = 30.

By applying the distributive property of multiplication to left side of the equation, we have:

2(x - 5) = 2x - 10.

Read more on equation here; brainly.com/question/12421589

#SPJ1

Answer:

C. 4x − 2 = 6

Step-by-step explanation:

Hope this helps :)

The equation which represents a linear as required in the task content is: y equals one fourth times x minus 1.

A linear function has one independent variable and one dependent variable in which case the degree of the equation is 1: meaning- the highest power of the variables is 1.

Conventionally, The independent variable in this regard is x and the dependent variable in this regard is y.

The required equation which represents a linear function is: y equals one fourth times x minus 1: \(y = \huge\text(\dfrac{1}{4}\huge\text )x - 1\)

Read more on linear function:

brainly.com/question/4025726

Answer: 7 feet

Step 1: Add the values of the sides we know the length of.

9 + 9 + 10 = 28.

Step 2: Subtract the number 28 from 35.

35 - 28 = 7

The answer is 7. Hope this helps!

Answer:

35 - 28 = 7

Step-by-step explanation:

7

Thanks bro...

Answer:

e^2v/2a^3y^7

Step-by-step explanation:

Answer:

\(24j -7\)

Step-by-step explanation:

Given

\(Savings \to\) j

Required

Express 7 less than 24 * j

First, we have:

\(24 * j = 24j\)

7 less is then expressed as:

\(24j -7\)

Answer:

0.04%

Step-by-step explanation:

To find a percentage, we want to create a ratio of a portion by the total.

Our portion is 2.

Our total is 5000.

Let's create the ratio by dividing the numbers.

2/5000

Divide.

= 0.0004

Multiply this by 100 to find the percentage.

0.04%

This is your answer.

Check your answer by plugging it into a percentage equation.

0.04/100 of 5000 = 2

0.0004 • 50000 = 2

2 = 2

Your answer is correct.

Hope this helps!