A teacher claims that the relationship between
number of hours studied for a test and test score can be
described by g(x) = 45 + 9x, where x represents the
number of hours studied. Graph this function

Answer: 51.33

Step-by-step explanation:

7+8.75+12.5+15.33+7.75 = 51.33

8x+y=31

perpendicular means the slopes are opposite reciprocals of each other.  perpendicular to: y +5= 8(x +4)   →   m = 8   m⊥ = -8

Input the slope (m⊥ = -8) and the point (x₁, y₁) = (4, -1) into the Point-Slope formula: y - y₁ = m(x - x₁)

y - (-1) = -8(x -4)

y + 1 = -8 x + 32      simplified

8x+y =31      

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Answer:

Step-by-step explanation:

1) Find the LCD and multiply what is missing: LCD (x)(14)

-1x/14x + 33/14x

2) Get rid of the denominators

-1x+33

-x+33

That should be right! Sorry if it isn't!

Answer: Continuous data

Step-by-step explanation:

Answer:

-3x>24

Step-by-step explanation:

-3x-10>14

now we add 10 to both sides, 10+14 is 24

so, the missing step is -3x>24

Answer:

48 because of the vowels it became 48 .

Step-by-step explanation:

I Quesliod. Make sure you start new workings. In the word grapefruit, the ratio of vowels to consonants is . Find the ratios of vowels to consonants in the words pineapple and strawberry. Give each ratio in its simplest form. grapefruit Vowels :Consonants  Remember: vowels are a, e, i, o, u

Answer:

The equivalent fraction of 6/9 is 4/6

We get the dimensions of the park as length = 75 feet and width = 20 feet.

We are given that:

A yard has a perimeter of 190 feet.

Also, four times the length of the yard equals 15 times the width.

Now,

Let the length of the yard be x.

ATQ, we get the width of the yard as:

15 width = 4 x

Width = 4 / 15 x

Perimeter = 2 ( l + b )

190 = 2( x + 4 / 15 x )

95 = 19 x / 15

19 x = 95 × 15

19 x = 1425

x = 1425 / 19

x = 75 feet.

Length = 75 feet

Width = 4 / 15 x = 20 feet.

Therefore, we get the dimensions of the park as length = 75 feet and width = 20 feet.

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By taking the measure of the given line segment and making arc on one of the end points from one point of the line segment and joining those three points will be the line as twice as the given segment.

Following are the steps to construct a line segment that is twice the given segment :

Step 1 : Take the compass and measure the length of the given line segment let’s say AB

Step 2 : Now with that measure put one end of the compass on one of the points of a line segment, either point A or point B.

Step 3 : Now mark an arc on the right side of the point if the compass is on point B or mark the arc on the left side if the compass is on point A.

Step 4 : Mark that arc as point C and join the line AC or BC.

Hence AC or BC will be the new line segment which will as twice as the given line segment.

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Answer:

The answer is 2.72 * 10^8 sec.

Step-by-step explanation:

Distance between Earth and Sirius is 5.062 * 10^13 miles.

Time taken = Distance travelled/speed

5.062*10^13 miles/sec/1.86*10^5 miles.

=2.72 * 10^8 sec.

So this means that the time taken to travel light from Sirius to Earth is 2.72*10^8.

Colton is approximately 3.9 feet apart from his  younger sister.

Pythagoras Theorem:

The statement o the Pythagoras theorem is, "if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. "

Then it can be written as,

BC² = AB² + AC²​​.

Where,

​​​​AB is the base,

AC is the altitude (height), and

BC is the hypotenuse.

Given,

Colton looks around at an assembly. he notices his younger sister to his right and his older brother 7 feet ahead of him.

And Colton's brother and sister are 8 feet apart.

Now, we need to find the distance between Colton and his younger sister.

Based on the given statement, we can draw their position like the following figure.

Here B represents the position of Colton, A represents the position of his older brother and C represents the position of his younger sister.

Now, we have to use the Pythagoras Theorem in order to solve it,

=> 8² = BC² + 7²​​.

=> 64 = BC² + 49

=> 64 - 49 = BC²

=> BC² = 15

=> BC = √15

Therefore,

=> BC ≈ 3.9 feet

Therefore, the distance between Colden and his younger sister is approximately 3.9 feet.

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Answer: Sometimes true

Step-by-step explanation:

This statement is sometimes true. If three planes intersect, then their intersection can be a line or a point.

Answer:  87/100

Step-by-step explanation:

Answer:

Step-by-step explanation:

A)

A - the population after its decrease

x - the number of years in which there has been a decrease in population

Hence,

[tex]\displaystyle\\A=30000-475x\\A+475x=30000-475x+475x\\A+475x=30000\\A+475x-A=30000-A\\475x=30000-A[/tex]

Divide both parts of the equation by 475:

[tex]\displaystyle\\x=\frac{30000-A}{475}[/tex]

B)

[tex]\displaystyle\\x=\frac{30000-24300}{475} \\\\x=\frac{5700}{475}\\\\x=\frac{12*475}{475} \\\\x=12\ years[/tex]

A : all real numbers

Answer:

A. All real numbers.

Step-by-step explanation:

Answer:

182.5

Step-by-step explanation:

182.5

steps

623420÷3416=

182.5

The number of students those who will most likely have their preference  to do their classwork online is 238 out of 350

According to the question statement, A teacher surveys a random group of students about their preference for doing classwork online or on paper.

17 Preferred Online and 8 Preferred on paper.

We are supposed to find the number of students who will most likely have their preference to do their classwork online.

We will be using the concept of Probability for solving this.

[tex]Probability(Event)=\frac{Favourable Outcomes}{Total Outcomes}[/tex]

Probability(Event) = Favorable Outcomes/Total Outcomes

For the survey probability of students preferring online mode of classwork is = [tex]\frac{17}{17+8} =\frac{17}{25}[/tex]

                     = [tex]0.68[/tex]

Now if we consider a group of 350 students and probability of students preferring online mode of classwork as 0.68

Let the number students preferring online mode of classwork be "x"

so  [tex]\frac{x}{350} =0.68[/tex]

or  [tex]x=0.68*350\\x =238[/tex]

Therefore, the number of students those who will most likely have their preference  to do their classwork online is 238 out of 350

where P(A) is the probability of an event “A”,  n(A) is the number of favorable outcomes and n(S) is the total number of events in the sample space.

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Answer:

42°, 101°

Step-by-step explanation:

These answers come from the angle subtraction postulate.

Multiplication is the opposite of division. When we multiply 4.15*3 we get 13.53.

Multiplication is one of the four basic arithmetic operations, alongside the addition, subtraction, and division. In math, multiply means the repeated addition of groups of the equal sizes.

The symbols for multiplication are cross (x), asterisk (*), and dot (.). You seem to utilize the cross a lot when you write in your notebooks. In both algebra and computer languages, the asterisk and dot are symbols (higher mathematics).

Commutative Property: According to this property, when we multiply two numbers, the result will not change depending on the order.

Associative property: It states that if we multiply three or more numbers consecutively, the order is irrelevant.

4.51

X   3

-----------

13.53

-----------

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The sum will be negative.

The product of two negative numbers is always positive and if we add two numbers, the sign of the greater number is used in the result.

Here, we are given an expression 4a + (-3b)

Also we are told that a < b and b is a negative number

Mow, since b is a negative number, (-3b) will always be positive. This is because the product of two negative numbers, here -3 and b, will always be positive.

Now, a can be positive or negative. If a is positive, the sum will always be positive. However, if it is negative, the sum can be either positive or negative.

Here, in fact, since a < b, a will always be negative only

Let us take an example, say a = -3 and b = -2

Then the sum becomes 4(-3) + (-3)(-2)

= -12 + 6

= -6

If we observe closely since a and be are both negative and a < b, in absolute terms a will always be greater than b since for negative numbers higher the value, smaller is the number.

Thus, we can conclude that 4a > (-3b) for all values of a and b

and since 4a will always be negative, the sum will also be negative.

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The number such that one-half of the number is three more than one-fourth of the number is 12.

It is given in the question that a number  is such that one-half of the number is three more than one-fourth of the number.

We have to find the number.

Let the number be x.

According to the question, we can write,

x/2 = x/4 + 3

Solving the linear equation, we get,

x/2 - x/4 = 3

(2x - x)/4 = 3

x/4 = 3

x = 4*3

x = 12

Hence, the number such that one-half of the number is three more than one-fourth of the number is 12.

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Answer: D

Step-by-step explanation: 2,6

Answer:

<STP

Step-by-step explanation:

Justin should have multiplied 3.8 and 7.9 first

He is trying to evaluate the expression 12.5 + 3.8x, when x = 7.9.

This was Justin solution to the expression

12.5 + 3.8(7.9)

16.3(7.9)

128.77

Now let's do our own arithmetic,

12.5 + 3.8x

we have to substitute the value of x in the equation.

12.5 + 3.8(7.9)

Using PEMDAS principle, we have to multiply before addition.

Therefore,

12.5 + 3.8(7.9)

12.5 + 30.02

42.52

Hence, Justin should have multiplied 3.8 and 7.9 first

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Using a linear function, we have that:

A linear function is modeled by:

y = mx + b

In which:

For this problem, when x increases by 10, the profit increases by 5, hence the slope is:

m = 5/10 = 0.5.

Then:

P(x) = 0.5x + b.

When x = 10, P(x) = -70, hence:

-70 = 0.5(10) + b

b = -75.

Hence:

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Answer:

fdsjfgdndgnxhñgjxgjxgjx

Answer:

the is X=4

Step-by-step explanation:

Distribute

5(x-6)+3= -7

5x-30+3= -7

add numbers

5x-30+3= -7

5x-27= -7

add 27 to both sides

5x-27= -7

5x-27+27= -7 + 27

simplfly

5x=20

divide both sides by 5

5x = 20

-- ----

5. 5

5 and 5 are off

divide 20 by 5

20/5= 4

therefore x= 4

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The length expression is 6 + w

The given parameters are:

Length =6 more than the width

Width = w

Perimeter = 60

Subsitute Width = w in Length =6 more than the width

This gives

Length =6 more than the w

More than mean +

So, we have

Length = 6 + w

Hence,  the length expression is 6 + w

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Answer:

16π m²

Step-by-step explanation:

area of circle = πr²

area = π × (4 m)²

area = 16π m²