Jason signed up to receive Internet service for $13 per month, plus a $30 start-up
fee. If
he has $134, how many months of internet can he receive?

Answer:

The value of b for the intersection of two lines at given points is 4

Step-by-step explanation:

Given as :

The two line equations are

y = 2 x + 7                ..........A

And

y = 2.5 x + b            ............B

Since, The two lines are intersecting at point  [tex]x , y[/tex] = - 6 , - 5

Now Solving equation A and B we get

2 x + 7 = 2.5 x + b

Or, 7 - b = 2.5 x - 2 x

Or, 7 - b = . 5 x

∵ intersecting points are x , y = - 6 , - 5

putting the value of y from points

i.e 7 - b = . 5 × ( - 6 )

Or, 7 - b = 3

Or, b = 7 - 3

∴  b = 4

So, The value of b = 4

Hence, The value of b for the intersection of two lines at given points is 4 Answer

The required value of x that satisfies the equation x/4 = -7 is x = -28.

To solve for x when x divided by 4 equals -7, we can follow these steps:

Start with the equation: x/4 = -7.

To isolate x, we want to get rid of the division by 4. We can do this by multiplying both sides of the equation by 4:

(4)(x/4) = (4)(-7).

The 4 on the left side cancels out with the 4 in the denominator, leaving us with:

x = -28.

Therefore, the value of x that satisfies the equation x/4 = -7 is x = -28.

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Final answer:

The value of x in the equation x divided by 4 equals -7 is -28. To find x, we multiply both sides of the equation by 4, resulting in x=-28. Substituting back into the original equation confirms the solution is correct.

Explanation:

To solve the equation x divided by 4 equals -7, we want to find the value of x. We can do this by performing the inverse operation of division, which is multiplication. So if x divided by 4 is -7, we can multiply both sides of the equation by 4 to solve for x:

x / 4 = -7
4 * (x / 4) = 4 * (-7)
x = -28

So, the value of x is -28. As a check, you can substitute -28 back into the original equation:

-28 / 4 = -7

Which simplifies to:

-7 = -7

This confirms that the solution is correct since it results in an identity, showing that the left side of the equation is equal to the right side.

Answer:

The equation of line M in slope intercept form is    [tex]y=\frac{3}{2}x+1[/tex]

The equation of line M in standard form is  [tex]3x-2y=-2[/tex]

Step-by-step explanation:

step 1

Find the slope of line M

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have the points

(2,4) and (0,1)

substitute

[tex]m=\frac{1-4}{0-2}[/tex]

[tex]m=\frac{-3}{-2}[/tex]

[tex]m=\frac{3}{2}[/tex]

step 2

Find the equation of the line M in point slope form

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=\frac{3}{2}[/tex]

[tex]point\ (0,1)[/tex]

substitute

[tex]y-1=\frac{3}{2}(x-0)[/tex]

[tex]y-1=\frac{3}{2}x[/tex] ----> equation in point slope form

step 3

Find the equation of line M in slope intercept form

[tex]y=mx+b[/tex]

Isolate the variable y in the equation of the line in point slope form

[tex]y-1=\frac{3}{2}x[/tex]

Adds 1 both sides

[tex]y=\frac{3}{2}x+1[/tex]

step 4

Find the equation of the line M in standard form

[tex]Ax+By=C[/tex]

where

A is a positive integer

B and C are integers

we have

[tex]y=\frac{3}{2}x+1[/tex]

Multiply by 2 both sides

[tex]2y=3x+2[/tex]

[tex]3x-2y=-2[/tex] ---> equation in standard form

Final answer:

The equation of line m that contains the points (2, 4) and (0, 1) is found by calculating the slope which is 3/2, and using the y-intercept which is 1. The final equation of the line m is y = (3/2)x + 1.

Explanation:

To find the equation of line m in the xy-plane that contains the points (2, 4) and (0, 1), we first need to calculate the slope of the line. The slope m is calculated as the rise over the run. For our points, the slope can be found by the formula:

m = (y2 - y1) / (x2 - x1)

So,

m = (4 - 1) / (2 - 0) = 3 / 2.

Next, we use one of the points and the slope to find the y-intercept (b). Using the point (0, 1), we plug these values into the equation for a straight line y = mx + b:

1 = (3/2) × 0 + b

Therefore, b = 1.

The equation of line m is y = (3/2)x + 1.

Answer:

-12s^2 + 11st - 2t^2

Step-by-step explanation:

The best approximation for the measure of angle ABC is 58.3° ⇒ 3rd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the angle BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

In Δ ABC

∵ ∠ BCA is a right angle

∴ The hypotenuse is AB

∵ The adjacent side to ∠ABC is BC

∵ AB = 20 centimeters

∵ BC = 10.5 centimeters

- Use cosine ratio to find the measure of the angle because you

   have the adjacent side of the angle ABC and the hypotenuse

∵ m∠ABC is x

∵ [tex]cos(x)=\frac{BC}{AB}[/tex]

∴ [tex]cos(x)=\frac{10.5}{20}[/tex]

- To find x use the inverse of cos(x)

∵ [tex]x=cos^{-1}(\frac{10.5}{20})[/tex]

∴ x = 58.33°

∴ m∠ABC = 58.33°

The best approximation for the measure of angle ABC is 58.3°

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The best approximation for the measure of angle ABC is 31.7°.

To find the measure of angle ABC (x), we can use trigonometric ratios. Since angle BCA is a right angle, we can use the sine function, which relates the opposite side to the hypotenuse in a right-angled triangle.

Let's denote the sides of the triangle as follows:

BC is the opposite side to angle ABC, with a length of 10.5 cm.

AB is the hypotenuse, with a length of 20 cm.

AC is the adjacent side to angle ABC.

Using the sine function, we have:

[tex]\[ \sin(x) = \frac{\text{opposite side}}{\text{hypotenuse}} = \frac{BC}{AB} \][/tex]

[tex]\[ \sin(x) = \frac{10.5}{20} \][/tex]

[tex]\[ \sin(x) = 0.525 \][/tex]

Now, we need to find the angle whose sine is approximately 0.525. Using a calculator or trigonometric tables, we can approximate the angle x. The angle whose sine is approximately 0.525 is about 31.7°.

The correct answer is; Slings should be inspected before each use.

Further explanation:

Prior to starting the workday, each sling should be visually inspected by the operators. The slings need to be inspected for stretching, gouges, and excessive wear. Also, any nicks in the sling should be checked for. If any of these things are on the slings, the sling needs to be taken out of service immediately. This should be done before starting work.

There are six different types of chains that are used, they are;

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The correct statement about slings is that they should be inspected before each use. Damaged slings should be removed immediately, not at day's end. Alloy steel chains aren't impervious to damage.

Out of the given options, the true statement about slings is that 'Slings should be inspected before each use'. To ensure the safe operation of a sling, it's crucial to examine it for any damages or wear and tear before every use.

Slings are typically used to lift or move heavy objects, and any damages can lead to accidents or equipment failure. On the other hand, the statement about alloy steel chains is incorrect as they are not impervious to damage.

Lastly, damaged slings should not be waited until the end of the day to be removed from service, they should be removed immediately upon discovering the damage.

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Answer:

Parallelogram

Step-by-step explanation:

This diagram shows that the opposite sides of the figure are equal.

The quadrilateral is Parallelogram.

A quadrilateral is a polygon having four sides, four points, and four vertices. The Latin words "quad," which means four, and "latus," which means side, are the source of the term "quadrilateral."

There are four basic types of quadrilaterals: parallelograms, squares, rectangles, and rhombuses. Parallelograms include the square, rectangle, and rhombus as well.

Given a quadrilateral,

in which opposite sides are parallel to each other,

the given figure shows opposite side are parallel to each other, so

according to definition of Parallelogram: The opposite sides of a parallelogram are parallel and of equal length. Additionally, opposite angles are equal.

Hence the Given  quadrilateral is Parallelogram.

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Answer:

125

Step-by-step explanation:

2375/19

Answer:

x = 20

Step-by-step explanation:

The two angle are a linear pair. Their measures has a sum of 180 deg.

2x + 140 = 180

2x = 40

x = 20

Here is the equation representing Rick's score:

17 + r = 45

Solving for r, we get r = 45 - 17.

So, what is 45 - 17?

49 seventh grade students are trying out for the team.

Step-by-step explanation:

Given,

Total students at tryouts = 75

Percent of seventh grade students = 65%

Number of seventh grade students = [tex]\frac{65}{100}*75[/tex]

Number of seventh grade students = 0.65*75

Number of seventh grade students = 48.75

Rounding off to near whole number

Number of seventh grade students = 49

49 seventh grade students are trying out for the team.

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Answer:a

Step-by-step explanation:

a

Answer:

20%

Step-by-step explanation:

x= 400000/2000000*100

x=20

Answer:

Both accounts will have $450

Step-by-step explanation:

Tina y= 25x+220

Cliff y= 35x+100

we can use substitution to solve this problem so the formatting would be:

25x+220=35x+100

subtract 25x from both sides

220=10x+100

Subtract 100 from both sides

120=10x

Divide both sides by 10

12=x

now that we have an x value we can plug it into either equation.

y=100+35(10)

y=100+350

y=450

Answer:

24 cm

Step-by-step explanation:

Using the formula for a right cylinder: V = (pi)(r^2)(h) you can plug in the numbers provided

384(pi) = (pi) × (4^2) × h

<solve for h>

384(pi) = (pi) × (16) × h

<divide by 16pi>

24 = height

Answer:

24 = h

Step-by-step explanation:

V = πr²h

384π = π(4)²h

384π = 16πh

24 = h

Option D is correct.

Answer:

-13

Step-by-step explanation:

add two but put a negative .

Answer:

197+413

=197+413

=610

Step-by-step explanation:

this is how i was taught

The circumference of the vase is 18.84 inches.

Step-by-step explanation:

The circumference of the cylinder is same as the circumference of its base.

Moreover, the base of the cylinder is actually a circle.

So we need to find the circumference of the circle to find the circumference of the cylinder.

From the given figure, we know that the diameter of the base d= 6 inches.

∴The formula for the circumference of the circle = 2πr or dπ.

⇒ circumference = 6×3.14.

                             = 18.84.

So the circumference of the circle is 18.84 inches.

∴The circumference of the cylindrical vase is also 18.84 inches.

Answer:

The smaller number is 22

The larger number is 30

Step-by-step explanation:

L + S = 52

L = S + 8

Set both equations equal to L.

S + 8 = -S + 52

+S        +S

2S + 8 = 52

     - 8    - 8

2S = 44

S = 22

To find the larger number, plug 22 in as S into the equations.

L = 30

Final answer:

The two numbers are 22 and 30, with the smaller number being 22 and the larger one being 30 (which is 8 more than the smaller number).

Explanation:

The sum of two numbers is 52, and the larger number is 8 more than the smaller number. Let's denote the smaller number as x and the larger number as x + 8. The equation to represent their sum is:

x + (x + 8) = 52

By combining like terms, the equation simplifies to:

2x + 8 = 52

Subtract 8 from both sides of the equation to isolate the term with x:

2x = 44

Divide by 2 to solve for x:

x = 22

Now that we have the value of the smaller number, we can find the larger number:

x + 8 = 22 + 8 = 30

So, the two numbers are 22 and 30.

Answer: Set A

Step-by-step explanation:

Because both x and y have to have a even number.

Example: (1,2) (2,4)...ect

Answer:

Therefore the inspector can perform three tests in 35 different ways.

Step-by-step explanation:

i) It is given that there is a total of seven tests that the inspector can perform.

ii) it is also given that the inspector needs to select or choose three tests only out of the seven.

iii) therefore this is a Combination problem.

iv) therefore the number of combinations or selections possible is given by

   [tex]\binom{7}{3} = \frac{7!}{(3!)(7 - 3)!} = \frac{7!}{(3!)(4!)} = \frac{42 \times 120}{6 \times 24} = \frac{42 \times 20}{24} = \frac{21 \times 10}{6} = \frac{7 \times 10}{2} = 35[/tex]

Therefore the inspector can perform three tests in 35 different ways.

Answer:

The answer is A

Step-by-step explanation:

Answer:

The answer is A. 35 degrees

Step-by-step explanation:

The triangle has to measure up to 180 degrees

add the 2 known angles together

105 + 40 = 145

Subtract the total from 180

180-145= 35

the missing angle is 35

Check Answer:

to check your answer add up all the angle measurements

your total should add up to 180

35 + 40 + 105 = 180

Answer:ok boomer

Step-by-step explanation:

Answer:

a. Jake told the negative value of the expression which cannot be equivalent to the original expression.

b. 10 - [tex]$ \frac{\textbf{3}}{\textbf{7}} $[/tex] g

Step-by-step explanation:

a. The given expression is: [tex]$ \frac{-3}{7}g + 10 $[/tex]

Multiplying through out by -, we get:

[tex]$ - 10 + \frac{3}{7}g $[/tex] which was the expression given by Jake. Since, it is the negative of the original one, they cannot be equivalent.

b. [tex]$ -\frac{3}{7}g + 10 = 10 - \frac{3}{7}g $[/tex]

[tex]$ = \frac{70 - 3g}{7} $[/tex]

Hence, the answer.

Answer:

24ml

Step-by-step explanation:

First, calculate the amount needed in mg for each day.

The rate given for each dose is 150mg every 6 hours. Since there are 24 hours in a day, divide the number of hours in a day by how often to give the medication to get the number of doses each day.

24 hours ÷ 6 hours = 4 doses daily

The total mg each day is the number of doses daily multiplied by the amount in each dose.

4 doses daily X 150 mg = 600mg daily

Calculate how many mg of medication are in 1 ml given by the pharmacy.

75mg ÷ 3ml = 25mg/ml

Divide the mg of medication daily by the concentration the pharmacy dispenses.

600 mg daily ÷ 25mg/ml = 24ml

You will administer 24ml daily.

Check by doing these steps backwards:

24ml per day gives 600 mg of medication because there are 25mg per 1 ml. 24ml X 25mg = 600mg

Each day you need to administer 150mg X (24h ÷ 6h) of medication.

150mg X 4 = 600mg, which is the correct amount.

Answer:

should be a

Step-by-step explanation:

The probability that Mark draws a yellow marble and then a green marble is 1/9.

To find the probability that Mark draws a yellow marble and then a green marble, we first need to find the total number of marbles in the bag. The bag contains 4 green marbles, 3 red marbles, and 2 yellow marbles, so the total number of marbles is 4 + 3 + 2 = 9.

Since Mark draws without replacement, the probability of drawing a yellow marble first is 2/9. After drawing a yellow marble, there are now 1 yellow marble and 8 total marbles left in the bag, so the probability of drawing a green marble second is 4/8, or 1/2.

To find the overall probability, we multiply the probabilities of the individual events. Therefore, the probability that Mark draws a yellow marble and then a green marble is (2/9) * (1/2) = 1/9.

Answer:

Quadrent One Two Three and Four

Step-by-step explanation:

The x- and y-axes divide the coordinate plane into four regions, called quadrants, named Quadrant I, II, III, and IV. They are numbered counterclockwise, with different quadrants containing points with different combinations of positive and negative x- and y-values.

The x- and y-axes of the coordinate plane divide the entire plane into four regions. These regions are known as quadrants. They are named as Quadrant I, Quadrant II, Quadrant III, and Quadrant IV.

The quadrants are numbered in a counterclockwise direction. Quadrant I, on the top right, contains all points with positive x- and y-values. Quadrant II, on the top left, contains all points with negative x-values and positive y-values. Quadrant III, on the bottom left, contains all the points with negative x- and y-values.

Last, Quadrant IV on the bottom right contains all the points with positive x-values and negative y-values.

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Answer:

400

Step-by-step explanation:

1 meter = 100 centimeters

8/2 = 4

4 x 100 = 400

Answer:

Step-by-step explanation:

1 meter = 100 centimeters.....so 2 meters = 200 cm

split into 8 equal pieces....200 / 8 = 25 cm <=== each piece is 25 cm