Use Prime Factors to find the lcm
14. 6,15
15. 8,14
16. 28,8
17. 24,36
18 25,15
Grade 8 Math

The equation of line containing vertices (8,4) is y = 4.

Y = mx+b, where m is the slope and b is the y-intercept, is the formula for the slope-intercept form (the point where the line crosses the y-axis). Using y=mx+b to graph a line is typically simple. The standard form and the point-slope form are other formats for linear equations.

Equation of line in slope - intercept form is

y = mx + c

where m= slope

c = y - intercept

As it is given that equation of line is horizontal,

this implies

x = 0

y = m (0) + c

y = c

Now, the given coordinates are (8,4)

Slope of the equation equals 0 As the line is horizontal.

⇒ y = 0 (8) + 4

⇒ y = 4

To learn more about equation of line in slope - intercept form from given link

https://brainly.com/question/11451899

#SPJ10

The probability of randomly selecting a student who spent the money, given that the student was given four quarters is 0.7. The  probability of randomly selecting a student who kept the money is 0.3.

1. Probability of student who spent the money

Probability = 28 / (28 +12)

Probability = 28 / 40

Probability = 0.7

2. Probability of student who kept the money,

Probability = 12 / (28 +12)

Probability = 12 / 40

Probability = 0.3

3. The preceding results suggest : d) A student given four quarters is more likely to have spent the money.

Therefore the probability is 0.7 and 0.3.

Learn more about probability here: https://brainly.com/question/24756209

#SPJ1

Answer: D = 39, D = -12 + 51

Step-by-step explanation:

1) Write an equation based off the prompt

D = -12(Spent cash) + 51(Remaining cash)

2) Solve D

D = 39

The range of the given data set is 18.

What is range in statistics?
The difference between the highest and lowest values for a given data collection is the range in statistics. As a result, the range may alternatively be thought of as the distance between the highest and lowest observation. The range of observation is the name given to the outcome. Statistics' range reflects the variety of observations. In statistics, we must put the given values, set of data, or set of observations in ascending order in order to determine the range. That indicates that you should start by writing the observations from lowest to highest value. The formula must now be used to determine the range of observations, which is:
Range = Highest Value – Lowest Value = Highest observation – Lowest observation = Maximum value – Minimum Value

Given, the data set is 79, 91, 76, 87, 93, 79,94.
The data in ascending order is : 76, 79, 79, 87, 91, 93, 94.
From the data set, highest value = 94, lowest value = 76
Thus, Range = Highest value - Lowest value = 94 - 76 = 18
Therefore, range of the given data set is 18.

To learn more about range in statistics tap on the link below:
https://brainly.com/question/745773

#SPJ9

The value of h is 13.3 cm

Let the triangle be ABC where

AB = 18 cm

AC = h cm

∠ABC = 48°

Since, ∠ACB = 90°, therefore the given triangle is a right angle triangle.

We know that

Sinθ = Perpendicular / Hypotenuse

Put θ = 48, we get

Sin 48 = [tex]\frac{h}{18}[/tex]

The value of Sin 48 is 0.74

0.74 × 18 = h

h = 13.3 cm

Therefore the value of h is 13.3 cm

Know more about Right angle triangle: -https://brainly.com/question/20628951

#SPJ9

Answer:

109.1 and 70.9 are supplementary angles

Step-by-step explanation:

The measure of an angle is 70.9°. What is the measure of its supplementary angle?

Supplementary angles are two angles that sum together to 180 degrees:

180 - 70.9 = 109.1 degrees

The given limit has its value as 2/3.

The most important calculus rule is known as the L' Hospital's Rule (L'Hôpital's rule). With the help of derivatives, this rule assesses limits involving indeterminate forms. The L'Hospital rule is a general method for evaluating indeterminate forms like∞ / ∞  or /. Calculus derivatives' limits for indeterminate forms are determined using L'Hospital's rule. The L Hospital rule can be applied numerous times.

This guideline recommends differentiating the numerator and denominator by an equal number of times until the confusing or problematic phrase is eliminated for easy understanding.

Since the limit is of the 0/0 type when both the numerator and denominator have h=0, the L Hospital rule can be applied in this situation.

Once the numerator has been differentiated, we obtain Numerator = 2((1/3) + h)

Once the denominator has been differentiated, we obtain Denominator = 1.

As a result of the denominator's complicated factor being eliminated, the limit can now be set.

As a result, the limit at h = 0 has a value of = 2((1/3) + 0)]/1 = 2/3.

As a result, when h=0, the value of the stated limit is 2/3.

To learn more about L Hospital rule tap on the link below:
https://brainly.com/question/24116045
#SPJ10

The expression equivalent to 3(−2.4s − 3.8) is -7.2s - 11.4

An expression is said to be algebraic if it contains integer variables, constants, and algebraic operations ( subtraction, addition, multiplication, exponentiation by an exponent that is a rational number and division )

By using multiplication we can see that the expression  3(−2.4s − 3.8) is equivalent to the expression -7.2s - 11.4.

Now let us solve the other problems.

1. total cost of 3 friends = 9.73 × 3 = 29.19

cost of jalapeno poppers = 29.19 - 19.95 = $ 9.24

2. The required expression is -6/7k -7 + 5 + 1/2k = 5 over 14 times k plus negative 2

4.The expression for the dessert is : 3(10.35) + d = 43.05; d = 12.00

5. Expression is equivalent to 3(−4.5b − 2.1) − (6b + 0.6) is −19.5b − 6.9

Hence the requires expression is given by -7.2s - 11.4

To learn more about expression visit:

brainly.com/question/14083225

#SPJ1

The expression equivalent to 3(−2.4s − 3.8) is -7.2s - 11.4 might as well just answer thx for the points :)

Since the given equation is

Since (-3, 2) is its solution which means the graphs of each side are intersected at point (-3, 2)

To verify the solution, substitute x by -3 on each side

If the two sides are equal, then the point is the solution to it

Let us do the same with the right-hand side

L.H.S = R.H.S = 10

This means the value of y = 10, not 2

Then (-3, 2) is not a solution of the given equation

Now we will draw each side, then find the point of intersection between them

From the graph, the solutions are the intersection points between the line and the graph

The two points are (-3, 10) and (2, 5)

Explanation

We are given the following:

We are required to determine the converse, inverse, and contrapositive statements of a conditional statement and also determine whether the statement is true or false.

This is achieved thus:

We know that if P and Q are two simple statements, then

Implication (Conditional): P → Q

Converse: Q → P

Inverse: ~ P → ~ Q

Contrapositive: ~ Q → ~ P

We also know that an implication is false if the antecedent is true and the consequent is false.

Therefore, we have:

ive n statement: I

Let P: A toy block is a clover

Let Q: A toy block is red.

The given statement is true. This is because both statements are true.

Converse: If a toy block is red, then the toy block is a clover.

This statement is false. This is because it is not true for all cases.

Inverse: If a toy block is not a clover, then the toy block is not red.

This statement is true.

Contrapositive: If a toy block is not red, then the toy block is not a clover.

This statement is true.

Hence, the answers are:

Answer:

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

Answer:

1) 81/ 64

2)DNE(undefined), and

3)529/64

Step-by-step explanation:

1) 8√x + 7 = 16

8√x = 16 - 7 = 9

√x  = 9/8

x = (9/8 )² =  81/ 64

2) √7x+4−3=0

√7x + 1 = 0

√7x =  -1

as the square root is always positive, it is impossible.

3)  8√5x−7=16

8√5x = 16 + 7 = 23

√5x = 23/8

5x = (23/8)²  =  529/64

To learn more Extended Square Root  problems refer:

https://brainly.com/question/28843838

#SPJ13

Explanations:

8 - ( -3d + 2)

Open up the brackets:

The negative (-) sign outside the bracket will multiply both -3d and 2 one by one.

The equation then becomes:

8 + 3d - 2

Collect like terms:

8 and 2 are similar, they can come together. The equation becomes

8 - 2 + 3d

6 + 3d

Note that 3 is a common factor of 6 and 3, the equation finally becomes:

3 ( 2 + d)

Consider the given expression,

The expression can be transformed as,

Since 7 is a common factor, take it as common,

Thus, the expression is obtained that,

Therefore, option (B) is the correct choice.

Answer:

C

Step-by-step explanation:

Let f(y)=x.

[tex]x=\frac{1}{3}-\frac{1}{21}y \\ \\ x-\frac{1}{3}=-\frac{1}{21}y \\ \\ y=-21x+7 \\ \\ f^{-1}(x)=-21x+7[/tex]

Answer:

45

Step-by-step explanation:

We can see that point S is at (2,4), therefore we have to move the point five units down in order to place the point S at (2,-1). The answer would be option C. 5 units.

The inequality is represented by x<40

An inequality compares two values and indicates whether one is lower, higher, or just not equal to the other.

A B declares that a B is not equal.

When a and b are equal, an is smaller than b.

If a > b, then an is bigger than b.

The phrase "a b" denotes that an is less than or equal to b.

When a and b are equal, it is said that an exceeds b.

Let the employees of the company be denoted by x.

So, as given the employees work less than 40 hours.

Thus the inequality can be represented as x< 40.

To know more about inequality visit:

https://brainly.com/question/11612965

#SPJ10

Answer: y=3/2x-27.5

Step-by-step explanation:

you use y=3/2x+b

So plug (13,-8) in the equation so,

-8=3/2(13)+b

-8=39/2+b

-27.5=b

So y=3/2x-27.5

Pls give brainliest

Object dilation for image 1 is 30 cm, image 2 is 21 cm, image 3 is 8 cm, and image 4 is 2 cm.

Dilation is a conversion, which is utilized to resize the thing. Dilation is operated to create things bigger or shorter.

For image 1, Dilation for the given side of polygon A is 10 × 3 = 30cm for polygon B.

Therefore, the dilation for the unknown side of polygon B would be 15 × 3 = 45cm.

For image 2, The dilation for the given side of triangle A is 7 × 3 = 21cm for triangle B.

Therefore, the dilation for the unknown side of triangle B would be 18 ÷ 3 = 6cm for triangle A.

For image 3, Dilation for the given side of triangle A is 12 × 4 = 48cm.

Therefore, the dilation for the unknown sides would be 32 ÷ 4 = 8cm for the left side of triangle A and 8 × 4 = 24 for the right side of triangle B.

For image 4, The dilation for the given side of square A is 2 × 2 = 4cm in square B.

Therefore, the dilation for the unknown side of square A would be 4 ÷ 2 = 2cm for square A.

Learn more about object dilation at

https://brainly.com/question/24278364?referrer=searchResults

#SPJ1

Three statements are correct and ∠FDE and ∠EDC are supplementary angles .

What is an example of a supplementary angle?

A) True, ∠BDF and ∠FDE are making linear pair .

C) True, ∠FDE and ∠EDC are supplementary angles .

D) True, ∠ABG and ∠GBD are complementary angles.

Learn more about supplementary angles

brainly.com/question/13045673

#SPJ13

The slope of a straight line is given by the following expression:

By looking at the graph we have two locate two pairs of coordinates: Coordinate 1 (2,0) Coordinate 2 (-4,0).

Now we replace on the slope formula, having:

Pair of coordinates, coordinate 1 (2,0) coordinate 2 (3,2)

When a molding is randomly selected from the early morning run of a random day, what is the probability that it is defective is 0.1051

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Probabilities can be written as percentages with values between 0 and 1.

From the information, the foreman for an injection-molding firm admits that on 29% of his shifts, he forgets to shut off the injection machine on his line.

The probability that the selected molding is defective will be:

= P(forgets to shut off and defective molding) + P(not fingers to shut off)

= 29% × 24% + (1 - 29%) × 5%

= 0.29 × 0.24 + 0.71 × 0.05

= 0.0696 + 0.0355

= 0.1051

The probability is 0.1051.

Learn more about probability on:

brainly.com/question/25870256

#SPJ1

Answer:

n=2.2

Step-by-step explanation:

1-Combine- [-6.5n(n-5)=18.2

-13(n-5)/2=18.2

2-Distribute-13n-5)/2=18.2

-13n+65/2=18.2

3-Multiply like terms-

-13n+65/2=18.2 [tex]2.-13n+65/2=18.2*2[/tex]

4-Multiply all the numbers=[tex]-13n+65=36.4[/tex]

5-Subtract 65 from both sides- -13n+65-65=36.4-65

6-Simplify= -13n=-28.6

7- Divide both sides by the factor e.g= -13n

8- Simplify= -13n/-13n=-28.6/-13n

QA Answer\Solution amounts to= [tex]2.2[/tex]

Answer:

corresponding!!!!!!

Step-by-step explanation:

Corresponding angle is an angle that are one the same side of the transversal lines :))

Hope this helps!!!

The domain of a function is the set of all x-values the function can take.

Since we have a radical symbol, (x² - 1) must not be equal to a negative number because it will make the function undefined.

For the function (x² - 1), the value of x must be greater than 1 or less than -1 in order for the function to be defined.

If for instance, the value of x is 0.5, the value of (x² - 1) will be -0.75 and the square root of a negative number is undefined. Therefore, we must not have an x-value that is less than 1 or greater than -1.

Hence, the domain of this function in interval notation is:

In set notation, it is {x|x ≤ -1, x ≥ 1}.

In order to graph the function, let's assume some values of x that are found in the domain.

For the domain, x ≤ -1, we can assume x = -1, x = -2, and x = -3.

At x = -1, y = 1.

At x = -2, y = 3.73

At x = -3, y = 5.83.

For the domain x ≥ 1, we can assume x = 1, x = 2, and x = 3.

At x = 1, y = -1.

At x = 2, y = -0.268

At x = 3, y = -0.172.

Let's plot the 6 coordinates. The graph of this function, with limits indicated, is shown below.

There are 4 ounces of lime juice in 52 ounces of punch, let represent the number of ounces of lime juice in 130 ounces of punch, there are 1690 ounces of the lime juice in 130 ounces of punch.

A number of distinct units of mass, weight, or volume are derived from the uncia, an ancient Roman unit of measurement, including the ounce, which is almost unmodified.

'Ounce' is also used in the following other contexts:

A unit of the force is the ounce-force (see below).

A unit of the volume is the fluid ounce.

A multitude of distinct ounces measuring mass or volume have been employed historically by various trades at various times and in various countries.

Since,

Ounces of the lime juice=4

Ounces of the punch=52

Ounce needed for 1 punch=52÷4=13

Ounces needed for 130 ounces of the punch=13×130=1690

Therefore, the ounces of the lime juice needed for 130 ounces of punch=1690.

To know more about ounce visit: https://brainly.com/question/26950819

#SPJ9

Answer:-15y+-16z+4

Step-by-step explanation:

-y-16y+9z-25z+4

-15y+-16z+4