8 = 8 (v - 5) is the solution 6 or -10 or -1 or 2 or is none of them the solution

Answer:

x^2 + 2x - 6.

Step-by-step explanation:

(f + g)x

= f(x) + g(x)

= 2x + 1 + x^2 - 7

= x^2 + 2x - 6.

Equation of the line through the given pair of points.(-7,-1) and (-2,-8) is

5y ++7x = -54

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system. The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line. Any line's equation can be used to determine whether a given point is on the line or not. A linear equation with a degree of one is the equation for a line.

general equation of line is

[tex](y_{} -y_{1})=\frac{y_{2} -y_{1}}{x_{2} -x_{1}} (x_{} -x_{1})[/tex]

here [tex]x_{1} is -7 \\ y_{1} is -1[/tex]

y +1= [tex]\frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex](x+7)

y +1= [tex]\frac{-7 }{5 }[/tex](x+7)

5y +5 = -7x -49

5y ++7x = -54

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The most appropriate choice for r=fraction is  [tex]\frac{3}{22}[/tex].

Suppose there is a collection of objects and a part of the collection are taken. Fraction represents that part of the object which are taken. In other words it can be said that fraction represents part of a whole collection of objects.

The upper part of the fraction is called numerator and the lower part of the fraction is called denominator of the fraction

Here,

Product of [tex]-\frac{1}{4}[/tex] and [tex]-\frac{6}{11}[/tex] =

[tex]-\frac{1}{4} \times -\frac{6}{11}\\= \frac{3}{22}[/tex]

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Answer:

162.5

Step-by-step explanation:

You can set up a proportion

[tex]\frac{vw}{st}[/tex] = [tex]\frac{tr}{wu}[/tex]  plug in the numbers that you know and solve for vw

[tex]\frac{vw}{65}[/tex] = [tex]\frac{40}{16}[/tex]

I would simply [tex]\frac{40}{16}[/tex]  by dividing the numerator (top) and the denominator (bottom) by 8 to get [tex]\frac{5}{2}[/tex] which would be easier to work with

[tex]\frac{vw}{65}[/tex] = [tex]\frac{5}{2}[/tex]  Cross multiply

2vw = 5(65)

2vw = 325  Divide both sides by 2

vw = 162.5

Answer:I think you should multiply by who many

Step-by-step explanation:

so 2.19x and 2.99x

Answer: 72 degrees

Step-by-step explanation: We know that angle DHG and angle EHF are congruent due to the vertical angles theorem. Since these two angle measures are congruent, this also means that the expression 6(x-2) is congruent to 3x+30. To find the angle measure of DHG, we need to find x. We can set these two expressions equal to each other and solve for x.

6(x-2) = 3x+30

6x-12 = 3x + 30

-3x -3x

3x-12=30

+12 +12

3x=42

~divide by 3 on both sides~

x = 14

Now that we know our x variable, we can substitute 14 into the expression for angle DHG.

6(14-2)

6(12)

72.

Answer:

∠DHG = 72°

Step-by-step explanation:

As ∠DHG and ∠EHF are vertical angles, they are congruent.

What are vertical angles?

Vertical angles are formed when two lines intersect, creating opposite angles. Those opposites are congruent (equal).

Equation:

∠DHG = ∠EHF

[6(x - 2)] = (3x + 30)

Step 1: Distribute 6 through the parentheses.

[tex]\implies 6(x) + 6(-2) = 3x + 30[/tex]

[tex]\implies 6x - 12 = 3x + 30[/tex]

Step 2: Subtract 3x from both sides.

[tex]\implies 6x - 3x - 12 = 30[/tex]

[tex]\implies 3x - 12 = 30[/tex]

Step 3: Add 12 to both sides.

[tex]\implies 3x - 12 + 12 = 30 + 12[/tex]

[tex]\implies 3x = 42[/tex]

Step 4: Divide both sides by 3.

[tex]\implies \dfrac{3x}{3} = \dfrac{42}{3}[/tex]

[tex]\implies \boxed{x = 14}[/tex]

Step 5: Substitute the value of x into ∠DHG to find its measure.

[tex]\implies \angle DHG = 6(14 - 2)[/tex]

[tex]\implies \angle DHG = 6(12)[/tex]

[tex]\implies \angle DHG = \boxed{72^\circ}[/tex]

Therefore, the measure of ∠DHG is 72°.

The characteristics that describe the following data-set are given as follows:

Categorical and bivariate.

First, we classify the variable as either numerical or categorical, as follows:

In the context of this problem, the variables are as follows:

Thus the variable is categorical.

Additionally, there are two variables in this problem, the ones stated above, the type of service and the age, hence the data set is classified as bivariate.

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There are 21 televisions.

Class 1077-1136:

The frequency is how many of them cost in this range.

There is 1.

So frequency: 1

Relative frequency is 1/21 = 0.0476

Cumulative frequency is the previous cumulative plus the relative:

Previous cumulative: 0

Relative: 0.0476

Cumulative = 0 + 0.0476 = 0.0476

Class 1137-1196:

6 in this interval.

Frequency: 6

Relative frequency: 6/21 = 0.2857

Previous cumulative: 0.0476

Relative: 0.2857

Cumulative = 0.0476 + 0.2857 = 0.3333

Class 1197-1256:

7 in this interval.

Frequency: 7

Relative frequency: 7/21 = 0.3333

Previous cumulative: 0.3333

Relative: 0.3333

Cumulative: 0.3333 + 0.3333 = 0.6666

Class 1257-1316:

2 in this interval.

Frequency: 2

Relative frequency: 2/21 = 0.0952

Previous cumulative: 0.6666

Relative: 0.0952

Cumulative: 0.6666 + 0.0952 = 0.7618

Class 1317-1376:

2 in this interval.

Frequency: 2

Relative frequency: 2/21 = 0.0952

Previous cumulative: 0.7618

Relative: 0.0952

Cumulative: 0.7618 + 0.0952 = 0.857

Class 1377-1436:

3 in this interval.

Frequency: 3

Relative frequency: 0.143

Previous cumulative: 0.857

Relative: 0.143

Cumulative: 0.857+0.143 = 1

The length of the sides (8in, 15 in, z) into the Pythagorean Theorem. Then, find the length of the missing side z.

z = 17

This is further explained below.

Generally, In the field of mathematics, the Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic connection in Euclidean geometry among three sides of a right triangle.

Pythagoras is credited with developing this theorem. It indicates that the total of the areas of the squares on the other two sides is equal to the area of the square whose side is the hypotenuse.

This signifies that the size of the square whose side is the hypotenuse is equal to that amount.

In conclusion,

a² + b² = c²

8² + 15² = z²

64 + 225 = 289

z² = 289

z = 17

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3312 seats were left at The Hobby Center which has 3,590 seats.

Subtracting from a group or a number of objects in math indicates taking something away. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference. In mathematics, subtraction involves removing anything from a group or a number of objects. What is left in the group gets smaller when you subtract. The following is an illustration of a subtraction issue: 5 - 3 = 2

Given Data

The Hobby Center has 3,590 seats. On Monday, 255 of the seats were sold. On Tuesday 23 of the remaining seats were sold.

Total = 3590

On Monday = 255

On Tuesday = 23

Remaining seats = Total - seats sold

Remaining seats = 3590 - 255 - 23

Remaining seats =  3312

3312 seats were left at The Hobby Center which has 3,590 seats.

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it's 2.84

step by step:

Start by setting it up with the divisor 33 on the left side and the dividend 94 on the right side.

The divisor 33 goes into the first digit of the dividend 9, 0 time(s). Therefore, put 0 on top.

Multiply the divisor by the result in the previous step (33 x 0 = 0) and write that answer below the dividend.

Subtract the result in the previous step from the first digit of the dividend (9 - 0 = 9) and write the answer below.

Move down the 2nd digit of the dividend 4

The divisor 33 goes into the bottom number 94, 2 time(s). Therefore, put 2 on top.

Multiply the divisor by the result in the previous step (33 x 2 = 66) and write that answer at the bottom.

Subtract the result in the previous step from the number written above it. (94 - 66 = 28) and write the answer at the bottom.

it's a repeating decimal so make sure to add a line on top of the last to digits to represent that it is repeating.

The plan that cannot be used to prove that the two triangles are congruent based in the given information is: b. ASA.

The following theorems can be used to prove that two triangles are congruent to each other:

The two triangles only have a pair of corresponding congruent angles, while all three corresponding sides are shown to be congruent to each other.

This means that ASA which requires two pairs of congruent angles, cannot be used to prove that both triangles are congruent.

The answer is: b. ASA.

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THE GCF IN THE EXPRESSION IS 5 MEANING WE ARE GOING TO DIVIDE EACH AND EVERY TERM BY 5 .

[tex] = 5(3w + 13)[/tex]

ATTACHED IS THE SOLUTION

Answer:

y=90, x=56

Step-by-step explanation:

y has a 90 degree indicator, sum theory solves x

Answer:

x = 56

y = 90

Step-by-step explanation:

34 + 90 + x = 180

124 + x = 180

x = 56

y = 90

Step-by-step explanation:

71.5

....................

The principal with the given simple interest, rate of interest and time period is $4550.

Given that, interest = $637, rate of interest = 7% and time period = 2 years.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

We know that, simple interest = (P×R×T)/100

Put simple interest = $637, R=7% and T=2 years, we get

637 = (P × 7 × 2)/100

⇒ 14P=63700

⇒ P=63700/14

⇒ P= $4550

Therefore, the principal with the given simple interest, rate of interest and time period is $4550.

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There are two lines a and b, Which are parallel lines and a line that cut the parallel lines a and b is transversal t.

1. Angle 8 is 86°

2. Angle 9 is 94° and

3. Angle 10 is 86°.

Given that,

There are two lines a and b, Which are parallel lines and a line that cut the parallel lines a and b is transversal t.

The interior angles are 7,8,9 and 10.

The angle 7 and 8 are consecutive angles and angle 7= 94°.

The angle 8 and 10 are alternative angles.

We have to find the angles 8,9 and 10.

We take,

The angle 7 and 8 are consecutive angles and angle 7= 94°.

Consecutive angles condition is Sum of the pair of consecutive angles is equal to 180°.

Now,

∠7+∠8=180°

94°+∠8=180°

∠8=180°-94°

∠8=86°

We got angle 8 as 86°.

Now, we take

The angle 8 and 10 are alternative angles.

Alternative angles condition is The pair of alternative angles are always equal if the two lines are parallel lines.

Now,

∠8=∠10

86°=∠10

∠10=86°

We got angle 10 as 86°.

Then we can say that the angle 7 and 9 are alternative angles.

Then,

∠7=∠9

94°=∠9

∠9=94°

We got angle 9 as 94°.

Therefore, The angle 7 is 94°, ∠8 is 86°, ∠9 is 94° and ∠10 is 86°.

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Answer: 51

Step-by-step explanation:

8.50 x 6 = 51

Answer:

$51

Step-by-step explanation:

Since it's $8.50 per hour. Their asking you how many per 6 hours.

You multiply 8.50 x 6.

8.50 x 6= 51.

Answer:

(A) correct
(B) correct
(C) correct

Step-by-step explanation:

(A) is correct
Total survived = 713

Out of the 713 passengers who survived, the number of crew members = 215, the highest. The ratio of 215/713 is higher than any other ratio. This means 30% of those who survived were crew members. The next higher group of survivors was First Class passengers with a survival rate of 202/713 ≈ 28%

(B) is correct

There were 913 crew members. Out of this, 698 died 215 survived.
So it is more likely that given a person was a crew member, the person died than survived. That comprises 698/913 or 76% of crew members who died with only 24% survival rate

(C) is correct

There were 1516 passengers who died

Out of these, 528 + 698 = 1,226 were either third class or crew members and comprised 1226/1516 or approximately 81 percent of people who died

Answer:

a)62

b)6 months

Step-by-step explanation:

a) if he pays $6 every month then you would times $6 by 5 to find out how much he paid off which is 30 so you would add that to the current amount therefore $30+$32=$62

b) You would do $32 divided by 6 to find out how much hit would take to pay off which is 5 but there is 2 remaining so he can pay that off the next month, so it takes 6 months

a. The rate of change in length of baby grace is 0.75.

b. The linear equation for Baby Grace growth rate in point slope form is y - 20 = 0.75(x - 4)

a. The slope of the line for baby Claire growth is 0.8.

b. Baby girl Claire growth rate is faster than baby girl Grace growth rate.

Let's solve for the growth chart of baby grace.

Therefore,

a.

The rate of change in length of baby Grace can be found as follows:

rate of change = y₂ - y₁ / x₂ - x₁

Hence, using (4, 20)(6, 21.5)

rate of change = 21.5 - 20 / 6 - 4

rate of change = 1.5 / 2

rate of change = 0.75

b . The linear equation in point slope form can be found as follows;

y - y₁ = m (x - x₁)

where

Therefore,

y - 20 = 0.75(x - 4)

Let's tackle the growth chart for baby Claire,

a.

slope of the line = y₂ - y₁ / x₂ - x₁

Using (4, 22)(14, 30)

slope of the line = 30 - 22 / 14 - 4

slope of the line = 8 / 10

slope of the line = 4 / 5 = 0.8

b.

Therefore, Baby Claire growth rate is faster than baby Grace.

This is because bay Claire growth rate is 0.8 and baby Grace is 0.75.

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Answer:

1) 5x-8

2) 2x(4x+3)  

Step-by-step explanation:

The given inequality is true as the value on the right side of the inequality is less than the value on the left side.

What is an equality?

Inequality is a relation which makes a comparison which is non-equal between two numbers or other mathematical .

We are given an inequality 15-700<1000

The left hand side of the inequality on solving becomes,

15-700= -685

Hence the inequality becomes -685<1000

as  a negative value is always less than that of a positive values

Hence 15-700<1000

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a. n-(n - 1) = 1

b. n( n - 1) = n² - n

c. (n - 1) + n = 2n - 1

d. (n - 1) + n = 2n - 1

General Rule for Equation Solving

Given two consecutive numbers , (n - 1) , n

simplifying :

n - (n - 1)

= n -1(n - 1)

= n - n + 1

= 1

multiplying :

n( n -1)

= n² - n

simplifying :

(n-1) + n

= n - 1 + n

= 2n -1

by adding two numbers :

(n - 1) + n

= n -1 + n

= 2n - 1

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Corresponding parts of congruent triangles are congruent.

What do you mean by congruency?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. Formally speaking, two sets of points are said to be congruent if—and only if—they can be changed into one another by an isometry, which is a combination of rigid movements like translation, rotation, and reflection. This indicates that one item may be exactly aligned with the other object by moving and reflecting it, but not by resizing it. So if we can cut out and then perfectly match up two separate plane figures on a sheet of paper, they are congruent. The paper may be turned over.

Corresponding parts of congruent triangles are congruent.

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The measure of the angle of the roof of the model is 56 degrees.

Given:

The angle of the rook on Kaya's dollhouse is 56 degrees. She built a scale model of the dollhouse with a scale ratio of 1:4.

From the statements given:

That  a dilation is being performed that is the original figure is similar to the scale mode she made.

When two figures are similar then the angle of the two figures are same.

This means angle of the rook on Kaya's dollhouse and the built a scale model of the dollhouse with a scale ratio of 1:4 is same.

Therefore the measure of the angle of the roof of the model is 56 degrees.

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The value of a is 30.1

The denominators of fractions must match in order to divide them. The numerators' quotient will be the quotient.

The phrase provided is,

a/12 = 30.1/12

We can directly cut the values if the denominator is the same. Since there is a 12 in the denominator on both the right and left sides in this case, remove 12 from both sides.

Thus, a = 30.1

Likewise, you can act in such manner,

a = (30.1 * 12) / 12

a = 30.1

Here, we take the right side of the left side denominator 12 and cancel 12.

Hence, A has a value of 30.1

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