Answer the questions about the work below:

3x − 8 ≤5x + 6
3x ≤5x −2
−2x ≤−2
Are there any errors in the above work so far? Response area

The correct final answer is:

Answer:

Height of each triangle: 14cm

Area of each triangle: 168cm²

Step-by-step explanation:

So we know that the base of the area is 24. Lets find the height.

336 ÷ 24 = 14

If he makes two triangles out of the rectangle that just means he cuts it in half.

To find the area of one triangle lets do:

336 ÷ 2 = 168

Let's double check our answer:

(14 × 24) ÷ 2 = 168

Seems great!

Answer:

c?

Step-by-step explanation:

The question is an illustration of angles on a straight line

The value of x is 25.4

In the figure, angles 1 and 2 are angles on a straight line

Where:

So, we have:

\(4x - 8 + 3x + 10=180\)

Collect like terms

\(4x + 3x =180 - 10 + 8\)

\(7x =178\)

Divide through by 7

\(x =25.4\)

Hence, the value of x is 25.4

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Answer:

an Altitude

Step-by-step explanation:

Its altitude indicated by point A to line BC

Answer:

Im pretty sure that would be an altitude

Step-by-step explanation:

Given the expression: (3.2+0.2)2+12​

To get the value of the expression, do the following:

1. add 3.2 and 0.2

2. multiply 3.4 by 2

3. add 6.8 and 12

So, the value of the expression = 18.8

Based on the results of the survey, the sport that was most popular was A. Football.

Out of 100 seventh-graders that were surveyed, 39 students preferred football.

This made it the most popular sport in the school and it is followed by Basketball which was preferred by 30 students.

The rest of the question is:

Football - 39

Baseball - 28

Basketball - 30

Volleyball and Hockey - 3

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Answer:

Basketball

Step-by-step explanation:

Answer:

999,960

Step-by-step explanation:

let x be a multiple of 120

120x ≤ 999,999

999,999 / 120 = 8333.325

8333 ≤ x ≤ 8334

8333(120) = 999,960

8334(1200) = 1,000,080  this is a 7-digit number

Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960

The most likely shape for the population distribution is Positively skewed. (B)

This can be determined by looking at the mean, median, and mode of the population. In a positively skewed distribution, the mean is typically greater than the median, which is greater than the mode.

In this case, the mean is 26, the median is 23, and the mode is 22, which follows this pattern.

A symmetrical distribution would have the mean, median, and mode all equal to each other. A negatively skewed distribution would have the mean less than the median, which is less than the mode.

Therefore, the most likely shape for the population distribution is positively skewed  (B).

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Answer:

Because you are trying to multiply and divide at the same time

Step-by-step explanation:

Hence, the given equation has no real solution.

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given equation is \(2x + 1 + 4 = -1\). It does not have real solution

i.e.,

\(2x + 1 + 4 = -1\\\\2x=-1-1-4\\\\2x=-6\\\\x=-\frac{6}{2}\\\\x=-3\)

As we know that the for all real values of \(x,x^2\) is a positive value.

Hence, the given equation has no real solution.

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Answer:C

Step-by-step explanation:

Answer:

A) 252pi

Step-by-step explanation:

The volume of a sphere is \(\frac{4}{3}\pi r^{3}\)

First, let's find the diameter of the large sphere.

If D=12, then R=6

\(\frac{4}{3}\pi 6^{3}=288\pi\)

Then, we need to find the volume of the smaller sphere

\(\frac{4}{3}\pi 3^{3}=36\pi\)

\(288\pi -36\pi =252\pi\)

Hope this helps :)

\(-noorati\)

The equivalent expression could be 4×3·4×4−s

Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.

Think about the numbers 3²+1 and 5×2. They both add up to 10. These two expressions are equivalent, so to speak.

Let's now have a look at some expressions with variables, such 5x+2.

It is possible to rewrite the expression as 5x+2=x+x+x+x+x+1+1.

The right side of the equation can be regrouped to 2x+3x+1+1, x+4x+2, or another combination. When the same value is used as x, all of these equations have the same result. These two expressions are equivalent, so to speak.

When two expressions have the same value regardless of the value of the variable(s) they contain, they are said to be equivalent.

Here, 4×3=12 and 4×4=16

therefore, 4×3·4×4−s is equal to the expression 12⋅16−s

4×3·4×4−s and 12⋅16−s  are equivalent expressions.

Hence, The equivalent expression could be 4×3·4×4−s

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The equivalent expression could be 4×3·4×4−s.

Here, 4×3=12 and 4×4=16

therefore, 4×3·4×4−s is equal to the expression 12⋅16−s

4×3·4×4−s and 12⋅16−s  are equivalent expressions.

Hence, The equivalent expression could be 4×3·4×4−s

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Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

Answer:

Step-by-step explanation:

2SIn A Cos B = Sin (A + B) + Sin (A - B)

2 Sin 48 Cos 12 = Sin (48 +12) + Sin (48 -12)

                           = Sin 60 + Sin 36

Answer:

a=4 and b = 0

Step-by-step explanation:

Given : \(\dfrac{\sqrt 3 -1}{\sqrt 3+1}+\dfrac{\sqrt 3+1}{\sqrt 3-1}=a+\sqrt 3 b\)

To find, The value of a and b

Solution,

Solving LHS of the given equation,

\(\dfrac{(\sqrt 3-1)^2+(\sqrt3+1)^2}{(\sqrt 3+1)(\sqrt 3-1)}=a+\sqrt 3 b\)

Since,

\((a-b)^2=a^2+b^2-2ab\\\\(a+b)^2=a^2+b^2+2ab\\\\(a-b)(a+b)=a^2+b^2\)

So,

\(\dfrac{3+1-2\sqrt 3+3+1+2\sqrt 3}{3-1}=a+\sqrt 3 b\\\\4=a+\sqrt 3 b\)

or

\(4+0=a+\sqrt 3 b\)

On comparing we get :

a = 4 and b = 0

To convert grams to moles per gram, you need to find the molar mass of the substance in grams per mole. Then, divide the number of moles by the given mass to get moles per gram.

To convert grams to moles per gram, you first need to determine the molar mass of the substance you are interested in. The molar mass is the mass of one mole of the substance, expressed in grams. Once you know the molar mass, you can use it to convert grams to moles, and then divide by the total mass to get moles per gram.

Here are the steps to follow:

Determine the molar mass of the substance. This is the sum of the atomic masses of all the atoms in the molecule, expressed in grams per mole. You can find the atomic masses on the periodic table.

Convert the given mass from grams to moles, using the formula:

moles = mass / molar mass

where mass is the given mass in grams, and molar mass is the calculated molar mass in grams per mole.

Divide the number of moles by the given mass, to get the moles per gram. This gives you the number of moles of the substance per gram of the sample.

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Answer:

noice

Step-by-step explanation:

becuase o=boice

Step-by-step explanation:

Slope = rise/run = 1/2

You need to plot these two points = (1,0) and (3,1) and make a line paas through

Answer by Gauthmath

Answer:

‎

Step-by-step explanation:

‎

The probability that we want to get is 0.167

To get this probability, we need to take the quotient between the number of students that preffers athletics and literature and the total number of students in the table.

We have:

Total number = 5 + 3 + 2 +8 = 18

number that preffers athletics and literature = 3

Then the probability is:

P = 3/18 = 0.167

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Answer:

She bought 3 large frames and 8 small frames.

Step-by-step explanation:

X= Large frames = $19

Y= Small frames  = $ 9

Total Frames Cost = $129

Total Frames = 11

Then, costs formula:

1) 19X + 9Y = 129

2) X + Y = 11

So here you have a equation system and we will solve it by substituion method:

2) Y = 11-X

replace Y in 1)

1) 19X + 9(11-X) = 129

19X +99 -9X = 129

10X = 129-99

10X = 30

X = 30/10

X = 3

Then

Y = 11-3

Y = 8

Answer:

28

Step-by-step explanation:

Answer:

The length of the hypotenuse is 10 yards.

Step-by-step explanation:

Given that this is a right triangle, you could apply the Pythagorean Theorem to it. Although I'm not exactly sure, given as there's no indication in your question.

The Pythagorean Theorem is a^2 + b^2 = c^2, for context.

So, 6^2 + 8^2 = ?^2.

6^2 = 36

8^2 = 64

64 + 36 = 100

However, 100 isn't the side length of c, it's c squared. To "unsquare" it, you need to find the square root of it.

In this case, the square root of 100 is 10.

6^2 + 8^2 = 10^2. Makes sense, right?

36   + 64  = 100

Hope this helps.

x is present in the algebraic expression, therefore, option A is correct.- x is present in the expression, therefore, option B is correct.- x + y is present in the expression, therefore, option D is correct.

The given expression is: 3x[3(x + y)]^3x[3(x + y)]^3 × (x + 3)(x + y)

To simplify the given expression, we will first solve the expression within the brackets as follows:

(3(x + y))^3 = (3)³(x + y)³ = 27(x + y)³

Now, we will substitute the above value in the expression:

3x[3(x + y)]^3 = 3

x × 27(x + y)³ = 81x(x + y)³

Multiplying both terms of (x + 3)(x + y), we get:

(x + 3)(x + y)

= x(x + y) + 3(x + y) + 3y

= x² + xy + 3x + 3y + yx + 3y

= x² + 4xy + 6y + 3x

The final expression after substituting the value of 3x[3(x + y)]^3 and (x + 3)(x + y) is:

81x(x + y)³ × (x² + 4xy + 6y + 3x)

= 81x(x + y)³x² + 81xy(x + y) + 6xy + 27x(x + y)

= 81x³ + 189xy² + 81x²y + 6xy + 27x² + 81xy

Now, let's check which options are correct:- 3x is present in the expression, therefore, option A is correct.- x is present in the expression, therefore, option B is correct.- x + y is present in the expression, therefore, option D is correct.

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Answer:

1cm:2km

Step-by-step explanation:

you ratio both of the answers which shows that 1cm on the map represents 2km in reality.

A.

We can rewrite the squared in two ways.

The first way is to rewrite it as a multiplication, this is:

The second way to rewrite the squared is by using the formula for this kind of product:

B.

Once again we can find the final result using each of the options given in part A, for the first option we have:

For the second option we have:

No matter which way we choose the answer for the squared is:

Answer:

True

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

just took the test

P = 90 is the solution for the given equation.

Given: Qd=95−4

PQs=5+P

To find Qd if P=5:

Put P = 5 in the equation

Qd=95−4P

Qd = 95 - 4 x 5

Qd = 75

So, Qd = 75.

To find P if Qs = 20:

Put Qs = 20 in the equation

Qs = 5 + PP

= Qs - 5P

= 20 - 5P

= 15

So, P = 15.

To solve Qd=Qs, substitute Qd and Qs with their respective values.

Qd = Qs

95 - 4P = 5 + P

Subtract P from both sides.

95 - 4P - P = 5

Add 4P to both sides.

95 - P = 5

Subtract 95 from both sides.

- P = - 90

Divide both sides by - 1.

P = 90

Thus, P = 90 is the solution for the given equation.

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