Mathematics High School

Which is an example of the associative property?
A) x + 5 = 5 + x
B) (x + 3) + 7 = x + (3 + 7)
C) 3 • (x + 5) = 3 • x + 15
D) If x = a, and a = 7, then x =

Answers

Answer 1
The first thing we are going to do to solve the problem is to define what associative property is:
 Associative property Property that is fulfilled if, given any three elements of a given set, it is verified that there is an operation that verifies equality
 An expression that meets the definition is:
 (x + 3) + 7 = x + (3 + 7)
 We observe that both members of equality are identical, but written in different ways.
 Answer:
 B) (x + 3) + 7 = x + (3 + 7)

Related Questions

helpppppppppppppppppppppppppppppppppppppppppppp

Answers

x ≥ -32

they want 20 characters n stuff but if you want me to show work or whatever i can
x/4 ≥ -8
----------------
Multiply each side by 4
4 * x/4 ≥ -8 * 4
x ≥ -32

Simplify -|-5 + 2|.

I'm not good with Math, can someone please help me how to Simplify, I have no clue to solving these questions that ask me to simplify, On my Online Schooling I wish to get better. Thanks for the time :)

Answers

Hello,

The answer will be "-5+2".

Reason:

I These lines turn negative numbers into positive:

Therefore the answer will be -5+2 (since how the first - sign was outside of the I).

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

Kite ABCD has a longer diagonal AC with a length of 14 in. and a shorter diagonal BD with a length of 8 in. The diagonals intersect at point E. What is the length of BE?
4 in
7 in
8 in
14 in

Answers

Hello,
The longer diagonal is an axis of symmetry of the  Kite.
So E is the middle of BD and BE=8/2=4

Answer A: 4in.

PLEASE HELP ASSSAAAAPPPP

Answers

All you need to do is plug 2 in for x
[tex]f(x) = 5^x \\ f(2) = 5^2 = 25[/tex]
The answer is 25 dsfsdffasfa

Quadratic Equations Solve for x. x2+2=102 Enter the solutions for the equation in the boxes.

Answers

I believe that the equation has X to the 2 power meaning that the answer for X is...
X= 10, and -10

The given quadratic equation is :

[tex] x^{2}+2=102 [/tex]

We have to solve the given quadratic equation for the value of 'x'.

[tex] x^{2}+2=102 [/tex]

[tex] x^{2}=102-2 [/tex]

[tex] x^{2}=100 [/tex]

[tex] x=\sqrt{100} [/tex]

x= [tex] \pm 10 [/tex]

So, the value of 'x' in the given quadratic equation are 10 and -10.

At the snack bar, a hot dog costs $1.50 and a slice of pizza costs $2. What percent of the cost of a slice of pizza is a cost of a hot dog? Which equation can be written to represent this scenario?

A. 1.5p=2
B. 1.5=2p
C. 2(1.5)=p
D. 2/1.5=p

How would you determine this answer?

Answers

That percent is 133
There are several answers for this
A and D
its 2/1.5=p because u would need to know how much more the pizza is than the hot dog and that answer would be .50 

Find the perimeter of the figure. Round your answer to the nearest tenth.
a) 41 Units b) 34.2 Units c) 23 Units d) 11.2 Units

Answers

counting the straight sides gives you 23 units and using the distance formula on the bottom side gives you about 11.18 units. 23+11.18=34.18 and round that to the nearest tenth to get the answer of 34.2 units.

HELP please :)

A patient requires an IV of 0.9% saline solution, also known as normal saline solution. How much distilled water, to the nearest milliliter, must be added to 100 milliliters of a 6 % saline solution to produce normal saline?,

Answers

x is the amount of distilled water that must be added (in milliliters)
2/(100+x)=9/(1000)
2000=900+9x
1100=9x
122.22=x
x= 122
The answer is 122 milliliters of distilled water must be added

Please help does anyone know the answer Giving 20pts I need ASAP

Answers

The answer is x = 180 - (67 + 52).

That is because x, 67, and 52 make a straight line, hence, they will equal to 180.

So if you subtract the sum of 67 and 52 from 180 you'll get the value of x.

PLEASE HELP ME WITH THIS....
BRAINLIEST AVAILABLE

Answers

C would be the correct answer because you want to get H alone. since everything is connected to it, divide by everything except H because that is what you are finding. that leave h= whatever is left as v divided by the stuff connected to H. (the denominator and v as the numerator). the answer that matches that correct work is c.
Hello,

Answer A

[tex]V= \dfrac{ \pi *r^2*h}{3} \\\\ 3*V= \pi *r^2*h\\\\ \boxed{ \dfrac{3*V}{\pi*r^2}=h }[/tex]



When constructing a regular hexagon inscribed in a circle, what is the measure of an angle formed by any two adjacent vertices of the hexagon and the center of the circle?

Answers

the answer would be 60°

Answer:

Measure of angle is 60°     

Step-by-step explanation:

Given when constructing a regular hexagon inscribed in a circle, we have to measure an angle formed by any two adjacent vertices of the hexagon and the center of the circle.

we have to find the measure of central angle of hexagon

Total measure of angle at centre is 360°

As polygon is given regular hexagon therefore central angle divides into six equal angles.

Hence, measure of an angle formed by any two adjacent vertices of the hexagon and the center of the circle is

[tex]\frac{\text{Total angle at centre}}{\text{number of sides}}=\frac{360}{6}=60^{\circ}[/tex]

what is the scale factor of ABC to UVW

Answers

One of the easiest question I've seen.
It's a scale factor of 5 because, 
5*5=25
5*3=15
5*4=20 
Hope this helps!

Answer:

C. 5

Step-by-step explanation:

We have been given an image of two triangles. We are asked to find the scale factor of ABC to UVW.

To find the scale factor of our given triangles, we will divide one side of triangle UVW by its corresponding side of triangle ABC.

[tex]\text{Original side}\times\text{Scale factor}=\text{New side}[/tex]

[tex]5\times\text{Scale factor}=25[/tex]

Upon dividing both sides of equation by 5, we will get:

[tex]\frac{5\times\text{Scale factor}}{5}=\frac{25}{5}[/tex]

[tex]\text{Scale factor}=5[/tex]

Therefore, the scale factor of triangle ABC to triangle UVW is 5 and option C is the correct choice.

Carlos ran 3/8 of the race course. Lori ran 3/6 of the same race. Who ran further? Explain.

Answers

since it has a smaller denominator, the numerators have the same look as the smaller numerator 

You are finding the product of two square roots. Each radicand is the same variable raised to an odd power. Explain why you would want to multiply the radicands together first and then simplify the product.

Answers

Multiplying the two same variables will combine them into one variable of an even power. (odd number + odd number = even number)
Then the square root (even root/radicand) can be taken eliminating the radicand.

Here's an example to show you what I mean, so you can put it in your own words if you want.

[tex] \sqrt{ x^{3} } * \sqrt{ x^{7} } = \sqrt{ x^{10} } = x^{5} [/tex]

in the second picture, i have included a picture of the theorem that this question is based upon.

Answers

So, because I read the objective, I know it's about perpendicular lines. I know that they have a opposite and negative slope of the original line. So, it would be the last option or (-5, -2)

Can someone help me with this word problem?

Answers

So for question 7 part A the picture will be a triangle similar to the the one that shows the umbrella's height. But the base will be 40 and the height will be 130.

for part B the angle of depression can be found using the trigonometric function of tangent.

tan x = 40/130
tan^-1 (tan x) = tan^-1 (40/30)
x = 17 degrees

I hope i am right

A coach bought some shirts and 5 pairs of shorts. each shirt cost $12 and each pair of shorts cost $10. let t represent the number of shirts. write an expression that can be used to find the total cost of the shirts and shorts. answer

Answers

t=number of shirts
T=total cost (shirts + shorts)

12t+5(10)=T
12t+50=T

Answer: 12t  + 50=T
t=number of shirts
T=total cost. 

The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance betweeb city A and city C is 51 miles.

What type of trianglr is created by the three cities?

A. An acute triangle, beacuse 22^2+54^2>51^2
B. An acute triangle, beacuse 22^2+51^2>54^2
C. An obtuse triangle, beacuse 22^2+54^2>51^2
D. An obtuse triangle, beacuse 22^2+51^2>54^2,

Answers

The answer is B. It is an acute triangle because of 22^2 + 51^2 > 54^2. To identify the type of triangle referred to the problem, we use the Pythagorean Theorem which involves squaring the lengths of all sides of the triangle. If the hypotenuse’s square is less than the two smallest sides' squares added together, than it is an acute triangle. However, if the hypotenuse’s square is larger, then it is an obtuse triangle.

54 is the hypotenuse since it is the longest side.

Following the Pythagorean Theorem, a^2 + b^2 = c^2:

54^2=2916

51^2=2601

22^2=484

It becomes 2601+484 = 2916.

When the two shorter sides are added, the sum is greater than the square of the hypotenuse which is 2916. Thus, the formed triangle is acute. 

Answer:

B

Step-by-step explanation:

A hybrid car averages 600 miles on a 12.9 gallon tank of gas. Manuel is planning a 1240-mile vacation in his hybrid car. Find how many gallons of gas he can expect to burn.

Answers

the average distance travelled by the car - 600 miles
 amount of gas used up - 12.9 gallons
therefore when he travels 600 miles he uses up 12.9 gallons
                                                                                 
for every mile the amount of gas used up - 12.9 gallons / 600 miles = 0.0215 gallons / mile 
therefore 0.0215 gallons used up per mile
                                         
so when he's going for 1240 miles - gas used up is 0.0215 gallons/ mile x 1240 miles = 26.66 gallons
                                       
amount of gas needed is 26.66 gallons

Answer:

26.66 gallon of gas

Step-by-step explanation:

A car uses 12.9 gallons of gas for travelling 600 miles

For travelling one mile , the car will use gas = 12.9 gallon of gas/600 miles  

= 0.0215 gallon of gas /mile

For travelling 1240 miles, gallon of gas required =  

= 0.0215 gallon of gas /mile x 1240 miles  

= 26.66 gallon of gas  

What is the solution to the equation 5x = 40?

7
8
45
200

Answers

The answer to that is: X = 8.

40 divided by 5 = 8.

To check we can do 5 x 8 = 40.

X = 8
Well you want to isolate x so in order to undo multiplication, you divide the 5 on both side that way it cancels on the side with the x. 
                                                    
                                                   5x/5=40/5
 
next, simply dived 40 by 5 which is 8, x=8

A railroad crew can lay 7 miles of track each day. they need to lay 189 miles of track. 17 day how many miles. How many day to lay all the track

Answers

27 days because if they need 189 miles and do 7 miles a day you just divide 189 and 7 so the answer is 27 days.
Final answer:

Given that a crew can lay 7 miles of railroad track a day, it would take them a total of 27 days to lay 189 miles of railroad track.

Explanation:

The subject of this question is the calculation of the number of days it would take for a railroad crew to lay a specified number of miles of track. Given that the crew can lay 7 miles of track each day, and they need to lay a total of 189 miles of track.

To determine the total number of days required, we would divide the total miles by the miles the crew can lay each day.

So, 189 miles ÷ 7 miles/day = 27 days. Therefore, it would take the railroad crew a total of 27 days to lay all the track.

Learn more about Calculating Time here:

https://brainly.com/question/20416068

#SPJ11

The equation x2+y2−4x+2y=b describes a circle. Complete the square to find the center of the circle. The center of the circle is ( , ) The radius of the circle is 7 units. What is the value of b in the equation? b=

Answers

look to the coefficients on the middle terms (-4x and 2y)

divide each coefficient by 2 and square to determine what to add.

(-4/2)^2 = 4 needs to be added to complete the square for x.

(2/2)^2 = 1 needs to be added to complete the square for y.

add to both sides of the equal sign to keep the equation balanced.

x^2 - 4x + 4 + y^2 + 2y + 1 = b + 4 + 1
factor
(x - 2)^2 + (y + 1)^2 = b + 5

The general equation for a circle is:
(x - h)^2 + (y - k)^2 = r^2
with center (h,k) and radius r

compare this to the equation. you see that the center is: (2, -1)

we can write
r^2 = b + 5
given that r = 7
49 = b + 5
49 - 5 = b
44 = b

A 16 foot ladder is leaning against a 10 foot wall. How far away from the building should the bottom of the ladder be placed

Answers

The ladder should be placed three feet away from the wall
check the picture below.

Use the quadratic formula to solve x^2+8x+9=0

What are the solutions to the equation?

Round irrational solutions to the nearest tenth.

x=−1 and x=−8

x = 1 and x=−9

x=−6.6 and x=−1.4

x=−1.2 and x=−6.8


Please explain the answer!

Answers

none of your options, not via complete the square nor quadratic the formula.

Solve for x over the real numbers:
x^2 + 8 x + 9 = 0

x = (-8 ± sqrt(8^2 - 4×9))/2 = (-8 ± sqrt(64 - 36))/2 = (-8 ± sqrt(28))/2:
x = (-8 + sqrt(28))/2 or x = (-8 - sqrt(28))/2

sqrt(28) = sqrt(4×7) = sqrt(2^2×7) = 2sqrt(7):
x = (2 sqrt(7) - 8)/2 or x = (-2 sqrt(7) - 8)/2

Factor 2 from -8 + 2 sqrt(7) giving 2 (sqrt(7) - 4):
x = 1/22 (sqrt(7) - 4) or x = (-2 sqrt(7) - 8)/2

(2 (sqrt(7) - 4))/2 = sqrt(7) - 4:
x = sqrt(7) - 4 or x = (-2 sqrt(7) - 8)/2

Factor 2 from -8 - 2 sqrt(7) giving 2 (-sqrt(7) - 4):
x = sqrt(7) - 4 or x = 1/22 (-sqrt(7) - 4)

(2 (-sqrt(7) - 4))/2 = -sqrt(7) - 4:

Answer: x = sqrt(7) - 4 or x = -sqrt(7) - 4_____________________________________________________

Solve for x:
x^2 + 8 x + 9 = 0

Subtract 9 from both sides:
x^2 + 8 x = -9

Add 16 to both sides:
x^2 + 8 x + 16 = 7

Write the left hand side as a square:
(x + 4)^2 = 7

Take the square root of both sides:
x + 4 = sqrt(7) or x + 4 = -sqrt(7)

Subtract 4 from both sides:
x = sqrt(7) - 4 or x + 4 = -sqrt(7)

Subtract 4 from both sides:
Answer:  x = sqrt(7) - 4 or x = -4 - sqrt(7)

A restaurant offers three vegetable side dishes, two fruit side dishes, and five grain-based side dishes. Each entree comes with two side dishes.

What is the approximate probability of randomly choosing one vegetable and one grain-based side dish?
a.0.08889
b.0.17778
c.0.16667
d.0.33333

Answers

The approximate probability of randomly choosing one vegetable and one grain-based side dish is:   d.  0.33333

Explanation

Vegetable side dishes = 3,  Fruit side dishes = 2 and Grain-based side dishes = 5

So, total number of side dishes [tex]= 3+2+5= 10[/tex]

Number of ways for choosing two side dishes from total 10 dishes will be : [tex]^1^0C_{2}[/tex]

We need to randomly choose one vegetable and one grain-based side dish, so the number of ways [tex]= ^3C_{1} * ^5C_{1}[/tex]

Thus, the probability [tex]= \frac{^3C_{1} * ^5C_{1}}{^1^0C_{2}} = \frac{3*5}{45}= \frac{15}{45}= \frac{1}{3}= 0.3333...[/tex]

Answer:

D. 0.33333

Step-by-step explanation:

The sum of four consecutive odd integers is –72. Write an equation to model this situation, and find the values of the four integers.

Answers

Let's the first odd integer be x...
Please note that odd numbers differs by 2...1,3,5,7,9etc....

If the first odd integer Is x
The next(consecutive one) = x+2
The third = (x+2)+2 = x+4
The fourth one = (x+4)+2 = x+6..

The sum of all this equals to - 72 that is......
x+x+2+x+4+x+6 =-72

4x+12 = - 72

4x=-72-12

4x=-84
x=-84/4

x= -21...
x+2 = - 21+2 = -19
x+4 = -21+4 = -17
x+6 = -21+6 = -15

Those number have been highlighted above..

Hope this helped....

Answer:                                                                                                                     n + n+2 + n+4 + n +6 = 4n + 12 = -72 4n = -84 n = -21 -21,-19,-17 and -15

(12 + 5) + 32 × (10 − 5) =

Answers

Answer:

177 hope this helps 
[tex](12 + 5) + 32 \times (10 - 5) = [/tex]
[tex]17 + 32 \times 5 = [/tex]
[tex]17 + 160 = [/tex]
[tex]177[/tex]
So the answer is 177.

An isosceles triangle has perimeter T and sides of length x, x, and y. Which of the following represents x in terms of T and y? (10 POINTS + BRAINLIEST ANSWER)

A. x = T - y

B. x = T - 2y

C. x = T - 2y/2

D. x = T - y/2

Answers

C. T-2y/2 easy peazy lemon squeezey

the correct answer is C. x = (T - 2y) / 2.

To find the value of x in terms of T (the perimeter) and y for an isosceles triangle with two sides of length x and one side of length y, we use the fact that the perimeter is the sum of all three sides. The equation representing the perimeter of the triangle is T = x + x + y, which simplifies to T = 2x + y. To solve for x, we rearrange the equation to x = (T - y) / 2. Therefore, the correct answer is C. x = (T - 2y) / 2.

describe the graph of y={1/(2x-10)}-3 compared to the graph of y=1/x

Answers

[tex]\bf ~~~~~~~~~~~~\textit{function transformations} \\\\\\ % templates f(x)= A( Bx+ C)+ D \\\\ ~~~~y= A( Bx+ C)+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \\\\ f(x)= A sin\left( B x+ C \right)+ D \\\\ --------------------[/tex]

[tex]\bf \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}\\ ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}[/tex]

[tex]\bf ~~~~~~\textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}[/tex]

with that template in mind, let's check these two

[tex]\bf \stackrel{parent}{y=\cfrac{1}{x}}\qquad \qquad\qquad \qquad \stackrel{transformed}{y=\cfrac{1}{\stackrel{B}{2}x\stackrel{C}{-10}}\stackrel{D}{-3}}\\\\ -------------------------------\\\\ B=2\qquad \textit{shrinks horizontally by }\frac{1}{2} \\\\\\ C=-10\qquad \cfrac{C}{B}=\cfrac{-10}{2}\implies -5\qquad \textit{horizontally right-shifted by }5 \\\\\\ D=-3\qquad \textit{vertically down-shifted by }3[/tex]

A store carries two different sizes of a certain brand of potato chips. bag 1 contains 8 ounces and costs $3.49. bag 2 contains 12 ounces, and costs $4.59. which bag has the lowest price per volume

Answers

The price per volume will be given by the following equation:
 P = (cost) / (volume of the bag)
 For bag 1: 
 P1 = (cost) / (volume of the bag)
 P1 = (3.49) / (8) = 0.43625 $
 For bag 2: 
 P2 = (4.59) / (12) = 0.3825 $
 We know that
 P1> P2
 Answer:
 bag 2 has the lowest price per volume 0.3825 $

Bag 2, with a price of $0.3825 per ounce, has a lower price per volume compared to Bag 1, which has a price of $0.43625 per ounce.

To determine which bag of potato chips has the lowest price per volume, we need to calculate the price per ounce for each bag.

For Bag 1, it contains 8 ounces and costs $3.49, so the price per ounce is $3.49 / 8 ounces = $0.43625 per ounce.For Bag 2, it contains 12 ounces and costs $4.59, so the price per ounce is $4.59 / 12 ounces = $0.3825 per ounce.

Comparing these values, we see that Bag 2 has the lower price per ounce at $0.3825 per ounce, making it the more economical choice per unit of volume.

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