Mathematics High School

1. Is the equation true, false, or open? 9p + 8 = 10p + 7 A. Open; there is a variable. B. True; the expressions are the same for all values of the variables. C. False; the expression are never the same.

Also all the answers in the Unit Test please

Answers

Answer 1
C. False; the expression are never the same

Related Questions

The perimeter of the square shown is 4(x+33) meters. What is the value of x if the perimeter is 28 meters

Answers

-26

This because 4x+132 =28

I dont know how your answer is negative though

What is the least common multiple of 12, 30 and 84?

Answers

Hi, the LCM (least common multiple) is 420.

Hoped I helped! 

3. Which word choice supports the idea that the author has a positive point of view of rollerskating?
A.been around since the early 1700s
B.loved winter ice-skating
C.hard to roll
D.more popular

Answers

THE ANSWER WOULD BE B OR D

Answer The answer is B

Step-by-step explanation:


The brady bunch has three boys who ages are consecutive even integers. The sum of the boy's ages is equal to four times the youngest boy's age. What are the ages Brady boys?

Answers

x+x+2+x+4 =4x

3x+6 =4x

x=6

6 +8+10 = 24

ages are 6, 8 & 10

Final answer:

The Brady boys' ages are consecutive even integers, and their respective ages are 6, 8, and 10 years old, as derived from setting up and solving an equation based on the given sum and multiple conditions.

Explanation:

We have a mathematical problem involving consecutive even integers and the relationship between their sum and a single integer's multiple. Since the Brady boys' ages are consecutive even integers, we can represent the youngest boy's age as x. The ages of the other two boys would then be x + 2 and x + 4 respectively, because even integers are two units apart.

The information given states that the sum of the boys' ages equals four times the youngest boy's age. This gives us the equation:
x + (x + 2) + (x + 4) = 4x. Simplifying this equation,
3x + 6 = 4x
3x - 4x + 6 = 0
-x + 6 = 0
x = 6.

Therefore, the youngest Brady boy is 6 years old, the middle boy is 8 years old, and the oldest is 10 years old

Calvin bought 20 pencils at $0.45 each. How much change did he get from a $10 bill?

Answers

Calvin got $1 back because 0.45 cents times 20 pencils would be 9 ($9 dollars). Since he used a $10 bill, 10-9=1
He got $1 back in change 
0.45 x 20 = 9
10 - 9 = 1

Solve the equation−3=8x−4y for y

Answers

-3 = 8x - 4y 
-8x  -8x 

-8x -3 = -4y 
/-4  /-4   /-4

2x + 3/4 = y 
Final answer:

To solve the equation for y, rearrange the terms and isolate the variable y on one side of the equation.

Explanation:

To solve the equation -3 = 8x - 4y for y, we need to isolate the variable y on one side of the equation. First, rearrange the terms:

8x - 4y = -3

Now, move the term with x to the right side by subtracting 8x from both sides:

-4y = -3 - 8x

Finally, divide both sides by -4 to solve for y:

y = (3 + 8x) / 4

Learn more about Linear equations here:

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What is it range of this data? {3,3,0,8,7,10,2,6,12,0}

Answers

The range of the area above is 12. I hope I helped! How you do this is you take the highest value (in this case 12) and subtract it by the smallest number (0) So you get 12!
The right range is 12

A fighter plane, f, is told to intercept plane x which is 200 miles in front of f flying directly away from f at 500 mph. plane f is told it must intercept x in 6 minutes. how fast should f fly?

Answers

Final answer:

To intercept plane x, which is 200 miles in front and flying away at 500 mph, in 6 minutes, the fighter plane f should fly at 2500 mph.

Explanation:

The question deals with the calculation of how fast the fighter plane (plane f) should fly in order to intercept plane x in the given time. This is essentially a problem in the physics concept of relative motion. Plane x is 200 miles away from f and is flying away at a speed of 500 mph. The fighter plane f has 6 minutes (or 0.1 hours) to intercept, which is the time needed to cover the distance between the planes. Recall the formula of velocity, v = d/t. Here, the distance d = 200 miles (distance between the planes), and t = 0.1 hours. Substituting these into the formula, we can calculate the necessary speed for plane f.

Additionally, since plane x is moving away from f at 500 mph, plane f must cover an additional 50 miles (500 mph * 0.1 hours) to intercept x. Therefore, the total distance f must cover is 250 miles (200 miles + 50 miles).

Substituting this into the formula of velocity, we find that f should fly at 2500 mph (250 miles / 0.1 hours) to intercept plane x in the allotted time.

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Final answer:

The fighter plane 'f' needs to fly at a speed of 2500 mph to intercept the escaping plane 'x' that is flying away at a speed of 500 mph and is currently 200 miles away.

Explanation:

To solve this problem, we need to work with the concept of relative speed in the context of motion. Plane 'x' travels 500 miles per hour and the fighter plane 'f' needs to intercept Plane x in 6 minutes, which is 1/10th of an hour.

Since Plane x is 200 miles away, in the 1/10th of an hour, Plane x would have travelled an extra 50 miles (500 mph * 1/10), making the total distance Plane f needs to cover 250 miles (200 miles + 50 miles). To cover 250 miles in 1/10th of an hour or 6 minutes, Plane f needs to fly at a speed of 2500 mph (250 miles / 1/10 hr).

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Write a complete two-column proof for following information.

Given: AB = 3y - 1, BC = 7y, AC = 29 Prove: AB = 8


its a normal line and the letters are in order ABC, B is kinda close to A

Answers

A, B, and C are 3 collinear point. (3 points on the same line.)

AB=3y-1, and BC=7y

Since A, B, and C then AC = AB+BC = (3y-1)+7y = 10y-1

AC is 29 units, so we write the equation:

(AC=) 10y-1 =29

adding 1 to both sides, we have:
          
               10y=30, 

dividing both sides by 10:
 
                    y=3.

AB = 3y-1, substituting y with 3, we have AB=3*3-1=9-1=8
Final answer:

To prove AB = 8, we substitute the values given and show that the statement is false.

Explanation:

To prove: AB = 8

Given: AB = 3y - 1, BC = 7y, AC = 29

Proof:

Since AB = 3y - 1 and AC = 29, we can substitute AC in place of AB in the equation AB = 3y - 1. This gives us 29 = 3y - 1.Simplifying the equation, we get 3y = 30.Dividing both sides of the equation by 3, we find y = 10.Substituting the value of y into AB = 3y - 1, we get AB = 3(10) - 1 = 30 - 1 = 29.Since AB = 29, we can see that AB is not equal to 8. Therefore, the given statement is false.

Therefore, we cannot prove that AB = 8.

What is the equation in slope intercept form of a line with a slope of 1/2 and y intercept of1?

Answers

Slope-intercept form : y=mx+b where m=slope, b=y-intervept

Our given slope is 1/2 ; y-intercept is 1

So, simply plug everything into the slope-intercept equation :)

y=mx+b

y = (1/2)x + (1)

Simplify.

y = 1/2x + 1

~Hope I helped!~

Solve for the following equation 3+6z=13+6z
A.z=-5/6
B.z=2 2/3
C.infinitely many solutions
D.no solution

Answers

3 + 6z = 13 + 6z
6z - 6z = 13 - 3
0 = 10 (incorrect)
this equation has no solution

Answer:

D. No solution

Step-by-step explanation:

Since, if an equation after solving gives a true statement,

Then the equation has infinitely many solution,

While, after solving the equation,

We get, a false statement,

Then the equation has no solution,

Given equation,

3 + 6z = 13 + 6z

⇒ 3 = 13

Which is a FALSE statement,

Hence, the given equation has no solution.

OPTION D is correct.

write 171 miles in 3 hours as a unit rate

Answers

57 mph

You basically divide 171 by 3.
171/ 3= 57 miles/hour

Because since you want to write it as how many miles are traveled in one hour- you would have to divide by 3

So 171/3= 57 miles per
3/3= 1 hour

In a test of the microsort method of gender selection, 51 babies are born to couples trying to have baby boys, and 39 of those babies are boys. if the gender selection method has no effect of boys and girls find the mean and standard deviation for the number of boys born in groups of 51

Answers

The number of boys is a random variable that is binomial distributed. Recall that mean and standard deviation for a binomial distribution are [tex] \mu = np [/tex] and [tex]\sigma = \sqrt{np(1-p)} [/tex], respectively, where n = number of trials and p = probability of success.
In this case, n = 51. Since the gender selection method has no effect of boys and girls, the probability for a boy to be born is .5. So p = .5. Then the mean is 
[tex]\mu = 51 \cdot 0.5 = 25.5[/tex] 
 and the standard deviation is
[tex]\sigma = \sqrt{51(0.5)(1-0.5)} = 3.57 [/tex]

Use ∆ABC to find the value of sin B.

Answers

Remember that [tex]\sin (B)=\frac{opposite}{hypotenuse}[/tex]. Then you just need to plug in the side length opposite to B and the hypotenuse of the triangle and you'll get your solution!

Answer:   24/25

 

Step-by-step explanation:  sinB= perpendicular/hypotenuse

                                                      =  side opposite to angle B/hypotenuse

                                                      = AC/AB

                                                      = 24/25

The weight of water is 62 1/2 lb per cubic foot water that weighs 300 lb will fill how many cubic feet

Answers

The number of cubic feet will be 4.8

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given ,

The weight of water is 62 1/2 lb per cubic

Now,

Since, foot water that weighs = 300 lb

Hence, The cubic feet = 300/62.5

                                  = 4.8

Thus, The number of cubic feet will be 4.8

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Final answer:

300 pounds of water will fill 4.8 cubic feet of space, calculated by dividing the total weight by the weight per cubic foot (300 lb / 62.5 lb/ft³).

Explanation:

The student is asking how many cubic feet of space would be filled by 300 pounds of water, given that water weighs 62 1/2 pounds per cubic foot. To find the answer, we divide the total weight of the water by the weight of water per cubic foot. In this case, we divide 300 lb by 62.5 lb/ft3 (since 62 1/2 pounds is the same as 62.5 pounds).

The calculation will be as follows:

Divide 300 lb by 62.5 lb/ft3.

300 lb / 62.5 lb/ft3 = 4.8 ft3.

Therefore, 300 pounds of water will fill 4.8 cubic feet of space.

If KL = 2x, LM = 5x, and KM = 7, what is LM?

Answers

KL + LM = KM

2x + 5x = 7
7x = 7
x = 7/7
x = 1

KL = 2x......2(1) = 2
LM = 5x.....5(1) = 5 <====
2x + 5x = 7 

7x = 7 
/7     /7

x = 1 

KL = 2 
LM= 5 

What is 300 in scientific notation

Answers

Hey there! 

The answer would most likely be: [tex]3 [/tex] × [tex]10^2[/tex]

Because, [tex]10^2 = 100 [/tex] and the problem becomes: [tex]3 [/tex] × [tex]100 [/tex] ← that gives you [tex]300 [/tex]

Good luck on your assignment and enjoy your day!

~[tex]MeIsKaitlyn:)[/tex]

Which equation represents a line that passes through (4, 1/3 ) and has a slope of 3/4?

y – 3/4 = 1/3(x – 4)
y – 1/3 = 3/4(x – 4)
y – 1/3 = 4(x – 3/4 )
y – 4 = 3/4(x – 3/4 )

Answers

y - y1 = m(x - x1)
slope(m) = 3/4
(4,1/3)....x1 = 4 and y1 = 1/3
now we sub
y - 1/3 = 3/4(x - 4) <===

Answer:

The correct option is 2.

Step-by-step explanation:

The point slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]

Where, m is slope.

The line passes through (4, 1/3 ) and has a slope of 3/4.

The equation of line is

[tex]y-\frac{1}{3}=\frac{3}{4}(x-4)[/tex]

Therefore the correct option is 2.

Please help!

Simplify (3/10)(-5/9).
A.) 1/6
B.) -1/6
C.) 77/90

Answers

The correct answer would be B, -1/6

Name the property the equation illustrates. 8 + 5.3 = 5.3 + 8 Inverse Property of Multiplication Inverse Property of Addition Associative Property of Addition Commutative Property of Addition

Answers

The answer is Commutative Property of Addition

Answer:

The answer is : Commutative Property of Addition

Step-by-step explanation:

The communicative property of addition shows that "a + b = b + a".

The numbers can be written in any order, the result will be same.

The given terms are : 8 + 5.3 = 5.3 + 8

The solution for both are same; 13.3 = 13.3

So, this shows the commutative property of addition.

What is the range? Thanks

Answers

The range would be {3, 5, 7} because the range, is basically "y". It's all the possible "y" values in a function.

What is 30 divided by 1/2 ? A) 15 B) 20 C) 40 D) 60

Answers

A 15 hope this helps you out

301/1/2=(30/1)(2/1)=(30)(2)(1)(1)=60

BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The “k” in this scenario represents the *y-intercept* of the function. g(x) is taking the graph of f(x) and shifting it up on the y axis by certain amount. By how much? Answer that, and you’ll have your k value.
the letter "k" in the g(x) function represents the y-incercept. We know that "k" is the y-incercept because the function g(x) = f(x) +k. which models the y=mx+b slope-intercept format. so, in this case k=2 because that is where g(x) intercepts the y-axis. so, the answer is k=2. Hope this helped!

Samuel pays $20 for a shirt that is on sale. If he saved $5, what is the percent of the discount?

Answers

Hi Kyliebreland!
So, If he saved $5 then we do $20 divided by $5 which gives 4 so now we split 100% into 4 pieces which gives us 25%.
Hope this helps!

Answer:

Step-by-step explanation:

So, If he saved $5 then we do $20 divided by $5 which gives 4 so now we split 100% into 4 pieces which gives us 25%.

what is the x for 3kx+24=9kx

Answers

x+ 102 hope it helps dude

Thirty-five percent of 160 is ?

Answers

Thirty-five percent of 160 is 56

Answer:

56.

Step-by-step explanation:

We are asked to find 35% of 160.

To 35% of 160, we will divide 35 by 100 and multiply the result by 160 as:

[tex]35\%\text{ of 160}=\frac{35}{100}\times 160[/tex]

[tex]35\%\text{ of 160}=0.35\times 160[/tex]

[tex]35\%\text{ of 160}=56[/tex]

Therefore, 56 is 35% of 160.

The sum of the EXTERIOR angles of a pentagon equals 360°.
True
False

Answers

Answer:  

TRUE

Step-by-step explanation:

sum of exterior angles of a pentagon equals 360°

hence,this statement is TRUE

Round each mixed number to the nearest whole number 7 2/14 kuanto

Answers

The answer is 7 because 2/14 is closer to zero and zero plus 7 equals 7.

15 points and brainliest -

E’F’G is the image of EFG under a dilation through point C.

What scale factor was used in the dilation?

A. -2
B. - 1/2
C. 1/2
D. 2

Answers

Your answer would be C. 1/2
Since the side FG (8cm) is equivalent to F'G' (4cm), 8 was multiplied by 1/2 to get the corresponding side value

Answer:

For anyone else looking for the answer, the answer is actually, B. -1/2 I just did this test and got it right.

What is the value of the discriminant in the equation shown below? x^2-4x+10=0?

Answers

I think the discriminant would be -24

Answer:

The discriminant would be -24.

Step-by-step explanation:

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