Mathematics Middle School

Please help! Which of the following is an example of an open equation? 5x+7=12 12+(-8)=4 25=5(5) 8+0=8

Answers

Answer 1

5x +7=12 is an example of an open equation because it contains a pronumeral (x)

Answer 2

5x+7=12 is and example of an open equation

Related Questions

4x27+5x34-94=n what is the value of n

Answers

27 times 4= 108 multiply the first two
34 times 5 =170 multiply the other
170+108=278 you have to add
278-94=184 subrtact

n=184

(Please help!) Solve the following system by substitution:
Y=x^2+4x+6
Y= -x+2
Thank you!

Answers

-x+2=x^2+4x+6
x^2+5x+4=0
(x+4)(x+1)=0
X= -4 and -1

X is -4 and -1

hope this helps you(:

If not plz let me know(:

which statements are true about the race

Answers

stuart is given a 40 yd head start and loses the race
stuart finishes the race 1 second after peter

thats all I am getting as true statements

Look at the y-axis. This is time 0, the beginning of the race.
Stuart starts at 60 yards from the finish.
Peter starts at 100 yards from the finish.
Stuart runs 60 yards, and Peter runs 100 yards.
Also, now look at the x-axis.
Stuart take 13 seconds to complete the race, and Peter takes 12 seconds to complete the race.

a.
Stuart ran 60 yards in 13 sec.
Peter ran 100 yards in 12 sec.
Peter ran a longer distance in less time, so Peter runs at a faster rate.

b.
Stuart ran 60 yd. Peter ran 100 yd.
100 yd - 60 yd = 40 yd.
They both started at the same time, so Stuart had a 40 yd head start.
Stuart still lost the race.

c.
Peter does not have a head start. He must run 40 extra yards.

d.
Stuart runs 60 yd.
Peter runs 100 yd.
Peter runs the longer race.

e.
Stuart finishes in 13 sec.
Peter finishes in 12 sec.
Stuart does take 1 more second than Peter.

f.
Peter ran 100 yd in 12 sec.
Speed = distance/time = (100 yd)(12 sec) = 8.33 yd/sec

Every statement is explained above.
Now you need to decide which ones are true and which ones are false based on the explanations.

4. The sail of a boat is in the shape of a right triangle. If the area of the sail is 42 square feet and its base is 12 feet, what is the height of the sail?

Answers

I believe 7 feet would be the height of the sail.

To find the height of a sail shaped as a right triangle, utilize the area formula A = (base x height) / 2, rearranged to solve for height, leading to the solution of 7 feet for the given area of 42 square feet and base of 12 feet.

To find the height of a sail that is shaped as a right triangle with an area of 42 square feet and a base of 12 feet, we can use the formula for the area of a triangle, which is A = (base x height) / 2. Therefore, we can rearrange the formula to solve for the height:

Height = (2 x Area) / base

By plugging in the values we have:

Height = (2 x 42) / 12 = 84 / 12 = 7 feet

The height of the sail is therefore 7 feet.

Albert thought of a number, added 5, multiplied the result by 2, took away 6 and then divided by 2 to give an answer of 8

Answers

The number he thought was 6.

x=number
((((x+5)*2)-6)/2)=8
(((x+5)*2)-6)=8*2
((x+5)*2)=16+6
(x+5)=22/2
x=11-5
x=6

Simplify the expression. 9 3 × 2 a. 15 b. 21 c. 24 d. 48

Answers

the answer will be d

evaluate the expression

Answers

I am pretty sure it is 30. Hope it helps!!

It is 30 :) I did the maths

Anna is making macaroni for cousin's birthday party for every 3 cups of macaroni she needs to use 9 cups of water based on this information how many cups of water are needed if she uses 11 cups of macaroni?

Answers

So if 3cups m = 9cups w you need to find out how much water 1 cup of macaroni will need. So 9/3.

She needs 33 cups of water for 11 cups of macaroni.

What is unitary method ?

Unitary method is a technique for first determining the value of a single unit and then deriving the values of any given unit from it.

According to the given question Anna is making macaroni for cousin's birthday party for every 3 cups of macaroni she needs to use 9 cups of water.

∴ For 1 cup of macaroni she needs 9/3 cups of water which is equal to 3 cups.

So, For 11 cups of macaroni she needs (11×3) = 33 cups of water.

learn more about unitary method here :

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Two stores offer differently priced sales for the same paper towels, according to the table below. Which store offers the better deal, based on a lower unit price per roll? Store 1 Store 2 Paper towel rolls 12 15 Price $3.30 $3.50 Store ___ has the better deal.

Answers

store 1 has 12 for 3.30

3.30/12 = 0.275 each

Store 2 has 15 for 3.50

3.50/15 = 0.233 each

Store 2 has the better deal

Answer:

store 2

Step-by-step explanation:

A family's vacation destination is 850 miles from their home. They travel by car 6 hours on the first day of their trip. Their average speed is 45 mph. The next day they travel 7 hours, averaging the same speed. How many miles are left for the family to travel?

A) 225 miles
B) 265 miles
C) 285 miles
D) 345 miles

Answers

for the first part:

distance= speed * time
distance=6*45
=270

for the second part:

distance=speed*time
distance=7*45
=315

total-distance already traveled = distance left
850-315-270=265
distance left=265 miles

The answer is B.
Hope this helps! :)

Please help me with math please, they are number lines.

Answers

The answer is A.
hope this helps!

I’m 100% sure it’s a

Alice needs twice as many yards and ribbon as Quincy how many rolls and ribbon does alice need

Answers

First off you need to know how many yards of ribbon Alice has. Then multiply that by 2 because you need twice as much.
I didn't quite understand what you needed help with but hopfuly I answerd your question. Sorry if i didnt!

Can somebody help me find the missing one

Answers

The one missing is the fourth choice.

As you can see, the x axis stands for the weight, and the y axis the total cost.

You can see that the point, (1, 4) definitely exists.

So basically it would be 1 pound of cheese for four dollars, since x is weight and y is total cost.

You can see the fourth choice states that it's four dollars for one pound of cheese.

Hope this helped :)

Subtract the following polynomials, then place the answer in the proper location on the grid.

Answers

Final answer:

To subtract polynomials, align the terms and subtract their corresponding coefficients.

Explanation:

Subtracting polynomials involves subtracting the corresponding terms from each other. Start by aligning the like terms and then subtract their coefficients. If there are any terms that cannot be simplified further, leave them as they are in the final answer. For example, if we have (3x^2 + 2x - 5) - (2x^2 - 3x + 4), we align the terms and subtract them to get (3x^2 - 2x^2) + (2x + 3x) + (-5 - 4) = x^2 + 5x - 9.

142.5 devided by 9.5 find the quotient

Answers

The quotient is 15!!!!

The answer to your question is 14

Jin’s pays 3.48 for a bag of 12 tangerines find the unit price in dollars per tangerine if necessary round your answer to the nearest cent

Answers

Answer:

0.29

Step-by-step explanation:

Final answer:

To find the unit price of tangerines Jin bought, divide the total cost of $3.48 by 12. This gives a unit price of $0.29 per tangerine.

Explanation:

To find the unit price of the tangerines that Jin purchased, you need to divide the total cost by the number of tangerines.

Jin paid $3.48 for a bag of 12 tangerines. Therefore, to calculate the price per tangerine, use the following equation:

Unit Price = Total Cost / Number of Units

Unit Price = $3.48 / 12 tangerines

Unit Price = $0.29 per tangerine

If necessary to round to the nearest cent, the unit price remains $0.29 since it is already at the cent level.

Order the numbers from least to greatest.

9/5. -2.5, -1.1. -4/5, 0.8

Answers

-2.5, -1.1, -4/5,0.8,9/5

Convert them all to mixed numbers;
1.8, -2.5, -1.1, -0.8, 0,8 looking at these answers,
Least to greatest, the answer is:
-2.5, -1.1. -4/5, 0.8, 9/5

x – 14 = 13
Does this equal 27 or -27

Answers

x=27 <--- Answer

Steps:
x−14=13Step 1: Add 14 to both sides.x−14+14=13+14x=27

ST=x+3 and TU=4x-6 what is the value of ST and SU

I know ST=6 and SU=12, but I'm not sure how to do the problem, can someone explain?

(S, T, and U are all on the same line)

Answers

Answer:

ST= 6 unit and SU = 12 unit

Step-by-step explanation:

Here, S, T, and U are all on the same line,

Also, T is between S and U,

Such that ST = TU

Here, ST = x+3 and TU = 4x-6,

⇒ x + 3 = 4x - 6

Subtracting 3 on both sides,

⇒ x = 4x - 9

Subtracting 4x on both sides,

⇒ -3x = -9

Divide both sides by -3,

⇒ x = 3

Hence, ST = 3 + 3 = 6,

And, SU = ST + TU = ST + ST = 2 ST = 2(6) = 12

This situation is described by the image below, where we can see that:

Points S, T, and U are colinear points.

Point T is the midpoint of the segment SU.

This means that:

ST = TU

We also know that:

ST = x + 3

TU = 4x - 6

Then we can write:

ST = x + 3 = 4x - 6 = TU

x + 3 = 4x - 6

3 + 6 = 4x - x

9 = 3x

9/3 = x = 3

Now that we know the value of x we can replace it in the equations of ST and TU

ST = x + 3 = 3 + 3 = 6

TU = 4x - 6 = 4×3 - 6 = 6

And T is a point between S and U, this means that:

SU = ST + TU = 6 + 6 = 12

SU = 12

If you want to learn more, you can read:

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Given: ΔXYZ

XY = 28 cm; XZ = 30 cm; YZ = 32
AB is a midsegment parallel to XY

What is the length of AB?

Answers

Answer:

I think the answer is

7cm

Answer:

The correct answer should be 7cm if not 14cm

Forty nine people are waiting in line to see the dinosaur movie seventeen are in front of Jackie how many are behind her the dinosaur movie lasts 97 minutes it starts at 4:30 pm what time will it end

Answers

There are 31 people behind her since 49-17 would equal 32 but you take away 1 person (Jackie) and you're left with 31. The movie ends at 6:07 pm, since 4:30 plus an hour is 5:30. Add another half hour, 6:00. Add the remaining 7 minutes to get 6:07 pm.

there are 31 people behind jackie and the movie will end at around 7:07

3. A test has 20 questions worth 100 points total. The test consists of True/False questions worth 4 points each and multiple choice questions worth 8 points each

C. Solve the system to determine how many questions of each type there are on the test. You may use any method, but you must show your work.

Answers

x+y=20
4x+8y=100
x=-2y+25
x=-y+20
-2y+25=-y+20
-y=-5
y=5
x=15
There are 15 true/false questions and 5 multiple choice questions

Answer:

x+y=20

4x+8y=100

x=-2y+25

x=-y+20

-2y+25=-y+20

-y=-5

y=5

x=15

There are 15 true/false questions and 5 multiple choice questions

Please help me find what 15/16 subtract 3/4 is?

Answers

Okay first you should look at the denominator and if the denominator are the same you could subtract easily but in this case the denominator are different so you see which denominator is the biggest one and try to chose the small one. So basically what four times what equals to 16 given the 4 and then you multiply the fraction 3/4 by 4 and giving 12/16 and then you subtract and giving the answer 3/16

The answer is 3/16

This is how I got it
=(15*4) - (3*16)
I got 12 then I did 16 *4 and it's 64 so I put the number in like fraction so it's 12/64
I divide 12 ÷4 and 64 ÷ 4

I got 3/16.

An investment is currently worth 1.2 x 10^7 dollars. Twenty years ago, the investment was worth 9.6 x 10^5 dollars.

How many times greater is the value of the investment today than the value of the investment twenty years ago?

Answers

Well your investment now is 12000000, and 20 years ago it was 960000. That pretty much answers your question.

Answer:

12.5

Step-by-step explanation:

Hope this helps!

A square patio has an area of 200 square feet. how long is each side of the patio to the nearest 0.05?

Answers

Okay. So to find the answer to this, let’s do 200 squared. When you find the square root of 200, you get 14.14213 and other odd numbers or 14.15 when rounded to the nearest half-tenth. Each side of the patio is about 14.15 feet.

HELP PLEASE!
Given the function g(x) = 6(4)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Part A: Find the average rate of change of each section. (4 points)
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)

Answers

1x is the rate of change

Miguel has 3 times as many rabbits as Sarah. Miguel has 6 rabbits. How many rabbits does Sarah have?

Answers

6/3=2
Sarah has 2 rabbits :)

Sarah has 2 rabbits.

Betsy participates in a scavenger hunt that requires her to retrieve items from 4 locations. The locations are on a map with the coordinates as given:
Location 1 is at (−4, −1) .
Location 2 is at (−4, 4) .
Location 3 is at (3, 4) .
Location 4 is at (3, −1) .

The paths from one location to another are straight lines. One unit on the coordinate grid equals 10 yd. Betsy starts at location 1 and goes to location 2, then location 3, and then location 4, and then returns back to location 1.

What is the total distance Betsy has traveled?

Answers

She has traveled 240 yards, it was on my test :)

Answer:

240 yd

Step-by-step explanation:

Let A, B, C, and D represent location 1, location 2, location 3, and location 4 respectively.

Consider the figure in the attached file.

We need to find the total distance traveled by Betsy.

The distance covered by Betsy is

length of segment AB[tex]+[/tex] length of segment BC[tex]+[/tex] length of segment CD[tex]+[/tex] length of segment DA.

To find the distance AB, we need to find the distance from A to B on y-axis.

So, length of segment AB [tex]=5 [/tex] units

To find the distance BC, we need to find the distance from B to C on x-axis.

So, length of segment BC [tex]=7 [/tex] units

To find the distance CD, we need to find the distance from C to D on y-axis.

So, length of segment CD [tex]=5 [/tex] units

To find the distance DA, we need to find the distance from D to A on x-axis.

So, length of segment DA [tex]=7 [/tex] units

Hence, the total distance covered is [tex]5+7+5+7=24[/tex] units

It is given that 1 unit equals 10 yd, so distance traveled by Besty is [tex]10\times 24=240[/tex] yd

Big sale at the mall this weekend! Tank tops are on clearance for 70% off. T-shirts that regularly cost $20.00 are on sale for $12.00 each if you buy 3 or more. All jeans are half off. Write an equation to calculate the total cost of 2 tank tops, 3 T-shirts, and 1 pair of jeans. Use t to represent the original price of a tank top and j to represent the original price of a pair of jeans.

Answers

The equation to calculate the total cost of 2 tank tops, 3 T-shirts, and 1 pair of jeans is Total price = 1.6t + 36 + j/2.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

Tank tops are on clearance for 70% off.

Let t be the original price.

Sale price of tank top = t - 20% of t = t - 0.2t = 0.8t

Sales price for 2 tank tops = 1.6t

Sale price for a T shirt = 12 if you buy 3 or more T shirts.

Sales price for 3 T shirts = 3 × 12 = 36

Let j be the original price of a jean.

Sale price = j/2

Equation to find the total price is,

Total price = 1.6t + 36 + j/2

Hence the required equation is Total price = 1.6t + 36 + j/2

Learn more about Equations here :

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Final answer:

To calculate the total cost of 2 tank tops, 3 T-shirts, and 1 pair of jeans with given discounts, use the equation C = 0.60t + 36.00 + 0.5j, where t is the original price of a tank top and j is the original price of jeans.

Explanation:

The question involves calculating the total cost of purchasing 2 tank tops, 3 T-shirts, and 1 pair of jeans, with specified discounts, using the original prices of a tank top (t) and a pair of jeans (j) as variables. To compute this, we will establish an equation based on the given discounts.

For tank tops at 70% off, each tank top costs 0.30t since they are 30% of the original price. Buying 2 means spending 2(0.30t) = 0.60t.

For T-shirts, the sale offers them at $12.00 each when buying 3 or more. Thus, the total for 3 T-shirts is 3($12.00) = $36.00.

For jeans at half off, the cost of 1 pair is 0.5j, representing 50% of the original price.

Combining these, the equation for the total cost (C) is: C = 0.60t + 36.00 + 0.5j.

how do I write A quadratic Equation From a Parabola and A Chart

Answers

1. Use vertex form of quadratic equations f (x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.
2. If the parabola is upside down remember to add in a negative in front of a.
3. Substitute the (x,y) coordinates of the vertex in the vertex form equation remember h=x and k=y.
4. Now, substitute any point (x,y) from the table into the x and f (x) of the vertex form, f (x)=y.
5. Solve for a.
6. Goto #3 and sub in the a value from step #5.
7. You are done and have a equation in vertex form.
To change to standard just distribute (a) value into the equation (distribution property) and simplify (add or subtract like terms).

Final answer:

To write a quadratic equation from a parabola and a chart, you can use the vertex form of a quadratic equation which is y = a(x - h)^2 + k. Substitute the coordinates of two points on the parabola into the equation and solve for the unknown variables. Once you have the values, substitute them back into the equation to obtain the final quadratic equation.

Explanation:

To write a quadratic equation from a parabola and a chart, you will need to use the vertex form of a quadratic equation which is y = a(x - h)^2 + k. In this form, (h,k) represents the coordinates of the vertex of the parabola.

The equation can be determined from the chart by finding two points on the parabola and substituting their coordinates into the equation.

Here are the step-by-step instructions:

Select two data points from the chart that lie on the parabola.Substitute the x and y coordinates of the first point into the equation y = a(x - h)^2 + k.Substitute the x and y coordinates of the second point into the equation.Now you have two equations with two unknowns (a and h), solve the system of equations to find the values of a and h.Once you have obtained the values of a and h, you can substitute them back into the equation y = a(x - h)^2 + k to get the final quadratic equation.

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