Mathematics Middle School

Which statement is true for the equation 4x − 4x − 5 = −5?

It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.

Answers

Answer 1
4x-4x-5=-5  combine like terms on left side

-5=-5

The above is true for all values of x, thus there are infinitely many solutions.
Answer 2
4x - 4x -5 = -5
0 - 5 = -5
0 = 0
The equation has infinitely many solutions.

Related Questions

How much is 1 foot line of quarters worth

Answers

a quarter is 1.75 mm thick

1 mm = 0.0393701 inches

0.0393701/12 = 25.4 mm per inch

25.4/1.75 = 14.5 quarters per inch

14.5 x 12 = 174 quarters per foot

174 x 0.25 = 43.50

$43.50 for a foot of quarters


Evaluate the following expression.

5-3

Answers

subtract 5-3 = 2


check 2+3 =5

Alina spent no more than $45 on gas for a road trip. The first gas station she used charged $3.50 per gallon and the second gas station charged $4.00 per gallon. Which inequality relates the number of gallons of gas she bought at the first station, x, the number of gallons of gas she bought at the second station, y, and the total amount she paid? What are the possible values of y?
Answers
A)3.5x + 4y ≥ 45, y ≥ 11.25
B)3.5x + 4y ≥ 45, 0 ≤ y ≤ 10.375
C)3.5x + 4y ≤ 45, 0 ≤ y ≤ 11.25
D)3.5x + 4y ≤ 45, y ≥ 10.375

Answers

 the correct answer is c

Answer:

Option C is correct.

Step-by-step explanation:

Alina spent no more than $45 on gas for a road trip.

Let gallons bought at first station be = x

Let gallons bought at the second station be = y

The first gas station she used charged $3.50 per gallon and the second gas station charged $4.00 per gallon.

Equations become: 3.50x and 4y

Total money spent on gas is no more than $45.

So, complete equation is given as:

[tex]3.50x+4y \leq 45[/tex]

To know the possible value of y let us assume she bought all the gas from second station.

[tex]4y\leq 45[/tex]

[tex]y\leq 11.25[/tex]

As the number of gallons can not negative, range is:

[tex]0\leq y\leq 11.25[/tex]

Therefore, option C is correct.

Multiply (4+I)(1-5i)

Answers

The rule to remember for this problem is: i^2 = -1
(4 + i)(1 - 5i)
4 - 20i + i - 5i^2
4 - 19i + 5
9 - 19i

Answer:

9 - 19i

Step-by-step explanation:

the radius of the circle is πcm. the base of the triangle is πcm . the area of the circle equals the area of the triangle. what is the height of the triangle

Answers

Area of the circle: πr^2
π(π)^2= π^3

Area pf triangle: Bh/2
πh/2

π^3= πh/2

Multiply both sides by 2
2π^3= πh

Divide both sides by π
2π^2=h

Final answer: height= 2π^2
To solve for the area of a circle we use this formula:
π*radius^2
Since we know that radius=π, we can rephrase the formula to this:
π*π^2
 
Follow BEDMAS to solve
π*9.8696044
=31.0062767

The area of the circle is 31.0062767 centimeters.

To find the height of the triangle using the information we have gathered, we can create an equation.
The formula to find the area of a triangle is:
base*height/2

Lets input the information we know:
π*h/2=31.0062767

Solve for h
(π*h/2)*(2) =(31.0062767)*(2)
π*h=(31.0062767)*(2)
π*h=62.0125534
(π*h)/(π)=(62.0125534)/(π)
h=(62.0125534)/(π)
h=19.7392088

The height of the triangle would be 19.7392088 centimeters.

Hope this helps!
-Benjamin


scientific notation of 19 hundred thousandths

Answers

Answer
1.9×〖10〗^(-4)

Explanation
A number is said to written in scientific notation when it is in the form A×〖10〗^n, where 1≤A<10 and n is an integer.
In this case,
19 hundred thousandths =19/100,000=0.00019
0.00019=1.9×〖10〗^(-4)
19 hundred thousandths to scientific notation = 1.9×〖10〗^(-4) 

Final answer:

The scientific notation of 19 hundred thousandths (0.0019) is 1.9 × 10⁻³, accomplished by moving the decimal point three places to the right.

Explanation:

The scientific notation of the number 19 hundred thousandths, which is written as 0.0019 in decimal form, involves expressing it as the product of a number between 1 and 10 and a power of 10. To convert to scientific notation, we must move the decimal point three places to the right, which will change the number to 1.9. Since we moved the decimal point to the right, the exponent will be negative. Therefore, 0.0019 in scientific notation is 1.9 × 10⁻³.

Cd tower is shaped like a cylinder and holds CDs in a diameter of 4.7 inches . If the cd tower is 12 inches tall what is the volume in cubic inches. Use 3.14 for pi. Round your answer to the nearest hundredth

Answers

CD tower is a cylinder in shape.
Height of CD tower is  = 12 inch
Diameter of CD which CD tower holds is = 4.7 inch
So we can say radius of CD is = 4.7/2 = 2.35 inch

So we can say it is cylinder in shape having height = 12 inch and radius = 2.35 inch.

In general volume of cylinder is
[tex]V = \pi r^2 h[/tex]
Where r is radius and h is height.
Now we can plugin r = 2.35 inch and h = 12 inch

[tex]V = \pi*(2.35)^2 * 12[/tex]
          [tex]= \pi * 5.5225 * 12 = 66.27* \pi[/tex]
in genera [tex]\pi = 3.14[/tex]
So [tex]V = 66.27 * 3.14 = 206.0997[/tex] cubic inch
So

Tickets to a concert cost 2$ for children and 5$ for adults. If 630 people attended the concert and ticket sales totaled 2,910$, how many children attended the concert

Answers

Look I only searched the answer but here it is.
80 childrens tickets and 550 adults tickets were sold.

c= children

a= adults

c+a = 630

c=630-a

2c + 5a = 2910

2(630-a) +5a=2910

1260-2a+5a=2910

1260+3a=2910

3a=1650

a = 1650/3=550

550 adult tickets

630-550 = 80 children's tickets


check:

550*5 = 2750

80*2=160

2750+160=2910

Is 7.6 repeating greater or less than square root 55

Answers

7.6 repeating is less than square root of 55
7.6 repeating is greater than the square root of 55 because the square root of 55 is 7.4
7.6>7.4

A regulation soccer goal net is 24 ft wide by 8 ft high. A soccer net for children is 6 ft wide. If the manufacturer wishes to keep the children's soccer net to scale, how tall should the children's net be? What is the scale factor? (round answer to two decimal places)

Answers

If the regular soccer goal was 24 ft wide and the kid soccer goal was 6 ft wide 6x4=24 so if you would do the same thing to the height the kid soccer goal would be 2 ft tall
Final answer:

To maintain the scale of a children's soccer net to that of a regulation net, the height should be 2 feet, given that the child-size net is 6 feet wide. The scale factor used is 0.25.

Explanation:

The question asks us to find the scaled dimensions for a children's soccer net based on the dimensions of a regulation soccer goal net. The original dimensions are 24 ft in width and 8 ft in height. If a children's soccer net is 6 ft wide and we want to keep the same scale, we need to calculate the height of the net in proportion to the regulation net's dimensions.

Height Calculation:

The scale factor is the ratio of the width of the children's net to the width of the regulation net. To find the height of the children's net, we multiply the height of the regulation net by the scale factor:

Scale Factor = Width of Children's Net / Width of Regulation Net

Scale Factor = 6 ft / 24 ft = 0.25

Height of Children's Net = Scale Factor × Height of Regulation Net

Height of Children's Net = 0.25 × 8 ft = 2 ft

Therefore, to maintain the scale, the height of the children's soccer net should be 2 feet, and the scale factor is 0.25.

compare the values of the underlined digets 6035 and 530 the digit is 3

Answers

In 6035, digit 3 = 30
In 530 , digit 3 = 30

so digit 3 in both numbers = 30(digit 3 value is same in both numbers)

Part A: If (72)x = 1, what is the value of x? Explain your answer.

Part B: If (70)x = 1, what are the possible values of x? Explain your answer.

Answers

72x = 1...divide both sides by 72
x = 1/72 <== basically, because a number multiplied by its reciprocal, is equal to 1

70x = 1...divide both sides by 70
x = 1/70 <== same thing as before, a number multiplied by its reciprocal equals 1

The solution of the equation 72x = 1 is 1/72 and 70x = 1 is 1/70.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The equation is given below.

72x = 1

Simplify the equation, then the value of x will be

72x = 1

x = 1/72

The equation is given below.

70x = 1

Simplify the equation, then the value of x will be

70x = 1

x = 1/70

Then the solution of the equation 72x = 1 is 1/72 and 70x = 1 is 1/70.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

characteristics of the graph of the absolute value parent function

Answers

every x value in the domain repeats once on each side of the vertex

I REALY NEED HELP!
In kite ABCD, m∠ACD=82°. What is m∠DCE?
1.)41°
2.)82°
3.)90°
4.)98°

Answers

Since ACD is equal to 82, then DCE would equal 41. This is because it is half of 82.

Answer:

(A)41°.

Step-by-step explanation:

We know that in Kite, the diagonals are the angle bisectors, therefore

In Kite ABCD, m∠ACD=82°, thus

[tex]m{\angle}DCE=\frac{1}{2}m{\angle}ACD[/tex]

Substituting the given value, we have

⇒[tex]m{\angle}DCE=\frac{1}{2}(82^{\circ})[/tex]

⇒[tex]m{\angle}DCE=41^{\circ}[/tex]

Therefore, the measure of m∠DCE is 41°.

Hence, option A is correct.

common ratio of fraction in geometric sequence?
5/12,-1/6,1/15,-2/75,4/375

Answers

to find the common ratio, u take ur 2nd term, and divide it by ur 1st term
(-1/6) / (5/12) =
-1/6 * 12/5 =
- 2/5 <== ur common ratio
Final answer:

The common ratio between each pair of terms in the given geometric sequence of fractions is -2/5.

Explanation:

A geometric sequence is a sequence of numbers in which each term after the first is found by multiplying the previous term by a constant factor called the common ratio. To find the common ratio in a geometric sequence of fractions, we divide each term by the previous term. Let's calculate the common ratios for the given sequence:

Common ratio between 5/12 and -1/6 = (-1/6) / (5/12) = -1/6 * 12/5 = -2/5Common ratio between -1/6 and 1/15 = (1/15) / (-1/6) = 1/15 * (-6/1) = -2/5Common ratio between 1/15 and -2/75 = (-2/75) / (1/15) = -2/75 * 15/1 = -2/5Common ratio between -2/75 and 4/375 = (4/375) / (-2/75) = 4/375 * (-75/2) = -2/5

As we can see, the common ratio between each pair of terms in the given geometric sequence of fractions is -2/5.

Learn more about common ratio of fraction in geometric sequence here:

https://brainly.com/question/32842770

#SPJ2

sharon and anthony dropped a stone from a 150-foot cliff. find the time, t, in seconds that it will take for the stone to reach the ground. let t=1/4 square root of s, where s represents the distance in feet the stone will fall.

Answers

Work:
(s = 150ft
t = 1/4 square root of s)
Square Root (150) = 12.2474487139
12.2474487139 ÷ 4 = 3.0618621785 = ~3.062

Final Answer: About 3.062 seconds.

Tommy and Zach are starting out at the same position. Tommy runs north at 3 miles per hour and Zach starts to run east 2 hours later at the rate of 4 miles per hour. How long until Tommy and Zach are 8 miles apart?

Answers

Okay, Tommy runs in a positive y direction at 3mph, and his position can be expressed as:

T=3t

Then Zach starts running two hours later at 4mph and his position can be expressed as:

Z=4(t-2)=4t-8

The distance between Tommy and Zach can be expressed as the hypotenuse length of a right triangle with the distances for Tommy and Zach being the lengths of the sides...

d^2=T^2+Z^2

d^2=(3t)^2+(4t-8)^2

d^2=9t^2+16t^2-64t+64

d^2=25t^2-64t+64, and we want to know when they are 8 miles apart

25t^2-64t+64=8^2

25t^2-64t+64=64

25t^2-64t=0

25t(t-2.56)=0

So 2.56 hours after Tommy started running they will be 8 miles apart.

To be clear though, this is the time Tommy spent running, or the time that elapsed since Tommy started running.  Zach has only been running for 0.56 hours.  So if they are looking for the time Zach ran it is 0.56 not 2.56 hours.

Zach=2 hours Tommy= 3 1/2 hours

which of the following is an example of a common topic.

A) anyone can be brave.

B) freedom takes sacrifice.

C) the box was broken.

D) bravery.

Answers

Can be.. anyone can be brave. letter a)

Answer:

D. Bravery

Step-by-step explanation:

Bravery is a general topic.

Leo spent the same amount of time working on each of 5 different weight machines and then spent 2/3 of an hour on the treadmill. If he spent a total of 1 3/4 hours at the gym, which shows the correct equation and solution for x, the number of hours Leo spent at each of the weight machines?

Answers

Let's break this down. We know that there are 5 weight machines, and Leo spent an equal amount of time on all of them. Since we don't know how long he spent on each, we'll use x. Our equation so far is 5x. Then, we know that he spent 2/3 hour on the treadmill, which we will just add to the 5x. So, now our equation is 5x + 2/3. Lastly, we know that the total time Leo spent at the gym is 1 3/4 hours, which we set the last equation equal to. Our final equation is 5x + 2/3 = 1 3/4. Then, all we have to do is solve for x. What we can do to make this easier is to change all of the fractions into numbers. After changing everything, here is our equation: 5x + 40 = 105. Then, we will subtract 40 from each side and divide both sides by 5. Therefore, Leo spent 13 minutes on each weight machine.

ANSWER:

A) 5x + 2/3 = 1 3/4 ; Leo spent 13 minutes at each machine

Hope this helps!! :)

If there's anything else that I can help you with, please let me know!

Final answer:

Solving for the time Leo spent on each weight machine involves setting up an equation based on the total gym time and subtracting the time spent on the treadmill, resulting in Leo spending about 13 minutes at each weight machine.

Explanation:

To solve for the amount of time Leo spent at each weight machine, we need to set up an equation based on the total time spent at the gym. First, we know that Leo spent 2/3 of an hour on the treadmill. With a total gym time of 1 3/4 hours (which is the same as 7/4 hours), we can subtract the treadmill time to find the time spent on the weight machines. Thus, the equation can be set up as follows:

5x + 2/3 = 7/4

To solve for x, the hours Leo spent at each weight machine, follow these steps:

Subtract 2/3 from both sides of the equation: 5x = 7/4 - 2/3

Find a common denominator for the fractions and subtract: 5x = 21/12 - 8/12

Simplify the right side: 5x = 13/12

Divide both sides by 5 to solve for x: x = 13/60 hours

This means Leo spent 13/60 hours, or about 13 minutes, at each of the 5 weight machines.

What is 14/28 in simplest form?

Answers

Hi!

The GCM of 14 and 28 is 7. 7 goes into 14 2 times, and goes into 28 4 times. So...

2/4

Which can be simplified further to 1/2

The answer is 1/2

Hope this helps! :)
14/28 divide both by 14 and you get 1/2 as you answer
 

Which line has the following intercepts?

x intercept = (3/7, 0)
y intercept = (0, -1.2)

A) 7x+6y = 3
B) 7x-6y = 3
C) 7x+6y = (-3)
D) 7x-6y = (-3)

Answers

B seems like the closest one, none of them have the y-intercept of (0,-1.2) but 7x-6y=3 had the x-intercept and a y-intercept of (0,-1/2) which is the closest one to -1.2
I believe that B is correct.

(14y) exponent of 4 simplify plz help

Answers

The exponent is they so you have to do 14x4

What are the fractions of 48

Answers

Alright, so 48/1=48, 48/2=24, 48/3=16, 48/4=12, 48/5= none, 48/6=8, and 48/7=none. As 7^2 = 49 is higher than 48, there are no more numbers to be able to find as they will return a factor already stated. The factors are 1, 48, 2, 24, etc..

is 113,724 divisible by 3,5,6,or9

Answers

You first divide all of them to see if you can get a whole number.
The answers would be 3, 6, and 9.

Write the relatioship between the values of the given digits
The 6s in 6,600

Answers

the 6s are in the thousands and hundreds

6000 + 600 + 00 + 0 

thousands, hundreds, tens, zero

hope this helps

A street that is 351ft long is covered in snow. City workers are using a snowplow to clear the street. The snowplow has tires that are 3.5ft in diameter. How many times does a tire have to turn in traveling the length of the street?

Answers

The circumference of a circle is πd, the constant pi times the diameter of the circle.

351ft(rev/(3.5π ft)≈31.92 revolutions

Triangle PQR is formed by the three squares A, B, and C:
Which statement best explains the relationship between the sides of triangle PQR?

(PQ)2 + (QR)2 = (PR)2, because 9 + 16 = 25
PQ + QR = PR, because 9 + 16 = 25
(PQ)2 + (QR)2 = (PR)2, because 52 + 32 = 42
PQ + QR = PR, because 52 + 32 = 42

Answers

The first choice if ()2 means to the power of two if not then it is none of them.

Answer:

A.[tex]PR^2=PQ^2+QR^2[/tex]

Because [tex]25=9+16[/tex]

Step-by-step explanation:

We are given that

Area of square A=[tex]9[/tex] square units

Are of square B=[tex]16[/tex] square units

Area of square C=[tex]25[/tex] square units

We have to find the relationship between sides of triangle PQR.

Side of square=[tex]\sqrt{Area\;of\;square}[/tex]

Using the formula

Side of square A=[tex]\sqrt{9}[/tex]=3 units

Side of square B=[tex]\sqrt{16}=4[/tex] units

Side of square C=[tex]\sqrt{25}=5[/tex] units

Pythagoras theorem

[tex](hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2[/tex]

Using Pythagoras theorem

[tex]PR^2=PQ^2+QR^2[/tex]

[tex]5^2=3^2+4^2[/tex]

[tex]25=9+16[/tex]

Option A is true

i need help on this math problem

Answers

Mean is sum/number of values
10+11+12+12+14+15+15+15=104
104/8=13
Final answer: 13

I dont understamd this problem please help------!

A work crew has a new pump and an old pump. The new pump can fill a tank in 5 hours, and the old pump can fill the same tank in 7 hours. Write and solve and equation for the time it will take both pumps to fill one tank of the pumps are used together.

Answers

Hello,

Let's [tex]D_1\ the \ outflow\ of\ the\ new\ pump\\ D_2\ the \ outflow\ of\ the\ old\ pump\\\\ V \ the\ volume \of\ the\ tank\\\\ D_1*5=V==\ \textgreater \ D_1= \dfrac{V}{5} \\ D_2*7=V==\ \textgreater \ D_2= \dfrac{V}{7} \\ D_1+D_2= \dfrac{V}{5}+ \dfrac{V}{7} \\ D_1+D_2= \dfrac{7*V}{35}+ \dfrac{5*V}{35} \\ D_1+D_2= \dfrac{12V}{35} \\ Time \ for \ the \2 \pumps=V=(D_1+D_2)*\dfrac{35}{12}==>2H55min[/tex]

The graph shows the height, y, in centimeters, of a plant after a certain number of weeks, x. Shania drew the line of best fit on the graph.

A graph titled Plant Height shows Number of Weeks on x axis and Height of Plant in cm on y axis. The scales on both x and y axes are shown from 0 to 5 at increments of 5. The graph shows dots at the ordered pairs 0, 1 and 0.5, 1.2 and 1, 1.4 and 1.5, 2 and 2, 2.4 and 2.5, 2.7 and 3, 3 and 3.5, 3.3 and 4, 3.5 and 4.5, 3.8 and 5, 4. A straight line joins the ordered pairs 0, 1 and 5, 4

What would most likely be the approximate height of the plant after 7 weeks?

5.2 centimeters
7.6 centimeters
8.7 centimeters
12.7 centimeters

Answers

You are given a a graph titled Plant Height that shows Number of Weeks on x axis and Height of Plant in cm on y axis. Plotting this and you will get an equation of y = 1.2792x - 0.1665 (I used excel using the given points from the above problem).

y = 1.2792x - 0.1665
y = 1.2792 (7) - 0.1665
y = 8.78 centimeters.

The most likely approximate height of the plant after 7 weeks is 8.7 centimeters.

Answer:

5.2 cm.

Step-by-step explanation:

Given :

Number of Weeks(x)     Height of Plant (y)

 0                                          1

0.5                                       1.2

  1                                         1.4

 1.5                                       2

  2                                        2.4

 2.5                                      2.7

  3                                        3

 3.5                                      3.3

  4                                        3.5

 4.5                                      3.8

  5                                         4

We are given that A straight line joins the ordered pairs 0, 1 and 5, 4

So, we will find the equation of line using two point slope form:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex](x_1,y_1)=(0,1)[/tex]

[tex](x_2,y_2)=(5,4)[/tex]

Substitute the values in the formula

[tex]y-1=\frac{4-1}{5-0}(x-0)[/tex]

[tex]y-1=\frac{3}{5}(x)[/tex] ---A

Now we are supposed to find e the approximate height of the plant after 7 weeks.

Substitute  x = 7 in A

[tex]y-1=\frac{3}{5}(7)[/tex]

[tex]y=\frac{3}{5}(7)+1[/tex]

[tex]y=5.2[/tex]

Hence  the approximate height of the plant after 7 weeks is 5.2 cm.

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