Step 1 : (5x-4)/2 = 2x-1 [Given]
Step 2 : ((5x-4)/2) × 2 = 2 × (2x-1) [Multiplicative Property of Equality i.e. by multiplying both sides of the equation by same number]
Step 3 : (5x-4) = 4x-2 [By Distributive Property]
Step 4 : 5x - 4 + 4 = 4x - 2 + 4 [By addition property of equality i.e. by adding both sides of the equation by same number]
⇒ 5x = 4x + 2
Step 5 : 5x - 4x = 4x + 2 - 4x [By subtraction property of equality i.e. by subtracting both sides of the equation by same number]
⇒ x = 2
Answer:
Step 1 : (5x-4)/2 = 2x-1 {Given}
__________________________________________________________
Step 2 : ((5x-4)/2) × 2 = 2 × (2x-1) {Multiplicative Property}
__________________________________________________________
Step 3 : (5x-4) = 4x-2 {Distributive Property}
__________________________________________________________
Step 4 : 5x - 4 + 4 = 4x - 2 + 4 {Addition property}
5x = 4x + 2
__________________________________________________________
Step 5 : 5x - 4x = 4x + 2 - 4x {Subtraction property}
x = 2
How to solve this equation 4(z + 5)=32
Answer:
Z=3
Step-by-step explanation:
divide both sides of the equation by 4
subtract 5 from both sides of the equation
4*(z + 5) = 32
4z + 20 = 32
4z = 32 - 20
4z = 12
z = 12 : 4
z = 3
A race horse that wins three 3200 meter cup in a time of 200 seconds. what is the race horses Average speed?
Answer:
16 meter per second.
Step-by-step explanation:
A race horse that wins three 3200 meter cup in a time of 200 seconds.
Since in 200 seconds horse can run = 3200 meter
Therefore, in 1 second horse can run = [tex]\frac{3200}{200}[/tex]
= 16 meter/second
1 hour = 3600 seconds
Therefore in 1 hour horse can run = 3600 × 16
= 57,600 meter/hour
The average speed of the horse would be 16 meter per second or 57,600 meter per hour.
20 POINTS
HELP ASAP
PLEASE
ONE PROBLEM
DONT ANSWER UNLESS YOUR SURE PLZ
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Solve. Note the equal sign. What you do to one side, you do to the other. Remember to follow PEMDAS.
First, distribute 5 to all terms within the parenthesis
5(w - 1) = (5)(w) + (5)(-1) = 5w - 5
Next, simplify. Combine like terms
5w - 5 - 2 = 5w + 7
5w - 7 = 5w + 7
Next, isolate the variable. Add 7 to both sides, and subtract 5w from both sides
5w (-5w) - 7 (+7) = 5w (-5w) + 7 (+7)
5w - 5w = 7 + 7
0 = 14 (Untrue).
0 solutions, or (A) is your answer
~Rise Above the Ordinary
Eva Maria borrowed money from her father and agreed to pay him 4% simple annual interest. At the end of 7 years, Eva Maria owes $1736 in interest. What amount did Eva Maria borrow from her father?
She had borrowed $248 from her father
Answer:
Step-by-step explanation:
7 times as many as 3,073
What is |6|-7?
What is |6-7|?
Please answer quickly!
its is -1. Even though the 6 is an absolute value. |6| is just 6-7
An airplane flew at an average rate of 600 miles per hour from Tokyo to Seattle. Because of a strong headwind, the average rate of the return trip was only 480 mph. The round trip took 18 hours. Which equation can be used to determine the time for each leg? 600t = 480t 600t = 18 – t 600t = 480 – t 600t = 480(18 – t)
600t = 480(18 – t) should be it
Answer:
Option D. 600t = 480( 18-t )
Step-by-step explanation:
An airplane flew at an average rate of 600 miles per hour fro Tokyo to Seattle.
Let the airplane travels for t hours so distance covered by the airplane will be = speed × time
= 600t miles
Similarly, average speed in return trip was 480 mile/hour. So distance covered in return trip = speed × time
= 480 ( 18-t ) [ since time taken by plane in round trip was 18. So time taken in return trip will be ( 18-t) ]
Therefore, distance traveled in one trip = distance covered in return trip
600t = 480( 18-t )
Option D is the answer.
Joe says that the product of a 4 digit number and a 1 digit number is always a 4 digit number does Joe's statement makes sense?
No, what Joe said isn't necessarily true. Though it is common that the product will be a 4 digit number, because you can use any number, like a large 4 digit number like 9999 or a large 1 digit number like 9, that isn't true. For instance: "9999 x 9" is 89991 which is 5 digits instead of 4 because "9999" is the biggest 4 digit number and "9" is the biggest "1" digit number.
How to solve the equation
Frst do the "()" and
3-2= 1
mulitply 2*1
divide 2/1
3-2
ANSWER 1
write an expression you can use to convert 2.5 gallons to quarts
To convert 2.5 gallons to quarts, multiply by 4 (quarts/gallon).
Explanation:To convert 2.5 gallons to quarts, you can use the fact that there are 4 quarts in 1 gallon. So, multiplying 2.5 gallons by 4 quarts per gallon gives you the answer:
2.5 gallons * 4 quarts/gallon = 10 quarts
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Lori creates the following design for a T-shirt.
Lori found the areas of Triangle 1 and Rectangle 1. Find the areas of the remaining figures.
The area of Rectangle 1 is 8.68 square inches.
The area of Triangle 1 is 6.48 square inches.
The area of Rectangle 2 is ... square inches.
The area of Triangle 2 is ... square inches.
The area of the whole figure is ... square inches.
Solution-
From the figure,
AE = 2.4
EB = 2.8
BC = 11.7
Area of rectangle 1 = 8.68 sq.in
[tex]\Rightarrow FH \times HI=8.68[/tex]
[tex]\Rightarrow EB \times HI=8.68[/tex] (∵ sides of the rectangle 2)
[tex]\Rightarrow 2.8 \times HI=8.68[/tex]
[tex]\Rightarrow HI=3.1[/tex]
Area of Triangle 1 = 6.48 sq.in
[tex]\Rightarrow \frac{1}{2}\times AE \times EG= 6.48[/tex]
[tex]\Rightarrow \frac{1}{2}\times AE \times (EF+FG)= 6.48[/tex]
[tex]\Rightarrow \frac{1}{2}\times AE \times (EF+HI)= 6.48[/tex] (∵ sides of the rectangle 1)
[tex]\Rightarrow EF+3.1= 5.4[/tex]
[tex]\Rightarrow EF=2.3[/tex]
[tex]\Rightarrow BH=2.3[/tex] (∵ sides of the rectangle 2)
[tex]BC = BH+HI+IC[/tex]
[tex]\Rightarrow 11.7= 2.3+3.1+IC[/tex]
[tex]\Rightarrow IC=6.3[/tex]
The area of Rectangle 2,
[tex]=EB\times BH =2.8\times 2.3=6.44\ sq.in[/tex]
The area of Triangle 2,
[tex]\frac{1}{2}\times GI \times IC=\frac{1}{2}\times EB \times IC=\frac{1}{2}\times 2.8 \times 6.3=8.82\ sq.in[/tex]
The area of the whole figure = Area of Triangle 1 + Area of rectangle 1 + Area of Triangle 2 + Area of rectangle 2
= 6.48+8.68+8.82+6.44=30.42 sq.in
If a(x) and b(x) are linear functions with one variable, which if the following expressions produced a quadratic function?
[tex]ax^2+bx+c[/tex] Is the answer because it has no other side like [tex]ax^2+bx+c=12[/tex]
Enter the missing numbers in the boxes to complete the table of equivalent ratios. Number of Servings Liters of Punch 8 2 4 20 7
8 2
? 4
20 ?
? 7
Answer:
8 l 2
16 l 4
20 l 5
28 l 7
Step-by-step explanation:
Half of the liters of punch is 4 so just add 4 to each answer you get but if you get mixed up with numbers start from the begining like 2+2
✧ω✧
To complete the table of equivalent ratios, we need to calculate the missing values based on the given ratios of servings and liters of punch. The ratio between servings and liters is 4:1, so we can use that to find the missing values. For 4 servings, there will be 1 liter of punch, and for 20 servings, there will be 5 liters of punch.
Explanation:To complete the table of equivalent ratios, we need to find the missing values. Let's fill in the missing numbers based on the given ratios:
Number of Servings:
8??20Liters of Punch:
24??From the given values, we can see that the ratio between the number of servings and liters of punch is the same. So, to find the missing values, we need to find a common ratio. Let's calculate:
8 servings / 2 liters = 4 servings / 1 liter
This means that for every 4 servings, there is 1 liter of punch. Based on this ratio, we can find the missing values:
For 4 servings, there will be 1 liter of punch.
For 20 servings, there will be 5 liters of punch.
the morning shift at the point grocery store is 6.5 hours long if the cashiers make 10.25 per hour how much do they make each shift
Answer:66.63 is the answer
Step-by-step explanation:
One minute after takeoff, an airplane’s altitude was 4,000 feet. Three minutes later, it was 20,000 feet. What was the plane’s average altitude change, in feet per minute, during those three minutes?
The average altitude change per minute would be around 5,300 feet per minute.
81 x 1/9 =
How do you solve this^^^^
First multiply then divide
81÷9
=9
What you do is you make 81 into 81/1 then multiply it by 1/9. you get 81/9 which as a whole number is 9.
The expression in the form 9n
Please help me :(( 35 POINTS!!!
What is the solution to the inequality? Show work!
-2/3 (2x - 1/2)<= 1/5x - 1
the third grade at millbridge school has 179 students. if there are ten more 4th graders than 3rd graders, and thirty more 5th graders than 3rd graders. how many students are in 3rd, 4th, and 5th grade?
179 students in 3rd grade, 189 4th graders, and 209 5th graders. 577 students total!
Answer:
179 students in 3rd grade, 189 4th graders, and 209 5th graders.
Step-by-step explanation:
577 students total
How to work out 189,232÷8
The answer would be 23,654.
Use long divison to figure it out or a calcualtor.
Jimmy knows that to pass the fitness test he needs to be able to run 5 kilometers in 35 minutes. His pace monitor measures in miles. If he can run 3 miles in 35 minutes, will he pass his fitness test? Why or why not?
A) Yes, he will pass because he is running 5.2 km in 35 minutes.
B) Yes, he will pass because he is running 8.7 km in 35 minutes.
C) No, he will not pass because he is running 4.8 km in 35 minutes.
D) No, he will not pass because he is running 1.875 km in 35 minutes.
Jimmy, who can run 3 miles (roughly equivalent to 4.8 km) in 35 minutes, will not pass the fitness test as it requires running 5 kilometers in the same period.
Explanation:The question is asking if Jimmy can pass the fitness test of running 5 kilometers in 35 minutes if he can run 3 miles in the same amount of time. In order to answer this question, we need to convert miles to kilometers. One mile is approximately equal to 1.60934 kilometers. So if Jimmy runs 3 miles, that's equivalent to 3 * 1.60934 = 4.82802 kilometers.
Therefore, the correct answer is C) No, he will not pass because he is running 4.8 km in 35 minutes. Despite his good effort, Jimmy is running less than the required 5 kilometers in 35 minutes based on the fitness test standards.
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Jimmy will not pass his fitness test by running 3 miles in 35 minutes, as this converts to approximately 4.82802 kilometers, which is less than the required 5 kilometers. Option C) is the correct answer.
Jimmy needs to know if running 3 miles in 35 minutes will allow him to pass his fitness test, which requires him to run 5 kilometers in 35 minutes. To determine if he will pass, we need to convert miles to kilometers. Since 1 mile is approximately 1.60934 kilometers, we multiply 3 miles by this conversion factor:
3 miles imes 1.60934 km/mile = 4.82802 km
So, Jimmy runs approximately 4.82802 kilometers in 35 minutes. Comparing this to the fitness test requirement of 5 kilometers in 35 minutes:
4.82802 km < 5 km
Thus, Jimmy will not pass the fitness test based on his current pace, as he runs just under the required distance in the allotted time.
The answer to the question is: C) No, he will not pass because he is running 4.8 km in 35 minutes.
Find the slope of the line that passes through points (9,8) and (4,-2).
You can find the slope of the two points with the following formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Substitute the corresponding values into the equation.
[tex]m=\frac{-2-8}{4-9}[/tex]
[tex]m=\frac{-10}{-5}[/tex]
[tex]m=2[/tex]
The slope of the line is 2.
Phillip bought apples from the grocery for $2.20 per pound. If he bought 2.5 pounds of apples on Monday and 1.2 pounds of apples on Tuesday, how much did he spend on apples in total?
In one season, the top four players on one major league team had batting averages of 0.332, 0.361, 0.343, and 0.368. Which is the highest average?
the highest average is 0.368
Answer:
0.368 is the highest average.
Step-by-step explanation:
We have been given the batting averages of the 4 top players on one major league team as 0.332, 0.361, 0.343, and 0.368. We are asked to choose the highest average from given choices.
Let us represent our given averages as fractions as:
[tex]\frac{332}{1000},\frac{361}{1000},\frac{343}{1000},\frac{368}{1000}[/tex].
Now we can see that 1st player hit 332 in 1000 at bats, 2nd player hit 361 in 1000 at bats, 3rd player hit 343 in 1000 at bats and 4th player hit 368 in 1000 at bats.
Clearly, 368 is the greatest number of our given choices, therefore, the highest average is 0.368.
A candy store sells mints in 1/4, 1/2 , and 3/4 lb packages. John purchases several packages of each weight.
What is the total weight of each purchase?
Enter a whole number or a mixed number in simplest form to correctly complete the sentence.
6 packages of the 1/4 lb package weigh ___ lb.
8 packages of the 1/2 lb package weigh ___ lb.
7 packages of the 3/4 lb package weigh ___ lb.
For this problem, just multiply the fractions by the amount of packages purchased.
6 * 1/4 = 1 1/2
8 * 1/2 = 4
7 * 3/4 = 5 1/4
the length of a rectangle is 5 less than twice its width. if the perimeter is 26 meters, find the dimensions of the rectangle
The width of the rectangle is 6 meters and the length is 7 meters.
Explanation:To solve this problem, let's assume that the width of the rectangle is represented by w. The length of the rectangle can be written as 2w - 5. The perimeter of a rectangle is given by the formula P = 2l + 2w, where P represents the perimeter, l represents the length, and w represents the width. We are given that the perimeter is 26 meters, so we can set up the equation:
26 = 2(2w - 5) + 2w
Simplifying this equation gives:
26 = 4w - 10 + 2w
Combining like terms:
26 = 6w - 10
Adding 10 to both sides:
36 = 6w
Dividing both sides by 6:
w = 6
Therefore, the width of the rectangle is 6 meters. To find the length, substitute the value of w back into the expression for the length:
l = 2w - 5
l = 2(6) - 5
l = 7
So the dimensions of the rectangle are width = 6 meters and length = 7 meters.
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The problem is solved by setting up an algebraic equation based on the given pointers about the rectangle's width, length, and perimeter. After solving it, we find that the rectangle's dimensions are: width=6 meters and length=7 meters.
Explanation:
This is a problem of algebra within the subject of Mathematics. The width and length of the rectangle are the unknowns we need to find.
Given in the problem, the length is '5 less than twice its width'. If we denote the width as 'x', the length can be expressed as '2x - 5'. The equation for the perimeter of a rectangle is '2(length + width)', which equals 26 in this case. So we can set up our equation as follows: 2(x + 2x - 5) = 26.Solving this equation step-by-step:
Firstly, unfold the parentheses - 2x + 4x - 10 = 26, Then combine like terms to simplify it into 6x - 10 = 26. Add 10 to both sides of the equation to isolate the term with 'x', which results in 6x = 36. Finally, divide by 6 on both sides to find the value of 'x', so x=6. Substituting x=6 into the expression for the length, we find the length to be 2*6 - 5 = 7.Therefore, the dimensions of the rectangle are width=6 meters and length=7 meters.
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Find the 15th term in the Arithmetic Sequence An = 3n-7
Question 1 options:
7
38
-2
Find the 10th term in the Arithmetic Sequence -2, -5, -8, -11
Question 2 options:
-10
-29
-21
Looking at the figure below, find the 6th term for this pattern:
Question 3 options:
4x - 3
x + 9
x - 4
Given a term in a geometric sequence and the common ratio find the first five terms and the formula representing the nth term. A1 = 4, r = 5
Question 4 options:
First Five Terms: 4, 9, 13, 18, 23;
an=5*4n−1;a1=4
First Five Terms: 4, 20, 100, 500, 2500;
an=4*5n−1;a1=4
First Five Terms: 20, 25, 30, 35, 40;
an=4*5n−1;a1=4
You visit the Grand Canyon and drop a penny off the edge of a cliff. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and so on in an arithmetic sequence. How far from the cliff will the penny be at 6 seconds after it is initially dropped?
Question 5 options:
128
150
176
After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 6 minutes per day. How many weeks will it be before you are up to jogging 60 minutes per day?
Question 6 options:
n = 9
n = 12
n = 60
The answer to this question is on my profile
Answer:
Hello, I was wondering can someone help me with those questions to? I could really use the help! thank you.
Step-by-step explanation:
what is the maximum value of 5x+2y in the feasible region
Matthews bother has d dollars. Matthew has 5 more than twice the number of dollars his brother has. If Matthew has $35, how much does his brother have? I will give you 100 points!!
It should be 75 or 15?
The equation to this problem would be (2n+5=d)?
So since Mathew has twice the number of dollars his brother has, you would replace n with 35. 2*35=5=d which equals 70+5=75. But I don't really understand what the question is asking, so it could be 15 too.
A rectangle has a width of 7.9ft and a perimeter of 27.2 Ft enter the length of the rectangle, in decimal form in the box
Answer:
The length is 5.7 feet.
Step-by-step explanation:
A rectangle has a width of 7.9 feet and a perimeter of 27.2 feet.
Let the length be = x
Perimeter is given by :
[tex]P=2(L+W)[/tex]
We get;
[tex]27.2=2(x+7.9)[/tex]
=> [tex]27.2=2x+15.8[/tex]
=> [tex]2x=11.4[/tex]
Dividing both sides by 2 to get x;
x = 5.7 feet
Hence, length is 5.7 feet.