Answer:
To solve this equation your goal is to get x by itself
First we need to distribute the 3 through the (2x-7)
x-6x+21=76 (-3*2x=-6x, -7*-3=21)
Your next step is to combine like terms
-5x+21=76 (x-6x=-5x)
Next subtract 21 from both sides
-5x=55 (21-21=0, 76-21=55)
Last you need to divide both sides by -5
x=-11 (-5/-5=1, 55/-5=-11)
x=-11
Hope this helps ;)
The solution to the given equation x - 3(2x - 7) = 76 is x = -11.
The equation is given as follows:
x - 3(2x - 7) = 76
First, distribute the 3 to the terms inside the parentheses:
x - 6x + 21 = 76
Combine like terms:
-5x + 21 = 76
Subtract 21 from both sides:
-5x = 76 - 21
-5x = 55
Divide both sides by -5 to solve for x:
x = 55 / -5
x = -11
Therefore, the solution to the given equation x - 3(2x - 7) = 76 is x = -11.
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The complete question is as follows:
Solve the below equation.
x - 3(2x - 7) = 76
Write a word problem that can be solved using the equation 0x4=0. Then solve
The given mathematical equation, 0x4=0, can be turned into a word problem concerning a person with no money multiplying his funds. The result, as the equation suggests, is still no money, demonstrating that anything multiplied by 0 equals 0.
Explanation:Let's create a word problem for the equation 0x4=0. Suppose Jack has no money (0 dollars) and he multiplies his money by 4. How much money does Jack have now? The equation to represent this situation is 0x4=0. That is, 0 (Jack's money) times 4 equals 0. So, Jack still has no money. This shows that anything multiplied by 0 is always 0, a fundamental rule in mathematics.
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Final answer:
To solve the word problem, we can use the equation 0x4=0. The solution is x = 0, which means that all the marbles will be left in the bag.
Explanation:
Solving a Word Problem using the Equation 0x4=0
Let's say we have a bag of marbles, and we want to find out how many marbles are left if we take 0 out of 4 marbles. To solve this problem, we can use the equation 0x4=0. According to the equation, no matter how many marbles we take (which is represented by 0), the result will always be 0. This means that in our case, all the marbles will be left in the bag, and none will be taken out.
Solution:
x = 0
A math class has 5 girls and 5 boys in the seventh grade and 5 girls and 7 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. What is the probability that the students she selects are both girls? Write your answer as a fraction in simplest form.
Final answer:
The probability that the students selected are both girls is 5/24.
Explanation:
To find the probability that both students selected are girls, we need to calculate the probability of selecting a girl from the seventh grade and a girl from the eighth grade and then multiply those probabilities together.
The probability of selecting a girl from the seventh grade is 5 girls out of 10 students, which can be expressed as 5/10 or 1/2.
The probability of selecting a girl from the eighth grade is 5 girls out of 12 students, which can be expressed as 5/12.
To find the probability of both events happening, we multiply the probabilities together: (1/2) * (5/12) = 5/24.
Therefore, the probability that the students selected are both girls is 5/24.
A car drives 195miles in 3hrs and 15mins what’s the average speed of the car
Answer:
60
Step-by-step explanation:
195mi / 3.25hr = 60 mi/hr60
Answer: 0.0166666666 recurring
Mph
Step-by-step explanation:
Enter the fraction 33100 as a decimal
Answer:
0.33
Step-by-step explanation:
If you have the number 1 and divide it by 100, you get 1/100, 0.01, or 1% of 1. If you multiply 1/100 by 33, you get 33/100, 0.33, or 33% of 1.
Solve for x (x+4)7/3=128
Answer: User got this. x=50+6/7 is the Answer.
Step-by-step explanation:
Step 1) Move all terms to the left:
(x+4)7/3-(128)=0
2) Multiply all the terms by the denominator
(x+4)7-128*3=0
3) Add all the numbers together, and all the variables
(x+4)7-384=0
4) Multiply parentheses
7x+28-384=0
5) Add all the numbers together, and all the variables
7x-356=0
6) Move all terms containing x to the left, all other terms to the right
7x=356
x=356/7
x=50+6/7
what is 1/4 + 3/7? please explain how to solve it.
Answer: 19/28
Step-by-step explanation: Notice that 1/4 and 3/7 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.
The common denominator of 4 and 7 will be the least common multiple of 4 and 7 which is 28.
To get a 28 in the denominator of 1/4, we multiply the numerator and the denominator by 7 which gives us 7/28.
To get a 28 in the denominator of 2/7, we multiply the numerator and the denominator by 4 which gives us 12/28.
Now to add like fractions or fractions that have the same denominator, we simply add the numerators and keep the original denominator.
So here, we have 7 + 12 which is 19 and we put this over our original denominator which is 28.
So, 1/4 + 3/7 = 19/28.
PLEASE HELP ME MAKE HONOR ROLL PLEASE NEED HELP
Translate this phrase into an algebraic expression.
71 less than twice Julie's age
Use the variable j to represent Julie's age.
Answer:
71 < 2 · j
Step-by-step explanation:
71 less than twice Julie's age
Use the variable j to represent Julie's age.
71, less than (<) twice (2) and j represents the age
your brother traveled 200 miles in 4 hours to come home from school party. what's the average speed that he was traveling?
PLEASE.HELP ASAP. STEP BY STEP PLZ. Suppose the distance in miles traveled from home to school is 15 miles. suppose it takes 36 minutes. Find the time in hours traveled from home to school. The minutes can be
divided by 60 to get hours. For example 45 minutes = 45/60 =0.75 hours. Write the answer at a
number only with a zero before the decimal, ie.0.75.
|1/2(16−6^3)| plz help
Answer:
I believe the answer to this question is: 100.
Which polygon has exactly one pair of parallel sides? A. rectangle B. trapezoid C. parallelogram D. square
Answer:
B. trapezoid
Step-by-step explanation:
The other three have two pairs of parallel sides
Answer:
B
Step-by-step explanation:
mrs. sorbel has 25 students in her class .21 students are wearing their badges. what percent of mrs.sorbels class is not wearing their badge
Answer:
84% I believe
Step-by-step explanation:
Answer:
84%
Step-by-step explanation:
You take the 21 students with badges and multiply by 100. You get 2,100, take that and divided by 25. You get 84 percent ( I think it’s the answer so sorry if it’s wrong)
What is the solution of the system?
10x−2y=24
6x+2y=8
Enter your answer in the box, as an ordered pair
Answer:
The solution is (2, -2)
Step-by-step explanation:
Let's find out the solution of the system:
10x − 2y = 24
6x + 2y = 8
Describing x in terms of y in the first equation, this way:
10x − 2y = 24
10x = 24 + 2y
x = 2 * (12 + y)/10 (Dividing by 10 at both sides)
x = (12 + y)/5 (Simplifying)
Solving for y in the 2nd equation:
6x + 2y = 8
6 * (12 + y)/5 + 2y = 8
(72 + 6y)/5 + 2y = 8
72 + 6y + 10y = 40 (Multiplying by 5 at both sides)
16y = 40 - 72
16y = -32
y = -2
Solving for x in the 1st equation:
10x − 2y = 24
10x - 2 * -2 = 24
10x + 4 = 24
10x = 24 - 4
10x = 20
x = 20/10
x = 2
The solution is (2, -2)
Show how to use mental
Math to find 513 - 198
Answer:
311
Step-by-step explanation:
you could try to round it for example 510-200=310
310+3=313
313-2=311
The sum of two numbers is thirty seven. Using x to represent the larger of two numbers, translate “the difference between nine more than twice the larger number and the sum of the smaller number and three” into a variable expression
Two numbers = 37
Larger number is x, so the smaller number is 37 - x:
x + (37 - x) = 37
“The difference” is subtraction, so we are subtracting the smaller and larger number.
“Nine more than twice the larger number” looks like 9 + 2x, and “the sum of the smaller number and three” looks like (37 - x) + 3. Because this is subtraction, we would write (9 + 2x) - (37 - x) + 3. First, distribute the negative sign:
-(37 - x) = -37 + x
We then simplify:
9 + 2x - 37 + x + 3 (subtract 3)
9 + 2x - 34 + x
-25 + 2x + x (subtract 8 and 34 then add 2x and x)
-25 + 3x
The variable expression for the given problem, where x is the larger number and the sum of two numbers is thirty-seven, is 2x + 9 - (37 - x + 3).
The student is asking to translate a word problem into a variable expression. The problem states that the sum of two numbers is thirty-seven and defines the larger number as x. We want to find the expression for "the difference between nine more than twice the larger number and the sum of the smaller number and three". Knowing that the sum of the two numbers is thirty-seven, we can represent the smaller number as 37 - x. Therefore, the expression would be 2x + 9 - (37 - x + 3).
What happens to the acidity of solutions A and B after
dry ice is added?
Acidity Changes after Dry Ice is Added
Timesec)
PM of Solution pH of Solution
The pH of solution A decreases, and the pH of
solution B increases.
8.5
The pH of solution A increases, and the pH of
solution B decreases.
The pH of solution A increases, and the pH of
solution B increases
8.0
102
72
The pH of solution A decreases, and the pH of
solution B decreases
9.6
6.5
90
Bill works in a hardware store. sixteen hours represent 40% of bills work week. How many hours does bill work in one week?
Help ASAP with these
Answer:
Therefore the correct assembling is
3.∠DAC ≅ ∠BCA 3. Alternate interior Angles are Equal as AD || BC.
Step-by-step explanation:
Given:
AD ≅ BC and AD || BC
To Prove:
ABCD is a Parallelogram
Proof:
Alternate Interior Angles Theorem :
"When two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.
Here AD || BC and the transversal is AC
Statement Reasons
1. AD ≅ BC . 1. Given
2. AD || BC 2. Given
3.∠DAC ≅ ∠BCA 3. Alternate interior Angles are Equal as AD || BC.
Therefore the correct assembling is
3.∠DAC ≅ ∠BCA 3. Alternate interior Angles are Equal as AD || BC.
WILL GIVE BRAINLY
The equation of the line of best fit of a scatter plot is y = -5x - 2. Vhat is the slope of the equation?
Answer:
A line of best fit is a straight line that best represents the data on a scatter plot. The equation of the best fit line is y = ax + b. In this form, a is the slope of your best fit line and b is the y-intercept.
Answer:-5
Step-by-step explanation:
this is because it’s the X value. That’s the slope
1.5x=3 whats the answer
Answer:
To find the value for x you need to get x by itself
To do this we need to do the opposite of what it is showing
1.5 times x the opposite would be dividing
So we need to divide 1.5 from each side (what you do to one side you do to the other)
1.5x/1.5=x (x is now by itself)
3/1.5=2
x=2
Hope this helps ;)
What is the distance between (8, -3) and (4, – 7)?
Answer:
4
Step-by-step explanation:
using
[tex] \sqrt{(x2 - x1) + (y2 - y1)} [/tex]
[tex] \sqrt{(8 - 3) + (4 - ( - 7)} [/tex]
[tex] \sqrt{5 + 11} [/tex]
[tex] \sqrt{16} [/tex]
[tex] = 4[/tex]
Answer:
[tex]\sqrt36[/tex]
Step-by-step explanation:
I got it right on the test
The volume of industrial production increased ten times. What was this increase in percent?
Answer:
1000%
Step-by-step explanation:
Think of 1x10. This is kinda hard to explain but if lets say 1 is 100% of the total number then you mutiply it by 10 you also mutiply the percent which in this case was 100% of 1.
900 % is the correct answer UvU
Have a good day!
I have to wake up at 5am and it’s 11pm can someone please help me with this so I can go to bed please
Answer:
the 11th week.
Step-by-step explanation:
the expression for the markdown on the 8th week is p-.15p=.85p since it will get marked down 15% on the 8th week. the expression for the additional markdowns is p-.05p=.95p since it will get marked down an additional 5% every week after the 8th week.
On the 8th week it will be marked down to .85(150) = 126.50.
9th week: .95(127.50) = 121.13
10th week: .95(121.13) = 115.07
11th week: .95(115.07) = 109.32
109 is under 110 therefore it is the 11th week.
Quotient of 4 and a number increased by 10
Answer:
x+10/
Step-by-step explanation:
Quotient of 4 =divide by 4
a number increased by 10= x+10
The statement 'Quotient of 4 and a number increased by 10' can be translated into a mathematical expression as 4/x + 10, where x is the unknown number.
Explanation:If you mean the quotient of 4 and a number, we call that unknown number 'x'. So, the quotient of 4 and a number x is written as 4/x. Then, according to your question, that quotient is increased by 10. In mathematics, 'increased by' typically equates to the operation of addition. Thus, the entire expression translates into mathematical terms as 4/x + 10.
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PLEASE I NEED TO KNOW ASAP
i know this is probably easy but i don’t understand it.
1.666666667x10^3 in 1 decimal place not in standard form
would it be something like 1.06
3,400,000
I thaink but not shore if wrong i'm sorry
Answer:
666.6
Step-by-step explanation:
1.666666667*10^10^3= 666.6
a taxi driver earns $9 per 1 hour work. if he works 10 hours a day and in 1 hour he uses 2-liters petrol with price $1 for 1-liter. how much money does he earn in one day?
a. 90
b. 88
c. 70
d. 60
Final answer:
The taxi driver earns $70 in one day after deducting the cost of petrol from his gross income.
Explanation:
To calculate the taxi driver's earnings, we need to consider his hourly wage, the number of hours worked, and the cost of petrol used during the day. The driver earns $9 per hour and works for 10 hours a day. Thus, his total gross income for the day is $90 (9 dollars/hour times 10 hours). However, he also uses petrol for which he incurs a cost. He uses 2 liters per hour, and since petrol costs $1 per liter, he spends $2 per hour on petrol. Over 10 hours, he thus spends $20 on petrol (2 dollars/hour times 10 hours). To find his net earning, we subtract the petrol cost from the gross income: $90 - $20, which equals $70.
Max takes a taxi to work one day. The taxi charges. A $6 flat fee plus $0.25 per mile. Max wants to spend exactly $12.50. How many miles will he travel in the taxi for this amount?
16.3k + 19.2 + 7.5k = -64.1
You need to find "k", by isolating/getting "k" by itself in the equation
16.3k + 19.2 + 7.5k = -64.1 First combine like terms, 16.3k and 7.5k
23.8k + 19.2 = -64.1 Subtract 19.2 on both sides
23.8k = -83.3 Divide 23.8 on both sides to get "k" by itself
k = - 3.5
Determine the general form of the equation for the circle x^2 + (y + 1)^2 = 2.
Answer:
x² + y² + 2y - 1 = 0
Step-by-step explanation:
The general form of the equation for the circle:
x² + y² + ax + by + c = 0
Where: a, b and c are constants.
For the given equation:
x² + (y + 1)² = 2
∴ x² + (y + 1) (y+1) = 2
∴ x² + y² + 2y + 1 = 2 ⇒ subtract 2 from both sides
∴ x² + y² + 2y + 1 - 2 = 2 - 2
∴ x² + y² + 2y - 1 = 0
So, the general form of the equation for the circle:
x² + y² + 2y - 1 = 0
Please help on this 8 questions ASAP
Answer:
2. either of two angles whose sum is 180°.
3. each of the pairs of opposite angles made by two intersecting lines.
4. Two angles are adjacent when they have a common side and a common vertex (corner point) and don't overlap.
5. The acute angle is an angle less than 90°
6. It is more than 90° and less than 180°.
7. an angle of 90°
8. an angle of 180°