Answer:
Equation: 4(2) + 2x = 20
Step-by-step explanation:
Subtract 8 from both sides
2x = 12
Divide both sides by 2
x = 6
She did 6 hours of chores on Sunday
The equation will be 4(2) + 2x = 20. Hence, She did 6 hours of chores on Sunday.
What is the solution for an equation?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of that variable would give a true mathematical statement.
Divina gets paid two dollars per hour to do her chores this weekend.
she did chores on both Saturday and Sunday.
she made a total of $20 Divina Worked for four hours on Saturday.
Let x equal hours spent doing chores on Sunday.
The equation will be
4(2) + 2x = 20
Subtract 8 from both sides
4(2) + 2x - 8 = 20- 8
2x = 12
Divide both sides by 2
x = 6
Hence, She did 6 hours of chores on Sunday.
Learn more about solving equations here:
https://brainly.com/question/13072448
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A bag contains five ping-pong balls numbered 1 to 5. Two balls are removed to form a two digit number. The smallest possible number is 12 and the largest is 54. What is the probability that the number formed is prime? (hint: Write out the entire sample space)
Answer:
[tex]\frac{11}{42}[/tex] or 26.19%
Step-by-step explanation:
If the range of possible numbers is between 12 and 54 then that means that there are 42 (54 - 12) possible numbers that can be made. In this range, there are 11 prime numbers which are the following...
13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53
Therefore, the probability that the number formed is a prime would be [tex]\frac{11}{42}[/tex] which if we divide and multiply the decimal by 100 we get the probability in percentage form.
[tex]\frac{11}{42}[/tex] = 0.2619
0.2619 * 100 = 26.19%
Finally, we can see that the probability of this happening is 26.19%
hanna can wrap 10 boxes 30 minutes. how many boxes can she wrap in 60 minutes
Answer:
20
Step-by-step explanation:
Answer:
She would have wrapped 20 boxes.
Step-by-step explanation:
You would look at how many boxes she can wrap in 30 mins which is 10. 60 divided by 30 is 2 so you would take 10 and multiply it by 2 to get 20.
PLZZZZZ ANSWER ASAPPPPP 1. Calculate the unit rate: 324.8 meters in 28 seconds
What is the largest possible integral value in the domain of the real-valued function
f(x)=[tex]\frac{1}{\sqrt{800-2x} }[/tex]
Answer:
Max Value: x = 400
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Calculus
AntiderivativesIntegral Property: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Integration Method: U-Substitution[Integration] Reverse Power Rule: [tex]\int {x^n} \, dx = \frac{x^{n+1}}{n+1} + C[/tex]Step-by-step explanation:
Step 1: Define
[tex]f(x) = \frac{1}{\sqrt{800-2x} }[/tex]
Step 2: Identify Variables
Using U-Substitution, we set variables in order to integrate.
[tex]u = 800-2x\\du = -2dx[/tex]
Step 3: Integrate
Define: [tex]\int {f(x)} \, dx[/tex]Substitute: [tex]\int {\frac{1}{\sqrt{800-2x} } } \, dx[/tex][Integral] Int Property: [tex]-\frac{1}{2} \int {\frac{-2}{\sqrt{800-2x} } } \, dx[/tex][Integral] U-Sub: [tex]-\frac{1}{2} \int {\frac{1}{\sqrt{u} } } \, du[/tex][Integral] Rewrite: [tex]-\frac{1}{2} \int {u^{-\frac{1}{2} }} \, du[/tex][Integral - Evaluate] Reverse Power Rule: [tex]-\frac{1}{2}(2\sqrt{u}) + C[/tex]Simplify: [tex]-\sqrt{u} + C[/tex]Back-Substitute: [tex]-\sqrt{800-2x} + C[/tex]Factor: [tex]-\sqrt{-2(x - 400)} + C[/tex]Step 4: Identify Domain
We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.
Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.
A robot can complete 3 tasks in hour. Each task takes the same amount of time. 10 a. How long does it take the robot to complete one task? b. How many tasks can the robot complete in one hour?
Answer:
a.20 minutes
b.3 tasks
Step-by-step explanation:
60 divided by 3 = 20
find the vertex of the following quadratic function
f (x) = -3x² + 7x + 11
a. (0.857 , 4.384)
b. (1.166 , 15.083)
c. (-2.45 , 3.18)
d. (1 , 12)
Answer:
B because it's a fraction I just divided them and got b
m/4-1/2=m/6+5
Please help
Answer:
3m/12-6/12=2m/12+60/123m-2m/12=60-6/12m/12=54/12m=54/12×12m=54
is the correct answer is the 54
LLEASE HLEP HELP PLEASE HELP
Answer:
V= 301.44
Step-by-step explanation:
the formula for a cone is 1/3 Bxh
B= area of base
h= height
Write in standard form the equation y - 9 = 1/3(x - 6).
Which of the following amounts is greater than 6 feet? Select all that apply. A) 2 yards, 3 inches B) 5 feet, 8 inches C) 96 inches D) 3 yards, 2 feet E) 1 yard, 2 feet
Answer:
A, C, D
Step-by-step explanation:
how do you find the y-intercept?
Answer:
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
so to find that you can use y=mx+b, or you can use point slope form and that would be y-y1+m(x-x1)
remember m= slope b= y- intercept
Compounds A and B are used in an experiment.
The equation A=30,000(1/2)^t represents the remaining amount of compound A, in milligrams, after t seconds. The table shows the remaining amount of compound B.
What is the positive difference in the initial amount of each compound?
Enter your answer in the box.
[50 PTS]
Answer:
The difference is 6,000
Step-by-step explanation:
Answer:
6,000
Step-by-step explanation:
If you are from k12 this is correct
2) How old am I if 300 reduced by 4 times my age is 44?
Answer:
64
Step-by-step explanation:
300 -4x = 44
(300 - 44)/4= 64
check
64 x 4 =256
300 - 256 = 44
Does the line whose equation is y=-2x+13 pass through the point (4,5)? Explain how you arrived at
your answer.
Answer:
Yes
Step-by-step explanation:
Plug in 4 for x, 5 for y. if it equals, then its a point
5 = -2(4) + 13
5 = -8 + 13
5 = 5
it equals so (4,5) is a point
what numbers must be added to complete the perfect square?
Answer:
256
Step-by-step explanation:
Let the number be k
Thus, the equation can be written as:
x² – 32x + k
From the above,
a = 1
b = –32
c = k
The value of k can be obtained as follow:
b² = 4ac
(–32)² = 4 × 1 × k
1024 = 4k
Divide both side by 4
k = 1024 / 4
k = 256
Thus, 256 should be added to x² – 32x to make it a perfect square i.e
x² – 32x + 256
****Check****
x² – 32x + k
k = 256
x² – 32x + 256
x² – 16x – 16x + 256
x(x – 16) – 16(x – 16)
(x – 16)(x – 16)
(x – 16)² QED
The length of a rectangle is twice its width, while the
perimeter of the rectangle is 36 units. . Which system of
equations can be used to find the length ( and the width w
of the rectangle?
Answer: Length = 12 units
Width = 6 units
Step-by-step explanation:
Let the width of the rectangle be represented by x.
Since the length of a rectangle is twice its width, thus means that the length will be: = 2x
Perimeter of a rectangle = 2(l + w)
where,
L = length
W = width
Therefore,
Perimeter = 2(l + b)
36 = 2(2x + x)
36 = 2(3x)
36 = 6x
x = 36/6
x = 6
Width = 6 units
Length = 2 × Width = 2 × 6 = 12 units
solve for answer z/7+19>3.5
Answer:
z > -108.5
Step-by-step explanation:
1. z/7+19>3.5
Subtract 19 from both sides
2. Z/7 > -15.5
Multiply both sides by 7
3. Z > -108.5
There are 14 green crayons and 28 red crayons in a bin. What is the ratio of green crayons to red crayons in simplest form?
Answer:
Green crayons are 1/3 of all the crayons and the red crayons are 2/3 of the crayons. So 1/3rd to 2/3rds
Step-by-step explanation:
14+28=42
14/42=1/3
28/42=2/3
please help me. i’ve posted this question 4 times in an hour with no response. i needed it 20 mins ago.
Answer:
answer is b
Step-by-step explanation:
Owen loves reading and started counting the total number of books reads this year. He adds up the total at the end of each month and his list as follows: {4, 7, 10, 13) Which equation represents the number of books he is reading?
Select one:
1) y = x+ 3
2) y = 3x +1
3) y = 4x
4) y = 3x
Answer: its answer 3, most likely
Step-by-step explanation: i remember this question
Peter expected to earn $425 in a week. In fact, he earned $500. What was the percentage error? (Round to nearest percent)
I have another question as well
I estimated that the repairs to my car would cost $80. In fact , they cost $120. What was the percentage error?
You dont have to answer the second one but when i looked for the answer they gave me 33 which was not even an option
Answer:
Pretty sure it would be 15 percent sorry if im wrong
Step-by-step explanation:
35
How do you write as a percentage?
50
Answer:
0.7 is a decimal and 70/100 or 70% is the percentage for 35/50.
Step-by-step explanation:
Hope this helps!
Using mixed numbers, write a problem in which an estimate is enough to solve the problem.
explain:
Estimating Differences of Fractions and Mixed Numbers
Estimating Differences of Fractions and Mixed NumbersRecall that estimation is a method for finding an approximate solution to a problem. Even when you are asked to find an exact ko, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.
, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0,
, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0, 12
, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0, 12, and 1 to help you to estimate differences.
, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0, 12, and 1 to help you to estimate differences.Here are the steps for estimating the differences of fractions and mixed numbers using benchmarks.
What is the value of q?
S
415
2/14
S
2015
ין
R
4
64,5
T
10
Answer:
[tex]2 \sqrt{14} [/tex]
Is the relation a function? If it is a function, state the domain and range. If not, circle or
highlight the part that causes it to not be a function.
Answer:
Please check the explanation.
Step-by-step explanation:
Writing this relation in set notation using curly braces:
{(1, 3), (2, 5), (3, -1), (4, 0), (5, 6)}
The relation clearly indicates that each input is related to exactly one output. In other words, there is no repetition of 'x' values.
Hence, this relation is a function.
We know that the domain is the set of all x values.
Thus, the domain is: {1, 2, 3, 4, 5}
We know that the domain is the set of all y values.
Thus, the range is: {-1, 0, 3, 5, 6}
Decomposers _______
O add nutrients to the soil
O feed on dead animals
o include bacteria
all of the above
Answer:
All the above
Step-by-step explanation:
all of the following are true
Explain how the steps in how to solve the equation in the picture. 13=7+p (3 sentences or more.)
Answer:
Integers
Multiplying & Dividing
RULE EXAMPLES
1. Multiply or divide.
2. The answer is positive if
the signs are the same
(both positive or both negative);
negative if the signs are different
(one positive and one negative).
–5 x ( –8) = 40
40 4 = 10
16 x ( –3) = –48
–20 10 = –2
Find each product or quotient.
1. –3 x (–8) 2. –5 x (–5) 3. –15 x 3
24 25 –45
Step-by-step explanation:
You make a salary of &75,000 per year,
Answer:
oohhhh cool
Step-by-step explanation:
I didn't know I had so much money
Shane and Gemma share 35 sweets in the ratio 1:4
1
Gemma eats 10 of her sweets and then gives Shane 2 of the sweets she has left.
(c) How many sweets does Shane have now?
Answer:
Shane has 9 sweats now.
Step-by-step explanation:
Given that Shane and Gemma share 35 sweets in the ratio 1:4.
Let the share of Shane be = 'x'
Let the share of Gemma be = '4x'
The combined share of Shane and Gemma = x + 4x = 5x
Total sweets they share = 35
so the equation becomes
5x = 35
x = 7
Thus,
Share of Shane = x = 7
Share of Gemma = 4x = 4(7) = 28
Gemma eats 10 sweets, so she has left with 28-10 = 18 sweets
Gemma gave 2 of the sweets she has left.
As Shane has already 7 sweats, so adding 2 in 7 sweats would make it 9 sweats.
Therefore, Shane has 9 sweats now.
An oil drilling company drills the same distance each day for 5 days. They started at an elevation of 121.175 feet and ended at an elevation of -246.875 feet. Which equation can be used to find x, the distance they drilled each day?
Answer:
[tex]x=\dfrac{|-246.875-121.175|}{5}[/tex]
Step-by-step explanation:
Given that:
Same distance is drilled by the oil drilling company for 5 days.
Initial elevation = 121.175 feet
Final elevation = -246.875 feet
To find:
The equation to find the value of [tex]x[/tex] i.e. the distance drilled each day?
Solution:
To find the distance drilled each day, we need to divide the total distance drilled with the number of days taken to drill the total distance.
Total distance drilled can be found by subtracting the initial elevation from the final elevation and taking modulus because distance can not be negative.
Total distance drilled = | Final elevation - Initial elevation |
Total distance drilled = | -246.875 - 121.175 |
Therefore, we can write the expression as:
[tex]x=\dfrac{|-246.875-121.175|}{5}[/tex]
[tex]\Rightarrow x=\dfrac{|-368.05 |}{5} =73.61\ ft/day[/tex]