Answer:
Step-by-step explanation:
the answer is b add 8 to each side
In kickboxing, it is found that the force, f, needed to break a board, varies inversely with the length, l, of the board. If it takes 15 pounds of pressure to break a board that is 7 feet long, how many pounds of pressure will it take to break a board that is 5 feet long?
Answer:
21 pounds
Step-by-step explanation:
Given that f varies inversely with l then the equation relating them is
f = [tex]\frac{k}{l}[/tex] ← k is the constant of variation
To find k use the condition f = 15 when l = 7, then
15 = [tex]\frac{k}{7}[/tex] ( multiply both sides by 7 )
105 = k
f = [tex]\frac{105}{l}[/tex] ← equation of variation
When l = 5 , then
f = [tex]\frac{105}{5}[/tex] = 21 pounds
Select an equation to solve the problem. Then solve. Joaquin is saving $369 to buy a surf board. He saved $9 each week for 11 weeks. He wants to buy the surf board in 9 more weeks. How much does Joaquin need to save each week? Let m be how much money Joaquin needs to save each week. Select an equation to solve the problem. ? Solve the equation. M = Answer the question. Joaquin needs to save $ each week.
Answer:
[tex]9m = 270[/tex]
[tex]m = \$30[/tex]
Joaquin needs to save $30 each week.
Step-by-step explanation:
Total money required for buying a surf board = $369
Money saved every week for first 11 weeks = $9
Total money saved in first 11 weeks = 11 [tex]\times[/tex] 9 = $99
Joaquin wants to buy the surf board in 9 more weeks.
To find:
Money to be saved each week for the next 9 weeks so that the surf board can be bought?
Solution:
Let the money to be saved each week for the next 9 months = $[tex]m[/tex]
Total money to be saved in the next 9 months = $9[tex]m[/tex]
Now, let us find the remaining amount of money to be saved by subtracting the total money saved from the cost of surf board. And then compare it with $9[tex]m[/tex].
[tex]369 - 99 = 9m\\\Rightarrow 9m = 270[/tex]
Solving the equation, we get:
[tex]m = \$30[/tex]
Therefore, Joaquin needs to save $30 each week.
Solve: 10+5(x-4) = 35
Answer:
x=9
Step-by-step explanation:
10+5(x−4)=35 Step 1: Simplify both sides of the equation. 10+5(x−4)=35
10+(5)(x)+(5)(−4)=35(Distribute)
10+5x+−20=35
(5x)+(10+−20)=35(Combine Like Terms)
5x+−10=35
5x−10=35
Step 2: Add 10 to both sides.
5x−10+10=35+10
5x=45
Step 3: Divide both sides by 5.
5x/5 = 45/5
x=9
Answer:
x=13
Step-by-step explanation:
10+5(x-4)=35
10+5x+-20=35
5x+-30=35
5x=65
65 divided by 5=13
x=13
See picture above for more thorough steps
If f(x)=49-x^2 and g(x)=7-x, which is the rule of the function (f-g)(x)?
A. -x^2-x-56
B. -x^2+x+42
C. 7+x
D. x^3-7x^2-49x=343
Answer:
B
Step-by-step explanation:
(f - g)(x) = f(x) - g(x), then
f(x) - g(x)
= 49 - x² - (7 - x) ← distribute by - 1
= 49 - x² - 7 + x ← collect like terms
= - x² + x + 42 → B
During the first leg of a backpacking trip, a group of hikers covered 10.4 miles in 3 hours and 1 minute. The next day, the group hiked 8.6 miles in 3 hours and 47 minutes. What was the group's average speed over the two days? Answer as a decimal rounded to the nearest tenth.
Answer:
2.79 mi/hr ( for the time they were actually moving)
Step-by-step explanation:
average speed = total distance / total time
= ( 10.4 + 8.6 mi) / ( ( 181 + 227 min )/60 min/hr) =2.79 mi/hr
On a bicycle, DaNeeka rides for 6 hours and is 68 miles from her house. After riding for 12 hours, she is 134 miles away. what is her rate ?
Answer:
Step-by-step explanation:
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets.
Part A: Write a system of equations to represent the given scenario. Use the variables "s" for senior citizen tickets and "c" for child.
Part B: Solve the system of equations from Part A algebraically. Show your work.
Part C: Explain what the solution to the system of equations represents in context of the problem. Hint: You will need to put words here, not an equation.
Answer:
The school took in $52 on there second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen
Step-by-step explanation:
a number that can be writtin as a fraction oftwo integers is called a ....
Answer:
x
Step-by-step explanation:
Answer:
a rational number
Step-by-step explanation:
!!ONLY TWO QUESTIONS!!
(Also only answer if u know it. Have a good night btw)
This really matters to me so please help idk what to do
What is the main difference between vascular and non-vascular plants? *
Suppose you find a plant that has a woody stem and is taller than you. Would you classify the plant as vascular or non-vascular. Explain. *
-science
Answer:
The main difference between a vascular and a non-vascular plant is that a vascular plant has vessels that can carry food and water to all the other parts of the plant. the arrangements of the cell in a non-vascular plant is also a lot simpler.
Step-by-step explanation:
I would classify the plant as vascular because vascular plants tend to be really tall and large in comparison to non-vascular plants.
List the sides from least to greatest
Answer:
ef,ge,fg
Step-by-step explanation:
a box has dimensions of 3.5 cm by 4.0 cm by 8.0 cm. the volume of the box in milliliters and liters is:
Step-by-step explanation:
3.5cm===> 35mm===> 3.5e–6 lit
4.0cm===> 40mm===> 4.0e–6 lit
8.0cm===> 80mm===> 8.0e–6 lit
V(mm)=35×40×80=112000mm³
V(lit)=(3.5×4.0×8.0)×e–6=112e–6lit³
Can someone explain to me an easy way to divide fractions? I can't seem to understand it.
Answer:
Flip the second fraction and multiply across
ex: 5/4 divided by 3/6
5/4 * 6/3
5*6 / 4*3 = 30/12
5/4 divided by 3/6 = 30/12
Step-by-step explanation:
HELP ME PLEASEEEEE
George was writing a paper for English class. He has already written 1 complete page. He plans on writing his paper at a rate of 2 pages per hour. Show all work and explain your answers clearly. Use complete sentences.
A. Write an equation
B. What do the slope and the y-intercept represent in context of this situation?
C. How many pages will George have written after 3 hours?
D. George’s final paper needs to be 9 pages. How long will it take George to have his entire paper written?
I NEED HELP ASAP!!
√52 is between _____.
12.9 and 13.1
25.9 and 26.1
10.1 and 10.2
7.2 and 7.3
solve the following quadratic equation by completing the square
Step-by-step explanation:
x=-14 plus/minus squared root of 1394 over 7
solve 68 x (-19) + (-68) using distributive property
Answer:
-1360
Step-by-step explanation:
factor the expression : 68(-19-1)
calculate the difference ; 68 x ( -20 )
multiply the numbers ; -1360
solution ; -1360
Plz i need some help =(
Answer:
72.
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
NEED HELP ASAP!!!!
Kim earns money with a base salary plus commission. She earns a base
salary of $30,000 per year plus $200 for each machine she sells. Let x
represent the amount of machines Kim sells and y represent the amount of
money she earns per year.
a. Fill out the table.
b. Write the equation in slope-intercept form the amount of money Kim earns per year.
c. Graph the equation from part (b).
Answer:
Step-by-step explanation:
Equation is y= 200x+30000
Table in order goes 30000, 30200, 30400, 30600, 30800
To graph your y intercept would be 30000 and slope is 200
Answer:
1) $30000 2) $30200 3) $30400 4) $30600 5) $30800
Step-by-step explanation:
She gains $200 more each year.
(Part one of your question)
How many fluid ounces are in a gallon?
1 cup= 8 ounces
1 pint= 2 cups
1 quart=2pints
1 gallon= 4 quarts
Answer:
128 fluid ounces
Step-by-step explanation:
As per linear equation, there are 128 ounces of fluid in a gallon.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."
Given relations for any fluid is:
1 cup = 8 ounces
1 pint = 2 cups
1 quart = 2pints
1 gallon = 4 quarts
Therefore,
1 gallon
= 4 quarts
= 4 (2) pints
= 8 pints
= 8(2) cups
= 16 cups
= 16(8) ounces
= 128 ounces
Therefore, for any particular fluid 128 ounces equal to 1 gallon.
Learn more about a function here: https://brainly.com/question/11897796
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The sum of two numbers is 54. The larger number is 16 more than the smaller number. What are the numbers?
Answer: 19, 35
Step-by-step explanation:
Two numbers: x and y.
x+y=54
x+16=y
x+x+16=54
2x+16=54
2x=38
x=19
19+y=54
y=35
19, 35
Answer:
x = 35
y = 19
Step-by-step explanation:
16 + x + y = 54
-16 -16
x + y = 38
÷2
x = 19
y = 19
The larger number is 16 more than the smaller number
x = 19 + 16 = 35
x = 35
y = 19
35 + 19 = 54
54 = 54
I hope this helps!
PLZZZ HELP DUE IN 10 MINUTES. PLZZZ.
15. Scarlett estimated that there were 50 pieces of candy left in her Halloween basket. When she counted,
there was actually only 46 pieces left. What was her percent error?
Answer: 8% Error
Step-by-step explanation:
Lets go ahead and change the equation to a format that we're more familiar with.
Original:
50 -> 46
But what's easier is if we are working with 100's because of 100% right?
So lets do this.
100 -> 92
All I did was multiply both by 2 to get 100 to 92. Now it's easier to determine because of what we're looking at. 100-92 is 8% which also makes 50 to 46 an 8% error because of the symmetry between both equations. Enjoy!
Please help me. I have no idea what to do.
Answer:
18
Step-by-step explanation:
Can you please help me with a question? language arts related?
Which of these numbers is irrational?
O A. 6/17
O B. 5
O c. 1.4
O D. -4.99
Point P is located at (–3, –2). P is reflected across the x-axis to create P'. What quadrant is P' in?
I'll give 16 points
Answer:
Arisa walks dog 3 for 15 min, dog 4 20 mins
Sofias dog 3 12 mins, dog 4 16 mins.
Step-by-step explanation:
The lengths of the four sides of a quadrilateral (in inches) are consecutive integers. If the perimeter is 110 inches, find the value of the longest of the four side lengths.
The longest side of the quadrilateral (in inches) is 29 inch.
Here,
The lengths of the four sides of a quadrilateral (in inches) are consecutive integers.
The perimeter is 110 inches.
We have to find the value of the longest side of the four side lengths.
What is Perimeter of quadrilateral?
The sum of all length of sides of a quadrilateral is called the Perimeter of quadrilateral.
Now,
The lengths of the four sides of a quadrilateral (in inches) are consecutive integers.
Let the length of quadrilateral are;
x, x + 1, x + 2 and x + 3
The longest length = x + 3
Since, The perimeter is 110 inches.
Hence,
x + (x + 1) + (x + 2) + (x + 3) = 110
x + x + 1 + x + 2 + x + 3 = 110
4x + 6 = 110
4x = 110 - 6
4x = 104
x = 26 inch
Hence, The longest length = x + 3 = 26 + 3 = 29 inch
Therefore, The longest side of the quadrilateral (in inches) is 29 inch.
Learn more about the perimeter of quadrilateral visit:
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Help!!! Whats The answer, Please explain your answer Marking brainlliest:D I really need this.
(im going point broke after this plsssssssssssss HELP))Minnie organizes data in a table to show the net change in the number of people subscribing and unsubscribing to her website each month.
Month 1 2 3 4 5 6 7 8 9 10
Change −11 17 −1 −1 −1 −1 −11 17 −11 −11
She writes the sum of the ten integers, then factors her expression.
She correctly determines the total change for the 10 months.
What factored expression does she write, and what is her answer?
Answer:
-14
Step-by-step explanation:
Find out how many times (-11) , (-1) and 17 appears.
(-11) is four times and (-1) is four time.
4 * (-1) + 4 * (-11) = 4 * (-1 - 11)
17 is appearing two times.
2*17
Now, the expression is,
4 * (-1 - 11) + 2 *17
4 * (-1 - 11) + 2 *17 = 4 *(-12) + 34
= - 48 + 34
= -14
The sum of the angles in a triangle are 180 degrees. Find the value of the variable, then find the angle measures of a polygon.
Answer:
15=x 5x=75
Step-by-step explanation:
90/6=15
6 is how many x's there are in total meaning that 1 x = 15
15*5=75 so one angle is 15 while the other is 75
75 + 15= 90
90+90=180 getting you the 180 degrees
......................hi
Answer:
hi
Have an amazing day!