Answer:
x= -16/5
Step-by-step explanation:
5x+1=-15
solve
5x+1=-15
-1
5x=16
16/5
x= -16/5
A rectangular piece of metal is 5 in longer than it is wide. Squares with sides 1 in long are cut from the four corners and the flaps are folded upward
to form an open box. If the volume of the box is 594 in,what were the original dimensions of the piece of metal?
What is the original width in inches?
The width of the piece of metal will be 24 inches while the length will be 29 inches.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Perimeter of rectangle = 2( length + width).
Let's say the width of metal w then the length will be w + 5
Now if we cut 1 inch square from the corner of the metal and then fold then the resultant cuboid will have;
Length = w+5 - 2 -= w + 3
Width = w - 2
Height = 1
So,
Volume = (w+3)(w-2)1
594 = w² + 2w + 3w - 6
w² + w - 600 = 0
By solving this
w = 24 so width will be 24 and length will be 24 + 5 = 29.
Hence "The width of the piece of metal will be 24 inches while the length will be 29 inches".
For more about rectangles,
https://brainly.com/question/15019502
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3. Luigi lives 10 miles from work and rides his fancy Segway there each day. He rides past one
block every 45 seconds. Each block is 360 feet long. What is the rate, in feet per second at
which Luigi rides his Segway?
А
36 feet per second
B
80 feet per second
с
4.5 feet per second
D
8 feet per second
What is the value of the expression
Answer:
Option C) 5/8 is correct.
For explanation, Refer to the attachment.
[tex]\Large\textsf{Hope \: It \: Helped}[/tex]
Answer:
C
Step-by-step explanation:
Substitute the values for v and w into the expression.
[tex]\frac{1}{2}[/tex] + ([tex]\frac{3}{4}[/tex] - [tex]\frac{5}{8}[/tex] )
= [tex]\frac{1}{2}[/tex] + ([tex]\frac{6}{8}[/tex] - [tex]\frac{5}{8}[/tex] )
= [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{8}[/tex]
= [tex]\frac{4}{8}[/tex] + [tex]\frac{1}{8}[/tex]
= [tex]\frac{5}{8}[/tex] → C
Please HELP!!!
What are the first 4 terms of the arithmetic sequence in the graph?
Enter your answers in the boxes.
_,_,_, and _
Answer:
- 3, 1, 5, 9
Step-by-step explanation:
The first 4 terms are the values of y corresponding to x = 1, 2, 3, 4 , that is
(1, - 3 ) , (2, 1 ) , (3, 5 ) , (4, 9 )
first 4 terms are - 3, 1, 5, 9
GIVING BRAINLIEST. please help!
if a= { } b= {1,2} then n(a×b) is
Answer:
A={a,b,c}
B={1,2}
A×B={(a,1),(a,2),(b,1),(b,2),(c,1),(c,2)
f(x) = -3x – 12
g(x) = 3x2 – 2x – 14
Answer:x
=
2
3
,
−
1
Step-by-step explanation:
Can you prove that 4+2=5+1 is true without solving both sides of equation?
Answer:
Here you go...
Step-by-step explanation:
You have 4, and you have 5.
You have 4+2 and you have 5+1
So, you take a 1 from the 2 in the first problem, which gives u 4+1 that equals 5.
Therefore, if u put the first equation in a simpler form then you get 5+1 with the other equation. So it would look like 5+1=5+1.
FURTHERMORE, 4+2= 5+1 (because you simplify 2 into a 1).
So. 5+1 equals 5+1. (which is common sense... 5+1= 6.)
What is an equation for the linear function whose graph contains the points (2, 5) and (3, 0)?
Enter your answers in the boxes.
y−
=
(x−2)
Answer:
y = -5x + 15
Step-by-step explanation:
We'll look for a linear function of the form y = mx + b, where m is the slope and b is the y-intercept.
We can determine a slope from the two given points by calculating a Rise/Run. Starting at (2,5) and going to (3,0):
Rise = (0 - 5) = -5
Run = (3-2) = 1
Rise/Run = Slope, m) = -(5/1) or -5
Now we have y = -5x + b
To find b, enter either of the two points and solve for b. I'll use (3,0), because I know my zero multiplication and addition tables by heart.
y = -5x + b
0 = -5(3) + b
b = 15
The equation becomes y = -5x + 15
See attachment.
7.9 is what percent of 8? Round to the nearest tenth.
Answer:
98.75
Step-by-step explanation:
have a nice day
The answer is 100 percent.
Solve the quadratic equation 2x2 – x = 15 using the quadratic formula.
Question 6 options:
A)
x = –3, x = –5∕2
B)
x = –3, x = 5∕2
C)
x = 5∕2, x = 3
D)
x = – 5∕2, x = 3
which one is right. keep it simple
Answer:
B) x = 3 or x = -5/2
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 - x = 15
Subtract 15 from both sides:
2 x^2 - x - 15 = 0
x = (1 ± sqrt((-1)^2 - 4×2 (-15)))/(2×2) = (1 ± sqrt(1 + 120))/4 = (1 ± sqrt(121))/4:
x = (1 + sqrt(121))/4 or x = (1 - sqrt(121))/4
sqrt(121) = sqrt(11^2) = 11:
x = (1 + 11)/4 or x = (1 - 11)/4
(1 + 11)/4 = 12/4 = 3:
x = 3 or x = (1 - 11)/4
(1 - 11)/4 = -10/4 = -5/2:
Answer: x = 3 or x = -5/2
how much coffee is in the cup, it the cup if 7 feet by 7 feet, and 1 cubic foot = 7.48052
How much coffee in the cup, please show how you did it with pi, volume radius etc.
Answer:
the volume of a cylinder is pi r^2 h = 3.14.(3.5)^2. 5.5=211.55 cubic foot
211.55 x 7.48052 =1583.36 gallons.
Step-by-step explanation:
1.(01.01)
Evaluate -6 - (-1). (1 point)
5
-5
6
Answer:
I don't understand the question. Write it again & briefly.
Sonja has a bank account balance of $1400. Each week, her balance changes by-$85.25. She wants to keep the balance above $377. How many weeks will Sonja's balance remain above $377? Select from the drop-down menu to correctly complete the statement. Sonja's balance will remain above $377 Choose... v weeks.
Answer:
12 Weeks
Step-by-step explanation:
$1400 - $377 = $1023
1023 / 85.25 = 12 Weeks
Answer:
Its will take Sonja 12 weeks
Step-by-step explanation:
Group Work 2.6 Newton's Law of Cooling states that an object cools at a rate proportional to the difference between the temperature of the object and the room temperature. The temperature of the object at a time t is given by a function f(t)= alpha x^ prime prime +a where a = mc * pi temperature c = initial difference in temperature between the object and the room r = constant determined by data in the problem Suppose you make yourself a cup of tea. Initially the water has a temperature of 95 degrees * C ; 5 minutes later the tea has cooled to 65 degrees * C Problem: When will the tea reach a drinkable temperature of 40°C? Hint: Assume that the room temperature a = 22 degrees * C . First solve for r and then find tapplying the natural logarithm.
Answer:
ΔT = ΔT0 e^-K T
As I understand Newton's Law of Cooling
ΔT at any time is the difference between the temperature and the surroundings
Originally ΔT0 = 95 - 22 difference between 95 and room temperature
65 - 22 = 33 = 73 e^-KT where t is time to cool to 65 deg
ln (33/73) = -KT K = .794 / 5 = .159 where 5 is time to cool to 65 deg
40 - 22 = 73 e^-.159 T where t is time to cool to 40 deg
18 = 73 e^-.159 T
ln (18 / 73) = -.159 T
T = 8.8 min
It would take 8.8 min for the object to cool to 40 deg C
Suppose the object cooled from 95 to 90 deg, then
ln 68 / 73 = -.159 T and T = .45 min
Answer:
13.2 minutes
Step-by-step explanation:
We cannot tell what your equation is supposed to be. Usually, the equation will have the form ...
f(t) = c·e^(kt) +r
where c is the initial temperature difference (95 -22 = 73) and r is the room temperature (22). The value of k can be found from the given intermediate temperature and time.
f(5) = 65 = 73·e^(k·5) +22
43/73 = e^(5k)
Taking the natural log gives ...
5k = ln(43/73)
k = ln(43/73)/5 ≈ -0.105852
__
We want to find t for f(t) = 40. Then ...
f(t) = 40 = 73·e^(-0.105852t) +22
18/73 = e^(-0.105852t)
t = ln(18/73)/-0.105852 ≈ 13.227
The tea will be drinkable after 13.2 minutes.
__
In the attached, we have used exponential regression to find the equation of the temperature curve.
PLEASE HELP AS SOON AS POSSIBLE I NEED TO SUBMIT THIS IN 10 MINUTES!!!!
IT GIVES 20 points!!!
Answer:
1. A. falling asleep
2. D. taking more time to wind down before bedtime
3. B. There is more than one reason that people have trouble sleeping.
4. C. The problem of falling asleep has been around for a long time and affects many people
5. A. why kids have trouble falling asleep and what they can do about it
6. A. something done over and over
Step-by-step explanation:
What general direction did Lin walk from the gym to his house, and what type of triangle did his walking path form? Lin walked south, creating a right triangle. Lin walked southwest, creating an obtuse triangle. Lin walked southeast, creating an acute triangle. Lin walked directly east, creating a right triangle.
The correct statement is ''Lin can walk southwest by creating an obtuse triangle to reach his house from the gym'' and it can be determined by using the properties of triangle.
We have to determine
What general direction did Lin walk from the gym to his house, and what type of triangle did his walking path form?
According to the question,
Types of Triangle;1. Lin walked south, creating a right triangle-
When someone walked in only one direction then a straight line is made by him over his path.
Here Lin can not make a right triangle just by walking in one direction.
Thus statement 1 is incorrect.
2. Lin walked southwest, creating an obtuse triangle.
When someone wants to reach a diagonal direction he can use either the right angle triangle path or the obtuse triangle.
Lin can walk southwest by creating an obtuse triangle to reach his house from the gym.
Thus statement 2 is correct.
3. Lin walked southeast, creating an acute triangle.
Actuate triangle is a triangle in which all three angles are less than the right angles (90 degrees).
With walking in actuate triangle one can make Lin can not go in his diagonal direction.
Thus statement 3 is incorrect.
4. Lin walked directly east, creating a right triangle.
When someone walked in only one direction then a straight line is made by him over his path.
Here Lin can not make a right triangle just by walking in one direction.
Thus statement 4 is incorrect.
Hence, Lin can walk southwest by creating an obtuse triangle to reach his house from the gym. Thus statement 2 is correct.
For more details about the Equation refer to the link given below.
https://brainly.com/question/9719077
Answer:
its B Lin walked southwest, creating an obtuse triangle
Anu and Aji solve an equation. In solving Anu commits a mistake in constant term and finds the roots 8 and 2. Aji commits a mistake in the coefficient of x. The correct roots are (a) 9,1 (b)-9,1 (c) 9, -1 (d) -9.-1
The correct roots of the equation are (a) 9 and 1
From the complete question, their mistakes are:
Anu
Roots: 8 and 2Wrong constant termAji
Roots: -9 and -1Wrong coefficientA quadratic equation is represented as:
[tex]ax^2 + bx + c = 0[/tex]
Where:
[tex]\alpha\beta = \frac ca[/tex] --- product of roots
[tex]\alpha + \beta = -\frac ba[/tex] --- sum of roots
Anu made a mistake in the constant term, so we consider the sum of roots
[tex]Sum = 8 + 2[/tex]
[tex]Sum = 10[/tex]
Aji made a mistake in the coefficient, so we consider the product of roots
[tex]Product = -9 \times -1[/tex]
[tex]Product = 9[/tex]
The possible equations from the above sum and products are:
[tex]x^2 + 10x + 9 =0[/tex].[tex]x^2 - 10x + 9 =0[/tex].[tex]x^2 + 10x - 9 =0[/tex].[tex]x^2 - 10x - 9 =0[/tex]Of all the above equations, the most likely equation is [tex]x^2 - 10x + 9 =0[/tex], and it has a root of 9 and 1
Hence, the correct roots are (a) 9 and 1
Read more about roots of equations at:
https://brainly.com/question/3923172
Find the values of the variable and the lengths of the sides.
Answer:
See answers below
Step-by-step explanation:
2x - 7 = x + 1 sides are equal
x - 7 = 1
x = 8
Find the length of each side
AD = 2x -7 BC = x + 1 AB = 2x - 2 DC = x - 1
AD = 2(8) - 7 BC = 8 + 1 AB = 2(8) - 2 DC = 8 - 1
AD = 16 - 7 BC = 9 AB = 16 - 2 DC = 7
AD = 9 AB = 14
The coefficient of 3x is "3."
True
False
Answer:
true
Step-by-step explanation:
Answer:
false.
Step-by-step explanation:
btw i love your pfp.
PLEASE HELP TEST DUE SOON⚠️ which graph should be used to show the situation described? The temperature increases by4° every hour
Step-by-step explanation:
the bottom left is the right option.
just by saying "the temperature increases ..." the 2 options on the right are wrong. the line has to go up, not down.
the first graph (top left) increases too strongly, way more than just 4ft per hour.
ASAP HELP Can a triangle have sides with the given lengths? Explain, showing all the work
8 ft, 9 ft, 18 ft
PLEASE EXPLAIN
Answer:
Yes
Step-by-step explanation:
the triangle is a scalene triangle (has no equal parts
Answer this question.
You get a thank you and 5 stars if it's the correct answer.
Answer:
w = 5, x = 7, y = 6, z = 12
Step-by-step explanation:
Evaluate each row by solving the corresponding equation, that is
row 1
4w = 20 ( divide both sides by 4 )
w = 5
row 2
2w + 2x = 24 ( substitute w = 5 )
2(5) + 2x = 24
10 + 2x = 24 ( subtract 10 from both sides )
2x = 14 ( divide both sides by 2 )
x = 7
row 3
w + 2x + y = 25 , that is
5 + 2(7) + y = 25
5 + 14 + y = 25
19 + y = 25 ( subtract 19 from both sides )
y = 6
row 4
w + x + y + z = 30 , that is
5 + 7 + 6 + z = 30
18 + z = 30 ( subtract 18 from both sides )
z = 12
if you multiply a number by 3 an then subtract 5,you will get 40.what is the number?
Answer:
The answer is 15
Step-by-step explanation:
15*3=45-5=40
help pls!! I will mark brainliest!! :(
Answer:
Three choice
Step-by-step explanation:
I think.
If 7 is subtracted from half of a number, the result is 14. Find the number.
a.41
b.42
c.43
d.44
Answer:
The number is 42.
Hope you could get an idea from here.
Doubt clarification - use comment section.
A lifeguard received 15 hours of first aid training and 10 hours of CPR training. What is the ratio of hours of CPR training to hours of first aid training?
Answer:
The ratio of hours of CPR training to hours of first aid training is 10:15
Step-by-step explanation:
Helpppp
Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time doing homework this week. Is he correct? Show your work to justify your decision.
Answer: Evan is incorrect
Step-by-step explanation:
20/20 - 25 x 100 =
5/20 x 100/1 =
500/20
500/20 = 20%
Evan would only be correct is he doubled the 20 hours to make it 40 hours
Hope this helps✌
a floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. how many tiles are needed to cover the floor?
Answer:
Step-by-step explanation:
12 inches per foot
The floor is 9(12) = 108 inches by
12(12) = 144 inches
The floor area is 108(144) = 15552 sq. In.
Each tile is 4(6) = 24 sq. in.
Need 15552/24 = 648 tiles
How do I find the percentage of two column data table?
Answer:
a) 47.7%
b) 87.2%
Step-by-step explanation:
Find the ratio of interest, and convert it to a percentage.
a)(messy right-handed writers)/(right-handed writers)
= 31/65 = 31/65 × 100% ≈ 47.7%
__
b)(neat right-handed writers)/(neat writers)
= 34/39 = 34/39 × 100% ≈ 87.2%