Step-by-step explanation:
Let x equal the width of the box and x + 15 equal the length of the box. Subtract 6 (the amount cut out) from both of the these to get the following terms: (x+9) and (x-6). These are the length and width of the box respectively. We also know that the height of the box is 3. Plugging these into the formula for the volume of a box gives you:
3(x+9)(x-6)=1092
Expanding this out gives:
3x^2+9x-162=1092
Subtract 1092 from both sides to make the quadratic equation equal zero. Plug the a, b and c coefficients into the quadratic formula (or factor) to find x.
3x^2 +9x-1254 = 0
a = 3 b = 9 c = -1254
I hope this helps :)
a decimal number in which a digit or group of digits
repeats without end
Answer:
that is called a repeating decimal.
Step-by-step explanation:
(7x7x7x7x7x7x7)-3x-3x-3
Answer:
823516
Step-by-step explanation:
hope this helps
Answer:
7^7 times -3^3, or -22235661
Step-by-step explanation:
can someone help me? help
Answer:
Step-by-step explanation:
Remove the brackets
3x*x^2 - 5x*3x + 3x*1 - 2x^2+3x -7
Combine
3x^3 - 15x^2 + 3x - 2x^2 + 3x - 7
3x^3 17x^2 +6x - 7
given a right-angled triangle with perimeter 18. The sum of the squares of the three side lengths is 128. What is the area of the triangle ?
Answer:
9units²
Step-by-step explanation:
A triangle has 3 sides. Let the length of the three sides be a, b, c.
If the perimeter of the triangle is 18, then;
P = a+b+c
a+b+c = 18... 1
If the sum of the squares of the three side lengths is 128, this means;
a²+b²+c² = 128... 2
Since the triangle is also right angled, according to Pythagoras theorem;
c² = a²+b²... 3 (taking c as the hypotenuse)
Substitute equation 3 into 2;
(a²+b²)+c² = 128
c²+c² = 128
2c² = 128
c² = 128/2
c² = 64
c = √64
c = 8
Substituting c = 8 into 1
a+b+c = 18
a+b+8=18
a+b = 10 ...... 3
Substituting c = 8 into 2
a²+b²+c² = 128
a²+b²+8² = 128
a²+b²+64 = 128
a²+b²= 64..... 4
Solve equation 3 and 4 simultaneously;
a+b = 10
a²+b²= 64
From 4; a = 10-b
Substitute a = 10-b into 4;
(10-b)²+b² = 64
100-20b+b²+b² = 64
2b²-20b+100-64 = 0
2b²-20b+36 = 0
Divide through by 2:
b²-10b+18 = 0
b = 10±√10²-4(18)/2
b = 10±√100-72/2
b =( 10±√28)/2
b =(10±√4×7)/2
b = (10±2√7)/2
b = 5±√7
Hence b = 5+√7
If a+ b = 10
a+(5+√7 ) = 10
a = 10-(5+√7)
a = 10-5-√7
a = 5-√7
Area of the triangle A = 1/2 ab
A = 1/2 × (5+√7) × (5-√7)
A = 1/2 × (25-5√7+5√7-7)
A = 1/2 × (25-7)
A = 1/2 × 18
A = 9
Hence the are of the triangle is 9units²
The number of fungi on a culture has increased from 800 spores to 1,600 spores in 1 hour. What is the growth factor for
this fungus?
0.1
1
2
10
Angle A and angle B are complementary angles. If m angle A = (x + 8) and m
angle B = (8x + 1)", then find the measure of angle A.
whayt is the value 4x0.36
A scale drawing of a school bus has a scale of 1 inch to 10 feet. If the length of the school bus is 2 1/2 inches on the drawing, what is the actual length of the bus?
Answer: 25 feet
Step-by-step explanation:
Answer:
25 feet
Step-by-step explanation:
10 times 2 is 20 and half of 10 is 5 so 20 and 5 = 25
-1 7/8 + -6 Help, please.
Write the word phrase for the equation 7x + 10 = 14 divided by x
Step-by-step explanation
ten plus x multiplied by seven is equal to fourteen divided by X
Randy is four times as old as Kenneth and Randy is 36 years older than Kenneth
i) How old is Kenneth?
ii) How old is Randy?
Answer:
Kenneth: 12 years old
Randy: 48 years old
Step-by-step explanation:
For this problem, we can use system of equations to solve. Let's use r for Randy and k for Kenneth.
Equation 1
r=4k
This equation comes from the first part, where Randy is four times as old as Kenneth.
Equation 2
r=36+k
This equation comes from the second part, where Randy is 36 years older than Kenneth.
Since we have r=, we can use substitution method.
4k=36+k [subtract both sides by k]
3k=36 [divide both sides by 3]
k=12
Now that we have found k, we can plug that into any equation to find r.
r=4(12) [multiply]
r=48
Now, we know that Randy is 48 years old and Kenneth is 12 years old.
Alfred and his 4 friends bought 13 1/4 pounds of gummy bears at $1.20 pound . If the cost is divided between alfred and his four friends what would each person pay
25 PTS: This is pretty simple, I tried to ask my maths teacger for help but she was very vague and i am still stuck.
Answer:
Both RSA and AST measure 27.1
Step-by-step explanation:
Since SA, "bisected" (split in half by equal parts) angle RST, the RSA and AST is equal
therefore 54.2 / 2 =27.1
Bisect- means the segment halved/split the angle into 2 equal parts
Convert 10 mL/sec to L/min
Step-by-step explanation:
1000 mL = 1 L
10 mL = 1/1000 × 10 = 0.01 L/sec
60 sec = 1 min
1 sec = 1/60 min
0.01 L/sec
= 0.01 L × 60
= 0.6 L/min
10 mL/sec = 0.6 L/min
The rectangle has a length of -2x + 10 and a width of 10. a) Find the area of the rectangle and simplify.
Answer:
Area = -20x + 100Perimeter = -4x + 40Step-by-step explanation:
Given rectangle with
Length l = - 2x + 10 Width w = 10To find
AreaPerimeterSolution
A = lwA = (-2x + 10)*10 = -20x + 100P = 2(l +w) P = 2( -2x + 10 + 10) = 2( -2x + 20) = -4x + 40You have taken up gardening for relaxation and have decided to fence in your new
rectangular shaped masterpiece. The length of the garden is 4 meters and 34 meters
of fencing is required to completely enclose it. What is the width of the garden?
Answer:
13 meters
Step-by-step explanation:
Adjacent sides form half the perimeter, so the sum of the unknown side and the given side is 34/2 = 17 meters.
4 meters + width = 17 meters
width = 13 meters . . . . . subtract 4 meters
A line with a slope of 1/7 passes through the points seven and one what is it equation in slope intercept form
Answer:
y=1/7x
Step-by-step explanation:
Plug into Point slope form:
y - 1= 1/7( x -7)
y -1 = 1/7 x -1
y -1 +1 = 1/7x -1 +1
y= 1/7x
A football team loses 8 yards on each of 4 consecutive plays. Find the total change in yards from where the team started. pls help fgkogijriojg
Answer:-32
Step-by-step explanation:
You times the two numbers and add a negative sign in front of it
8 would be a negative in this situation and 4 would be a positive. So the problem would look like this:
-8 x 4 = ?
For this particular problem, we would do 8 x 4 which would equal 32. Then we would try to find which one has the greater absolute value.
Absolute Value:
4 = 4
-8 = |8|
Since -8 has the greater absolute value, the answer would be negative.
The Answer: -32
A diver descends 90 feet in 5 minutes. What is the
diver's change in depth per minute?
Answer:
18 feet/min
Step-by-step explanation:
Divide 90/5 to find the diver's change in depth per minute 18 feet per minute is the answerGiven: KM bisects JKL
Prove: m MKL= 1/2m JKL
please explain
Start with out given statement:
Line KM bisects <JKL and the reason for that is because it's given.
For statement 2, we know that m<JKM = m<MKL
because of the definition of an angle bisector.
For statement 3, we can use the angle addition
postulate to get m<JKM + m<MKL = m<JKL.
For statement 4, we use substitution from
the info in statement 2 to get m<MKL + m<MKL = m<JKL.
For statement 5, we simplify to get 2(m < KML) = m<JKL.
For statement 5, we use the division property of equality.
All the reasons are underlined.
Which of the following is an equation of the line with slope 2 that passes through the point (-1,-4)
Show complete working format
Answer:
y = 2x - 2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Define
Slope m = 2
Random point (-1, -4)
y = 2x + b
Step 2: Find b
-4 = 2(-1) + b
-4 = -2 + b
-2 = b
Step 3: Rewrite linear equation
y = 2x - 2
How do I rewrite a quadratic into graphing form
Step-by-step explanation:
Standard form of a quadratic is f(x) = ax² + bx + c.
To convert to vertex form, the simplest method is to find the x-coordinate of the vertex using h = -b/(2a).
Then, plug back into the equation to find the y-coordinate of the vertex. k = f(h).
Finally, the leading coefficient is the same as the standard form, a.
f(x) = a(x − h)² + k
Another method is to complete the square.
A local church has a rectangular fellowship room that it will expand by increasing the
length by 20 feet to form a larger rectangle. If the current dimensions of the room
are unknown, write an algebraic expression for the perimeter of the new room.
Answer:
perimeter of new room = 2[(l+20)*b]
Step-by-step explanation:
In which expression should the exponents be multiplied? (4 points)
38503.45 in standard form
Hey there!
ANSWER:[tex]38503.45[/tex]EXPLANATION:38503.45 in standard form.
The decimal 38503.45 is already in standard form. Try multiplying [tex]38503.45[/tex] by [tex]10^0[/tex].
[tex]38503.45*10^0=38503.45\\38503.45(ANSWER)[/tex]
The answer is the same as the decimal. That is because it was already in the standard form.
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
In a scale drawing of a painting, 1 centimeter represents 6 Inches.
Scale
1 cm: 6 in
Answer the following.
(a) In the scale drawing, the length of the painting is 7
centimeters. What is the length of the real painting?
(I) inches
X
(b) The height of the real painting is 24 inches. What is the
height of the painting in the scale drawing?
I centimeters
8. Why is it NOT useful to view science as a set of facts?
This is my honest opinion
Science is not just facts. Science, to me, is full of theories and hypotheses that can be proved wrong. Yes, a majority of it is actually factual, but in the future it may or may not be true.
I hope it helps.
At the fair, Terrell has 47 ride tickets. Each ride on the Ferris wheel costs 6 tickets. After
riding the Ferris wheel as many times as possible, how many tickets will Terrell have left?
Answer:
Terrell has 5 tickets left.
Step-by-step explanation:
The volume of a pyramid, V, is calculated using the formula V = 1/3 AH, where A is the area of the base and H is the height of the pyramid.
Rearrange the formula to solve for the base area (A)
Answer:
A= 3V/H
Step-by-step explanation:
V=1/3 AH
multiply 3 on both sides
3V=AH
divide both sides by H
3V/H=A
3х^2–36 = — 84
can someone help me with this one
Answer:
No real solution.
Step-by-step explanation:
Answer:
No
Step-by-step explanation: