Answer:
[tex]x^3+x^2-2x\leq140[/tex]
Step-by-step explanation:
This is an algebra problem, and we are expected to inequality for the volume of the aquarium.
Given that the
length= 2x
width=(x – 1)
heigth= (x + 2)
and the volume= 280 ft^3
the inequality expression for the volume is
[tex]2x*(x -1) * (x + 2) \leq 280\\\\[/tex]
open the brackets
[tex]2x*(x -1) * (x + 2) \leq 280\\\\(2x^2-2x)*(x+2)\leq 280\\\\\2x^3+4x^2-2x^2-4x\leq 280\\\\\2x^3+2x^2-4x\leq280[/tex]
divide through by 2 we have
[tex]x^3+x^2-2x\leq140[/tex]
Answer:
(1, 5]
Step-by-step explanation:
12. Tell whether the data show a direct
variation. If so, identify the constant of
variation.
Number of Baskets Cost
5
$15
7
$21
9
13
$27
$39
$45
15
Answer:
number of baskets would be 3 dollars each from what I see 5 x 3= 15 7x3= 21 9x3=27 Ect
Step-by-step explanation:
16/4 (16 over 4) classify by listening all subsets it belongs in
□Natural
□whole
□integer
□rational
□irrational
□real
Answer: natural; whole; integer; rational; real
Step-by-step explanation:
16/4=4
Natural: numbers that are greater than 0.
4 is greater than 0
Whole: numbers that are equal or greater than 0
4 is equal or greater than 0
Integer: numbers that have no decimal points
4 has no decimal points
Rational: numbers that can be written as fraction
4=16/4 which is fraction
It is already rational, so it will not be irrational.
Real: all number you can name are real number
4 is four
Find the percent of change in the perimeter.
Answer:
-30%
Step-by-step explanation:
currently, the perimeter is: 4 + 6 + 4 + 6 = 20 in.
when the width of 4 in is decreased by 3 in, the new width become (4-3) in = 1 in
therefore, the new perimeter is: 1 + 6 + 1 + 6 = 14 in
the change in perimeter is: 20 in - 14 in = 6 in
now, the percent of change in perimeter will be:
[tex]\frac{change- in -perimeter}{original -perimeter} *100 = \frac{6}{20}*100 = 30[/tex]%
BUT because this change is a DECREASE, you have to put a NEGATIVE sign before the value to inducate that it's a decrease, so
change in perimeter = -30%
PLEASE HELP ASAP I NEED THIS DONE ASAP!!!
Answer:
The value of x is 12.
Step-by-step explanation:
Given that perimeter is found when all sides are added together. So we can assume that all side lengths add together will give you 134 imches :
[tex]x + 2x + 5 + 6x - 17 + 3x + 2 = 134[/tex]
[tex]12x - 10 = 134[/tex]
[tex]12x = 134 + 10[/tex]
[tex]12x = 144[/tex]
[tex]x = 144 \div 12[/tex]
[tex]x = 12[/tex]
Answer:
X=12
Step-by-step explanation:
x+2x+5+6x-17+3x+2=134
12x-10=134
12x=144
x=12
Round 5.05870925358 to 4 decimal places.
Answer:
5.0587
Step-by-step explanation:
First, you have to count to the fourth number after the decimal;
That number is 7, the number after it is the one that will help you round.
Since that number is 0 you round down to 7.
Answer:
5.0587
Step-by-step explanation:
So we look at 5.05870
we count to four after the decimal place and land on the seven, next we look at the digit behind to seven to determine if we can round (remember 5 or more round the score, four or less let it rest).
please help! I'll give you 10 points
Answer: 8 hundred thousands
Answer:
The value is 800,000
Step-by-step explanation
the 2 is in the thousands spot so that would make the 4 in the ten thousands and the 8 in the hundred thousands.
Hope this help:)
Which expression shows a way to find 22 x 46?
(22 x 4) + (22 x 6)
(22 x 40) + (22 x 6)
(11 x 40) + (11 x 6)
(2 x 4) + (2 x 6)
Step-by-step explanation:
We can use the expression (22 x 40) + (22 x 6).
Find the inverse of the equation below.
y =(x + 1)2
Answer:
f^-1 (x) = x/2 - 1
ps the ^ means to the power of so its f to the power of -1.
hope it helps!!
Tim is choosing between two cell phone plans that offer the same amount of free minutes. Sprint’s plan charges $39.99 per month with additional minutes costing $0.45. Verizon’s plan costs $44.99 with additional minutes at $0.40. How many additional minutes will it take for the two plans to cost the same?
Answer:
100 minutes
Step-by-step explanation:
Sprints = $39.99 +&0.45
Verizon= $44.99+$0.40
Step 1: Equate the values
[tex]39.99 + 0.45m = 44.99 + 0.40m[/tex]
Step 2 :Collect like terms and simplify
[tex]0.45m - 0.40m = 44.99 - 39.99 \\ 0.05m = 5[/tex]
Step 3 :Divide both sides of the equation by 0.05
[tex] \frac{0.05m}{0.05} = \frac{5}{0.05} [/tex]
Step 4 :Simplify
[tex]m = 100 \\ = 100 \: minutes[/tex]
what is --6|x+4|=-24
Answer:
[tex]x^{1}[/tex]= -8, [tex]x^{2}[/tex]=0
Step-by-step explanation:
Divide by both sides and solve. x=0, x=-8
What is the product of the polynomials below (7x^3+4x)(x^2+2)
Answer:
7[tex]x^{5}[/tex] + 18x³ + 8x
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
7x³(x² + 2) + 4x(x² + 2) ← distribute both parenthesis
= 7[tex]x^{5}[/tex] + 14x³ + 4x³ + 8x ← collect like terms
= 7[tex]x^{5}[/tex] + 18x³ + 8x
sorry lol one more ...please help!!!!!!!
Answer:
(-1,5)
Step-by-step explanation:
(2+(-4))/2=-1
(9+1)/2=5
What is a question without an = sign called
Answer:
a question without an = sign is called an expression
Step-by-step explanation:
Answer:
A query
Step-by-step explanation:
Amy ran a race in 20.7 seconds. Katie finished the race 0.258 second before Amy. How long did it take Katie to run the race?
Answer: 20.442 seconds
Step-by-step explanation:
From the question, we are informed that Amy ran a race in 20.7 seconds and that Katie finished the race 0.258 second before Amy.
To know how long it took Katie to run the race, we subtract 0.258 seconds from 20.7 seconds. This will be:
= 20.7 - 0.258
= 20.442 seconds
The first Ferris wheel was built in 1893 in Chicago. Its diameter was 250 feet. How many feet did the Ferris wheel rotate with one complete turn? Use 3.14 for Pi
Answer:
I think we have to count circumference of this wheel.
C=D*π=250*3,14=785ft
Step-by-step explanation:
Now move the center of rotation, R, to a different position on the coordinate plane.
Next, move the slider bar to rotate pentagon ABCDE. How many times does the
pentagon map back onto itself in this situation? What does this tell you about the
location of the center of rotation?
Answer: If the center of rotation is changed, the pentagon maps back onto itself only one time, when the value of a is 360 degrees that is, when the pentagon completes a full rotation. (just a heads up if your going to copy and paste, change it up a bit because this is word for word :) hope it helped!)
Answer:
If the center of rotation is changed, the pentagon maps back onto itself only one time, when the value of α is 360°—that is, when the pentagon completes a full rotation.
Step-by-step explanation:
Sample Answer
What is the parent function of the following function: f(x) = |x - 31| – 2
o linear
o absolute value
O constant
o quadratic
HELP ME PLEASE
what are the x and y intercepts of the following line? -3x-2y=20
a) (-3/2,0), (0,-10)
b) (-20/3, 0), (0,-10)
c) (-3,2), (0,0)
d) (-3,0), (0,-2)
Answer:
a) (-3/2,0), (0,-10)
Step-by-step explanation:
y = mx + b
Change the equation to y intercept form.
-3x - 2y = 20
Isolate -2y by adding 3x on both sides.
-2y = 3x +20
Divide everything by -2
y = [tex]-\frac{3}{2}x[/tex] - 10
If you have a ti 84 plus calculator put it in the calculator:
go to y =
then press 2nd graph
then press graph
you will be at the (x,y) table
look at what (x,y) value match your choices.
Another way to solve this equation is to substitute.
a) is the correct choice
3(x - 2) + 4 = 2x -1
[tex]\text {Hi! Let's Solve this Equation!}[/tex]
[tex]\text {The First Step is to Simplify the Equation:}[/tex]
[tex]\text {3 becomes 3x. 3*-2=-6 so that becomes -6.}[/tex]
[tex]\text {Add: -6+4=-2}[/tex]
[tex]\text {Your new Problem should be: 3x+-6+4=2x-1}[/tex]
[tex]\text {The Next Step is to Subtract 2x:}[/tex]
[tex]\text {3x-2-2x=2x-1-2x}\\\text {x-2=-1}[/tex]
[tex]\text {The Final Step is to Add 2:}[/tex]
[tex]\text {x-2+2=-1+2}[/tex]
[tex]\text {Your Answer should be:}[/tex]
[tex]\fbox {x=1}[/tex]
[tex]\text {Best of Luck!}[/tex]
[tex]\text {-LimitedX}[/tex]
Answer:
- 1
Step-by-step explanation:
Step 1:
3 ( x - 2 ) + 4 = 2x - 1 Equation
Step 2:
3x - 6 + 4 = 2x - 1 Multiply
Step 3:
3x - 2 = 2x - 1 Combine Like Terms
Step 4:
3x = 2x - 1 + 2 Add 2 on both sides
Step 5:
3x = 2x - 1 Combine Like Terms
Step 6:
x = - 1 Subract 2x on both sides
Answer:
x = - 1
Hope This Helps :)
while shopping kyla found a dress that she would like to purchase but it costs more than she has kyla charges $5.50 aam hour for babysitting she wants to figure out how many hours she must babysit to earn $52.25 to buy the dress
Which one is grader -3.5 or -2.5
Answer:
-2.5 is greater
Step-by-step explanation:
it's greater because it's closer to the whole # 1
Answer:
-2.5
Step-by-step explanation:
When you have negatives , the lowest number would always be the greatest
Find the measures of the labeled angles.
(x+81)° 4x°
(* +81) =
(Type a whole number.)
Answer:
108°
Step-by-step explanation:
The two given angle are vertical angles, which means they are congruent.
(x +81)° = 4x°
81 = 3x . . . . . . . subtract x, divide by °
27 = x . . . . . . . . divide by 3
(27 +81)° = 108° . . . . find the angle measure
The two marked angles have measures of 108°.
Which problem is equivalent to 3/5
A
3 x 5
B
5 x 3
C
3 ÷ 5
D
5 ÷ 3
15x+5y=10
5x-7y=12
solve using elimination
A person of height 1.6m up to the eye level is standing at a point 2m away from the bank of the river and found an angle of elevation of 30°. find the width of the river.
Step-by-step explanation:
tan30° = Height of person / (Distance away from river bank + river's width) = 1/√3.
Therefore 1.6m / (2m + x) = 1/√3
By cross multiplication, 1.6√3 = 2 + x.
Hence, x ≈ 0.77m.
A pair of jeans cost $30. There is a 6% sales tax determine the total cost of the jeans
5/4+x/2 =3
Hey can someone explain this please!
Answer:
x = [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{5}{4}[/tex] + [tex]\frac{x}{2}[/tex] = 3 ( multiply through by 4 to clear the fractions )
5 + 2x = 12 ( subtract 5 from both sides )
2x = 7 ( divide both sides by 2 )
x = [tex]\frac{7}{2}[/tex]
Jake has a can that contains 80% orange
juice and the rest water. The can has 1 liter
of water.
Write an equation using one variable that
can be used to find the total number of
liters of orange juice and water in the can.
How many liters of orange juice are
present in the can?
Answer:
equation 0.8C+1=C
4 liters of orange juice
Step-by-step explanation:
C for can
0.8 as 80%
1 for liters of water
0.8C+1=C
subtract 0.8C
1=0.2C
if 1 liter=20% of a can then 80% is 4 liters
Hope this helps! Plz award Brainliest : )
Solve the system: y = 3x + 5 and x = -2y - 4 Answer in this format: (x,y) NO spaces in your answer Enter Answer were BUITIONSWER
Answer:
-2,-1
Step-by-step explanation:
Solve the following system:
{y = 3 x + 5 | (equation 1)
x = -2 y - 4 | (equation 2)
Express the system in standard form:
{-(3 x) + y = 5 | (equation 1)
x + 2 y = -4 | (equation 2)
Add 1/3 × (equation 1) to equation 2:
{-(3 x) + y = 5 | (equation 1)
0 x+(7 y)/3 = -7/3 | (equation 2)
Multiply equation 2 by 3/7:
{-(3 x) + y = 5 | (equation 1)
0 x+y = -1 | (equation 2)
Subtract equation 2 from equation 1:
{-(3 x)+0 y = 6 | (equation 1)
0 x+y = -1 | (equation 2)
Divide equation 1 by -3:
{x+0 y = -2 | (equation 1)
0 x+y = -1 | (equation 2)
Collect results:
Answer: {x = -2 , y = -1
3. Given: BAM is a right angle. If mBAM=4x+2, then solve for the value of x.
Answer:
3. x = 17
4. a. m<NMP = 48°
b. m<NMP = 60°
Step-by-step explanation:
3. Given that <BAM = right angle, and
m<BAM = 4x + 22, set 90° equal to 4x + 22 to find x.
4x + 22 = 90
Subtract 22 from both sides
4x + 22 - 22 = 90 - 22
4x = 68
Divide both sides by 4
4x/4 = 68/4
x = 17
4. a. m<NMQ = right angle (given)
m<PMQ = 42° (given)
m<PMQ + m<NMP = m<NMQ (angle addition postulate)
42 + m<NMP = 90 (substitution)
m<NMP = 90 - 42 (subtracting 42 from each side)
m<NMP = 48°
b. m<NMQ = right angle (given)
m<NMP = 2*m<PMQ
Let m<PMQ = x
m<NMP = 2*x = 2x
2x + x = 90° (Angle addition postulate)
3x = 90
x = 30 (dividing both sides by 3)
m<PMQ = x = 30°
m<NMP = 2*m<PMQ = 2*30
m<NMP = 60°
