Given the area of a rectangular pool is 6x^3+19x^2+2x-20 and the length of one side of the pool is 2x+5, find the measure of the missing side.
The missing side length is
Answer:
The missing side length is 3x^2 + 2x -4
Step-by-step explanation:
Here, we are interested in calculating the length of the missing side.
Mathematically, the area of a rectangle = L * B
So since we have the area and one side, to get the other side, we shall need to divide the area by the side we have ;
Thus, the missing side length will be;
6x^3+19x^2+2x-20/2x+ 5
Please check attachment for the polynomial long division
The value of the other factor after the polynomial long division is 3x*2 + 2x -4
A whippet runs 50 feet in one second. An ostrich can run at 40 mph. A giraffe runs half a mile in a minute. A domestic cat scurries 15 yards in one second. Which animal is fastest?
Answer:
Step-by-step explanation:
You need to translate these into a common rate.
feet / second is probably the best one.
Whippet: 50/1 = 50 feet / second.
Ostrich: 40 miles/ hour = 40 *[ 1 hour/3600 sec] * [5280 feet / mile] = 58.67 ft/sec
Giraffe: 1/2 mile / minute * [1 minute/60 sec]*[5280 feet/mile] = 1/2 * 5280/60 = 44 feet/second
Cat: 15 yards / sec [ 3 feet/ yard] = 45 feet / second
Looks like the Ostrich is the fastest.
Solve for X: -7
06
6
6-
0-6
Answer:
-6<x<9 is the right option.
f(x)=2x+5 find f(-6)
Answer:
Step-by-step explanation:
f(x) = 2x + 5
f(-6)= 2(-6) + 5 = -12 + 5 = -7
The area of the circle is 78.5 units. What is the radius? Use 3.14 for pi.
Median Income per Household
Easy
PREVIOUS
NEKT
Amath class at Stevenson High School is studying a neighborhood outside of Chicago by
collecting household incomes. What is the median given the following known household
incomes of (in thousands)?
48,105,55, 68, 48, 78,39
Elimination Tool
А
48
B.
55
C
63
D
68
The value of y varies directly with x. If x=8, then y=104. What is the value of x when y=195
Answer:
x = 15
Step-by-step explanation:
Use the direct variation equation, y = kx
Plug in the values of x and y to find k
y = kx
104 = k(8)
13 = k
So, the direct variation equation will be y = 13x
Plug in 195 as y to find x
y = 13x
195 = 13x
15 = x
So, x = 15 when y = 195
As The value of y varies directly with x, when y = 195, x will be 15.
What is proportion?Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, The value of y varies directly with x.
∴ y = kx.
If x = 8, then y = 104.
104 = 8k.
k = 104/8.
k = 13. (constant of proportionality)
Now, y =195.
∴ 195 = 13x.
x = 195/13.
x = 15
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i need help with my math problem 8(−12)=
Answer:
The answer is -96
Step-by-step explanation:
First, you need to think of the question as a normal multiplication question. When there is a number in parenthesis next to a number with no symbol in between, that means multiplication. So multiply 8 with 12. This would equal 96. Since the sign of the greater number is negative, you would put a negative sign before the number 96, giving you the answer -96.
I hoped that helped! You are welcome! :)
HELP ME PLEASE i need this
1.step:-lets name the corner point as in the first photo2.step:- Now find the area of triangle ABD= 1/2 ×4×8=163.step:- NOW find area of the triangle DBC=1/2 ×4×2=44.step:- Now add both triangle area 16+4=20 hope you understood ♤♤♤♤♤♤♤♤
A rectangle has a length of 8.3cm and a permimeter of 22.4 cm. Enter the widty of the rectangle, in decimal form, in the box.
Answer:
the width is 2.9
Step-by-step explanation:the perimeter is found by L+W+L+W. Each L is going to be the same length and each width is going to be the same length since its a rectangle.
Double the length. 8.3+8.3= 16.6
Then subtract that from the perimeter. 22.4-16.6= 5.8
Then divide 5.8 as that is the total of the two missing sides. 5.8/2= 2.9
Then 2.9 is your answer. Hope that helps.
Please help and hurry please thank you!
Choose the equation that
represents this situation. Use c to represent the
variable.
Tori received a $50 gift card for her birthday. After buying some clothes, she
had $32 left on the card. How much did she spend on the clothes?
A.c=32+50
B.32c=50
C.32-c=50
D.50-c=32
Answer:
oh i have done these before but this one is a little confusing bc i got 2 answers B or C
What is the justification for step 2 in the solution process?
12 - X= 7x+32
Step 1: -X= 7x + 20
Step 2: -8x= 20
O A. the multiplication property of equality
O B. the addition property of equality
O C. the division property of equality
OD. the subtraction property of equality
Answer:
c- Division property of equality
Step-by-step explanation:
You would subtract 7x from the other side
Then divide by 8 to get x by itself.
Help me solve the following?
Answer:
[See Below]
Step-by-step explanation:
✦ Solve for [tex]10y+30=100[/tex].
✦ Subtract [tex]30[/tex] on each side:
[tex]30-30=Cancels~Out[/tex][tex]100-30=70[/tex]✦ Divide [tex]10[/tex] on each side:
[tex]10/10=Cancels~Out[/tex][tex]70/10=7[/tex]So the answer would be [tex]7[/tex].
~Hope this helps Mate. If you need anything feel free to message me.
It’s geometry I need help
Step-by-step explanation:
Hey there!!
Let's check!
The equation are:
y=x
x - y = 0......(i).
y = x+2
x - y +2 =0......(i).
From equation (i).
[tex]slope(m1) = \frac{ - coeff. \: of \: x}{ coeff. \: of \: y} [/tex]
[tex]m1 = \frac{ - 1}{ - 1} [/tex]
Therefore the slopeof 1st equation is 1.
Now,
From 2nd equation.
[tex]slope(m2) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]
[tex]m2 = \frac{ - 1}{ - 1} [/tex]
Therefore the slope of equation 2 is 1.
As per the condition of parallel lines,
m1= m2
From both equation we got,
m1=m2=1
So, the lines are parallel.
For perpendicular,
m1×m2 = -1
1×1 is not equal to -1.
So, they are not perpendicular.
So, The answer is Option A.
Hope it helps....
if the measure of an angle is 44 degrees , then the angle is acute which is true the converse the inverse the contrapositive none of these
HELP PLEASE!!!!!!!!!!!
Question 1
Write the equation of the line that is parallel to this line and passes through the point (7,-2)
y =1/7x-5
O y = (1/7)x - 3
O y = (1/7)x + 1
O y = -7x + 47
O y = -7x + 51
Answer:
Step-by-step explanation:
y + 2 = 1/7(x - 7)
y + 2 = 1/7x - 1
y = 1/7x - 3
A is the answer
2x +8=2(x + 4) what is x
Hey there!☺
[tex]Answer:\boxed{\text{True Solutions}}[/tex]
[tex]Explanation:[/tex]
[tex]2x+8=2(x+4)[/tex]
All of them are true solutions because 2x + 8 is equal to 2(x+4) which shows that is a true solution. So they are all true solutions.
Hope this helps!
In an inventory of 100 sodas, 65 are
diet and 30 are caffeine-free. Of the
diet sodas, 22 are caffeine-free. If a
soda in the inventory is selected at
random, what is the probability that it
is neither diet nor caffeine-free?
Answer:
5% I think
Step-by-step explanation:
Its mostly just a guess but I think its 5%
The probability that it is neither diet nor caffeine-free is 0.13.
What is Probability?Probability is the likeliness of an event to happen.
The number of total sodas = 100
The number of diet soda = 65
The number of Caffeine free sodas = 30
The number of caffeine free sodas out of diet sodas = 22
The number of soda that are neither caffeine nor soda is 100 -65-22 = 13
The probability that it is neither diet nor caffeine-free is 13/100 = 0.13
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Please help! Solve this problem. You might have to zoom in or flip the picture around. PLEASE DO NOT ANSWER THIS QUESTION UNLESS YOU KNOW HOW TO SOLVE IT!
Here is the answer for the problem I believe
7 wholes and one half divided by 1 whole and nine tenths
Answer:
3.947
Step-by-step explanation:
7 wholes = 7
one half = 0.5
1 whole = 1
nine tenths = 0.9
7.5/1.9 ≈ 3.947
A store sells rope by the meter. The equation p=0.8L represents the price p (in dollars) of a piece of nylon rope that is L meters long. How much does the nylon rope cost per meter? How long is a piece of nylon rope that costs $1.00?
Answer: a. $ 0.8
b. 1.25 meters
Step-by-step explanation:
Answer:
a. $ 0.8
b. 1.25 meters
Step-by-step explanation:
hope it helps
-3r + 16 >-r- 4r
solve r
show work
Answer:
r = - 8
Step-by-step explanation:
First, put -3r + 16 and -r - 4r equal to each other. -3r + 16 = -r - 4r, then combine the -r -4r to equal -5r so the equation is easier to solve. -3r + 16 = -5r, then add 3r to both sides to get 16 = = -2r and then divide both sides by -2 to get r = -8.
15+w=3w-11 then solve for w
Answer:
w=13
Step-by-step explanation:
Answer:
w =13
Step-by-step explanation:
[tex]15+w=3w-11[/tex]
Collect like terms
[tex]15+11 =3w-w\\[/tex]
Simplify
[tex]26 = 2w[/tex]
Divide both sides of the equation by 2
[tex]\frac{26}{2} = \frac{2w}{2}[/tex]
Simplify
[tex]13 = w[/tex]
Switch sides
[tex]w =13[/tex]
Aisha changed 1.45 + 2.38 to 1.5 + 2.4 in order to estimate the sum. What estimation method did she use?
Answer:
Hi there!
She used rounding to estimate the sum!
A fuel tank has a volume of 34 gallons. When filled with biodiesel, it provides 4,250,000 BTUs. How many BTUs does 1 gallon of biodiesel yield?
What is the opposite of 8.4
Answer:
-8.4
Step-by-step explanation:
Because if you want to find the opposite of a number then you find that same number on the other side on the number line for example, -4.5 you would go on the other side and you would get positive 4.5
Answer:
If you're refering to the additive inverse then it's, -8.4
Step-by-step explanation:
To get an additive inverse or more so an opposite, you simply add the negative to the original for 0.
Example: 8.4 + -8.4 = 0
What is the answer to -4x = 12
Steps to solve:
-4x = 12
~Divide -4 to both sides
x = -3
Best of Luck!
Answer:
x=-3
Step-by-step explanation:
-x=12/4
-x=3
×=-3
I have a question...is water wet?
there is a theory that says since we think it's wet that it gives the feeling so try thinking dryness when u feel water on your skin to see if water I'd actually wet
Change 20 5/9 to an
improper fraction.
Answer:
185/9
Step-by-step explanation:
20 5/9
Multiply 20 by the 9 (the denominator), and you''ll get 180.
Add the 5 (the numerator) to 180, and you'll get 185.
Then, place 185 over the denominator which is 9 and you get 185/9!
Answer:
[tex]\frac{185}{9}[/tex]
Step-by-step explanation:
This is the answer because:
1) The formula of changing mixed fractions to improper fractions is denominator times the whole number plus the numerator
2) Denominator = 9
Whole number = 20
Numerator = 5
9 x 20 + 5 = 185
Therefore, the answer is [tex]\frac{185}{9}[/tex]
Hope this helps!
The number N was increased by 20%, and then the result was again increased by 20% By what percent is the final result greater than the
original number?
E. 44%
F. 40%
G. 20%
H. 10%
Answer:
44%
Step-by-step explanation:
Suppose the original number is 100.
It is increased by 20 %, so the result will be 120.
The resulting number is again increased by 20%, which is increased by 120 *20/100, which is increased by 24. The final result will be 120+24 that is 144.
The final result is increased by 44 compared to the original number 100.
So, increase by 44%.