Answer:
-4
6x+29=5
6x=5-29
6x=-24
x=-4
Answer
es-4
Step-by-step explanation:
A rectangular swimming pool is surrounded by a deck as shown. The area (in square feet) of the pool is represented by x^2-10x+16. a. Write a binomial that represents the width of the pool. b. Find the perimeter of the pool when the width of the deck is 17 feet.
Answer:
Step-by-step explanation:
First we need to factorize the given area of the rectangle as shown;
Given
A(x) = x^2-10x+16
Factorize
A(x) = x²-8x-2x+16
A(x) = (x²-8x)-(2x+16)
A(x) = x(x-8)-2(x-8)
A(x) = (x-2)(x-8)
Since area of a rectangle = length ×width
Hence the binomial that represents the width of the pool is w(x) = x-2
b) If the width of the deck is 17feet
Width = x-2
17 = x-2
x = 17+2
x = 19feet
Get the length
Length = x-8
Length = 19-8
Length = 11
Get the perimeter
P = 2(L+W)
P = 2(17+11)
P =2(28)
P = 56feet
Perimeter of the deck is 56feet
In row 2, write the equation of a quadratic function that satisfies f(0) = 2.
80 students were at the volleyball game.
Some went home and now there are only 52. What is the percent of change?
Molly is making bags of trail mix for the hiking club. She will use 20 ounces of walnuts. 11.1 ounces of almonds, and 24.8 ounces of cashews. This amount makes 26 bags of trail mix. How many ounces are in each bag?
Answer:
2.15 ounces
Step-by-step explanation:
The total ounces of nuts in the bag is calculated as:
20 ounces of walnuts + 11.1 ounces of almonds + 24.8 ounces of cashews = 55.9 ounces.
From the question we are told that these amounts make 26 bags.
The number of ounces that are in each bag is calculated as:
26 bags = 55.9 ounces
1 bag = x ounces
Cross Multiply
26 bags × x ounces = 1 bag × 55.9 ounces
x ounces = 1 bag × 55.9 ounces/26 bags
x ounces = 2.15 ounces
Therefore, there are 1.94 ounces in each bag
Name a set of vertical angles
Answer:
EKH and FKG
Step-by-step Explanation:
you could choose any sets with a common vertex. i just chose those two
At the beginning of a baking session, there were 2.26 kilograms of flour in a bag. By the end of the baking session, there were 0.98 kilograms of flour in the bag. What is the percent decrease in the amount of flou
Answer: 56.64%
Step-by-step explanation:
Given: Previous amount of flour = 2.26 kilograms
By the end of the baking session, amount of flour = 0.98 kilograms
Decrease in amount = 2.26-0.98 = 1.28 kilograms
Percent decrese = [tex]\dfrac{\text{decrease in amount }}{\text{previous amount}}\times100[/tex]
[tex]=\dfrac{1.28}{2.26}\times100\approx56.64\%[/tex]
Hence, the percent decrease in the amount of flour = 56.64%
Find the center and radius of the equation of the circle
a). x2 + y2 – 8x +6y + 9 = 0
Compare the given equation with the general equation of a circle
Given equation: x² + y² - 8x +6y +9 = 0
Equation of a circle: x² + y² + 2gx + 2fy + c = 0
2g= -8; g = -8÷2= -4
2f = 6; f = 6÷2 = 3
c= 9
Solving for radius of the circle...
r =√g² + f² - c
g= -4, g² = ±16
f = 3, f² = 9
Substituting, we have
r = √16 + 9 - 9
r = √25-9
r=√16
r = 4
Therefore, the centre and radius of the circle is 9 and 4 respectively.
Hope this helped!
Please mark brainliest;-)
A gas station sells unleaded regular and unleaded premium gasoline. The price per gallon charged by the station is$1.299 for unleaded regular and $1.379 for unleaded premium. The cost per gallon from supplier is$1.219 for unleaded regular and $1.289 for unleaded premium. If equals the number of gallons sold of regular and equals the number of gallons sold of premium:(a) Formulate the revenue function from selling and gallons of the two grades of gasoline respectively?(b) Formulate total cost for purchasing and gallons?(c) Formulate the total profit? d) what is the total profit expected to equal if the station sells 100,000 gallons of unleaded and regular and 40000 of unleaded premuim?
Answer:
a) Revenue function = 1.299r + 1.379p
where: r = gallon of unleaded regular gasoline and p = gallon of regular unleaded premium gasoline
b) cost function = 1.219f + 1.289p
c) profit function = (1.299r + 1.379p) - (1.219f + 1.289p) = 1.299r - 1.219r + 1.379p - 1.289p = 0.08p + 0.09p
d) total profit = (0.08 x 100,000) + (0.09 x 40,000) = $8,000 + $3,600 = $11,600
What is the slope of the line?
x+4 over negative 5 =3
Answer:
x = -4 3/5 or -4.6
Step-by-step explanation:
(x+4)/-5 = 3
Divide -5 from both sides
x + 4 = -3/5
Subtract 4 from both sides
x = -4 3/5
In Triangle BCD, BC=BD, and angle B =13x-35, angle C = 5x-19, angle D=2x+14. Find the measure of each angle
Answer:
[tex]B = 108[/tex]
[tex]C = 36[/tex]
[tex]D = 36[/tex]
Step-by-step explanation:
Given
[tex]B =13x - 35[/tex]
[tex]C = 5x - 19[/tex]
[tex]D=2x+14[/tex]
[tex]BC = BD[/tex]
Required
Determine the measure of each angle
The angles in a triangle sum up t 180. i.e.
[tex]B + C + D = 180[/tex]
Since [tex]BC = BD[/tex], then [tex]C = D[/tex]
[tex]B + C + D = 180[/tex] can then be rewritten as:
[tex]B + C + C = 180[/tex]
[tex]B + 2C = 180[/tex]
Substitute values for B and C
[tex]13x - 35 + 2(5x - 19) = 180[/tex]
Open Bracket
[tex]13x - 35 + 10x - 38 = 180[/tex]
Collect Like Terms
[tex]13x + 10x = 180 + 38 + 35[/tex]
[tex]23x= 253[/tex]
Divide both sides by 23
[tex]x = 11[/tex]
To get the measure of each angle, substitute 11 for x in the expressions of B, C and D
[tex]B =13x - 35[/tex]
[tex]B = 13 * 11 - 35[/tex]
[tex]B = 108[/tex]
[tex]C = 5x - 19[/tex]
[tex]C = 5 * 11 - 19[/tex]
[tex]C = 36[/tex]
[tex]D=2x+14[/tex]
[tex]D = 2 * 11 + 14[/tex]
[tex]D = 36[/tex]
The measure of m<B, m<C and m<D are 108, 36 and 46 respectively
What are triangles?From the triangle BCD, if BC=BD, then
m<C = m<D (Base angles are equal)
Given the following paramters:
m<C = 5x-19m<D = 2x + 14Hence;
5x - 19 =2x + 14
5x- 2x = 14 + 19
3x = 33
x = 11
m<B = 13x - 35
m<B = 13(11) - 35
m<B = 108 degres
m<C = 5x - 19
m<C = 55- 19
m<C = 36
m<D = 180 - 144
m<D = 36 degreees
Hence the measure of m<B, m<C and m<D are 108, 36 and 46 respectively
learn more on angles here: https://brainly.com/question/16281260
The sum of two numbers is 22 and the sum of their squares is 250. Find the following information numbers
Answer:
REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE100016784994
Step-by-step explanation:
REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
How do you write this in index form?
The general form is nthroot{a} in index form looks like this: a^(1/n).
Let's rationalize the denominator first.
Doing so, we get (1/2)sqrt{2}.
In index form, the sqrt{2} = 2^(1/2).
We now have (1/2)[2^(1/2)].
Is this clear?
please help me with my homework my friends won’t
Answer:
Part A
1. Celsius
2. 100 C
3. 273.15 Kelvin.
4. 273, formula: °C + 273.15 = K.
5. -273 celsius
6. Farenheit
Part B:
7. True
8. False, you add not subtract.
9. False, it's 373.1 K
10. True
did you know that if you smile you can breath.
just kidding just wanted to see you smile
Answer:
How do I keep falling for this trick!???
Awwwwwwwwwwww tyyyyy <3
Find the value of y. -6y + 14+4y=32.
A.18.
B.1.8.
C.-9.
D.9
Answer:
Step-by-step explanation:
Samantha buys $128 worth of goods at a 25% discount. If the sales tax rate is 6.4%, what is the total amount she will pay?
Answer:
To do this, you need to find the amount of discount of the original price. To find a percent of a number you first convert the percent to a decimal (i.e. 25% = 0.25). Then you multiply this decimal by the original price. Therefore, the sale price is $17.21. If example.
Step-by-step explanation:
Answer:
102.144
Step-by-step explanation:
128 times 0.25 = 32
128 - 32 = 96
96 times 1.064 = 102.144
She will need to pay 102.144
Question: If an electric train is moving north at 100mph and a wind is blowing to the west at 10mph, which way does the smoke blow?
Answer:
There is no smoke due to it being an electric train.
Step-by-step explanation:
Didn't fool me. ;)
Plzzzzzz helpppppppppppp
No like for real I don’t understand:(
Answer: Yes, No
Step-by-step explanation:
can someone please help and explain
Answer:
Im not sure how you are supposed to answer this but they are similar by side angle side
Step-by-step explanation:
We are given that NO/OQ=PO/OM
This tells us that the sides are in a ratio.
We also know that angle NOM is equal to angle POQ
Now we have 2 sides and 1 angle thus they are similar by side angle side
I hope this helps you come up with your statements and reasons
Answer:
I think the answer is scalpel porators
Step-by-step explanation:
let a(-a -b) b(-a -b) distance between two points
fast
Answer:
A(-a,-b)and B(-a,-b) be
distance between AB= square root(x2-x1)^2+(y2-y1)2
AB= square root (-a)-(-a)^2+(-b)-(-b)^2
AB= squareroot (-a+a)^2+(-b+b)^2
AB= square root (0)^2+(0)^2
AB=square root 0+0
AB= square root 0
AB=0 answer
this may help you !!!!!
Some equations have the form y=kx, where k is a number.
Which equation CANNOT be written in the form y=kx?
y=x
y=x+3
y/2=x
y= ‐1/10x
Answer:
y=x+3
Step-by-step explanation:
The equation "y=x+3" cannot be written in the form y=kx because the form doesn't use addition as a basic operation. Let's try verifying the choices:
y=x is possible if the value of k is 1, provided that both y and x are of the same value.
y/2=x is possible because y=2x, provided that 2 is the value of k.
y=-1/10x is possible because -1/10 is the value of k. This is just the same with y=kx.
What is the volume of a container that is 5cm tall by 10cm long and 4cm deep
Answer:
200cm³
Step-by-step explanation:
lenght×width×height=Volume
10cm×4cm×5cm=200cm³
hey, this is homework that is due today❤️ feel free to help thank you ☺️ have a g❤️❤️d day☺️
Answer:
About $1.82
Step-by-step explanation:
PLEASE HELP ME
An alloy is a mixture of metals.Suppose that a certain alloy is made by mixing 70 grams of an alloy that contains 12% copper with 90 grams of pure copper.
Answer the questions below. Do not do any rounding.
(a) How many grams of copper are in the resulting mixture?
Il grams
(b) What percentage of the resulting mixture is copper?
Answer:
(a) How many grams of copper are in the resulting mixture?
= 160 grams
(b) What percentage of the resulting mixture is copper?
= 61.5%
Step-by-step explanation:
(a) How many grams of copper are in the resulting mixture?
From the question: Suppose that a certain alloy is made by mixing 70 grams of an alloy that contains 12% copper with 90 grams of pure copper.
The number of grams of copper in the resulting mixture = 70 grams + 90 grams = 160 grams
(b) What percentage of the resulting mixture is copper?
70 grams of an alloy that contains 12% copper = 70 × 12%
= 70 grams × 0.12
= 8.4 grams
The number of grams of copper in the resulting mixture = 160 grams
The percentage of the resulting mixture that is copper is
=( 8.4 grams + 90 grams of pure copper/160) × 100
= 98.4/160 × 100
= 61.5%
m/9 - 9 = -8. please help
$25 with a 300% increase
Answer:
100 dollars
Step-by-step explanation:
So amount of increase = (300/100) * 25
= 3 * 25
= 75 dollars
Then the final amount = (25 + 75) dollars
= 100 dollars
Find the percent increase round to the nearest percent
From 42 acres to 72 acres
Answer:
58.333333 percent
Step-by-step explanation:
58 percent
I took 42 divided by 72 times 100
plz help me its do today
what is 1/2 of 6/7
Answer:
3/7
Step-by-step explanation:
6/14 which equals 3/7