Answer:
The middle term is, -5x 2 its coefficient is -5 . The last term, "the constant", is -2 Step-1 : Multiply the coefficient of the first term by the constant 3 • -2 = -6
How many gallons of milk containing 1% fat is mixed with milk containing 4% fat to obtain a 15 gallon mixture
containing 2% fat?
Answer:
5%
Step-by-step explanation:
milk dont have fat but it contains 5% of milk
If using the method of completing the square to solve the quadratic equation x^2-13x+14=0, which number would have to be added to "complete the square"?
Answer:
169/4
Step-by-step explanation:
Take the coefficient of the x term. Here it's -13. Now halve that, obtaining -13/2. Finally, square this result. We get 169/4. This is the desired number.
x^2 - 13x + 169/4 - 169/4 + 14 = 0
Harry and Luna together ate 56 Chocolate Frogs. Harry ate 6 more Chocolate Frogs than Luna. How many Chocolate Frogs did Luna eat?
Answer: 25 chocolate frogs eaten by Luna
Step-by-step explanation:
let the amount of chocolate frogs eaten by Luna = x
and the amount of chocolate frogs eaten by Harry = 6+ x
Such that total a,mount of chocolate frogs eaten by both of them
= x +( 6+x) = 56
Step 2- Solving
x+6+x=56
6 + 2x= 56
2x= 56-6
2x= 50
x= 50/2
x= 25
x= 25 chocolate frogs eaten by Luna
6 +x= 6+ 25= 31 chocolate frogs eaten by Harry.
3x-2y=12 and 3x+5y=33
Answer:
x=6, y=3. (6, 3).
Step-by-step explanation:
3x-2y=12
3x+5y=33
--------------
-3x+2y=-12
3x+5y=33
-------------------
7y=21
y=21/7=3
3x-2(3)=12
3x-6=12
3x=12+6
3x=18
x=18/3=6
find the perimeter of WXYZ
Answer:
40 but see below.
Step-by-step explanation:
You have to assume that the figure is a parallelogram. That is never a safe assumption, but you have to make it because there is nothing else you can do.
That being the case, to get the perimeter, you just add the sides. If say well y could be just about any value with some limitations, you would be correct.
Per = 12 + 12 + 8 + 8 = 40
need help. PLEASE! I dont understand
Evaluate the sum from n equals four to ten of quantity five n plus two.
202
207
254
259
Answer:
The answer is D. 259
Step-by-step explanation:
Step 1: [tex]\sum _{n=4}^{10}5n+2[/tex]
Step 2: [tex]\sum _{n=1}^{10}5n+2-\sum _{n=1}^35n+2[/tex]
Step 3:
[tex]\sum _{n=1}^{10}5n+2=\sum _{n=1}^{10}5n+2-\sum _{n=1}^35n+2\\\sum _{n=1}^{10}5n+2=295[/tex]
[tex]\sum _{n=1}^35n+2=\sum _{n=1}^35n+\sum _{n=1}^32=36\\[/tex]
Step 4: [tex]295-36=259[/tex]
A car rental agency charges $31 per day to rent a car and $13.95 per day for a
global positioning system (GPS). Customers are charged for their full tank of gas
at $3.60 per gallon. A car has a 16 gallon tank and a GPS.
a) Write a function rule for the total bill b as a function of the days d the car is
rented,
b) What is the bill for a 10 day rental?
Answer:
$31.00 x10 equals 310 13.95 * 10 =$139.50. 360 * 16 $57
Alex wrote the equation y = 2x + 3 to describe a tile pattern. Use his equation to complete the table. how would you graph it
£240 is divided between Sara, Gordon & Malachy so that Sara gets twice as much as Gordon, and Gordon gets three times as much as Malachy. How much does Gordon get? (Quick Pls)
Answer:
£72
Step-by-step explanation:
let Malachy amount be x then Gordon's is 3x and Sara is 2 × 3x = 6x
Then
x + 3x + 6x = 10x = £240 ( divide both sides by 10 )
x = £24
Gordon gets 3x = 3 × £24 = £72
Mafhvjfifjdfjujufugjfdu5\6 + 3\4 = ?
IM TIMED PLEASE HELP ME please help math question
What is are some example of an expression?
Answer: The definition of an example of expression is a frequently used word or phrase or it is a way to convey your thoughts, feelings or emotions. An example of an expression is the phrase "a penny saved is a penny earned." An example of an expression is a smile.
Step-by-step explanation:
5 times a number increased by 2 is the
same as 8 more than 3 times the number.
Find the number.
Answer:
Step-by-step explanation: 5*x + 2 = 3*x + 8
5x - 3x = 8 - 2. Which yields. 2x = 6. Therefore, x = 3. QED
Conserve Tree Foundation is trying to increase the number of trees in a region that has suffered deforestation. It plants a certain number of trees each year, resulting in a linear growth model, y1 = 5t, where t represents the time that has passed in years and y1 represents the number of trees planted. In the same region, the number of trees remaining, y2, is inversely proportion to the time elapsed, t. This is represented by . The graphs of the two equations are shown.
The answer will be 4
What is the value of the missing angle ? HELPPP PLSSS
Answer:
The angle of a straight line is 180 degrees.
180 degrees-71 degrees=109 degrees
Step-by-step explanation:
PLease help the question is in the photo
Draw a ring around the point which does not lie on the line y = 3x + 2 * 1 point (100, 302) (2, 8) (0, 4) (9, 29)
Answer:
(0,4)
Step-by-step explanation:
Given the line equation:
y = 3x + 2
Given the points :
(100, 302)
x = 100 ; y =302
302 = 3(100) + 2
302 = 300 + 2
(2, 8)
8 = 3(2) + 2
8 = 6 + 2
(0, 4)
4 = 3(0) + 2
4 ≠ 2
(9,29)
29 = 3(9) + 2
29 = 17 + 2
7,21,63
what’s the common ratio, recursive function, explicit formula, and the 12 term
Answer:
See explanations below
Step-by-step explanation:
The given sequence 7,21,63... is geomertic in nature
The nth term is expressed as;
Tn = ar^n-1
a is the first term = 7
r is the common ratio = 21/7 = 63/21 = 3
n is the number of terms
Substitute
Tn = 7(3)^n-1
For the 12th term, when n = 12
T12 = 7(3)^12-1
T12 = 7(3)^11
T12 = 7(177,147)
T12 = 1,240,029
Hence the 12th terms is 1,240,029
For the recursive function
First term = 7(1)
2nd term T2 = 21 = 7(3)
3rd term T3 = 63 = 7(9) = 7(3^2)
Tn = 7(3^n)
Hence the recursive function is 7(3^n)
Kayla made a full pot of coffee she poured out 52 ounces she now has 18 ounces left how many ounces were in a full pot of coffee
PLEASE HELP! GIVING POINTS :)!
Answer:
1 and 1/8
Step-by-step explanation:
An equation is different from an expression because it has...
Answer:
Because it bears an equal sign
Expressions don't have a definite solution to the problem.
Gordon types 2,146 words in 29 minutes. Find the unit rate.
Sign out Fred's bedroom has an area of 54 square feet. The bedroom is 6 times as many square feet as Fred's closet. If the closet is 3 feet wide, what is the length of the closet?
Answer:
3 feet
Step-by-step explanation:
Area of bedroom = 54 square feet.
Area of closet = Area of bedroom / 6= 54/6= 9 square feet.
Area = length * breadth
9 = length *3
length = Area/ width
length = 9/3= 3 feet.
As the bedroom is having 6 times the area of the closet we will divide the area of the bedroom by 6 to get the area of the closet ( 54/6= 9) . Area is obtained by multiplying the length and the breadth so we have the width which 3 feet , we divide the area with the width ( 9/3= 3) to get the length = 3 feet.
I really need help??
Triangles please and thanks
Answer:
60 degrees
Step-by-step explanation:
All sides are equal so it is an equilateral triangle.
Equilateral triangles have 60 degree corners.
Need help ASAP plz
What is the slope of (1,4) (7,2)
Answer:
3 or 3/1
Step-by-step explanation
the equation for finding the slope when given two coordinate pairs is (y₂ - y₁)/(x₂ - x₁), aka change in y over change in x.
pick one of your coordinate pairs to be y₂ and x₂. it doesn't matter which coordinate pair you choose. the remaining coordinate pair will be your y₁ and x₁.
for this example, i'll use the coordinate pair (7, 2) as my y₂ and x₂ and (1, 4) as my y₁ and x₁.
first, substitute the x-value and y-value from the first coordinate pair.
(y₂ - y₁)/(x₂ - x₁) ⇒ (7 - y₁)/(2 - x₂)
then substitute the y-value and x-value from the remaining coordinate pair.
(7 - y₁)/(2 - x₂) ⇒ (7 - 4)/(2 - 1)
subtract 7 - 4.
(7 - 4)/(2 - 1) ⇒ (3)/(2 - 1)
subtract 2 - 1.
(3)/(2 - 1) ⇒ (3)/(1) or 3/1
simplify.
3/1 ⇒ 3
i hope this helps! have a great day <3
what is the initial value of the function:
f(x)=3/2(2)^x
Answer:
the initial value -- f(0) -- results in a value of 1.5
Step-by-step explanation:
f(0) = [tex]\frac{3}{2}[/tex] · [tex]2^{x}[/tex] (any value raised to the power of zero equals one)
f(0) = [tex]\frac{3}{2}[/tex] · 1
f(0) = 3/2 or 1.5
pls help me with this multiple choice !
Answer:
C
Step-by-step explanation:
[tex] \sin(30) = \frac{y}{32} \\ y = 16 \\ \cos(30) = \frac{x}{32} \\ x = 16 \sqrt{3} [/tex]
Hey guys please help me!
Answer: Option 2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Because it is