Answer:
x = -9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
3(x + 1) - 2x = -6
Step 2: Solve for x
Distribute 3: 3x + 3 - 2x = -6Combine like terms: x + 3 = -6Isolate x: x = -9Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(-9 + 1) - 2(-9) = -6Add: 3(-8) - 2(-9) = -6Multiply: -24 + 18 = -6Add: -6 = -6Here we see that -6 does indeed equal -6.
∴ x = -9 is the solution to the equation.
480/____=80
what does ____=???
Find 3 consecutive odd integers such that 10 times the first is 59 more than the third
9514 1404 393
Answer:
7, 9, 11
Step-by-step explanation:
Let x represent the middle integer. Then the first is x-2, and the third is x+2. The given relation is ...
10(x -2) = 59 +(x +2)
10x -20 = x +61 . . . . eliminate parentheses
9x = 81 . . . . . . . . . . . add 20-x
x = 9 . . . . . . . . . . . . . divide by 9
The integers are 7, 9, 11.
_____
Check
7·10 = 11 +59 . . . true
Bella earned $216 in interest after 4 years on a principal of $1,500. What is her interest rate?
Answer:
R = 148.6111%/year
Equation:
r = (1/t)(A/P - 1)
Calculation:
Solving our equation:
r = (1/4)((1500/216) - 1) = 1.48611111
r = 1.48611111
Converting r decimal to R a percentage
R = 1.48611111 * 100 = 148.6111%/year
The interest rate required to get a total amount, principal plus interest, of $1,500.00 from simple interest on a principal of $216.00 over 4 years is 148.6111% per year.
Answer: 3%
Step-by-step explanation:
216 / 1500 = 14.4
14.4/ 48 months = .003
.003 x 100 = 3%
what is 53829-(-538)7902(6)=?
Answer:
25561485
Step-by-step explanation:
please helpppppp ! i’m stuck :(
Answer:
b
Step-by-step explanation:
what is the equation of this graph?
Answer:
C. x=4
Step-by-step explanation:
In this graph the x value never changes, it is always equal to four. In this line the slope is undefined and there is no y-intercept. For all straight vertical lines, the equation will be x equals to whatever x value it is.
16. If 3x2 = 2y = 12, what is the value of x2y
f) Cosec2A + Cot4A = CotA – Cosec4A
Answer:
True (the sides are equal)
I hope this helps!
A recipe for shepherd's pie uses 3 cups potatoes, 2 cups carrots, 1 cup onions, 1 ½ cups ground round to create enough for 6 people. If you need to feel 16 people, how many cups of carrots do you need? Use scale factors and ratios to solve this problem. Remember to show your work.
Answer:
[tex]5\frac{1}{3}[/tex] cups of carrot.
Step-by-step explanation:
Let's set up proportional equation.
6 people need 2 cups of carrots
Let 16 people need x cups of carrots.
We could form ratio for number of people to cups of carrot used as
6:2
16:x
So, proportional equation would be
[tex]\frac{2}{6} =\frac{x}{16}[/tex]
Cross multiply
32=6 x
Divide both sides by 6.
x=[tex]\frac{32}{6}[/tex]
Divide to get mixed number
x=5[tex]\frac{2}{6}[/tex]
Simplify the fraction
x=[tex]5\frac{1}{3}[/tex] cups of carrot.
Out of 30 cookies,
4/5
are chocolate chip. How many cookies are chocolate chip
Answer:
24 are chocolate chip
Step-by-step explanation:
Hope this helps =)
Find the value of X and Y
Answer:
Answer: x=4, y=10
Step-by-step explanation:
Lines and Angles
When lines cross, the angles formed in the intersections meet certain properties that help us to solve some geometry problems.
We must recall the so-called linear angles, defined as the adjacent angles formed in the point where two lines cross.
Linear angles always add up to 180°
We can see line m intersects with the horizontal (unnamed) line forming two pair of linear angles, thus:
29x - 3 + 15x + 7 = 180
Simplifying:
44x +4 = 180
Subtracting 4:
44x = 176
Dividing by 44:
x = 176/44
x = 4
Now below the horizontal line, we find other pair of linear angles, thus:
13y - 17 + 15x + 7 = 180
Substituting x=4:
13y - 17 + 60 + 7 = 180
Simplifying:
13y + 50 = 180
Subtracting 50:
13y = 180 - 50 = 130
Dividing by 13:
y = 130/13 = 10
y = 10
Answer: x=4, y=10
Mrs. Austin wraps 3 presents in 1/4 of an hour. At that rate, how many presents will be wrapped in 3 hours?
Answer:
36
Step-by-step explanation:
Answer:
36 presents
Step-by-step explanation:
there will be 12 presents wrapped per hour, since there are 3 presents in 1/4 hour. 12x3 is 36 :).
Evaluate f(x)=x-5 when x=-5,x=0,and x=5
Answer:
f(x) = x - 5
f(-5) = -5 - 5
= -10
f(0) = 0 - 5
= -5
f(5) = 5 - 5
= 5
Hope this helps!
help me with this now please
Step-by-step explanation:
davis is right.
Raquel is at an arcade. She bought 8 tickets, and each game requires 2 tickets. -Write two equivalent expressions that gives the number of tickets Maddy has left in terms of x, the number of games she has already played.
Answer:
raquel can only play 4 games
so 2x4=x=8
or 8 divided by 4 is x=2
Step-by-step explanation:
how do u do this im confused
Answer:
Line one answers: -x^2. 2x^2. 0. 5x^2
Line two answers: -x^2. 12x^2. -2x^2. 8x^2
Line three answers: 4x^2. 8x^2. -x^2. x^2
Step-by-step explanation:
Answer:
-x^2. 2x^2. 0. 5x^2
-x^2. 12x^2. -2x^2. 8x^2
4x^2. 8x^2. -x^2. x^2
Step-by-step explanation:
Pls help it timed!!!!
Answer:
its subtraction property of equality
Step-by-step explanation:
it shows that the 3/4 next to the 16 was subtracted on both sides to cancel out on of the other 3/4 on the other side...
i uploaded a pic just incase u didnt understand
Hope this helps!!!
What property should you use first to solve 14+c=39
Answer:
Subtraction
Step-by-step explanation:
4r + 8 + 5 = -15 - 3r solve for r
Please help me ASAP!!! and please explain it because I do not understand how to do this at all.
Answer:
The 3 one
Step-by-step explanation:
So first you need to find all the angles.
Triangles all have a total degree of 180.
Then you can start doing trig. To find c I did (4sqrt3)cos60 that equals 3.464 which is 2sqrt3. Then I figured out a by doing the same thing but with sine. (4sqrt3)sin60 and that equals 6. Then I moved to the other triangle. I figured out d next. 6tan45° and that equals 6. Then I did b by doing 6/cos45 and I got 6sqrt2
In your own words, explain 3 or more sentences "how do you multiply rational number?" Tell how the signs, negative and positive, affect what you do. Identify what sign the product will have. Explain why the product will have a positive or negative sign.
Answer:
Rules & Examples of Integers multiplication.
Step-by-step explanation:
A rational number is a number that can be expressed as a fraction of integers (positive or negative numbers). Every integer is a rational number.
They are multiplied based on following rules :
Positive (+) x Positive (+) = Positive (+) , +2 x +2 = 4 Positive (+) x Negative (-) = Negative (-) , +2 x -2 = -4 Negative (-) x Positive (+) = Negative (-) , -2 x +2 = -4 Negative (-) x Negative (-) = Positive (+) , -2 x -2 = 4Answer:
negitive
Step-by-step explanation:
just did it
f=4x-3)²-(2x+4)²
a) factorise l'espression:
b)déduis en les solutions de l'equation: 4x-3)²-(2x+4)²=0
Answer:
A)(6x+1)(2x-7)
B)x={-1/6,7/2}
Step-by-step explanation:
A) (4x-3)²-(2x+4)²
(4x-3+2x+4)(4x-3-2x-4) (as a²-b²= (a+b)(a-b) )
(6x+1)(2x-7) (ans)
B) (4x-3)²-(2x+4)²=0
=>(6x+1)(2x-7)=0 (as we have gotten from a that (4x-3)²-(2x+4)² is equal to (6x+1)(2x-7) )
=>6x+1=0
=>2x-7=0
=>6x=-1
Therefore
x=-1/6
=>2x-7=0
=>2x=7
Therefore
x=7/2
plz help me ........
Answer a is it
Step-by-step explanation
uhh.i dumb the screenshot is here
Answer:
40
Step-by-step explanation:
Just use a calculator. I didn´t need to. My brother helped me a little
Which of the following statements correctly explains whether or not the two figures are congruent?
Answer: The two figures are congruent since there is a rotation that carries one figure onto the other.
Answer: The two figures are congruent since there is a rotation that carries one figure onto the other.
Step-by-step explanation: I just took the test
Lin found the area of a rectangle with a of length 5 in and a width of 3 inches, to be 15 square inches. Lin creates another rectangle that is a scaled copy with a scale factor of 2. What is the area of the new rectangle? How did you find it?
Answer:
60in^2Step-by-step explanation:
Step one:
given data
lenght L= 5in
width W= 3 in
area= L*W
area= 5*3= 15in^2
Step two:
The rectangle was scaled by 2, this means that the dimensions were doubled
therefore the lenght and width will be
L=5*2= 10
W=3*2= 6
hence the area is
Area= 10*6= 60in^2
What is the sum of the measures of the exterior angles of this triangle
Answer:
180°
Step-by-step explanation:
because because that's how much the angle of this triangle is
The sum of the exterior angles is always 360. This applies to any polygon.
note: If you wanted to sum up the interior angles, then the answer would be 180.
What is the compound interest when £1200 is invested for 8 years at a rate of 3.2% compound interest p.a.?
Answer:
the Compound interest is £1,543.90
Step-by-step explanation:
The computation of the compound interest is shown below:
As we know that
Compound interest is
Amount = Principal × (1 + rate of interest)^number of years
= £1,200 × (1 + 0.032)^8
= £1,200 × 1.286582318
= £1,543.90
hence, the Compound interest is £1,543.90
We simply applied the above formula so that the correct value could come
And, the same is to be considered
PLEASE HELP ME!!!!
What is 567-58y+375-56=13c-5s-456x249=?
I NEED HELP!!
Answer if you know the correct answer
Answer:
a = -2
b = -30
c = -22.5
d = -18
Step-by-step explanation:
I answered all the equations and highlight the correct ones which are answer choices B and C.