Answer:
Step-by-step explanation:
-(12-8x)=5x+15-7x
-12+8x=5x+15-7x
8x+7x-5x=15+12
10x=27
x=27/10
Answer:
x = 27/10
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
-(12 - 8x) = 5x + 15 - 7x
Step 2: Solve for x
Distribute negative: -12 + 8x = 5x + 15 - 7xCombine like terms: -12 + 8x = -2x + 15Add 2x on both sides: -12 + 10x = 15Isolate x term: 10x = 27Isolate x: x = 27/10Jim’s backyard is rectangular with dimensions of 75 feet by 120 feet. He is planning to designate part of the yard to plant a vegetable garden. The garden will be a similar rectangle, using a scale factor of 2/5. How much fencing will he need if he wants to enclose the garden on all four sides?
He will need __________ feet of fence.
Answer:
15.6 feet of fence
Answer:
The answer is 45 ft. I hope i helped <3
Step-by-step explanation:
3. Solve the following application of a system of linear equations.
Two students in the same Spanish class, Cindy and Ruben, plan to get together after school to make
vocabulary flashcards. Cindy started on the project yesterday and has already made 14 flashcards.
Ruben hasn't started yet so he has none. Since Cindy makes 9 flashcards per minute and Ruben makes
10 flashcards, Ruben will soon have the same number of flashcards.
Which variables will you use and what do they represent?
Write your system of linear equations below.
Solve the system.
How much time will it take for Cindy and Ruben to have the same number of flashcards?
How many flashcards will each student have at that time?
Answer:
Equations:
[tex]y = 14 + 9 x[/tex] --- Cindy
[tex]y = 10 x[/tex] --- Ruben
Solution to equation:
Time they have the same amount: 14 minutes
Number of cards they have at that time: 140 flashcards
Step-by-step explanation:
Solving (a): Variables and what they represent
The variables to use are x and y
Where x represent the minutes and y represents the number of flashcards in x minutes
Solving (b): System of linear equation
Cindy:
[tex]Existing\ Flashcards = 14[/tex]
[tex]Additional = 9[/tex] per minute
Total number of flashcards (y) in x minutes is:
[tex]y = Existing\ Flashcards + Additional * x[/tex]
[tex]y = 14 + 9 * x[/tex]
[tex]y = 14 + 9 x[/tex]
Ruben:
[tex]Rate = 10[/tex] per minute
Total number of flashcards (y) in x minutes is:
[tex]y = Rate * x[/tex]
[tex]y = 10 * x[/tex]
[tex]y = 10 x[/tex]
Solution to Equations:
Time they have the same amount.
To do this, we [tex]equate[/tex] [tex]both[/tex] expressions
i.e.
[tex]10x = 14 + 9x[/tex]
Collect Like Terms
[tex]10x - 9x = 14[/tex]
[tex]x = 14[/tex]
Number of cards they have at that time.
Here, we simply substitute 14 for x in any of the equations.
[tex]y = 10 x[/tex]
[tex]y = 10 * 14[/tex]
[tex]y = 140[/tex]
or
[tex]y = 14 + 9 x[/tex]
[tex]y = 14 + 9 * 14[/tex]
[tex]y = 14 + 126[/tex]
[tex]y = 140[/tex]
plssss it’s due in 5 min answer plsss
Tamara has $42.00 to buy party decorations. She wants to buy 3 packs of party hats, 2 bags of balloons, and a banner
Answer:
Step-by-step explanation:
Add everything together then you get 22.02 and she could buy everything but you gotta figure out the other part b bc I’m stuck on it
Jared and Pedro walk 1 mile in about 15 minutes. They can keep up pace for several hours. About how far they walk in 65 minutes
Jared and Pedro walked a total of 4.3 miles
Step-by-step explanation:The equation for distance is speed = distance ÷ time.Rearrange the equation to make distance the subject:(multiply both sides by time)
Distance = Speed × Time
Convert your numbers into suitable units:1 mile ÷ 15 = 0.06m/minute
Finally, substitute the numbers into the equation and solve:Distance = 0.06 × 65 = 4.3miles (rounded to the nearest decimal place)
Proving the Sum of the Interior Angle Measures of a Triangle Is 180
The sum of the interior angles of a triangle is 180° is proved below.
We are given that;
To prove angle sum property of triangle
Now,
There are different ways to prove that the sum of the interior angles of a triangle is 180°. Here are three common proofs:
Proof : Using parallel lines and alternate interior angles
Since the line PQ is parallel to the side BC, and AB and AC are transversals, we can use the property that alternate interior angles are congruent.
Therefore, we have:
∠QAC = ∠ACB
∠PAB = ∠ABC
Adding these equations, we get:
∠QAC + ∠PAB = ∠ACB + ∠ABC
But ∠QAC + ∠PAB is a straight angle, which measures 180°. So, we have:
180° = ∠ACB + ∠ABC
Adding ∠CAB to both sides, we get:
180° + ∠CAB = ∠ACB + ∠ABC + ∠CAB
Simplifying, we get:
180° = ∠ACB + ∠ABC + ∠CAB
Hence, by the triangles the answer will be given above.
Learn more about the triangles;
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Need help :) plss will mark brainliest
Answer:
C
Step-by-step explanation:
What is the value of the value below.
4/5+3/5+3.5*5
Answer:
18.9
Step-by-step explanation:
McDonalds sold 7 boxes of chicken nuggets for $25.90 Burger King sold 3 boxes of chicken fingers for $11.07. Which food item has a higher unit price? (1 Point McDonalds O Burger King.
Answer:
burger king
Step-by-step explanation:
math
(Giving brainliest)
Solve five ninths plus four sixths.
A) sixty six fifty fourths
B) ten fifteenths
C) thirty ninths
Answer:
C
Step-by-step explanation:
PLS HELP! URGENT!
The sides of a square are 5 square root of 2 inches long. What is the area of the square? (3 points)
20 in2
10 square root of 2 in2
50 in2
25 square root of 2 in2
Answer:
A
Step-by-step explanation:
Answer: 25 radical 2 in^2 i think
Step-by-step explanation:
24/30 in the simplest form
Answer:
The answer to this question is 4/5.
Answer:
4/5 or 0.8
Step-by-step explanation:
we divide tap and bottom by 6.
y-2=1/4(x-3)
how can i graph this?
Answer:
your anwer is x=4y-5
Step-by-step explanation:
Mental Math A typical tip in a restaurant is 15% of the total bill. If the bill is $60, what would the
typical tip be?
The typical tip would be $1.
Answer:
It would be $9.
Because 60 * 0.15 = 9
Step-by-step explanation:
MR Collins made a scatter plot to show the relationship between the number of absences a student in her class has the student final exam score
6. Slope =
Y-Intercept
Equation in slope-intercept form:
Solve (x + 3)2 - 5 = 0 using the quadratic formula.
A) x= 3 + 15 , x= 3 - 15
OB) x= 3
C) x= -3
ODx= -3 + 15x= -3 - 15
Answer:
x=−3±√5
Decimal Form:
x=−0.76393202…,−5.23606797
So D would be your answer
Step-by-step explanation:
Solve 4h = 92 for h.
h = ___
Answer:
H= 23
Step-by-step explanation:
92 divided by 4 will give you 23
Answer:
h = 23
Step-by-step explanation:
Divide each term by 4 and simplify.
Given the graph that is shown. What is the range of the function?
Answer:
B
Step-by-step explanation:
Range is Y and the point is -4 to 2
If point E is the midpoint of segment AC and point D is the midpoint of segment BC, which expression represents the value of u?
A. u equals p over q
B. u = 1/2s
C. u equals q over p
D. u = 2s
Answer:
last answer D
i took the test
The expression that most effectively represents u's value would be:
D). u = 2s
What is expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
Given that,
In ΔABC, E is the midpoint in the segment AC and D is the midpoint of BC.
Now,
CE = 0.5 × AC(midpoint)
CD = 0.5 × CB (midpoint)
Thus,
CE/AC = CD/CB = ED/AB = 1/2
As ED = s and AB = u
So, u = 2s
Learn more about concept here:
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if the number of boys to girls in gym class is 2:3, what could be the number of students in the gym class
Answer:
I think that it is 5
Step-by-step explanation:
There are 2 boys and 3 girls.3+2=5
Please tell me if I'm right.
20 POINTS!!!!please help due in 20 mins
Answer:
rate of change is -1/3 (table) and 4 (graph)
Function 2 has the greater rate of change because the graph is steeper, and |4| is bigger than |-1/3|
Step-by-step explanation:
Answer:
(a) Function 1 : -2 Function 2 : 3.
(b) Function 2
Step-by-step explanation:
For function #1, you can calculate the rate of change (another word for slope) by counting the change between each y value. So, when x is 2, y is -3. When x is 3, y is -5. The rate of change is -2!
Show your work by marking an arrow for each y and writing -2.
Function #2, you need to find the slope (rate of change) by drawing a rise/run line when the equation line hits a point on the graph. One point is (-1,1) another point is (0,4). The slope/rate of change is 3.
Determine the equation for the line that passes through (2,-1) and (6,5)
Write in point slope form
Write in slope intercept form
Write in standard form
Answer with explanation:
The equation of a line passing through (a,b) and (c,d) is given by :-
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
Equation of line passing through (2,-1) and (6,5) is given by :-
[tex](y-(-1))=\dfrac{5-(-1)}{6-2}(x-2)\\\\\Rightarrow\ (y+1)=\dfrac{6}{4}(x-2)[/tex]
[tex]\\\\\Rightarrow\ (y+1)=\dfrac{3}{2}(x-2)\ \ \ \ \ \text{[point slope form} : (y-y_1)=m(x-x_1)] \\\\\Rightarrow\ y+1=\dfrac{3}{2}x-3\\\\\Rightarrow\ y=\dfrac32x-4\ \ \ \ \ [\text{ slope intercept form} : y= mx+c]\\\\\Rightarrow\ 2y= 3x-2\times4\\\\\Rightarrow\ 2y=3x-8\\\\\Rightarrow\ 3x-2y=8 \ \ \ \ [\text{Standard form : Ax + By = C}][/tex]
A middle school took all of its 6th grade students on a field trip to see a ballet. The students filled 4753 seats, which was 97% of the total number of seats in the theater. How many total seats were in the theater?
Answer:
4900
Step-by-step explanation:
11. A tank is being filled up with water. At t=0, we know that the tank holds 150 gallons of
water, and after one hour ( t=1) , it holds 180 gallons of water.
a) Assuming that the volume of water in the tank, V, is a linear function of time, t, in hours,
find a formula for V ( linear function)
b) BY what percent did the volume of water increase from t=0 to t= 1?
Answer:
V = 30t + 15020%Step-by-step explanation:
Given
Initial volume = 150 galVolume after 1 hour = 180 gala) The volume formula will be:
V = 30t + 150As 150 is y-intersect (volume at zero time) and the rate of change (the slope) is 30 gal per hour
b) Increase of volume by percent:
30 gal increase on top of 150 gal
30/150*100% = 20%Answer:
20%
Step-by-step explanation:
The volume formula is V = 30t + 150 → where 150 is y-intersect and the slope is 30 gals per hour
So you can do:
30 gals of increase on top of the 150 gals to get:
30/150×100% which equals 20%
:)
12) Abhasra invests $5,323 in a savings
account with a fixed annual interest rate of
9% compounded continuously. What will
the account balance be after 5 years?
Answer:
$7,7748.35
Step-by-step explanation:
$5,323$7748.35 + $2,395.35(INTEREST)
How many solutions does the equation 2(9x−6)=18x+2 have?
A.Infinitely many
B.No solution
C.Number of solutions cannot be determined
D.One solution
Answer:
no solution
Step-by-step explanation:
first you have expand the equation and so you will get
18x-12=18x+2
after you cancel 18x on both sides and so you will get
-12=2
and since that equation is false you will get
no solution
A science fair poster is a rectangle 4 feet long and 3 feet wide. What is the area of the poster in square inches?
Be sure to include the correct unit in your answer.
in
in?
in?
G
Х
?
40 POINTS Geometry homework
[tex]\angle{DBC }[/tex]=(5x+4)°
[tex]\angle{ A }[/tex]=(2x-2)°
[tex]\angle{C }[/tex]=(4x-6)°
we know that,
[tex]\angle{DBC}[/tex]=[tex]\angle{A}[/tex]+[tex]\angle{C}[/tex]
According to the question,
[tex]\tt{ 5x+4=2x-2+4x-6 }[/tex]
[tex]\tt{ 5x+4=6x-8 }[/tex]
[tex]\tt{ 6x-5x=4+8 }[/tex]
[tex]\blue{x=12 }[/tex]
so,
[tex]\angle{C }[/tex]=(4x-6)°=(4×12-6)°=(48-6)°=42°
write the fraction of 7/14in it's simple form
Answer:
1/2
Step-by-step explanation:
Divide both parts by 7
1/2
Hope this helps :)