Answer:
Step-by-step explanation:
Both the equations that you modelled are correct.
Use the substitution method to solve the system of equations
[tex]R+C = 526\\5R+4C=2327\\[/tex]
Take the first equation
[tex]R+C=526\\C=526-R[/tex]
Now this becomes our third equation and now insert it into our second equation
[tex]5R+4C=2327\\5R+4(526-R)=2327\\5R+2104-4R=2327\\R=2327-2104\\R=223[/tex]
Now insert R = 223 in any equation. Lets insert it into equation number three
[tex]C=526-R\\C=526-223\\C=303[/tex]
So 223 number of roll papers were sold and 303 number of candles were sold.
I have attached the graph below check it out.
Where both the equations of line intersect is our solution thus we can confirm that our answer is correct.
What is the solution of the equation (x - 5)2 + 3(x - 5) + 9 = 02 Use u substitution and the quadratic formula to solve
Answer:
Did you know one-quarter of all your bones are located in your feet?
Step-by-step explanation:
2/5x+4 =1/5x+8
I give up I hate math
Josh made $242 for 11 hours of work.
At the same rate, how much would he make for 7 hours of work?
Answer:
If 11hrs= $242
7hrs=7x242/100
154
Josh will made $154
Step-by-step explanation:
what's a Number line ?
a line on which numbers are marked at intervals, used to illustrate simple numerical operations.
Answer:
It is a line with points to represent numbers. It is used to model equations and can be used to determine greater or less than. It's a useful tool to use in math.
Step-by-step explanation:
the length of a rectangle is 4 meters less than twice its width. The area of the rectangle is 70. Find the dimensions of the rectangle
Answer: The width is 7 meters. The length is 10 meters.
Step-by-step explanation: Area = Length × width
Length is 2w - 4
Substitute that value for length, then solve for w.
70 = w(2w - 4)
70 = 2w² - 4w reorganize to quadratic equation form
2w² - 4w -70 = 0 These are All even numbers; factor out 2 (divide all by 2)
w² - 2w - 35 = 0 factor this
(w - 7)(w + 5) set each factor = 0 and calculate the value of w.
w+5=0 w= -5 (disregard this one because dimensions of real rectangles can't be negative)
w - 7 = 0 w = 7 The width is 7
Substitute into the original expressions to get the value of Length.
2(7) -4 = L 14 - 4 = L The Length is 10.
Check by substituting into the original equation:
w × 2w -4 = 70
7 × 2(7) -4 = 70
7 × 10 = 70 TRUE!
w
Dimensions of the rectangle are length=10 meter and width= 7 meter
What is Rectangle?A rectangle is a quadrilateral with four right angles.
Given,
The length of a rectangle is 4 meter less than twice its width
Consider,
l is the length of the rectangle
w is the width of the rectangle
l=2w-4
Area of the rectangle = Length × Width
70=l × w
Substitute the value of l is the second equation
70=(2w-4)×w
[tex]2w^{2} -4w=70\\2w^{2} -4w-70=0[/tex]
Take 2 outside
[tex]2(w^{2}-2w-35)=0\\ w^{2} -2w-35=0\\(w+5)(w-7)=0[/tex]
w=7,-5
Hence w wont be negative value
Therefore w=7 meter
Then,
l×w=70
[tex]l=\frac{70}{7}\\[/tex]
l=10 meter
Hence, the dimensions of the rectangle are length=10 meter and width= 7 meter
Learn more about rectangle here
https://brainly.com/question/16167300
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Rectangle FGHJ has coordinates F(-8, 6), G(8, 6), H(8,-6), and J(-8, -6). The rectangle is dilated by a scale factor of v with the origin as the center of dilation to form rectangle F'G'H'J'. Which ordered pair represents the coordinates of vertex H'?
Answer:
H'(8v,-6v)
Step-by-step explanation:
Here coordinate of H is (8,-6). We are dilating it using the rule (x,y)-->(kx,ky) where 'k' is scale factor.
For our problem , the dilation factor is "v"
So, image would be (8v,-6v)
At a movie theater, the price of 2 adult tickets and 4 child tickets is $48. The price of 5 adult tickets and 2 child tickets is $64. What is the ticket price for one adult and for one child?
Answer:
10$ for an adult and 7$ for a child
Step-by-step explanation:
price for an adult = a
price for a child = b
2a + 4b = 48.............(i)
5a + 2b = 64.............(ii)
make a subject of the formula in equation (i)
2a = 48 - 4b
divide through by 2
a = 24 - 2b
Insert the value of a in equation (ii)
5(24 - 2b) + 2b = 64
120 - 10b + 2b = 64
collect like terms
- 8b = 64 - 120
-8b = -56
divide both sides by -8
b = 7
insert the value of b in equation(i)
2a + 4(7) = 48
2a + 28 = 48
2a = 48 - 28
2a = 20
divide both sides by 2
a = 10
The price for one adult is $10 while the price for one child is $7
credit goes to vintechnology
hope that helped :)
Write an equation of the lime that passes through (3,7) and is parallel to the line shown
An equation of the parallel is y=□
Answer:
y=2x+1
Step-by-step explanation:
see graph
Plz help ASAP!!!!!!!!
Answer:
4 [tex]\sqrt5[/tex]
Step-by-step explanation:
Use Pythagorean theorem to get c^2 for the hypotenuse, which is equal to [tex]\sqrt80[/tex]. You then simplify to get the simplest radical form by [tex]\sqrt80[/tex] = [tex]\sqrt{8*10} = \sqrt{4*2*5*2} = \sqrt{16*5} = 4\sqrt{5}[/tex]
What is the equation in point-slope form of the line that passes through the point (4,-5) and has a slope of 2/3?
Answer: I believe the correct answer is the last one but I’m not entirely sure, wait for someone else to answer.
Step-by-step explanation:
Answer:
third one
Step-by-step explanation:
point-slope form is y - y1 = m(x - x1)
plug in values y -(-5) = 2/3(x - 4)
the double negative cancels out and becomes a positive
therefore y + 5 = 2/3(x - 4)
The Kellam Booster Club made $1,638 selling tickets to the football games this season. A child's ticket costs $3 and they sold 120 of them. An adult ticket costs $9. How many adult tickets did they sell?
Answer:
They sold 142 adult tickets.
Step-by-step explanation:
120x3=360
142x9=1278
1278+360=1638
What is the coefficient of the term 53xy ?
5xy
5/3
5
1/3
Answer:
It's 53, unless you entered the problem wrong then its 5/3
Step-by-step explanation:
Coefficents are the numbers attached to unknown variables
There are more than 3 gallons of gas in Berk’s car.
g > 3
A number line going from 2 to 5. An open circle is at 3. Everything to the left of the circle is shaded.
A number line going from 2 to 5. A closed circle is at 3. Everything to the right of the circle is shaded.
A number line going from 2 to 5. An open circle is at 3. Everything to the right of the circle is shaded.
Answer:
A number line going from 2 to 5. An open circle is at 3. Everything to the right of the circle is shaded.
Step-by-step explanation:
If it is < or > there will be an open circle
If it is ≤ or ≥ there will be a closed circle
On a number line the numbers get larger the more it goes to the right
Answer:
the answer is c
Step-by-step explanation:
the other guy is right he just made his answer really long.
PLEASE ANSWER THIS! NO ONE DID EARLIER! HELP ME!
Answer:
the 1st one
Step-by-step explanation:
pls help d ⋅ 24 = -12
d =?
Answer:
d = -0.5
Step-by-step explanation:
Original equation:
24d = -12
Divide both sides by 24
d = -0.5
Hope this helps :)
Please consider Brainliest :)
Answer:
-0.5
Step-by-step explanation:
-12/24=-0/5 and ur left with d
Amita's kitchen is rectangular with an area of 3 3 4 square meters. The width of the kitchen is 1 1 2 meters. What is the length, in meters, of Amita's kitchen?
Answer:
2 1/2 meters
Step-by-step explanation:
Amita's kitchen is rectangular with an area of 3 3 /4 square meters. The width of the kitchen is 1 1/ 2 meters. What is the length, in meters, of Amita's kitchen?
The formula for the area of a rectangle = Length × Width.
To find the length our formula becomes : Area/Width
In the question,
Area = 3 3/4 m²
Width = 1 1/2 m
Length of the rectangular kitchen
= 3 3/4 m² ÷ 1 1/2 m
= 15/4 m² ÷ 3/2 m
= 15/4 m² × 2/3 m
= 5/2 m
= 2 1/2 m
The length of the rectangular kitchen is 2 1/2 meters
Find the unit rate: 180 miles in 3 hours
Answer:
60/1 or 60
Step-by-step explanation:
Divide 180 by 3
60
So the unit rate is 60/1
Answer:
60 miles per hour
Step-by-step explanation:
The unit rate is the number of miles traveled per hour. To solve this divide the total miles traveled by number of hours, 180/3. The quotient is 60.
5. If your friend's doctor wants her target heart rate range to be between 143 and 170, and her
average resting heart rate is 62, what is her age? How did you backtrack through these equations
to find her age?
Fast please
Answer:
a person can work out 50% of the maximum (50% of 194 is 97) and 85% of the maximum (85% of 194 is 164.9). This means that the target heart rate for a 20-year-old is approximately 97–165 bpm. so around 21.
Step-by-step explanation:
Solve 10=5m/4
Im Confused, Please Help
Answer:
m = 8
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
10 = 5m/4
Step 2: Solve for m
Multiply 4 on both sides: 40 = 5mDivide 5 on both sides: 8 = mRewrite: m = 8Step 3: Check
Plug in m into the original equation to verify it's a solution.
Substitute in m: 10 = 5(8)/4Multiply: 10 = 40/4Divide: 10 = 10Here we see that 10 does indeed equal 10.
∴ m = 8 is the solution to the equation.
Pls answer I’ll give u 10 points
Answer: Yes because 2/7=3/6
Step-by-step explanation:
Answer:
de con es fueron des marchas
Nii saved more than Yaw. He saved 17 cedis more than Yaw
Answer:
thats great =)
Step-by-step explanation: can i pls have brainliest pls im on one more
Answer:
Step-by-step explanation:
uhh
a plane has fees for 420 passengers 15% of the seats are empty how many passengers are on the plane
Answer:
357 passengers
Step-by-step explanation:
[tex]\frac{x}{420}=\frac{85}{100}[/tex] (The [tex]\frac{85}{100}[/tex] is 85% of the 100% people because 15% is missing)
When you cross-simplify you get: [tex]\frac{x}{21}=\frac{85}{5}[/tex] which is [tex]\frac{x}{21}=17[/tex]
Finally, multiply 17 by 21 to get x.
Therefore, x=357
Robert earns $8.65 per hour mowing lawns. A) Write a rule for money m as a function of the number of hours h spent mowing lawns. B) How much does Robert earn if she works 3 hours and 25 minutes?
Answer:
A) [tex]m=8.65h[/tex]
B) $29.58
Step-by-step explanation:
Earnings per hour = $8.65
To find:
A) Write a rule for money m as a function of the number of hours h spent mowing lawns.
Earnings done in one hour = $8.65
Number of hours = [tex]h[/tex]
To find the total earnings, [tex]m[/tex] as a function of number of hours [tex]h[/tex], we need to multiply per hour earnings with number of hours [tex]h[/tex].
Therefore, the equation is:
[tex]m=8.65h[/tex]
B) How much does Robert earn if she works 3 hours and 25 minutes?
First of all, let us convert 3 hours and 25 minutes to hours.
3 hours 25 minutes = 3.42 hours
Therefore, total earnings are:
[tex]m = 8.65\times 3.42 = \$29.58[/tex]
The “war council” is a meeting that Dally has with the leaders of the Socs. What is the plan/agreement that results from Dally’s meeting with “the war council”?
Answer:
yes
Step-by-step explanation:
yes
whoever helps me on all gets a brainliest
Answer:
1. 4 feet
2. 8 quarts
3. 3 kilometers
4. 1.50 kilograms
5. 28 cups
6. 5 meters
7. 900 meters
Step-by-step explanation:
If you roll a numbered cube labelled 1 - 6 once, how likely is it that you would randomly roll a number less than 5
Answer:
4/36 (11.111%)
Step-by-step explanation:
The diameter of a red blood cell is about 0.0008 cm. the diameter of a chicken pox virus is about 1.7x10^-5 cm. what is the appropriate ratio of the diameter of the red blood cell to the diameter of the chicken pox virus?
A) 1.9x10^-2
B) 4.7x10^1
C) 4.7x10^2
D) 1.9x10^-3
ANSWER ASAP PLS
Answer:
Correct Choice: B) 4.7x10^1
Step-by-step explanation:
Scientific Notation
The diameter of a red blood cell is about 0.0008 cm. Expressing in scientific notation, the diameter is [tex]8\cdot 10^{-4} \ cm[/tex].
The diameter of a chickenpox virus is about [tex]1.7\cdot 10^{-5}\ cm[/tex]. It's already expressed in scientific notation.
The ratio of both measures is:
[tex]\displaystyle \frac{8\cdot 10^{-4} \ cm}{1.7\cdot 10^{-5}\ cm}[/tex]
Dividing the coefficients and subtracting the exponents:
[tex]\displaystyle 4.7\cdot 10^{1}[/tex]
Correct Choice: B) 4.7x10^1
3x - 3 = x -19
Solve for x
So what is the answer
Hey guys! I have some math questions I need help with! If your interested to help me please comment! Pls help me ASAP I don’t have time. You can put you snap or instagram user so I can DM you.
Answer: what is your question
Step-by-step explanation: Also for what subject
If 4 soap cakes cost Rs 50, find the cost of 3 dozen soap cakes.
50 divided by 4 is 12.5, so it is 12.5 for 1 soap cake, 12.5 x 36 is 45.0
The answer is 45.0
Mark Branliest!