Gwen bought a total of 35 pieces of licorice. She bought 4 times as many red pieces as she did black pieces.
a. Write a system of equations that represents the number of pieces of each kind of licorice that Gwen bought.
b. Solve the system by substitution
c. Interpret the solution
Step-by-step explanation:
The total no of pieces is 35. Let Gwen has B black pieces and R red pieces.
(a) She bought 4 times as many red pieces as she did black pieces. It means,
Red pieces = 4B
Equations that represents the number of pieces of each kind of licorice that Gwen bought are :
R + B = 35 ....(1)
and
R = 4B ....(2)
((b) Put equation (2) in equation (1)
4B + B = 35
5B = 35
B = 7
Put the value of B in equation (2)
R = 4(7) = 28
(c) There are 7 black and 28 red pieces of licorice.
Anyone want to help me with this? I will mark brainliest and thanks
Answer:
x = -8
m∠BDC = 68°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
Definition of a Line: A line is 180°Step-by-step explanation:
Step 1: Set up Equation
m∠BDC + m∠CDA = 180°
(-7x + 12)° + (-8x + 48)° = 180°
Step 2: Solve for x
Combine like terms: -15x + 60 = 180Isolate x term: -15x = 120Isolate x: x = -8Step 3: Find m∠BDC
Define: m∠BDC = (-7x + 12)°Substitute in x: m∠BDC = (-7(-8) + 12)°Multiply: m∠BDC = (56 + 12)°Add: m∠BDC = 68°10 POINTS NEED HELP ASAP
Answer:
I believe it is D
Step-by-step explanation:
Hope this helps!
Jonathan opened a savings account with $5500 and made no further
deposits. If the account pays3.5% simple interest, how long will it take until
the value of his account reaches $6655? *
a. 3.5 years
b. 6 years
c. 5.54 years
d. 6.5 years
It takes 6 years to reach $6655.
What is Simple interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.
The formula written out is "Simple Interest = Principal x Interest Rate x Time."
Given:
Amount= 6655
Principal = 5500
Interest rate= 3.5%
So, Amount= P( 1 +rt)
6655 = 5500 (1 + 0.035t)
6655/5500 = 1 +0.035t
1.21 - 1= 0.035t
0.21 / 0.035 = t
t= 6 years
Hence, it takes 6 years to reach $6655.
Learn more about Simple Interest here:
https://brainly.com/question/25845758
#SPJ6
100 POINTS
Find the slope of the line passing through the points , −7−7 and , −36
i will make branlyst.
Answer:
The equation y = -0.24137931034483x – 8.6896551724138, assuming you meant (-36,0).
Step-by-step explanation:
Evaluate the following:
14) 49-4( 32+116 ) 15) 72+72
16) 3278 +25
Answer:
14) -123
15) 144
16) 3303
Step-by-step explanation:
board sum (-4)+1=x+(-4)
x=1
i gues dont know
hav nice day✌
omg pls help its proving the sum of the interior angle measures of a triangle is 180
Answer:
60
Step-by-step explanation:
all angles in a triangle measures 180°
first to answer gets brainlest <33
Giving brainliest for whoever answer this correctly 10 points!!!
Answer:
A. 0
Step-by-step explanation:
(Timed) Solve the system of equations work shown
Substitution Method
For x:
[tex]y = \frac{5}{4}x - 2\\y = -\frac{1}{4}x + 19\\\\\frac{5}{4}x - 2 = -\frac{1}{4}x + 19\\\\\frac{3}{2}x - 2 = 19\\\\\frac{3}{2}x = 21\\\\x = 14[/tex]
For y:
[tex]y = \frac{5}{4}(14) - 2\\\\y = 17.5 - 2\\\\y = 15.5[/tex]
Solution:
[tex](14, 15.5)[/tex]
Graphing Method
According to this graph, the solution will be [tex](14, 15.5)[/tex].
At the beginning of the month, Arnold’s bank account balance was $217.25. During the month he made deposits of $49.58 and $105.75 and a withdrawal of $25.45. What was Arnold’s bank balance at the end of the month?
Mike and Thomas were making Lego towers. Mike stacked 249 Legos for his tower. Thomas had stacked twice as much as Mike. How many Legos did Thomas use for his tower? Write you answer in a complete sentence.
Answer:
498
Step-by-step explanation:
So,if mike stacked 249 legos and thomas did twice as much that means x2 so if you do 249 x2 you get 498.
Select the correct answer.
Janet sells custom artwork online. Her business profits for the month of August are shown in the table.
Week Profit
week 1 $56.92
week 2 -$16.54
week 3 $45.58
week 4 -$21.74
How much more profit did Janet make in week 2 than in week 4?
A.
-$38.28
B.
-$5.20
C.
$5.20
D.
$38.28
E.
$40.25
Answer:
B. -5.20.
Step-by-step explanation:
We can see that Janet made more in week 4 then in week 2, so that means the answer will have to be a negative. To find the exact answer, we take away 21.74 from 16.54. This gets us -5.2, which is equivalent to -$5.20. I hope this helps!
Jin's mother estimates there is a half-gallon of fruit punch remaining in the container. There are actually 72 ounces of fruit punch in the container. Find the percent error of Jin's mother's estimate. Round the percent to the nearest tenth if necessary HELP DUE IN 10 MINUTES
Answer:
89%
Step-by-step explanation:
the real answer is 64 fluid ounces
64/72*100 which is 88.89% or 89%
Hope this helps plz hit the crown :D
The percent error of Jinn's mother's estimate is 11.12%.
What is Percentage Error?The degree to which a measured or calculated value is closest to its true value is measured by its accuracy. The error percentage is calculated by multiplying the error to real value by 100. The repeatability of a set of measurements is gauged by the precision of each measurement.
Given that Jinn's mother estimates there is a half-gallon of fruit punch remaining in the container. Therefore, the estimated amount can be written as,
Estimated amount = 0.5 gallons = 0.5 × (128 ounces) = 64 ounces
It is also given that there are actually 72 ounces of fruit punch in the container. Therefore, the percent error of Jin's mother's estimate is
Percentage Error = [ |Estimated value - Real Value| ) /Real Value] × 100%
= [( |64 ouches - 72 ounces| )/72 ounces] × 100%
= [(8 ounces)/72 ounces] × 100%
= 0.11111 × 100%
= 11.12%
Hence, the percent error of Jinn's mother's estimate is 11.12%.
Learn more about the Percentage Error here:
https://brainly.com/question/28746643
#SPJ5
what is the slope of the line?
Answer:
No Solution
Step-by-step explanation:
Slope is rise/run
rise = 1
run = 0
you can't divide by 0 so no solution
Answer:
The slope of the line is undefined.
Step-by-step explanation:
The slope of a line is given by [tex](y_2-y_1)/(x_2-x_1)[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points on the line. Since this is a vertical line, [tex]x_2-x_1[/tex] will, however, be equal to zero. We cannot divide by zero, so the slope of the line is not defined.
plllllzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz helppppppp
Answer:
Its C
Step-by-step explanation:
All you have to do is divide 90.2 by 11
Answer:
c
Step-by-step explanation:
What is the measure of
Answer:
The answer is 60.
Determine the slope of the line that contains the given points.
T(5, 6), V(8, 8)
a.
0
b.
c.
d.
Answer:
slope = 2/3
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
What is the value of 10(4-7)/-(4-1)?
0-10
O 6
O 6
O 10
Answer:
10
Step-by-step explanation:
hey hello, please help
Answer:
2/10 3/10 4/10 5/10 6/10
Step-by-step explanation:
add one each time or go up every number.
FERRIS WHEEL Suppose a Ferris wheel is 160 feet high and casts a shadow that is 64 feet long. At the same time, a ticket booth next to the Ferris wheel casts a shadow that is 2.8 feet long. What is the height of the ticket booth?
Answer:
7 feet
Step-by-step explanation:
Suppose a Ferris wheel is 160 feet high and casts a shadow that is 64 feet long. At the same time, a ticket booth next to the Ferris wheel casts a shadow that is 2.8 feet long. What is the height of the ticket booth?
We solve this question
Length of shadow/Height
Ferris wheel = Ticket booth
64 feet/160 feet = 2.8 feet/x
Cross Multiply
64x = 160 × 2.8
x = 160 × 2.8/64
x = 7 feet
The height of the ticket booth is 7 feet
Use the order of operations to evaluate: −7.6 − 2[9 + (−6.8)] First, simplify the parentheses: [9 + (−6.8)] = 2.2. Now the expression is: −7.6 − 2(2.2). Since there are no exponents in this problem, the next step is ✔ (- 2)2.2 . Simplify the previous step and you get ✔ -7.6 – 4.4 . The final answer is
Answer:
-12.0
Step-by-step explanation:
From the above question, we are given:
−7.6 − 2[9 + (−6.8)]
We apple the PEDMAS rule
P = Parentheses, Hence:
Step 1
The first step is to simplify the parentheses
[9 + (−6.8)] = 2.2.
Step 2
We now have:
−7.6 − 2(2.2).
Step 3
We simplify Parentheses again
(- 2)2.2 = -4.4
Step 4
We simplify
-7.6 - 4.4
= -12.0
The final answer is 12.0
have a nice day, good luck
Find the distance between (-2.8) and (11, 2). Round to the nearest hundredth 14.32 13.58 12.58 13.04 None of the other answers are correct
Answer:
14.32
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-2, 8)
Point (11, 2)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute [DF]: [tex]d = \sqrt{(11+2)^2+(2-8)^2}[/tex]Add/Subtract: [tex]d = \sqrt{(13)^2+(-6)^2}[/tex]Exponents: [tex]d = \sqrt{169+36}[/tex]Add: [tex]d = \sqrt{205}[/tex]Evaluate: [tex]d = 14.3178[/tex]Round: [tex]d \approx 14.32[/tex]simplify the expression (x to the 12 power) to the 3 power
Answer:
Step-by-step explanation:
To simplify this, I can think in terms of what those exponents mean. "To the third" means "multiplying three copies" and "to the fourth" means "multiplying four copies". Using this fact, I can "expand" the two factors, and then work backwards to the simplified form. First, I expand:
(x3)(x4) = (xxx)(xxxx)
Now I can remove the parentheses and put all the factors together:
(xxx)(xxxx) = xxxxxxx
Advertisement
This is seven copies of the variable. "Multiplying seven copies" means "to the seventh power", so this can be restated as:
xxxxxxx = x7
Kym switched cell phone plans. She signed up for a new plan that will save her $3.50 per month compared to her old cell phone plan. The cost of the new phone plan for an entire year is $294. How much did Kym pay per month under her old phone plan?
also merry early Christmas
Answer:
Hi there,
$294 per year = $24.50 per month
Kim paid $24.50 + $3.50 = $28 per
month with her old phone plan.
Hope this helps :-)
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot. y=-16x^2+227x+109
Answer: y=914.1 feet max height
Step-by-step explanation:
Plz, Help me with this question.
Answer:
the answer is 9
Step-by-step explanation: you subtract the two and get ur answer
Sorry I didn't know what subject to put this in but Please help I really do need it u don't have to tho
Which fitness test measures the strength and flexibility of the lower back?
A.
Walk/Run test
B.
Curl ups
C.
Sit and Reach
D.
Trunk Lift
Answer:
Curl ups
Step-by-step explanation:
I'm not 100% sure, but it seems like the most logical answer to me.
Answer:
Trunk Lift
Step-by-step explanation:
4. Anthony makes candies.
First, he mixes 1 cup of cream with 2 cups of chocolate.
In all, he uses 9 cups of these two ingredients.
How many cups of chocolate does he use in this candy recipe?
Explain.
Answer:
6
Step-by-step explanation:
There is 1 cup of cream for every 2 cups of chocolate. That means there are 3 cups of cream and 6 cups of chocolate. Each cup of cream = 2 cups of chocolate, so you would do 3*2 which equals 6
6 + 3 = 9