Answers
Answer: Choice C
x+y = 28
3x+4y = 100
===================================================
Explanation:
x and y are placeholders for nonnegative whole numbers.
Specifically,
x = number of three point questions
y = number of four point questions
Since we have 28 questions total, this must mean x+y = 28. That forms the first equation in our system of equations.
------------
Now let's form the second equation:
x = number of three point questions
3x = points we get from all the three point questions
y = number of four point questions
4y = points we get from all the four point questions
3x+4y = all points possible
3x+4y = 100 is the second equation
------------
So we have this system
[tex]\begin{cases}x+y = 28\\3x+4y = 100\end{cases}[/tex]
which fits the conditions in the instructions.
Related Questions
The graph shows the proportions of red and blue food coloring that Taylor mixes to make the purple frosting. What is the slope of the line? Tell what it means in the problem situation. The graph is ( 50, 70 ) ( 25, 35 )
Answers
Answer:
The slope is 7/5
Step-by-step explanation:
Here, we want to find the slope of the line
We use the slope equation
m = (y2-y1)/(x2-x1)
m = (35-70)/(25-50) = -35/-25 = 7/5
what it means is that the rate of change of the number of red drops to number of blue drops to form the purple color is in the ratio of 7 to 5
Or simply put
To form a purple color, add 7 part red to 5 parts blue drops
Write the ratio as a fraction in simplest form.
14 feet to 8 yards
Answers
Answer:
1 inch-8 lot of math make me brainliest
Step-by-step explanation:
3ft-8yd
or 36 in- 288in
18-144
9-72
3-24
Find the difference.
60°
30°
40"
50"
40
Answers
What is the y-intercept when a line has a slope of 1/2 and passes
through the point (2, -1)?
Answers
Answer:
2
Step-by-step explanation:
You called this question to the right person. To find the y-intercept, you must do the formula of Point Slope (y-y1 = m (x-x1)) Since 2, is x1 and the -1 is y1, we must lay the equation out like this: y - -1 = m (x-2). Next, we must distribute the slope to the x and the 2, which would allow the x, to fit in with the slope, and the 2 to become 1 since 1/2 x 2 is 1. Now what we need to do is get rid of the -1, so what we do here is add 1. And algebra golden rule, whatever you do to one side, you must do to the other side. This would leave y = 1/2x + 2 And therefore 2 is your y-intercept, since it's at the last part of the equation.
a= 1/2bh
b= 12in
a= 54^2in
Answers
Answer:
h=9
Step-by-step explanation:
54=1/2(12)h
54=6h
9=h
IMPORTANT!!!
Combine Like Terms. 2 + 3
a. 8x
b. 16x
c. 5x
5. Combine Like Terms. 9 + 4 + 4
a. 13x+4
b. 93x+2
c. 12x+4
Answers
Need Help with this!
Answers
Answer: it's about 46.6% for the first card the second card depends on the first card if the first card is even the likelihood of the second being even is 40%, if the first card is odd then the likelihood of the second card being odd too be about 46,6%
Edward deposited $6,500 into a savings account 4 years ago. The simple interest rate is 5%. How
much money did Edward earn in interest?
Substitute the values into the equation.
Interest=$• • years
Edward earned $ in interest.
Answers
Answer:
Edward earned $1300 interest in 4 years.
Step-by-step explanation:
Principal Amount = Initial Investment = $6500
Time t = 4 years
Interest rate r = 5% = 0.05 (it is taken in decimal i.e 5/100 = 0.05)
We need to find interest.
The formula used is: [tex]Interest= Principal\times r \times t[/tex]
Putting values and finding Interest
[tex]Interest= Principal\times r \times t\\Interest=6500\times 0.05 \times 4\\Interest= 1300[/tex]
So, the interest = $1300 in 4 years.
Edward earned $1300 interest in 4 years.
Solve 7x + 2 =4x+11 please i have 100 points to offer
Answers
Answer:
x=3
Step-by-step explanation:
7x+2=4x+11 ---> subtract 2 to the other side and subtract 4x to the other side
7x-4x=11-2 ---> combine like terms
3x=9 ---> divide by 3
x=3
Answer:
x = 3
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
7x + 2 = 4x + 11
Step 2: Solve for x
Subtract 4x on both sides: 3x + 2 = 11Subtract 2 on both sides: 3x = 9Divide 3 on both sides: x = 3Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 7(3) + 2 = 4(3) + 11Multiply: 21 + 2 = 12 + 11Add: 23 = 23Here we see that 23 does indeed equal 23.
∴ x = 3 is the solution to the equation.
I am doing a percent equation problem and I need help please here’s the question 20% of blank =10
Answers
Answer:
[tex]50[/tex]
Step-by-step explanation:
Let [tex]x =[/tex] blank (for convenience)
[tex]20\%x=10[/tex]
[tex]0.2x=10[/tex] (change [tex]20\%[/tex] into its decimal form)
[tex]x = 10\div 0.2[/tex] (divide [tex]0.2[/tex] on both sides)
[tex]x=50[/tex]
∴ Blank = 50
Hope this helps :)
1. Typing Which of these statements best interprets this
equation?
A) Typists increase their speed by 10.5 wpm for every
5.4 hours of training.
B) Typists increase their speed by 5.4 wpm for
every
10.6 hours of training.
C) A typist who trains for an additional hour will benefit
with a speed increase of 5.4 wpm.
D) On average, typists tend to increase their speed by
roughly 5.4 wpm for every hour of training.
Answers
Answer:
c
Step-by-step explanation:
also can i pls get brainlist pls pls
Calcium-41 is being used in studies testing the effectiveness of drugs for preventing osteoporosis. The half-life of calcium-41 is 100,000 years. If 20 grams of calcium-41 are present initially, how long would it take until only 2 grams
remains?
Answers
Answer:
332,193 years
Step-by-step explanation:
From the question above, we are to calculate the time in an half life question, hence, the formula is given as
t = In(Nt/No) ÷ -(In2/t½)
Where
t = time is takes for an substance to decay or reduce
Nt = Amount of sample after time = 2g
No = Initial amount of sample = 20g
t½ = Half life = 100,000 years
Hence,
t = In(2/20) ÷ (In 2/ 100,000)
t = 332192.80948874 years
Approximately = 332,193 years
Find a formula for the function f(x) such that f′(x)=sin(x) and f(2)=5.
Answers
Answer: f(x) = -cos(x) + 4.584
Step-by-step explanation:
we know that f'(x) = sin(x)
if we integrate that, we get:
f(x) = -cos(x) + C
Where C is a constant of integration.
And we also want that:
f(2) = 5
with that relationship we can find the value of C.
f(2) = 5 = -cos(2) + C
(The calculation is done in radians)
5 = -(-0.416) + C
5 - 0.416 = C = 4.584
Then the function is:
f(x) = -cos(x) + 4.584
In a collection of dimes and nickels, the number of dimes is five less than three times the number of nickels. The value of the collection is $5.80.Let D represent the number of dimes and N represent the number of nickels. You need to know how many of each type of coin there is. Make "LET" statements and write a system of equations to model this situation. Check your answers.
Answers
Answer:
D= 3N-5
0.10D+0.05N=5.80
Step-by-step explanation:
So, Let D represents the number of dimes
N represents the number of nickels.
For the given statement "The number of dimes is 5 less than 3 times the N"
So, we could set up equation as
D=3N-5
Now, for the statement "The value of collection is $5.80"
So, we can set up equation for this as (please remember 1 dime is same as $0.10 and 1 nickel is same as $0.05)
0.10D+0.05N=5.80
Kendra washes windows in an office building. She washes 25 2 5 of the windows on Monday. She washes 13 1 3 of the windows on Tuesday. What fraction of the windows remain for Kendra to wash?
Answers
I think you mean 2/5 and not 25 for Monday and 1/3 and not 13 on Tuesday. So i will solve with the fraction.
Answer: The fraction of the windows remaining for Kendra to wash=4/15
Step-by-step explanation:
Step 1
The fraction of windows washed on Monday = 2/5
The fraction of windows washed on Tuesday= 1/3
Fraction remaining to be washed = Total windows - Fraction already washed
Step 255
Fraction already washed=2/5 + 1/3 =6+ 5/15 = 11/15
The total numbers of windows in the office will be represented as 1 whole number since we are dealing with fractions such that the
Fraction remaining to be washed = 1- Fraction already washed
= 1- 11/15 = 15/15-11/15= 4/15
Answer:
Step-by-step explanation:
PLEASE HURRY!!!
Use the graph of the function to answer the question.
A line that passes through points (negative 4, 5), (negative 3, 3) and (negative 2, 1).
What is the output of the function when the input is −3?
Answers
HURRY WILL MARK YOU BRAINLIEST RIGHT ANSWER ONLY
Answers
Answer:
Answer is 10
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
you have to use a^2 + b^2 = c^2
so 12^2 + 16^2 = 144 + 256 = 400
square root of 400 is 20
whats -33 + -20 , show how you can describe it.”
Answers
Step-by-step explanation:
-33 + -20 is -53. and I don't how
I NED HELP lol
A store decreased the price of all its jeans by 20%. If Tara bought a pair of jeans for $50, what was the original price?
Group of answer choices
$40.00
$62.50
$70.00
$60.00
Answers
Answer:
the answer is 60 dollars.
====================================================
Work Shown:
x = original price
20% = 20/100 = 0.20
20% of x = 0.20x = discount
x - 0.20x = 0.80x = final price
0.80x = 50
x = 50/0.80
x = 62.50
The original price of the jeans was $62.50
---------------
Note how,
20% of x = 0.20*x = 0.20*62.50 = 12.50
Tara saves $12.50 (this is the discount).
The price she pays is x - 0.20x = 62.50 - 12.50 = 50 dollars, which matches with what your teacher gave in the instructions. This confirms we have the correct original price.
Which graph represents a nonlinear function?
Answers
Answer:
It's the second one :) I think?
Writing Linear Equations from Key Information slope = 3, y-intercept = −1
Answers
Answer:
y = 3x - 1
Step-by-step explanation:
The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C': BY C' 7 B 6 2 A 3= + 2 -7-6-5-4-3-2-1 Which of the following completes the rule for this translation, (x, y) = (x - 8, points) ? (4 O y-6 Oy-3 O y + 6 O'y+3
need help asap please
Answers
Answer: y+3
Step-by-step explanation: I'm taking the test rn
Answer:
y + 3
Step-by-step explanation:
I took the test and got it right.
Cual es la respuesta
Alguien que me ayude
Answers
Answer:
yes because it goes through the origin and has a constant rate is the correct answer hope it helps you :)
Determine the value of −14.1 × (-7.33)
Answers
Answer:
Multiply -14.1 by -7.33.103.353 ?
Step-by-step explanation:
Sorry I'm not very good at math hope this helps..
Identify the slope (m) and y-intercept (b) of each linear equation.
52. 3x+4y=24
Answers
Answer:
Step-by-step explanation:
[1] 3x - 4y = -24
[2] -x - 16y = -52
Graphic Representation of the Equations :
-4y + 3x = -24 -16y - x = -52
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -16y + 52
// Plug this in for variable x in equation [1]
[1] 3•(-16y+52) - 4y = -24
[1] - 52y = -180
// Solve equation [1] for the variable y
[1] 52y = 180
[1] y = 45/13
// By now we know this much :
x = -16y+52
y = 45/13
// Use the y value to solve for x
x = -16(45/13)+52 = -44/13
Solution :
{x,y} = {-44/13,45/13}
Determine if the point (5, 7) is on the line of
Equation 5x + 6y = 67
Answers
Answer: The point (5,7) is on the line 5x+6y = 67
=====================================================
Explanation:
(5,7) means x = 5 and y = 7 pair up
Plug in those values to get...
5x + 6y = 67
5*5 + 6*7 = 67
25 + 42 = 67
67 = 67
We get the same number on both sides after fully simplifying. This means the equation is true. A true equation in the last step means the first equation is true when (x,y) = (5,7).
Therefore, the point (5,7) is a solution and it is on the line 5x+6y = 67.
please help i’ll give brainliest
Answers
Answer: it's a (1,2)
Step-by-step explanation:
which one of the following things is NOT an example of velocity?
1. 3 miles per hour towards home
2. driving south at 80 miles per hour
3. riding a bicycle at 10 miles per hour
4. diving downward into a pool at 5 meters per second
Answers
Answer:
4
Step-by-step explanation:
3. Doesn’t have a direction so number 3 is not an example of velocity
5x-7=3 whats the answer
Answers
Answer:
x=2
Step-by-step explanation:
5x-7=3
Add 7 to each side
5x - 7+7 = 3+7
5x = 10
Divide each side by 5
5x/5 = 10/5
x = 2
Answer:
x = 2
Step-by-step explanation:
5x-7=3
Move the 7 from the left side. So you'll add it to both sides
5x-7(+7)=3(+7)
Making your formula
5x=10
Then divide 5x on both sides
Since 5x divided by itself is one it's just x
10 divided by 5 is 2
So the answer is x = 2
Which of the statements below is true for the following set of numbers?
42, 20, 36, 51, 60, 28
The range is 14 and the midrange is 35.
The
range is 60 and the midrange is 39.
The range is 40 and the midrange is 20.
The range and the midrange are equal.
Answers
Answer:
The range is 40 and the midrange is 20.
For the given number, the range is 40 and the midrange is 20. Option C is correct.
Given that,
42, 20, 36, 51, 60, 28,
Range, it is the set of values that come out to an outcome for a certain mathematical operation.
Here,
In the given series least number = 20
Largest number = 60
Range = 60 - 20 = 40
Midrange = 40 / 2 = 20
Thus, For the given number, the range is 40 and the midrange is 20. Option C is correct.
learn more about the range here:
https://brainly.com/question/12239390
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