The given equation is 125+37.52x=y, where y is the total amount of dollars and x is the number of weeks
This equation can be re-write as y=37.52x+125
Yes, this equation is in slope-intercept form y=mx+c having a slope, m=37.52 and the intercept, c=125.
Now, check the units,
In equation y=mx+c, units of all the three terms, i.e y, mx and c, are same.
As given that unit of y is dollar, so the unit of c is dollar and unit of [tex]mx[/tex] is also dollar.
As the unit of [tex]mx[/tex] is dollar, so the unit of m is dollar/unit of x.
As given that the unit of x is week, so the unit of m is dollar/week.
Therefore, the y-intercept, c= 125 dollars, and m=37.52 dollar/week.
The unit of the slope is dollars/week, so, the slope of the equation represents the rate of change of money in the wallet per week.
From the graph of the equation, y-intercept, c=125 dollars, is the value of y at x=0 which is the initial amount of money in the wallet.
The sales tax on a $750 computer at T&C Computers is $75. What is the sales tax rate? BTW
ANSWER IS 10%
Answer:
10%
Step-by-step explanation:
Price of computer = $750
Amount of sales tax = $75
Sales tax rate = Amount of sales tax / Price of computer × 100
= $75 / $750 × 100
= 0.1 × 100
= 10%
Sales tax rate = 10%
Sales tax rate = 10% of selling price
Number 17 please help?
Pls
Answer:
B
Step-by-step explanation:
For the function f(x)=3x-4 find f(2)
Hi there!
[tex]\large\boxed{f(2) = 2}[/tex]
Evaluate f(x) at x = 2 by substituting 2 for x:
f(x) = 3x - 4
f(2) = 3(2) - 4
f(2) = 6 - 4
f(2) = 2
NEED HELP ASAP!
The sum of two numbers is 105. The larger number is 6 less than twice the smaller
number. What are the numbers?
Answer: x=68, y=37
Step-by-step explanation:
The equation for the sum of two numbers is 105 would be x+y=105. You can say the larger number would be x and the smaller would be y. So, x=2y-6. then you plug that into the x in the first equation.
2y-6+y=105
3y-6=105
3y=111
y=37
Then you would plug in the y to one of the equations. I will do the second one but you can do either one.
x=2y-6
x=2*37-6
x=74-6
x=68
A person who is 2 m tall casts a shadow that is 5 m long. At the same time, a building casts a shadow that is
24 m long. How tall is the building? Please show me how u get the answer
Answer:
9.6
Step-by-step explanation:
First you figure out that the shadow is 2.5 times larger than what is casting it. Then you divide 24 by 2.5.
Solve this -7 3/5 + (-3 2/3)
A-10 1/2
B-11 4/15
C- 4 1/2
D-10 9/15
9514 1404 393
Answer:
B -11 4/15
Step-by-step explanation:
-7 3/5 -3 2/3 = -(7 3/5 +3 2/3)
= -((7 +3) +(3/5 +2/3)) = -(10 +9/15 +10/15)*
= -(10 +19/15) = -(10 +1 4/15)
= -11 4/15
___
* you know at this point that the correct answer is B. The integer part cannot be 10, but must be 11.
Solve for x
2(X-5) +6=7(X-1)-2 (x -6)
Answer:
x = - 3
Step-by-step explanation:
2x - 10 + 6 = 7x - 7 - 2x + 12
2x - 4 = 5x + 5
- 5 - 4 = 5x - 2x
-9 = 3x
x = - 9/3
x = - 3
Select the equation that shows a proportional relationship between x and y. Oy - 2x + 4 oys 5x O y = 3x - 5 OY-5.8
Given:
There exist a proportional relationship between x and y.
To find:
The equation which represents a proportional relationship between x and y.
Solution:
If there exist a proportional relationship between x and y, then
where, k is constant of proportionality.
We know that, proportional relationship passes through the origin because (0,0) satisfy .
For x=0, check which equation has y=0.
In option A, .
In option B, .
In option C, .
In option D,
Only in option C, we have a equation of the form with 4 as constant of proportionality and it passes through (0,0).
Therefore, the correct option is C.
Answer:
You can give China brainiest.
Step-by-step explanation:
SOMEONE HELP ME WITH GEOMETRY PLEASE!!!!
Find the coordinates of the orthocenter of the triangle with the given vertices.
A(−1, 2), B(9, 2), C(−1, −3)
Answer:
is there a picture or something?
Answer:
it's (-1,2)
Step-by-step explanation:
PLZ HELP ME PLZ I NEED IT
Answer:
Step-by-step explanation:
we see that when x = 0 the y = 7 so we already kno our y intercept is 7
then we can see that it decreases by 4 each time so our slope is -4x
now we just put that in equation form
y=-4x+7
hope this helps <3
i need help! i lost my notes
Answer:
sin A= 3/5
sin C= 4/5
cos A= 4/5
cos C= 3/5
Select all that apply.
CAN SOMEONE HELP ME ON THIS QUESTION ASAP IT IS DUE IN 10 MORE MINUTES
Answer:
90° degrees
Step-by-step explanation:
cause if you look closely inside the semi circle is a right angle and a right angle is 90°
To find the quotient 4 divided1/5 multiply 4 by
Answer:
5
Step-by-step explanation:
When dividing numbers by fractions, we can simply multiply the umber by the reciprocal of the decimal. So,
4 ÷ 1/5 = 4 × (reciprocal of 1/5)
A reciprocal of a number is the same number written under 1. aka, 1 divided by that number, which simply is flipping the numerator and denominator of a number.
So the reciprocal of 1/5 is 5/1 = 5.
So 4 ÷ 1/5 = 4 × 5.
So your answer is 5.
hope it was useful!
What is the value of n in the equation below 9n-24=4n+6
Answer:
6 (I believe so)
Step-by-step explanation:
9n-24=4n+6
9n=4n+30
5n=30
n=6
Answer:
n=6
Step-by-step explanation:
9n - 24 = 4n + 6
-4n -4n
5n - 24 = 6
+24 +24
5n = 30
divide both sides by 5
n = 6
hope this helps!!!
Billy is 5 2/3 feet tall. Maris is 4 11/12 feet tall. How much taller is billy
3/4 feet
You can set this up as an equation and solve
[tex]5\frac{2}{3}-4\frac{11}{12} =5\frac{8}{12} -4\frac{11}{12} =4\frac{20}{12} -4\frac{11}{12}=\frac{9}{12} =\frac{3}{4}[/tex]
Keep that Michelle went out To dinner. The total cost of the meal, including the tip, came out to $53.70. It's a combined tip came out to $9.60 and each friend spent an equal amount, how much did each friend pay not including the tip?
The question is incomplete:
Keith and Michelle went out to dinner. The total cost of the meal, including the tip, came to $53.70. If the combined tip came out to $9.60, and each friend spent an equal amount, how much did each friend pay not including the tip?
Answer:
Each friend paid $22.05 without including the tip.
Step-by-step explanation:
Since you know the total cost of the meal including the tip and the value of the combined tip, you can subtract the amount of the tip from the total cost and divide the result by 2 as they spent an equal amount:
$53.70-$9.60=$44.1
$44.1/2=$22.05
According to this, the answer is that each friend paid $22.05 without including the tip.
evaluate the expression
(7×18+45)÷3×2
please help
Answer:
28.5
Step-by-step explanation:
(7×18+45)÷3×2
7x8 = 126
3x2 =6
(126+45) / 6
126+45= 171
171 /6
171/6 = 28.5
Solve the given system by substitution.
Answer:
(-3, -15)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
n = 5m
n = 2/3m - 13
Step 2: Solve for m
Substitution
Substitute in n: 5m = 2/3m - 13Subtract 2/3m on both sides: 13/3m = -13Divide 11/3 on both sides: m = -3Step 3: Solve for n
Define equation: n = 5mSubstitute in m: n = 5(-3)Multiply: n = -15Answer:
Step-by-step explanation:
5m = 2/3m - 13
15m = 2m - 39
13m = -39
m = -3
n = 5(-3)
n = -15
(-3, -15)
if 14 of the 22 students in mrs herberts 2nd period class choose math as the favorite subject, what is the P(math)
Answer:
A(math)
Step-by-step explanation:
A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.Which best describes the complement of choosing a red marble?
choosing a green or blue marble
choosing any marble
choosing a blue, green, or yellow marble
choosing a yellow marble
Answer:
C) choosing a blue, green or yellow marble.
Step-by-step explanation:
The Complement of choosing a red marble means choosing any other marble that isn't red.
From the question , it was said that there were a blue , green, yellow and red marble.
So the Complement of choosing a red marble will be choosing any other marble apart from the red so ,that will be choosing a blue yellow or green marble.
Answer:
c
Step-by-step explanation:
The sides of a square field are 28 meters. A sprinkler in the center of the field sprays a circular area with a diameter that corresponds to a side of the field. How much of the field is not reached by the sprinkler? Round your answer to the nearest hundredth. Use 3.14 for π.
Answer:
168.24784 m²
Step-by-step explanation:
Area of the square:
28 x 28=784 sq. m.
Area of the circle:
π(r²)=π(14)²=196π
=615.75216
Area not covered by the sprinkler:
784-615.75216=168.24784 m²
Answer:
The sprinkler does not reach 168.56 m² of the field.
Step-by-step explanation:
Find the circular area sprayed by the sprinkler.
A = πr² Use the formula.
A = π(14)² Substitute. Use 14 for r.
A ≈ 3.14 × 14² Substitute. Use 3.14 for π.
A ≈ 3.14 × 196 Evaluate the power.
A ≈ 615.44 Multiply.
The area of the circular area is about 615.44 ft².
Find the area of the square field.
A = s² Use the formula.
A = 28² Substitute. Use 28 for s.
A = 784 Evaluate the power.
The area of the square field is 784 m².
Find how much of the field is not reached by the sprinkler. Subtract the circular area sprayed by the sprinkler from the area of the square field.
784 − 615.44 = 168.56
When solving an equation, Gabrielle’s first step is shown below. Which property justifies Gabrielle’s first step?
Original Equation:
-2-2x+4=5
First Step:
-2x-2+4=5
Determine the equations you would use to represent the situation.
You sold 27 tickets total. Some of the tickets were student tickets and the rest were adult tickers.
You collected $170 selling the tickets. If the student tickets cost $5 and the adult tickets cost $10.
how many student tickets did you sell?
Answer:
You sold 20 student tickets.
Step-by-step explanation:
Given that:
Total tickets sold = 27
Total amount collected = $170
Cost of student ticket = $5
Cost of adult ticket = $10
Let,
x be the number of students tickets sold
y be the number of adult tickets sold
x+y = 27 Eqn 1
5x+10y=170 Eqn 2
Multiplying Eqn 1 by 10
10(x+y=27)
10x+10y=270 Eqn 3
Subtracting Eqn 2 from Eqn 3
(10x+10y)-(5x+10y)=270-170
10x+10y-5x-10y=100
5x=100
Dividing both sides by 5
[tex]\frac{5x}{5}=\frac{100}{5}\\x=20[/tex]
Hence,
You sold 20 student tickets.
Describe why a negative times a negative equals a positive in your own words
Answer:
When you multiply a negative by a negative you get a positive, because the negative signs cancel each other.
What is the sum of
6x - 11y + 2x + 2y?
the answer need to be a formula of answer+answer
this is 15 points, so please help
Answer:
8x-9y
Step-by-step explanation:
6x+2x=8x, -11y+2y=9y
Hope this helps plz hit the crown :D
Which one is it pls help
Answer:
c
Step-by-step explanation:
Answer:
C. yes because BC/ST = AC/RT
Hope This Helps!
just fill out why it is 3
Answer:hi
Step-by-step explanation:hi
Because, in reverse it's basically asking what is 12 minus 5. So, 12 minus 5 is 3!
Hopefully, this helps! :D
Ask your question below.
An object launched straight puwar from the ground level wiht an initional velocity of 32 feet per second.The formula H=32T-16T^2 gives it heigtht,h,in feet after t second. At what time does the object hit the ground?
Answer:
2 secs after
Step-by-step explanation:
Given the height of the object modeled by the eqaution;
H(t) = 32T - 16T² where;
T is the time in seconds
The object hits the ground when h(t)= 0
Substitute H = 0 into the equation and get t as shown;
0 = 32T - 16T²
0-32T = -16T²
-32T = -16T²
32T = 16T²
32 = 16T
T = 32/16
T = 2secs
Hence the object hits the ground after 2 secs
Find the square root of the fraction 4/49.
A 2/7
B 7/2
C Cannot be done
Answer:
A
Step-by-step explanation:
2 times 2 = 4
7 times 7 = 49
2/7 = 4/49
Hope this helps!!!