Step-by-step explanation:
m= (4-0)/(2-1)
=4
y-int=1
y=mx+c
y=4x+1
An electronics store sells DVD players and cordless telephone. The store makes a $75 profit on the sale of each DVD player (d) and a $30 profit on the sale of each cordless telephone (c). The store wants to make a profit of a least $255.00 from its sales of DVD players and cordless phones. Write an inequality to model this situation.
Find an example to show how this situation could happen and one example showing how it could NOT happen. Make sure to justify your answer.
75d + 30c ≥ 255
Examples(1) If someone bought five DVD players and ten cordless telephones, the equation ((75)(5)+(30)(10)≥255) would be true.
(2) If the electronic store had a parcticularly bad day and they sold two DVD players and one cordless telephone, the equation ((75)(2)+(30)(1)≥255) would be false.
Lo ran 6 ¼ miles Thelma ran 1 2/3 miles.
How many times further did Lo run than Thelma?
Answer: 7 1/2 miles mire
Step-by-step explanation:
A plane can fly 360 mph in still air. If it can fly 210 miles downwind in the same amount of time it can fly 150 miles upwind, find the velocity of the wind. mph
Answer:
55 mph
Step-by-step explanation:
Assuming that
v = velocity of the plane in still air,
w = velocity of the wind.
We are given that v = 360 mi/hr.
Using the equation
x = vt
where
x is the distance an object travels
v is the speed of the object
t is the time taken
While the plane is flying downwind, the velocity becomes v + w. On the other hand, if it is flying upwind, the velocity becomes v - w.
For a particular time t = T, distance traveled x = 210 mi at downwind, and x = 150 mi at upwind.
Creating an equation from the two, we have
210 mi = (360 + w)T
150 mi = (360 - w)T
Solving for T, we have
T = 210/(360 + w)
T = 150/(360 - w)
And since T is the same in both cases, we say that
So, 210/(360 + w) = 150/(360 - w)
Or on rearranging,
(360 + w)/210 = (360 - w)/150
(360)(150) + 150w = (210)(360) - 210w
55800 + 150w = 75600 - 210w
360w = 19800
Therefore, the speed of the wind is 55 mile per hour
Gail collects trading cards. Her favorites are baseball and football cards. For
every 10 baseball cards she owns, Gail has 17 football cards. What is the
ratio of baseball cards to football cards in her collection?
O A. 17:10
B. 10 and 17
O c. 12
O D. 17 to 10
Step-by-step explanation:
its ratio so it has to be A
Please I need help thank you
Answer:
its 40
Step-by-step explanation:
You've already divided 320 and 8 and you get 40
/
Which statement is false?
A.
by SSS
B.
by SAS
C.
by SAS
D.
Answer:
sorry, i haven't understood your question!! how can i tell which statement is false.
Determine the domain of the function graphed above.
Answer:
Domain: (-∞, ∞)
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According the the graph, we see that our x-values are spanning forever in both directions. Therefore our domain is:
(-∞, ∞) or -∞ < x < ∞
Can a quadratic have one real and one non real root
Answer:
Yes, it is possible. We already know that complex roots exist in conjugate pair but the case is true only when the equation has real coefficients. But on the other hand, if the equation has complex coefficients, then it is possible to attain one real and one complex root.
simplify the following square root √ -1 =
Answer:
1 .
because sqare root of -1= 1
1. Sally decided to go early Christmas shopping at a local Wal-Mart. There was
a Black Friday sale and she bought a TV that was originally $200. The TV
was marked down 25%. How much did Sally pay after it was marked down?
(1 point)
T
Answer:
$175
Step-by-step explanation:
A triangle has vertices on a coordinate grid at P(-10,1)P(−10,1), Q(-10,-7)Q(−10,−7), and R(-5,-7).R(−5,−7). What is the length, in units, of \overline{PQ}
PQ
?
Answer:
Step-by-step explanation:
Given the following coordinates of a triangle
P(-10,1)
Q(-10,-7)
R(-5,-7)
Required
Length of PQ
PQ = √(y2-y1)²+(x2-x1)²
From the coordinate;
x1 = -10, y1 = 1, x2 = -10 y2 = -7
Substitute
PQ = √(-7-1)²+(-10-(-10))²
PQ = √(-8)²+0²
PQ = √64
PQ = 8units
Hence the length of PQ in units is 8units
x^2+8x=0
what is the sum of the solutions? please help me!!
Answer:
Step-by-step explanation:
0
,
8
Please help out with this worksheet please i would appreciate it
Answer:
1. slope: (y2-y1)/(x2-x1)
(6,38), (9,32)
(32-38)/(9-6) = -6/3 = -2
38 = -2(6) + b
38 = -12 +b, b = 50
y = -2x + 50
2a. Slope = -80, the slope means how many cars left per hour after closing. Y- intercept = 600, cars in lot during closing.
2b. use the equation: y = -80x + 600
Plug in 3 into the equation
y = -80(3) + 600, y = -240 + 600, y = 360 cars
2c. For it to have 0 cars, plug in 0 for y
0 = -80x + 600
-600 = -80x, solve for x
x = 7.5 hours
1. Alison has 3 skirts, 2 shirts, and 2 pairs of shoes. How many different combinations of
skirt, shirt, and shoes can she choose?
Answer:
12
Step-by-step explanation:
3x2x2 or make a tree diagram
If a bug can flap its wings at a rate of 77 times in 9 seconds, how many times do they flap their wings in 1.119 minutes? Round to 1 decimal.
P and q are integers that are multiple of 5. Which of this
not true about p and q
(a) P + q is divisible by 5
(b) P –q is divisible by 10
(c) P + q is divisible by 20
(d) P + q is divisible by 25
Answer:
we conclude that the only option (a) is true.
Step-by-step explanation:
As we know that the multiples of 5 are the numbers which we get when we multiply by 5.
i.e.
5×1=5
5×2=10
Here, 5 and 10 are multiples of 5.
Let p and q are integers that are multiples of 5.
Let us consider
p=5
q=10
so
p+q=5+10
= 15
A number is divisible by 5 if it ends in 5 or 0.
i.e. 15/5 = 3
so p+q is divisible by 3 as there is no remainder left.
Therefore, option (a) is true.
Checking the other options:
(b) P –q is divisible by 10
As
p=5
q=10
so
p-q=5-10
= -5
Numbers that are divisible by 10 need to be even or divisible by 2 and divisible by 5.
As -5 is not divisible by 2.
So, option b is NOT true.
(c) P +q is divisible by 20
As
p=5
q=10
so
p-q=5+10
= 15
Divisibility rule of 20 implies that the last two digits of the number are either 00 or divisible by 20 .
Therefore, P + q= 20 is not divisible by 20 as we don't get the whole number.
(d) P + q is divisible by 25
As
p=5
q=10
so
p-q=5+10
= 15
p+q=15 is not divisible by 25 as it does not end with 00, 25, 50, or 75.
so, option d is NOT correct.
Therefore, we conclude that the only option (a) is true.
whats inequalities ?
Answer:
An equation looks something like this: 4x2=8
In an equation each value on the opposite side of the equal sign is equal unless its unsolved and u need to solve it.
In an inequality, a <, >, ≥ or ≤ separates 2 values that are unequal. < is a less than sign, > is a greater than sign and so on and so forth. An inequality gives all possible answers for an equation. For example 3x+2≤ 8 is showing us that 3x+2 is any value below or equal to 8. ≤ is a less than OR equal too sign.
in the equation 4x-5≤15 the inequality is showing us that 4x-5 is every possible value below or equal to 20. So an answer could be 19, 18, -5, 7 and basically every number below or equal to 20.
Step-by-step explanation:
what is the equation of the line in slop-intercept form HELPP PLZZZZZZZZZZ
Answer:
y = 3/5x + 3
Step-by-step explanation:
(y2-y1)/(x2-x1) = slope
pick 2 points (0,3) and (-5,0)
(0-3)/(-5-0) = -3/-5 = 3/5
y = 3/5x + b
3 = 3/5(0) + b, b = 3
equation y = 3/5x + 3
-3x + 10y = 11
-8x + 2y = -20
Answer:
(3, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
-3x + 10y = 11
-8x + 2y = -20
Step 2: Rewrite systems
-8x + 2y = -20
Add 8x to both sides: 2y = 8x - 20Divide 2 on both sides: y = 4x - 10Step 3: Redefine systems
-3x + 10y = 11
y = 4x - 10
Step 4: Solve for x
Substitution
Substitute in y: -3x + 10(4x - 10) = 11Distribute 10: -3x + 40x - 100 = 11Combine like terms: 37x - 100 = 11Add 100 to both sides: 37x = 111Divide 37 on both sides: x = 3Step 5: Solve for y
Define original equation: -3x + 10y = 11Substitute in x: -3(3) + 10y = 11Multiply: -9 + 10y = 11Add 9 to both sides: 10y = 20Divide 10 on both sides: y = 2Step 6: Graph system
Check the system.
A square has a side length 9 cm. What is its area? A square has an area of 9 cm2. What is its side length?
Answer:
Area = 81; Side Length = 3
Step-by-step explanation:
The area of a square is the side lenght squared, and 9² is 81.
The side lengh can be found by taking the square root of the area. √9 = 3
What is the quotient of
3/4 and 1/5
Answer:
3.75
Step-by-step explanation:
PLEASE PLEASE HELP ME
Answer:
Is the line going through negative dot or positive? Think about it.
Step-by-step explanation:
Anyway my teacher came into me anyway its a positive answer. so A or B
4.
It takes a lady 3 days to wash the windows
inside and out. Her husband can do the job
in 4 days. How fast can they do it together?
How do you find the length of the side of a parallelogram?
A. slope formula
B. Midpoint formula
c.distance formula
9514 1404 393
Answer:
C. distance formula
Step-by-step explanation:
If you're starting from vertex coordinates, the distance formula is appropriate for finding the length of one side of a parallelogram. It will tell you the distance between two points:
d = √((x2-x1)² +(y2-y1)²)
Seema deposited $800 in a saving account earning 2.88% compounded annually. To the nearest cent, how much will she have in 16 years? Do not include the dollar sign in your answer.
Answer:
1260.04
Step-by-step explanation:
The formula for compound interest is:
A = P(1+[tex]\frac{r}{n}[/tex][tex])^{nt}[/tex] where A is the final amount, P is the initial principal balance, r is the interest rate, n is the number of times interest applied per time period and t is the number of time periods elapsed. Since the deposit was compounded annually, just like the interest, we can omit the n in the equation.
Applying the formula to question:
800(1+[tex]\frac{2.88}{100}[/tex][tex])^{16}[/tex] = 1260.04 (rounded off to nearest cent since it's money)
In a certain company a salesman is paid a fixed salary for $3140 per month plus an annual commision of 2% on the TOTAL value of cars sold for the year. If the salesman sold cars valued at $720000 in 2009 calculate:
(i) his fixed salary for the year
(ii) the amount he recieved in commision for the year
(iii) his TOTAL income for the year
Step-by-step explanation:
(i) 12 months × fixed salary
= 12 × 3140
= 37680 $
(ii) commission = total × 2%
= 720000 × 0.02
= 14400 $
(iii) fixed salary + commission
= 37680 + 14400 = 52080 $
Express the ratio below in its simplest form. 3 : 3 1 /2
Answer:
1/3÷1/2
1/3×2 (reciprocal on dividing)
=2/3
plzz give brainiestAnswer: answer is 2/3
Step-by-step explanation:
a coin is tossed 4 times, find the probability of getting 4 heads.
Answer:
1/16
Step-by-step explanation:
The probability of getting heads with 1 coin toss is 1/2.
For 4 tosses, the probability is 1/2 * 1/2 * 1/2 * 1/2 = 1/16
A line contains the points A, B, C, and D. Point B is
between points A and C. Point D is between points C
and B. Which of the following inequalities must be true
about the lengths of these segments?
F. BC < AB
G. BD < AB
H. BD < CD
J. CD < AB
K. CD
Answer:
a
Step-by-step explanation:
aa
3. You receive an order for 0.5 g of Tigan IM. You have a 5 mL vial labeled 100 mg/mL. What is the
volume you will need to fill the order?
a. 2 mL
c. 0.5 mL
b. 5 mL
d. 0.02 mL
Answer:
52
Step-by-step explanation: