Answer:$1,510
Step-by-step explanation:
-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.
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
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
A certain fish grows so that after t years of life its length is given by L(t) = 9 − 1/5t inches. Calculate the average rate of growth over the first year of life.
Answer:
Step-by-step explanation:
Given the length of a fish after t years modeled by the equation
L(t) = 9 − 1/5t
The average rate of growth is expressed as;
dL/dt = -1/5 (differential of a constant is zero)
Hence the average rate of growth over the first year of life is -1/5 in/year
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.
PLEASE HELP! MY BIG SISTER DOES NOT WANT TO HELP ME! AND MY MOM AND DAD IS AT WORK! :( I miss them please help me this
Answer:
The answer is the one in middle
Step-by-step explanation:
The answer should be 5/36 , not 25/6
find gcd of (510,92)
Answer:
The GCD of 510 and 92 is 2
Step-by-step explanation:
510 : 2 = 255
510 : 3 = 170
510 : 4 = 127.5
92 : 2 = 46
92 : 3 = 30.6667
92 : 4 = 23
hope this helps!
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
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.
Please I need help thank you
Answer:
its 40
Step-by-step explanation:
You've already divided 320 and 8 and you get 40
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
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
solve for K and b. please :)
Answer:
k=-98
b=-7
Step-by-step explanation:
can i have brianliest :)
A gym floor has a perimeter of 1,935 feet, what is the perimeter in yards? (PLEASE HELPPP!!!!! Is with time!!!!)
Answer:645yards
Step-by-step explanation: 1 foot is 0.33333333 and math also the Convert units tab in google
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
Mason Crosby kicked a career long 61 yard field goal. How many feet did the ball travel?
Answer:
fgqwefgwdgnbn8jhvdsihijhofwebhiwg7dyhdg h hy7rhbfwe r2eery
Step-by-step explanation:
sdheeht vuhudfvbujhnrsdgbkbhdpouibeihbrtuiovb esg7veg8sgxvuew hr 8b0uw e
simplify the following square root √ -1 =
Answer:
1 .
because sqare root of -1= 1
savannah is knitting a scarf for her mom's birthday. She can knit four rows per hour. what is the dependent variable
Answer:
The dependent variable is the hour.
consider the equation x-y=-1 ..calculate the value of y if x =1
Answer:
y = 2
Step-by-step explanation:
For the equation x - y = -1, if x = 1,
then we would plug that in to solve for the y value
1 - y = -1
Subtract 1 from both sides to find y
-y = - 2
Divide by -1 to find y
y = 2.
To double check our answer we would plug in our x-value and y-value into the equation
1 - 2 = -1
This is true, so our answer is y = 2
Answer:
y = 2
Step-by-step explanation:
x - y = -1
1 - y = -1
1 + 1 - y = 0
2 - y = 0
2 = y
y = 2
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:
heidi subtract 9 from 17. first she adds to get 10.then she added again to find her answer is heidi correct Heidi is not correct to add blank then you add blank more to get 10 to 17 the answer is
Answer:
Heidi wants to compute:
17 - 9.
First, she adds to get 10, (we want to subtract 10, this is easier than subtracting 9) then she can do:
17 - 9 + 0
adding zero does not change the sum
1 - 1 = 0
then:
17 - 9 + 0 = 17 - 9 + 1 - 1
Now we can do:
17 - 9 - 1 + 1
17 - (9 + 1) + 1
17 - 10 + 1
(17 - 10) + 1
7 + 1 = 8
Then, first she needs to add -1, in order to subtract 10, and then she must add 1. As we added a number and its inverse, in total we added zero, so the sum did not change, but was easier to compute.
Then, you need
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:
EDG. The universal set in this diagram is the set of integers from 1 to 15. Place the integers in the correct place in the Venn diagram.v (Not a question just an answer lol ;) )
Answer:
A=1,3,5,15
B=1,3,5,7,9,11,13,15
C=3,6,9,12,15
U=1,2,3,4,5,6,7,8,9,10,11,12,13,14,15
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?
A communications tower is supported by two wires, connected at the same point on the ground. One is attached to the tower at D and the long-on at C. The angle AD makes with the ground is 30 ° and the angle between the two wires is 10 °. How much below the top of the tower is the shorter one attached?
Answer:
10.99 m
Step-by-step explanation:
✍️What we are basically asked to solve here is to find the distance between C and D.
To find CD, find the length of BC, and BD. Their difference will give us CD.
Thus, BC - BD = CD.
✍️Finding BC using trigonometric ratio formula:
[tex] \theta = 30 + 10 = 40 [/tex]
Opposite side = BC = ??
Adjacent side = 42 m
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(40) = \frac{BC}{42} [/tex]
Multiply both sides by 42
[tex] tan(40) \times 42 = \frac{BC}{42} \times 42 [/tex]
[tex] 35.24 = BC [/tex]
BC = 35.24 m
✍️Finding BD using trigonometric ratio formula:
[tex] \theta = 30 [/tex]
Opposite side = BD = ??
Adjacent side = 42 m
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(30) = \frac{BD}{42} [/tex]
Multiply both sides by 42
[tex] tan(30) \times 42 = \frac{BD}{42} \times 42 [/tex]
[tex] 24.25 = BD [/tex]
BD = 24.25 m
✍️How much below the top of the tower is the shorter one attached:
Thus,
BC - BD = CD
35.24 m - 24.25 m = 10.99 m
if two dice are rolled one time, find the probability of getting a sum less than or equal to 4
Answer:
The probability of getting a sum less than or equal to 4 is 1/6.
Step-by-step explanation:
When two dices are rolled, the number of outcomes are: 6*6 = 36 which is written in ordered pairs consisting of outcome of both dices.
When two dices are rolled, the number of sample space elements is:
[tex]n(S) = 36[/tex]
Let A be the event that the sum of outcomes is less than or equal to 4:
[tex]A = \{(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)\}[/tex]
That implies
[tex]n(A) = 6[/tex]
The probability of getting sum less than or equal to 4 will be:
[tex]P(A) = \frac{n(A)}{n(S)} = \frac{6}{36} = \frac{1}{6}[/tex]
Hence,
The probability of getting a sum less than or equal to 4 is 1/6
The probability of getting a sum less than as well as equivalent to 4 will be "[tex]\frac{1}{6}[/tex]".
Probability:The probability that may be an outcome will happen together in random experiment. The greater the likelihood of such an occurrence, the further probable it will materialize.
Let,
The event that the sum less than as well as equivalent to 4 be "A".
According to the question,
Whenever the 2 dices are rolled, the no. of outcomes will be:
= 6 × 6
= 36
and,
The no. of sample elements will be:
n(S) = 36
Now,
A = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1)}
The probability be:
→ P(A) = [tex]\frac{n(A)}{n(S)}[/tex]
= [tex]\frac{6}{36}[/tex]
= [tex]\frac{1}{6}[/tex]
Thus the response above is correct.
Find out more information about probability here:
https://brainly.com/question/24756209
Wich expression uses the commutative property to make it easier to evaluate 3/5÷1/4÷25 A 3/5 ÷ 25 ÷1/4 B 25÷4÷3/5 C 5/3 ÷25 ÷1/4 D 3/5 ÷ 1/25 ÷1/4
Answer:
A
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
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