Answer:
x = -3
Step-by-step explanation:
Solve the system of linear equations by graphing
x=3 y= - 1/2.
1/2, 3
3,-1/2
-1/2,3
-3, -1/2
9514 1404 393
Answer:
(b) (x, y) = (3, -1/2)
Step-by-step explanation:
The point where the vertical line x=3 crosses the horizontal line y=-1/2 has coordinates (x, y) = (3, -1/2).
A boat travels 8 miles upstream in the same amount of time it can travel 12 miles downstream. In still water the speed of the boat is 5 mi/h. What is the speed of the current?
Answer:
1 mi/hr
Step-by-step explanation:
Given that:
Speed in still water, s = 5 mi/hr
Let speed of current = x
Time = distance /speed
Upstream (subtract speed of current) = 5 - x
Upstream time = 8 / 5 - x - - - (1)
Downstream (add speed of current) = 5 + x
Downstream time = 12 / 5 + x - - - (2)
Equate (1) and (2)
8 / (5 - x) = 12/ (5 + x)
8(5 + x) = 12(5-x)
40 + 8x = 60 - 12x
40 - 60 = - 12x - 8x
-20 = - 20x
x = 1
Spwed of current = 1 mi/hr
Luke, Kira and Ali each served 2/3 of their own cake. Each cake was the same size, but luke served 4 slices, Kira served 6 slices and Ali served 8 slices. How is this possible?
Answer:
The whole slices of the cakes of Luke, Kira and Ali are 6, 9 and 12 respectively. So it is possible.
Step-by-step explanation:
It's possible because they cut cakes into different number of slices.
You know that Luke, Kira and Ali each served [tex]\frac{2}{3}[/tex] of their own cake and Luke served 4 slices, Kira served 6 slices and Ali served 8 slices.
Being x the whole slices of cake, and if Luke served [tex]\frac{2}{3}[/tex] of his cake, which are 4 slices, the whole slices of cake of Luke is:
[tex]\frac{2}{3}*x=4 slices[/tex]
Solving:
x= 4 ÷[tex]\frac{2}{3}[/tex]
x= 6
Then, whole slices of Luke's cake is 6.
Performing the same approach for Kira you get:
[tex]\frac{2}{3}*x=6 slices[/tex]
x= 6 ÷[tex]\frac{2}{3}[/tex]
x= 9
Then, whole slices of Kira's cake is 9.
Finally, performing the same approach for Ali you get:
[tex]\frac{2}{3}*x=8 slices[/tex]
x= 8 ÷[tex]\frac{2}{3}[/tex]
x= 12
Then, whole slices of Ali's cake is 12.
The whole slices of the cakes of Luke, Kira and Ali are 6, 9 and 12 respectively. So it is possible.
The Marked Price of an article is 25% above the Selling Price and Cost price is 40% below Selling Price. Find the percentage of discount and profit.
Answer:
65% profit
-25% discount
Step-by-step explanation:
cost price = 40+25 = 65% higher than marked price
discount = -25%
A clothing store owner tracks the amount of money the last 10 customers spend in her store. The owner concludes that the typical amount spent by any customer is $28.80. The owner's conclusion
A) is valid. The last 10 customers only bought sale items.
B) is correct. This is the average amount spent by any customer.
C) is invalid. This is not a good representation of all customers.
D) is unfair. The last ten people in the store may have been tired.
Answer:D
Step-by-step explanation:
need help very fast pls
Answer:
Step-by-step explanation:
(0, -5) (5, 0)
(0 + 5)/(5 - 0)
5/5= 1
y + 5 = x - 0
y = x - 5
The number of hours, h, spent studying and the score, s, on a test. What is the dependent variable?
Answer:
The number of hours.
Step-by-step explanation:
The dependent variable is what you are mesuaring.
A tree 16 feet tall casts a shadow which forms an angle of 40° with the ground. How long is the shadow to the nearest hundredth of a foot?
Answer:
x = 19.06 feet
Step-by-step explanation:
Given that,
The length of a tree, h = 16 feet
It casts a shadow which forms an angle of 40° with the ground.
We need to find the length of the shadow. We can find it using trigonometry such that x be the length of the shadow. So,
[tex]\tan\theta=\dfrac{h}{x}\\\\x=\dfrac{h}{\tan\theta}\\\\x=\dfrac{16}{\tan(40)}\\\\x=19.06\ \text{feet}[/tex]
So, the length of the shadow is 19.06 feet.
-extra points- please help with this. all you have to do is state which method (factoring, using square roots, complete the square or quadratic formula) you would use in solving the quadratic equation and why you would use it. you can only use each method once for problems A through D
Answer:
Step-by-step explanation:
An older person is 4 years older than 7 times the age of a younger person. The sum of their ages is 44. Find their ages
Answer:
5 yr and 39 yr
Step-by-step explanation:
Let x = the age of the younger
then 7x + 4 = the age of the older
Now x + 7x + 4 = 44
8x + 4 = 44
8x = 40
x = 5
7x + 4 = 7(5) + 4 = 35 + 4 = 39
Check: 5 + 39 = 44
Simplify a5 divided by a3
Answer:
a^2
Step-by-step explanation:
a^5 / a^3
We know that x^y / x^z = x^ ( y-x)
a^ ( 5-3) = a^ 2
Answer:
a squared OR a2 OR a^2
Step-by-step explanation:
So we need to remember that numbers and exponents are different. When we divide a5 by a3, we subtract 3 from 5. That gives us 2. So the exponent is 2 and the answer is a2. I hope this helped! :)
Linear system
x-y=9
X+2y=27
question 20 please make (x) the subject of the formula
Answer:
The answer is
[tex] \frac{ {x}^{2} - n}{m} = { (\frac{ {a}^{2} }{b}) }^{a} \\ {x}^{2} - n = m{( \frac{ {a}^{2} }{b} })^{a} \\ {x}^{2} = m {( \frac{ {a}^{2} }{b} )}^{a} + n \\ x = \sqrt{m {( \frac{ {a}^{2} }{b}) }^{4} - n} [/tex]
Step-by-step explanation:
I am a math teacher. If you need any explanation you in mathematics you can communicate with me on Whats on this number 01557831028
I need help with 3/1 2 - 1/1 3
Answer:3/
1
Step-by-step explanation: 0 < 2 < 3 = 3
0 is less than 2 is less than 3 is equal to 3
0/
1
< 2/
1
< 3/
1
= 3/1
h o p e i t h e l p s O_O
Help please, please
Answer:
x = 17
Step-by-step explanation:
Assuming you require to find x
4x - 3 and 115 are same- side interior angles and supplementary, sum to 180°
4x - 3 + 115 = 180
4x + 112 = 180 ( subtract 112 from both sides )
4x = 68 ( divide both sides by 4 )
x = 17
There are 20 marbles in a jar, 5 are purple, 6 are green, 4 are pink and 5 are blue. You randomly select one marble.
What is the probability that you will randomly select either a blue or purple marble?
Answer: 5/20 for blue and purple: Step-by-step explanation: it's a total of 20 marbles and 4 colors for each marbal so if i had to guess 5 for blue and purple is 10/20 when added but it says either that why i put 5 instead. If it's wrong answer I am very sorry i did not get it right.
Have a good day and i hope this help you with the question given above.
Suppose point A is located at (1, 3) on a coordinate plane. If AB is 10 and the x-coordinate of point B is 9, explain how to use the Distance Formula to find the y-coordinate of point B.
Answer:
y =9
Step-by-step explanation:
you know the distance is 10 and some of the x,y points. so start filling what you know into the distance formula
10= √((9-1)^2 + (y-3)^2 )
square both sides to get ride of the square root
100 = 64 + (y-3)^2
36 = (y-3)^2
6 = y-3
y = 9
double check by using 9 for Y and you'll see it works.
Dilations map rays to rays true or false
aaaaaaaaaaaaaAnswer:
a
Step-by-step explanation:
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4i+4-2i+10
whats the answer to this equation 0_0
Answer:
2i + 14
Step-by-step explanation:
4i + 4 - 2i + 10
combine like terms
2i + 14
Answer:
14+2i
Step-by-step explanation:
That's what the equation is when u simplify it.
[tex]7 {x}^{3} + 4x - 5 + 8 {x}^{5} [/tex]
What is the degree of the polynomial?
A. 0
B. 1
C. 3
D. 5
Answer:
D
Step-by-step explanation:
The degree of a polynomial is determined by the largest exponent of a term within the polynomial.
Given
7x³ + 4x - 5 + 8[tex]x^{5}[/tex]
The term with the largest exponent is 8[tex]x^{5}[/tex] with exponent 5
Thus the polynomial is of degree 5 → D
find the slope of the line (17,-12) and (17,8)
Steven bought a gallon of milk from the store. There are approximately 0.94 liter
in a quart. Approximately how many liters are in a gallon?*
A. 9 L
B. 0.94 L
C. 3.76 L
D. 9.4 L
help and get brainliest!!!
Answer:
a
Step-by-step explanation:
Please show work, i’ll mark as brainliest
Answer:
y=4
x=-3
Step-by-step explanation:
4(-3)-9y=-48
-12-9y=-48
-9y=-36
y=4
x=-3
Answer:
simple please follow me and mark it brainliest
Step-by-step explanation:
given 4x-9y=-48
x=-3
substituting value of x in given equation
We get
4(-3)-9y=-48
-12-9y=-48
-9y=-48+12
y=-36/-9
y=36/9
y= 4
Taelor and Kael earn $50 for each lawn they mow. This month, they mowed 4 lawns. They
also earn $35 for each driveways they power wash. This month, they earned a total of
$480.00. How many driveways did they power wash?
Traders have invested $ 100,000 in the Peace Garden Center to boost the capital Mogadishu and make a profit. looga farm income to make people come to the door to take the free tickets for different values $ 0.8 adults and 0.6 children. As many as 150 tickets were sold on Friday for $ 102. produce more child tickets than adult tickets?
Jenna wants to build 8 birdhouses. She needs 2 3/5 square feet of plywood for each birdhouse. If the plywood costs $0.56 per square foot, how much will it cost Jenna to make her birdhouses?
Answer:
$11.76
Step-by-step explanation:
We first need to find the amount of plywood for all birdhouses.
2 3/5 * 8 = 104/5 or 20.8 or 20 4/5
Now we can solve the cost for all the birdhouses by multiplying the total amount of plywood needed by the price per square foot.
20.8 * 0.56 = $11.648 or estimated $11.65
Remember, the question might be different, so don't submit anything yet. If the people who sell the plywood only sell in integer numbers (meaning you can't buy 4/5 of a square foot of wood but can only by amounts with no fractions), then Jenna must buy 21 square feet of plywood and will have a little bit of wood left over. Now solve just like before.
21 * 0.56 = $11.76
Therefore the answer is $11.76 if she can only buy an integer amount of plywood or estimated $11.65. I think the best answer is 11.76.
In one year, the toll for passenger cars to use a tunnel rose from $3 to $3.50. What is the percent increase? Remember to round to nearest whole number.
PLEASE ANSWER ASAP !!!!
Answer:
probaly 2
Step-by-step explanation:
you have to figure out the slope.
y1 - y2/x1-x2
Help me find y intercept, slope, and linear function
Answer:
y=5 m=3
Step-by-step explanation:
i mean it shows you the y intercept and the slope and the linear function all in that one picture
Answer:
y-intercept = 5
slope = -1/3
Step-by-step explanation:
Help me with this pls
Answer:
[tex]\displaystyle m=\frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-9, 6)
Point (-3, 9)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{9-6}{-3+9}[/tex][Fraction] Subtract/Add: [tex]\displaystyle m=\frac{3}{6}[/tex][Fraction] Simplify: [tex]\displaystyle m=\frac{1}{2}[/tex]Answer:
C. 1/2
Step-by-step explanation:
(-9, 6) (-3, 9)
you need to subtract the x's and y's of both coordinates.
-9 - - 3 or -9 + + 3
x = 6
then, do y.
6 - 9 = 3
y = 3
then, divide the y by the x.
3/6 = 0.5
0.5 = 1/2
your answer is C. 1/2