Answer:
A(-8,5)
Step-by-step explanation:
Given two points (-6, 3), and (-10, 7). The midpoint is calculated by averaging the x, and y values of two coordinates. As (-10, 7) is the the first point (x1, y1), and (-6, 3) is the second point (x2, y2).
[tex]midpoint \: of \: (x_{1},y_{1}), \: and \: (x_{2},y_{2}) \\ = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})[/tex]
[tex] midpoint \: of \: (-6,3), \: and \: (-10,7) = (\frac{-10 + -6}{2}, \frac{7 + 3}{2}) \: = (\frac{-16}{2}, \frac{10}{2}) \: = (-8,5)[/tex]
The Baltic Sea is almost completely surrounded by countries in Europe. The average depth of the Baltic Sea is 52 meters below the surface. The deepest point in the Baltic Sea is 407 meters lower than this. What is the deepest point in the Baltic Sea relative to the surface?
Answer:
The deepest point in the Baltic Sea relative to the surface is 459 meters.
Step-by-step explanation:
The average depth of the Baltic Sea is:
[tex] d_{1} = 52 m [/tex]
The deepest point in the Baltic Sea is (lower than this):
[tex] d_{2} = 407 m [/tex]
Hence, the deepest point in the Baltic Sea relative to the surface is given by:
[tex] d_{T} = d_{1} + d_{2} = 52 m + 407 m = 459 m [/tex]
Therefore, the deepest point in the Baltic Sea relative to the surface is 459 meters.
I hope it helps you!
Mason has already run 7 miles on his own, and he expects to run 1 mile during each track
practice. How many track practices would it take for Mason to run 26 miles?
Answer:
it would take him 19 track practices
Step-by-step explanation:
26miles - 7miles= 19miles
solving equations with variables on both side! due today
Answer:
x=5
Step-by-step explanation:
2-3x = -x-8
Add 3x to each side
2-3x+3x= -x+3x-8
2 = 2x-8
Add 8 to each side
2+8 = 2x-8+8
10 =2x
Divide by 2
10/2 =2x/2
5 =x
If MO=16x, MN=14x+20, then what is the length of NM
Answer:
The length of NM would be -26 2/3.
The function y = 0.752 +4.75 represents the cost y (in dollars) of a bowl of soup with a bread sticks. You can buy 0, 1, 2, or 3 bread sticks.
Identify the independent and dependent variables, the domain, and the range.
Answer:
Answer in explanation
Step-by-step explanation:
y = 0.752x + 4.75
The independent variable will refer to what we have on the horizontal axis which is x. It is from these x we will get the values of the y
The dependent variable is the other variable asides the independent, in this case, the dependent variable is y
When we talk of the domain, we talk of the range of values from the independent variable axis
Here, these values are 0,1,2 or 3
Lastly, the domain refers to the range of values on the y-axis
To get this, we need to input the x-values digit into the equation one after the other
At x = 0
y = 4.75
At x = 1
y = 0.752 + 4.75 = 5.502
At x = 2
y = (0.752)2 + 4.75 = 6.254
At x = 3
y = 0.752(3) + 4.75
= 7.006
The range of values is between 4.75 and 7.006
Explain how to find the constant of proportionality from a table, graph, or written description. Ready? Enter your answer here.
The constant of proportionality is the slope.
The slope is the change in Y over the change in x. (Y2 -y1) / (x2 -x1)
From a table use two set of values (x,y) subtract two y values from each other and then subtract the two corresponding x values from each other. Depending on the size of the table it’s a Leah a good idea to use the first and last set of values from the table.
From a graph locate two points on the line that you can get an accurate x and y value and subtract the two y values and the two x values: (y2 -y1) / (x2-x1).
From a written description there should be a reference two two different points, using the two referenced point subtract them like in the directions given above.
PLZ HELP ME WITH THIS IT IS SO CONFUSING ON 10 MINUTES LET PLZZZ ILL GVE BRAINLIEST
Answer:
f = 3x^2+ 1 / x
Step-by-step explanation:
Let's solve for f.
fx=3x2+1
Step 1: Divide both sides by x.
fx / x = 3x^2+1 / x
f= 3x2+1 / x
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = 3x² + 1
To obtain f(- 1) substitute x = - 1 into f(x) , that is
(8)
f(- 1) = 3(- 1)² + 1 = 3(1) + 1 = 3 + 1 = 4
(9)
Similarly
f(0) = 3(0)² + 1 = 3(0) + 1 = 0 + 1 = 1
(10)
Given
f(x) = 3x² + 1 and f(x) = 49, then equate right sides
3x² + 1 = 49 ( subtract 1 from both sides )
3x² = 48 ( divide both sides by 3 )
x² = 16 ( take the square root of both sides )
x = ± [tex]\sqrt{16}[/tex] = ± 4
That is x = - 4 or x = 4
what is the slope of the line whose equation is y-4=5/2(x-2)
-5/2
-2/5
2/5
5/2
Answer:
The slope of the line would be 5/2
Step-by-step explanation:
Because if you put in the y-4=5/2(x-2) on the desmos calculator the line segment shows up and you will find the rise/run which is the equation to find a slope. So the rise I counted was 5 and the run was 2. Therefore the fraction would look like this: 5/2
Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.
Answer:
whats the question
Step-by-step explanation:
whats the question
Answer:The rest of the question is: Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?
Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.
Step-by-step explanation:
Took the test
Olivia and her family are planning a vacation that involves water skiing. Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 an hour to rent the boat.
Complete the table to determine the total cost for 1, 2, 3, and 4 hours.
Answer:
Step-by-step explanation:
Let the number of hours used to rent the boat be represented by h.
Since Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 for every hour used, the expression to calculate the cost for hours used will be:
= $20.50 + $12.25h
where h = number of hours used.
The cost for 1 hour will be:
= $20.50 + $12.25h
= $20.50 + $12.25(1)
= $20.50 + $12.25
= $32.75
The cost for 2 hours will be:
= $20.50 + $12.25(2)
= $20.50 + $24.50
= $45
The cost for 3 hours will be:
= $20.50 + $12.25h
= $20.50 + $12.25(3)
= $20.50 + $36.75
= $57.25
The cost for 4 hours will be:
= $20.50 + $12.25h
= $20.50 + $12.25(4)
= $20.50 + $49
= $69.50
=
PLEASE HELP ME I REALLY NEED HELP ON THIS QUESTION!!!!\
Keyleanis and her friend both started a part-time job at McDonnald earning $14 per hour. Claudia worked 38 ½ hours her first week. Keyleanis agreed to pay her friend 1/5 of her salary for reimbursement off gas and food. How much money did Keyleanis pay her friend for gas?
Answer:
[tex]total \: earning \: in \: a \: week \: \\ = 14 \times \frac{77}{2} \\ = 7 \times 77 \\ = 539 \\ now \: pay \: for \: her \: friend \\ 539 \times \frac{1}{5} = 107.8[/tex]
You are making picnic baskets. The list shows the items you are putting into the baskets. You want identical groups of items in each basket with no items left over. What is the greatest number of picnic baskets you can make? 32 sandwiches 40 granola bars 48 apples
Answer:
8 picnic baskets
Step-by-step explanation:
We are told in the question we have :
32 sandwiches
40 granola bars
48 apples
The greatest number of picnic baskets we can have is calculated using greatest common factor method
The factors are:
The factors of 32 are: 1, 2, 4, 8, 16, 32
The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Then the greatest common factor is 8.
Therefore, the greatest number of picnic baskets you can make is 8 picnic baskets.
Step-by-step explanation
We are told in the question we have :
32 sandwiches
40 granola bars
48 apples
Tell whether the set of fractions are equivalent.
Explain why or why 5/7 15/21
Answer:
YESStep-by-step explanation:
[tex]\dfrac{5}{7}=\dfrac{5\cdot3}{7\cdot3}=\dfrac{15}{21}[/tex]
Yes, because you can multiply the numerator and denominator by the same number except 0. The fraction value does not change.
A dealer bought an article for Rs1500 and sold it at 20 percent profit . what was rhe sale price of the article?
pls solve this question i will mark as a brainlist.
[tex]\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]
Given that , a dealer bought an article for Rs 1500 and sold it at a profit of 20% .
So , here ,
Cost price of the article = Rs 1500.Profit on the article = 20% .Since the article is sold at profit , the Selling price of the article will equal to Cost price + 20% of cost price .
Firstly let's Calculate 20% of 1500 .
= 20% of Rs 1500 .
= 20/100 × Rs 1500 .
= Rs 300 .
Hence we can find now Selling price as ,
[tex]\boxed{\green{\bf Selling\: Price=Cost\:Price+Profit}}[/tex]
⇒ SP = CP + Profit .
⇒ SP = Rs ( 1500 + 300 ).
⇒ SP = Rs 1800 .
Hence the required answer is Rs 1800.
The sum of two consecutive integers is 245 what is the smaller integer?
Answer:
122 is the smaller integer
Step-by-step explanation:
n = the smaller integer
n+1 is the larger integer
122+(122+1) = 245
Round 7,954 to the place named.
Answer:
8.0
Step-by-step explanation:
Answer:
8.0, 7.95, 8.0
Step-by-step explanation:
I don't know how I'm supposed to explain this but um. Yeah those are the answers
A deposit of $6,500 was invested and has grown to $8,300 in 5 years. The growth in value was via simple interest, calculated on the basis of the initial investment. Calculate the rate of interest. Give your answer as a percentage to the nearest tenth of a percent.
Answer: 5.5%
Step-by-step explanation:
Since the money invested has grown to $8300 and the principal was $600, this means the interest is:
= $8300 - $6500
= $1800
Simple interest = (Principal × Rate × Time)/100
1800 = (6500 × Rate × 5)/100
Cross multiply
1800 × 100 = 32500 × Rate
Rate = 180000/32500
Rate = 5.5%
A ramp is 50 feet long and has a 6° incline. A second ramp is 30 feet long and runs parallel to the first ramp. To determine the vector representing the shorter ramp, what scalar must be multiplied to the vector representing the first ramp? a scalar less than –1 a scalar between –1 and 0 a scalar between 0 and 1 a scalar greater than 1
Answer:
a scalar between 0 and 1
Step-by-step explanation:
i just took the test on EdG. :)
To determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.
To answer the question, we need to know what scalars and vectors are
What are scalars?These are variables that have only magnitude.
What are vectors?These are variables that have both magnitude and direction.
Now since the first ramp is 50 feet long and has a 6° incline and the second ramp is 30 feet long and runs parallel to the first ramp. We see that the magnitude of the first ramp is greater than that of the second ramp.
So, to obtain a vector representing the second ramp from that of the first ramp, we multiply by a scalar which will be between 0 and 1, since, the magnitude of the first ramp vector is greater than the magnitude second ramp vector.
So, to determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.
Learn more about vectors here:
https://brainly.com/question/25705666
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Ron Alotte and Dee Selerate ran a 20 km. Race. Dee made three 10 minute stops during the race to fix her shoes and rest and yet the two racers finished in a tie. If Ron ran the race at a constant speed of 8 km. Per hour, find Dee's average speed when running.
Answer:
10km/hr
Step-by-step explanation:
Given that:
Distance covered by both Dee and Ron= 20km
Ron's speed = 8km/hr
Dee made three 10 minute stops during the race.
Time it took Ron to cover 20km
Time = distance / speed
20km / 8km/hr = 2.5 hours = 150 minutes
Since they both tied ;
Running time of Dee = (150 - (3*10)) = 120 minutes = 2 hours
Ron's speed = distance / time
Speed = 20 km / 2hours
Speed = 10km/hr
0.5b+4=2(b+2)
I need help on this question?
Answer: b=0
Step-by-step explanation:
0.5b+4=2(b+2)
0.5b+4=2b+4
4=1.5b+4
0=1.5b
b=0
A telephone number has the form NXX-ABC-XXXX. Today N is 2-9, and X is 0-9. However, there are exceptions as 37X and 96X are reserved for future use. Additionally N9X is reserved for expanding the total numbers at a later date. Finally, N11 is reserved for service numbers. How many total area codes are currently available given this information?
Answer:
The total area codes that are currently available is 692.
Step-by-step explanation:
The area code is of the form: NXX.
The variable N can take values,
N = {2, 3, 4, 5, 7, 8 and 9}
The variable X can take values,
X = {0, 1, 2, 3, 4, 5, 7, 8 and 9}
Considering that repetitions are allowed.
The total possible number of area codes is:
T = 8 × 10 × 10 = 800
So, there are 800 possible area codes.
The exception codes are:
{37X, 96X, N9X and N11}
There are 10 possible combinations for 37X.There are 10 possible combinations for 96X.There are 80 possible combinations for N9X.There are 8 possible combinations for N11.So, the number of reserved area codes is, 10 + 10 + 80 + 8 = 108.
Then the area codes that are currently available is, 800 - 108 = 692
Thus, the total area codes that are currently available is 692.
Needing a answer ASAP! TYYY
Answer: 840 feet squared
Step-by-step explanation: 24ft * 35ft = 840
simba travel agency arranged trips for climbing mount kilimanjaro. for each trip, they charge an initial fee of 100$ in addition to a constant fee for each veriticle meter climbed. for instance, the total fee for climbing to the shira volcanic cone, which is 3000 meters above the base of the mountain is 400$. let y represent the total fee in dollars of a trip where they climbed x vertical meters.
The following numbers are arranged in ascending order. Their median and mean are same .Find the value of x: 4, 7 ,x + 1, x+ 3 ,x + 4, 14, 16
Answer:
x=7
Step-by-step explanation:
(4+7+x+1+x+3+x+4+14+16)/7=x+3
(11+x+1+x+3+x+4+14+16)/7=x+3
(49+3x)/7=x+3
49+3x/7=x+3
49+3x=7x+21
49=4x+21
28=4x
x=7
4. Which of these is a linear pair?
2x+x=180
3x=180
x=180/3
x=60
How would I do this?
Chris mixes 4 cups of cereal 3 cups of pecans and 2 cups of raisins. What are three ways to write the ratio of cups of cereal to cups of pecans?
Answer:
cereal : pecans : raisins = 2 : 1.5 : 1
Step-by-step explanation:
Given:
The amount of cereal in snack mix = 4 cups
The amount of pecans in snack mix = 3 cups
The amount of raisins in snack mix = 2 cups
Therefore,
The total amount of snack = 4 cups + 3 cups + 2 cups = 9 cups
Now,
The ratio is given as:
=
therefore,
Ratio of cereal in snack mix =
and,
Ratio of pecans in snack mix =
Ratio of raisins in snack mix =
Now,
we have ratio as:
4 : 3 : 2
i.e cereal : pecans : raisins
taking 2 common
we get
2 : 1.5 : 1
therefore,
the maximum amount
Step-by-step explanation:
If a + b = -3 and ab = -5/2
then find the quadratic equation whose roots
are a and b.
• Sum of zeroes ( a + b ) = -3
• Product of Zeroes ( ab) = -5/2
To find :• The quadratic equation .
Solution :As we know that :
• Quadratic equation
=> x² - ( sum of Zeroes )x + product of zeroes =0
Put the given values :
=> x² - (-3)x + ( -5/2) = 0
=> x² + 3x -5/2 = 0
=> (2x² + 6x -5) / 2 = 0
=> 2x² + 6x -5 = 0
Hence , the quadratic equation is 2x² + 6x -5 .
I hope it will help you.
Regards.
A computer store is having a clearance sale. All items are discounted by 35%. What is the sale price of a disc drive that regularly costs $40?
Answer:
$14
Step-by-step explanation:
Bags of cat food can be
purchased in the sizes shown.
Drag the bags to the boxes to
order them based on their price per ounce
Answer:
(72 oz. $17.99)------------>Least expensive
(32 oz. $7.32)------------>middle
(48 oz. $9.60)------------>most expensive
Step-by-step explanation:
Once you understand how to do it, it's easy!
Just divide the ounces by the price to findout the cost
72 ÷ 17.99 = 4.00
32 ÷ 7.32 = 4.37
48 ÷ 9.60 = 5.00
4.00 < 4.37 < 5.00
Least, Middle, most
Good Job! Pls Brainliest! ;)