Answer:
(3,1)
Step-by-step explanation:
let B be (x,y)
m(1,3)=midpoint
A(-1,5)=(x1,y1)
B(x,y)=(x2,y2)
(1,3)= x1+x2/2 y1+y2/2
(1,3)= -1+x/2 5+y/2
so,
-1+x/2=1 5+y/2=3
-1+x=2 5+y=6
x=3 y=1
therefore the co ordinates of B(x,y) are (3,1)
The co-ordinate points of B is (3,1)
What is midpoint in a line ?A midpoint in a given line segment divides the line segment in two equal parts.
In the given question
AB is a line segment.
Point A has co-ordinates (-1,5) and midpoint M has co-ordinates (1,3).
Assuming point B has co-ordinates (x,y)
We know midpoint formula is give by
M of x = (x₁ + x₂)/2 and M of y = (y₁ + y₂)/2
∴ 1 = (-1 + x₂)/2
2 = - 1 +x₂
x₂ = 3
And
3 = ( 5 + y₂)/2
6 = 5 + y₂
y₂ = 1
So the co-ordinate points of B(x₂,y₂) = (3,1)
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Jed is training for a marathon. Jed ran 15.6 miles away from his home. Then Jen ran 10.8 miles towards his home. Finally, Jed ran 5.3 miles away from his home. How far is Jed from his home?
Answer:
He is 10.1 miles away from his house
Step-by-step explanation:
First you translate the text into an equation using the miles he runs away from his house as positives and the miles he runs towards his house as positives.
+15.6, -10.8, +5.3
Then you put it into an equation and solve
(15.6 - 10.8) + 5.3
4.8 + 5.3
10.1
16:38:24
Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the best estimate of the speed Morris is traveling?
1 mile = 5,280 feet
45 miles per hour
46 miles per hour
47 miles per hour
48 miles per hour
The commute time to work in the U.S. Has a bell shaped distribution with a population mean of 24.4 minutes and a population standard deviation of 6.5 minutes. What proportion of the population has a commute time: a) between 11.4 minutes and 37.4 minutes? (1 pt) b) less than 11.4 minutes? (1 pt) c) greater than 37.4 minutes? (1 pt) 3. Using the parameters provided in the previous question, Q2, determine the z-score that corresponds to a commute time of 15 minutes. (2 pts)
Answer:
Q1 a) 0.9545
b) 0.02275
c) 0.97725
Q2 z is approximately equal to -1.466
Step-by-step explanation:
Q1 The given information are;
The mean time to commute to work = 24.4 minutes
The standard deviation = 6.5 minutes
a) The z-score for 11.4 is given as follows;
[tex]Z=\dfrac{x-\mu }{\sigma }[/tex]
Where;
x = Observed value 11.4
μ = The mean = 24.4 minutes
σ = The standard deviation = 6.5 minutes
[tex]Z=\dfrac{11.4-24.4 }{6.5 } = -2[/tex]
The z-score for 37.4 is given as follows;
[tex]Z=\dfrac{37.4-24.4 }{6.5 } = 2[/tex]
-2 < z < 2, which gives, from the z-score table;
The probability of commute time to be between 11.4 minutes and 37.4 minutes = 0.97725 - 0.02275 = 0.9545
b) From the z-score table, the probability that the commute time to be less than 11.4 minutes = The probability at z = -2 = 0.02275
c) From the z-score table, the probability that the commute time to be greater than 37.4 minutes = The probability at z = 2 = 0.97725
Q2 The the z-score that corresponds to a commute time of 15 minutes is given as follows;
[tex]Z=\dfrac{x-\mu }{\sigma }[/tex]
[tex]Z=\dfrac{15-24.4 }{6.5 } = -\dfrac{94}{65} \approx -1.466[/tex]
8ax−5=−3. Solve for x
Answer:
x=[tex]\frac{2}{8}[/tex]a
Step-by-step explanation:
8ax-5 = -3
Move the -5 to the right side ; -3 + 5 = 2
8ax=2
Get rid of 8a so you are left with x alone by dividing it out
[tex]\frac{8ax}{8a}[/tex] = [tex]\frac{2}{8a}[/tex]
You are left with
x= [tex]\frac{2}{8}[/tex]a
The value of x is 1/4a
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S.
There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15.
Given equation:
8ax−5=−3
8ax= -3+5
8ax= 2
x= 2/8a
x= 1/4a
Hence, the value of x is 1/4a
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The following formula can be used to predict the weight of boys between the age 1 and 8:
w = 5a + 17
where w is the average weight in pounds, and a is the boy's age in years. According to the formula, how much weight will a boy gain each year?
A) 5 pounds
B) 11 pounds
C) 17 pounds
D) 22 pounds
Answer:5
Step-by-step explanation:
Segment CD has an endpoint at C(2, -1) and a midpoint at M(8,3). What is the coordinate of point D? Explain.
Answer
Graph?
Step-by-step explanation:
mila has completed 4 birdhouses. thats is 40% of the bitdhouses she wants to build.how many birdhouses does she want to build
Answer:
10 birdhouses
Step-by-step explanation:
floor gang aooh sub to pewdiepie
Millie needs to cook a roast lamb for 1 hour and 50 minutes at 356c. How much does the roast weigh in kilo grams if the recommendation is 20 minutes for every 250 grams
Answer:
The roast weighed 1.375 kg
Step-by-step explanation:
Here, we want to know what the roast lamb will weigh in kilograms given its cooking time.
From the question, we are told that to cook 250 grams, 20 minutes is need.
So let’s make a relationship here,
Firstly let’s express 1 hour and 50 minuets in minutes, that will be 60 + 50 = 110 minutes( 1 hour is 60 minutes)
Now;
let’s have our relationship;
20 minutes = 250 grams
110 minutes = x grams
By cross multiplication;
20 * x = 250 * 110
20x = 27,500
x = 27500/20
x = 1,375 grams
But, mathematically 1000g = 1kg
So 1,375 will be 1375/1000 = 1.375 kg
solve each variable for the given variable ) 1234 = r + 4321
Answer:
r = 3,087
Step-by-step explanation:
To find r, you just subtract 1234 from 4321.
1234 = r + 4321
-4321. -4321
-3087= r
imagine reflecting triangle ABC across line MN. Then answer the questions about the reflected figure
Answer:
Triangle.
Step-by-step explanation:
Reflection of an figure across any line is the mirror image of the figure.
That means reflection of a figure is a rigid transformation, in which size or shape of the image doesn't change.
Therefore, when we reflect triangle ABC across the line MN shape of the reflected angle will remain same as a triangle.
what is the value of x in 30 - 3x = 15 + 12x
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
So we have the equation:
[tex]30-3x=15+12x[/tex]
First, let's add 3x to both sides. The left side cancels:
[tex]30=15+15x[/tex]
Now, subtract 15 from both sides. The right cancels:
[tex]15=15x[/tex]
Divide both sides by 15:
[tex]x=1[/tex]
So, the value of x is 1.
And we're done!
Answer:
1 =x
Step-by-step explanation:
30 - 3x = 15 + 12x
Add 3x to each side
30 - 3x+3x = 15 + 12x+3x
30 = 15x +15
Subtract 15 from each side
30-15 = 15x+15-15
15 =15x
Divide each side by 15
15/15 = 15x/15
1 =x
Salvador‘s class has collected 88 cans in a food drive they plan to sort the cans into X bags with an equal number of cans in each bag. write an expression to show how many cans there will be in each bag
What does it mean if two angles are complementary ?
Help me out! (URGENT) I need help with numbers 1-6 please
Answer:
Step-by-step explanation:
1. Blank= 5
2. Blank= 10 (I believe)
3. Blank= 8
4. Blank= 13 (I believe)
5. Blank= 12
6. Blank= 7
Hope it helps!
OwO
A painting is 6 in tall and 18 in wide. If it
is reduced to a height of 1 in, then how
wide will it be?
A. 108 in B. 4 in C. 2 in D. 3 in
Answer:
your answer is b
Step-by-step explanation:
A square garden has sides 100 ft long. You want to build a brick path along a diagonal of the square. How long will the path be? Round your answer to the nearest
foot.
The length of the diagonal of the square rounded to the nearest foot is 141.2 feet.
What are the dimensions of a square?The area of a square is a product of it's any two sides or a product of diagonals divided by two. If the side has a length then the diagonal is a√2.
The perimeter of a square is the sum of the lengths of all the sides.
Given, A square garden has sides 100 ft long.
Now, If we draw a diagonal it becomes a right-angled triangle with a height of 100 ft and a base of 100 feet.
Therefore, By applying Pythagoras' theorem we have,
The length of the diagonal is = √(100² + 100²).
= √(10000 + 10000).
= √(20000) feet.
= 141.42 Or 141 feet.
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A baby gains 11 pounds in its first year of life. The baby gained 4 à pounds during the first four months and 3 pounds in
its second four months. How much did the baby gain in the last four months?
33 pounds
3 pounds
4 pounds
5 pounds
A school choir needs to make T-shirts for its 75 members and has set aside some money in their budget to pay for them. The members of the choir decided to order from a printing company that charges $3 per shirt, plus a $50 fee for each color to be printed on the shirts. (The fee applies to the order, not to individual shirts) Write an equation that represents the relationship between the number of T-shirts ordered, the number of colors on the shirts, and the total cost of the order. If you use variables, specify what they represent (define them).
Answer:
[tex]Equation = 225 + 50y[/tex]
Step-by-step explanation:
Given
Members = 75
Cost of Shirt = $3
Color = $50 on all shirts
Required
Determine an equation to represent the scenario
Represent the members with x
Such that:
[tex]x = 75[/tex]
First, we need to determine the total cost of ordering x shirts
A shirt costs $3;
So,
[tex]x\ shirts = 3 * x[/tex]
[tex]x\ shirts = 3 x[/tex]
Next, we determine the total cost of colors
Represent each color with y
[tex]1\ color = \$50[/tex]
[tex]y\ color = \$50 * y[/tex]
[tex]y\ color = 50 y[/tex]
The required equation is calculated as thus;
[tex]Equation = x\ shirts + y\ color[/tex]
[tex]Equation = 3x + 50y[/tex]
Substitute 75 for x
[tex]Equation = 3 * 75 + 50y[/tex]
[tex]Equation = 225 + 50y[/tex]
Answer:
50 + 3(B) + 50 + 3(R) + 50 + 3(Y) would be the equation.
Step-by-step explanation:
Is a fraction always less than a whole number
Answer:
Yes.
Step-by-step explanation:
A fraction is a part of a whole number, so yes a fraction is always less than a whole number, unless it's a mixed number. A mixed number is when there is a whole number before the fraction.
Plaz mark brainliest. I just need 2 more to raise my level.
Answer:
Yes unless the fraction is equal to a whole number or is an improper fraction
Step-by-step explanation:
A normal fraction like 2/4 is less than a whole number because a whole number is whole and a fraction is part of
Exceptions:
4/4 is a fraction but is also a whole number
any improper fraction ( a fraction not simplified)
5/4 it equals more than a whole number 1 1/4
So simplify the fraction and if it is equal to or more than a whole number you know, but if it is less than a whole number then you know it is less.
Hopefully this helped :)
Morgan, Dakota and Taylor showed their work solving the equation 7x + 5x +1= 73. Identify the student with the invalid first step and justify your reasoning. Morgan 7x + 5x + 1 = 73 12x + 1 = 73 Dakota 7x + 5x + 1 = 73 7x + 6x = 73 Taylor 7x + 5x + 1 = 73 7x + 5x = 72
Answer:
Morgan, Dakota and Taylor showed their work solving the equation 7x + 5x +1= 73. Identify the student with the invalid first step and justify your reasoning. Morgan 7x + 5x + 1 = 73 12x + 1 = 73 Dakota 7x + 5x + 1 = 73 7x + 6x = 73 Taylor 7x + 5x + 1 = 73 7x + 5x = 72
Step-by-step explanation:
Answer this question with the image provided
1. If Bob scored a 75 on a test with a mean of 75, what would his z-score be?
Answer:
the z score is 25
Step-by-step explanation:
since 75 needs 25 more for and 100%
The z-score of Bob if he scored 75 on a test that has a mean of 75 is: z-score = 0.
What is the Z-score?The z-score = (raw score - mean score)/standard deviation.
A z-score of 0 means the raw score is exactly average.
For a raw score of 75, where the average(mean) is 75, the z-score would definitely be 0.
Thus, Bob's z-score is 0.
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Between which two consecutive whole numbers does 47 lie? Fill out the sentence
below to justify your answer and use your mouse to drag ✓ 47 to an approximately
correct location on the number line.
147
Real
2
4
5
6
10
Since
and
it is known that ✓ 47 is between
and
Submit Answer
Answer:
Between 6-7
Step-by-step explanation:
The square root of 47 is in-between 6 (36) and 7 (49), and is closer to 7 than to 6.
*Formatting is a little off, so apologies if this isn't the exact answer you're looking for
A square room in your house has an area of 85 square feet. What is the approximate length of each side of the room?
Answer:
9.2 ft
Step-by-step explanation:
The area of a square is A = s^2 where s is the side length
A = s^2
85 = s^2
Take the square root of each side
sqrt(85) = sqrt(s^2)
sqrt(85) = s
9.219544457 =s
9.2 ft is about the length of each side
expand simplify m^2-3m+3m-9
☆ First we need to Distribute:
⇒ (2)(3m)+(2)(4)+(3)(m)+(3)(−5)
⇒ 6m+8+3m+−15
☆ Now Combine Like Terms:
⇒6m+8+3m+−15
⇒(6m+3m)+(8+−15)
⇒9m+−7
☆ Giving us the answer of:
9m+−7
Answer:
[tex]m^2-9[/tex]
Step-by-step explanation:
Simplify [tex]m^2-3m+3m-9[/tex]
add -3m and 3m
[tex]m^2+0-9[/tex]
add [tex]m^2[/tex] and 0
[tex]m^2-9[/tex]
Kreem has 70 flowers.He gives away some flowers.now he has 2 flowers. how many flowers did Kreem give away.
Answer:
68 flowers
Step-by-step explanation:
70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68.
Answer:
68 flowers
Step-by-step explanation:
Kreem starts with 70 flowers
He gives x amount of flower away
That leaves us with 70-x =2
Or 2+x=70
We can now rewrite the question to 70-2=x
Using this we see x, the amount of flowers given away, is 68.
Kreem gave away 68 flowers
Happy to help!
You flip a quarter. What is the probability of landing on heads?
Answer:
25%
Step-by-step explanation:
Two bikers rode at a constant speed on a 150-meter track. The data here show each biker’s distance for a certain part of the race. Who won the race and by how much? Student 1 A 2-column table with 4 rows. Column 1 is labeled Time (seconds) with entries 4, 6, 8, 10. Column 2 is labeled Distance (meters) with entries 40, 60, 80, 100. won the race by about .
Answer:
Student 2 1 sec
Step-by-step explanation:
Determine whether the description corresponds to an observational study or an experiment.Research is conducted to determine if there is a relation between stomach cancer and alcohol consumption.
Answer:
Observational
Step-by-step explanation:
Observational studies are studies that measure the outcome of events without the introduction of interventions. They are useful in the formation of a hypothesis. The experiment described above is an observational study that compares two groups so as to measure the predictors of an outcome. No intervention is introduced to influence the outcome of the research.
An experiment on the other hand is often organized as a randomized control trial where subjects are divided into groups and a placebo or control group is introduced to monitor the outcome of the study.
Olivia wants to purchase a discounted road bike for $250. This is $18 more than the cost of the road bike at full price.
What is the original price of the road bike?
Answer:
$268
Step-by-step explanation:
Solve the equation for I
P = 2(I + W)
Answer:
i=12p−w
Step-by-step explanation:
Step 1: Flip the equation.
2i+2w=p
Step 2: Add -2w to both sides.
2i+2w+−2w=p+−2w
2i=p−2w
Step 3: Divide both sides by 2.
2i2=p−2w2
i=12p−w
