Answer: 13 ( 1 + 2 )
Step-by-step explanation:
13 ( 1 + 2 ) = 13 + 26
The distance between two points, a and b, on a number line is expressed as
|a – b|, where a and b are rational numbers. Think about locating a point halfway between a and b on a number line. How can you find the coordinate for such a point? Develop a formula in terms of a and b that you can use to find the coordinate. Your formula must work for positive and negative values of a and b. Does absolute value play a role in your formula? Why or why not? Under what circumstances might your formula be used in the real world? Explain.
Discuss how you can find the coordinate of a point located other fractional distances from a to b (or from b to a). For example, locate a point three-fourths of the distance from a to b. What kind of calculation is involved?
The distance between points (a) and (b) is the number of units between the points.
Formula for halfway two
Assume the lesser point is point (a)
To locate the halfway between points (a) and (b)
Calculate the absolute difference between points (a) and (b) i.e. |a - b|Divide the difference into halvesAdd the value of one half to point (a).The above steps is represented as:
[tex]P = a + \frac{|a - b|}{2}[/tex]
Using the above formula, the halfway point between 5 and 11 would be 8
The formula can be used to calculate the distance between negative points, and absolute values are used to determine the number of units between the points
Real world circumstance
The formula can be used to calculate the halfway distance between two points on a track
Fractional distance
To determine the fractional distance, we simply replace the 1/2 in the original formula with the appropriate fraction.
Take for instance, three-fourths from (a) to (b) would be:
[tex]P = a + \frac{3|a - b|}{4}[/tex]
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Write the equation of the line in slope-intercept form that passes through (-3, -5) and (0, 4).
Answer:
y = 3x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 5 ) and (x₂, y₂ ) = (0, 4 )
m = [tex]\frac{4-(-5)}{0-(-3)}[/tex] = [tex]\frac{4+5}{0+3}[/tex] = [tex]\frac{9}{3}[/tex] = 3
The line crosses the y- axis at (0, 4 ) ⇒ c = 4
y = 3x + 4 ← equation of line
Name an example of a real life use of the sine graph.
Answer:
Sine and cosine functions can be used to model many real-life scenarios – radio waves, tides, musical tones, electrical currents.
im sorry if its wrong I just search this :)
A zookeeper is monitoring the population of gazelles. The herd needs to have exactly three times more males than females to thrive. The zoo only has room for a maximum of 12 female gazelles. Let x represent the number of female gazelles and y represent the number of male gazelles. Write the constraints that represent the possible number of male and female gazelles that can live in a thriving population at the zoo. X > 0 and y > 0 0 < x ≤ 12 and 0 < y ≤ 36 0 < x ≤ 12 and y > 36 x > 0 and y < 23.
Option C is correct.
Given to us:
female gazelles[tex](x)[/tex] can be maximum of 12 only. therefore,
Condition 1 is [tex]12\geq x>0[/tex].
while,
male gazelles[tex](y)[/tex] should be exactly 3 times more than females to thrive. therefore,
Condition 2 is [tex]36\geq y>0[/tex].
There is only one option among all the options available which is satisfying both the conditions. therefore, option C is the correct option.
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Answer:
c is the answer
Step-by-step explanation:
it took the test and got it correct
How long is a bus journey that starts at 8.55 a.m. and ends at 9.17 a.m.?
Please can you put the answer in minutes?
Answer:
5+17=22 minute
Can someone pls help me
Answer:
6π Km
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{120}{360}[/tex]
= 2π × 9 × [tex]\frac{1}{3}[/tex]
= 18π × [tex]\frac{1}{3}[/tex]
= 6π Km ← exact value
Solve the following system: y = x 3 3x y = 19 (7, 4) (â’4, 7) (4, 7) (4, â’7).
The correct option is C. (4,7).
Given equations,
[tex]y=x+3....(1)\\3x+y=19....(2)[/tex]
We have to solve the equations.
From equation 1 put the value of y in equation 2 we get,
[tex]3x+x+3=19\\4x=16\\x=4\\[/tex]
Now putting the value of x in equation 1 we get,
[tex]y=4+3\\y=7[/tex]
Hence the required solution of the above equations is (4,7).
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PLEASEE HELPP!
Use the following figure to answer BOTH parts the question
(a) Describe in words a sequence of transformations that maps ∆ to ∆′′′.
(b) Write an ordered-pair rule for each transformation in the sequence.
Transformation involves changing the position of a shape
The sequence that maps ∆ABC to ∆A′B′C′ is reflection across the y-axis, followed by horizontal and vertical shiftsThe ordered pair rule is: [tex](x,y) \to (-x,-1,y-2)[/tex](a) The sequence that maps both triangles
From the figure the coordinates of both triangles are:
[tex]A = (-5,0)[/tex]
[tex]B = (-2,1)[/tex]
[tex]C = (-4,2)[/tex]
[tex]A' = (4,-2)[/tex]
[tex]B' = (1,-1)[/tex]
[tex]C = (3,0)[/tex]
Start by reflecting triangle ABC across the y-axis.
The rule of this transformation is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]A = (5,0)[/tex]
[tex]B = (2,1)[/tex]
[tex]C = (4,2)[/tex]
Next, translate the triangle 1 unit left and 2 units down
The rule of this transformation is:
[tex](x,y) \to (x,-1,y-2)[/tex]
So, we have:
[tex]A' = (4,-2)[/tex]
[tex]B' = (1,-1)[/tex]
[tex]C = (3,0)[/tex]
Hence, the sequence that maps ∆ABC to ∆A′B′C′ is reflection across the y-axis, followed by horizontal shift to the left by 1 unit, and vertical shift down by 2 units
(b) The ordered pair rule
In (a), we have:
[tex](x,y) \to (-x,y)[/tex] ---- reflection
[tex](x,y) \to (x,-1,y-2)[/tex] --- translation
Combine both transformations, so we have the following ordered pair:
[tex](x,y) \to (-x,-1,y-2)[/tex]
Hence, the ordered pair rule is: [tex](x,y) \to (-x,-1,y-2)[/tex]
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Helen has been sick and only able to work on a part time basis what type of disability may she be eligible for? What percentage should she expect the insurance policy to pay
The percentage of the amount which should be expected to be paid from the insurance policy based on the part time work Helen has been doing is:
Two-thirds of their average weekly wageBased on the given question, we can see that partial disability benefit is the theme in play here as Helen has been sick and been working on a part time basis which helps her to be eligible for partial disability benefit.
Under this type of disability benefit, Helen is entitled to get about two-thirds of her average weekly wage because she is working part time because of her disability which is her sickness.
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Solve three tenths times five sevenths.
fifteen seventieths
twenty seventieths
eight seventeenths
fifteen seventeeths
Answer:
15/70 is the answer
Step-by-step explanation:
3/10 x 5/7
3x5=15 and 10x7=70
As a result, the answer to the question is 15/70
Thank you for reading! It is my hope that you will find it helpful in some way!
Write and solve an equation for the following:
Answer:
x = 12
Step-by-step explanation:
The measures of ∠XYW and ∠WYZ would equal m∠XYZ.
[tex]3x + 2 + 72 = 110\\\rule{150}{0.5}\\3x + 74 = 110\\\\3x + 74 - 74 = 110 - 74\\\\3x = 36\\\\\boxed{x = 12}[/tex]
Hope this helps.
Write an expression that is equivalent to 21h- 10h + 16 - 9 + 14h + 5
Answer:
25h+12
Step-by-step explanation:
Combine Like Terms:
21h+−10h+16+−9+14h+5
(21h+−10h+14h)+(16+−9+5)
25h+12
Same thing, no difference.
Hope this helped! :)
Please help! I forgot how to do it
There are 100 students in the sixth grade. The ratio of boys to girls is 2:3. How many more girls than boys are in the sixth grade?
Answer: I Think you will make 100 time 2 divide 3
Step-by-step explanation:
i'm not sure, have a nice day
convert 3 3/4 into a improper fraction
Answer:
3 3/4 = 15/4
Step-by-step explanation:
To turn a mixed number into an improper fraction, multiply the whole number with the denominator of the proper fraction. Add the numerator of the proper fraction to this product to obtain the numerator of the improper fraction.
Hoped this helped.
Omar drew a line that was 12 centimeters long. Which line is 5 centimeters shorter
Answer:
12 - 5 is 7 so the line would be 7 centimeters
Step-by-step explanation:
Answer:
the answer is 7
Step-by-step explanation:
12-5=7
what is the greatest common multiple of 9 and 27
Hi,
The greatest common multiple of 9 and 27 is 9
explanations:
9 x 1 = 9
9 x 3 = 27
✅;-)
pls answer quickly
This Histogram shows the heights in inches of members of a middle school volleyball team. How many members are between 50 and 70 inches tall?
A. 12
B. 10
C. 6
D. 4
Answer:
I need the photo
Step-by-step explanation:
I need the photo
Which of the following is a perfect square a) 1057 b) 625 c) 928 d) 64000
Answer:
625
Step-by-step explanation:
625 is the (perfect) square of 25. The other three numbers are not perfect squares.
b... 625
...............................
Find the circumference of a circle with a radius of 2.4 m
Answer:
15.07964
..................
not sure how many decimals you want lol, but here ya go:
15.07964474
for future reference you can plug radius (r) into
c = 2pi x r
to get the circumference :)
what term is used to refer to the reverse order of a conditional statement
[tex] \: \: \: \: \: \: [/tex]
converseThe converse of a conditional statement is created when the hypothesis and conclusion are reversed.hope it helpsBob's Gift Shop sold 350 cards for Mother's Day. One salesman, Bentley, sold 2% of the cards sold for Mother's Day. How many cards did Bentley sell?
2% of 350 is 7, so Bentley sold 7 cards on Mother's Day
£42 is shared equally between 3 friends.
How much does each friend get?
Given that £ 42 is distributed among 3 friends.
So, each will get
[tex] = 42 \div 3 \\ = £14[/tex]which is a line of symmetry
Answer:
is there a pic?
Step-by-step explanation:
we are able to see
Jae bought 85 tickets to spend on games and rides at an amusement park. Games cost 3 tickets each, and rides cost 8 tickets each. Jae has already used 39 of the tickets. If he uses all of his remaining tickets for rides, how many more times can Jae go on rides?
Answer:
15
Step-by-step explanation:
Jae can go 15 more times on the rides.
Answer:
Jae can ride 5.75 or 5 more times
Step-by-step explanation:
Total of tickets, Jae buys 85
Jae uses (-) 39 tickets
85 - 39 = 46 remaining tickets
Rides: 8 tickets each
46/8 = 5.75
I hope this helps.
Definition of Variable and Constant with examples!
Spam free answers required!
Answer:
[tex]\large\boxed{\boxed{\boxed{\mathfrak{variable}}}}[/tex]
Variable is a symbol that represents a quantity in a mathematical expression, as used in many sciences. Variable (research), a logical set of attributes. Variable star, a type of astronomical star.
[tex]\large\boxed{\boxed{\boxed{\mathfrak{constant}}}}[/tex]
A constant, sometimes also called a "mathematical constant," is any well-defined real number which is significantly interesting in some way. A function, equation, etc., is said to "be constant" (or be a constant function) if it always assumes the same value independent of how its parameters are varied.
help me plz i need help
Answer:
y-2.0
x-2.3
Step-by-step explanation:
hope it help
Answer:
x- intercept = - 1, y- intercept = - 1
Step-by-step explanation:
The x- intercept is the point on the x- axis where the line crosses
x- intercept = - 1
The y- intercept is the point on the y- axis where the line crosses
y- intercept = - 1
Marcus is it mixing blue and yellow paint in the ratio of 2 to 3 to make green paint. He wants to make 45 L of green paint. Him being to make a table to help him think about the problem but is unsure of what to do next. Marks find Amandas also mixing paint she wants to make purple paint by mixing 2 cups of blue with a4 cups are red paint. Amanda makes her pain in his left with 48 cups of purple paint how many more cups of purple paint did she use than blue paint? If Amanda has 15 cups of blue paint how many cups repair does she need? Amanda wants her purple paint mixture from part bead to be a little lighter so she mixes in two more cups of white paint what is the ratio of blue paint to repaint the white paint that she used?
This question is based on the concept of ratio. Therefore, he needs to have 18 liters of blue paint and 27 liters of yellow paint to make 45 liters of green paint.
Given:
Mark was mixing blue and yellow paint ratio of 2:3.
He wants to make 45 liters of green paint.
According to the question,
Blue : Yellow = Green
2 : 3 : 2+3 (Given)
2 : 3 : 5
Therefore, he wants to make 45 liters of green paint.
So, 5 parts = 45 liters
Now, calculating for each part.
We get,
Each part = 45÷ 5 = 9 liters
Now for 2 parts = 9 x 2 = 18 liters
And, for 3 parts = 9 x 3 = 27 liters
Therefore, he needs to have 18 liters of blue paint and 27 liters of yellow paint to make 45 liters of green paint.Fill in the blank for this graph.
Answer:
2.22
Step-by-step explanation:
100 POINTS PLEASE HELP ME I BEG 100 POINTS
Answer:
see explanation
Step-by-step explanation:
(1)
Since FE = FG the triangle is isosceles with ∠ E = ∠ G, then
∠ E = [tex]\frac{180-106}{2}[/tex] = [tex]\frac{74}{2}[/tex] = 37°
(2)
Since all 3 sides are congruent then triangle is equilateral with the 3 angles being congruent, 60° each , then
12y = 60 ( divide both sides by 12 )
y = 5
(3)
The 3 angles are congruent then triangle is equilateral with the 3 sides being congruent, then
KL = JL , that is
4t - 8 = 2t + 1 ( subtract 2t from both sides )
2t - 8 = 1 ( add 8 to both sides )
2t = 9 ( divide both sides by 2 )
t = 4.5
(4)
Given ∠ B = ∠ C then triangle is isosceles with 2 legs being congruent , that is
AB = AC
4x + 1 = 9 ( subtract 1 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
Then
perimeter = AB + BC + AC = 4x + 1 + 2x + 3 + 9
= 6x + 13
= 6(2) + 13
= 12 + 13
= 25
Answer:
full
Step-by-step explanation:
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