Preeta watches an ant and beetle crawl in a hole in the ground. the beetle is 3/4 inch below ground level. the beetle climbs 1/3 the distance the ant is below the ground level. the beetle is now 2 1/2 inches below ground level. Let X be the position of the ant relative to ground level. what equation can be written to solve for X? solve the equation.
Answer:
1a: [tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]
1b: See below
1c: [tex]2\frac{3}{4}[/tex] inches between the beetle and ant
Step-by-step explanation:
1a. To build the equation, we need to see that the beetle started at 3/4th inches below ground level, then "climbed" (which is poor English, it should be descended) a certain distance, and then it ended up at 2 1/2 inches below ground. The distance "climbed" can be represented as 1/3X, where "X" is the ant's current distance. We would do 1/3rd times "X" to figure out how much the beetle climbed down.
So that means, if we added together the starting position of 3/4, plus the distance the beetle descended (1/3X), that would get us TO 2 1/2 inches below ground (the beetle's new current position). So therefore our equation is:
[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]
1b. Solve the equation written above from 1a.
[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]
-3/4 -3/4 [subtract 3/4 to start the process of getting x by itself]
[tex]\frac{1}{3}x[/tex] = 1[tex]\frac{3}{4}[/tex]
*3/1 *3/1 [Multiply Reciprocal to get X by itself]
x= [tex]5\frac{1}{4}[/tex]
1c. So we take the position of the ant figured out on 1b (5 1/4 inches), and the new current position of the beetle (2 1/2 inches), and subtract them
5 1/4 - 2 1/2 = [tex]2\frac{3}{4}[/tex]
Pre college need help with 5
Answer:
parallel
Step-by-step explanation:
maybe I guess it parallel, cause it not perpendicular
Answer:
Step-by-step explanation:
3x - 8y = 19
-8y = -3x + 19
y = (3/8)x - 19/8
32x + 12y = 19
12y = -32x + 19
y = (-32/12)x + 19/12
y = (-8/3)x + 19/12
as the slopes of the lines are negative reciprocals of each other, the lines are PERPENDICULAR
Write the following complex number in rectangular form. 6(cos π/ 4+ isin π/ 4)
6(cos π/ 4 + i sin π/ 4) =
(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Type your answer in the form a+bi. Rationalize all denominators.)
[tex]\stackrel{\textit{complex form}}{\stackrel{\stackrel{r}{\downarrow }}{6}\left[ \cos\left( \frac{\pi }{4} \right) +i\sin\stackrel{\stackrel{\theta }{\downarrow }}{\left( \frac{\pi }{4} \right)} \right]}\implies 6\left[ \frac{\sqrt{2}}{2}+i\frac{\sqrt{2}}{2} \right]\implies \cfrac{6\sqrt{2}}{2}+i\cfrac{6\sqrt{2}}{2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{rectangular form}}{\stackrel{\stackrel{a}{\downarrow }}{3\sqrt{2}}+\stackrel{\stackrel{b}{\downarrow }}{3\sqrt{2}}i}~\hfill[/tex]
How would you make this a fraction 1.67+2.82=__/__
Answer:
449/100
Step-by-step explanation:
1.67 + 2.82 = 4.49
4.49 = 4(0.01) + 49(0.01) = 449(0.01)
Multiplying 449 by 0.01 is the same as dividing 449 by 100
4.49 as fraction = 449/100
-Chetan
PLEASE HELP REWARDING A LOT
Answer:
(4,5)
Step-by-step explanation:
A box of donuts containing 6 maple bars, 3 chocolate donuts, and 3 custard filled donuts is sitting on a counter in a work office. Warren comes along and decides to eat two in a row. What is the probability that Warren will eat a chocolate donut and then a custard filled donut
Probabilities are used to determine the chances of selecting a kind of donut from the box.
The probability that Warren eats a chocolate donut, and then a custard filled donut is 0.068
The given parameters are:
[tex]\mathbf{Bars = 6}[/tex]
[tex]\mathbf{Chocolate = 3}[/tex]
[tex]\mathbf{Custard= 3}[/tex]
The total number of donuts in the box is:
[tex]\mathbf{Total= 6 + 3 + 3}[/tex]
[tex]\mathbf{Total= 12}[/tex]
The probability of eating a chocolate donut, and then a custard filled donut is calculated using:
[tex]\mathbf{Pr = \frac{Chocolate}{Total}\times \frac{Custard}{Total-1}}[/tex]
So, we have:
[tex]\mathbf{Pr = \frac{3}{12}\times \frac{3}{12-1}}[/tex]
Simplify
[tex]\mathbf{Pr = \frac{3}{12}\times \frac{3}{11}}[/tex]
Multiply
[tex]\mathbf{Pr = \frac{9}{132}}[/tex]
Divide
[tex]\mathbf{Pr = 0.068}[/tex]
Hence, the probability that Warren eats a chocolate donut, and then a custard filled donut is approximately 0.068
Read more about probabilities at:
https://brainly.com/question/9000575
how to find the circumference with a radius
Answer:
The perimeter or circumference of the circle can be found using the equation C=2π(r), where r= the radius of the circle. Since we have two semi-circles we can find the circumference of one whole circle with a radius of 4, which would be 8π.
Answer:
the circumference is pi*diameter. diameter is radius*2, and so (radius*2)*pi is the circumference
A pair of sunglasses is on sale 30% off. if the original cost of the sunglasses are $18, what is the sale price now?
Answer:
12.60
Step-by-step explanation:
I don't feel like explaining it, since I'm not good at giving detail sorry <3
Mrs lee bought four times as many ties as wallets. He spent $840 altogether. A wallet cost $50 more than a tie. The total cost of the ties was $184 more than the total cost of the wallets. How many wallets did he buy?
Answer:
wa
at you ım prenses
Step-by-step explanation:
you ind soluk
what is the LCM of 11 and 7
Answer:
77
Step-by-step explanation:
Hi! I think the answer is 77 because 7 times 11 = 77. Sorry if this isn't what ur looking for - Have a good day!
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{MULTIPLES OF 7 \& 11 }\huge\boxed{\downarrow}[/tex]
[tex]\bullet\ \large\boxed{\frak{7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, \ \& \ 91}}\\\bullet \ \large\boxed{\frak{11: 11, 22, 33, 44, 55, 66, 77, 88, \ \& \ 99}}[/tex]
[tex]\huge\boxed{\star\ \frak{7\times11 = 77\ }\star}[/tex]
[tex]\huge\text{Therefore, your answer is: \textsf{77}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The expression on the left side of an equation is shown below. -6x+6=0 If the equation has an infinite number of solutions, which expression can be written in the box on the other side of the equation? 06 0 1 O 6x 6x6l
Answer:
I think 0
Step-by-step explanation:
Which expression finds the length of side y in this right triangle?
Answer:
y = [tex]\sqrt{19^2} + \sqrt{8.2^2}[/tex]
Step-by-step explanation:
Pythagorean Theorem : a² + b² = c²
19² + 8.2² = c²
c = [tex]\sqrt{19^2 + 8.2^2}[/tex]
c = [tex]\sqrt{19^2} + \sqrt{8.2^2}[/tex]
-Chetan K
Plz help I need help
find the angle pls it's just 1 question
Answer:
70°
Step-by-step explanation:
isoceles so base angles are 55
55+55 is 110 so 180-110 is 70
Answer:
if the triangle is isosceles
Step-by-step explanation:
traingle angles= 180°
isosceles traingle= base angles are equal
180°-55°-55°= 70°
solve the following question
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
Question 1
2 pts
A game uses a single 6-sided die. To play the game, the die is rolled one time, with the
following results:
• Even number = lose $7
1 or 3 = win $2
5 = win $8
.
.
Answer:
sorry 400
Step-by-step explanation:
Find the equation of the line shown!!!
Answer:
y = x + 6
Step-by-step explanation:
HELOOOOOOO HELPPPPPPPPP
Answer:
e would be 130 because its vertical angles and it has to add up to 180 so f would be 50 im not sure about d yet
Answer:
e = 130º it's a vertical angle
f = 50º it's supplementary to 130º
d = 90º it's a right angle
Given: y || 2
Prove: m5+ m2+ m6 = 180°
L
A
M
1 1
23
y
4
5
6 7 z
С
B
The relationships between angles formed by two parallel lines having a common a transversal include, alternate interior, vertically opposite, corresponding, alternate exterior, same side, interior and exterior
The correct option for the missing reason in step 3. is as follows;
Alternate interior angles are congruent
The reason the above option is correct is as follows:
The given parameters are;
Line y is parallel to line z
The figure ABC forms a triangle
The two column proof is presented as follows:
Statement Reason
1. ABC is a triangle 1. Given
2. lines y and z are parallel 2. Given
3. ∠1 is congruent to ∠5; ∠3 ≅ ∠6 3. Statement reason required
∠3 is congruent to ∠6
4. m∠1 = m∠5; m∠3 = m∠6 4. By definition of congruency
5. m∠1 + m∠2 + m∠3 = m∠LAM 5. By angle addition Postulate
6. m∠1 + m∠2 + m∠3 = 180° 6. Angles on a straight line
7. m∠5 + m∠2 + m∠6 = 180° 7. Substitution (property)
Required:
The reason for the statement ∠1 ≅ ∠5; ∠3 ≅ ∠6
Solution:
From the attached diagram for the question, we have that angle ∠1 and angle ∠5 on line AC and ∠3 and ∠6 on line AB are alternate interior on two parallel lines, and they are therefore, congruent.
Therefore
∠1 ≅ ∠5, and ∠3 ≅ ∠6 by alternate interior angles theorem which states that alternate interior angles, which are the pair angles formed in the inside face of two parallel lines crossed by a common and the common transversal but on either of the transversal, are congruent
Therefore, the missing reason in Step 3 is; Alternate interior angles are congruent
The holding period of property acquired by gift may begin on:
A. The date the property was acquired by the donor only.
B. The date of the gift only.
C. Either the date the property was acquired by the donor or the date of the gift.
D. The last day of the tax year in which the property was originally acquired by the donor.
Answer:
Step-by-step explanation:
Answer:
The answer is C. Either the date the property was acquired by the donor or the date of the gift.
Step-by-step explanation:
The donor's holding time is included in the holding period connected with the gain basis rule. The loss basis rule's holding period begins on the day of the donation.
JACK'S bag weighed 10.5
Pounds and William's bag
weighed 10.05 POUNDS.
Who's bag weighed more?
How much more did it
weigh?
th
The Buffaloes scored 20 pointo the first part of the game. The Buffaloes total score at
the end of the game was 35 points.
What is the approximate percentage of the points scored during second part of the
game?
A
15%
43%
C.
57%
D
85%
The approximate percentage of the points scored during the second part of the game is 43%
Given the total score at the second part of the game = 35 pointsScore at the first part of the game = 20 pointsAmount of score during the second part of the game = 35 = 20 = 15 points% score in the second part = 15/35 * 100
% score in the second part = 1500/35
% score in the second part = 42.85 ≈ 43%
Hence the approximate percentage of the points scored during the second part of the game is 43%
Learn more on percentage here: https://brainly.com/question/2236179
Fred needs 410 game markers to play with his classmates and their families math night. He has 96 red markers, 123 blue markers, 106 yellow markers, and 72 green markers. Does he have enough game markers to play the game?
Answer:
No
Step-by-step explanation:
the reason why i said nonis cause 96+123+106+72=397 which means he still needs 13 more
A boat is moored at a dock, as shown in the figure.
What is the length of rope A?
Note: The triangle formed is a right triangle.
8.3 ft
10.5 ft
12.3 ft
8.6 ft
Answer:
12.3
Step-by-step explanation:
i took the quiz
PLEASE HELP!!!
Given various values of the linear functions f (x) and g(x in the table, determine the y-intercept of (f − g)(x).
x −6 −4 −1 3 4
f (x) 20 14 5 −7 −10
g(x) −36 −26 −11 9 14
no links please
Answer:
Building linear equations for f and g, it is found that the y-intercept of (f - g)(x) is of y = 8.------------A linear function has the following format:[tex]y ...
Step-by-step explanation:Use the two points to compute the slope, m, then use one of the points in the form y=m(x)+b to find the value of b.
Answer:
bro its -4
Step-by-step explanation:
bc f(x) has y-intercept of 2 and g(x) has y-intercept of -6 so 9 (f-g)(x) would be 2-6 = -4
so the answer is actually (0, -4)..
Where is the blue point on the number line ?
Answer:
-20
Step-by-step explanation:
Answer:
-20
Step-by-step explanation:
one period is 5, so -5×4 = -20
Steven and his family ordered a meal that cost $136.50. Steven paid 14% sales tax and left a 20% tip on $136.50. What was the total cost?
Answer:
182.91
Step-by-step explanation:
First multiply the cost of the meal by the sales tax percentage as a decimal (.14)
[tex]136.50*.14=19.11[/tex]
Then multiply the cost of the meal before sales tax by the tip percentage
[tex]136.50*.2=27.30[/tex]
Then add the tip and the sales tax on top of the cost of the meal to calculate the total cost
[tex]136.5+19.11+27.3=182.91[/tex]
Can anyone plz help me out with this?
I am all mixed up
I also need to find the axis of symmetry as well.
Thanks for the help
I appreciate it
Answer:
Down here ↓↓↓↓↓
Step-by-step explanation:
(a) Does the Parabola open upward or downward
Upward - the open "space" is above the vertex, so it opens upward
(b) X and y intercepts
x - intercepts : where the graph touches the x - axis
x - intercepts = (2, 0) , (4, 0)
Warning, don't get it mixed up! X - intercepts have y - values of 0, and y - intercepts have x - values of 0
y - intercepts : where the graph touches the y - axis
y - intercepts = (0, 3)
(c) Vertex of the parabola
vertex: the point of symmetry
vertex : (4, -1)
(d) Axis of symmetry
axis of symmetry : x - value of vertex
axis of symmetry : x = 4
-Chetan K
DON’T SEND A LINK!
WHAT IS THE SLOPE OF THIS LINE
THE SLOPE IS NOT 4/1 OR 20/5
Answer:
slope = -4
Step-by-step explanation:
m=y2-y1/x2-x1
20-0/0-5
20/-5
= -4
HELP WITH GEOMETRY HOMEWORK ASAP!!!
Answer:
26°
Step-by-step explanation:
90°+64°+x°=180° (Sum of all the angles in a right angled triangle=180°)
154°+x°=180°
x°=180-154°
x°=26°