No, Sam will not be able to finish the large hamburger if he only bites 20% of what is left.
What is the percentage?In mathematics, a percentage is defined as a figure or ratio expressed as a fraction of 100. The percent sign, "%," is commonly used to indicate it.
How to solve this problem?Let the size of the hamburger be 100 units.
Here, the first bite was 20% of the hamburger.
So the remaining portion of the hamburger is 100 - (100*(20/100)) = 80 units.
The second bite was 20% of 80%. Again the remaining portion is 80 - (80*(20/100)) = 80 - 16 = 64 units.
After the third bite, the remaining portion is 64 - (64*(20/100)) = 64 - 12.8 = 51.2 units.
After the fourth bite, the remaining portion is 51.2 - (51.2*(20/100)) = 51.2 - 10.24 = 40.96 units.
After the fifth bite, the remaining portion is 40.96 - (40.96*(20/100)) = 40.96 - 8.192 = 32.768 units.
...
Since the criterion is Sam will bite 20% of what is left, this remaining portion is never zero. It will always be a fraction like 0.00000000000001. Again we have to find 20% of 0.00000000000001 and subtract it from 0.00000000000001. So, It will continue.
Therefore, we can conclude that it is not possible for Sam to eat the big hamburger all if he will bite 20% of what is left.
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Question #19- Use the answer bank below to fill in missing parts of the proof.
Given: PQPR
Prove: QR
P
R
Answer:
∠MPQ ≅ ∠MPR: Reason; Corresponding parts of congruent triangles are congruent (CPCTC)
∠PQR ≅∠PRQ: Reason; CPCTC
Step-by-step explanation:
[tex]\overline{PQ}\cong \overline{PR}[/tex]: Reason; Given
Draw [tex]\overline{PM}[/tex] so that M is the midpoint of [tex]\overline{QR}[/tex]: Reason; Two points determine a line
[tex]\overline{QM}\cong \overline{RM}[/tex]: Reason; Definition of midpoint
[tex]\overline{PM}\cong \overline{PM}[/tex]: Reason; Reflexive property
ΔPQM ≅ ΔPRM: Reason; Side Side Side (SSS) rule for triangle congruency
∠MPQ ≅ ∠MPR: Corresponding parts of congruent triangles are congruent CPCTC
∠PQR ≅∠PRQ: CPCTC
Write the slope of DB
Answer: [tex]\frac{c - 0}{b-a}[/tex]
50 POINTS IF YOU GET THIS QUESTION!!! Find area of the following shape if the vertices are X=(1,1), Y=(2,5), Z=(5,5), W=(8,1)
Answer:
20
Step-by-step explanation:
To find area using coordinates, you would take the y-value of the first coordinate and the x-value of the second coordinate and multiply them. Then, take the x-value of the first coordinate and multiply it with the second y-coordinate. Take the second number and subtract it from the first number. for multiple coordinates, you would multiply the first and the second, the second and the third, and so on. Once you reach the last coordinate, just multiply it by the first again. then, take all of the numbers, from multiplying your coordinates and add them together and divide them by 2 to find your area.
We would start with coordinate (8,1) here because it's letter variable is W, which is first of the others alphabetically.
(8,1) (1,1)
1 x 1 = 1
8 x 1 = 8
1 - 8 = -7
next coordinate:
(1,1) (2,5)
1 x 2 = 2
1 x 5 = 5
2 - 5 = -3
next:
(2,5) (5,5)
5 x 5 = 25
2 x 5 = 10
25 - 10 = 15
next:
(5,5) (8,1)
5 x 5 = 40
5 x 1 = 5
40 - 5 = 35
-7 - 3 + 15 + 35 = 40
40/2 = 20
Answer:
[tex]\boxed{\mathrm{view \: attachment}}[/tex]
Step-by-step explanation:
The rectangular prisms below have the same size and shape.
What is the combined volume, in cubic inches, of the prisms?
A: 8
B: 16
C: 32
D:64
For which set of data will the scatter plot represent a positive linear association between x and y?
O Set A
O Set B
O Setc
O Set D
PLEASE HELP ME
Answer:
Set C
Step-by-step explanation:
Answer:
The answer is Set B
Step-by-step explanation:
Positive linear association goes from left to right and in a straight line. If you put the information into a scatter plot, the line moves in the positive direction and is in a straight line. (In a scatter plot, x goes across the bottom and y is vertical.)
Which is a characteristic of a studio apartment?
a)typically has multiple bedrooms
b)has multiple floors
c)has multiple units in the same building
d)has one room for the kitchen, living room, and bedroom
Answer:d
its a apartment thats just one big room
which choice is equivalent to the product below when x≥x
Answer:
B.
Step-by-step explanation:
If you dont understand what I wrote, just ask!
Answer:
B
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
[tex]\sqrt{6x^2}[/tex] × [tex]\sqrt{3x}[/tex]
= [tex]\sqrt{18x^3}[/tex]
= [tex]\sqrt{9(2)x^2(x)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] × [tex]\sqrt{x^2}[/tex] × [tex]\sqrt{x}[/tex]
= 3 × [tex]\sqrt{2}[/tex] × x × [tex]\sqrt{x}[/tex]
= 3x × [tex]\sqrt{2}[/tex] × [tex]\sqrt{x}[/tex]
= 3x[tex]\sqrt{2x}[/tex] → B
what is the slant height for given pyramid to the nearest to the whole unit?
A 7 cm
B 5 cm
C 9 cm
D 8 cm
Answer:
B 5 cm
Step-by-step explanation:
The bottom leg of the shaded triangle is 1/2 of the length of the side, so is 3 cm. The vertical leg of the shaded triangle is the height of the pyramid, given as 4 cm.
The slant height is the hypotenuse of the shaded triangle, so can be found from your knowledge of the 3-4-5 triangle, or from the Pythagorean theorem.
If s is the slant height, then ...
s^2 = 3^2 + 4^2 = 9 +16 = 25
s = √25 = 5
The slant height is 5 cm.
A piggy bank contains only nickels, dimes, and quarters. There is a total of 105 coins and the total value of those coins is $10.75. Find a general solution of the number of each coin. List three possible specific solutions.
Find the value of x in the question
Answer:
x=52
Step-by-step explanation:
r=90 s=34 q=180-(90+34)
180-(90+34)=56
to find angle sqr
180-56=124
124=x+72
52=x
Answer:
x = 52
Step-by-step explanation:
→We are given an exterior angle (outside of the triangle) as (x + 72). We are also given two interior angles as 34 and 90. The sum of the two farthest interior angles away from the exterior, is equal to the exterior. So this means that ∠R(90°) + ∠S(34°) = ∠PQS(x + 72), and we can set up the equation like that:
90 + 34 = x + 72
→Add like terms (90 and 34):
124 = x + 72
→Subtract 72 from both sides:
52 = x
peta has 4 friends now. last year she had 12. what is the percent of change?
Answer:
we simply see 4 has multiplied by -3
-12 = 4 x -3
This becomes -300%
We then add the 100 = initial amount onto a negatove percentage = -300 +100 = -200% change.
Step-by-step explanation:
3.00 x 4 = 12
4 + 8 = 12
4 x -2.00 = -8 being the change. The answer is -2.00 = -200%
Shows part of the answer and proves the answer is -200%
Consider the statement P: x + 9 = 10. Which of the following is an equivalent statement? Question 13 options: A) R: x > 0 B) Q: x – 9 = 10 C) S: x = 1 D) ∼P: x + 9 ≠ 10
Answer:
C) S: x = 1
Step-by-step explanation:
Answer:
C) S: x = 1
explination
What is f(5)
-8
-1
1
8
Answer:
f(5) = -8
Step-by-step explanation:
f(5) is the output value when the input value is 5
Reading the chart,
f(5) = -8
90 POINT QUESTION!!!
A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top of the ladder?
Use the function y=13cos(theta) to find the answer
Answer: 9.19 ft
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Sin α = opposite side / hypotenuse
Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the opposite side (x) is the height of the top of the ladder above the ground.
Replacing with the values given:
Sin 45 = x/ 13
Solving for x
sin45 (13) =x
x= 9.19 ft
Feel free to ask for more if needed or if you did not understand something.
Let M(x)=4x2−3x and N(x)=−5x3−6x2−3. Find M(x)−N(x)
Answer:
5x³+10x²-3x+3
Step-by-step explanation:
(4x²-3x) - (-5x³-6x²-3)
5x³+10x²-3x+3
If equations M(x)=[tex]4x^{2} -3x[/tex] and N(x)=[tex]-5x^{3}-6x^{2} -3[/tex] then M(x)-N(x)=[tex]5x^{3} +10x^{2} -3x+3[/tex].
What is equation?An equation is a relationship between two or more variables expressed in equal to form. It is often equated to find the values of variables. The form of an equation is ax+by=c.
How solve equations?We have been given M(x)=[tex]4x^{2} -3x[/tex] and N(x)=[tex]-5x^{3}-6x^{2} -3[/tex] and we have to find the difference between M(x) and N(x) and to solve them we have to open the brackets and add the coefficients of variable.
M(x)-N(x)=[tex]4x^{2} -3x-(-5x^{3}-6x^{2} -3)[/tex]
First we have to open the brackets.
=[tex]4x^{2} -3x+5x^{3}+6x^{2} +3[/tex]
Now we have to add the coefficients of same variable having same powers.
[tex]=5x^{3}+10x^{2} -3x+3[/tex]
Hence if M(x)=[tex]4x^{2} -3x[/tex] , N(x)=[tex]-5x^{3}-6x^{2} -3[/tex] then difference between {M(x)-N(x)} =[tex]5x^{3}+10x^{2} -3x+3[/tex].
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What is the maximum value?
Answer:
the maximum value is 3
Step-by-step explanation:
The maximum value of the function y = -2+5sin(pi/12(x-2)) is determined by taking the first derivative of the function. The first derivative is equal ( 5 pi/ 12 )* sin ((pi/12) (x-2)) = 0. x is equal to 4472 through the calculator. Substituting to the original equation, the maximum value is 3.
You accept a job as an environmental engineer that pays a salary of $45,000 in the first year. After the first year, your salary increases by 3.5% per year.
Write a rule giving your salary for your nth year of employment.
a ( n ) = ______
Answer:
a(n) = 45000 (1.035)n-1Answer:
a(n) is equal to $45,000
(1.035)n-1
Step-by-step explanation:
What is the value of this expression when c= -4 and d = 10?
(c+d2)
O A.
2.
OB.
9
Ос.
21
OD. 41
Answer:
[tex]c + d^2 = 96[/tex]
Step-by-step explanation:
Given
[tex]c = -4\\d = 10[/tex]
Required
Find [tex]c + d^2[/tex]
To find [tex]c + d^2[/tex], we simply substitute 10 for d and -4 for c in the given expression.
The step is as follows:
[tex]c + d^2[/tex]
Substitute [tex]c = -4\\d = 10[/tex]
[tex]c + d^2 = -4 + 10^2[/tex]
[tex]c + d^2 = -4 + 10*10[/tex]
[tex]c + d^2 = -4 + 100[/tex]
[tex]c + d^2 = 96[/tex]
The expression cannot be solved any further; so, we can conclude that when d = 10 and c = -4, [tex]c + d^2 = 96[/tex]
Casey has a litter of 5 puppies and 3 of them are gray. At this rate, how many puppies would be gray in a litter of 30 puppies?
Answer:
18 gray puppies
Step-by-step explanation:
Think of this as finding equivalent fractions/ratios. 3/5 puppies are gray. what over 30 puppies would be gray? to find 3/5=?/30, you multiply the numerator and denominator by 6. 3 times 6 is 18.
If g(x) = -4x + 5, find g(x+4).
Answer:
g(x + 4) = -4x - 11
Step-by-step explanation:
Since g(x) = -4x + 5, g(x + 4) = -4(x + 4) + 5
g(x + 4) = -4x - 11
If m∠9 ≅ 95°, find m∠14. answers: Question 5 options: 85° 95° 90° 88°
Answer:
Option (1). 85°
Step-by-step explanation:
From the figure attached,
'l' and 'm' are the parallel lines and line 'n' is a transverse.
Since, m∠9 ≅ m∠13 [These angles are the corresponding angles]
Therefore, m∠13 = 95°
Since, m∠13 + m∠14 = 180° [Supplementary angles]
Therefore, 95° + m∠14 = 180°
m∠14 = 180° - 95°
m∠14 = 85°
Therefore, 85° will be the measure of angle 14.
Option (1) will be the answer.
why are triangles congruent ?
Explanation:
Basically triangles are congruent when they have the same shape and size.
Two triangles are congruent if they have :
exactly the same three sides and
exactly the same three angles.
Tips Area :
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent too :)
If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent too ;)
If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent too ^^
Hope that help :)
What has to be added to the sum of 4/7 and 7/4 to get 3?
Answer:
if you add 1 u get 3
Step-by-step explanation
Answer:
[tex]0.67858[/tex]
Step-by-step explanation:
[tex]\frac{4}{7}+\frac{7}{4}\\\mathrm{For}\:\frac{4}{7}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:4\\\frac{4}{7}=\frac{4\cdot \:4}{7\cdot \:4}=\frac{16}{28}\\\mathrm{For}\:\frac{7}{4}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:7\\\frac{7}{4}=\frac{7\cdot \:7}{4\cdot \:7}=\frac{49}{28}\\=\frac{16}{28}+\frac{49}{28}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{16+49}{28}[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:16+49=65\\=\frac{65}{28}\\\mathrm{Decimal:\quad }\:2.32142\\3-2.32142=0.67858[/tex]
Classify the following triangle. Check all that apply.
Answer:
B.
F.
Step-by-step explanation:
Look at the angle. It is obtuse so the triangle is obtuse.
The sides are congruent so it is an isosceles.
Answer:
B,F
Step-by-step explanation:
sides are equal.
One angle=104°>90°
so itis an isosceles obtuse triangle.
Find the median of both you and your friend’s basketball scores. Who’s score is greater? By how much?
Answer:
Find the number in the middle
First list the number from smallest to greatest
6,8,10,10,12,14,14,16,16,18,18,20,20,22
Find which one is in the middle
16 and 16 are the two middle numbers. There is two middle numbers because there is an even amount of numbers
If there are two middle numbers find the average
Do (X+Y) / 2
16+16 = 32
32 / 2 = 16
16 is the median for your score
Do the same to your friend's score
2,8,8,10,10,10,12,12,12,12,14,14,14,16,16
12 is the middle because there is 7 numbers to the left and right so 12 is the median.
Your score is greater by 4 because 16 - 12 = 4.
Hope this helps
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST
Tell the slope and y-intercept of the graph of this linear equation
-3x + 2y = 8
(the slope is a fraction)
Answer:
The slope is 3/2 and the y intercept is 4
Step-by-step explanation:
We want to write in the form
y = mx+b where m is the slope and b is the y intercept
-3x+2y = 8
Add 3x to each side
-3x+3x+2y = 3x+8
2y = 3x+8
Divide each side by 2
2y/2 = 3x/2 + 8/2
y = 3/2x +4
The slope is 3/2 and the y intercept is 4
Simplify by dividing 3/5 ÷ (-9/4)
Answer:
4/15
Step-by-step explanation:
You would have to multiply the fractions, but first reciprocate the dividend.
3/5 * 4/9
Multiply
3 * 4 = 12
5 * 9 = 45
12/45
Simplify using LCM, or the factor that applies to both sides which in this case is 3
12/3 = 4
45/3 = 15
The answer is 4/15
Answer:
4/-15
Step-by-step explanation:
[tex]\frac{3}{5}[/tex] ÷ [tex]\frac{-9}{4}[/tex]
Invert the second fraction and multiply
[tex]\frac{3}{5}[/tex] ×[tex]\frac{4}{-9}[/tex]
= [tex]\frac{12}{-45}[/tex]
Simplify:
=[tex]\frac{4}{-15}[/tex]
sarah wants to open up her own coffee shop. It costs her $3 to make each cup of coffee, plus she has to pay a $24 renter's fee for her shop. She sells the coffee for $5 per cup. How many cups of coffee does she has to sell before she can start making a profit? *
Answer:
5
Step-by-step explanation:
So you divide 24 by 5 and you get 4.8 so you round it up to 5
Which of the following equations is of a parabola with a vertex at (3, 0)?
Oy=x^2+3
o y=x^2-3
Oy= (x+3)^ 2
y=(x-3)^ 2
Answer:
D. y = (x - 3)²
Step-by-step explanation:
The parabola formula in vertex form is:
y = a(x - h)² + k
where the vertex is located at (h, k). Replacing with vertex (3, 0) we get:
y = a(x - 3)² + 0
y = a(x - 3)²
In all possible options the leading coefficient a is equal to one. Therefore:
y = (x - 3)²
(4a^4)^2 write without exponents
Answer:
16 a^8 = 16aaaaaaaa
Step-by-step explanation:
(4a^4)^2
We know (xy)^z = x^z y^z
4^2 a^4^2
16 a^4^2
We know a^b^c = a^(b*c)
16 a^(4*2)
16 a^8
