The actual weight of the mobile in grams is 194 grams.
What is Equation?In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
As broken scale shows a false weight that is always higher than the actual weight by the same number of grams.
When a mobile phone is put on the scale, the real weight will be 'x'
but it shows,
x+a= 202
When an headphone is put on the scale, the real weight will be 'y'
but it shows,
y+a=221
When the mobile phone and the headphone are put on the scale together, the weight is
x+y+a= 415
So,
x+221=415 [Since y+a= 221 grams]
x= 194 grams
The actual weight of the mobile phone in grams is 194 grams.
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Can you please help me at
a=3/5 b=4/5 c=?
Answer:
a=3/5 , b=4/5. ,.
c=5/5
c=5/5
=1
1. The first bus stop on a bus route is 4 miles from school. How
many yards is the first bus stop from school?
2040 yards
I need help with part 2 on this question (Screenshot)
So I have a 90.8 in a class the final is 15% of the grade there is a final worth 3.75% of the final grade and a final worth 11.25% of the final grade. I know I have to get a 87% in total on the final grade but what grade would I have to get on each test separately. What would be the worst possible grade I could get on both finals to still end up with a A.
Answer: I know this answe won't be that helpful but I'm pretty sure worsth you can get on both is like a high B. Its pretty hard to tell since you'll be dealing with like formative summative precentages and total point precentages or something But in my honest opinion seems like a high B on one and maybe like a 83-84 on the other.
the number of ducks living at the pond increased by 40%
What is the midpoint of AB?
Answer:
[tex](-4, -\frac{1}{2} )[/tex]
Step-by-step explanation:
A (-5, -4)
B (-3, 3)
We can apply the midpoint formula: [tex](\frac{-5 + -3}{2} , \frac{-4 + 3}{2} )[/tex]
[tex]= (-4, -\frac{1}{2} )[/tex]
hope this helped! :)
A survey asked 200 Grade 4 students about their reading preferences. Based on Graph #1, about how many of them would you expect prefer comic books?
I aded the graph
Answer:
D. 80
Step-by-step explanation:
The graph shows that about 3/8 ( 37.5% ) of the students enjoy comic books.
200 × .375 = 75
75 rounded to the nearest tens value is 80
The pencil is 10 cm long and the cup is 8 cm tall. Find the diameter of the base of the cup?
James is given the diagram below and asked to prove that ZD ZF. What
would be the missing step of the proof?
Given: DE = FE, and Eo forms the angle bisector of ZDEF.
Prove: ZD ZF
E
D
o
Reasons
Given
Statements
1. DEFE, EO forms the angle
bisctor of ZDEF
2.
3. EO EO
4. ADEO AFEO
5. ZD ZF
Definition of an angle bisector
Reflexive Property of Equality
SAS Congruency Theorem
Corresponding parts of congruent
triangles are congruent
O A. ZEDO ZEDO
O B. ZEDO: ZEFO
O C. ZDEO = ZFEO
O D. ZEOF ZEOD
Answer:
C, ∠DEO ≅ ∠FEO
Step-by-step explanation:
The bisector EO bisects the angle ∠DEF, an interior angle of ΔDEF.
This means the angle is divided into 2 equal angles.
⇒ ∠DEO ≅ ∠FEO
Please help me out! Need this done ASAP!
Answer:
a. power of a point
b. CE = 4.6
Step-by-step explanation:
a. the power of a point theorem states that BE*BC = BA*BD
b. using the equation above, find CE:
BE * 10 = 3 * 18
BE = 5.4
CE = BC - BE = 10-5.4 = 4.6
diring the repair the mechanics will need to connect a cable between chairs b and j, and then continue that cable to chair g. what is the anhle formed by the cable
The angle that will be formed by the cable based on the information given will be 15°.
How to calculate the angle?From the complete information, it's important to divide the total angle by 12. This will be:
= 360°/12 = 30°
Then, the relations that will be used will be:
= 1/2(60° - 30°)
= 1/2 × 30°
= 15°
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Which statements can be used to compare the characteristics of the functions? select two options. f(x) has an all negative domain. g(x) has the greatest maximum value. all three functions share the same range. h(x) has a range of all negative numbers. all three functions share the same domain.
The statements that can be used to compare the characteristics of the functions are:
g(x) has the maximum greatest value.h(x) has a range of all negative numbers.How to interpret the functions?From the table of values (see attachment), we have the following highlights:
f(x) has a range of all positive numbers.h(x) has a range of all negative numbers.g(x) has the maximum greatest value.The above highlights mean that, the true statements are b and d
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Answer:Its B,D
Step-by-step explanation: Yes
6a-2y>4
Solve inequality for y
in the figure, line segment AB, is tangent to the circle at point A
Answer:
AB = 12 in
Step-by-step explanation:
given a tangent and a secant from an external point to the circle, then the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant, that is
AB² = BC × BD = 8 × 18 = 144 ( take square root of both sides )
AB = [tex]\sqrt{144}[/tex] = 12
Answer:
AB = 12 in
Step-by-step explanation:
Theorem
When a secant segment and a tangent segment meet at an exterior point, the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
Secant: a straight line that intersects a circle at two points.
Tangent: a straight line that touches a circle at only one point.
Given:
Secant segment = BDExternal secant segment = BCTangent segment = AB[tex]\sf AB^2=BD \cdot BC[/tex]
[tex]\implies \sf AB^2=(8+10) \cdot 8[/tex]
[tex]\implies \sf AB^2=18 \cdot 8[/tex]
[tex]\implies \sf AB^2=144[/tex]
[tex]\implies \sf AB=\pm\sqrt{144}[/tex]
[tex]\implies \sf AB=\pm 12[/tex]
As distance is positive, AB = 12 in
A shirt that was selling for $80 is reduced to $60. Find the percent decrease in price.
Answer:
25% decrease
Step-by-step explanation:
Percentage Decrease = [(Start Value - Final Value) / |Start Value|]×100
80 - 60 = 20
20 / 80 = 0.25
0.25(100)= 25%
The area of undeveloped land in a suburban town is decreasing at a rate of 17.3% annually. in 2016, there were 3,400 acres of undeveloped land. if t represents the number of years since 2016, which equation can be used to determine after how many years the town will have 900 acres of undeveloped land remaining?
Based on the rate of decrease and the acres of undeveloped land, the equation to determine the number of years till 900 acres is remaining is B)900 = 3,400(0.827)^t.
Which equation shows the number of years till 900 acres are remaining?As 900 acres is the target number of acres to remain, this will be on the left side of the equation as the y value.
The right side of the equation would be:
= Current number of acres remaining x ( 1 - rate of decrease) ^ number of years
= 3,400 x ( 1 - 17.3%) ^ number of years
Putting them together:
900 = 3,400(0.827)^t.
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At a park, the logging trail is a circle with a radius of 200 meters. how far is it around the trail? use 3.14 or pi. show your work
Answer:
400π
Decimal Form:
1256.63706143
Explanation: To find the around the trail, you'll use the circumference formula.
2πr
2 x 3.14 x 200
Please I'm serious no time for nonsense
Draw (3) Convex Polygons & (3) Non- polygons .
Answer & step-by-step explanation:
Convex: Triangle, Square, Pentagon. (Has to be equal sided and angled)
Non-Convex: Draw a weird shape, such as a deformed star, a 5 sided shape with no equal sides, such as these listed below:
solve this using pythagorean theorem please and give me the right answer and i will give YOU brainliest and a like in return.
Answer:
6.8 miles
Step-by-step explanation:
a^2+b^2=c^2
The triangles are similar by the AA Similarity Postulate. Find the value of x.
The circumference of the target above is 6,575.16 mm. What is the diameter of the target? Use = 3.14.
What is the percentage of 20 from 400?
(20/400)×100
5%
hope it helps...!!!
Answer:5%
Step-by-step explanation:
40 is 10% so then you half that which is 20=5%
CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION !!
3 √5 + 15 √5
Answer:
18√5 or Decimal Form: 40.24922359…
Step-by-step explanation:
Is it possible to draw a triangle with side
lengths 6, 3, and 5?
Yes..
Add 2 sides together and if it’s larger than the 3rd side it’s possible
6 + 3 = 9, which is larger than 5
3 + 5 =8 which is larger than 6
6 + 5 = 11 which is larger than 3
Answer:
YESStep-by-step explanation:
The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.
so
6+3=9
6+5=11
3+5=8
yes it is possible
A party-favor bag must have a volume of 140 cubic inches and the dimensions that are shown below. The equation 23 + 6,2 - 27x= 140 can be used to find x. Height: (x+9) in. Width: (2 - 3) in Length: xin. What are the dimensions of the party-favor bag? Use a graphing calculator and a system of equations to find the answer. O The length is 7 inches, the width is 4 inches, and the height is 16 inches. O The length is 5 inches, the width is 2 inches, and the height is 14 inches. O The length is 4 inches, the width is 1 inch, and the height is 13 inches. O The length is 3 inches, the width is O inches, and the height is 12 inches.
For this case we have the following equation for the volume:
[tex]x^3+6x^2-27x=140 < br/ >[/tex]
Rewriting the equation we have:
[tex]x^3+6x^2-27x=140=0 < br/ >[/tex]
We factor the equation to find the roots of the polynomial.
We have then:
[tex](x-5)(x+4)(x+7)=0 < br/ >[/tex]
Then, we discard the negative roots, because the dimensions of the figure must be positive.
We have then that the length is:
[tex]x=5 < br/ >[/tex]
The height is:
[tex]x+9=5+9=14 < br/ >[/tex]
The width is:
[tex]x-3=5-3=2 < br/ >[/tex]
Thus, the dimensions are:
[tex]5*14*2 < br/ >[/tex]
Answer:
The length is 5 inches, the width is 2 inches, and the height is 14 inches.
Tickets to the play cost $5.00 for adults and $3.00 for kids. The play sold 20 tickets for a total of $76. How many kids and adults attended the play?
The number of adults =16 and the number of kids =4
It takes 10 people 15 hours to prepare the gym for the school dance. How many hours would it take 12 people to prepare the gym?
Answer
18 hours
Step-by-step explanation:
if 10 people spend 15 hours
one person spend 15/10=1.5
so 1.5 × 12=18hours
Part 2: Approximately what value of will give her a box with the greatest volume? Explain your reasoning.
( only need part 2 already have part one thx)
The value of x that gives the box the greatest volume is approximately 2.08
How to determine the value that gives the greatest volume?The equation of the volume of the box is given as:
V(x) = x(12 - 2x)(13 - 2x)
Expand
V(x) = (12x - 2x^2)(13 - 2x)
V(x) = 156x - 24x^2 - 26x^2 + 4x^3
V(x) = 156x - 50x^2 + 4x^3
Differentiate the function
V'(x) = 156 - 100x + 12x^2
Set to 0
156 - 100x + 12x^2 = 0
Rewrite as:
12x^2 - 100x + 156 =0
Divide through by 4
3x^2 - 25x + 39 =0
Using a graphing calculator, the values of x are:
x = 2.08 and x = 6.26
Substitute these values of x in V(x)
V(2.08) = 2.08 * (12 - 2 * 2.08)(13 - 2 * 2.08) = 144.16
V(6.26) = 6.26 * (12 - 2 * 6.26)(13 - 2 * 6.26) = -1.56
The volume cannot be negative.
So, we have:
V(2.08) = 144.16
Hence, the value of x that gives the box the greatest volume is approximately 2.08
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Determine the period.
Acellus
Explanation:
One root (aka x intercept) is at x = 0
The next root over isn't clear, but luckily we can skip over it and see the next root after that is x = 5
After this point, the curve repeats itself. This means the period is 5 units.
The graph repeats itself every 5 units, aka the cycle is 5 time units long.
Find the area of a circular sector in cm² with angle 15° if the length of the intercepted arc is pi/2 cm
Answer:
0.52cm2
Step-by-step explanation:
l of Arc =tita/360×2πr
15/360×2×22/7×2
