Answer:
the 6 lane track will be 0.64 feet wider than the 7 lane track
Step-by-step explanation:
28.68÷6=4.78
28.98÷7=4.14
4.78-4.14=0.64
-6x+3y=-21
write in slope-intercept form: y=mx+b please and show work!
there is a 30% sale today. what would the shoes that normally cost $125 now cost?
Answer:
$37.50
Step-by-step explanation:
$125 times30%=$37.50
There are two polygons. The larger one has three times as many sides as the smaller one.
Its angle sum is four times as big. How many sides does the smaller polygon have?
Answer:
Step-by-step explanation:
There are two polygons. The larger one has three times as many sides as the smaller one. Its angle sum is four times as big. How many sides does the smaller polygon have? (Need full solution)?
“Three times as many sides” means the larger polygon has a multiple of 3 sides. 3 is the fewest sides any polygon can have, so it has not less than 9 sides.
Its angle sum is four times the smaller one’s. This applies to interior angles.
A triangle’s sum is 180. A square’s is 360. A pentagon’s is 540. Any sum will be a multiple of 180, and equal to the number of sides minus two, then multiplied by 180.
A hexagon has 6 sides, so 4×180=720 degrees sum. That part fits the triangle, but we know that can’t be the answer because 3×3=9.
So start at 9.
7×180÷4 can’t be a multiple of 180. What we need is a multiple of 3 which is 2 greater than a multiple of 4.
18 fits that description.
The 18-gon’s interior sum is 16×180=2880, divide that by 4 to get 720, which is the hexagon’s sum.
18÷6=3, so we have a solution. The smaller polygon can be a hexagon.
We should check the next one though. Multiples of 3: 21, 24, 27, 30, 33, 36, 39, 42 (every 4th multiple of 3 will be 2 more than a multiple of 4).
So the 30-gon:
28×180=5040
5040÷4=1260
1260÷180=7
7+2=9
9×3=27
Off by 3.
The 42-gon:
((((((42–2)×180)÷4)÷180)+2)×3)=36
Off by 6. It will keep getting farther away, so we have a unique solution.
A balalaika is a Russian stringed instrument. Show that the triangular parts of the two balalaikas are congruent for x = 6.
*the diagram of the Russian stringed instrument is attached below.
Answer/Step-by-step explanation:
To show that the traingular parts of the two balalaikas instruments are congruent, substitute x = 6, to find the missing measurements that is given in both ∆s.
Parts of the first ∆:
WY = (2x - 2) in = 2(6) - 2 = 12 - 2 = 10 in
m<Y = 9x = 9(6) = 54°.
XY = 12 in
Parts of the second ∆:
m<F = 72°
HG = (x + 6) in = 6 + 6 = 12 in
HF = 10 in
m<G = 54°
m<H = 180 - (72° + 54°)
m<H = 180 - 126
m<H = 54°
From the information we have, let's match the parts that are congruent to each other in both ∆s:
WY ≅ FH (both are 10 in)
XY ≅ GH (both are 12 in)
<Y ≅ <G (both are 54°)
Thus, since two sides (WY and XY) and an included angle (<Y) of ∆WXY is congruent to two corresponding sides (FH and GH) and an included angle (<G) in ∆FGH, therefore, ∆WXY ≅ ∆FGH by the Side-Angle-Side (SAS) Congruence Theorem.
This is enough proof to show that the triangular parts of the two balalaikas are congruent for x = 6.
what will you get when you round the number 90 in tens and hundreds
Answer:
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Step-by-step explanation:
Answer:
I think it's 100
Step-by-step explanation:
90 rounded to nearest ten is 90, and 90 rounded to the nearest hundred is 100
Please help! It’s already late! Help asap!
Answer:
D
explain:
attachment
Answer:
The answer is x = 6.
Step-by-step explanation:
The middle line is 2, and the leg is [tex]\sqrt{13}[/tex]. We can use the pythagorean theorem and use [tex]\sqrt{13}[/tex] as the hypotenuse and have 2 be a leg.
[tex]a^{2} + b^{2} = c^{2} \\\\2^{2} + b^{2} = \sqrt{13}^{2}[/tex]
[tex]4 + b^{2} = 13\\\\b^{2} = 9\\b = 3[/tex]
Since we know one of the bottom parts of x is 3, and the other triangle is the same as the on we solve, we do 3 + 3 which is 6. 6 is equal to x.
#teamtrees #WAP (Water And Plant)
Find the sum of of a series, I’ll give brainliest if you got the correct answers :)
Can you please tell me which one it is?? its okay if not
Answer:
estimate
Step-by-step explanation:
BRAINLIEST PLSSSSSSS PSLPSLSSLSSS
Answer:
estimate
Step-by-step explanation:
because when we estimate it will give us a value close to the exact value.
Write an expression for the sequence of operations described below. add b to a, then multiply 9 by the result Do not simplify any part of the expression.
Answer:
9a+9b
Step-by-step explanation:
Add b to a and multiply 9 by the result without simplifying any part of the expression.
Not simplifying an expression in algebra means not organizing or grouping like terms in the algebraic expression in such a way as to make it more understandable. It is not required in this case. Hence,
We add b to a
=a+b
We multiply 9 by the result
=9 * a+b
=9(a+b)
= 9a+9b
Pls help show work please
Write the equation of the line fully simplified slope-intercept form. help
Answer:
y = 4x -8
Step-by-step explanation:
The y intercept is -8 so our b term for y = mx + b is 8.
The line goes up 4 y values every one x value to the right
Answer:
y = 3x - 8
Step-by-step explanation:
To write the equation of the line in slope-intercept form, or y = mx + b, we have to find the y-intercept (b) and the slope(m).
To find the y-intercept, look at the graph at find where the line intercepts the y-axis. On this graph, the line intercepts at y = -8. Now we know the value of b.
To find the slope, look at the rise over run between two points. The line goes up by 3 every time it goes over 1. this means that our slope is 3.
Now we can input the values of the slope and the y-intercept into the equation.
y = 3x - 8
I hope this helps :)
Heyy! What's the answer to this!?!? so far i got 1 out of 2 makrs so im like.. stuck but yehh
YYY, GYY, YGY, YYG, GGY, YGG, GYG, and GGG should be the answer
Answer:
yyy ggg gyy ygg ggy yyg ygy gyg
Step-by-step explanation:
Please Help! Thank you in advance!!
Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?
Possible answers:
a dilation with a scale factor less than 1 and then a reflection
a dilation with a scale factor less than 1 and then a translation
a dilation with a scale factor greater than 1 and then a reflection
a dilation with a scale factor greater than 1 and then a translation
Answer:
a dilation with a scale factor less than 1 and then a translation
Ok I need help: 1/3^3 and 2/5^4 (exponents)please help I need answers
Answer:
[tex]\frac{1}{27}[/tex] and [tex]\frac{16}{625}[/tex]... or [tex]\frac{1}{27}[/tex] and [tex]\frac{2}{625}[/tex]... read below!
Step-by-step explanation:
The first set of answers ([tex]\frac{1}{27}[/tex] and [tex]\frac{16}{625}[/tex]) were assuming that the problem was [tex](\frac{1}{3})^3[/tex] and [tex](\frac{2}{5})^4[/tex].
The second set of answers ( [tex]\frac{1}{27}[/tex] and [tex]\frac{2}{625}[/tex]) were assuming that the problem was [tex]\frac{1}{3^3}[/tex] and [tex]\frac{2}{5^4}[/tex] .
Please be clear in your notation next time!
The ratio of cats and dogs is 6:13. If there are a total 117 dogs, how many cats are there
Answer:
496
Step-by-step explanation:
I think
Maya will deposit $1,650 in an account that earns 5% simple interest every year. Her brother, James, will deposit $1,600 in an account that earns 8% interest compounded annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Compare and contrast the two siblings' accounts after four year
Answer:
Step-by-step explanation:
Step one:
given data
Maya
P=$1650
r=5%= 0.05
t= 4 years
The simple interest expression is
A=P(1+rt)
A=1650(1+0.08*4)
A=1650(1+0.32)
A=1650(1.32)
A=1650*1.32
A=$2178
James
P=$1600
r=8%= 0.08
t=4years
The compound interest expression is
A=P(1+r)^t
A=1600(1+0.08)^4
A=1600(1.08)^4
A=1600*1.360
A=$2176
After 4 years Mayas' balance is $2178
After 4 years James' balance is $2176
the difference is =2178-2176=$2
If h(x) = 5 for the function h(x) = 2x + 1, what is the value of x?
12
11
2
Answer:
x = 2 .
Step-by-step explanation:
Given : If h(x) = 5 for the function h(x) = 2x + 1, .
To find : what is the value of x?
Solution : We have given
h(x) = 5 for the function h(x) = 2x + 1,
Now plug the h(x) = 5.
2x + 1 = 5 .
On subtracting both sides by 1
2x = 5 -1 .
2x = 4
On dividing both sides by 2 .
x = 2 .
Therefore, x = 2 .
Plz mark brainliest
can someone please help me with a proof for this. you can use HL thereom, ASA, SSS, etc.
please write it as statements and reason like;
1. KL=NM 1. Given
Answer:
ΔKML and ΔNML have:
+)ML is a common edge
+) KL = NM
+)KL⊥ML, NM⊥ML => ∠KLM = ∠NML = 90°
=> ΔKML ≅ ΔNML (SAS)
Step-by-step explanation:
Can anybody give me the answer for this.. I have no idea how to do it and it would really improve my grade
Step-by-step explanation:
The question is to combine the equations, so we should add them.
- 2x -4y = -26
+ - 3x -3y = - 12
(same signs add, different signs subtract)
-5x -7y = -38
(in the question there are two boxes at the side of the eqaution you should put (+)sign there as youre adding them)
If this question was supposed to be subtracted it would give a while different ans)
Consider the scale drawing and actual drawing of an office.
A smaller rectangle has a length of 2.5 inches and width of 1.5 inches. A larger rectangle has a length of 5 yards and width of 3 yards.
Compare the scale drawing to the actual drawing. What information is needed to find the area?
1. The scale factor is
.
2. The area of the scale drawing is
.
3. To find the area of the actual drawing, multiply the area of the scale drawing by the
of the scale factor.
a)Scale factor is 72.
b)The area of the scale drawing is 3.75 square inches.
c)To find the area of the actual drawing, multiply the area of the scale drawing by 5184.
Length of the smaller rectangle =2.5inches
Width of the smaller rectangle = 1.5inches
So, the area of the smaller rectangle = 2.5*1.5 = 3.75 square inches.
Length of larger rectangle = 5 yards
Width of larger rectangle =3 yards
So, the area of the larger rectangle = 15 square yards = 15*36*36 = 19440 inches.
What is the scale factor?The scale factor is the factor by which the dimension of an object is enlarged.
a)Scale factor = dimension of the larger rectangle/ corresponding dimension of the smaller rectangle
Scale factor = 5 yards/ 2.5 inches
as we know that 5 yards equals 180 inches
So, scale factor = 180/2.5 = 72
b)The area of the scale drawing = 3.75 square inches.
c)Area of actual drawing/ area of scale drawing = 19440/3.75 = 5184
So, to find the area of the actual drawing, multiply the area of the scale drawing by 5184.
therefore, a)Scale factor is 72
b)The area of the scale drawing is 3.75 square inches.
c)To find the area of the actual drawing, multiply the area of the scale drawing by 5184.
To get more about scale factor visit:
https://brainly.com/question/25722260
Answer:
(A) 2
(B) 3.75
(C) square
Step-by-step explanation:
Got it right edge 2022
Quadratic functions. Did I do it right?
Answer:
1) The graph is opening upwards
2) Axis of symmetry is x=-2
3) Vertex: (-2, 1) minimum y=1
4) y intercept is (0, 9)
5) domain: x|x ∈ R (All real numbers)
6) Range y|y ≥ 1
if the cost of 8 mobile set is rs 40,000.how many mobile sets can be purchased for Rs 100,000
Answer:
20 mobile sets.
Step-by-step explanation:
Every mobile set costs:
40000 / 8
= 5000 Rs.
Therefore, for 100,000 Rs, the number of mobile sets that can be purchased is:
100,000 / 5000
= 20 mobile sets.
Hope this helped!
Find all real square roots of -100 if there is more than one answer separate them with commas if there are none, click on “None”
Answer:
None
Step-by-step explanation:
Square roots of negatives are imaginary numbers.
√-100=10iBut, i, √-1, is an imaginary number as the square root of negatives because if x•x=-1 (or any other negative), there would be no valid x.A parallelogram has an area of 240 square inches and a height of 12 inches. What is the measurement of the base?
I hope it is helpful for you .....
15 mm 8 mm What is the length of the hypotenuse? c= millimeters?
Answer:
C= 17mm
Step-by-step explanation:
Which of these representations could model the same relationship? Select ALL that apply
Answers:
*Top left chart*y=2x-1*Bottom left graph*Store is having a sale. every item is $2 and you get $1 off your totalI hope this helps and good luck!
Answer:
The one where it says a store is having....etc and the one below that where it puts a red dot evry 2 times
Step-by-step explanation:
one sixth of the students in a school marching band are in the percussion section, the percussion section has 6 students, how many students are in the marching band?
Answer:
36 students
Step-by-step explanation:
because if 1/6 is 6 students then you have to multiply the 6 by 6
Answer:Idk
Step-by-step explanation:
Identify the slope and y-intercept of the line for each equation.
7. y = -5x-3/4
8. y = 1/4x+5
Answer:
7. Slope = -5
Y-intercept = -3/4
8. Slope = 1/4
Y-intercept = 5
Step-by-step explanation:
y = mx + b
Slope = m
Y-intercept = b
Two of the top-grossing concert tours were by a jazz band and a rock band. Together the two tours visited 177 cities. The jazz band visited 91 cities more than the rock band. Taking into account the constraint that the rock band must visit no less than 50 cities, find how many cities each group visited and determine whether the solution is viable or nonviable.(1 point)
The jazz band visited 134 cities and the rock band visited 43 cities. The solution is viable.
The jazz band visited 134 cities and the rock band visited 43 cities. The solution is nonviable.
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is viable.
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is nonviable.
Answer: A.)
The jazz band visited 134 cities and the rock band visited 43 cities. The solution is viable.
Answer:
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is viable.
Step-by-step explanation:
The base of an isosceles triangle is a third as long as the two equal sides (each, not
combined). Write the perimeter of the triangle as a function of the length of the base.
Answer:
The perimeter is 7b
Step-by-step explanation:
An isosceles triangle has exactly two sides of the same length. Suppose we have an isosceles triangle with the base as the unequal side length of b.
The perimeter of the triangle is:
P = x + x + b = 2x + b
Being x the two equal side lengths.
It's given the base b of the triangle is one-third of any of the other sides, that is:
b = 1/3 x
Or, equivalently:
x = 3b
Thus, the perimeter of the triangle is:
P = 2x + b = = 2(3b) + b
P = 6b + b = 7b
The perimeter is 7b