Answer:
12$ per lawn mowed
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?
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.
Question 5 (1 point)
At the corner produce market, apples cost $2 each and
oranges cost $1 each.
Find the cost of:
a. 6 apples and 3 oranges:$
apples &
oranges
b. 4 apples and 4 oranges:$
apples &
oranges
c. 5 apples and 4 oranges:
apples &
oranges
d. 8 apples and 2 oranges:$ apples &
oranges
Blank 1:
Blank 2
Blank 3:
Blank 4:
Blank 5
Blank 6:
Blank 7
Blank 8:
Answer/Step-by-step explanation:
Unit cost of apple = $2 let each
Unit cost of orange = $1 per each
a. Cost of 6 apples = 6 × $2 = $12
Cost of 3 oranges = 3 × $1 = $3
b. Cost of 4 apples = 4 × $2 = $8
Cost of 4 oranges = 4 × $1 = $4
c. Cost of 5 apples = 5 × $2 = $10
Cost of 4 oranges = 4 × $1 = $4
d. Cost of 8 apples = 8 × $2 = $16
Cost of 2 oranges = 2 × $1 = $2
Calculate $x^{6} + (y^{2} \div z^3)\cdot w^3$ assuming that $x=2$, $y=3^2$, $z=3$, and $w=4$.
pleeeeeeease help i am struggling
Answer:
this copy and paste is to hard to read making it impossible to solve sorry.
Step-by-step explanation:
The value of the expression is 256.
What is simplification of an expression?Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.
For the given situation,
The expression is $x^{6} + (y^{2} \div z^3)\cdot w^3$
⇒ [tex]x^{6}(\frac{y^{2} }{z^{3} } )(w^{3} )[/tex]
Substitute $x=2$, $y=3^2$ = 9$, $z=3$, and $w=4$,
⇒ [tex]2^{6}(\frac{9^{2} }{3^{3} } )(4^{3} )[/tex]
⇒ [tex]64+(\frac{81}{27} )(64)[/tex]
⇒ [tex]64+(3)(64)[/tex]
⇒ [tex]64+192[/tex]
⇒ [tex]256[/tex]
Hence we can conclude that the value of the expression is 256.
Learn more about simplification of an expression here
https://brainly.com/question/13730519
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can someone please help me with math
Answer:
[tex]x = 71[/tex]
Step-by-step explanation:
The first step to do is make a single triangle from the problem. That triangle can be BDH. We do still need the line BE, although that can wait.
Now find the last angle of the triangle. The sum of angles of a triangle always equal 180, so we can easuly find the missing angle.
[tex]180 - 40 - 31 = 109[/tex]
So the missing angle is 109°. Now we can find the value of x.
We can use that angle because it sits right next to x on the same line. A line is 180° at any node as long as the line continues straight, so we simply subtract the angle we just found to find x.
[tex]180 - 109 = 71[/tex]
Now we know x is 71
A park contains 210 trees on 40 acres. What is rate of trees per acre at the park?
Answer:
the answer would be 210:40
Step-by-step explanation:
In a
group of 100 youths, the ratio of youths who like Android tablet and Ipad is 3:5. 1620 of them like
the tems and 40 of them like non of the items then by drawing a Venn diagram, find how many
dem like Android tablet only
Answer:
None of them like the android tablet
Six girls of differing heights are arranged in 2 rows of 3 each. Each girl is taller than the girl in front of her and also taller than the girl to her right. How many arrangements of the six girls are possible?
Answer:
5 possible ways
Step-by-step explanation:
Questions like this are a bit technical. Therefore, there are no perfect formula, all you have to do is picture the scene and count. Having said that. Let us use name the positions the girls are standing according to the question:
D E F
A B C
I have arranged this according to how the question has specified, meaning F is the tallest and A is the shortest if I take F to be at the back right and A to be at the front left.
In reality, A and F can never change their positions if we maintain the arrangement specified.
What we have left is to look for how to rearrange, D, E, B and C that will still make it fit the arrangement. Take note that E cannot be in front of B because she is taller than B.
Since positions for shortest and tallest are fixed, you are left with 4 people and you need two of them for the front position. This can be gotten using 4C2 = 6, but the two tall persons can't be in the front else it will disrupt the arrangement, so we have to eliminate that case which will occur once, therefore we have 5 possible ways we can make the arrangements as required.
For each ordered pair (x, y), determine whether it is a solution to the inequality 7x - 4y < 18.
Is it a solution?
Yes
No
(-3.2)
(8,9)
(-3,0)
(-2. – 8)
Answer:
(-2.-8) is the answer to the question
The solution of the inequality equation 7x - 4y < 18 will be (-2, -8) and yes, it has a solution.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
For each ordered pair (x, y), determine whether it is a solution to the inequality 7x - 4y < 18.
The equation is satisfied by the point (-2,– 8). Then we have
7x - 4y = 18
7(-2) - 4(-8) = 18
-14 + 32 = 18
18 = 18
More about the inequality link is given below.
https://brainly.com/question/19491153
Please I beg you help me
Answer:
Option D
Step-by-step explanation:
Going through the choices will help determine which option best simulates the random selection of a voter.
Flip a coin three times, and assign outcomes as follows: HHH, HHT, or HTH = Nava; HTT, THH, or THT = Jensen; TTH = Moretti, TTT = Chang.
Given that it is a random selection of the 4 candidates, it means the probability of choosing either one of them is equivalent. From the option, it can be found that Nava and Jensen have a higher chance of being voted than Moretti and Chang, which would not fit the criteria of being randomly selected.
Roll a number cube, and assign outcomes as follows: 1 or 2 = Nava, 3 or 4 = Jensen, 5 = Moretti, 6 = Chang.
Again, Nava and Jensen have a higher chance of being voted than Moretti and Chang. Therefore, this is not the correct option to simulate random selections of the 4 candidates.
Roll a number cube, and assign outcomes as follows: 1, 2, or 3 = Nava, 4 = Jensen, 5 = Moretti, 6 = Chang.
Nava has a higher chance of being voted, so this option does not fit the stimulation.
Flip a coin twice, and assign outcomes as follows: HH = Nava, HT = Jensen, TH = Moretti, TT = Chang
In this scenario, all 4 candidates have an equal chance of being voted, so this option would best simulate the random selection of a voter from the city.
Hope this helps :)
it is due in very soon and i don’t wanna fail math. can someone plz help. :/
Answer:
y= -1 , 0 , y = -2
x= 10 , infinity , x = 7
x= -4 , infinity , x= 7
The equation y-2= 5/4 (x + 8) represents the cost (in dollars) of making your own fruit juice (fluid ounces) a. What is the slope of the line? Interpret the slope in the context of this situation. b. Write the equation as a linear function (simplify to slope- intercept form). c. Use the linear function in part (b) to determine the base cost of making your own fruit juice.
Answer:
a. The slope is 5/4
b. The equation in slope and intercept form is y = 5/4·x + 12
c. The base cost of making a fruit juice is $12
Step-by-step explanation:
The equation that gives the cost in dollars of making your own fruit juice is given as follows;
y - 2 = 5/4·(x + 8)
a. The slope = The coefficient of x = 5/4
The slope = 5/4
b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;
y - 2 = 5/4·(x + 8)
y = 5/4·x + 10 + 2
y = 5/4·x + 12
c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12
The base cost of making a fruit juice = $12.
Answer:
a. The slope is 5/4
b. The equation in slope and intercept form is y = 5/4·x + 12
c. The base cost of making a fruit juice is $12
Step-by-step explanation:
The equation that gives the cost in dollars of making your own fruit juice is given as follows;
y - 2 = 5/4·(x + 8)
a. The slope = The coefficient of x = 5/4
The slope = 5/4
b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;
y - 2 = 5/4·(x + 8)
y = 5/4·x + 10 + 2
y = 5/4·x + 12
c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12
The base cost of making a fruit juice = $12.
Which equation represents a proportional relationship?
a y = 7x – 3
b y = 150x
c y = 21x
d y = 2x + 1
I am not certain but I think c? if its wrong sorry
is y=.75x+2 proportional or non proportional
Answer:
non proportional
Step-by-step explanation:
Given that
4x : 3= 11 : 5 Calculate the value of x
.
Step-by-step explanation:
[tex]1 \frac{13}{20} [/tex]
[tex]4x \3 = 11 \5 \\ \\ 20x = 33 \\ x = 33 \div 20 \\ = 1 \frac{13}{20} [/tex]
Complete Eduardo's definition of parallel lines: "If two coplanar lines are both perpendicular to a third line in the same plane, all of the angles formed between the two lines and the third line are "Explain your answer.
solve this please!!!!!
At local parks, bikes can be rented through Clarksville B-Cycle. They charge a $3 fee plus $2 an hour for renting a bike. Ryan's total bill for one day was $15 to rent a bike. How many hours did he have the bike checked out?
Answer:
7
Step-by-step explanation:
I please need help finding the value of x.
Answer:
x = 7
Step-by-step explanation:
If DF = FE , then m∠D = m∠E ⇒ 5x = 3x + 14
2x = 14 ⇒ x = 7
What is the answer to 4^8/4^3 in 4^n form
Answer:
4^5
Step-by-step explanation:
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[tex] \frac{ {4}^{8} }{ {4}^{3} } = {4}^{8} \div {4}^{3} = {4}^{8} \times {4}^{ - 3} = \\ [/tex]
[tex] {4}^{8 - 3} = {4}^{5} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
I need help on all of them :(
The following graph shows the proportional relationship between the cost and duration of a car rental.Which statements about the graph are true?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
The yyy-coordinate of point AAA represents the total cost of a 555-day car rental.
(Choice B)
B
The total cost of a 222-day car rental is \$90$90dollar sign, 90.
(Choice C)
C
None of the above
Answer:
The y-coordinate of point A represents the total cost of a 5-day car rental.
Step-by-step explanation:
For the graph x = 1 find the slope of a line that is perpendicular to it and the slope of a line parallel to it. Explain your
answer with two or more sentences.
7. Serene paid $35.01 to buy 9 hot dogs. How much did each hot dog cost?
Answer:$3.89
Step-by-step explanation:
divide 35.01 by 9 and then you get the answer $3.89
» What is 2 to the power of 0? Submit
Answer:
1
Step-by-step explanation:
Answer:
2⁰ power is equal to 1
Step-by-step explanation:
Any number with the exponent of 0 will always equal 1, no matter what the number is. Hope it helps!
Malik had 54 yards rushing. James had -12 yards rushing. How many more yards
does Malik have than James?
rashi borrowed rs 12000 from a bank . if the bank charges interest at the rate of 11 percent p.a. what amount will he pay to bank at the end of 3 years
chapter in math is comparing quantities need answer fast
will give full stars
Answer:
INTEREST=Rs 3960
Step-by-step explanation:
INTEREST=PTR/100
INTEREST=12000*3*11/100
INTEREST=3960
Answer:
rs 16411.57
Step-by-step explanation:
12000×11%÷100=1320
1320+12000=13320×11%÷100=
1465.20+13320=14785.20
14785.20×11%÷100%=1626.37
1626.37+14785.20=16411.57
Ans =16411.57
Divide. Write your answer as a fraction or mixed number in simplest form.
10 • 3 3/4
Answer:
37 1/2
Step-by-step explanation:
before you multiply you fractions you would have to change the mixed number into a improper fraction and then multiply your fractions together. once that is dont you would multiply they numerator straight across and multiply the denominator straight across. once that is done your answer should come out as 150/4 but that is a improper fraction and you have to change it into a mixed number which would be 37 2/4 but that can be simplified by 2 and once you simplify it your final answer would come out to be 37 1/2.
The required solution to the given expression is 37 1/2 in mixed number form.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
To determine the evaluation of expression 10 ÷ 3 3/4
When considering multiplying your fractions together, you would need to convert the mixed number into an improper fraction. After that, you would multiply the denominator across and the numerator across, respectively. Your final answer should be 150/4 after that, but since it is an improper fraction, you must convert it to a mixed number, which is 37 2/4. However, if you simplify it by 2, your final answer will be 37 1/2.
Thus, the required solution to the given expression is 37 1/2 in mixed number form.
To learn more about the division operation click here :
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11. Choose the correct solution and graph for the inequality.
Y+1/5>1/3
Answer:
[tex]y > \frac{2}{15} [/tex]
Which of the following tables can be generated from the equation y = 2x + 1?
a: x y
2 1
3 2
4 3
5 4
b: x y
-4 1
-2 -1
0 -3
2 -5
c: x y
1 3
2 5
3 7
4 9
d: x y
0 3
1 5
2 7
3 9
...
Answer:
Step-by-step explanation:
the tables can be gererated by placing the x and y values on the equation
Answer:
I believe the answer is B but not for sure
Step-by-step explanation:
The vertex of the parabola is (1,6).
Y=x^2- 2x - 5
O True
O False
Answer:
true ig
Step-by-step explanation:
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