Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon.
Step-by-step explanation:
360/2 = 180
therfore it has 180 sides
Gio wants to serve salad at the party. He will need one head of lettuce for every 6 guests who attend. Write an algebraic expression Gio could use to determine how much lettuce he needs. Gio finds out 18 people are coming to the party. Evaluate the expression for 18 guests
Answer:
a. y = x/6 b. 3 heads of lettuce
Step-by-step explanation:
a. Write an algebraic expression Gio could use to determine how much lettuce he needs
Since Gio needs one head of lettuce for every 6 guests who attend, then, the number of lettuce y needed for x guests is one head of lettuce/6 guests × x guests is y = 1/6 × x
= x/6
b. Gio finds out 18 people are coming to the party. Evaluate the expression for 18 guests
Since 18 guest come to the party, x = 6. So, y = x/6
= 18/6
= 3 heads of lettuce.
The container that holds the water for the football team is 1/4 full. After pouring in 10 gallons of water, it is 2/3 full. How many gallons can the container hold?
Answer:
[tex]x =24[/tex]
Step-by-step explanation:
From the question we are told that
Amount of water 1/4x
Gallons added 10
Amount of water after addition 2/3x
Where x is a full container
Generally the parameters above gives the equation
[tex]\frac{1}{4}x +10=\frac{2}{3}x[/tex]
Therefore
[tex]\frac{1}{4}x -\frac{2}{3}x =-10[/tex]
[tex]-\frac{5}{12}x =-10[/tex]
[tex]x =\frac{-10}{-\frac{5}{12}}[/tex]
[tex]x =24[/tex]
Therefore the container can hold 24 gallons of water
12 ÷ 4 x ___ = 12
im so confused on this question can you guys help
Answer:
Step-by-step explanation:
12/4 = 3
3 x 4 = 12
4 is the answer
Mary has a \large 16\frac{1}{2} ounce bag of chocolate chips. She will only use \large \frac{1}{4} of the bag for decorating a cake. How many ounces will she use for decorating
Answer:
4 1/8 ounces
Step-by-step explanation:
Total bag of chocolate chips Mary has = 16 1/2 ounces
She will only use 1/4 of the bag for decorating a cake.
How many ounces will she use for decorating
Ounces used in decoration = 1/4 of 16 1/2
= 1/4 × 33/2
= (1*33)/(4*2)
= 33/8
= 4 1/8 ounces of chocolate chips
She will use 4 1/8 ounces of chocolate chips for decorating a cake
PLEASEE HELP ASAP IM BEGGIMG YOUUUUUU
I WILL GIVE BRAINLIEST ASAP
Answer:
Below
Step-by-step explanation:
Problem 1
Blank 1 = 6
Blank 2 = 17
(5*3)+2
Blank 3 = 4
(4*1)
Problem 2
Blank 1= (-5)^3=-5*-5*-5=-125
Blank 2= 18
(6*3)
Blank 3= 12
(4*3)
A building is 200 feet high. One end of a wire is attached to the top of the building.
The other end is attached to the group 150 feet away from the base of the building. How
long is the wire?
Answer:
250 feet
Step-by-step explanation:
If you draw out this situation, you would get a right triangle with a height of 200 (feet) and a base of 150 (feet). The wire is the missing length, or the 'hypotenuse' of this right triangle. You use the pythagoras thingie, and the formula is a^2 + b^2 = c^2.
a= 200
b= 150
c= ?
40,000 + 22,500 = c^2
62,500 = c^2
c = √62,500
∴ c = 250
c=27+10h where c= cost in dollars and h= number of hours rented
Answer:
that help
Step-by-step explanation:
10h+27+−27=c+−27
10h=c−27
10h10=c−2710
h=110c+−2710
Answer:
h=110c+−2710
Which two grids have 25% shaded
Answer:
there's no grid provided
Someone pls pls answer this ill mark u brainliest
Answer:
[tex]m\angle CBD=35^{\circ}[/tex]
Step-by-step explanation:
Since there are [tex]180^{\circ}[/tex] on each side of a line and [tex]\angle ABC[/tex] is marked as a right angle, [tex]m\angle CBE=180-90=90^{\circ}[/tex].
[tex]m\angle CBE=m\angle DBE+m\angle CBD[/tex], and [tex]m\angle DBE[/tex] is given as [tex]55^{\circ}[/tex].
Therefore, we can plug in our values and solve:
[tex]90=55+m\angle CBD,\\m\angle CBD=\fbox{35^{\circ}$}[/tex].
expand and simplify (x-3)(2x+1)(3x-2)
Answer:
6x³ - 19x² + x + 6
General Formulas and Concepts:
Algebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
(x - 3)(2x + 1)(3x - 2)
Step 2: Expand
Expand [FOIL]: (2x² + x - 6x - 3)(3x - 2)Combine like terms: (2x² - 5x - 3)(3x - 2)Expand: 6x³ - 15x² - 9x - 4x² + 10x + 6Combine like terms: 6x³ - 19x² + x + 6Which expression results in a rational number
Given
A=√12
B= 4√3
c=√49
D=√100
(1) A+B
(2) B+C
(3) D+A
(4) C+D
Answer:
C and D give rational numbers, as the square root of 49 is ±7 and the square root of 100 is ±10.
James is solving a number puzzle that involves three integers, a, b, and c, where c
is a positive integer. The product of A and B is 6. The product of a and c is – 4.
The product of b and c is -6.
Please help!!!
Answer:
a = -2, b = -3, c = 2
Step-by-step explanation:
We have the following three equations.
ab = 6
ac = -4
bc = -6
Multiply equation 2 and 3, we get
abc^2=24
Dividing it by the first equation, we get
c^2=4
c=2 or -2 (rejected since c is a positive integer)
We can then substitute c=2 into the equations, and find out that a = -2 and b = -3.
Find the value of x.
12
2x
x=
Answer:
24x
Step-by-step explanation:
i hope this is correct! c:
The angle of elevation of the top of a flagpole from a point on the ground 30 meters
from the base of the flagpole is 18 degrees. What is the height of the flagpole, to the
nearest meter?
I need help
Answer:
[tex]10\:\mathrm{meters}[/tex]
Step-by-step explanation:
We can use trigonometry for a right triangle to solve this problem:
[tex]\tan 18^{\circ}=\frac{h}{30},\\h=30\cdot\tan 18^{\circ},\\h\approx \fbox{$10\:\mathrm{m}$}[/tex].
The height of the flagpole is 10 meters.
What is angle of elevation?"It is the angle from the horizontal upward to an object."
For given question,
Consider the following figure.
The angle of elevation is 18°
⇒ ∠ACB = 18°
Also, BC = 30 meters
We need to find the height of the flagpole i.e., we need to find the distance AB.
Consider a tan(∠ACB )
[tex]\Rightarrow tan(18^{\circ})=\frac{AB}{BC}\\\\ \Rightarrow 0.3249 = \frac{AB}{30}\\\\ \Rightarrow AB=9.747 ~~meters\\\\\Rightarrow AB\approx 10~~meters[/tex]
Therefore, the height of the flagpole is 10 meters.
Learn more about angle of elevation here:
https://brainly.com/question/21137209
#SPJ3
Plz help!! Meera is researching cruising speeds of different planes. Which airplanes has a greater cruising speed?
Answer:
The one on the graph
Step-by-step explanation:
Which of these curves on the graph below could indicate a function?
Answer:
A
Step-by-step explanation:
Vertical Line test will determine if a graph is a function or not
~Uh- ~ Hey ~ can ~ someone ~ help ~ me ~ out ~ once ~ again...?~
A circle has a radius of 6 meters. What is the circumference of the circle?
Answer:
The answer is option A
A) Circumference= 12[tex]\pi[/tex] m
Step-by-step explanation:
To find the circumference of a circle the formula you would use is C=2[tex]\pi[/tex]r
if the radius is 6 meters, C is
C = 2*6 [tex]\pi[/tex]r
C= 12[tex]\pi[/tex] m
easy question:
avery has 2 bananas and joshua has 5 apples, what is the ratio of bananas to apples?
Answer:
Answer is 2/5 , 2:5 , 2 to 5
Step-by-step explanation:
when it's asking for a ratio ur basically dividing
bananas/apples= 2/5
Answer is 2/5 , 2:5 , 2 to 5
Solve the system of equations by the substitution method.
y=5x+8 y=8x+9
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Answer:
whichever one corresponds with the answers you have will be right.
Penny makes $5,400 a month plus commission. She gets 3% of everything she sells. If Penny sold $62,000 worth of items this month, what is her salary for the month?
Answer:
Her salary for the month = $7260
Step-by-step explanation:
Given
Base Salary = $5,400 Amount sold = $62,000Percentage rate = 3%To determine
Salary for month = ?Given that Amount sold = $62,000 and Percentage rate 3%
so
Salary from commission rate = Amount sold × Percentage rate
= $62,000 × (3 / 100) = $1860
Thus, the total salary can be calculated by adding Base salary and Salary from the commission rate.so
Total salary = Base salary + Salary from commission rate
= $5,400 + $1860
= $7260
Hence, her salary for the month = $7260
Divide 3 1/2 divided by 1/2 in simplest form
Answer:
7
Step-by-step explanation:
For the problem:
3 1
2
÷
1
2
= ?
Convert any mixed numbers to fractions:
3 1
2
=
7
2
Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:
7
2
÷
1
2
=
7
2
×
2
1
Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:
7 × 2
2 × 1
=
14
2
The Greatest Common Factor (GCF) of 14 and 2 is 2. The result can be simplified by dividing both the numerator and denominator by 2.
14
2
=
14 ÷ 2
2 ÷ 2
= 7
The result is:
3 1
2
÷
1
2
= 7
Carlota’s smartphone contains 500 megabytes of data. She uses 300 megabytes for applications and the rest for music. If each song takes an average of 4 megabytes, which equations can be used to find the number of songs on Carlota’s smartphone? Select all that apply. A. 500−300=4n B. 500+300=4n C. 4n+300=500 D. 300−4n=500
Answer: A:500-300=4n and C:4n+300=500
Step-by-step explanation:
Evaluate the power.
0.4 2=____
Answer:
0.2
Step-by-step explanation:
Answer:
0.16
Step-by-step explanation:
Find X in this picture.
Answer:
x is in the top left of the triangle :)
Step-by-step explanation:
Answer:
its there....
Step-by-step explanation:
A culture of bacteria has an initial population of 39000 bacteria and doubles every 9 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 2 hours, to the nearest whole number?
Answer:
45495
Step-by-step explanation:
Answer:
10077
Step-by-step explanation:
A culture of bacteria has an initial population of 5400 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P
t
=P
0
⋅2
d
t
, where P_tP
t
is the population after t hours, P_0P
0
is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 9 hours, to the nearest whole number?
P_0=5400
P
0
=5400
The initial population
t=9
t=9
Time elapsed
d=10
d=10
The doubling time
P_t = P_0\cdot 2^{\frac{t}{d}}
P
t
=P
0
⋅2
d
t
P_t=5400\cdot 2^\frac{9}{10}
P
t
=5400⋅2
10
9
Plug in
P_t=10076.7563\approx10077
P
t
=10076.7563≈10077
Use parenthesis in the calculator for the exponent
Solve for x !!!!!!!!
plssss help ASAPPP!!!!!!!
Answer:
12
Step-by-step explanation:
you have to times 2 x 6 to find your x
I'm not for sure tho but I hope it's right
Which expression is equivalent to 13 - (-21)?
Choose 1 answers
А
13 +21
B
-21 - 13
-13 +21
D
-21 +13
HURRY
How do I find n in the the permutation equation of nP3 = 990
Answer:
n=11
Step-by-step explanation:
Permutations
The formula to calculate permutations is:
[tex]\displaystyle nPm=\frac{n!}{(n-m)!}[/tex]
We know nP3=990. Substituting:
[tex]\displaystyle nP3=\frac{n!}{(n-3)!}=990[/tex]
Expanding the factorial in the numerator:
[tex]\displaystyle \frac{n(n-1)(n-2)(n-3)!}{(n-3)!}=990[/tex]
Simplifying:
[tex]n(n-1)(n-2)=990[/tex]
This equation can be easily solved by inspection. The product of three consecutive numbers resulting 990. Starting from greatest to smallest, those numbers are 11,10, and 9, thus:
[tex]n(n-1)(n-2)=11*10*9[/tex]
It follows that n=11
m + 7 ≥ 20, if m = 11
Answer:
False;18 ≥ 20
Step-by-step explanation:
Add 11 and 7
The left side 18 is less than the right side 20 , which means that the given statement is false.
