[tex]\bull[/tex]Total number of seats in theatre = 4500
[tex]\bull[/tex]Total number of seats left vacant = 3105
Solution:-[tex]\longrightarrow[/tex]Number of seats occupied = Total number of seats in theatre - Total number of seats left vacant
[tex]\longrightarrow[/tex]Number of seats occupied
[tex]\quad[/tex]= 4500 - 3105
[tex]\longrightarrow[/tex] 1395
[tex]\\[/tex]
Now,
[tex]\begin{gathered}\bull \sf Percentage \:of \:seats \:filled = \frac{Seats \: filled \: by \:6th \:grader }{Total \:number \:of \:seats} \times 100 \% \\\end{gathered} [/tex]
[tex]\begin{gathered}\bull \sf Percentage \: of \:seats \: filled = \frac{1395}{45\cancel{00}} \times \cancel{100} \% \\\end{gathered} [/tex]
[tex]\begin{gathered}\implies\quad \sf \frac{1395}{45} \% \\\end{gathered} [/tex]
[tex]\begin{gathered}\implies\quad \sf 31 \% \\\end{gathered} [/tex]
[tex]\longrightarrow[/tex]Thus , 31 % of seats in the theater were filled by the 6th graders on the trip
Solve the equation:
[tex]6-(3w+1) = 8w-2[/tex]
Step-by-step explanation:
please mark me as brainlest
[tex]===================================[/tex]
Step 1:
Use the Distributive Property:
[tex]\hookrightarrow\sf{-(3w+1)=-3w-1}[/tex]
Hence, the equation is
[tex]\hookrightarrow\sf{6-3w-1=8w-2}[/tex]
Move 8w to the left side
[tex]\hookrightarrow\sf{6-3w-1-8w=-2}[/tex]
Combine Like Terms
[tex]\hookrightarrow\sf{6-3w-8w-1=-2}[/tex]
Simplify
[tex]\hookrightarrow\sf{6-11w-1=-2}[/tex]
Move 6 and 1 to the right
[tex]\hookrightarrow\sf{-11w=-2+1-6}[/tex]
[tex]\hookrightarrow\sf{-11w=-7[/tex]
Divide both sides by -11
[tex]\hookrightarrow\sf{w=7/11}\\=============================[/tex]
Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge Is Power!The table shows the number of apples needed to make apple pies and applesauce sold at a farm
store. During a recent picking at the farm, 169 Granny Smith apples and 95 Red Delicious apples
were picked. Write and solve a system to determine how many apple pies and how many batches
of applesauce can be made if every apple is used. (Hint: read across each row to create your equations!)
# Needed # Needed Total
Type of Apple for 1 (Pie) for Sauce
Granny Smith 5
4
169
Red Delicious
3
2
95
Answer:
pie - 38
sauce - 37.5
Step-by-step explanation:
For the Red Delicious apples you keep subtracting 5 from the total (95) and adding 1 to both of the total numbers of pies and apple-sauce. For the Granny Smith apples you keep subtracting 9 from the total and adding 1 to both of the total numbers of pies and apple-sauce until you get to 7 then you subtract 5 and 1 to the total of pies then you only have 2 left and that is half of the appl-sauce.
The value of x from the equation is 21 pies and the value of y from the equation is 16 batches of apple sauces
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total number of apple pies be x
Let the number of batches of apple sauce be y
Now , the system of equations are
5x + 4y = 169 be equation (1)
3x + 2y = 95 be equation (2)
Multiply equation (2) by 2 , we get
6x + 4y = 190 be equation (3)
Subtracting equation (1) from equation (3) , we get
x = 190 - 169
x = 21
Substitute the value of x in equation (2) , we get
3x + 2y = 95
3 ( 21 ) + 2y = 95
63 + 2y = 95
Subtracting 63 on both sides of the equation , we get
2y = 32
Divide by 2 on both sides of the equation , we get
y = 16
Therefore , the value of x and y are 21 and 16 respectively
Hence , the number of apple pies and apple sauces are 21 and 16 respectively
To learn more about equations click :
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#SPJ2
Which angles are complementary to each other?
Answer:
<1 and <2
Step-by-step explanation:
Complementary angles are two angles which their measure add up to 90 degrees.
There are only one angle pair that meet this requirement:
angle 2 and angle 1
A school needs 138 5 meters of fencing for a new playground Fencing is
sold in 12-foot sections. How many sections of fencing should be
purchased to fence the playground? PLEASE ANSWER AS QUICKLY AS YOU CAN!!!!
Answer:
12 Sections
Step-by-step explanation:
With 138.5 meters needed and fencing being purchased in 12-foot sections, you would need 12 sections purchased. 138.5/12=11.54, this is rounded up to 12 because of the purchase size.
apter 13
4. The base rate for workers' compensation insurance for roolers
in one state is $16.95 per $100 paid to employees. The total
monthly payroll for Certified Roofing is $15,738.00. What is the
monthly premium for workers' compensation insurance?
Answer:
$2,667.59
Step-by-step explanation:
The insurance premium is found by multiplying the payroll amount by the premium rate.
($15,738) × $16.95/$100 = $15,738 × 0.1695 ≈ $2,667.59
The monthly workers' compensation insurance premium is $2,667.59.
_____
Additional comment
The roofers in that state must have an exceptionally high rate of accident, injury, or illness. Many places, the average rate of workers' comp insurance is less than $2 per $100.
Answer:
The roofers in that state must have an exceptionally high rate of accident, injury, or illness. Many places, the average rate of workers' comp insurance is less than $2 per $100.
Step-by-step explanation:
image below ill give branliest 20 points question
Answer:
I can't see image
Step-by-step explanation:
why I not see image
Mr. Garcia has 15 boys and 10 girls in his math class. He selects wo students at random to demonstrate how they solved the day's challenge assignment What is the probability that both students are girls?
Step-by-step explanation:
(20 points)
Find x:
(x−2)^2=25
pls show steps so I understand lol
Answer:
(-3, 7)
Step-by-step explanation:
ok so first take the square root of both sides, so you get (x-2)=5, since the square root gets rid of the power, and the square root of 25, is 5, and since we did a square root, we also have to do the - + thing, so the equation really is now x-2=(+-)5
subtract 2 from both sides, and you get x=(+-)5+2
Solving for x we get -5+2=-3
and also
5+2=7 since there was a positive, and a negative 5.
therefore x would equal (-3, 7)
hope this helps, please mark as brainliest.
The number 175 is 25% of what number?
Answer:
700
Step-by-step explanation:
If you take 25 percent of a number and get 175, then what is that number? In other words, you know that 25 percent of a number is 175 and you want to know what that initial number is.
To solve this problem you multiply 175 by 100 and then divide the total by 25 as follows: (175 x 100) / 25
When we put that into our calculator, we get the following answer:
700
Answer: 700
Step-by-step explanation:
175 * 4 = 700
700 / 4 = 175
If a person is behind on his debt payments and goes to a responsible credit counseling service, what help is likely to be offered?
a.They can cancel and cut up his credit cards without his permission.
b.They can force those who loaned him money to forgive his debts.
c.They can get the federal government to apply his income taxes to pay off his debts.
d.They can work with those who loaned him the money to set up a realistic payment schedule.
Answer:
d
Step-by-step explanation:
I mean the 1st and 2nd ones are unreasonable and 3 is jus unrealistic
A soup can has a radius of 4.3 cm and a height of 11.6 cm. What is the approximate volume of the soup can?
Answer:
673.82 cm³
Explanation:
soup can are usually in the form of a cylinder.cylinder volume : [tex]\sf \pi r^2h[/tex]
[tex]\rightarrow \sf \pi (4.3)^2(11.6)[/tex]
[tex]\rightarrow \sf 673.82 \ cm^3[/tex]
What is the frequency?
Answer:
Its A
Step-by-step explanation:
Urgent!!! Need help Please!!
Find the area of the triangle.
a. 620 sq. m b. 270 sq. m c. 540 sq. m d. 980 sq. m
Answer:
270 sq. m [b]
Step-by-step explanation:
So the area of a triangle is 1/2 bh (1/2 of base x height).
The base of the triangle shown is 20m. The height is 27m.
(1/2) (20)(27) = 270.
The area of this triangle is 270 sq. m (b)
The area of the triangle below is 3/40
square meters. What is the length of the base? Express your answer as a fraction in simplest form.
Answer:
b = 3/4
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
3/ 40 = 1/2 b ( 1/5)
Multiply
3/40 = 1/10 b
Multiply each side by 10
10 *3/40 = 10* 1/10 b
3/4 = b
Write the expression. Then, complete the statements.
twice the difference of a number and seven
The word "twice" means
.
The words "the difference of" indicate
.
The expression is written as
Answer:
The equation is 2(x-7)
Hope it is correct
Answer: Write the expression. Then, Complete the statements.
.
.
twice the difference of a number and seven
Step-by-step explanation:
1. multiplication by 2
2. subtraction in parentheses
3. 2(n-7)
Each side of the regular hexagon below has the same measure. A hexagon with side lengths of 2. 5 feet. If a model of the hexagon is made by using a scale factor of 6, which applies to the model? Select two options. The model represents a reduction. Each side of the model is 15 feet long. The model is proportional to the original hexagon. One side of the model can be 8. 5 feet. The scale factor is divided by 2. 5 to get the dimensions of the model.
The correct option for a regular hexagon is b) Each side of the model is
15 feet long. and c) The model is proportional to the original hexagon.
What is a regular hexagon?A regular hexagon is defined as a closed shape consisting of six equal
sides and six equal angles. The sum of the measure of angles of a
regular hexagon is 120 degrees.
It is given that a hexagon with side lengths of 2. 5 feet.
The scale factor is 6.
Since scale factor = new length/original length,
new length = scale factor × original length
= 6 × 2.5 feet
= 15 feet.
Also, each side of the hexagon increases by a constant factor of 6, the model is proportional to the original hexagon.
Learn more about a regular hexagon;
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What is the velocity of the plane that travels 3000km in 5 hours?
Answer:
600km/h
546.807 fps
0.1666667 km/s
Step-by-step explanation:
Use which ever unit youd want to in this scenereo, I'd use 600km/h
3000 / 5 = 600
I NEED THAT ANSWER ASAP
Answer:
2064.19 km^3
Step-by-step explanation:
Formula for volume of a sphere
V = 4/3 pi r^3
= 4/3 * 3.14 * 7.9^3 =
Answer:
[tex]2064\ km^3[/tex]
Step-by-step explanation:
Volume of a Sphere: [tex]\frac{4}{3}\pi r^3[/tex]
r (radius) = 7.9 km[tex]V=\frac{4}{3}\pi r^3[/tex]
[tex]V=\frac{4}{3}*3.14*(7.9)^3 \\\\V=\frac{4}{3}*3.14*493.039\\\\V=\frac{4}{3}*1548.142\\\\V=\frac{4}{3}*\frac{1548.142}{1}\\\\V=\frac{6192.568}{3}\\\\V=2064.18933 < == round\ to\ the\ nearest\ whole\ number\\\\V=2064\ km^3[/tex]
Therefore, the volume of the sphere is [tex]2064\ km^3[/tex]
Hope this helps!
answer is it 1 2 3 or 4
Answer: C. 125.66 in²
Step-by-step explanation:
This is asking us to find the surface area of this cone. We can use the formula and solve.
A = πrl + πr²
A = π(4)(6) + π(4)²
A = π(4)(6) + π(4)²
A ≈ 125.66 in²
It would take C. 125.66 in² of toilet paper to cover the surface of this cone.
A 50kg ball rolls off a building it is going 5 m/s when it hits the ground. How tall is the building
Answer:
1.25m
Step-by-step explanation:
s=ut+1/2gt^2
Newton's second law of motion
F=ma
50x10
500N
500/50
g/a=10m/s^2
u=0m/s
s= 1/2gt^2
v=u+gt
5=0+(10t)
5=10t
t=0.5s
s=0.5×10×(0.5)^2
=1.25m
In a small town, there are 4 times as many left-handed males as there are left-handed females, and there are 3 times as many right-handed females as there are right-handed males. There are a total of 204 males and 348 females in the town.
Let x represent the number of left-handed females, and let y represent the number of right-handed males. Write a system of equations to represent the situation. What is the value of x, the number of left-handed females?
6
24
96
108
Answer:
(b) 24
Step-by-step explanation:
The given variable definitions and the given relationships let us write these statements:
LH males = 4 × LH females = 4x
RH females = 3 × RH males = 3y
LH males + RH males = 204 = 4x +y
RH females + LH females = 348 = 3y +x
Your favorite method of solving equations of this sort can tell you ...
(x, y) = (24, 108)
There are 24 left-handed females.
__
Additional comment
Other numbers involved here are ...
y = 108 . . . . right-handed males
204-108 = 96 . . . . left-handed males (=4×24)
348-24 = 324 . . . . right-handed females (=3×108)
__
If you want to solve the equations by hand, you can use substitution for y to get an equation in x:
3(204 -4x) +x = 348 ⇒ -11x = -264 ⇒ x = 24
Write the ratio 2 : 5 in the form of 1 : n ?
Answer:
1:2.5
Step-by-step explanation:
just divide each side by 2
how to tell if something is cubed or squared being ft^3 or ft^2
Answer:
Check the power
Step-by-step explanation:
You can tell if a quantity has been cubed or squared by looking at its power.
For example, ft^3 has a power of 3 (meaning feet is raised to 3) which means whichever number ft^3 is used with, has been cubed, generally volume of any shape
Similarly, ft^2 has a power of 2 (meaning feet is raised to 2) which means whichever number ft^2 is used with, has been squared, generally area of any shape
===========================================================
If something is squared, it's multiplied times itself 2 times.
Example:-
[tex]\bigstar\boxed{\pmb{4*4=4^2}}\longleftarrow\sf{4~squared~}[/tex]
You should also notice that the exponent of 4 is 2.
So if something is squared, its exponent is 2.
If something is cubed, it's multiplied times itself 3 times.
Example:-
[tex]\bigstar{\boxed{\pmb{4*4*4=4^3}}\longleftarrow\sf{4~cubed}[/tex]
You should also notice that the exponent of 4 is 3.
So if something is cubed, its exponent is 3.
=======================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
The equation to model Exponential Decay is:
y = a[1 – r)
y= total amount
a= starting amount
r= the growth rate as a decimal
t= number of growth periods
Question 1 (1 point)
Sarah takes 550 mg of an antibiotic. Every hour,
her body breaks down 25% of the remaining drug.
How much will be left after 12 hours?
Guys help me please I really don’t understand this
Exponential functions are used to represent growth or decay of a substance. The amount that will be left after 12 hours is 17.42mg
How to model exponential equationsThe standard form of an exponential equation is given as:
[tex]y=a(1-r)^t[/tex]
where;
y= total amounta= starting amountr= the growth rate as a decimalt= number of growth periodsGiven the following parameters
a = 550mg
r = 0.25
t = 12
Substitute into the formula
[tex]y=550(1-0.25)^{12}\\y = 550(0.75)^{12}\\y=17.42mg[/tex]
Hence the amount that will be left after 12 hours is 17.42mg
Learn more on exponential equation here: https://brainly.com/question/12940982
12
Devonte and 19 other students are in
an afterschool robotics program. In order to
attend the state's competition they need to
raise $835.72 for transportation and other
expenses. So far, they have raised $311.12. If
each of the team members were to split the
remaining amount evenly, how much would each
team member be responsible for contributing?
A. $26.23
C. $41.79
B. $15.56
D. $57.34
A survey stopped men and women at random to ask them where they purchased
groceries, at a local grocery store or online.
How many men surveyed shop at a local grocery store.
Complete the state symbol in the equation. CuCO3+H2SO4(aq)+H2O+CO2
Answer:
H2O = liquid (l)
CO2 = gas (g)
CuCO3 = solid (s)
Step-by-step explanation:
H2O is water
CO2 is carbon dioxide
CuCO3 is copper carbonate
Please help I'll mark brainliest.
Answer:
Step-by-step explanation:
10
12
8
13
13
7
6
12
9
10
11
9
120
Total = 120
Number of entrees = 12
Mean = 120 / 12
Mean = 10
What is the value of s
O-1
0 0
O 1
O no solution
Answer: -1
Step-by-step explanation:
Given AB and AC are lines that are tangent to the circle with
the measure of angle BAC = 40°, what is the measure of angle BDC?
Answer:
C
Step-by-step explanation:
Givens
You are given 2 tangent lines.
You are also given a 4 sided figure.
All 4 sided figures have 360 degrees
A radius meets a tangent at 90 degrees
Formula
<BDA + <DCA + <BCA + <BDC = 360
Solution
90 + 90 +40 + <BDC = 360 Combine
220 + <BDC = 360 Subtract 220 from both sides
220- 220 +BDC =360 - 220
<BDC = 140
Answer: C