Answer:
32 chairs
Step-by-step explanation:
In the soft Boulder cafe they a chairs , table and customers and the 3 members staffs.
Each Table = 3 legs
Each Chairs = 4 legs
Each customer = 2 legs
Each members of staffs = 2 legs
4 chairs goes with each table. This means 4 × 4 = 16 legs of chairs for each 3 legs of table.
At a certain time 3/4 of the chairs are occupied by customers. That is 3 out of 4 chairs are occupied plus 6 tables . Therefore,
3 + 16 + 6 = 25 legs of table
206 legs altogether - the 6 legs of the staff(3 staffs has 6 legs)= 200 legs
This means 200 legs = 8 tables. Therefore,
8 tables requires 32 chairs
What is the area of the composite figure? (6π + 4) cm2 (6π + 16) cm2 (12π + 4) cm2 (12π + 16) cm2
Answer:
16 + 6pi
Step-by-step explanation:
We have a square and 3 semicircles
The area of the square is
A = s^2 and the side length is 4
A = 4^2 = 16
The radius of the semi circle is 2
The area of a semicircle is
1/2 pi r^2
1/2 pi (2)^2 = 2pi
We have 3 of them
3 *2pi = 6pi
Add the areas together
16 + 6pi
Answer:
(6π + 16) cm²
Step-by-step explanation:
The composite shape can be cut into 4 shapes.
3 equal semi-circles and 1 square.
The square has a side length of 2 + 2 = 4cm.
The radius of the semi-circle is 2 cm.
The area of the square is:
4 × 4 = 16 cm²
The area of the semi-circle is:
2²π × 1/2
= (2π) cm²
There are 3 equal semi-circles, so multiply the area by 3.
2π × 3 = (6π) cm²
Add the areas of the 4 shapes.
16 cm² + (6π) cm²
= (6π + 16) cm²
The total area of the composite shape is (6π + 16) cm².
8.
How is the graph of y = 4(2)* - - 3 translated from the graph of y = 4(2)*?
3 units right
3 units down
3 units left
3 units up
Answer: 3 units up
Step-by-step explanation:
x (y-z)+y (z-x) +z ( x-y)
Answer:
xy-xz+yz-yx+zx-zy hoped this helped a little
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
x (y-z)+y (z-x) +z ( x-y)
Simplify the bracket
xy -xz + yz - yx + zx - zy
combine the like terms
xy - yx -xz + zx + yz - zy
= 0
Please answer CORRECTLY !!!!!! Will mark BRAINLIEST !!!!!!!!
Answer:
The answer is 7 meters
Step-by-step explanation:
Its 7 meters because if you divide the area by the width you would get the length (49 divided by 7 = 7)
Please answer correctly !!!!!!!!! Will mark brianliest !!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
Because in N(8)>2.N(5) there is 2 times N(5) in front of it. In the example N(g) means the numbers of students whose grade on the exam was g. so in this case N(8) means the numbers of students whose grade on the exam was 8 and N(5) means the numbers of students whose grade on the exam was 5. So when you turn this equation into words it means The numbers of students whose grade was 8 is more than twice the number of students whose grade was 5.
Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which equation relates the total amount of gasoline in the tank, y, to the number of gallons that she put in the tank, x? y=4+x y = x − 4 y = 4 · x y = x ÷ 4
The required equation is, y = 4 + x.
Hence, The correct answer would be an option (A).
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Now, Jayne stopped for gas before embarking on a road trip.
There were already 4 gallons of gas in the tank.
Hence, As per the question, the required equation would be as:
⇒ y = 4 + x
Thus, This equation relates the total amount of gasoline in the tank, y, to the number of gallons that she put in the tank, x. The total amount of gasoline in the tank, y, is equal to the number of gallons that she put in the tank, x, plus the 4 gallons that were already in the tank.
Learn more about the equation here:
brainly.com/question/10413253
#SPJ7
The population of big cats in Africa is increasing at a rate of 5% per year. At the
beginning of 2004 the population was 10 000. (a) Write down the population of
big cats in Africa at the start of 2005. (b) Find the population of big cats at the
beginning of 2010. (c) Find the number of years, from the beginning of 2004, it
will take the population of big cats to exceed 50,000.*
Answer:
a) 10,500 big cats
b) 13,401 big cats
c) 33 years
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form; 5/100= 0.05)
t= years
A = population after t years
Replacing with the values given:
a) At 2005, 1 year passed since 2004 (t=1)
A = 10,000 (1+ 0.05)^1
A = 10,500 big cats
b)
At 2010, 6 years passed since 2004 (2010-2004= 6)
A = 10,000 (1+ 0.05)^6
A = 13,401 big cats
c)
50,000 < 10,000 (1+ 0.05)^t
Solving for t:
50,000/10,000 < 1.05^t
5 < 1.05^t
log 5 < log 1.05^t
log 5 < t ( log 1.05)
log 5 / log 1.05 < t
32.9 years < t
33 years = t
Feel free to ask for more if needed or if you did not understand something.
log base4 64=3 pls solve
Answer: 4^3 = 64
Step-by-step explanation:
Formula is [tex]a^c=b[/tex]
[tex]4^3=64[/tex]
Answer:
[tex]{4}^{3} = 64 \\ [/tex]
Step-by-step explanation:
[tex] log_{a}(c) = b \\ {a}^{b} = c[/tex]
Use the formula.
[tex] log_{4}(64) = 3[/tex]
[tex] {4}^{3} = 64[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
use the rencetangle to find this area
Answer:
The area of the triange is 20 feet. beacause the area of the rectangel is 40 feet.
Step-by-step explanation:
Kevin made cookies and brownies for the bake sale at school. He made 12 more cookies than brownies. He sold cookies for $1.50 and brownies for $2. He sold all of his food and made a total of $123. How many of each item did he sell? *
Answer:
He made 42 cookies and 30 brownies.
Step-by-step explanation:
Let c = number of cookies
Let b = number of brownies
"He made 12 more cookies than brownies."
The number of cookies is 12 more than the number of brownies.
c = b + 12
"He sold cookies for $1.50 and brownies for $2."
The money he made from selling cookies was 1.5c.
The money he made from selling brownies was 2b.
The total sales were $123
1.5c + 2b = 123
We have a system of equations.
c = b + 12
1.5c + 2b = 123
Substitute c of the second equation with b + 12
1.5(b + 12) + 2b = 123
1.5b + 18 + 2b = 123
3.5b = 105
b = 30
c = b + 12
c = 30 + 12
c = 42
He made 42 cookies and 30 brownies.
Which sampling would be appropriate to survey 120,000 people?
A) 12,000
B) 1,200
C) 120
D) 12
Answer: Id say b
Step-by-step explanation: a would be too high and a bit too detailed. Whereas c and d will be inaccurate.
Answer:
A. Twelve thousand
Step-by-step explanation:
cant specify my sources but please hit thank it would make my day :)
1 1/3 x 1 1/2 x 1 1/5
Answer:
7
Step-by-step explanation:
!..........................
Step-by-step explanation:
[tex](1\frac{1}{3} )(1\frac{1}{2} )(1\frac{1}{5} )\\(\frac{4}{3} )(\frac{3}{2} )(\frac{6}{5} )\\(\frac{2}{1} )(\frac{1}{1} )(\frac{6}{5} )\\\frac{12}{5}[/tex]
In the second step I made them all into simple fractions, just because that's easier.
In the third step I did a bit of cancelling to simplify everything as much as possible.
Answer:
[tex]\frac{12}{5}[/tex]
Plss help^^
This recipe makes three portions of soup.
Navina follows this recipe but only wants to make enough for one portion of soup.
How much of each ingredient does she need?
Answer:
Yeo wsp
60g onions
40g carrots
1 tablespoon of oil
200 g tomatoes
.4 L vegetable stock
Step-by-step explanation:
You just divide everything by 3
1.) Mr. Taylor weighs 300 pounds. He went on the Subway diet and was guaranteed to lose 5 pounds per week. Write an equation that could be used to find how many weeks, w, it would take for him to weigh 150 pounds
2.)You have $60 and your sister has $120. You are saving $7 per week and she is saving $5 per week. How long will it take before you and your sister have the same amount of money?
Answer:
1.) 300 - 5w = 150
2.) 30 weeks
Step-by-step explanation:
w = weeks on the diet
if every week he's on the diet, that means that the weeks * 5 is how many pounds he loses. If he's on the diet one week then he loses 5 pounds. 2 weeks then 10 pounds... etc. But because he's losing punds the value is negative
He starts at 300 pounds so the y-intercept (starting value) would be 300
Finally, because he's looking to get to 150 pounds, that is the final value you're solving for
So this is your firat equation:
300 - 5w = 150
Then we are looking for when two different eqaution have the same value.
Your equation is: 60 + 7w
Her equation is: 120 + 5w
Your final equation is 60 + 7w = 120 + 5w
Solve for this by getting w on one side, and your plain old variable-less value on the other. Do this by subtracting 5w from each side, as well as 60.
Your equation is now 2w = 60
Then divide the whole equation by 2, and you get w = 30
TRIGNOMETRY:
Faisal is 30m from a flagpole. The angle of elevation of its top is 12.4° and the angle of depression of the bottom is 2.1°. Find the height of the flagpole, correct to 3 significant figures.
Answer:
7.698 m
Step-by-step explanation:
From the question,
Faisal's distance to the flagpole = 30 m
angle of elevation of its top = 12.4°
angle of depression of its bottom = 2.1°
Thus, the height of the flagpole is divided into two parts. Let the upper part be represented by x and the lower part by y.
From the triangle of the upper part (elevation), we have;
tan 12.4° = [tex]\frac{x}{30}[/tex]
x = 30 × tan 12.4°
= 30 × 0.2199
= 6.597 m
From the triangle of the lower part (depression), we have;
tan 2.1° = [tex]\frac{y}{30}[/tex]
y = 30 × tan 2.1°
= 30 × 0.0367
= 1.101 m
The height of the flagpole = x + y
= 6.597 + 1.101
= 7.698 m
The height of the flagpole is 7.698 m.
A pairs of fair dice is tossed . What is the probability of not getting a sum 5 or 9 ?
Answer:
28/36 or 7/9
Step-by-step explanation:
there are 36 possible answers
4 of them equal 5 (1+4, 2+3, 3+2, 4+1)
4 of them equal 9 (3+6, 4+5, 5+4, 6+3)
8-36 = 28
If a number is increased by 28 and then divided by 5, the result is 7.
The algebraic equation is
x + 28 divided by 5 =7.
what is x
x+28 / 5 = 7
Multiply both sides by 5:
x +28 = 35
Subtract 28 from both sides:
x = 7
the table shows the age in years of employees in a compant
a
26<a<28
Step-by-step explanation:
The class interval of age in year is 2
so, 2 is the class interval
Solve the system of equations below algebraically.
2x + 3y = 6
- 5x+2y=4
Answer: The solution is (0,2)
Step-by-step explanation:
2x +3y = 6 We will solve the equations using the elimination method
-5x +2y= 4 but first we need to eliminate one of the variables and we will multiply the first equation by 5 and multiply the second equation by 2 to eliminate the x variable.
5(2x + 3y) =6(5) new equation : 10x +15y = 30
2(-5x + 2y) = 4(2) new equation ; -10x +4y =8
Now we have to new equations so we will eliminate the x term by adding
10x +15y = 30
-10x +4y =8
19y = 38 divide both sides by 19.
y= 2 Now using the solution for y plot it into one of the new equations and solve for x
10x + 15(2) = 30
10x + 30 = 30
-30 -30
10x = 0
x= 0
find the answer! 10 points to the first person!
Answer:
36
Step-by-step explanation:
This is a 30, 60 90 triangle, which means that there is a ration for calculating each side.
The second term of a geometric sequence is 17.5 and the third term is 122.5. What is the common ratio? What is the first term?
Step-by-step explanation:
U2=ar
U2=17.5
U3=ar^2
U3=122.5
U3/U2=122.5/17.5
ar^2/ar=7
r=7
17.5=ar
17.5=7a
a=2.5
A rectangle with an area of 24 square inches is formed by cutting strips of equal width from a rectangular piece of paper. Find the dimensions of the new rectangle if the original rectangle measures 8 inches by 6 inches.
Answer: 4 inches by 6 inches or 8 inches by 3 inches.
Step-by-step explanation:
The area of a rectangle is A = W*L
where L is the width and L is the lenght.
Now, the original rectangle has a measure of 8 in by 6 in.
if 8in is the lenght and 6 in is the width.
We want to divide only one of those measures in equal parts, such that when we take the product of the end results is equal to 24 in.
If we divide the lenght by half (so both parts will have the same width as this did not change), we now have that the lenght is 8in/2 = 4in and the width is 6in.
Now the area is 4in*6in = 24in, which is the area that we where looking for.
We also could cut the width in half, and get the dimensions 8 inches by 3 inches.
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
A
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
m(x) = 2(x + 4)² - 8 ← is in vertex form
with vertex = (- 4, - 8 ) → A
A car is going 50 miles per hour. A rate that describes this would have units of
Answer:
mph or miles per hour
Step-by-step explanation:
what is the equation of the line perpendicular to 2x-3y=13 that passes through the point (-6,5)?
Answer:
y = (-3/2)x - 4
Step-by-step explanation:
Recall that a line perpendicular to a given line has a slope which is the negative reciprocal of the given line. The given line can be re-written as -3y = -2x + 13, or
y = (2/3)x - 13/3
and so the slope of a line perpendicular to this given line is -3/2.
Then the desired equation, in point-slope form, is
y - 5 = (-3/2)(x + 6) (This is in point-slope form.)
Alternatively,
2y - 10 = -3(x + 6) = -3x - 18, or
2y = 10 - 3x - 18, or
2y = -3x - 8, or y = (-3/2)x - 4 (This is in slope-intercept form.)
Find the mean, median, and mode of the data. 67, 59, 34, 71, 59
Answer:
Mean: 58
Median: 59
Mode: 59
Step-by-step explanation:
34, 59, 59, 67, 71
Mean: 34 + 59 + 59 + 67 + 71 = 290/5 = 58
Median: 59
Mode: 59
Answer:
mean 58
median 59
mode 59
Step-by-step explanation:
67, 59, 34, 71, 59
The mean is the sum divided by the number of numbers
(67+ 59+ 34+ 71+ 59)/ 5 = 290/5 = 58
The median is the middle number when the numbers are written from smallest to largest
34, 59, 59, 64, 71
The middle number is 59
The median is 59
The mode is the number that appears most often
The number 59 appears twice
59 is the mode
A store buys an item for $10. To earn a PROFIT of $25, what percent does 13 po
the store need to mark up the item? (Hint: if the profit is $25, they must
sell it for more than that...) *
Answer:
150%
Step-by-step explanation:
25-10= 15
15/10 = 1.5
1.5 = 150%
Which is a complete list of factors of each term in the expression 15 + 20 x?
Answer:
15: 1, 3, 5, 15
20x: 1, 2, 4, 5, 10, 20, x
Step-by-step explanation:
Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 18% each week. The following function represents the weekly weed growth: f(x) = 86(1.18)x. Rewrite the function to show how quickly the weeds grow each day. f(x) = 86(1.02)x; grows approximately at a rate of 0.2% daily f(x) = 86(1.18)7x; grows approximately at a rate of 1.8% daily f(x) = 86(1.02)7x; grows approximately at a rate of 2% daily f(x) = 86(1.187)x; grows approximately at a rate of 0.18% daily
Answer:
Correct option: third one
f(x) = 86(1.02)7x; grows approximately at a rate of 2% daily
Step-by-step explanation:
We can rewrite the equation using the model:
P = Po * (1 + r/n) ^ (nt)
Where P is the final value, Po is the inicial value, r is the rate, t is the time and n is the relation of the rate and the time (in our case, the rate is weekly and the time will be in days, so n = 7)
With P = f(x), Po = 86, r = 0.18 and t = x, we have:
f(x) = 86 * (1 + 0.18/7) ^ (7x)
f(x) = 86 * (1.02) ^ (7x)
So the daily rate of growth is approximately 2%
Correct option: third one
