The band makes $300 from selling merchandise.
I found this out by finding the LCD for 3 and 5, which is 15.
Then I multiplied the 2 from 2/3 by 5, and the 1 from 1/5 by 3, which results in 10/15 and 3/15.
Next I divided 1500 by 15, which is 100.
Then I multiplied 100 by 3, and got 300.
The band earns $450 from selling merchandise.
Explanation:To find out how much money the band earns from selling merchandise, we need to determine what fraction of their profit comes from merchandise sales. We know that the band earns 2/3 of their profit from selling concert tickets, which equals $1500. Let's use this information to find the total profit.
Since 2/3 of the profit is $1500, we can find the total profit by multiplying $1500 by 3/2. $1500 x 3/2 = $2250. Therefore, the total profit the band earns is $2250.
Next, we need to find out how much money the band earns from selling merchandise, which is 1/5 of the total profit. To find this amount, we can multiply the total profit of $2250 by 1/5. $2250 x 1/5 = $450. So, the band earns $450 from selling merchandise.
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PLEASE HELP!!!!!
Which linear equation is in slope-intercept form? A) y = mx + b B) Ax + By = C C) y - y1 = m(x - x1) D) x - x1 y - y1 = m
Answer:
A) y=mx+b
Step-by-step explanation:
The slope-intercept form is simply the way of writing the equation of a line so that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are immediately apparent. Often, this form is called y = mx + b form.
How to represent the number 8.2 using base 10 blocks. How much each size blocks is worth?
To represent 8.2 using base 10 blocks, you need 8 one blocks and 2 tenth blocks, where one blocks represent 1 and tenth blocks represent 0.1. This method is effective for visualizing numbers in base 10.
Explanation:To represent the number 8.2 using base 10 blocks, we use different sizes of blocks to represent different place values in base 10.
Each size block is worth a different value based on its place in the number.
A hundred block represents 100.A ten rod represents 10.A one block represents 1.A tenth block (also known as a flat or a piece of flat) represents 0.1.To represent 8.2, we would need:
8 one blocks (because 8 is in the ones place).2 tenth blocks (because 2 is in the tenths place, representing 0.2).This method of representation helps in visualizing and understanding the value of numbers in the base 10 system. It's particularly useful in educational settings for explaining the concept of place values and decimals.
using the distributive property method on 6x32 and 7x29
[tex]6\cdot32=6(30+2)=(6)(30)+(6)(2)=180+12=192\\\\7\cdot29=7(30-1)=(7)(30)-(7)(1)=210-7=203[/tex]
Answer:
Step-by-step explanation:
Antoine and Angela both like to walk for exercise. Today they are walking together. Antoine walks every 3 days and Angela walks every 5 days. Circle all the days on which they will walk together again. Choices are 8, 12, 15, 25, 45.
15 and 45 becuase bith 3 and 8 can go into them.
the sum of a number 9 is multiplied by -2 and the answer is -8
find the number.
-2(x + 9) = -8
Distributive property.
-2x - 18 = -8
Add 18 to both sides.
-2x = 10
Divide both sides by -2.
x = -5
Chen rode his stake board 3 3/4 miles of an hour. What was his average speed in miles per hour?
3 3/4 miles as a decimal is 3.75 miles. He rode for one hour. Average speed within an interval is (distance made) / (interval duration). So the average speed = 3.75 miles / 1 hour, or 3.75 mph.
What is the coefficient in the expression 3x13+4 ? Enter your answer in the box.
Answer:
3
Step-by-step explanation:
Its the number immediately before x
Answer:
What is the coefficient in the expression 3x13+4?
3/13
Step-by-step explanation:
Two numbers have an absolute value of 16. Which of the two numbers is greater than 12?
Henrieta divided 0.80 by 20 as shown. Is her work correc? If not , explain why and give a correct response.
Henrieta's work is incorrect. The correct answer is 0.04.
Explanation:No, Henrieta's work is not correct. To divide 0.80 by 20, we need to divide the numerator (0.80) by the denominator (20).
Dividing 0.80 by 20, we get 0.04.
Therefore, the correct answer is 0.04.
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Name the parallel segment.
[tex]\overline{NP}\ ||\ \overline{AB}\\\\\overline{JI}\ ||\ \overline{PN}[/tex]
you have already saved $55. you earn $9 per hour at your job. you are saving for a bicycle that cists $199. what inequality represents the possible numbers of hours you need to work to buy the bicycle ?
if the sum of 5 consecutive multiples of 6 is 930, what is the smallest multiple?
x + x+6 +x+12+x+18+ x+24 = 930
5x + 90 = 930
5x = 930 - 60
5x = 870
x = 174 (which is the smallest consec multiple of 6)
174 is answer.
Given that sum of 5 consecutive multiples of 6 is 930
To find the smallest multiple
The consecutive multiples of 6 would be of the form
6(k-2), 6(k-1), 6k, 6(k+1), 6(k+2) for some natural number k.
The sum would be
6(k-2)+ 6(k-1)+ 6k+ 6(k+1)+ 6(k+2)= 6(5k) = 930
Divide by 30
k = 930/30 = 31
Smallest number = 6(k-2) = 6(31-2)
= 6(29) = 174
-------------------------------------
Verify:
174+180+186+192+198 = 930
Hence verified
Find the equation of the line in slope-intercept form.through (−5, 6) with slope = 3
y = 3x + 21 that's the answer
Students in Mr. Smith's class want to find out how far they can jump. Which of the following will help give a valid conclusion about the data?
1. Five students are chosen randomly to jump.
2. All 25 students are measured.
3. Students who want to jump are measured.
4. Students playing during recess are measured.
Answer:
2 student who want to jump are measured
what is the solution of 7k+2=4k-10?
Number 21 help me with this one
Answer:
175 %
Step-by-step explanation:
7/4 = (7/4)* 100
= 700 / 4
= 175 %
The answer is 175% I think
At a chess tournament, the number of competitors in each round is 50% of the number of competitors in the previous round. What type of relationship most appropriately models this situation?
A. linear increase
B. exponential decay
C. exponential growth
D. linear decrease
Answer: Option B. exponential decay
Solution:
If initially the number of competitors is n
If the number of round is "r" and the number of competitors after "r" rounds is N(r)
1) After the first round (r=1), the number of competitors is:
N(r)=N(1) = n * 50% = n * 50/100 →N(r)=N(1)=n*0.5=n*0.5^1
2) After the second round (r=2), the number of competitors is:
N(r)=N(2) = N(1) * 50% = (0.5 n)*(50/100)=(0.5n)*(0.5)→N(r)=N(2)=n*0.5^2
3) After the third round (r=3), the number of competitors is:
N(r)=N(3)=N(2)*50%=(n*0.5^2)*(50/100)=(n*0.5^2)*(0.5)→N(r)=N(3)=n*0.5^3
Then:
For r=1→N(r)=N(1)=n*0.5^1
For r=2→N(r)=N(2)=n*0.5^2
For r=3→N(r)=N(3)=n*0.5^3
In general: N(r)=n*0.5^r
This is an exponential function because the independent variable "r" is in the exponent, and because the number of competitors (funcion N(r) )decrease with the number of rounds the type of relationship most appropiately models this situation is an exponential decay
The reduction by 50% of competitors each round in a chess tournament is modeled by an exponential decay relationship, not a linear decrease, as it depends on the current number of competitors.
The chess tournament with the number of competitors decreasing by 50% each round is best modeled by a exponential decay relationship. This is because with each round, the number of competitors is halved, which is a rate that depends on the current number of competitors. (A) linear decrease would imply a constant decrease irrespective of the current number of competitors, which is not the case here.
Exponential relationships can be represented by mathematical functions where the rate of change is proportional to the current value. In contrast to exponential growth, where the quantity increases at a rate proportional to its current value, exponential decay describes a situation where the quantity is reduced by a certain factor over equal successive periods.
Jim Smith is a world processor. He is paid $3.50 a page. A normal job has 500 pages and requires about 250 words per page. About how much will jim receive for his work?
If a page costs 3.50 and there are 500 pages, all you have to do to get your answer is multiply these 2 numbers,
The answer is 1750
A 275 inch pipe is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
Since one piece is four time the length x, we can represent that as 4x.
Thus making the equation:
4x+x=275
5x=275
x=55
4(55)=220
220+55=275
So, the length of the longer piece is 220 inches, and the length of the shorter piece is 55 inches.
In order to find the length of the shorter piece of pipe, we can set up and solve the equation x + 4x = 275. When simplified, we get 5x = 275, and by dividing both sides of the equation by 5, we find that x = 55. This tells us that the length of the shorter piece is 55 inches.
Explanation:To solve this problem, let's denote the shorter piece as x. Because the other piece is four times the length of the shorter one, it can be denoted as 4x. We know that these two pieces put together make the total length of the initial pipe, which is 275 inches. Therefore, we can set up the equation: x + 4x = 275.
Simplifying this equation, we get 5x = 275. To get the value of x, we need to divide both sides of this equation by 5, resulting in x = 55. Hence, the length of the shorter piece is 55 inches.
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what is a reasonable estimate for the product 43x68
You would first try to round the numbers to the nearest 10 and then multiply for a reasonable estimate. In other words, 40x70=2800
m<3 is (3x + 4) and m<5 is (2x +11)
Angles 3 and 5 are _____
A. Alternate interior angles
B. Corresponding angles
C. Same side interior angles
D. Alternate exterior angles
The equation ___ can be used to solve for x.
A. (3x+4) + (2x+11) = 180
B. (3x+4) = (2x+11)
C. (3x+4) - (2x+11) = 180
m<5= __
A. 33
B. 77
C. 103
Answer:
Part 1) Option C. Same side interior angles
Part 2) Option A. [tex](3x+4)+(2x+11)=180\°[/tex]
Part 3) Option B. [tex]m<5=77\°[/tex]
Step-by-step explanation:
Part 1) we know that
If p and q are parallel
then
m<3 and m<5 are consecutive interior angles or Same side interior angles
and
[tex]m<3+m<5=180\°[/tex]
Part 2) we know that
[tex]m<3+m<5=180\°[/tex] -----> by consecutive interior angles (supplementary angles)
we have that
[tex]m<3=(3x+4)[/tex]
[tex]m<5=(2x+11)[/tex]
so
substitute
[tex](3x+4)+(2x+11)=180\°[/tex]
Part 3) Find the measure of angle 5
we know that
[tex](3x+4)+(2x+11)=180\°[/tex]
Solve for x
[tex]5x+15\°=180\°[/tex]
[tex]5x=180\°-15\°[/tex]
[tex]x=165\°/5\°=33\°[/tex]
[tex]m<5=(2x+11)[/tex]
substitute the value of x
[tex]m<5=(2(33)+11)=77\°[/tex]
Answer: C, A, B
Step-by-step explanation:
2 11/32 divide by 1 1/2
2 11/32 / 1 1/2 = 25/16 hope this helps you
PLZ HELP ASAP
The system of equations is graphed on the coordinate plane.
y=−12x−1y=14x−4
Enter the coordinates of the solution to the system of equations in the boxes.
Answer-
The coordinates of the solution to the system of equations is (4, -3)
Solution-
According to the graph the equations are,
[tex]y=-\frac{1}{2}x-1\\\\y=\frac{1}{4}x-4[/tex]
We can get the coordinates of the solution to the system of equations, by substitution.
[tex]\Rightarrow y=\frac{1}{4}x-4[/tex]
Putting the value of y in first equation,
[tex]\Rightarrow \frac{1}{4}x-4=-\frac{1}{2}x-1[/tex]
[tex]\Rightarrow \frac{1}{4}x+\frac{1}{2}x=-1+4[/tex]
[tex]\Rightarrow \frac{3}{4}x=3[/tex]
[tex]\Rightarrow x=3\times \frac{4}{3}[/tex]
[tex]\Rightarrow x=4[/tex]
Putting the value of x in the first equation,
[tex]y=-\frac{1}{2}\times 4-1=-2-1=-3[/tex]
Therefore, the coordinates of the solution to the system of equations is (4, -3)
5n+30-17n-(-12)
[tex]5n + 30 - 17n - ( - 12)[/tex]
Hey there!!
Given equation :
... 5n + 30 - 17n - ( -12n )
... 5n + 30 -17n + 12n
... 5n + 30 - 5n
... 30
The answer is 30...
Hope my answer helps!!
Solving for n, we find that n equals 3.5 or 7/2.
Simplify the equation by removing the parentheses,
5n + 30 - 17n - (-12)
5n + 30 - 17n + 12.
5n - 17n =30 + 12.
-12n + 42 = 0.
-12n = -42.
n = 42 / 12.
n = 7 / 2 or n = 3.5.
Determine the volume of a rectangle box with a link of 5 inches height of 7 inches and the width of 9 inches
need help asap im not good at math
g(x):
flip f(x) over x-axist and next translate 2 units down.
Look at the picture.
Therefore your answer is: B. g(x) = -x² - 2Translations
y = f (x) + m up m units
y = f (x) - m down m units
y = f (x + m) left m units
y = f (x - m) right m units
Stretches/Shrinks
y = n · f (x) stretch vertically by a factor of n
y = 1/n · f (x) shrink vertically by a factor of m (stretch by 1/n)
y = f (1/n x) stretch horizonally by a factor of n
y = f (nx) shrink horizontally by a factor of n (stretch by 1/n)
Reflections
y = - f (x) reflect over x-axis (over line y = 0)
y = f (- x) reflect over y-axis (over line x = 0)
x = f (y) reflect over line y = x
It rained on 3 out of every 5 days in the month of April. There are 30 days in April. On how many days did it rain that month?
3/5(30) = 18.
60% of the days in April it rained.
It rained 18 days in April.
Best of luck.
60% of it rained cause 3/5 is equaled to 60% so 18 Yeah.
Confused can someone help me...
Answer,
- 1 1/4
Hope this helps :-)
Francis heard that a car stereo system was on sale for 30% off. If the sale price was 57.75, what was the original price of the stereo?
Answer:
$82.5
Step-by-step explanation:
We can calculate it with a direct rule of 3. As it has a 30% off, the remaining price is the 70% and we want to know how much is the 100%
[tex]70\% -\!\!\!-\!\!\!- \$57.75\\ 100\% -\!\!\!-\!\!\!- \$ x[/tex]
We use the formula of the direct rule of 3:
[tex]x = \frac {100/100*57.75}{70/100} \\ \\ x = \frac {57.75}{70/100}\\ x = 57.75 * 100/70[/tex]
x = 82.5
The original price of the stereo was $82.5
The original price of the stereo is 82.5
Since the car stereo system was on sale for 30% off, this means that it was sold for 100% - 30% = 70% of the original price.
Let the original price be represented by x
Therefore, 70% of x will be 57.75
70/100 × x = 57.75
0.7 × x = 57.75
0.7x = 57.75
Divide both side by 0.7
0.7x/0.7 = 57.75/0.7
x = 82.5
The original price of the stereo is 82.5
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1). Solve for x 3x-6=7x+18
2) Simplify the expression
65-4^2 (10-2)+37
Please show the work for both.
1) The solution of expression is, x = - 6
2) The solution is, - 26
We have to give that,
1) An expression is,
3x - 6 = 7x + 18
2) An expression,
65 - 4² (10 - 2) + 37
Now, Simplify the expressions as,
1) 3x - 6 = 7x + 18
Add 6 on both sides,
3x - 6 + 6 = 7x + 18 + 6
3x = 7x + 24
Subtract 7x on both sides,
3x - 7x = 24
- 4x = 24
Divide both sides by - 4,
x = - 24/4
x = - 6
Hence, Solution is, x = - 6
2) 65 - 4² (10 - 2) + 37
Apply the BODMAS rule,
65 - 16 (8) + 37
65 - 128 + 37
65 + 37 - 128
102 - 128
- 26
Therefore, the Solution is, - 26
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