Subtraction is a mathematical operation that reflects the removal of things from a collection. The boulder.co bought 104 fishing rods.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
Given the cost price of all the fishing rods is $23,000, also the selling price of all the fishing rod is $49,000. Therefore, the total profit from this transaction is,
Profit = $49,000 - $23,000 = $26,000
Since the profit on a single fishing rod is $250, while the total profit is $26,000. Therefore, the number of fishing rods can be written as,
Number of Fishing rod = Total profit/ Profit per rod
= $26,000 / $250
= 104
Hence, the boulder.co bought 104 fishing rods.
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#5 In *triangle* ABC, AB = 9 and BC = 15. What is the range the possible lengths for CA?
Why?
Express 10cm as percentage of 50cm
Answer:
10 cm is 20% of 50 cm.
Step-by-step explanation:
1) Put the "question" into fraction form: 10/50
2) Divide the numerator by the denominator (essentially changing the fraction into the decimal form): 10 ÷ 50 = 0.2
3) Multiply the quotient by 100: 0.2 × 100 = 20
4) Slap a "%" on the end and you're good to go!! : 20%
Which equation is equivalent to y−3=4(x−5)?
y=4x−2y is equal to 4 x minus 2
y=−4x−23y is equal to negative 4 x minus 23
y=4x−17y is equal to 4 x minus 17
y=−17x+4
Answer:
y = 4x - 17
Step-by-step explanation:
y - 3 = 4(x - 5) ← distribute parenthesis by 4
y - 3 = 4x - 20 ( add 3 to both sides )
y = 4x - 17
(18 ÷ 2) × (56 ÷ 7) =
Answer: 72
Step-by-step explanation:
Step 1: Divide 18 and 2, which is 9
Step 2: Divide 56 and 7, which is 8
Step 3: Multiply 9x8 and get 72
Justin and elena each launched a toy rocket into the air. the height of justin’s rocket is modeled by the equation h = –16t2 60t 2. elena launched his rocket from the same position, but with an initial velocity double that of justin’s. which equation best models the height of elena’s rocket? h(t) = at2 vt h0 h = –16t2 60t 4 h = –32t2 120t 4 h = –32t2 60t 2 h = –16t2 120t 2
PLEASE HELP ME WITH THIS ASAP
Answer:
4 rows
Step-by-step explanation:
First set:
unknown rows, 5 tiles each
meaning old total is divisible by 5
Second set:
3 additional rows, 3 tiles each
meaning that the new total is divisible by 3
so, our total number of tiles is divisible by 5, add 1 and it is divisible by 3 when added 1
{another way I solved it : [and when it is divided by 3, it has 8 that fit into the original pattern; which is another way of knowing that each of the rows of 5 [each have 2 removed when turned into rows of 3] add up to having a remainder of 8 tiles; 8 / 2 = 4; so there were four rows in the original pattern contributing to the change--there were four rows] }
x is divisible by 5, x + 1 is divisible by 3
essentially, we are looking for a number that ends in 5 or 0, and the next number [ending in 6 or 1] is divisible by 3
I know that 5 goes into 20, and that 21 is divisible by 3, so let's test it out:
4 (rows of 5) turns into 7 [4 + 3] rows of 3
because 21 can be split into 7 rows, this number of tiles is possible
so, in the original pattern, there must have been 4 rows
hope this helps!! {so sorry if this confuses you, please let me know if I should explain my reasoning further}
have a lovely day :)
Complete the statements about the cross sections of cylinders and cones.
The cross section parallel to the base of a cone is a
The cross section parallel to the base of a cylinder is a
The cross section perpendicular to the base of a cone is a
The cross section perpendicular to the base of a cylinder is a
The cross-section parallel to the base of a cone is a circle
The cross-section parallel to the base of a cylinder is a circle
The cross-section perpendicular to the base of a cone is a triangle
The cross-section perpendicular to the base of a cylinder is a rectangle
there are 3 red pens, 4 blue pens, 2 Blac pens, and 5 green pens in drawer, suppose you choose a pen at random
help :(:
Answer:
1. 3/14
2. 2/7
3. 1/7
4. 5/14
5. 11/14
6. 9/14
Step-by-step explanation:
first get the total number of pens
3 red pens + 4 blue pens + 2 black pens + 5 green pens =
14 total number of pens
1. What is the probability that the pen chosen red?
3 red pens out of a total of 14 pens = 3/14
2. What is the probability that the pen chosen is blue?
4 blue pens out of a total of 14 pens = 4/14 -> simplified -> 2/7
3. What is the probability that the pen chosen is black?
2 black pens out of a total of 14 pens = 2/14 -> simplified -> 1/7
4. What is the probability that the pen chosen is green?
5 green pens out of a total of 14 pens = 5/14
5. What is the probability that the pen chosen is NOT red?
of the 3 red pens, 4 blue pens, 2 black pens and 5 green pens
4 blue pens, 2 black pens and 5 green pens are NOT red
4 blue pens + 2 black pens + 5 green pens =
11 total number of pens that are NOT red
11 total number of pens that are NOT red out of a total of 14 pens = 11/14
6. What is the probability that the pen chosen is NOT green?
of the 3 red pens, 4 blue pens, 2 black pens and 5 green pens
the 3 red pens, 4 blue pens, 2 black pens are NOT green
3 red pens + 4 blue pens + 2 black pens =
9 total number of pens that are NOT green
9 total number of pens that are NOT green out of a total of 14 pens = 9/14
gathmath.com
Given :-
Red pens = 3Blue pens = 4 Black pens = 2 Green pens = 5>> Total no. of outcomes = 3 + 4 + 2 + 5
>> Total no. of outcomes = 3 + 4 + 7
>> Total no. of outcomes = 10 + 4
>> Total no. of outcomes = 14
Solution 1 :-
We know,
P (E) = No. of possible outcomes / Total number of outcomes.As there are three red pens. Therefore,
P(E) = 3 / 14Solution 2 :-
We know,
P (E) = No. of possible outcomes / Total number of outcomes.As there are four blue pens. Therefore,
P(E) = 4 / 14Solution 3 :-
We know,
P (E) = No. of possible outcomes / Total number of outcomes.As there are two black pens. Therefore,
P(E) = 2 / 14Solution 4 :-
We know,
P (E) = No. of possible outcomes / Total number of outcomes.As there are five green pens. Therefore,
P(E) = 5 / 14Solution 5 :-
We know,
P (E) = No. of possible outcomes / Total number of outcomes.As there 11 pens that are not red (Green + black + blue).
P (E) = 11 / 14Solution 6 :-
We know,
P (E) = No. of possible outcomes / Total number of outcomes.As there are 9 pens that are not green (Red + blue + black).
P (E) = 9 / 14What is 850,000,000,000,000,000 divided by 860,000,000,000,000,000,000,000
the answer would be 9.88372093e-7
1 )Simplify.
[tex]\frac{850000000000000000}{8.6E}[/tex]+23
2 )Answer
9.88372093e-7
What function represents this graph??
The required piecewise function that represents the graph is given as:
[tex]f(x)=\left \{ {{y = -3x-10} \atop y=-\frac{1}{2}x-3 } \atop y=-2x-6 }} \right.[/tex]
Piecewise functionsThe graph consists of 3 lines with different equations and slopes. In order to determine the function it represents, we will create a piecewise function.
For the line crossing the negative x-axis
Using the coordinate points (-4, 2) and (-2, -4)
Slope = -6/2
Slope = -3
2 = -3(-4) + b
2 - 12 = b
b = -10
The equation of the line will be y = -3x-10
For the line crossing the negative y-axis
Using the coordinate points (-2, -4) and (2,-2)
Slope = 2/4
Slope = 1/2
-2 = 1/2(2) + b
-2 - 1 = b
b = -3
The equation of the line will be y = -1/2x-3
For the line crossing the positive x-axis
Using the coordinate points (2, -2) and (3, 0)
Slope = 2/1
Slope = 2
0 = 2(3) + b
0 - 6 = b
b = -6
The equation of the line will be y = 2x-6
The required piecewise function that represents the graph is given as:
[tex]f(x)=\left \{ {{y = -3x-10} \atop y=-\frac{1}{2}x-3 } \atop y=-2x-6 }} \right.[/tex]
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Fill in the table.
x y
-4 5
-2 3
0 1
2 -1
4 -3
This is a linear function which means that the domain and range are:
Domain:
Range:
*Reminder: another way to write negative infinity to positive infinity is
"all real numbers"
The domain of the linear function is a real number, and the range of the linear function is also a real number.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The table is given below.
x y
-4 5
-2 3
0 1
2 -1
4 -3
Then the linear function will be
y – 1 = [(5 – 1) / (- 4 – 0)] (x – 0)
y – 1 = -x
x + y = 1
Then the domain of the linear function is a real number and the range of the linear function is also a real number.
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Dry concrete can be made by mixing sand, gravel and cement
in the ratio 1: 2: 3. If you want 1800 kg of dry concrete,
how much of each will you need? Give your answers in
kilograms (kg).
A ratio shows how many times one number contains another.
Hence, the sand is in the ratio [tex]\frac{1}{6}[/tex] of the mixture is
[tex]\frac{1}{6}[/tex]×[tex]1800=300kg[/tex]
The Gravel is in the ratio [tex]\frac{2}{6}[/tex]×[tex]1800=600kg[/tex]
And the cement is in ratio [tex]\frac{3}{6}[/tex]×[tex]1800=900kg[/tex]
What is the ratio ?
A ratio is an ordered pair of numbers [tex]a[/tex] and [tex]b[/tex], written [tex]\frac{a}{b}[/tex] where [tex]b[/tex] does not equal [tex]0[/tex]. A proportion is an equation in which two ratios are set equal to each other.
Here the given ratio is [tex]1:2:3[/tex].
Here given that,
The dry concrete is [tex]1800kg[/tex].
And the multiplication of the ratio is [tex]1[/tex]×[tex]2[/tex]×[tex]3=6[/tex]
Hence, the sand is in the ratio [tex]\frac{1}{6}[/tex] of the mixture is
[tex]\frac{1}{6}[/tex]×[tex]1800=300kg[/tex]
The Gravel is in the ratio [tex]\frac{2}{6}[/tex]×[tex]1800=600kg[/tex]
And the cement is in ratio [tex]\frac{3}{6}[/tex]×[tex]1800=900kg[/tex]
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your favorite basketball player has an 90% free-throw percentage. In the next game that s/he plays they shoot 12 free throws. What is the probability that they make all 12
The probability that favourite basketball player make all 12 is 0.
Give 90% free- throw percentage of favourite basketball player and he has taken 12 shots in the game.
Probability is the chance of happening an event among all the events possible. It lies between 0 and 1.
This is a binomial probability question "makes" is what some writer call a "success". In the binomial probability distribution, the probability of r successes in trials is :
=[tex]nC^{r}[/tex][tex]p_{r}p^{r}(1-p)^{n-r}[/tex]
p is the probability of "success" n p r=n!/((n-r)!
n [tex]p_{n}[/tex]=0
In this problem , n=12, r=12,p=0.9. the probability of exactly 12 made shots out of 12 attempted is 12[tex]C_{12} (0.90)^{12} (1-0.90)^{0}[/tex].
=12!/12!(12-12)!*[tex](0.90)^{12}(0.10)^{0}[/tex]
=0
Hence the probability that they make all 12 is 0.
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If function g has the factors (x - 7) and (x + 6), what are the zeros of function g?
When a given function is written with factors in the form of ( x - r ), then r is a zero of the function.
Solving the QuestionWe're given:
Function g has factors (x-7) and (x+6)Therefore, the zeros of the function are 7 and -6.
Answer-6, 7
The zeroes of the function will be equal to ( 7, -6 ).
What is a quadratic equation?
It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given function:-
( x- 7 ) ( x+ 6 )As we can see that the quadratic equation in the factorized form is ( x - 7 ) ( x+ 6 ) so we will equate each factor to zero.
( x- 7 ) = 0
x = 7
( x+ 6 ) = 0
x = -6
Therefore zeroes of the function will be equal to ( 7, -6 ).
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the photography club has 36 memebers, 16 girls and 20 boys. what is the ratio of girls to boys in the photography club?
A. 5:6
B. 4:5
C. 5:4
Answer:
4:5
girls:boys
16:20
divide both by 4
4:5
PLEASE HELP MAX POINTS AND BRAINLIEST!!!
(04.03 MC)
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 7(1.06)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 13.29 mm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)
Part C: What is the average rate of change of the function f(d) from d = 4 to d = 11, and what does it represent? (4 points)
#1
As d is days
So days can't be negative
hence domain is W or Whole numbers set.
But according to the equation
y=7(1.06)^d13.29=7(1.06)^d1.06^d=1.898dln1.06=ln1.898d=1.79Round to next whole as it's no of days
d=2
Domain=[2,oo)
#b
Put d=0
f(0)
7(1.06)^(0)7It passes through (0,7)
But 0 is not in domain ,hence no y intercept in real
#C
f(11)
7(1.06)¹¹13.28f(4)
7(1.06)⁴8.83Rate of change
f(11)-f(4)/11-413.28-8.83/70.6It represents change in radius
please help me
i'll mark u as brainiest if u get it right
Answer: a) 46 minutes
b) 10:47
The basic knowledge for this is that 60 minutes = 1 hour
a) Question a asks for how long it took from a 10:34 bus from Mosley to reach Bamford. From the table you can see that the 10:34 bus reaches Bamford at 11:20. All you have to do is count from 10:34 to 11:20.
10:34 will become 11:00 at 10:60 right? Clock's generally don't show 10:60 but goes directly to 11:00 after 1 minute is passed at 10:59. So from 10:34 to 11:00, it takes 26 minutes. Remember the bus reaches at 11:20 so from 11:00 to 11:20, it takes 20 minutes. Now add them up:
26 minutes + 20 minutes = 46 minutes
Here you go! Total 46 minutes from Mosley to Bamford.
b) From question b, we can see that Trina did not ride the first bus or by any chance missed it because the bus left at 10:14 and she is at the station at 10:15. Now think it from your perspective! You missed the first bus and you are in a big rush. So to reach your destination as early as possible, you will obviously take the next earliest bus. The next bus is at 10:24 (Belton). So if we take the 10:24 bus in Belton, it reaches at 10:47 in Garton.
∩_∩
(„• ֊ •„)♡
┏━∪∪━━━━┓
hope it helped
┗━━━━━━━┛
Use properties to evaluate 3/4(1/5÷3/5)(-8).
A. 2
OB. 5
O C. -2
OD. -5
Answer:
C. -2
Step-by-step explanation:
Use A-P-E-X
How I solved it:
3/4(1/5÷3/5)(-8)
3/4(1/5×5/3)(-8)
3/4(1/3)(-8)
1/4(-8)=-2
Hope this helps!
If not, I am sorry.
If you vertically stretch the exponential function f(x)=2^x by a factor of 3 what is the equation of the new function
The new equation will become f(x) = 3([tex]2^{x}[/tex]).
The given information is the stretch factor which is 3 and the equation f(x)=[tex]2^{x}[/tex].
When there is a vertical strecth factor, you need to multiply the equation by the stretch factor.
By stretching the function, the value of y has to be multiplied by 3, will now be equal to 3f(x)
The new equation will become f(x) = 3([tex]2^{x}[/tex]).
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A B Find the solution to this equation. 32x = 8(4x + 2) - 16 All real numbers No solution 22 International Academy of Science. All Rights Reserved. A B Find the solution to this equation . 32x = 8 ( 4x + 2 ) - 16 All real numbers No solution
Answer: The answer for this problem is all real numbers or R.
Step-by-step explanation: In order to solve first you must deal with what's inside the parenthesis.
[tex]8(4x+2)=8*4x + 8*2= 32x +16[/tex]
Now that the parenthesis is out of the picture, now proceed to subtract the 16 that was outside of the parenthesis.
[tex]32x+16-16=32x[/tex]
You should then have an equation set up like so.
32x = 32x
Now you need to move one of the 32x's to the other side of the equation.
[tex]32x-32x=0[/tex]
Your final equation should be.
0 = 0
So, all real numbers (R) will work for this equation.
The graph represents the piecewise function:
Answer:
in the attachment
Step-by-step explanation:
Given: Piece-wise function graph.
We need to find the function.
In the graph, we can see a two-piece
For -3≤x≤0
Endpoints on graph (-3,-6) and (0,0)
It is the horizontal line. The equation of the horizontal line is y=k.
Equation: y=3
Now, we write as a piecewise function.
First blank = 2x
Second Blank = 3
hope this helps:)
help me now I need answer IMG
The height of the shorter cone is 6.81cm
What is a cone?A cone is hollow three-dimensional shape with side lengths that tappers from the base to a point at the vertex.
Analysis:
Let the radius of the first cone be = r
radius of shorter cone = R
height of first cone = h
height of shorter cone = H
if volume of the two cones are same
1/3π[tex]r^{2}[/tex]h = 1/3π[tex]R^{2}[/tex]H
[tex]r^{2}[/tex]h = [tex]R^{2}[/tex]H
H = [tex]r^{2}[/tex]h / [tex]R^{2}[/tex]
H = [tex](8.5)^{2}[/tex]x 10 / [tex](10.3)^{2}[/tex] = 6.81cm
In conclusion, the height of the shorter cone is 6.81cm
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What is the volume of the cone shown below?
A. 1344 cu. units
B. 504 cu. units
C. 4032 cu. units
D. 2016 cu. units
Volume = PI x r*2 x h/3
r = radius which is shown as 8
h is the height which is shown as 63
Volume = 3.14 x 8^2 x 63/3
Volume = 3.14 x 64 x 21
Volume = 4,220.16 cubic units.
Which of the equations have only 1 solution -5x+12=5x-5
Answer:
in the pic...
Step-by-step explanation:
Hope it Helps!!!
A square with side lengths 12 feet. 4 2 feet by 2 feet squares are cut out of each corner of the square.
Tariq designed the pool shown. The owner of the pool has one square cover to use. Find the area of the space that needs to be covered. (The four corners are squares.)
The area that needs to be covered is
ft2.
Answer:
132ft^2
Step-by-step explanation:
What is the range of the function shown
in the graph?
QUESTION 2
Evaluate x4 + 5x3-3x2 + 11x - 6 for x = 3
Answer:
The answer is (-84)
putting the value of X =(- 3)
2) X = 216
Hello!
We are going to evaluate the expression with our given x-value for question 2.
We know that our expression is: x^4 + 5x^3 - 3x^2 + 11x - 6
We also know that our x-value = 3
We will simply plug in "3" to "x" in our expression and solve.
Solve:
x^4 + 5x^3 - 3x^2 + 11x - 6
Plug in 3 to x:
(3)^4 + 5(3)^3 - 3(3)^2 + 11(3) - 6
Simplify:
(3)^4 + 5(3)^3 - 3(3)^2 + 11(3) - 6
81 + 5(3)^3 - 3(3)^2 + 11(3) - 6
81 + 135 - 3(3)^2 + 11(3) - 6
81 + 135 - 27 + 33 - 6
216 - 27 + 33 - 6
189 + 33 - 6
222 - 6 = 216
Therefore, our final answer would be 216.
Answer:
216
what is the ratio 3:1
Answer:
3:1
Step-by-step explanation:
3 and 1 is not divisible by any number
This year, a small business had a total revenue of $40,700. If this is 26% less than their total revenue the previous year, what was their total revenue the previous year?
f) 234x +(234x)⁰ (x0)
Answer:
the answer is 0
Step-by-step explanation:
because anything multiply by 0 is 0.
Can make me the brainliests answerer?Please