Answer:
Jennifer feeds total fishes is 280
Step-by-step explanation:
Tony feeds total fishes is 56
Jennifer feeds 5 times as many fish as Tony feeds
Jennifer [tex]=[/tex] 5 × Tony
[tex]=[/tex] 5 × 56
[tex]=[/tex] 280
Jennifer feeds total fishes is 280
Final answer:
Jennifer feeds 280 fish.
Explanation:
To find out how many fish Jennifer feeds, we need to perform a simple multiplication. Since Jennifer feeds 5 times as many fish as Tony, and Tony feeds 56 fish, we can write the following equation to represent the situation:
f = 5 × 56
We then multiply 56 by 5:
f = 280
So, Jennifer feeds 280 fish.
Which number line represents the solution of 5x + 3 ≤ -7? A) A B) B C) C D) D
Answer: x≤-2
Step-by-step explanation: Solve for x. (NUMBER LINE ATTACHED)
Hope this helps you out.
The solution of the inequality is shown in figure.
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ 5x + 3 ≤ - 7
Now,
Solve the inequality as;
⇒ 5x + 3 ≤ - 7
⇒ 5x + 3 - 3 ≤ - 7 - 3
⇒ 5x ≤ - 10
⇒ 5x/5 ≤ - 10/5
⇒ x ≤ - 2
Thus, The solution of the inequality is;
⇒ x ≤ - 2
Therefore, The solution of the inequality is shown in figure.
Learn more about the inequality visit:
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PLEASE HELP!!!
Acar depreciates at a rate kf 13% per year. the car was originally purchased for 28,000.
1. what is the decay factor of the car?
2. Wrtie a function for this situation with the value if the car as a function of the age of the car in years
3. How much will the car be worth in 6 years?
4. Rewrite the function for question 2 so it is an equivalent function with a negative exponent.
let (-3,-2) be a point on the terminal side of 0. find the exact values of cos0 csc0 and tan0
To find the exact values of cos(0), csc(0), and tan(0) given a point on the terminal side of 0, we can use the coordinates of the point to determine the values of the trigonometric functions.
Explanation:To find the exact values of cos(0), csc(0), and tan(0) given that (-3,-2) is a point on the terminal side of 0, we can use the coordinates of the point to determine the values of the trigonometric functions.
First, we can find the value of cos(0) by dividing the x-coordinate (-3) by the distance from the origin, which is sqrt((-3)^2+(-2)^2). Therefore, cos(0) = -3 / sqrt(13).
Next, we can find the value of csc(0) by dividing 1 by the y-coordinate (-2). Therefore, csc(0) = 1 / -2 = -1/2.
Finally, we can find the value of tan(0) by dividing the y-coordinate (-2) by the x-coordinate (-3). Therefore, tan(0) = -2 / -3 = 2/3.
I need help with this problem
will mark as brainliest
Answer:
The shop can cut the cost of production per sandwich to $3.75. The revenue function would then be defined as R(x)=9x.
Step-by-step explanation:
We want to make as big profit as possible by making as little sandwiches as possible. This means that we want the profit, which is [tex]revenue- production\: cost[/tex] to be as big as possible.
For the first choice the profit per sandwich is [tex]8.25-4=4.25[/tex] dollars.
For the second choice the profit per sandwich is [tex]9-3.75=5.25[/tex] dollars.
For the third choice the profit per sandwich is [tex]8.5-3.5=5[/tex] dollars.
We see here that for the second choice the profit is greatest, therefore this choice is most suitably correct.
Given that (-3,5) is on the graph of f(x), find the corresponding point for the function f(x) - 4.
Answer:
(- 3, 1 )
Step-by-step explanation:
Given f(x) then f(x) + c represents a vertical translation of f(x)
• if c > 0 then shift up by c units
• if c < 0 then shift down by c units
Thus for f(x) - 4
(- 3, 5 ) → (- 3, 5 - 4 ) → (- 3, 1 )
Y=10,000(0.97)x predict purchasing power of $10,000 ten years later
Answer:
It will be $7602.3
Step-by-step explanation:
The equation [tex] y = 10000(0.97)^{x}[/tex] gives the purchasing power of $10000 after x years.
Therefore, the sum of money $10000 will value [tex] 10000(0.97)^{x}[/tex] after x number of years.
Now, after 9 years i.e. x = 9 years, the sum value of $10000 will become [tex] y = 10000(0.97)^{9} = 10000 \times 0.76023 = 7602.3[/tex] dollars. ( Answer )
The cost of cleaning a rectangular ground is $120 per square m. Calculate the price to be paid if theatre length of ground is 145m and breadth is 85m
Answer:
it will cost $ 14,79,000
Step-by-step explanation:
Area of the rectangular theatre ground=L*B= 145*85= 12,325 m²
Cost of cleaning per square metre = $ 120
Total cost of cleaning = $120* 12,325= $ 14,79,000
How do you graph
y=3x and y=-x-8
Answer:
The points for the given two linear equation as
[tex]x_1 , y_1[/tex] = - 2 , - 6
[tex]x_2 , y_2[/tex] = - 2 , 6
The graph so plotted as shown
Step-by-step explanation:
Given as :
The two linear equation are
y = 3 x ........A and
y = - x - 8 .........B
Solving equation A and B
Now, Put The value of y from eq A into eq B
So, 3 x = - x - 8
Or, 3 x + x = - 8
Or, 4 x = - 8
∴ x = [tex]\dfrac{-8}{4}[/tex]
I.e x = - 2
Now , Put the value of x into eq A
∵ y = 3 x
∴ y = 3 × (-2)
I.e y = - 6
Again, Put the value of x into eq B
∵ y = - x - 8
∴ y = - 2 - (-8)
I.e y = 6
So, for x = - 2 , y = - 6
And for x = - 2 , y = 6
Hence , The points for the given two linear equation as
[tex]x_1 , y_1[/tex] = - 2 , - 6
[tex]x_2 , y_2[/tex] = - 2 , 6
The graph so plotted as shown . Answer
An exterior angle of a triangle is 140 degrees. If the non-adjacent angles are congruent, then what are the measures of all of the interior angles of the triangle?
The measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees
Solution:
Given that exterior angle of triangle is 140 degrees
The exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles
Given that adjacent angles are congruent
Let one of the non adjacent interior angles be "x"
x + x = 140
2x = 140
x = 70
So the two interior angles are 70 degrees and 70 degrees
Let us find the third interior angle
The angle sum property of a triangle states that the interior angles of a triangle always add up to 180 degrees
70 + 70 + third angle = 180
third angle = 180 - 70 - 70
third angle = 180 - 140
third angle = 40 degrees
Thus the measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees
Reggie Means invested part of $31,000 in municipal bonds that earn 7.5% annual simple interest and the remainder of the money in 8.5% corporate bonds. How much is invested in each account if the total annual interest earned is $2,475?
Answer:
Principal Invested in Municipal Bonds is $16,000
Principal Invested in Corporate Bonds is $15,000
Step-by-step explanation:
If;
Principal Invested in municipal bonds = a
Principal Invested in corporate bonds = b
then we have;
a + b = $31,000 --------------------------------Equation 1
0.075a + 0.085b = $2,475 ---------------Equation 2
From equation 1 we have;
a = 31,000 - b
By putting the values of a in Equation 2 we get;
0.075 (31,000 - b) + 0.085b = 2,475
2,325 - 0.075b + 0.085b = 2,475
0.01b = 150
b = $15,000
By putting the values of b in equation 1 we get;
a = $16,000
Final answer:
Reggie Means invested $16,000 in municipal bonds at 7.5% interest and $15,000 in corporate bonds at 8.5% interest to earn a total annual interest of $2,475.
Explanation:
Let the amount invested in municipal bonds be $x. Thus, the amount invested in corporate bonds will be $(31,000 - x). The municipal bonds earn 7.5% annual interest and the corporate bonds earn 8.5% interest. The total annual interest from both investments is $2,475.
To calculate the interest from municipal bonds, use the formula Interest = Principal × Rate × Time. The interest from municipal bonds is 0.075x (since 7.5% is the same as 0.075).
Similarly, for corporate bonds, the interest will be 0.085(31,000 - x). The sum of these interests equals $2,475:
0.075x + 0.085(31,000 - x) = 2,475
Solving this equation:
Multiply through by 100 to clear decimals: 7.5x + 8.5(31,000 - x) = 247,500Distribute the 8.5 and combine like terms: 7.5x + 263,500 - 8.5x = 247,500Simplify and solve for x: x = (247,500 - 263,500) / (7.5 - 8.5)Calculate x to find the amount invested in municipal bonds: x = $16,000. Therefore, the amount in corporate bonds is $16,000.The country of Freedonia has decided to reduce its carbon-dioxide emission by %35 each year. This year the country emitted 40 million tons of carbon-dioxide. Write a function that gives Freedonia's carbon-dioxide emissions in million tons, E(t), t years from today.
[tex]E(t) = 40(0.65)^t[/tex]
Step-by-step explanation:
Given,
Current quantity of emission, P = 40 millions,
Reduction in emission per year, r = 35% = 0.35,
Thus, the quantity of emission after t years,
[tex]E(t)=P(1-r)^t[/tex]
[tex]E(t) = 40(1-0.35)^t[/tex]
[tex]\implies E(t) = 40(0.65)^t[/tex]
Which is the required function.
To represent Freedonia's carbon-dioxide emissions E(t), t years from now with a yearly reduction of 35%, use the function E(t) = 40 * (0.65)^t, where 40 million tons is the current emission and 0.65 is the remaining percentage of emissions after reduction.
Explanation:The student is asking to write a function that models the carbon-dioxide emissions of Freedonia in million tons, E(t), t years from today, given that the emissions are being reduced by 35% each year. The current emission level is 40 million tons of carbon-dioxide.
To create this function, we need to take into account the exponential decay of the emissions due to the percentage reduction. The general form for exponential decay is given by the equation E(t) = E_0 × (1 - r)^t, where E_0 is the initial amount, r is the rate of reduction (as a decimal), and t is the time in years. For Freedonia, E_0 is 40 million tons, and r is 0.35. Therefore, the equation becomes E(t) = 40 × (1 - 0.35)^t.
40% of the children in a sports club play badminton. 25% of the children who play badminton also play squash. There are 11 children in the club who play both badminton and squash.
How many children are there in the sports club altogether?
Answer:
There are 110 children total in the sports club
Step-by-step explanation:
To get this answer, its actually easier than it seems. You might need a calculator however.
First you start with the 11 children who play both badminton and squash, then, you divide that by 0.25 (25%) to get 44.
Next you take 44 and divide it by 0.4 (40%) to get 110.
And there you go! If you want to make sure you got it right simply start with 110 and multiply it by 0.4 then multiply the number/decimal you get by 0.25. You should get 11 to confirm your answer :)
Round 5.19424860514 tho the 6 decimal
Answer:
It would be 5.1942486
Step-by-step explanation:
Becuase the 0 is after the 6 the 6 stays as it is and there is no need to round up or down
We're starting with 5.19424860514, and we need to round to the 6th decimal. 1st, we need to identify the 6th place. In this case, that is 8. Everything before that is the same no matter what. 5.19424 is our base. We need to look at the 860514. More specifically, the 86. 6 is over 4, so the 8 becomes a 9 using basic rounding rules. Therefore, our final answer is 5.194249
Hope this helps!
Everyone in a class of 30 students takes math and history. Seven students received an A in history and 13 received an A in math, including four that received an A in both courses. How many students did not receive an A in any of these two courses?
Answer:14
Step-by-step explanation:
30 students total.
7 received an a in history.
13 received an a in math.
4 received an a in both courses.
how many students did not receive an a in either course.
20 total received an a in history or math.
of these, 4 received an a in history and math.
those 4 are being counted twice.
once in history and once in math.
you need to subtract 4 from the number who got an a in history or an a in math to get a total of 16 students who got an a in history or in math.
this leaves 30 - 16 = 14 students who did not get an a in either course.
here's the breakdown.
14 students did not get an a in either course.
3 students got an a in history only.
9 students got an a in math only.
4 students got an a in both history and math.
total is 30 students.
Final answer:
To find how many students did not receive an A in either math or history, subtract the sum of students with As in both subjects (after adjusting for 4 students who received an A in both) from the total class size. It is found that 14 students did not receive an A in either subject.
Explanation:
To determine how many students didn't receive an A in either math or history, we can use the principle of inclusion-exclusion. Firstly, we have 30 students in total. We're told that 7 received an A in history and 13 in math, including four students who received an A in both subjects.
To avoid double-counting those four students, we add the number of students who received an A in history to the number who received an A in math, and then subtract the number who received an A in both:
Number of students with A in either subject: 7 (history) + 13 (math) - 4 (both) = 16 students
Then, we calculate the students who did not receive an A in either subject by subtracting those who received an A in at least one subject from the total class size:
Number of students without an A in any course: 30 (total students) - 16 (A in at least one subject) = 14 students
Therefore, 14 students did not receive an A in either math or history.
(Easy Points, Will mark Brainliest) What number is point A on the number line?
Answer:
1/4
Step-by-step explanation:
There are 7 points from 0 to 7/4. This means each point represents 1/4. Therefore A is 1/4
Answer:
1/4
Step-by-step explanation:
If you count back from the 7/4, A will be at the 1/4 point.
Hope this helps :)
A line passes though the points (7, 10) and (7, 20). Which statement is true about the line? It has a slope of zero because x2-x1 in the formula m=
Answer:
It has no slope because (x2-x1) in the formula [tex]m=\frac{y2-y1}{x2-x1}[/tex] is equal to zero, and the denominator of a fraction cannot be zero
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
the points (7, 10) and (7, 20)
substitute the values
[tex]m=\frac{20-10}{7-7}[/tex]
[tex]m=\frac{10}{0}[/tex] ----> is undefined
The line has a slope undefined ---> is a vertical line (parallel to the y-axis)
A quadrilaterals consecutive angles measure (3x+10), (9x+50), (4x), and (13x+10). Determine the value of x.
The value of x is 10
Step-by-step explanation:
We know that the sum of internal angles of a quadrilateral is 360 degrees
So,
Given
Angle 1 = A1 = 3x+10
Angle 2 = A2 = 9x+50
Angle 3 = A3 = 4x
Angle 4 = A4 = 13x+10
So,
[tex]A_1+A_2+A_3+A_4 = 360\\(3x+10)+(9x+50)+(4x)+(13x+10) = 360\\3x+10+9x+50+4x+13x+10 = 360\\3x+9x+4x+13x+10+50+10 = 360\\29x+70 = 360[/tex]
Subtracting 70 from both sides
[tex]29x+70-70 = 360-70\\29x = 290[/tex]
Dividing both sides by 29
[tex]\frac{29x}{29} = \frac{290}{29}\\x = 10[/tex]
Hence,
The value of x is 10
Keywords: Angles, Quadrilateral
Learn more about angles at:
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Please help I will mark previous
Answer:
[tex] \frac{5}{16}, \: 31.25\%[/tex]
Explain how to find 3 × 5 × 2
Answer:
30
Step-by-step explanation:
3x5=15
15x2=30
Answer:
30
Step-by-step explanation:
Multiply 3 by 5 which is 15 and them multiply by 2 which is 30
Complete the equation of the line through
(-8,8) and (1,-10).
use exact numbers
Y=
Answer:
Step-by-step explanation:
Find the equation of the line thru the points (2,1) and (3,5)
---------------------
This is a 2 step process. First find the slope of the line thru the points.
slope, m = diffy/diffx
m = (5-1)/(3-2)
m = 4
---------
Now use y = mx + b with either point to find b, the y-intercept.
y = mx + b
5 = 4*3 + b
b = -7
-------
Answer:
Step-by-step explanation:
Formula for calculating the equation of a line is expressed as shown below;
y = mx+c OR y-y1 = m(x-x1) where
m is the slope or gradient
c is the intercept (the point where the line cuts the y axis)
m = ∆y/∆x
m = y2-y1/x2-x1
Given the points (-8,8) and (1,-10).
x1 = -8, y1 = 8, x2 = 1, y2 = -10
m = -10-8/1-(-8)
m = -18/9
m = -2
The equation of a line can also be written as a point slope:
y-y1 = m(x-x1)
Substituting the value of x1, y1 and m into the equation we have;
y-8 = -2(x-(-8))
y-8 = -2(x+8)
y-8 = -2x-16
y= -2x-16+8
y = -2x-8
The equation of the line is y = -2x-8
What is 12001 ➗ 4180
Answer:
2.871052631578947
Step-by-step explanation:
this is exactly the answer.
Type the correct answer in each box. Use numerals instead of words.
Consider this quadratic equation.
x^2 + 2x + 7 = 21
The number of positive solutions to this equation is____.
The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is____.
Answer:
1 positive solution
2.87.
Step-by-step explanation:
x^2 + 2x + 7 = 21
x^2 + 2x - 14 = 0
The product of its roots = c/a = -14 so it will have 1 positive solution.
x = -2 +/- sqrt (2^2 - 4*-14) / 2
x = -1 +/- sqrt60/2
= -1 +/- 3.873
GreATest solution is 2.87
Only answer 28 ( I added this parentheses so that the thing would accept my question)
Answer:
(a). Number of protons in a chlorine atom = 17
(b). Atomic number of sodium = 11
Step-by-step explanation:
Let the number of protons in a sodium atom = x
Then, the number of protons in a chlorine atom = x + 6
Now, it is given that the atomic number of an element is equal to the number of protons per atom.
So, atomic number of sodium (Na) = x
Atomic number of chlorine (Cl) = x + 6
It is given that the atomic number of chlorine is 5 less than twice the atomic number of sodium.
∴ atomic number of chlorine (Cl) = 2 × atomic number of sodium (Na) - 5
⇒ x + 6 = 2x - 5
⇒ x - 2x = -5 - 6
⇒ -x = -11
Cancelling the minus sign from both sides, we get
x = 11
(a). Number of protons in a chlorine atom = x + 6
= 11 + 6 (∵ x = 11)
= 17
(b). Atomic number of sodium = x = 11
In a certain country, the heights and depths of a road are measured in relation to sea level. Sea level has a value of 0. The lowest point of the country lies at −9 feet. The highest point of the country lies at +108 feet. Which of the following statements best describes the lowest and the highest points?
1. The lowest point is 9 feet below sea level, and the highest point is 108 feet above sea level.
2. The lowest point is 9 feet above sea level, and the highest point is 108 feet below sea level.
3. The lowest point is 9 feet below sea level, and the highest point is 108 feet above the lowest point.
4. The lowest point is 9 feet above sea level, and the highest point is 108 feet below the lowest point.
Answer:
1. The lowest point is 9 feet below sea level, and the highest point is 108 feet above sea level.
Step-by-step explanation:
The sea level is considered to be zero levels.
Now, the level +x feet means it is at x feet higher than sea level and the level -x feet means it is at x feet lower than the sea level.
Now, the lowest point of the country lies at −9 feet. The highest point of the country lies at +108 feet.
That means, the lowest point is 9 feet below sea level, and the highest point is 108 feet above sea level. (Answer)
Rafael is on his way home in his car. His drive is 22 miles long. He has finished one-half of the drive so far, how far has he driven
Answe
Step-by-step explanation:
he has drive 11 miles of his drive
if you divide 22 by 2 it equals 11
Which of the following options is an equivalent function to f(x) = 4(3)2X?
f(x) = 36
f(x) = 4(9)
f(x) = 144
f(x) = 4(6x)
Answer:
[tex]f(x)=4(6x)[/tex]
Step-by-step explanation:
Given:
the given expression is.
[tex]f(x)=4(3)2x[/tex]
Simplify the given expression.
[tex]f(x)=4(3)2x[/tex]
[tex]f(x)=4(3\times 2x)[/tex]
[tex]f(x)=4(6x)[/tex]
Therefore, the option [tex]f(x)=4(6x)[/tex] is an equivalent function to [tex]f(x)=4(3)2x[/tex].
which system of inequalities is represented by the graph?
Answer:
[tex]y\leq 2x+4[/tex]
[tex]y\geq -x-6[/tex]
Step-by-step explanation:
step 1
Find the equation of the solid line with positive slope
we have the points
(0,4) and (-2,0)
Find the slope
[tex]m=(0-4)/(-2-0)=2[/tex]
The equation of the line in slope intercept form is equal to
[tex]y=mx+b[/tex]
we have
[tex]m=2\\b=4[/tex]
substitute
[tex]y=2x+4[/tex]
step 2
Find the equation of the inequality with positive slope
we know that
The solution of the inequality, is the shaded area below the solid line
so
The equation of the inequality is
[tex]y\leq 2x+4[/tex] ----> inequality A
step 3
Find the equation of the line with negative slope
we have the points
(-6,0) and (-4,-2)
Find the slope
[tex]m=(-2-0)/(-4+6)=-1[/tex]
The equation of the line in slope intercept form is equal to
[tex]y=mx+b[/tex]
we have
[tex]m=2\\point\ (-6,0)[/tex]
substitute
[tex]0=-(-6)+b[/tex]
solve for b
[tex]0=6+b[/tex]
[tex]b=-6[/tex]
so
The linear equation is
[tex]y=-x-6[/tex]
step 4
Find the equation of the inequality with negative slope
we know that
The solution of the inequality, is the shaded area above the solid line
so
The equation of the inequality is
[tex]y\geq -x-6[/tex] ----> inequality B
therefore
The system of inequalities is
[tex]y\leq 2x+4[/tex] ----> inequality A
[tex]y\geq -x-6[/tex] ----> inequality B
(PLEASE ANSWER ASAP; WILL MARK BRAINIEST)
The table shows y as a function of x. Suppose a point is added to this table. Which choice gives a point that preserves the function?
A) (9, 8)
B) (−6, 3)
C) (−5, −2)
D) (−3, −8)
Good evening ,
Answer:
D.Step-by-step explanation:
______________________________________________________
Note:
if f is a function then each number of the domain has an unique image.
______________________________________________________
since (regarding the table) the image of 9 is 6 then the answer A is wrong
The same apply on answers B and C .
then the right answer is D(-3,-8).
:)
Answer:
dddddddddddddddddd
Each box contains 10 to the power of 2 pencils. The school store has 15 boxes of pencils. How many pencil does the school store have
Answer:
1500
Step-by-step explanation:
10×10=100
100×15=1500
Max is buying bags of oranges each bag has 8 oranges when he opens the bag he finds that 12 of the total oranges are rotten what are the options for the number of bags he should buy in order to end up at least 40 good oranges
Answer: 7 bags
Step-by-step explanation:
Total no. of oranges rotten - 12
To buy no. of bags to get - at least 40 good oranges
No. of oranges in a bag - 8
40 + 12 = 52 oranges
As each bag contains 8 oranges and 52 is not divisible by 8 we end up taking the closest divisible number that is 54.
If we divide 54 by 8 we get 7.
Hence Max needs to buy 7 bags of oranges.
Note: As they have asked at least 40 good oranges