Answer:
14 problems worth 5 points and 15 problems worth 2 points
Is the correct answer
Step-by-step explanation:
The solution are;
⇒ x = 14
⇒ y = 15
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The system of equation for given condition is;
⇒ x + y = 29, 5x + 2y = 100
Now,
Since, The system of equation for given condition is;
⇒ x + y = 29 ..(i)
⇒ 5x + 2y = 100 ..(ii)
Solve both the equation, we get;
⇒ 5x + 5y = 145
Subtract from (ii), we get;
⇒ 5y - 2y = 145 - 100
⇒ 3y = 45
⇒ y = 15
And, x + y = 29
x + 15 = 29
x = 29 - 15
x = 14
Thus, The solution are;
⇒ x = 14
⇒ y = 15
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Today there are 3,431 thousand elementary and secondary teachers employed in a certain country. This number is expected to increase to 3,732 thousand teachers by the next decade. What is the percent increase?
A = old value = 3431
B = new value = 3732
C = percent change
C = [ (B-A)/A ] * 100%
C = [ (3732-3431)/3431 ] * 100%
C = (301/3431) * 100%
C = 0.0877 * 100%
C = 8.77%
Answer: Roughly an 8.77% increaseNote: if C was a negative value, then we'd have a percentage decrease
20 POINTS!! WILL GIVE BRAINLIEST!! ANSWER SOON PLEASE!!
You own a restaurant and want to “carpet” the floor with coins. What kind of coin would you use and why? How much would it cost to cover the floor with the coin you chose? Explain your reasoning. Include calculations in your reasoning.
Answer: I would use pennies. It is the lowest cost per unit of area.
The cost of the "penny carpet" would be about $ 5,319
Step-by-step explanation:
Each penny is 19.05mm or 1.905cm in diameter 100 centimeters per meter, so 100/1.905 = 52.493 pennies per meter in width, Squared to find number per square meter: 52.493² = 2755.5
The total area of the floor is 23 × 12 in the main area and 3×3 in the entrance,
184 m² + 9 m² = 193 m² . Multiplied by the cost per square meter, $27.56
Total cost: $5,919
The closest comparison would be the nickel. At 2.121 cm, it would take slightly fewer coins per m² , about 2223, but at $0.05 each, the cost per m² is about $111.15. The nickel carpet would cost 4 times as much as the penny carpet.
What is the inequality shown?
Answer:
-3 =< x < 2
Step-by-step explanation:
-3 is less than or equal to x
x is less than +2
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Inequalities.
So basically here, we can see that, the dark dot indicates the closed bracket and white dot shows the open bracket.
so finally we get as,
=>
-3<=X<2
or we can write as,
=>
[-3,2)
The polynomial 6x2 + x − 15 has a factor of 2x − 3. What is the other factor? A. 3x − 5 B. 3x + 5 C. 4x − 5 D. 4x + 5
Answer:
B: 3x+5
Step-by-step explanation:
You can solve this equation by doing the following steps:
6x2 + x - 15 is your polynomial. So take your polynomial and factor it down.
6x^2 + x - 15 = 6x^2 - 9x + 10x - 15 = 3x(2x - 3) + 5(2x - 3) = (3x+5)(2x - 3).
Check your answers again.
A) 3x - 5
Would this be possible considering our last answer? Which was (3x + 5)(2x - 3). No, it's not adding, so it's wrong.
B) 3x + 5
Could this be possible? Yes, it could because it has the first half of our answer. (3x + 5), keep this in mind.
C) 4x - 5
There was no 4 in the last part, so no. It's wrong. We're working with 2, 3, and 5 only. No 4.
D) 4x + 5
Again, no 4. Make sure to double-check your answers before clicking.
The answer is B) 3x + 5. Hope you found this helpful! Have a wonderful day and stay safe! (/O^O)/ *...........................
Answer:
3/5 or 0.6
Step-by-step explanation:
Here, given the value of tan theta , we want to find the value of sine theta
Mathematically;
tan theta = 0pposite/adjacent
Sine theta = opposite/hypotenuse
Firstly we need the length of the hypotenuse
This can be obtained using the Pythagoras’ theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides.
Let’s call the hypotenuse h
h^2 = 3^2 + 4^2
h^2 = 9 + 16
h^2 = 25
h = √(25)
h = 5
Now from the tan theta, we know that the opposite is 3
Thus, the value of the sine theta = 3/5 or simply 0.6
Marco is investigating some of the business models of SureSpin, one of Faster Fidget's top competitors. He has learned that they model their cost of production for one type of spinner with the function C(x) = 13,450 + 1.28x, where x is the number of spinners produced. Interpret the model to complete the statement. Type the correct answer in each box. Use numerals instead of words. Based on the model, the fixed cost of production is $
Answer:
$13,450
Step-by-step explanation:
The fixed costs of production, are the costs incurred that are independent from the production volume, that is, regardless of how many spinners the company produces, those costs will remain the same. If 'x' is the number of spinners produced, interpreting the cost function, we can see that it costs $1.28 to produce each spinner and that there is a cost that does not rely on production of $13,450. Therefore, the fixed cost of production is $13,450.
please help me 4 1/7 + 1/2
Answer:
Exact Form:65/14
Mixed number Form:4 9/14
Step-by-step explanation:
Answer:
4 9/14
as an improper fraction: 65/14
hopefully this helped :3
HELP NOW PLZ 20-30 POINTS FOR BRAINLIEST LOOK AT MY PROFILE FOR THE SAME QUESTION WITH MORE POINTS Step 1: Write a quadratic equation in standard form choosing your own coefficients and constant! (Recall: Standard Form of a quadratic equation is Ax^2 + Bx + C ). You need to choose a value for A, B, and C that satisfies each of the following conditions. You can use a value of 0 for B for no more than 1 of the 5 questions! Step 2: Solve each of the equations you create. YOU MUST SHOW YOUR WORK TO RECEIVE CREDIT FOR THIS STEP! Write your Exact answer in simplest form AND if necessary, round your estimate to the nearest tenth. 1) Equation 1 should represent a parabola that opens up and has a negative y-intercept. Equation 1: ____________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation: 2) Equation 2 should represent a parabola that opens down and has a negative y- intercept. Equation 2:___________________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation: 3) Equation 3 should represent a parabola that is a vertical stretch of the parent function and has a y-intercept greater than 3 and opens down. Equation 3:___________________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation: 4) Equation 4: You decide what type of parabola you would like to create by answer the following questions: Does your parabola open up or down? _______________ Is there a vertical stretch or vertical compression? _______ What is the y-intercept? __________ Equation 4: ____________________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation: 5) Write a quadratic equation that can only be solved using the quadratic formula. Equation 4: _________________________________________________________________ Show your work for how you use the quadratic formula to solve this equation:
Step-by-step explanation:
Equation 2: -[tex]x^{2}[/tex] + 3x - 6
Equation 2 should represent a parabola that opens down and has a negative y-intercept.
Parabola that opens down = a<0
Ax^2 + Bx + C
-[tex]x^{2}[/tex] + 3x - 6
Negative y-intercept: -(0)^2 +3(0) -6 = y= -6
Strategy to solve: Quadratic formula
Why? - This equation doesn't factor cleanly.
Show your work:
a= -1 b= 3 c= -6
Write the quadratic formula down ([tex]x= \frac{-b + \sqrt{b^{2} - 4ac } }{2a}[/tex]) ± not just +
Show step, solve.
x= 1.5 + 1.9365i
Equation 3:
Sorry, I can't do this.
Equation 4 :[tex]x^{2} -1[/tex]
You decide.
Alright, easy parabola.
1. Does parabola open up or down. UP
2. Is there a vertical stretch or compression? NO
3. What is the y-intercept- (0,-1)
[tex]x^{2} -1[/tex]
Strategy: Simple factoring patterns (Difference of squares) -
(x+1)(x-1)
x = + 1
Show work: x^2 is square of x,
Equation 5: [tex]x^{2} -3x+15[/tex]
x^2−3x+15
a=1 b= -3 c=15
([tex]x= \frac{-b + \sqrt{b^{2} - 4ac } }{2a}[/tex]) ± not just +
Good luck! Sorry that I couldn't do equation 3, vertical stretches are not my thing.
Find the lateral area of the cone in terms of pi.
To find the lateral area of a cone, use this formula:
[tex]\pi r\sqrt{h^2+r^2}[/tex]
where r is the radius (in this case, 11) and h is the height (in this case, 26)
Try plugging the values in. If you need additional help, feel free to ask!
Which coin is worth $2.00? *
A diamond coin? or a really fancy coin?
Answer:
the austraillian $2 coin
Step-by-step explanation:
What is the solution to the equation
?
1/x=x+3/2x2
Answer:
x = 0 , 3
Step-by-step explanation:
[tex]\frac{1}{x}=\frac{x+3}{2x^{2}}\\\\1*2x^{2}=x*(x+3)\\\\2x^{2}=x*x+x*3\\\\2x^{2}=x^{2}+3x\\\\2x^{2}-x^{2}-3x = 0\\\\x^{2}-3x =0\\\\x(x-3)=0[/tex]
x = 0 ; x - 3 = 0
x = 0 ; x = 3
Which expressions is not polynomial
Answer: c
Step-by-step explanation:
If A=2+i, O=-4, P=-i, and S=2+4i, find A-O+P+S.
==================================================
Work Shown:
A = 2+i
O = -4, this is the letter 'oh' not to be confused with the number zero
P = -i
S = 2+4i
A-O+P+S = (2+i) - (-4) + (-i) + (2+4i)
A-O+P+S = (2+i) + 4 + (-i) + (2+4i)
A-O+P+S = (2+4+2) + (i-i+4i)
A-O+P+S = 8+4i
Simplify 5x5^2 leaving answers in index form
Answer:
5^3
Step-by-step explanation:
5*5^2
We are multiplying when the bases are the same
5^1 * 5^2
Add the exponents
5^(1+2)
5^3
Answer:5^3
Step-by-step explanation:Its a fact
Which expressions are equivalent to 6 +(–x) + 2x + (–7) + 2x? Check all that apply. Which expression is equivalent to 2(a+2b)-a-2b
Answer:
1 and 3
Step-by-step explanation:
The equation can be arranged to form equations 1 and 3.
Hope this helps!!! Please mark brainliest and thanks!!
2/3 x +3 =1/4x-7
solve with work
Answer:
x=-24
Step-by-step explanation:
2/3 x +3 =1/4x-7
8/12x+3= 3/12x-7
5/12x + 3 = -7
5/12x = -10
5/12x (12/5) = -10(12/5)
x=-120/5
x=24
What is the total cost of troys order?
PLEASE HELP ME WITH THIS QUESTION :0
Two ships are located 200 m and 300 m respectively from a lighthouse. If the angle formed by their paths to the lighthouse is 96°. What is the distance between the two ships?
Answer:its from applications of trignometry
The distance between the two ships is 377.54 m.
Given that, two ships are located 200 m and 300 m respectively from a lighthouse and the angle formed by their paths to the lighthouse is 96°.
We need to find the distance between the two ships.
What is the cosine rule to find the side?The cosine rule is c²=a²+b²-2abcosC
Now, c²=200²+300²-2×200×300cos96°
⇒c²=40000+90000-1,20,000×(-0.1045)
⇒c²=40000+90000+12,540
⇒c=377.54 m
Therefore, the distance between the two ships is 377.54 m.
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For what value of k will k + 9, 2k -1 and 2k + 7 are the consecutive terms of an A.P.?
Answer:
18
Step-by-step explanation:
Since, k + 9, 2k -1 and 2k + 7 are the consecutive terms of an A.P.
Therefore, their common differences would be same.
Hence,
(2k - 1) - (k + 9) = (2k + 7) - (2k - 1)
2k - 1 - k - 9 = 2k + 7 - 2k + 1
k - 10 = 8
k = 8 + 10
k = 18
To write a fraction as a decimal, you divide the denominator by the numerator.
Answer:
"The decimal number is just a shorthand way of writing a fraction with a denominator of one thousand. It means the very same thing as . But this is just the algorithm for dividing the numerator by the denominator to get the decimal digits ."
Step-by-step explanation:
I promise I will mark as brainiest How many minutes is it before 12 noon, if 48 minutes ago it was twice as many minutes past 9 a.m.? i want step by step explanation
Answer:
9:00 am -------------------- 12:00pm ( There are 180 minutes between them)
Go 48 minutes back (132 Minutes between them)
That time is divided by 2
(4x minutes past 9:00 and x minutes left to reach 12:00)
132/3 = 44 minutes are left
OR
12:00- 44 minutes = 11:16
11:16-48 minutes =10:28
9 am + 88minutes (44 x 2) = 10:28
Any point on the parabola can be labeled (x,y), as shown. What are the distances from the point (x,y) to the focus of the parabola and the directrix? Select two answers.
distance to the focus: (x+3)2+(y−3)2−−−−−−−−−−−−−−−√
distance to the focus: (x−2)2+(y+3)2−−−−−−−−−−−−−−−√
distance to the focus: (x+3)2+(y−2)2−−−−−−−−−−−−−−−√
distance to the directrix: |x−4|
distance to the directrix: |y−4|
distance to the directrix: |y+4|
Answer:
Step-by-step explanation:
Standard form of the equation:
y = [tex]-\frac{1}{4} (x+3)^2+3[/tex]
Directrix: y=4
Focus: (-3,2)
Points on the parabola (x,y):
(-5,2) (-3,3) (-1,2)
Distance from points to focus:
(-5,2) = (-3,2)
Answer choices: (x+3)^2+(y−3)^2, (x−2)2+(y+3)2, (x+3)2+(y−2)2
(-5+3)^2+(2-3)^2=5
(-5-2)^2+(2+3)^2=74
(-5+3)^2+(2-2)^2=4
(-1,2)
Please can somebody work out the mean? I'm struggling! <3
Step-by-step explanation:
The formulae for median is
N=£f/2 that is the sum of frequency divide by two
Median =Nth term + (N + 1)th term divide by two
first of all do the cumulative frequency which is
2+0=2
2+8=10
10+4=14
14+10=24
24+6=30
therefore N=£f/2
N=30/2
=15
when you use the formulae
it will be 15+(15+1)/2
then check the cumulative frequency the value close to the range of 15 and 16 which is 14
then you trace 14 back to the conceded goals
which is 2
then you add 2+2 and divide by two
which is= 2
therefore the median is 2
Mean
formulae
mean=conceded goals multiply by the frequency/sum of frequency
0*2=0.
1*8=8
2*4=8
3*10=30
4*6=24
total is 70
sum of frequency is 10
according to the formulae 70/10=7
therefore the mean is 7
In circle o, the length of radius OL is 6 cm and the length
of arc LM is 6.3 cm. The measure of angle MON is 75º.
Rounded to the nearest tenth of a centimeter, what is the
length of arc LMN?
L
0 7.9 cm
6.3 cm
O 10.2 cm
6 cm
M
0 12.6 cm
0 14.2 cm
0 75
N
Answer:
14.2cm
Step-by-step explanation:
The diagram representing the circle and its attributes has been attached to this response.
As shown in the diagram;
The circle is centered at o,
The length of radius OL = 6cm
The length of the arc LM = 6.3cm
The angle MON = 75°
The angle LOM = θ
Remember that;
The length, L, of an arc is given by;
L = (θ / 360) x (2πr) -------------(i)
Where;
θ is the angle subtended by the arc
r = radius of the circle.
Using the formula in equation (i), let's calculate the angle θ subtended by arc LM as follows;
L = (θ / 360) x (2πr)
Where;
L = length of arc LM = 6.3cm
r = radius of the circle = length of radius OL = 6cm
Substitute these values into the equation to get;
6.3 = (θ / 360) x (2 x π x 6)
6.3 = (θ / 360) x (12 x π)
6.3 = (θ / 30) x (π) [Take π = 22/7]
6.3 = (θ / 30) x (22 / 7)
θ = [tex]\frac{6.3*30*7}{22}[/tex]
θ = 60.14°
Therefore, the angle subtended by arc LM is 60.14°
Now, from the diagram,
The angle subtended by arc LMN is;
θ + 75° = 60.14° + 75° = 135.14°
Let's now calculate the length of arc LMN using the same equation (i)
L = (θ / 360) x (2πr)
Where;
L = length of arc LMN
θ = angle subtended by LMN = 135.14°
r = radius of the circle = length of radius OL = 6cm
Substitute these values into the equation;
L = (135.14° / 360°) x (2 x π x 6) [Take π = 22/7]
L = 14.15cm
Therefore, the length of arc LMN is 14.2cm to the nearest tenth.
Answer:
14.2
Step-by-step explanation:
Edge
URGENT MATH PROBLEM!!!!!
Complete the following theorem.
Answer:
m⊥n
Step-by-step explanation:
the answer is n⊥m
here is a question :D
Answer:
a) 1 : 4
b) 60 : 180 or 1 : 3
Step-by-step explanation:
Answer:
a. 1:4
b. 1:3
Step-by-step explanation:
Let’s start with a.
So the ratio 14:56 can be divided in two to 7:28 and they are both divisible by 7 we its most simplified form is 1:4 because 28/7 is 4 and 7/7 is 1.
Now for b.
So if 240 were sold in total and 180 of them were online them doing 240-180, 60 of them were sold in person so the ratio is 60:180 which can be simplified to 30:90 to 15:45 to 3:9 to 1:3.
Need help finding the value of Z
Answer:
4√7
Step-by-step explanation:
hyp1(9)/alt(x)=hyp2(7)/alt(x)
By cross multiplication, x^2 = 63
thus, alt = √63
Then, with Pythagorean theorem, (√63) ^ 2 + 7 ^ 2 = z ^ 2
Thus, 63 + 49 = z ^ 2
Thus, 112 = z ^ 2
Thus, z = √112
Thus, z = 4 √7
PLS help 10 points & will give brainliest PLEASE bruh
Answer:
I hope it is correct ✌️
HELPPPPPP ASAP!!!!!!!!!!!!!!!!!!!!!!! PLS DO NOT LOOK IT UP
Answer:
The constant proportionality of the table above is 16.
Step-by-step explanation:
In order to solve this problem, you must divide the weight of cat food by the number of bags. You must also continue doing this for each of the ratios shown in the table.
64 ÷ 4 = 16
80 ÷ 5 = 16
96 ÷ 6 = 16
So, the proportionality of the table is 16. As you can see, when we divided the numbers, they all had a quotient of 16, which is our proportion.