The maximum number of students, x, who could attend the movie are,
⇒ x ≈ 21
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
A teacher can spend as much as $125.00 to take students to a movie.
And, A movie theater charges a $10.00 group fee and $5.50 per ticket.
Let maximum number of students, x, who could attend the movie = x
Hence, We can formulate;
5.50x + 10 ≤ 125
Solve for x;
5.50x ≤ 125 - 10
5.50x ≤ 115
x ≤ 115 / 5.50
x ≤ 20.90
x ≈ 21
Thus, The maximum number of students, x, who could attend the movie are,
⇒ x ≈ 21
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you have a plate with 83 brownies on it you just saw your friend take 62 brownies from the plate how many are left on the plate?
Answer:
21 brownies
Step-by-step explanation:
Answer:
21 brownies.
Step-by-step explanation:
83 - 62 = 21
So there are 21 brownies left on the plate.
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Members of a youth group held a bake sale to raise money for their summer trip. They sold 30 cakes, 40 pies, and 200 giant cookies, and raised a total of $684.50. The price for a pie was $2.00 less than the price of a cake. The price of a cake was 5 times as much as the price for a giant cookie. Find the price for each item at the bake sale
Answer: Cost of a giant cookies = $1.39
Cost of a cake= $6.95
Cost of a pie= $4.95
Step-by-step explanation:
Let price of a giant cookie = x
Then,
price of a cake = 5x
Price of a pie = 5x-2
Cost of 30 cakes, 40 pies, and 200 giant cookies = 30 (5x)+40(5x-2)+200x
= 150x+200x-80+200x [By distributive property a(b+c)=ab+ac]
= 550x-80
Given cost = $684.50
[tex]\Rightarrow\ 550x-80=684.50\\\\\Rightarrow\ 550x= 684.50+80[/tex]
[tex]\Rightarrow\ 550x=764.50\\\\\Rightarrow\ x=\dfrac{764.50}{550}\\\\\Rightarrow\ x=1.39[/tex]
Cost of a giant cookies = $1.39
Cost of a cake = 5 x $1.39 = $6.95
Cost of a pie = $6.95 - $2 = $4.95
1. Which of the given equations are linear?
P=$4130,r=?,t=155 days, I=$115.58
Answer:
r = 6.5902%
Step-by-step explanation:
I = Prt
since the time is in days, it needs to be converted to years.
t = 155/365 = 0.424658
115.58 = (4130) r (0.424658)
115.58 = 1753.8045 r
115.58/1753.8054 = r
0.065902 = r
then, converting r decimal to a percentage
r = 0.065902 x 100 = 6.5902 %
(4p^4)^2 without exponents
Answer:
(4p x 4) x 2 = 16p x 2 = 32p
Step-by-step explanation:
The required simplification is (4p⁴)² = 256p⁸.
What are the rules of exponents?Some of the rules of exponents are as follows,
The product of two exponents having the same power is equal to the power of their base multiplied.
The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.
The given expression is as below,
(4p⁴)²
Without using the exponents the given expression can be simplified as follows,
The power to any number simply means that the number will be multiplied to itself as many number of times. this basic rule is used to obtain result as,
(4p⁴)²
= (4p × 4p × 4p × 4p)²
= (16p⁴)²
= 16p⁴ × 16p⁴
= 256 × (p × p × p × p × p × p × p × p)
= 256p⁸
Hence, the given expression can be simplified as 256p⁸.
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What is the distance of Point A (4-i) from the origin of the complex plane?
Square root of 15
15
Square root of 17
17
Please someone help I will rate 5 stars
Answer:
1st im not sure
.
.
.
.
.pls rate 5 stars
Question 1 of 10
On a timeline, a milestone 6 years in the future will be to the
of a
milestone 3 years in the future and to the
of a milestone 12 years
in the future.
O A. right; right
O B. left; left
C. right; left
D. left; right
Answer: right, left
Step-by-step explanation:
I need help with this geometry question
Answer:
A=82
b=71
c=71
d=54
e=44
f=109
g=73
can someone tell me whats the different between 4.091 and 2.174
Answer:
1.917
Step-by-step explanation:
The difference between 4.091 and 2.174 will be;
⇒ 1.917
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The numbers are,
⇒ 4.091 and 2.174
Now,
Since, The numbers are,
⇒ 4.091 and 2.174
Hence, The difference the number 4.091 and 2.174 is,
⇒ 4.091 - 2.174
⇒ 1.917
Thus, The difference between 4.091 and 2.174 = 1.917
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Which one would the equation be?
Answer:
a. [tex] y = \frac{2}{5}x - 6 [/tex]
Step-by-step explanation:
The slope-intercept form of equation of a line is given as [tex] y = mx + b [/tex]. Where,
m = slope
b = y-intercept.
Rewrite the equations, [tex] 2x - 5y = 12 [/tex] and [tex] 4y + 24 = 5x [/tex], in the slope-intercept form by making y the subject of the formula. Then, derive our new equation that has the same slope as the first equation, and the same y-intercept as the second equation.
[tex] 2x - 5y = 12 [/tex]
[tex] 2x - 12 = 5y [/tex]
Divide both sides by 5
[tex] \frac{2x - 12}{5} = \frac{5y}{5} [/tex]
[tex] \frac{2x}{5} - \frac{12}{5} = y [/tex]
Rewrite
[tex] y = \frac{2x}{5} - \frac{12}{5} [/tex]
The slope of [tex] 2x - 5y = 12 [/tex] is ⅖.
[tex] 4y + 24 = 5x [/tex]
[tex] 4y = 5x - 24 [/tex] (subtraction property of equality)
Divide both sides by 4
[tex] \frac{4y}{4} = \frac{5x - 24}{4} [/tex]
[tex] y = \frac{5x}{4} - \frac{24}{4} [/tex]
[tex] y = \frac{5x}{4} - 6 [/tex]
The y-intercet of [tex] 4y + 24 = 5x [/tex] is -6
Therefore, the equation that has the same slope as the first equation and the same y-intercept as the second equation would be:
[tex] y = mx + b [/tex]
Plug in the values of m and b
[tex] y = \frac{2}{5}x + (-6) [/tex]
[tex] y = \frac{2}{5}x - 6 [/tex]
3.1 plus 7.4 plus 6.9
Answer: 17.4
Step-by-step explanation:
There isn't much to it... it's basic addition.
I guess if you were not using a calculator you would set it up like this:
3.1
+7.4
+6.9
---------
17.4
Answer:
17.4
Step-by-step explanation:
if you estimate all of these you get 3,7, and 7, these(added together) are 17,
You've w How many solutions does this equation have? 10y = 10y - 2
no solution
one solution
infinitely many solutions
Answer:
no solution
Step-by-step explanation:
Subtract 10y from both sides of the equation:
10y -10y = 10y -10y -2
0 = -2 . . . . FALSE
There are no values of y that will make this be true. The given equation has NO SOLUTION.
someone help it’s due in a couple of min
Answer: A $5800
Step-by-step explanation:
His parents cover 9100+ the scholarship for 3300=12400
what is 4/3 divided by 5/3
Answer:
4/5
Step-by-step explanation:
4/3 ÷ 5/3
Copy dot flip
4/3 * 3/5
Rewriting
4/5 * 3/3
4/5
Answer:
Step-by-step explanation:
The answer is 0.8
Does this equation represent a function?
Answer Yes
Answer:
yes
Step-by-step explanation:
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The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. a) you watch a roulette wheel spin 5 times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot the next spin? b) you watch a roulette wheel spin 330 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin?
Answer:b
Step-by-step explanation:
Find the value of g when 5g+15 equals 2g+27 . Use pencil and paper. Explain how you can check that the value you found for g is correct. If your check does not work, does that mean that your result is incorrect? Explain.
Answer:
its b
Step-by-step explanation:
what is 9/12 + 69??????????????????????
Answer:
69.75.
I'm just going to type filler text so Brainly accepts it.
Answer:
Step-by-step explanation:
Exact Form:
279/4
Decimal Form:
69.75
Mixed Number Form
69 3/4
2⋅(5^8/5^5)
its making me add extra words
Answer:
250
Step-by-step explanation:
1. Simplify the expression to 2 x 5^3.
2. Evaluate the power (125)
3. Solve 2 x 125
A nursery owner buys 7 panes of glass to fix some damage to his greenhouse. The 7 panes cost $17.15. Unfortunately,he breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of glass?
Answer:
$4.90
Step-by-step explanation:
17.15 / 7= 2.45
2.45*2=4.9
the cost of another two pains of glass is $4.90
What is the value of x?
Answer:
x=35
Step-by-step explanation:
What is the standard form of the equation of a line that passes through
(2,0) and (0,-5)?
The graph of a linear function is shown on the grid. What is the rate of change of y with respect to x for this function? Please hurry it’s urgent Thank you
Answer:
[tex] -0.2 [/tex]
Step-by-step explanation:
Given:
(-3, 3.6);
(5, 2)
Required:
Rate of change
SOLUTION:
Rate of change for the function is given as [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex].
Let,
[tex] (-3, 3.6) = (x_1, y_1) [/tex]
[tex] (5, 2) = (x_2, y_2) [/tex]
Rate of change = [tex] \frac{2 - 3.6}{5 - (-3)} [/tex]
[tex] = \frac{-1.6}{8} [/tex]
[tex] = -0.2 [/tex]
The rate of change of y with respect to x for this function is -0.2
Given :
The graph of a linear function is shown on the grid
To find the rate of change of y with respect to x , we need to pick two points from the graph
Two points are (-3,3.6) and (5,2)
Lets apply slope formula to find out rate of change
[tex]slope =\frac{y_2-y_1}{x_2-x_1}\\slope =\frac{2-3.6}{5+3} \\slope = -0.2[/tex]
The rate of change of y with respect to x for this function is -0.2
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Please helpppp need this done right nowwwe
Answer:
1. Given
2. Similar Lines(given in diagram)
3. Vertical Angles
4. SAS(or Side-Angle-Side)
Step-by-step explanation:
1 is given because that is whats given to you.
2 is Similar Lines because, on the diagram, when a line has a small dash on it and another line has the same dash, this means that they are similar.
3 is Vertical Angle because a vertical angle is an angle that is reflective of another angle and, according to the Vertical Angle Theory, all vertical angles are equal.
4 is SAS because you always go counterclockwise on the triangle when finding the congruent abbreviation and her you can see it is Side(LN=NW), Angle(LNS=WNK), Side(SN=NK).
Round 683,492 to the nearest hundred thousand.
Answer:
700,000
Step-by-step explanation:
you need to look at the ten thousands and look at the number if it is past 5 you round up.
Find X and Y in the figure
Answer:
x = 15
y = 19
Step-by-step explanation:
(5x-5) = (4x+10) reason[ being corresponding angle]
or, 5x-4x = 10+5
or, x = 15.
Similarly,
(5x-5)+(6y-4) = 180 reason[being supplementary angle]
putting the value of x in the equation, so
or, (5*15 -5)+(6y-4) = 180
or, 75-5+6y-4 = 180
or, 66+6y = 180
or, y = 30-11
or, y = 19.
pls help, will mark brainly
Answer:
Step-by-step explanation:
Another way to state it is to say that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. If you put the two shortest sides end to end, they have to be longer than the longest side to be able to angle up to form a triangle.
Answer:
3. 3, 5, 7
4. 1.1, 2.2, 3.2
5. 13, 5, 12
7. 5, 4, 3
8. 4, 4, 3
Step-by-step explanation:
In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
1. 19, 16, 3
16 + 3 = 19
No triangle
2. 1, 2, 3
1 + 2 = 3
No triangle.
3. 3, 5, 7
3 + 5 = 8 > 7
3 + 7 = 10 > 5
7 + 5 = 12 > 3
Triangle
4. 1.1, 2.2, 3.2
1.1 + 2.2 = 3.3 > 3.2
2.2 + 3.2 = 5.4 > 1.1
1.1 + 3.2 = 4.3 > 2.2
Triangle
5. 13, 5, 12
13 + 5 = 18 >12
5 + 12 = 17 > 13
13 + 12 = 25 > 5
Triangle
6. 1, 7, 8
1 + 7 = 8
No triangle.
7. 5, 4, 3
5 + 4 = 9 > 3
4 + 3 = 7 > 5
5 + 3 = 8 > 4
Triangle.
8. 4, 4, 3
4 + 4 = 8 > 3
4 + 3 = 7 > 4
Triangle.
which point is on her graph? A. (1, 10) B. (22, 3) C. (6, 34) D. (2, 20)
Answer:
There is no picture
Step-by-step explanation:
I wanted to help but i cant
Answer:Its D
Step-by-step explanation: (6, 34)
Solve for u.
8u+ 33 =-7(u-9)
Simplify your answer as much as possible.
u =
8
Х
?
Answer:
u=2
Step-by-step explanation:
8u+ 33 =-7(u-9)
Distribute
8u+ 33 =-7u+63
Add 7u to each side
8u+33+7u = -7u+63+7u
15u+33 = 63
Subtract 33 from each side
15u +33-33 = 63-33
15u = 30
Divide each side by 15
15u/15 = 30/15
u =2
Answer & Step-by-step explanation:
- 22 = -8u + 6(u-7)
-22 = -8u + 6u - 42
8u - 6u = 22 - 42
2u = -20
u = -20/2
u = -10
The ratio of boys to girls in a group is 5:1 if there are 60 more boys than girls work out how many people there are in total
Answer:
90.
Step-by-step explanation:
If the number of girls = x then the number of boys = x+60 and the total is 2x + 60.
As the ratio of boys to girls = 5:1, the fraction of boys = 5/6 and of girls is 1/6.
So x = 1/6(2x + 60)
x = 1/3x + 10
2/3 x = 10
x = 10*3/2 = 15.
So the total number of people = 2(15) + 60 = 90.