Answer:
25
Step-by-step explanation:
When we write expressions for the total cost of each field visit and set them equal, we find the solution to be the ratio of the difference in fixed cost to the difference in variable cost.
y = 75 +7x . . . . . cost for x students to visit the science center
y = 50 +8x . . . . cost for x students to visit the natural history museum
__
Subtracting the first equation from the second, we get ...
0 = -25 +x
25 = x . . . . . add 25; the number of students such that costs are equal
The cost will be the same either place for 25 students.
__
Additional comment
Here, the fixed cost difference is 75-50=25, and the variable cost difference is 8-7=1. The ratio of these costs is ...
$25/($1 /student) = 25 students.
This relationship only holds when the higher fixed cost is associated with the lower variable cost. Charges are such that one place caters to larger numbers of students (science center), and one prefers fewer students (natural history museum).
Can someone help me with this?
Find the product. Write your answer in factored form.
a manufacturer has determined that if his company sells x items per day then their profit is given by P=-x^2+ 700 x-10000 euros. . How many items must be sold each day in order to make a profit
Answer:
15
Step-by-step explanation:
To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula
[tex]x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}; x= \frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]
[tex]x= \frac{-700+\sqrt{700^{2}-4(a)(-10000) } }{2(1)}; x= \frac{-700-\sqrt{700^{2}-4(a)(-10000) } }{2(1)}[/tex]
[tex]x= \frac{-700+\sqrt{530000} }{2}; x= \frac{-700-\sqrt{530000} }{2}[/tex]
[tex]x=\frac{-700+100\sqrt{53} }{2}; x=\frac{-700-100\sqrt{53} }{2};[/tex]
[tex]x=-350 + 50\sqrt53 = 14.005; x = -350 - 50\sqrt53 = -714.005[/tex]
In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.
[tex](-714.005)^2+700(-714.005)-10000=-0.360[/tex]
Furthermore, we must round to the nearest whole number, as you cannot make part of an item.
Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:
[tex](14)^2+700(14)-10000=-4\\\\(15)^2+700(15)-10000=725[/tex]
Solve for x using cross multiplication.
2x+2/11 = x-4/6
x=
Please show your work for brainiest
Answer:
x=56/66
Step-by-step explanation:
Troy and Ronnie wrote down how much time they spent at play rehearsal each week for 6 weeks.
Troy spent 6, 4, 8, 5, 10, and 9 hours at play rehearsal.
Ronnie spent 4, 6, 3, 7, 7, and 3 hours at play rehearsal.
How does the range of hours Troy spent compare with the range of hours Ronnie spent at play rehearsal? Answer the questions to find out
Answer: Im trying to find out the same thing oh no!
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. What is the range of hours Troy spent at play rehearsal? Explain how to find the range of a data set. (3 points)
To find the range, subtract the smallest value from the largestvalue. For Troy’s time, the range = 10 - 4 = 6 hours.
2. What is the range of hours Ronnie spent at play rehearsal? (3 points)
Ronnie’s range = 7 - 3 = 4 hours
3. Who had a greater range of hours spent at rehearsal? (4 points)Troy had a bigger range.
I hope this helps :)
In one month 382 adults and 65 children stayed in a hotel. How many people stayed at the hotel altogether?
Answer:
447 people
Step-by-step explanation:
382 plus 65 is 447.
Please help! Parallel lines Pythagorean theorem
Answer:
m∠A = 150°
m∠B = 30°
m∠E = 110°
Step-by-step explanation:
Linear pair:
⇒ m∠A + 30° = 180°
⇒ m∠A = 150°
Alternate interior angles:
⇒ m∠B = 30°
Sum of interior angles of a triangle is 180°:
⇒ m∠C + 30° + 40° = 180°
⇒ m∠C = 110°
Linear pair:
⇒ m∠C + m∠D = 180°
⇒ 110° + m∠D = 180°
⇒ m∠D = 70°
Alternate interior angles:
⇒ m∠E = m∠C
⇒ m∠E = 110°
State if the two triangles are congruent. If they are, state how you know.
Why?
Because we have two right triangles with the same shared leg (the L of HL) and the hypotenuses are the same length (the H of HL). The tickmarks tell us those segments are the same.
HL only applies to right triangles because the hypotenuse is only found in right triangles. If we didn't have those 90 degree square markers, then this would be an SSA case, but that's not a valid congruence theorem.
What is the value of 8 in 0.058
PLEASE ANSWER AND SHOW WORK
1.5 kg of rice for $9
the unit rate:????
A town grows by 350 people over 7 years
unit rate:????
PLEASE HELP URGENTLY AND ANSWER
9514 1404 393
Answer:
$6/kg50 people/yearStep-by-step explanation:
A unit rate is a ratio. When dollars are involved, we usually want dollars in the numerator. When time is involved, we usually want time in the denominator.
__
rice: $9/(1.5 kg) = (9/1.5) $/kg = $6/kg
__
growth: (350 people)/(7 years) = (350/7) people/year = 50 people/year
can someone help me please and thank you :)
Answer:
the answer is 4328
Step-by-step explanation:
may God bless you and your family during spring break
What is the value of x in the triangle?
30°
х
8
60°
O A
4
OB. 873
O
OC. 8v3
OD. 6
Answer:
8v3
Step-by-step explanation:
phythagorean theorm
The measure of x from the triangle is x = 4
Define the Triangle.A planar figure or polygon having three sides and three angles is called a triangle.
The internal angles of a triangle, which has three vertices, add up to 180 degrees.
Assume the triangle is ABC, with A + B + C equaling 180 degrees.
Triangle area equals (1/2) × Length x Base.
About a right triangle
According to the Pythagoras Theorem, If a2 + b2 = c2, then the hypotenuse2 = base 2 + height 2, making it a right triangle.
If a2 + b2 c2, the triangle is an acute triangle.
If a2 + b2 > c2, the triangle is sharp.
Given the data,
Let's use ABC to depict the triangle.
Now, the triangle's sides are measured in units of AB and y.
x units = BC
Moreover, AC = 8 units.
The trigonometric relationships show that sin = opposite / hypotenuse.
Hence, the definition of sin 30° is x / 8
With simplification, we have (1/2) = x / 8
8 is multiplied twice, giving us x = 8/2 x = 4 units.
Hence , the sides of the triangle are solved
Click here to read more about triangles.
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What is 0.118 in expanded form
Answer:
zero and one-hundred eighteen-thousandths
if m<4=105 what is m<5
Answer:
105. Alternate Interior Angles are Congruent. <3
Step-by-step explanation:
Alternate Interior Angles are Congruent <3 .In geometric terms, two sides of a polygon that share an endpoint make up an angle.
What is meant by Interior angles?In geometric terms, two sides of a polygon that share an endpoint make up an angle. This angle is known as an internal angle for a simple polygon if a point within it is located inside the polygon, regardless of whether the polygon is convex or not. the inner of the two angles created where two polygonal sides meet, according to Wikipedia. any one of the four angles created when a third line cuts a pair of parallel lines.
inside angles The angles created within or inside of a shape are called interior angles. The interior angles in this case are ABC, BCA, and CAB.
Given ,
m<4=105
m<5=105
Therefore alternate interior angles is congruent to<3
To learn more about interior angle refer to:
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what’s -4-3+x-3x simplified?
-4 - 3 + x - 3x
-7 + x - 3x
-7 - 2x
advice: just combine like terms
Answer:
-7 -2x
Step-by-step explanation:
-4-3+x-3x
Combine like terms
-4-3 +x-3x
-7 -2x
What error did she make? She simplified the denominator incorrectly. The denominator simplifies to –7. She labeled the points incorrectly. The point (–7, 4) should be (x1, y1). She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula. The formula should be the sum of the x-values with respect to the sum of the y-values.
Answer:
The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Anya found the slope of the line that passes through the points (–7, 4) and (2, –3). Her work is shown below. Let (x2, y2) be (–7, 4) and (x1, y1) be (2, –3). m = = = The slope is . What error did she make? She simplified the denominator incorrectly. The denominator simplifies to –7. She labeled the points incorrectly. The point (–7, 4) should be (x1, y1). She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula. The formula should be the sum of the x-values with respect to the sum of the y-values.
Slope of a line is expressed according to the formula;
Slope m = Δy/Δx
Slope = y2-y1/x2-x1
Given the coordinates (–7, 4) and (2, –3), from the coordinates;
x1 = -7, y1 = 4, x2 = 3, y2 = -3
Substitute into the formula;
Slope = -3-4/3-(-7)
Slope = -7/3+7
Slope = -7/10
Based on Anya workings, it can be concluded that Anya used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values
By what the question asks, I assume that this refers to getting the slope in a linear equation.
The correct option is:
She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values.
A general linear equation is given by:
y = a*x + b
where a is the slope and b is the y-intercept.
We know that for a line that passes through points (x₁, y₁) and (x₂, y₂) then the slope can be computed as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Notice that the formula is the change in y-values with respect to the x-values,
So we can conclude that the correct option is:
"She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values."
If you want to learn more, you can read:
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Is this angle supplementary or congruent?
Answer:
Congruent
Step-by-step explanation:
An angle is congruent if its corresponding angle is the same degrees.
It is supplementary if there are two angles that add up to 180°.
EXPAND AND PLEASE EXPLAIN
FOR BRAINLIEST
(x-1)(x+1)
Answer:
x^2 -1
Step-by-step explanation:
-1×x + -1×1 + x×1 + x×x
= x^2 -x +x -1
= x^2 -1
[tex] {x}^{2} - 1[/tex]
This is question 4 of my first post can someone help me I’d really appreciate it
Answer:
wars the graph
Step-by-step explanation:
Using the slope equation m = y2−y1x2−x1 and given the points (0, 4) and (2, 1), find the slope.
Answer:
[tex] - \frac{3}{2} [/tex]
Step-by-step explanation:
[tex]\textcolor{steelblue}{\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }}[/tex]
where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate
Slope
[tex] = \frac{4 - 1}{0 - 2} [/tex]
[tex] = \frac{3}{ - 2} [/tex]
[tex] = \bf{- \frac{3}{2} }[/tex]
Maria works as a ride loader on "Space Mountain". She averages twenty passengers every twenty minutes. Sal also works as a ride loader on "Space Mountain" and averages twenty passengers every twenty-five minutes. If Maria and Sal work together, about how many minutes will it take to load twenty passengers?
Answer:
36 passengers
Step-by-step explanation:
Maria averages 20 passengers every 20 minutes, so she places 1 passenger per minute.
Sal averages 20 passengers every 25 minutes, so he places 0.8 passenger per minute.
If they work together, they can place (1 + 0.8) passengers = 1.8 passengers per minute.
In 20 minutes, they can load
1.8 passengers/minute * 20 minutes = 36 passengers
It took both Maria and Sal 11.1 minutes to load 20 passengers
The number of passenger Maria loads each minute = 20 passengers/20 minutes = 1 passenger per minute
The number of passenger Sal loads each minute = 20 passengers/25 minutes = 0.8 passenger per minute
Let t represent the total time taken to load the 20 passengers, hence:
(1 passenger per minute × t minutes) + (1 passenger per minute × t minutes) = 20 passengers
t + 0.8t = 20
1.8t = 20
t = 11.11 minutes
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An object moves in simple harmonic motion with period 7 minutes and amplitude 17cm . At time minutes, its displacement from rest is 0m , and initially it moves in a positive direction.
Give the equation modeling the displacement as a function of time .
Answer:
Midline will be at -13 which is your vertical shift(d)
Amplitude (a) -s 13 si will move up to 0, back to midline(-13), down to -26, and then back to midline to complete the cycle. This would conform to a sine graph
There is no phase shift
The period is 6 minutes so b= 2pi/6 or pi/3
Equation therefor is y= 13sin[(pi/3)x] -13
Hope it helps!!!Brainliest pls!!!7d+3/4=6 prove that d=3
7d+3/4(4)=6(4)
7d+3=24
7d=24-3
7d/7 =21/7
d=3
Part D You can solve the problem in part Cusing a different method. To set up this method, first find the total number of strands required to make a pair of pom-poms.
Answer:(Actual answer they provide) There are two pom-poms in a pair. The total number of strands required to make pom-poms is 80 x 2 = 160
Step-by-step explanation:
This clock shows the current time. Three hours ago, it was ___________. HURRY NOWW
A) 12:48
B) 11:48
C) 10:48
D) 9:48
Answer:
d
Step-by-step explanation:
Answer:
maybe a or b but to me it's a
Guys, I’m giving you at least 100 points for you to answer to my last 2 weeks of my Number Sense and Numeracy: The Order of The Operations word problem homework package So guys, please listen up and pay attention to me without ignoring my last 2 weeks of my Number Sense and Numeracy: The Order of The Operations word problem homework package for no reason! :D
The question #6 is by how much is the sum of –8 and 6 more than –4?
The question #7 is how much less is the sum of –8 and –4 than the product of 4 and –2?
The question #11 is by how much is (–3 + 5)^2 more than –(–3 + 5)^2?
Please answer to my math word problem questions as soon as possible with the best efforts and the best step-by-step explanations in order to get the Brainliest award of all the time! :D
Well anyways, guys, good luck on answering 3 math word problem questions of my last 2 weeks of my Number Sense and Numeracy: The Order of The Operations word problem homework package in order to get the best Brainliest award of all of the time, and I will check the answers to see if it’s appropriate for me. :)
Answer:
ok i am here to explain :)
Step-by-step explanation:
So, for #6, all we do is -8+6, since it said sum, so we add, and we get -2. this is 2 more than -4, and to check, all we would have to do is -4+2, which equals -2.
for #7, all we have to do is -8+(-6), since again it says sum so we add. the sum of these values are -14. for the second part, because it says "product" this means we multiply! and when we multiply -2 by 4, we get -8. this would lead us to believe that the sum is 4 less than. we can check it by subtracting positive 4 from the negative 8, or -8-4, which would give us -12.
for #11, all i really did was plug it into a calculator, and for the first one, i got 4, and for the second one i got -4. this would give us a difference of 8, and to check all we would have to do is add the 8 to the negative 4, or -4+8=4.
Hope this helps, please mark as brainlest.
Answer:
6: -2
7: 14
11: -4
Step-by-step explanation:
6:
-8 + 6 = -2
-2 is bigger than -4 because it is closer to 0. If it was regular numbers, like 2 and 4, 4 would be larger! :)
7:
-8 - 4 = -12
4 - 2 = 2
The correct answer is 14 because there are 14 numbers between 4 and -12 :)
11:
(–3 + 5)^2
2^2
4
–(–3 + 5)^2
-2^2
-4
The correct answer is 4 because it is a positive number and positive numbers are ALWAYS bigger than negative numbers :)
Have a great day!!
Please rate and mark brainliest!!
is 4,3,2,1 arithmetic or geometric
Answer:
Arithmetic
Step-by-step explanation:
A sequence is a set of numbers, called terms, arranged in some particular order. An arithmetic sequence is a sequence with the difference between two consecutive terms constant
what is 5+5
what is 6x5
Answer:
5+5 = 10
6x5=30
I hope it works for you
Answer:
10 , 30
Step-by-step explanation:
5 + 5 = 10
6 * 5 = 30
AC = BC, <ACB = 40°, <AMN = 25° <CPM = ?
Answer:
∠ CPM = 135°
Step-by-step explanation:
given AC = BC , then Δ ABC is isosceles with base angles congruent , then
∠ ABC = [tex]\frac{180-40}{2}[/tex] = [tex]\frac{140}{2}[/tex] = 70°
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, then
∠ AMN + ∠ BPM = ∠ ABC , that is
25° + ∠ BPM = 70° ( subtract 25° from both sides )
∠ BPM = 45°
∠ CPM and ∠ BPM are adjacent angles on a straight line and sum to 180°
∠ CPM + 45° = 180° ( subtract 45° from both sides )
∠ CPM = 135°
Find the length of the missing side. If necessary, round to the nearest tenth.
29
841
58
21.5
Answer:
above is the solution to the question
Line segments AB and CD are
congruent. Their coordinates
are A(-11, -3), B(-2,5), C(7, 1)
and D(x, 9). Find the value of x.
Answer:
x = 16 or -2
Step-by-step explanation:
If both lines are congruent, their magnitudes are equal.
To find the magnitude of a line, the equation to use is;
D = √(x2-x1)^2 + (y2-y1)^2
So for AB, we have
D = √(-2 + 11)^2 + (5 + 3)^2
D = √81 + 64 = √145
For the second line
The distance would be;
D = √x-7)^2 + (9-1)^2
D = √(x-7)^2 + 8^2
Equate both magnitude
√145 = √(x-7)^2 + 64)
Simply remove the square roots on both sides
145 = 64 + (x - 7)^2
145 -64 = (x -7)^2
81 = (x-7)^2
Thaw the square root of both sides
x - 7 = 9
or x -7 = -9
x = 9 + 7 or x = -9 + 7
x = 16 or -2