Elevators have safety limits for how much weight they can lift. The elevator at the Terrace Hotel can hold up to 2,100 pounds. write an equation or inequality that represents the allowable weight on the elevator at the Terrace Hotel. Graph the solution to the equation or inequality you wrote on the number line. Explain your answer.
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[tex]m \leq 2100 pounds[/tex]
The graph is given on the picture. The blue line marks maximum allowed mass, the red line marks actual mass. Grey part contains all allowed values of a mass.
Related Questions
Amir is operating a machine that adds sand to a concrete mixture. The machine adds 1/10 ton of sand to the mixture in 4/5 minute. Enter a number in each box to complete the statements. Write the ratio that compares 1/10 ton of sand to 4/5 minute. The ratio in ton(s) per minute(s) is $$ . Simplify the ratio to find the amount of sand added in one minute. ton(s) per minute
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[tex] \frac{tonofsand}{minutes} = \frac{ \frac{1}{10} }{ \frac{4}{5} } [/tex]
Now, lets simplify our ratio. Notice that our ratio is a division of tow fractions, and remember that to dive fractions we just flip the second fraction and multiply:
[tex] \frac{ \frac{1}{10} }{ \frac{4}{5} } = \frac{1}{10} . \frac{5}{4} = \frac{5}{40} = \frac{1}{8} [/tex]
We can conclude that the ratio in ton(s) per minute(s) is [tex] \frac{1}{8} [/tex], which means [tex] \frac{1}{8} [/tex] ton of sand added in one minute ([tex] \frac{1}{8} ton/minute[/tex])
Victor and his three friends (4 people all together) are planning to split a pizza. They want to spend at most $5 per person. Find the maximum (at most) cost of the pizza they can order.
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The ratio of girls to boys who participated in the geography bee was 5:4 there were 36 total students how many were boys
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Answer:
There are 16 boys and 20 girls
Help me please I want to know the answer
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.. add b
.. divide by d
To solve for c, you undo these in reverse order.
.. undo "divide by d" by multiplying by d
.. .. ad = b +c
.. undo "add b" by adding the opposite of b
.. .. ad -b = c
The 1st selection is appropriate.
Jackets R us is having a 35% off sale at its outlet store this month.todd is figuring the sale price of a winter jacket normally priced at $89.99.
a. Estimate the sale price. Describe how you found your estimate.
b. calculate the amount that todd will pay for the jacket.
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greatest common factor of 3 in 10
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Hope this helped.
The greatest common factor of 3 and 10 is 1.
Greatest common factorThe greatest common factor (GCF) of two or more numbers is the largest number that is a factor of all the numbers.
The greatest common factor (GCF) of 3 and 10 is 1. There are no common factors other than 1 that evenly divide both 3 and 10.
Because 3 and 10 do not have any common prime factors, The greatest common factor of 3 and 10 is 1.
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Mark raises guppies in an aquarium. He finds out that guppies reproduce very rapidly, and the number quadruples every month. He starts out with only 2 guppies, and the function y equals 2 times 4 to the x models the number of guppies he will have after x months. Which graph represents this function?
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The domain of this function is the set of all real numbers and the range are all positive reals.
The function is close to zero for negative values of X, but for positive values it grows rapidly.
Below is a graph of the aforementioned function:
y = 2 * (4 ^ x)
For x between -1.5 and 0.5 and for x between -6.5 and 5.5
In this exercise we have to recognize the graphics given in the images and in this way identify which functions are being represented, in this way we have to:
[tex]y = 2 * (4 ^ x)[/tex]
What is the exponential function?The exponential function represents a dependency relationship. In this type of mathematical operation there is a variable (unknown) in the exponent and the real number (greater than zero and different than one) in the base.
So we know that the graphs are of exponential functions and their form is given by:
[tex]y=a^x[/tex]
With this form we have that the function of the graph is:
[tex]y = 2 * (4 ^ x)[/tex]
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Angelo rode his bike around a bike trail that was 1/4 of a mile long. He rode his bike around the trail 8 times. Angelo said he rode his bike a total of 8/4 Miles. Teresa said he was wrong and that he actually rode 2 miles. Who is correct?
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8/4 = 2
calculate the interquartile range of the following data set: 36, 54, 49, 39, 41, 48, 50
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Answer:
14
Step-by-step explanation:
whats the answer ?????
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The gloves will cost Bob $29.38.
The sketch shows two parallel lines cut by a transversal. Which pair of angles are alternate interior angles?
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Alternate Interior Angles: Angles that are in the interior of the parallel lines, and are diagonal in the transversal.
So, angles <3 and <6 are alternate interior. <4 and <5 are alternate interior.
I hope this helps!
~kaikers
Answer:
angle 5 and angle 4
Step-by-step explanation:
y 2 + 5y Choose the constant term that completes the perfect square trinomial.
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The constant term that completes the perfect square trinomial is 6.25.
Explanation:To complete the square for the given expression y² + 5y, we take half of the coefficient of the linear term (5/2) and square it to find the value to be added. Half of 5/2 is 5/4, and squaring it gives 25/16. Adding 25/16 to the expression yields a perfect square trinomial: y² + 5y + 25/16 = (y + 5/4)².
To write it in standard form, we convert 25/16 to 1.5625. Therefore, the constant term that completes the perfect square trinomial is 1.5625, or 6.25 when expressed as a decimal.
Tubas, trombones and French horns are bass instruments. Fully stretched out, the length of a tuba is 18 feet. The length of a trombone is 8 13/14, and the length of a French horn is 17 3/14. The tuba is how much longer than the French horn? And the French horn is how much longer than the trombone?
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The length of the Tuba is 11/14 feet longer than the length of the French horn.
The length of the French is 8 ²/₇ feet longer than the length of a Trombone horn.
What is subtraction?It absolutely indicates subtracting something from a commodity, group, location, etc. Subtracting from an assemblage or a list of ways is known as subtraction.
Tubas, trombones, and French horns are bass devices. Fully pulled out, the measurement of a Tuba is 18 feet. The measurement of a trombone is 8¹³/₁₄ feet, and the measurement of a French horn is 17³/₁₄ feet.
The difference between the length of the Tuba and the French horn is given as,
⇒ 18 - 17 ³/₁₄
⇒ 18 - 241/14
⇒ (252 - 241) / 14
⇒ 11/14 feet
The difference between the length of the French and the Trombone horn is given as,
⇒ 17 ³/₁₄ - 8 ¹³/₁₄
⇒ 241/14 - 125/14
⇒ 116 / 14
⇒ 8 ²/₇ feet
The length of the Tuba is 11/14 feet longer than the length of the French horn.
The length of the French is 8 ²/₇ feet longer than the length of a Trombone horn.
More about the subtraction link is given below.
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In physics the mass energy equivalence is that the mass of a body is measured by its energy content. This may be written algebraically as E=mc2, where E is energy, m is mass, and c is the speed of light in a vacuum. Transform the equation so that it will be read as a solution for mass, m. Write your answer in a sentence with all the correct labels from above!
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what rational number between 9.5 and 9.7
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Your answer is the number 9.6.
9.5 < 9.6
9.7 > 9.6
This is rational because it can be expressed entirely.
Hope this helps you.
Have a great day!
Dora is purchasing a $162,000 home with a 30-year mortgage at 5.15%. What is her monthly principal and interest payment?
A. $829.23
B. $884.56
C. $807.81
D. $876.09
Answers
Answer:
Option B is the answer.
Step-by-step explanation:
The formula for EMI is :
[tex]\frac{p\times r\times (1+r)^{n} }{(1+r)^{n} -1}[/tex]
Here p = 162000
r =[tex]5.15/12/100=0.004292[/tex]
n = [tex]30\times12=360[/tex]
Now putting the values in the formula we get,
[tex]\frac{162000\times 0.004292\times (1+0.004292)^{360} }{(1+0.004292)^{360} -1}[/tex]
[tex]\frac{162000\times 0.004292\times (1.004292)^{360} }{(1.004292)^{360} -1}[/tex]
= $884.60 close to option B.
So, option B is the answer.
[tex] - 30 = 2(x - 97)[/tex]
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In order to find out the answer to this question, we can distribute
[tex]-30 = 2(x - 97) \\ \\ \\ 2(x) = 2x \\ \\ 2(97) = 197 [/tex]
Flip your problem around!
[tex]2x - 194 = -30 [/tex]
Add by [tex]194 [/tex] on each of your sides
Like: [tex]2x - 194 + 194 \\ \\ \\ -30 + 194 [/tex]
Cancel out: [tex]-194 + 194 [/tex] because they would give you the outcome of [tex]0[/tex]
Keep: [tex]-30 + 194 [/tex] because that'll give you: [tex]164 [/tex]
Your problem becomes: [tex]2x = 164 [/tex]
Now, we have to divide by [tex]2[/tex] on each of the sides
Like: [tex] \frac{2x}{2} = \frac{164}{2} [/tex]
Cancel: [tex] \frac{2x}{2} [/tex] because it will give you a outcome of [tex]1[/tex]
Keep: [tex] \frac{164}{2} [/tex] because this will give you your answer
[tex]Answer: x = 82 [/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
Blake made and 87 on the first semester of algebra 1 . What score can he make on the second semester if he wants his average to be more than a 90 for both semesters? Answer using complete sentences
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In Mathematics, to find the average score which is more than 90 over two semesters when the first semester's score is 87, Blake needs to score more than 93 on his second semester.
Explanation:In Mathematics, specifically algebra, finding an average involves adding up all the values and then dividing by the total number of values. In this case, we're trying to find out the minimum possible score Blake needs in the second semester in order for his total average to be over 90.
Let's denote the score in the second semester as 'x'. Since the average is calculated by (first semester score + second semester score)/2, and since Blake wants his average to be more than 90, we express this as:(87+x)/2 > 90.
We now solve for x: Multiply both sides by 2 to get; 87 + x > 180. Then subtract 87 from both sides to solve for x, which yields; x > 93.
Therefore, Blake needs to score more than 93 in his second semester to have an overall average greater than 90 for both semesters.
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If c(x) = 2x^2 - 4x + 3
17. c(3a)
18. c(b^2)
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17. c(3a) = 2(3a)^2 -4(3a) +3
.. = 18a^2 -12a +3
18. c(b^2) = 2b^4 -4b^2 +3
Help me out, my guy!
Which statement describes the solar feature shooting off into space labeled C?
A. An envelope of plasma surrounding the sun
B. A stream of glowing gas that shoots out from the sun in an arch
C. A brief eruption of intense high-energy radiation from the sun's surface
D. A dark spot appearing from time to time on the sun's surface
(There is no subject option for science so I had to use Math sorry.)
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Explanation:
Occasionaly gas is shot from the surface of Sun. The reason for this is gravity-pressure instability. Most of this gas returns to the surface. Reason for this return are both magnetic field lines and gravitational pulling.
Answer A is description of a corona. It extends milions of kilometers in space and it can be seen only during solar eclipses. This is sort of Sun's atmosphere.
Answer C is description of a solar flare. It is huge explosion on the surface that sends out various types of radiation including visible light. This is similar to nuclear explosion on the Earth. On the picture this is marked with letter B.
Answer D is description of a sunspot. It occasionaly appears on the surface. The appearance follows 11 year min-max rule. It darker because it has lower temperature than the rest of surface, about 2000 degrees lower.
Simplify 8 over -3 divided by -4 over 9
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8/-3 * 9/-4
72/12 = 6
Answer:
2/3
Step-by-step explanation:
you take the problem and write it down then flip the last fraction and multiply them together.
Which of the numbers 4, 5, or 6 is a solution of x+7>12
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A rectangle is 3 times as long as it is wide. The perimeter is 40 feet. Find the dimensions.
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3 + 3 + 1 + 1 = 8.
So 40 divided by 8 = 5. So
the width is 5, and the length is 15. Hope it helps! :) If you could vote my answer as the brainliest, that would be awesome! :)
From my understanding, the width would be five and the length fifteen.
Happy to help!
~Brooke❤️
English is spoken as the first or primary language in 78 countries than Farsi is spoken as the first language. Together English and Farsi are spoke as a first language in 130 countries. In how many countries is English spoken as the first language? In how many countries is Farsi spoken as the first language.
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Answer:
52
Step-by-step explanation:
130 (total)-78=52
what is the slope of a line that is perpendicular to the line that passes through (1,0) and is parallel to y=3x+5
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We need to first find the slope. Since we're already given an equation, we can simply find it within there :)
We're given an equation in slope intercept form (y = mx + b) so we can simply look in the "m" spot. Therefore, we know that the slope is 3.
Since our slope is perpendicular to the given line, we must find the negative reciprocal of the slope.
A negative reciprocal is simply a number flipped over and then given a negative (or a negative is removed).
An example is here : slope = 8 → negative reciprocal of slope = -1/8
So, our negative reciprocal of "3" is -1/3.
Therefore, our new slope is -1/3.
Now, since it passes through (1, 0) then this is how we are going to find out y-intercept to input it into our new equation.
y = mx + b
Simply plug in everything (including slope and y)
0 = (-1/3)(1) + b
Simplify.
0 = -1/3 + b
Add 1/3 to both sides.
1/3 = b
Therefore, our y-intercept is b.
Now that we have all of the needed variables for our new equation, simply plug everything into an all new equation :)
y = mx + b
y = -1/3x + 1/3
~Hope I helped!~
A Ferris wheel has a circumference of 440 feet. What is the approximate diameter of the Ferris wheel? Use 3.14 for pi
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440 / 3.14 = d
140 1/7 = d
The graph shows Susan’s distance from her office, in yards, as she runs errands, over time, in minutes.
For which values of t (time) is Susan’s distance from her office decreasing from 70 yd to 0 yd?
A.
from t = 0 to t = 6
B.
from t = 10 to t = 12
C.
from t = 16 to t = 22
D.
from t = 22 to t = 26
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Bill had a salary of $48,000 last year. This year his salary is $49,920. What is the percent increase of Bill's salary?
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Chris visited the local Pizza Shack to purchase one pizza for each member of his Scout Troop. On arrival, he realised that he had mislaid the list he had made of the pizzas that had been requested. He knew that there were 32 people altogether and that all 3 vegetarians in the Troop wanted mushrooms only. He also remembered that the same number of people wanted just the chicken topping as wanted a plain pizza. Alex, a Young Leader, was able to help by recalling that: 12 people requested toppings that included chicken, 10 requested toppings that included pepperoni, 9 requested toppings that included mushroom, 1 person wanted all 3 toppings, 2 wanted chicken and pepperoni only, 2 wanted peperoni and mushroom only. What was the final order that Chris placed at Pizza Shack?
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32 people altogether
1 requested all three toppings
3 vegetarians got mushroom only
9 requested toppings with mushrooms included
12 requested toppings with chicken included
10 requested toppings that included pepperoni
2 wanted chicken and pepperoni only
2 wanted mushroom and pepperoni
x amount of people wanted chicken only
x amount of plain pizzas
all this information is depicted in the diagram attached
the amount of pepperoni only = 10 - 1 - 2 - 2
= 5
the amount of mushroom only (y)
the number of pizza with both chicken and mushroom (z)
y = 9 - 1 - 2 -z
= 6-z
amount of chicken toppings only
x = 12 - 2 - 1 - z
= 9-z
total number of pizzas
32 = 1 + 2 + 2 + 5 + y + x + z +x
= 10 + y + 2x +z
substiuting y = 6 - z
32 = 10 + 6 - z + 2x + z
32= 16 + 2x
2x = 16
x = 8
then x = 9-z
8 = 9-z
z = 1
and y = 6 - z
y = 5
therefore the final answer was supposed to be
8 plain pizzas
8 chicken only
5 pepperoni only
5 mushrooms only
1 all toppings
2 chicken and pepperoni
2 mushroom and pepperoni
1 chicken and mushroom
Hello,
Please, see the attached files.
Thanks.
BIG Nicks Moving Company unloaded 72% of the 300 boxes they delivered in 30 minutes. How many boxes did they unload each minute?
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72% of 300 is 216. Knowing that it took 30 minutes to unload 216, we can now divide 216 by 30 to find how many boxes were, on average, delivered each minute! This gets us an answer of 7.2 boxes per minute, hope I helped!
300 × 72 ÷ 100 = 216 (downloaded boxes)
300:100=X:72
X=216
216÷ 30 minuti= 7,2 downloaded box in 1 minute