The weight of the twelve people on the elevator is 1,825 pounds.
And the weight of the thirteen person is given by the inequality:
x ≤ 175
How to find the total weight of the people in the elevator?
We have an elevator with 12 people in it, such that the weights of these 12 people are:
175, 140, 135, 155, 170, 190, 125, 160, 150, 150, 130, 145
To find the total weight we just need to add these numbers, we will get:
175 + 140 + 135 + 155 + 170 + 190 + 125 + 160 + 150 + 150 + 130 + 145 = 1,825
So the 12 people in the elevator have a total weight of 1,825 pounds.
Now, the weight limit is 2,000 pounds.
So if we define x as te weight of the 13 th person, we can write the inequality:
1,825 + x ≤ 2,000
x ≤ 2,000 - 1,825
x ≤ 175
So the person can weight at mos 175 pounds.
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r+ 5 < 1 OR r − 1 ≥ 1
Answer:
[tex]\boxed{\sf{r < -4\quad r\geq 2}}[/tex]
Step-by-step explanation:
Isolate the term of r.
1. r+5<1First, subtract by 5 from both sides.
r+5-5<1-5
Solve.
r<-4
2. r-1≥1Add by 1 from both sides.
r-1+1≥1+1
Solve.
Add the numbers from left to right.
r≥2
Therefore, the correct answer is r<-4 and r≥2.
I hope this helps, let me know if you have any questions.
y is inversely proportional to x².
When x = 2, y = 8.
Find y in terms of x.
Answer: y=32/x^2
Step-by-step explanation: Please mark brainilest. Since y and x^2 are inversely proportional, x^2(y)=k. K is some constant. Since they gave us an example of x and y, we can calculate k as 4*8=32. So our updated equation is y(x^2)=32. Dividing both sides by x^2 we get y=32/x^2, so we have y in terms of x
Answer:
y = 32x
Step-by-step explanation:
y = k/x^2
8 = k/2^2
8 = k/4
8×4 = 32
k = 32
y = 32x
Help me please with this math question
Answer:
40°
Step-by-step explanation:
By the exterior angle theorem, [tex]m\angle 1=100^{\circ}[/tex]. Applying the theorem again, we get [tex]m\angle 2=40^{\circ}[/tex]
If possible, use the Law of Detachment to make a conclusion. If not possible to make a conclusion, explain why.
If there is lighting, then it is not safe to be out in the open.
Marla sees lighting from the soccer field.
Using the Law of Detachment, the conclusion is that it is not safe to be out in the open, as the conclusion is true, since the conditional and the hypothesis are true.
What is the Law of Detachment?The Law of Detachment is a logic axiom which states that if a conditional and the hypothesis are true, then the conclusion is also true.
Supposing a conditional statement p -> q, we have that:
p is the hypothesis.q is the conclusion.For this problem, the sentence is:
"If there is lighting, then it is not safe to be out in the open."
Hence p and q are given as follows:
p: presence of lightning.q: it is not safe to be out in the open.Marla sees lighting from the soccer field, hence the statement p is correct, and we know that the conditional is true, hence the conclusion that it is not safe to be out in the open can be reached.
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Help with this equation asap
Answer:
x = -3
Step-by-step explanation:
6x + 4 = 4x - 2
-4x -4x
--------------------
2x + 4 = -2
-4 -4
--------------------
2x = -6
÷2 ÷2
-------------
x = -3
I hope this helps!
6x + 4 = 4x -2
2x = -6
x = -3
b) The nearest-known exoplanet from earth is 4.25 light-years away. About how many miles is this? Give your answer in standard form. Please Help
4.25 light years is 2.4984x10¹³ miles
What is light years?
A light-year, sometimes spelt light year, is a huge measure of length used in astronomy that is comparable to approximately 9.46 trillion kilometers (9.461012 kph) or 5.88 trillion miles (5.881012 mi). A light-year, as defined by the International Astronomical Union (IAU), is the distance that light travels in a vacuum in one Julian year (365.25 days). The phrase light-year is frequently misconstrued as a unit of time since it contains the time-measurement word "year." The light-year is most commonly used in non-specialist contexts and popular scientific publications to indicate distances to stars and other cosmic distances.
1 light years is = 5.8786x10¹² miles
4.25 light years = 5.8786x10¹²x4.25 = 2.4984x10¹³ miles
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a tumor is injected with 0.2 grams of iodine-125, which has a decay rate of 1.15% per day. write an exponential model representing the number of grams f of iodine-125 remaining in the tumor after t days.
If a tumor is injected with 0.2 grams of iodine-125, which has a decay rate of 1.15% per day. The exponential model representing the number of grams f of iodine-125 remaining in the tumor after t days is: m = m0e^kt.
Exponential modelFirst is to use this formula to find the t day
t = - ln (2) / k
Where,
k = decay rate = 1.15% or 0.0115
Let plug in the formula
t = - In (2) / - 0.0115
t = 60.27
t = 60 (Approximately)
Now let make use of the exponential model to find the gram
m = m0e^kt
where,
m0 =0.2 initial mass
t = 60 time in days
k = -1.15 / 100 = -0.0115 (continuous growth rate)
m0e^kt = 0.2×e^[-0.0115×60]
= 0.2×e^(-0.69)
= 0.100g
Therefore the exponential model is m = m0e^kt.
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The school that Pranav goes to is selling tickets to the annual talent show. On the first day of
ticket sales the school sold 10 senior citizen tickets and 3 student tickets for a total of $142. The
school took in $224 on the second day by selling 14 senior citizen tickets and 6 student tickets.
Find the price of a senior citizen ticket and the price of a student ticket.
By solving a system of equations, we conclude that the cost of a senior citizen ticket is $10, and the cost of a student ticket is $14.
How to find the price of each ticket?Let's define the variables:
x = price of a senior citizen ticket.
y = price of a student ticket.
With the given information we can write a system of equations:
10*x + 3*y = 142
14*x + 6*y = 224
To solve if we subtract twice the first equation from the second equation, we get:
(14*x + 6*y) - 2*(10*x + 3*y) = 224 - 2*142
14x + 6y - 20x - 6y = -60
-6x = -60
x = -60/-6 = 10
So each senior citizen ticket costs 10 dollars.
Now that we know the value of x, we can find the value of y:
10*x + 3*y = 142
10*10 + 3*y = 142
3*y = 142 - 100 = 42
y = 42/3 = 14
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What is the quotient of (−72) ÷ (−9) ÷ 2? 16 4 −4 −16
Hi
[tex]\star\sim\star\sim\star\sim\star\sim\star\sim[/tex]
Q-u-e-s-t-i-o-n:what is -72:(-9):2A-n-s-w-e-r:4
bc a negative over a negative gives us a positive , so -72:(-9) is the same as 72:9 which is 8. Then we divide that by 2 and arrive at 4
[tex]\star\sim\star\sim\star\sim\star\sim\star\sim[/tex]
2,3,1,4,0 solution i need this sequence please?
Answer:
01234
Step-by-step explanation:
Sequence is smallest to largest therefore the sequence is 01234
Answer:01234
Step-by-step explanation:
Hope this helps.
The mean of 10,31,36,36,38,42,47,48,49,52
Step-by-step explanation:
Mean means the average
So to find the average, add all the numbers then divide by how many numbers there are.
Total=389
Divide by 10 = 38.9
HELP PLEASE!!
Write the slope intercept form of the equation for each line
Answer:
y = -5/9x
Step-by-step explanation:
Two points on the line; (4,-2) & (-5,3)
Finding the slope (m):
m = (3-(-2))/(-5-4)
= 5/-9
= -5/9
y = -5/9x + c
Since it passes through the origin, c = 0.
Hence, y = -5/9x
Hope this helps and feel free to mark this as brainliest :)
A job pays an annual salary of $33,150, which includes
a holiday bonus of $750. If paychecks are issued twice a
month, what is the gross amount for each paycheck?
Mrs. Lahti bought a pair of shoes for $50.80 and used a coupon for 20% off. What was her discount?
In a case whereby Mrs. Lahti bought a pair of shoes for $50.80 and used a coupon for 20% off then her discount will be $12.7.
What is a discount?A discount can be described as as the decreases in price of a product which can be given to the consumer from the seller.
The given discount given in the question is 20%
Then the price she bought the pair of shoe is $50.80
then the market price will be 100/80 * 50.80 = $63.5
Then the discount she got is ( $63.5 - $50.80) = $12.7
Therefore, discount she got is $12.7
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Answer the question in the photo for a brainliest!
Answer:
image has six circles
∴ A complete circle has 360°
360/6= 60 degrees
Plsss mark as brainliest
Answer:
90 degrees.
Step-by-step explanation:
90 degrees because if you take a right angle and add 90 more then you have half a circle then add 90 2 more times then you have a full circle since this is a circle is like right angles if you add 90 it is the same.
NO NEED TO MARK BRAINLEIST IT IS UP TO YOU.
help needed will give 10 points
Answer:
Step-by-step explanation: 10rh squared
HELP!!!!! It's in the photo.
After estimation the area of the composite figure is equal to about 22 square units.
As given in the question,
For the given composite figure:
Let us estimate the area of 1 square = 1 square units
Total number of full squares = 12
Total number of more than half = 6
Consider area of more than half as 1 square units.
Total number of half squares = 8
Area of less than half is negligible.
Total estimated area of given composite figure
= 12 + 6 + [(1/2) ×8]
=12 + 6 +4
=22 square units
Therefore, after estimation the area of the composite figure is equal to about 22 square units.
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Angela’s bedroom has an area of (2x2-7x-15) square feet. The length of the room is (2x+3) feet. What is the width of her bedroom?
The width of her bedroom is x - 5
How to determine the widthIt is important to note that the formula for area of a rectangle is expressed as;
Area = lw
Where;
l is the length of the roomw is the width of the roomNow, let's substitute the values into the formula, we have;
2x²-7x-15 = (2x+3)w
Divide both sides by the coefficient of w
w = 2x²-7x-15/(2x+3)
Factorize the numerator
w = 2x²- 10x + 3x - 15/(2x+3)
Factor the common terms of the numerator
w = 2x(x - 10) + 3(x - 5)/(2x+3)
enclose the expressions
w = (2x + 3)(x-5)/(2x+3)
Divide the common terms
w = x - 5 feet
Hence, the value is x - 5
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Thomas wants to display leaf specimens for a science fair. thomas has 98 leaves, which is 3 fewer than the total needed. will the science display have a total of 111 leaves, 102 leaves, 101 leaves, or 95 leaves?
The total number of leaves that the science display have is 101 leaves.
As per the question, Thomas wants to display leaf specimens for a science fair. Thomas has 98 leaves.
Total number of leaves Thomas have = 98
Thomas has 98 leaves, which is 3 fewer than the total needed. To calculate the total number of leaves Thomas need in the science display , we need to add 3 leaves in the total number of leaves Thomas have. So, we can write this mathematically as,
Total number of leaves that the science display have = Total number of leaves Thomas have + 3
Total number of leaves that the science display have = 98 + 3 = 101
So, the science display have a total of 101 leaves.
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Can you check these for my please it would be much appreciated! And yes I will mark brainliest
ΔDEF ≅ Δ RPQ by ASA rule and line segment RF ≅ line segment HR.
In triangle DEF and triangle PQR,
We can see that:
DF = RQ = 5cm
0∠D = ∠Q = 60°
∠F = ∠R = 80°
So, we get that:
ΔDEF ≅ Δ RPQ ( ASA rule.)
Also, we are given that:
quadrilateral RAUF ≅ Quadrilateral HBQR
This means that:
line segment RF ≅ line segment HR.
Therefore we get that, ΔDEF ≅ Δ RPQ by ASA rule and line segment RF ≅ line segment HR.
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Car A—450 miles for 15 gallons
Car B—651 miles for 21 gallons
Car C—598 miles for 23 gallons
Which car has the best rate of miles per gallon?
Answer:
Car B
Step-by-step explanation:
Car A 450/15 = 30 gallons per mile
Car B 651/21 = 31 gallons per mile
Car C 598/23 = 26 gallons per mile
1/5 x 3/8 x (-5) "Write your answer in simplest form
Answer:
-3/8
Step-by-step explanation:
Multiply the expression(PEMDAS).
Answer: -3/8
Step-by-step explanation: First you do 1/5 times 3/8 which is 3/40 and then you do 3/40 times -5 which would be -3/8.
Hope this helped!!!!
Please answer it with WORKING
Answer:
5 bottles of hand sanitizer
2 thermometers
4 packets of masks
Step-by-step explanation:
We start by factoring each of the numbers to find the common factor which will give us the number of bags used to distribute.
1155 = 5 x 231
462 = 2 x 231
924 = 4 x 231
We see that 231 is the common factor for all 3 numbers. It is also the greatest common factor.
Therefore the greatest number of bags that can be packed = 231
Each bag will contain:
5 bottles of hand sanitizer
2 thermometers
4 packets of masks
9. (01.05 MC) The figure below shows the quotient of fraction 5 over 7 Division sign fraction 2 over 7 using a rectangle model. Rectangle divided into seven equal parts indicating five-sevenths and two-sevenths, where the first two parts are shaded dark, the next three parts are shaded light, and the last two parts are not shaded. What is the quotient? (5 points) Fraction 2 and 3 over 5 Fraction 2 and 1 over 2 Fraction 2 and 1 over 3 Fraction 2 and 1 over 7
The quotient is Fraction 2 and 1 over 2.
A quotient is the value obtained by dividing one particular quantity by another. We can find the quotient when we are solving a division problem by multiplying the first term with the reciprocal of the second term. Reciprocal is the exchange between the numerator value and the denominator value.
(5/7) / (2/7)= (5/7) x (7/2)
= 35/14
14 will go into 35 twice = 28
35-28= 7
27/14 = 2 and 1/2
Therefore, we conclude that the quotient of fraction 5 over 7 Division sign fraction 2 over 7 using a rectangle model is 2 and 1/2.
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Find a point-slope form for the line that satisfies the stated conditions
Slope 7, passing through (- 6,2)
The equation of the line in point-slope form is……
Answer:
y-2=7(x+6)
Step-by-step explanation:
point slope form
Answer:
me + you = forevea
Step-by-step explanation:
you and me make sum good chemistry too bad were talkin ab math
If the lengths of the sides of triangle abc are 4, 5, and 7 feet, what is the perimeter in feet of similar triangle def whose shortest side is 12 feet?
Given,
ΔABC and ΔDEF are similar triangles.
AB = 6 feet, BC = 4 feet, AC = 7 feet
Let the shortest side of ΔDEF be EF = 12 feet.
Let DE = x and DF = y
Since, ΔABC and ΔDEF are similar,
[tex]\frac{BC}{EF}[/tex] = [tex]\frac{AB}{DE} = \frac{AC}{DF}[/tex]
⇒ [tex]\frac{4}{12} = \frac{6}{x} =\frac{5}{y}[/tex]
On Solving,
x = 18 feet and y = 15 feet
We know,
Perimeter of a triangle = sum of all three sides
Hence, perimeter of ΔDEF = DE + EF + DF = 18 + 15 + 12 = 45 feet.
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( Please help )
Answer the question in photo.
Answer: 5/3
Step-by-step explanation:
The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.
We know that N'Q'=10 and NQ=6, so the scale factor is 10/6 = 5/3.
Her wages vary directly as the time she works. If her wages for 20 hours are $150, what are her wages for 38 hours
Answer:
285
Step-by-step explanation:
Tim buys a new computer for $1200. After four years, he sells the computer to a friend for $450.
Let y represent the current value of the computer, and x represent the number of years. Write a
linear equation in slope-intercept form to model the value of the computer over time. Find the value
of the computer after 6 years.
A linear equation in slope-intercept form for computer; y = -187.5(x) + 1200.
The value of the computer after 6 years will be $75.
What is defined as the slope-intercept form?An intercept is a y-axis point whereby the slope of a line passes. It is the y-coordinate of a point on the y-axis at which a straight line or a curve intersects. This is represented by the equation for a straight line, y = mx+c, where m is the slope and c is really the y-intercept.Tim spends $1200 on a new computer.
He sells this same computer to that of a friend for $450 after four years.
Let y represent the computer's current value and x depict the number of years.
Create a linear equation in slope-intercept pattern to model the computer's value over time.
y = mx + b
y = 1200,
when x (time) is 0, thus b = 1200
when x = 4, y = 450,
Calculate the slope m.
4m + 1200 = 450
4m = 450 - 1200
m = -750/4
m = -187.5
Put the value of m in linear equation;
y = -187.5x + 1200
Noe, the value of computer after 6 years, put x = 6.
y = -187.5(6) + 1200
y = 75
Thus, the value of the computer after 6 years will be $75.
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9x^2-(x^2-4)^2
4+3x-x^2
Multiplying the expression 9x² - (x² - 4)² . 4 + 3x - x² will give -4x⁴ + 40x² + 3x - 64
How to illustrate the information?From the information given, we want to multiply the expression 9x² - (x² - 4)² . 4 + 3x - x². This will be illustrated thus:
Distribute
9x² - (x² - 4)² . 4 + 3x - x².
9x² - (x² - 4)(x² - 4) . 4 + 3x - x².
Now we can open the parentheses. This will be illustrated as:
9x² - 2(x⁴ - 4x² - 4(x² - 4) . 4 + 3x - x³
= -4x⁴ + 40x² + 3x - 64
The value of the expression is -4x⁴ + 40x² + 3x - 64.
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Multiply the expression 9x² - (x² - 4)² . 4 + 3x - x²