An elevator has a weight limit of 2000 pounds. The weights in pounds of twelve people on the elevator are shown below. 175, 140, 135, 155, 170, 190, 125, 160, 150, 150, 130, 145 a. Find the total weight of the twelve people on the elevator. b. A thirteenth person wants to get on the elevator. Write and solve an inequality that represents the weight w that person can be without exceeding the elevator’s weight limit.

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

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

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.

Answer:

[tex]\boxed{\sf{r < -4\quad r\geq 2}}[/tex]

Step-by-step explanation:

Isolate the term of r.

First, subtract by 5 from both sides.

r+5-5<1-5

Solve.

r<-4

Add 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.

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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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!!!!

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.

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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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

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]

Answer:

285

Step-by-step explanation:

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

The width of her bedroom is x - 5

It is important to note that the formula for area of a rectangle is expressed as;

Area = lw

Where;

Now, 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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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.

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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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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Answer:

Step-by-step explanation: 10rh squared

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

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.

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:

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:

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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Multiplying the expression 9x² - (x² - 4)² . 4 + 3x - x² will give -4x⁴ + 40x² + 3x - 64

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

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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Hi

[tex]\star\sim\star\sim\star\sim\star\sim\star\sim[/tex]

      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]

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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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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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.

First 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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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 :)

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

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.

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:

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.

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.

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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