Jimmy saw a tent which was $15 more than twice the cost of an air mattress. The total of both was $210. What was the cost of the tent and the air mattress?

Answer:

Step-by-step explanation:

C

The theorem that applies is Similar SAS.

The correct option is C.

Those triangles look the same but are different in size.

And in similar triangles,

the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.

Given information:

SM = 27, angle SMA = 31 degrees, MA = 15, DL = 9, LE = 5 and Angle DLE = 31 degrees.

From the given information, we know that angle SMA is congruent to angle DLE because they both have a measure of 31 degrees. However, we do not have any information about the other angles in the two triangles.

To check if the corresponding sides are proportional, we can compare the ratios of the corresponding side lengths:

SM/ DL = 27/9 = 3

MA/LE = 15/5 = 3

Since the ratio of SM to DL is equal to the ratio of MA to LE, we know that the corresponding sides are proportional.

Therefore, we can use the Similarity-SAS (Side-Angle-Side) postulate to conclude that the triangles are similar. The postulate states that if two pairs of corresponding sides are proportional and the included angles are congruent, then the triangles are similar.

The answer is (C) Similar - SAS.

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Answer:

on coordinate plane,. an absolute value graph has a vertex at (0, -4)

the 3rd option

The graph that represents the function f(x) = |x| - 4 is (c) an absolute value graph has a vertex at (0, -4).

An absolute function is represented as:

\(f(x) = a| x- h| +k\)

Where the vertex is:

\(Vertex = (h,k)\)

The function is given as:

\(f(x) = |x|-4\)

Rewrite the above function as:

\(f(x) = |x + 0|-4\)

Compare \(f(x) = |x + 0|-4\) and \(f(x) = a| x- h| +k\), we have:

\((h,k) = (0,-4)\)

Hence, the graph of \(f(x) = |x|-4\) has a vertex of (0,-4)

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1.62 is the volume (in cm3) of 2 troy ounces of pure gold .

What is full answer for density?

We determine the volume, V, corresponding to the given amount of gold. We do this by dividing the given mass, m, by the density, d, such that

               V = m/d

  m = 31.03 g

   d = 19.3 g/ml

We proceed with the solution

  V = m/d

     = 31.03/19.3

      ≈ 1.62 ml

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Amare's repair costs $782 and jasiah's repair costs $770..

let's start with amare's coupons. he uses the $80 off coupon first, so the initial cost of the repair is reduced by $80 to $1000 - $80 = $920. then he uses the 15% off coupon, which reduces the remaining balance by 15%. the amount he saves is:

$920 x 0.15 = $138

so the total cost of the repair for amare is:

$920 - $138 = $782

now let's move on to jasiah's coupons. he uses the 15% off coupon first, so the initial cost of the repair is reduced by 15%. the amount he saves is:

$1000 x 0.15 = $150

the remaining balance is:

$1000 - $150 = $850

now jasiah uses the $80 off coupon on the remaining balance of $850, which reduces the cost by $80 to:

$850 - $80 = $770

so the total cost of the repair for jasiah is:

$770

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Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.

Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.

Let the mass of the spaceship be m and the exhaust speed of the engine be v.

Using the formula for the thrust of a rocket,

T = (mv)e

After substituting the given values into the formula for thrust, we get:

T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N

Therefore, the acceleration produced by the engine, a is given by the formula below:

F = ma

Therefore,

a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²

The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,

x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s

Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

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The number of men living in the village is 260.

A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:

                                           \(ax + by = c\)

Given:

Total inhabitants in the village: 817

Number of children: 241

There are 56 more women than men in the village

Total adults = Total inhabitants - Number of children

Total adults = 817 - 241

Total adults = 576

Let number of men in the village be 'x' and number of women in the village be 'y',

∴ y=x+56 (given) ..................(1)

Also, x+y=576 .................(2)

From equation (1) and (2),

x + (x + 56) = 576

2x + 56 = 576

2x = 576 - 56

2x = 520

x = 520 / 2

x = 260

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Answer:

200.000 because it's lower than 250

Step-by-step explanation:

pls give brainly

Answer:

226.67 is the answer

Answer:

O 2

Step-by-step explanation:

The minimum value of the parabola for the equation y = x² + x - 11/2 is equal to -23/4.

Parabola equation is equal to,

y = x² + x - 11/2

Vertex of the parabola is equal to,

By using the formula for the x-coordinate of the vertex,

x = -b/2a

where a is the coefficient of the x² term,

And b is the coefficient of the x term.

Here,

a = 1 and b = 1

Vertex of the parabola is equal to,

x

= -1/(2×1)

= -1/2

This implies,

The corresponding y-coordinate of the vertex,

Substitute this value of x into the equation for y we have,

y = (-1/2)² + (-1/2) - 11/2

⇒ y = 1/4 - 1/2 - 11/2

⇒ y =( 1 -2 -22 ) /4

⇒ y = -23/4

Therefore, the minimum value of the parabola y = x^2 + x - 11/2 is -23/4 and it occurs when x = -1/2.

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Answer:

a+b+c+d+e+f = 360º

Step-by-step explanation:

Each side of the outer triangle

is a straight line segment which is 180º

Since there are three sides

180 * 3 = 540º

therefor a+b+c+d+e+f + inside triangle = 540

The angles of the inside triangle total 180º

a+b+c+d+e+f = 540 - 180

a+b+c+d+e+f = 360º

Answer:

y=-0.6 X-8

Step-by-step explanation:

6x+10y=  -80

Subtract the positive 6x from both sides of the equation

This will make your equation look like 10y=  -80-6x

(If it helps you can rewrite the equation so it looks like 10y=  -6x  -80)

Divide both sides of the equation by 10. This will isolate your Y axis

Now your equation will look like y= (-6x  -80) / 10

I got y=  -0.6x -8

I hope this helps and it is correct :)

The relationship between the ratios of sin x° and cos yº is that they are reciprocals. The correct answer is option c. The ratios of sin x° and cos yº are reciprocals of each other.

In trigonometry, sin x° represents the ratio of the length of the side opposite the angle x° to the length of the hypotenuse in a right triangle. Similarly, cos yº represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Since the hypotenuse is the same in both cases, the ratios sin x° and cos yº are related as reciprocals. This means that if sin x° is equal to 12/13, then cos yº will be equal to 13/12. The reciprocals of the ratios have an inverse relationship, where the numerator of one ratio becomes the denominator of the other and vice versa.

It's important to note that the signs of the ratios can vary depending on the quadrant in which the angles x° and yº are located. However, the reciprocal relationship remains the same regardless of the signs.

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If the fraction of times an event happened in the past is used as the basis for assigning a probability to the event, this is Empirical probability.

If the events are mutually exclusive, special additional rules can be applied. -Additional general rules can be used if the events are not mutually exclusive. Events A and B must be mutually exclusive.

If the occurrence of one event is not completely affected by the occurrence of another event, such an event is probabilistically called an independent event, and the event affected by another event is a dependent event. Is called dependent events.

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answer

divide the number of computers produced by poland by the total world production and multiply by 100:

15.887 million : 117 million

= 0.1356

0.1356 x 100

= 13.6%

poland contributed approximately 13.6% of the world's total production of computers in 2006

Answer:

Step-by-step explanation:

Answer:

11259.5

Step-by-step explanation:

25×386+3219÷2

Multiply 25 and 386 to get 9650.

9650+3219/2

Convert 9650 to fraction 19300/2.

19300/2+3219/2

Since 19300/2 and 3219/2 have the same denominator, add them by adding their numerators.

19300+3219/2

Add 19300 and 3219 to get 22519.

22519/2

Divide 22519 by 2 to get 11259.5.

11259.5

Answer:

-3

Step-by-step explanation:

6x + 5 = 0 - there are no solutions...

Answer:

Step-by-step explanation:

-1/3

Answer:

burgr

Step-by-step explanation:

burger buns

Echo123 don't delete this

The graph that correctly models Miguel's travel time and distance is the one that increases, is constant, increases rapidly, increases, and then is constant.

The graph that correctly models Miguel's travel time and distance is the one where the graph increases, is constant, increases rapidly, increases, and then is constant.

This graph represents Miguel's travel sequence accurately.

At the beginning, the graph increases as Miguel rides his skateboard to reach the bus stop.

Once he arrives at the bus stop, there is a period of waiting, where the distance remains constant since he is not moving.

When the bus arrives, Miguel boards the bus, and the graph increases rapidly as the bus covers a significant distance in a short period.

This portion of the graph reflects the bus ride to the mall.

Upon reaching the mall, Miguel gets off the bus, and the graph remains constant as he walks across the parking lot to the closest entrance.

The distance covered during this walk remains the same, resulting in a flat line on the graph.

Therefore, the graph that accurately represents Miguel's travel time and distance is the one that increases, is constant, increases rapidly, increases, and then is constant.

It aligns with the different modes of transportation he uses and the corresponding distances covered during his journey.

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The future value of an annuity is  $351,135. The correct option is B.

To calculate the future value of an annuity, we can use the formula:

FV = Pmt x [(1 + r)^n - 1] / r

where:

Pmt is the amount of the periodic payment

r is the interest rate per period

n is the number of periods

In this case, Pedro is investing $17,000 at the beginning of each year for 11 years, so:

Pmt = 17,000

n = 11

The interest rate is given as 12 percent, but we need to convert it to a periodic interest rate. Since Pedro is making annual payments, the periodic interest rate is also annual. So:

r = 12% per year

Now we can calculate the future value using Appendix C to find the FV factor for 12% and 11 periods:

FV factor = 3.784

FV = 17,000 x [(1 + 0.12)^11 - 1] / 0.12

FV = 17,000 x 3.784

FV = $64,328

So the future value of Pedro's investments is $64,328.

However, this is only the future value of his first investment of $17,000. To find the total future value of all his investments, we need to add up the future value of each individual investment. We can use the formula we just calculated to find the future value of each investment, and then add them up:

Total FV = $17,000 x 3.784 + $17,000 x 3.784^2 + ... + $17,000 x 3.784^11

Using a financial calculator or spreadsheet software, we can calculate this sum to be approximately $351,135.

Therefore, the answer is B. $351,135.

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Answer:

The right answer is 15t times 2.

The garden club earns 15 dollars per hour

t is the hours

A generous donor doubles their earnings

Double means times 2

Step-by-step explanation:

Solution

- The function given is:

- Rolle's theorem states that:

"if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b), then f′(x) = 0 for some x with a ≤ x ≤ b."

- The Rolle's theorem formula is:

- The interval given to us is [0, 1], this implies that:

- We can confirm that:

- Thus, since the values of f(a) and f(b) are not equal, no value of c would satisfy the Rolle's theorem

hope it helped

3(y-1)=2x+2

3(y-1)/3=2x+2/3

y-1=2x/3+2/3

y=2x/3+2/3+1

y=2x/3+5/3

m=2/3

Answer:

a

Step-by-step explanation:

rise over run 10/5 simplifies to 2/1

For a regular polygon with n sides, interior angle

= [(n-2) × 180°]/n

So, interior angle of this regular heptagon shape

= [(7 - 2) × 180°]/7

= (5 × 180°)/7

= 900°/7

= (900/7)°

= 128.571° [approximately]

Answer:

hello,

Step-by-step explanation:

center angle : 360°/7 °

half interior angle=0.5*(180-360/7)=900/14=450/7 = 64 ° +2/7° ≈64.3 °

interior angle= 128°+4/7°≈128.6 °

Answer: Number of hot dogs sold = 65

number of soda sold = 116.

Step-by-step explanation:

Let the number of hot dogs sold be represented by x.

Since the number of hot dogs sold was 51 less than the number of sodas sold, then the number of soda sold will be: = x + 51

Since the addition of both hot dogs and soda equals 181, we can form this into an equation which will be:

= x + (x + 51) = 181

x + x + 51 = 181

2x + 51 = 181

2x = 181 - 51

2x = 130

x = 130/2

x = 65

Number of hot dogs sold = 65

Since number of soda sold equals:

= x + 51

= 65 + 51

= 116

Therefore, number of soda sold is 116.

The total number of 4-digit campus telephone numbers in which the digit 6 appears at most twice is 7533.

There are two cases to consider:

Case 1: No 6's in the number

In this case, we can choose any digit from 0 to 9 for each of the 4 digits of the telephone number, except 6. Therefore, there are 9 options for each digit, and so the total number of 4-digit telephone numbers with no 6's is:

9 × 9 × 9 × 9 = 6561

Case 2: One or two 6's in the number

In this case, we can choose the positions for the 6's in ${4 \choose 1} + {4 \choose 2} = 6 + 6 = 12$ ways (either one 6 or two 6's), and then fill the remaining positions with any of the 9 digits (not including 6). Therefore, the total number of 4-digit telephone numbers with one or two 6's is:

12 × 9 × 9 = 972

Therefore, the total number of 4-digit campus telephone numbers in which the digit 6 appears at most twice is:

6561 + 972 = 7533

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Upon calculating the sum up to the appropriate term, we find that the sum is approximately 0.0713. So, the correct answer is a. 0.0713

It seems like there is a typo in the series notation. I assume the series you are referring to is ∑(2(-1)^n-1)/(12n^2 + 1) from n=1 to infinity. In this case, we can determine the sum using a well-known function and round the answer to four decimal places. Since the given series is an alternating series, we can use the Alternating Series Estimation Theorem to determine an approximation for the sum. The theorem states that if the absolute difference between consecutive terms is decreasing and the limit of the terms as n approaches infinity is zero, the approximation for the sum is accurate up to the first term that is less than or equal to the desired error bound (in this case, 0.0001). For this series, we can see that the absolute difference between consecutive terms decreases as n increases and the limit as n approaches infinity is zero. So, we can find the smallest value of n for which the term is less than or equal to 0.0001 and calculate the sum up to that term.

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