The sum of three numbers is 12. If the second number is subtracted from the sum of the first and third numbers, the result is 2. If the third number is subtracted from the sum of the first and second numbers, the result is 4. Find the three numbers.

Answer:

392 miles in all.

Answer:

392 miles  

Thats it

Answer:

22 feet

Step-by-step explanation:

As the given measurements are not all in the same units, convert all measurements to inches using the conversion 1 ft = 12 inches:

Therefore:

Draw a diagram using the given information (see attachment).

From the diagram, we can see that the flagpole and the person are parallel.  Therefore, the two triangles are similar.

In similar triangles, corresponding sides are always in the same ratio.

Therefore, set up a ratio of height to shadow length and solve for h:

\(\implies \sf Flagpole\;height:Flagpole:shadow=Person\;height:Person\;shadow\)

\(\implies \sf h:168=66:42\)

\(\implies \sf \dfrac{h}{168}=\dfrac{66}{42}\)

\(\implies \sf h=\dfrac{66}{42} \cdot 168\)

\(\implies \sf h=\dfrac{11088}{42}\)

\(\implies \sf h=264\;inches\)

Convert the height into feet by dividing by 12:

\(\implies \sf h=\dfrac{264}{12}=22\;feet\)

Therefore, the height of the flagpole is 22 feet.

Answer:

Step-by-step explanation:

y=kx²

y₁=k(1)²=k

y₃=k(3)²=9k

y₁-y₃=k-9k=32

-8k=32

k=-4

y=-4x²

y₋₂=-4(-2)²=-16

4.65 kg the mass of each item (assuming the bag's mass is negligible). (Sand density is 3.00 g/cm3, while the density of gold is 19.3 g/cm3)

Given that,

A gold statue that is perched on a pedestal with a weight-sensitive alarm is replaced by a thief using a bag of sand. The statue and the bag of sand have the exact same volume, 1.55 L.

We have to calculate the mass of each item (assuming the bag's mass is negligible). (Sand density is 3.00 g/cm3, while the density of gold is 19.3 g/cm3)

We know that,

Mass of gold = Volume × Density

= 1.55×1000 cc × 19.3

= 29915 grams

= 29.915 Kg

Mass of sand = 1.55×1000×3

= 4650g

= 4.65 Kg

Volume = 1.55 L

= 1.55 × 1000 cc

= 1550 cc

Mass = Volume × Density

Mass of gold = 1550 × 19.3

= 29915 grams

= 29.915 kg

Mass of sand = 1550 × 3

= 4650 grams

= 4.65 kg

Therefore, 4.65 kg the mass of each item (assuming the bag's mass is negligible). (Sand density is 3.00 g/cm3, while the density of gold is 19.3 g/cm3)

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Answer:

The number is 500.

Step-by-step explanation:

Let n be the number

Convert percent to decimal

20% = 0.20

0.20n = 100

Divide both sides of the equation by 0.20

0.20n/0.20 = 100/0.20

n = 500

Answer:

$37.5

Step-by-step explanation:

Well lets see. 15% of $250 is 37.5. So AFTER the markup the TV cost 287.5.

Answer:

9.4

Step-by-step explanation:

85/9=9.4...

I put ... at end because it continues forever the 4s I hoped I helped

The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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Answer: -4/7

Step-by-step explanation:

To find the slope, let's change the equation to slope-intercept form.

\(4x+7y=9\)              [subtract both sides by 4x]

\(7y=-4x+9\)           [divide both sides by 7]

\(y=-\frac{4}{7}x+\frac{9}{7}\)

Now, we know the slope is -4/7.

Answer:

Yes, she is. The exact product of 602 and 341 is 205,282.

Step-by-step explanation:

To determine the exact product of 602 and 341, both numbers must be multiplied, obtaining the result. To do this, said number can be decomposed, to facilitate the operation and to be able to corroborate the accuracy of the result.

So, we can multiply 602 by 300, plus 602 by 40 and 602 by 1, and add the results.

Therefore, since 602 times 300 is equal to 180,600 (602 x 300 = 180,600); that 602 times 40 is equal to 24,080 (602 x 40 = 24,080); and since 602 times 1 is equal to 602, all those values must be added.

So 180,600 plus 24,080 equals 204,680. And in turn, 204,680 plus 602 equals 205,282. Therefore, the proposed result is correct.

The angle between u and v is approximately 26.6 degrees.

To find the angle between two vectors, u and v, we can use the dot product formula:

u · v = ||u|| ||v|| cosθ

where u · v represents the dot product of u and v, ||u|| and ||v|| represent the magnitudes of u and v respectively, and θ represents the angle between the vectors.

Given that u = (8, -2) and v = (5, -5), we can calculate the dot product as follows:

u · v = (8 * 5) + (-2 * -5) = 40 + 10 = 50

Next, we find the magnitudes of u and v:

||u|| = √(8^2 + (-2)^2) = √(64 + 4) = √68 ≈ 8.246

||v|| = √(5^2 + (-5)^2) = √(25 + 25) = √50 ≈ 7.071

Substituting these values into the dot product formula:

50 = 8.246 * 7.071 * cosθ

Simplifying, we have:

cosθ = 50 / (8.246 * 7.071) ≈ 0.899

Taking the inverse cosine (arccos) of 0.899, we find:

θ ≈ 26.6 degrees

Therefore,To find the angle between two vectors, u and v, we can use the dot product formula:

u · v = ||u|| ||v|| cosθ

where u · v represents the dot product of u and v, ||u|| and ||v|| represent the magnitudes of u and v respectively, and θ represents the angle between the vectors.

Given that u = (8, -2) and v = (5, -5), we can calculate the dot product as follows:

u · v = (8 * 5) + (-2 * -5) = 40 + 10 = 50

Next, we find the magnitudes of u and v:

||u|| = √(8^2 + (-2)^2) = √(64 + 4) = √68 ≈ 8.246

||v|| = √(5^2 + (-5)^2) = √(25 + 25) = √50 ≈ 7.071

Substituting these values into the dot product formula:

50 = 8.246 * 7.071 * cosθ

Simplifying, we have:

cosθ = 50 / (8.246 * 7.071) ≈ 0.899

Taking the inverse cosine (arccos) of 0.899, we find:

θ ≈ 26.6 degrees

Therefore, the angle between u and v is approximately 26.6 degrees.

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The value of the constant of proportionality is 1/7

From the question, we are to determine the constant of proportionality between x and y.

If x varies directly as y,

Then, we can write that

x ∝ y

Therefore,

x = ky

Where k is the constant of proportionality

Now,

From the given information

When x is 5, y is 35

Put the values of x and y into the equation

x = ky

5 = k × 35

k = 5/35

k = 1/7

Hence, the value is 1/7

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LOL, i really need points.

Answer:

A.

Step-by-step explanation:

Let's think of this as a clock.  We can see that the 2 lines start in the same place, around 3 o'clock.  Next, one of the line segments shifts down to around 6 o'clock.  Next, it shifts to about 9 o'clock.  Logically, the next step (in a clock) would be 12 o'clock, making A the correct choice.

We can also just use a regular circle, with one of the line segments moving 90 degrees each time.

Hope this helps! :)

Answer:

2.4*18 = $43.2

stock price is $43.2

Step-by-step explanation:

The linear equation L, which is a translation of line M, can be written as:

y = (2/3)*x - 2

So the correct option is the last one.

First, we need to find the equation of line M.

Remember that the general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = -2, then we wll get:

y = a*x - 2

And we can also see that the line passes through (-3, -4)

Replacing these values we will get:

-4 = a*-3 - 2

-4 + 2 = -3a

-2/-3 = a

2/3 = a

So line M is:

y = (2/3)*x - 2

And line M is a translation of 3 units down and 2 units left of L, then L is a translation of 3 units up and 2 units to the right, then we can write line L as:

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

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

y = (2/3)*x - 4/3 + 1

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

So the correct option is the last one.

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Answer:

-5/33

Step-by-step explanation:

Answer:

s = 2 1/3 + 1/2

t = 2/3 + 3/2

We have to find the sum of both s and t.

2 1/3 + 1/2 = 2 2/6 + 3/6 = 2 5/6

2/3 + 3/2 = 4/6 +  9/6 = 13/6 = 2 1/6

If we look at the number lines, we can see that c matches with both points.

Answer: 40 years old.

Step-by-step explanation:

Let man's age = a

Let son's age = b

Since a man is 4 times as old as his son, therefore

a= 4b

In 5 years, he will only be 3 times as old as his son, therefore

a+5=3(b+5)

Apply substitution method :

4b+5=3b+15

b=10

a=40

The results show that the most common response was access, with 27% of the respondents choosing it as the most urgent health problem.

Cost came in second place, with 20% of the respondents choosing it. Obesity and cancer followed closely behind, with 14% and 13% of the respondents choosing them, respectively. Government interference and the flu were the least common responses, with only 3% and less than 0.5% of the respondents choosing them, respectively.

The margin of sampling error for the poll is ±4 percentage points, which means that if the poll was conducted multiple times, 95% of the time, the results would be within 4 percentage points of the actual population values.

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Answer:

-2

Explanation:

Slope formula:

y2 - y1 ÷ x2 - x1

-3 - 3 = -6

5 - 2 = 3

-6 ÷ 3 = -2

9514 1404 393

Answer:

  B  2(−10x+2y−1)

Step-by-step explanation:

The greatest common factor is 2. Factoring that out gives the factorization shown in choice B.

  2(-10x +2y -1)

__

You could factor out -2. Doing that would give ...

  -2(10x -2y +1) . . . . . . . doesn't match choice C

Answer:

45

Step-by-step explanation:

9*? 15*1

9*? 15*2

9*5 15*3

Answer:

least common multiple of 9 and 15 is 45.

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

Opposite sides are equal in a parallelogram

AD = BC

5x - 12 = 3x + 20

5x - 3x = 20 + 12

2x = 32

x = 32/2

x = 16

Answer:

2,740,754.11467 or 2,740,754

Step-by-step explanation:

800,000(1.08)^16

y=a(b)^x

a is the starting point

b is growth

x is years

you get the growth by adding 8 to 100 then dividing by 100.

Answer: -3

Step-by-step explanation: