the fourth graders sang on a two day telethon for the local children's hospital. the hospital hoped to raise $750000. one day one, the raised 398622. on day two they raised 379873. did they reach their goal? how much more or less did they raise?

The simplified expression is [tex]\(338\sqrt{x} - 40\sqrt{2y}\),[/tex] combining like terms of square roots of variables.

To simplify the given expression, let's simplify each term separately:

1. [tex]\(2 \cdot 4\sqrt{16x}\)[/tex]

  - Simplify \(4\sqrt{16x}\): Since [tex]\(16x = (4 \cdot 4) \cdot x = 4^2 \cdot x\), the square root of \(16x\) is \(4\sqrt{x}\).[/tex]

  - Substitute this result into the expression:[tex]\(2 \cdot 4 \cdot 4\sqrt{x} = 32\sqrt{x}\).[/tex]

2. [tex]\(2 \cdot 4\sqrt{2y}\) - Simplify \(4\sqrt{2y}\): Since \(2y\) doesn't have a perfect square factor, we leave it as is. - Substitute this result into the expression: \(2 \cdot 4\sqrt{2y} = 8\sqrt{2y}\).[/tex]

3. [tex]\(34\sqrt{81x}\) - Simplify \(\sqrt{81x}\): Since \(81x = (9 \cdot 9) \cdot x = 9^2 \cdot x\), the square root of \(81x\) is \(9\sqrt{x}\).[/tex]

  - Substitute this result into the expression: [tex]\(34 \cdot 9\sqrt{x} = 306\sqrt{x}\).[/tex]

4. [tex]\(4 \cdot 4\sqrt{32y}\) - Simplify \(4\sqrt{32y}\): Since \(32y = (4 \cdot 8) \cdot y = 4^2 \cdot 8y\), the square root of \(32y\) is \(4\sqrt{8y}\). - Rewrite \(\sqrt{8y}\) as \(2\sqrt{2y}\) since \(8 = 4 \cdot 2\). - Substitute this result into the expression: \(4 \cdot 4 \cdot 2\sqrt{2y} = 32\sqrt{2y}\).[/tex]

Now, combine all the simplified terms:

[tex]\[ 32\sqrt{x} - 8\sqrt{2y} + 306\sqrt{x} - 32\sqrt{2y} \][/tex]

Combine like terms:

[tex]\[ (32\sqrt{x} + 306\sqrt{x}) - (8\sqrt{2y} + 32\sqrt{2y}) \][/tex]

[tex]\[ 338\sqrt{x} - 40\sqrt{2y} \][/tex]

Therefore, the simplified form of the expression is [tex]\(338\sqrt{x} - 40\sqrt{2y}\).[/tex]

The simplified form of the expression is 338√x - 72√2y, after applying the square roots to known perfect squares and combining like terms.

To simplify the expression, first apply the square root to known perfect squares and distribute the multiplication:

2(4√16x) becomes 2(4×4√x) because √16 = 4, so this part simplifies to 32√x.

2(4√2y) stays as is because √2y cannot be simplified further without more information about y, so this part is 8√2y.

34√81x can be simplified because √81 = 9, resulting in 34×9√x, which is 306√x.

4(4√32y) becomes 4(4×√16×√2y) because √32 = √16×√2, so this part simplifies to 64√2y.

Combining all the parts, we subtract the like terms:

32√x - 8√2y + 306√x - 64√2y

This simplifies further to 338√x - 72√2y

That is the final simplified expression.

assuming you mean y² = 169

then taking the square root of both sides gives

y = [tex]\sqrt{169}[/tex] = ± 13

since 13² = 169 and (- 13)² = 169

The values of y are -13 and 13 in the equation y^2 = 169.

It is given that the expression [tex]\rm y^2 = 169[/tex]

It is required to find the values of y.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

We have a quadratic equation:

[tex]\rm y^2 = 169[/tex]

[tex]\rm y^2-169=0[/tex]   (subtract 169 on both sides)

[tex]\rm y^2- 13^2=0[/tex]           (169 = 13²)

(y+13)(y-13) = 0      (a²-b² = (a+b)(a-b))

Taking  (y+13) = 0 ⇒ y = -13

Taking (y-13) = 0  ⇒ y = 13

Thus, the values of y are -13 and 13 in the equation y^2 = 169.

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Answer:

[tex]A[/tex], | [tex]\frac{47}{10} -(3.2)[/tex] |

To find the vertical distance between a dolphin below sea level and a bird above sea level, the absolute values of their distances from sea level must be added, resulting in a distance of 4.7 + 3.2 meters, which means the correct answer is 'none of the above'.

The question is asking to calculate the vertical distance between a dolphin below sea level and a bird above sea level. To find this vertical distance, you would add the absolute values of their distances from sea level. Since sea level is our reference point, and the dolphin is at 3.2 meters below it while the bird is at 47/10 or 4.7 meters above, the expression to represent the vertical distance between the dolphin and the bird would be:

4.7 + 3.2

The correct answer is none of the above since neither of the provided expressions represents the sum of the two distances. Instead, each expression attempts to subtract one distance from the other, which is not the correct method for finding the vertical distance between two objects on opposite sides of the sea level reference point.

Answer:

49 seconds.

Step-by-step explanation:

We have been given that an elevator ascends at a rate of 29.6 feet per second. A building is 1,450 feet tall. We are asked to find the time it will take for the elevator to travel from the ground floor to the roof.

To find the time taken by elevator to reach the top of the building, we will use rate formula.

[tex]\text{Time}=\frac{\text{Distance}}{\text{Rate}}[/tex]

[tex]\text{Time}=\frac{\text{1450 ft}}{\frac{\text{29.6 feet}}{\text{second}}}[/tex]

[tex]\text{Time}=\frac{\text{1450 ft}}{\text{29.6 feet}}\times\text{second}[/tex]

[tex]\text{Time}=48.986486\times\text{second}[/tex]

[tex]\text{Time}\approx 49\text{ seconds}[/tex]

Therefore, it will take approximately 49 seconds for the elevator to travel from the ground floor to the roof.

i think it is 8/15 of the pizza

Find common denominators. Multiply 5 to numerator and denominator of 1/3, and 3 to the numerator and denominator of 1/5

(1/3)(5/5) = 5/15

(1/5)(3/3) = 3/15

Add

5/15 + 3/15 = 8/15

Ruby and Angie ate 8/15 of the pizza.

hope this helps

Well if you divide 30 by 10 then multiply by 4 you get 12 minutes.

Do the same for 45,

45 divided by 10 = 4.5 then multiply by 4 =  18

The number of miles the train will travel at the same speed is 18 miles

From the question,

We are to determine the number of miles the train travel in 12 minutes

From the question

It takes an express train 30 minutes to travel 45 miles

First, we will determine the speed

From the formula

[tex]Speed = \frac{Distance}{Time}[/tex]

Distance = 45 miles

Time = 30 minutes

∴ [tex]Speed = \frac{45}{30}[/tex]

Speed = 1.5 miles/mins

Now,

For the number of miles the train travel in 12 minutes

Time = 12 minutes

Using the formula

Distance = Speed × Time

∴ Distance = 1.5 × 12

Distance = 18 miles

Hence, the number of miles the train will travel at the same speed is 18 miles

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Hey there,

The answer your looking for is X = -3

- Ari -

The answer is x = -3 because:

-(6x+7)+8=19

-6x-7+8=19

-6x+1=19

-6x+18

x=-3

(8,15) is the answer

Nine million thirty two thousand five hundred four and seventy five hundredths.

nine million thirty-two thousand five hundred four and seventy five tenths. :)

Answer:

7 days because 15 times 7 =105 and if you add 30 to that you get 135.

Step-by-step explanation:

The Webb family rented the car for 7 days.

To find the number of days the Webb family rented the car, we can set up an equation using the given information. Let's say the number of days the car was rented is x. The total cost would then be $30 (one-time fee) plus $15 (daily fee) multiplied by x. This can be represented as the equation: 30 + 15x = 135. To solve for x, we need to isolate it by subtracting 30 from both sides: 15x = 105. Then, divide both sides by 15: x = 7. Therefore, the Webb family rented the car for 7 days.

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Turn both into decimals or fractions with a common denominator: 3.1 OR 3 1/10 and 1.2 OR 1 2/10

Now you need to subtract : 3 1/10 - 1 2/10 = 1 9/10 OR 1.9

In mixed number form : 1 9/10

19 years old double her age is 24 then you subtract 5. 19

Hector is 19 years old.

12 x 2 = 24 - 5 = 19

AB=BC=CD together with the fact the horizontal lines are parallel implies that HG=GF=FE (can be proved using triangle similarity).  So knowing FE=5.1 implies FG=5.1

Since we now know that the horizontal lines are equidistant, it means that ML=LK=KJ (same argument as above). Therefore KL=7.6.

Let me know if you have questions!

Since the horizontal lines are parallel, and AB=BC=CD, the lengths of KL and FG are: D. KL = 7.6; FG = 5.1.

In Mathematics and Euclidean Geometry, parallel lines are two lines that are always the same distance apart and never meet.

This ultimately implies that, parallel lines are always coplanar lines and straight lines that have an equal distance between each other.

By critically observing the figure, we can logically deduce that the horizontal lines are all parallel to each other with two transversals;

AB = BC = CD (Given)

AB = LM = 7.6

BC = KL = 7.6

CD = JK = 7.6

AB = GH = 5.1

BC = FG = 5.1

CD = EF = 5.1

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Answer: [tex]4\frac{5}{12}\ feet[/tex]

Step-by-step explanation:

The height of Leon's older brother = [tex]4\frac{3}{4}[/tex] feet

[tex]=\frac{16+3}{4}=\frac{19}{4}[/tex] feet

Since, Leon is 1/3 foot shorter than his brother.

Then, the height of Leon = [tex]\frac{19}{4}-\frac{1}{3}[/tex]

First we need to make them like fractions by multiplying 3 on the numerator and denominator of the first fraction and 4 on the numerator and denominator of the second fraction.

Then, the height of Leon = [tex]\frac{57}{12}-\frac{4}{12}[/tex]

[tex]=\frac{57-4}{12}\\=\frac{53}{12}=4\frac{5}{12}[/tex] feet

Hence, The  height of Leon =[tex]4\frac{5}{12}\ feet[/tex]

Answer:

This system has no solution.

Step-by-step explanation:

The equation y=2x+3 has already been solved for y, so we can substitute (2x+3) for y in the other equation, 2x - y = 7:  2x - (2x + 3) = 7.  But note that simplifying this last result turns out -3 = 7, which is of course impossible.  Thus, this equation has no solution.

Answer:

C: No solution

Step-by-step explanation:

I got it right on Edge

[tex]7t=x\\\\t=\dfrac{x}{7}[/tex]

Answer:

She can travel 36 blocks in 12 minutes.

Step-by-step explanation:

First you must find out how many blocks he can skateboard in 1 minute.

15/5

He can skateboard 3 blocks in 1 minute.

The equation I will use is b * m

b = blocks

m = minutes

so in this situation you must multiply 3 * 12 to get your answer.

which is b = 36

Answer:

She can travel 36 blocks in 12 minutes.

Step-by-step explanation:

First you must find out how many blocks he can skateboard in 1 minute.

15/5

He can skateboard 3 blocks in 1 minute.

The equation I will use is b * m

b = blocks

m = minutes

so in this situation you must multiply 3 * 12 to get your answer.

which is b = 36

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Step-by-step explanation:

:)

Answer:

4,2, and one-half in the answer!!!! :)

Step-by-step explanation:

Having used the interactive ruler, the distance from the center of the dilation to the image and pre-image is 4 Units.

Also known as an Interactive Teaching Program (ITP) ruler, this virtual tool (which displays on the computer screen) is used to measure the lines and sides of a shape.

Having used the interactive ruler, the distance from point C to point A is units is 2 units.

Also, The distance from point C to point A' is 1.5 Units.

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The equation of line will be;

⇒ y = 5x - 3

What is Equation of line?

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The perpendicular line is,

y = -1/5x - 3

And, The point contain by the line = (1 , 2)

Now,

We need to find the slope of line.

Since, Product of slopes of perpendicular lines are - 1.

So, we find the slope of perpendicular line as;

y = -1/5x - 3

dy/dx = -1/5

So, The slope of the line = - (1/-1/5) = 5

Hence, The equation of line passing through the points (1, 2) and with slope 5 is defined as;

y - y₁ = m (x - x₁)

y - 2 = 5 (x - 1)

y - 2 = 5x - 5

y = 5x - 5 + 2

y = 5x - 3

Thus, The equation of line will be;

⇒ y = 5x - 3

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a. scarcity

hope this helps! :3

Buehlermaci,

The answer is option A "scarcity." It's not option B because economics is the distribution or a production of a item. It's not option C because opportunity cost is when you are looking at the value of two things before you make a decision on which you want kinda like pros and cons. Scarcity is the shortage on a resource but the person decides to spend it on wants and needs so basically the difference between limited resources and wants and needs.

Hope this helps!

Answer:

w = -1

Step-by-step explanation:

Isolate the w. Note the equal sign. What you do to one side, you do to the other.

Add 2 to both sides

w - 2 (+2) = -3 (+2)

w = -3 + 2

Simplify

w = -1

3. w = -1 is your answer

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~Rise Above the Ordinary, Senpai

d.

5.3066 m2

that is your answer

Answer:

[tex] \dfrac{b^2}{4a^2} [/tex]

Step-by-step explanation:

There are some fractions there that are not visible.

Here it is with the fractions in place.

[tex] x^2 + \dfrac{b}{a}x = -\dfrac{c}{a} [/tex]

To complete the square, take half of the x-term coefficient, and square it.

The x-term coefficient is [tex] \dfrac{b}{a} [/tex].

Take half of it, or [tex] \dfrac{b}{2a} [/tex].

Now square it: [tex] \dfrac{b^2}{4a^2} [/tex].

That is what you must add to complete the square.

Answer:

(b/2a)^2

Step-by-step explanation:

usatestprep

Answer:

=59+108+81+x=360

=248+x=360

=112

Considering the nearest-degree measurements, angle x falls between 58.5 and 108.5 degrees, determined by adjusting the upper and lower bounds based on the provided angles in the diagram.

Given that the angles in the diagram are measured to the nearest degree, we can determine the upper and lower bounds of angle x using the provided angles: 59 degrees, 108 degrees, and 81 degrees.

To find the upper bound of angle x, we select the largest angle, which is 108 degrees. The upper bound is obtained by adding 0.5 degrees to this angle (since measurements are to the nearest degree). Therefore, the upper bound of angle x is 108 + 0.5 = 108.5 degrees.

For the lower bound, we choose the smallest angle, which is 59 degrees. The lower bound is found by subtracting 0.5 degrees from this angle. Thus, the lower bound of angle x is 59 - 0.5 = 58.5 degrees.

In conclusion, the measure of angle x lies between the lower bound of 58.5 degrees and the upper bound of 108.5 degrees.

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