Which is the largest decimal? 0.0688 0.667 0.68 0.6

Answer:

Second choice

Step-by-step explanation:

Multiply numerator by numerator and denominator by denominator

(2a+10)a

a^2(a^2+2a-15)

Cancel a from a^2

(2a+10)          

a(a^2+2a-15)

Factor: 5-3=2 and 5(-3)=-15. a^2+5a-3a-15=0. Group: a(a+5)-3(a+5)=(a-3)(a+5)

Factor: 2*a+2*5=2(a+5)

Cancel out (a+5)

2/(a(a-3))

Answer:

43.02

Step-by-step explanation:

Note the hundredth place value (underlined and bolded): 43.017

Look at the place value directly to the right of the one you are solving for (thousandth place value). It is a 7. Because 7 is greater than 5, round up

43.017 rounded to the nearest hundredth is 43.02

~

Answer:

43.02

Step-by-step explanation:

tens  ones.  tenths hundredths  thousandths

4          3     .   0          1                   7

The one is in the hundredths place, so we need to look at the 7

7>= 5 so we need to round the 1 up to 2

43.017 rounds to 43.02

Answer:405 meters apart. I think the m means meters, if it meant miles that would be incredible :)

Step-by-step explanation: 2.3 times 1.5 minutes is 90 seconds, so 2.3 times 90=207. 2.2 times 90 =198. 207+198=405

Answer:

24.

Step-by-step explanation:

So you need to fine 30% of 80.

I did the following method:

-Break it down, and do, 80 -/- 10 which is 8, now you have 10%, and you need to find 30, times your 10% by 3, so 24.

-Therefore, 24 out of 80 rides at the amusement park are water-related.

Hope this helps!

--Emilie Xx

By using the percentage given, we can calculate that there are 24 water-related rides at the amusement park out of the total 80 rides.

The question is asking how many of the total rides at the amusement park are water-related. This is a problem related to percentage. We know that 30% of the park's 80 rides are water-related. To find out the exact number, we multiply the total number of rides (80) by the percentage of water rides (30%), but since percentage is in terms of 100, we first convert the 30% to a decimal by dividing it by 100. This gives us 0.30. We then multiply 80 (the total number of rides) by 0.30.

Here's the calculation: 80 rides * 0.30 = 24 rides.

So, there are 24 water-related rides at the amusement park.

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Answer:

8 guest rode in each suburban .

Step-by-step explanation:

As given

victoria invited 260 people to her quinceanera party.

76 guest rode in corvettes and the rest rode in 23 suburbans.

As 76 guest rode in corvettes .

Thus

Number of guest rode in  suburbans = 260 - 76

                                                             = 184 peoples

Let us assume that the number of guest rode in each suburban be x.

Total suburbans are 23.

Than the equation becomes

x × 23 = 184

[tex]x = \frac{184}{23}[/tex]

x = 8

Therefore 8 guest rode in each suburban .

Jaylan : Water/Juice=(3/4)/(1/5)=15/4

Wanchen : Water/Juice=(2/3)/(1/6)=4/1 or 16/4

Wanchen has a weaker lime flavor because there is more water in her mixture than Jaylan's limeade. Both have the same amount of lime juice (assuming ratio), and Wanchen has more water, making Wanchen have the limeade that has the weaker lime flavor.

Answer:

x=-6,  y=3

Step-by-step explanation:

I will use elimination to eliminate the x variable.

Add the two equations.

-3x-3y=9

3x+8y=6

-------------------

   5y  = 15

Divide each side by 5

5y/5 = 15/5

y=3

Now we need to find x

3x+8y=6

Substitute y=3

3x+8*3 =6

3x+24=6

Subtract 24 from each side

3x+24-24 = 6-24

3x = -18

Divide each side by 3

3x/3 = -18/3

x=-6

Answer:

[tex]x=3.783[/tex]

Step-by-step explanation:

We are given equation of volume

[tex]V=x^3+6x^2[/tex]

now, we can are given

volume is 140 in^3

we can set 140

and then we can solve for x

[tex]x^3+6x^2=140[/tex]

so, we can draw graph of these two functions

[tex]y=x^3+6x^2[/tex]

[tex]y=140[/tex]

and then we can find intersection point

we can see that intersection point is (3.783,140)

so,

[tex]x=3.783[/tex]

Answer:

The length is 5 inches, the width is 2 inches, and the height is 14 inches.

Step-by-step explanation:

Answer:

A. 0

Step-by-step explanation:

23/40 is approximately 1/2.

11/30 is approximately 1/2.

Sine 1/2 - 1/2 = 0, then 23/40 - 11/30 is approximately 0.

By converting the given fractions to a common denominator and performing subtraction, the result falls closest to the benchmark of 0. Hence, the estimated sum or difference of 23/40 and 11/30 is 0.

The given problem is 23/40 - 11/30 and the student has to estimate the result using the benchmarks 0, 1/2, and 1.Steps to resolve the problem:

The benchmark that is closest to 1/4 is 0. So, the estimated sum or difference would be 0.

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Answer:

28%

Step-by-step explanation:

On Thursday night Anna had 20% of the votes, Ivan had 35% of the votes and Elena had 45% of the votes. You can take the number of total votes on Thursday equal to 100, then Anna had 20 votes, Ivan had 35 votes and Elena had 45 votes.

Let x be the number of votes added on Friday. All of them favored Elena, then Elena in total had 45+x votes and the number of all votes became 100+x. In the end Anna had 16%, then

100+x - 100%,

20 - 16%.

Write a proportion:

[tex]\dfrac{100+x}{20}=\dfrac{100}{16},\\ \\16(100+x)=2000,\\ \\1600+16x=2000,\\ \\16x=400,\\ \\x=25.[/tex]

Find the percent of the voters that chose Ivan:

125 - 100%,

35 - y%.

Write a proportion:

[tex]\dfrac{125}{35}=\dfrac{100}{y},\\ \\125y=35\cdot 100,\\ \\y=\dfrac{35\cdot 100}{125}=\dfrac{35\cdot 4}{5}=7\cdot 4=28\%.[/tex]

Answer:

12 years and 16 years

Step-by-step explanation:

their ages are in the ratio 3 : 4

let Anjali = 3x and Aditya = 4x ← present ages

In 8 years then

Anjali = 3x + 8 and Aditya = 4x + 8, hence

3x + 8 + 4x + 8 = 44 ← sum of their ages in 8 years

7x + 16 = 44 ( subtract 16 from both sides )

7x = 28 ( divide both sides by 7 )

x = 4

Anjali is 3x = 3 × 4 = 12 years old and Aditya = 4x = 4 × 4 = 16 years old

Answer:

30, 40, 50 which is choice C

Step-by-step explanation:

Square the smaller two values (30 and 40)

30^2 = 900

40^2 = 1600

then add those results

900+1600 = 2500

Notice how 50^2 = 2500 as well. This shows us that 30^2 + 40^2 = 50^2 is a true equation. Both sides lead to the same result 2500. Therefore, a triangle with sides 30, 40, 50 is a right triangle. This is based on the 3-4-5 pythagorean triple, just each side has been multiplied by 10.

The set that represents a Pythagorean triple is 30, 40, 50. Hence, the correct option is C.

Pythagorean triples are sets of three numbers that satisfy the Pythagorean theorem, a² + b² = c², where a, b, and c are the lengths of the sides of a right triangle. To determine which set represents a Pythagorean triple, we need to check if the set's numbers satisfy this theorem.

Looking at the options:

A) 1, 2, 3 does not form a Pythagorean triple.

B) 9, 12, 16 does not form a Pythagorean triple.

C) 30, 40, 50 does form a Pythagorean triple because 30² + 40² = 900 + 1600 = 2500 = 50².

D) 38, 44, 49 does not form a Pythagorean triple.

Therefore, the set that represents a Pythagorean triple is C) 30, 40, 50.

Answer:

B. 28 hours

Step-by-step explanation:

GIVEN :- Time taken by family to travel 600 km is 8 hours

CALCULATIONS :-

To calculate the time to travel 2100 km, we need to calculate distance traveled in 1 hour

Distance traveled in 1 hour = 600 km ÷ 8

                                             = 75 km

Time required to travel 2100 km = 2100 ÷ 75

                                                        = 28 hours

Therefore time required to travel 2100 km is 28 hours.

Final answer:

The Rawlins family, traveling at a speed of 75 km/hour, will take a total of 28 hours

Explanation:

To determine the travel time for the remaining distance of the Rawlins family's journey, we use the formula

time = distance / speed. First, we need to find the family's speed during their trip. They have travelled 600 km in 8 hours, so their speed is

600 km / 8 hours = 75 km/hour.

Next, we calculate the time it would take to travel the total distance of 2100 km at this speed. So,

time = 2100 km / 75 km/hour. Upon performing the calculation, we get 28 hours. Therefore, if they continue at the same speed, the total travel time for the entire journey would be 28 hours.

Answer:

a² + 2ah + 3a + 3h + 5 + h²

Step-by-step explanation:

to evaluate f(a + h) substitute x = a + h into f(x)

f(a + h)

= (a + h)² + 3(a + h) + 5 ← distribute

= a² + 2ah + h² + 3a + 3h + 5

Answer:

Step-by-step explanation:

Yep you are 100% correct grate job!!

Answer:

100

Step-by-step explanation:

I subtracted the 2 numbers

Answer:

900

Step-by-step explanation:

500 - (-400)=900

Question

solve equation for x

Answer:

Step-by-step explanation:

1/4 - 2/3x = 3/4 - 1/3x

1/4 - 3/4 = 2/3x - 1/3x

-2/4 = 1/3x

x = -2/4 : 1/3

x = -2/4 * 3

x = -6/4 semplified -3/2

Answer:

y=3x+2

Step-by-step explanation:

The total amount Zoe earned from babysitting is represented by the polynomial expression (x + 3) * (x - 2), which expands to [tex]x^2+x-6[/tex]

To find the total amount that Zoe earned, it is necessary to multiply the time she worked by how much she earned per hour. Zoe worked for x + 3 hours yesterday and earned x - 2 dollars per hour. Therefore, the polynomial expression to represent the total amount she earned is (x + 3) * (x - 2). This can be expanded by using the distributive property, to give the polynomial: [tex]x^2[/tex] + x - 6.

So, the amount Zoe earned can be represented by the polynomial expression [tex](x+3)*(x+2)[/tex]

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x > -3 and x < 4

in interval notation

[tex]x\in(-3,\ 4)[/tex]

>; < - a open circle on the number line and the parenthesis ( or )

≥; ≤ - a filled-in circle on the number line and the parenthesis  [ or ]

Answer:

25

Step-by-step explanation:

Since the triangle is equilateral, all the sides have the same measures.

You can set any two sides equal to each other, and solve for x.

4x-30 = 2x + 20

4x  = 2x + 50                add 30 to both sides

2x = 50                         subtract 2x from both sides

x = 25                            divide both sides by 2

You can plug x into the expressions and compare the sides to make sure its correct.

Answer: Option 'C' is correct.

Step-by-step explanation:

We need to find which has one dimension.

Since Point is undefined term with no size or dimension, but in two dimensional it is found in ordered pair i.e. (x,y)

Plane is also an undefined term with length and width but no thickness, so,  it is two dimensional.

Angle is undefined term formed by tow lines or rays diverging from a common vertex, so it is two-dimensional.

But Line is also undefined term with length only but there is no width or thickness.

So, Line has exactly one dimension.

Hence, Option 'C' is correct.

Answer:

3 hours

Step-by-step explanation:

$50-$18=$32

$32/$10.50=3.04761904762--->3 hours

Answer: ₹128

Step-by-step explanation:

To work out the simple interest, you need to work out 8% of ₹20,000 for 2 years, which is 1.08 * ₹20,000 = ₹21,600 in the first year and ₹23,200 in the second year

To work out the compound interest, you need to work out 8% of the new value

1st year: ₹21,600

2nd year: 8% of ₹21,600 = ₹23,328

The difference is ₹23,328 - ₹23,200 = ₹128

I think the answer is

1) B

2) C

3) A

hopes this helps ;)

Answer: 5,409

Step-by-step explanation: Five thousand blocks is equivalent to 5,000. Four hundred blocks is equivalent to 400. Nine ones is equivalent to 9. In standard form, this number is five thousand four hundred and nine (5,409).

Answer:

It has 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, 60 vertices, and 120 edges.

Step-by-step explanation:

hope this helped

Answer:

1/6

Step-by-step explanation:

The rise is 1 and the run is 6

Final answer:

The distance between the points (–9,2) and (–4,2) is 5 units, calculated as the absolute difference between the x-coordinates since the y-coordinates are equal.

Explanation:

The distance between the points (–9,2) and (–4,2) can be found using the distance formula, which is derived from the Pythagorean theorem. For two points (x1, y1) and (x2, y2) the distance is given by √((x2 - x1)² + (y2 - y1)²). However, because the y-coordinates of the points are the same, we can simplify this to the absolute value of the difference between the x-coordinates.

In this case, the distance is |(–4) - (–9)|, which simplifies to 5 units. There's no need to calculate a square root because there is no vertical change between the points.