AC answers are
18.7
15.5
14.3
13.1

Answer:

  [tex]\dfrac{30\,\text{mi}}{1\,\text{h}}=\dfrac{900\,\text{mi}}{t}[/tex]

Step-by-step explanation:

Since you have miles in the numerator of your rate, you need miles in the numerator of the equivalent fraction:

  [tex]\dfrac{30\,\text{mi}}{1\,\text{h}}=\dfrac{900\,\text{mi}}{t}[/tex]

This can be rearranged to ...

  [tex]\dfrac{t}{1\,\text{h}}=\dfrac{900\,\text{mi}}{30\,\text{mi}}=30[/tex]

Then, multiplying by 1 h gives the solution ...

  t = 30 h

It takes 30 hours to travel 900 miles at 30 miles per hour.

the answer is:

d. 900/? hours

Answer:

7 is the correct answer

Answer:

6km

Step-by-step explanation:

==>Given:

Map scale = 1 : 200,000

Distance on map between the park and the theatre = 3cm

==>Required:

Real life distance between the town and the theatre in km

==>Solution:

Note: the map scale given means 1cm on the map represents 200,000 cm in real life.

For a map distance of 3 cm between the town and the theatre, the real life distance would be:

3 × 200,000 = 600,000 cm

=>Convert to km

Thus, 100,000cm = 1km

Therefore, 600,000cm = 6km

Real life distance between the town and the theatre = 6km

Answer:

D. All living things are made up of cells.

Step-by-step explanation:

D. All living things are made up of cells.

O The cell theory is a widely accepted principle of biology. Scientists that contributed to the cell theory include; Theodor Schwann, Matthias Schleiden, and Rudolph Virchow.

The cell theory states that;

O All living organisms are made up of cells and they may be unicellular or multicellular.

O The cell is the basic structural and functional unit of life.

Cells arise from pre-existing cells.  

Answer:

2x + y - 4 = 0

Step-by-step explanation:

slope = -2

y = mx + b

2 = -2(1) + b

4 = b

y = -2x + 4

2x + y - 4 = 0

Answer:

the answer is 2x + y - 4 = 0

Step-by-step explanation:

me and my friend did the math and got 2x + y - 4 = 0

Answer:

2(t + 6) - 5

Step-by-step explanation:

If we are strictly following the directions, we first add t and 6 together:

t + 6

Then we multiply by 2 AFTER we add the 2 together:

(t + 6)2

At last, we subtract 5 from everything after:

2(t + 6) - 5

And we have our answer!

Answer:

2(t+6)-5

Step-by-step explanation:

The unknown number is t

=> Adding 6 will make it t+6

=> Multiplying by 2 will make it 2(t+6)

=> Subtracting 5 will make it 2(t+6)-5

Answer:

Cornor should divide the total length of the road on which there is traffic by the length of each of the cars

Step-by-step explanation:

The best calculation he can use is to divide the total length of the road on which we have the traffic by the length of each of the cars

Mathematically, the best way to go about this is to convert the miles to feet then divide by the length of each of the cars

Mathematically 1 mile = 5280 feet

so 5.5 miles will be = 5280 * 5.5 = 29,040 feet

It is this length we shall now divide by 12.5 ft

And that is 29,040/12.5 = 2,323.2

Which is approximately 2,323 cars

Answer:

2730

Step-by-step explanation:

We want to determine the greatest common divisor of the elements of the set  [tex]S = \{ n^{13} - n \mid n \in \mathbb{Z} \}.[/tex]

We apply the Fermat's little theorem which states that if p is a prime number, then for any integer a, the number aᵖ − a is an integer multiple of p.

Now, [tex]n^{13} \equiv n \mod p [/tex] if p-1 divides 12.

Since the  of 12 are 1,2,3,4, 6, 12, the corresponding primes are 2, 3, 5, 7, 13.

Therefore, the gcd of the elements in [tex]2^{13}-2[/tex] and [tex]3^{13}-3$ is 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13.[/tex]

2*3*5*7*13=2730

Therefore, the gcd of the elements in set S is 2730.

The amount of mix would be 16 and the amount of milk would be 8 work is in the picture

Answer:

the answer is 6 just check it

Answer:

Obi's age is 18 and Oba's age is 9

Step-by-step explanation:

Let Obi's age be x and Oba's age be y

Condition 1:

x = 2y -----------(1)

Condition 2:

(x-4) = 3(y-4)

=> x -4 = 3y-12

=> x - 3y = -9  -----(2)

Putting eq (1) in (2)

2y - 3y = -9

=> -y = -9

=> y = 9

Now,

x = 2y

=> x = 2(9)

=>  x= 18

Answer:

[tex]8\\4[/tex]

Step-by-step explanation:

Obi's age is [tex]x[/tex].

Oba's age is [tex]2x[/tex].

4 years ago, Obi's age was [tex]x-4[/tex].

4 years after, Obi's age is [tex]2x-4[/tex]

3 times more than Oba's, so [tex]3(x-4)[/tex]

[tex]2x - 4 = 3( x - 4)[/tex]

[tex]2x - 4 = 3x-12[/tex]

[tex]2x - 3x = -12+4[/tex]

[tex]-1x=-8[/tex]

[tex]x=8[/tex]

[tex]x-4\\(8)-4=4[/tex]

Answer:60 degrees

Step-by-step explanation:BAC =90 Degrees

BAD= 30 degrees

Since BAD and DAC are complementary angles, they add up to 90 degrees

So, 90 degrees-30 degrees= DAC which is =60 degrees

HOPE IT WAS CLEAR

Angle DAC is determined to be 60 degrees as it is complementary to angle BAD, which measures 30 degrees.

According to the given information, angle BAD measures 30 degrees. It is stated that angle BAD and angle DAC are complementary angles, meaning they add up to 90 degrees.

To find the measure of angle DAC, we subtract 30 degrees from 90 degrees:
90 degrees - 30 degrees = 60 degrees.

Therefore, the angle DAC measures 60 degrees.

Learn more about complementary angles here:

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Answer:

equilateral acute

Step-by-step explanation:

Answer:

Equilateral Acute Triangle

Step-by-step explanation:

A) mean = average. Find the total of the ages and dive by number of people:

19x 2 = 38

20x3= 60

21x1= 21

22x4 = 88

23x1=23

38 +60 +21+88+23= 230

230/ 11= 20.9

Mean = 20.9

B ) 1 more person makes the total 12 people. The mean becomes 22, so total of the ages would be 12x22= 264

Subtract the two totals 264 - 230 = 34

The person would be 34

Answer:

140

Step-by-step explanation:

Sum of angles around a point = 360

So, if one angle 8 reflex and measures 220, it’s adjacent side measures.

360-220 = 140.

Hope this helps.

Good Luck

Answer:

280 kg

Step-by-step explanation:

279.98... so it rounds up to 280

Answer:

58kg

Step-by-step explanation:

127 pounds to kg is 57.606 kgs

divide pounds by 2.205

Answer:

AC = 90, AB = 90, CAB = 180

Answer:

8

Step-by-step explanation:

Answer: There were 78 red apples at the party.

Step-by-step explanation:

This situation can be represented by the equation  

x + 3x + 2(3x) = 130    where x is the number of green apples, 3x is the number of  yellow apples and 2(3x) is the number  of red apples.

Now solve for x

x +3x +2(3x) =130

4x + 6x = 130

10x  = 130

x =  13  

Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.

2 * (3*13)  = ?

2 * 39 = 78  

Answer:

✔ 128

into the  

✔ small

tank.

After the 32 minutes, how much oil is in the large tank?  

✔ 472

gallons

Step-by-step explanation: Just did it on Edge

Using the given flow rate and time we found that after a period of 32 minutes 128 gallons of oil is moved from large tank to small one. The oil  in large tank after 32 minutes is 472 gallons.

Rate of work done is the amount of work done per unit time

rate of work done = amount of work / time taken

Given that flow rate is positive when oil is moving in large tank and rate of flow is negative when oil is moving in small tank

Given that flow rate is recorded -4 gallons per minute, which is negative .

It means that the oil is flowing in the small tank.

Rate of flow, r is 4 gallons per minutes , here work is oil flowing into a tank

Rate of flow, r  = oil flown in a tank / time taken

Given that time, t = 32 minutes

∴ rate of flow × time taken = Oil flown in small tank

⇒ r× t = oil flown in small tank = 4 × 32 = 128 gallons

Initially oil in large tank = 600 gallons

Thus, 128 gallons are moved from large tank to small tank in 32 minutes

After 32 minutes remaining oil in large tank = 600 - 128 = 472 gallons

Also, Learn more about rate of work done from the link below:

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Answer:

11.7

Step-by-step explanation:

You can form a right triangle with these points with a base of 11 and height of 4 with the third point as (-3, 1).

Using the Pythagorean Theorem, we get:

[tex]11^2+4^2=c^2\\121+16=c^2\\137=c^2\\c^2=137\\c=\sqrt{137}\\c=11.7[/tex]

The distance from A to B is roughly 11.7 units long.

The answers is  AB= 12.5.

The graph is nothing but an organized representation of data. It helps us to understand the data. Data are the numerical information collected through observation.

The word data came from the Latin word Datum which means “something given”

After a research question is developed, data is being collected continuously through observation. Then it is organized, summarized, classified, and then represented graphically.

As, per the graph

the base = 11 units and the height = 6 units

So, Using Pythagoras theorem,

11² + 6² = AB²

121+36 = AB²

157= AB²

AB = √157

hence, AB= 12.529

Learn more about graph here:

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Answer:

i'm sorry but the answer is 1.152

Answer:

[tex]1.152[/tex]

Step-by-step explanation:

[tex] \: \: \: \: \: 0.312 \\ + 0.14 \\ + 0.7 \\ =1.1 52[/tex]

hope this helps you.

Answer:

I am grade a man who is not in my life and I am 97 and the other is that 93inches is the urge for the pain of his life and I think that he is not a good person to be a

Answer:

2x=y

Step-by-step explanation:

Done

Answer:

B

Step-by-step explanation:

Answer:2x+4(C)

Step-by-step explanation:

Since all of the variables have integer exponents that are positive this is a polynomial.

Answer:

A. 102

B. 78

Step-by-step explanation:

mEG = 360 - 258 = 102°

m∠EFG = 1/2 ( major arc - manor arc) = 1/2 (258 - 102) = 78°

Answer:

Add 4x to both sides

Step-by-step explanation:

on Edge

Just take the function, and wherever it says 'x', substitute '-3' .

Then it'll say  f(-3) = -2(-3)² - 7(-3) + 6 .  Surely you can solve that.

As my old Electronic Circuits professor used to tell us, back around 1962:

"If  

f(x) = -2x² - 7x + 6

then

f(cow) = -2cow² - 7cow + 6 ."

Of all the things I learned from him, this is the thing I remember most.  

Answer:

Solution,

[tex]f(x) = - 2 {x}^{2} - 7x + 6 \\ f( - 3) = - 2 \times {( - 3)}^{2} - 7 \times ( - 3) + 6 \\ \: \: \: \: \: = - 2 \times 9 - ( - 21) + 6 \\ \: \: \: = - 18 + 21 + 6 \\ \: \: \: = 3 + 6 \\ \: \: \: \: \: = 9[/tex]

hope this helps...

Good luck on your assignment..

Answer: 151,200 combinations

Step-by-step explanation:

So we want to order the numbers 1, 2, .... , 9 in a:

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

such that the sum in each row is an odd number.

if we add 3 odd numbers we have an odd number.

if we add 2 even numbers, and an od number, we have an odd number.

where the rows are in this case (1, 2, 3), (4,5,6) and (7, 8, 9)

We have 4 even numbers and 5 odd numbers, so one combination can be:

[tex]\left[\begin{array}{ccc}1&5&3\\4&7&6\\2&8&9\end{array}\right][/tex]

Now, we for this option we can:

permute the numbers in each row: c =3*2*1 options per row and permute the rows, also c = 3*2*1

So only for this combination we have: P = (3*2)^4 possible ways of writing it.

Now, let's find the different combinations of numbers, so you can expect that we will find a lot of combinations, now let's construct them:

Suppose that in the first row we have two even numbers and 1 odd, then for the first even number we have 4 options, for the second 3 options, and for the odd number 5 options, so we have 4*3*5 combinations.

For the second row we also want two even numbers and one odd.

For the first even number we have 2 options, for the second one, and for the odd number we have 4 options, so we have 4*2*1 combinations.

In the last row we want the other 3 odd numbers, so we have 3*2*1 combinations, this adds to:

C = (4*3*5)*(3*2*1)*(4*2*1) = 2880 combinations.

If we add the fact that the rows can interchange positions, we have other 3*2*1 combinations:

C = 2880*3*2 = 16,800 and if now we add the fact that the numbers in the first two rows can permute (it is not the same (2, 4, 5) than (2, 5, 4) or (4, 2, 5)) (this happens because in these two rows we have different types of numbers, while in the third one the permutations are already included)

So the thing that can change in the first two rows is the position of the odd number, can be first, second or third, so we have other 3 permutations for the two first rows:

C = 16,800*3*3 = 151,200  which is the total number of  different combinations.

Answer:

∠ A ≈ 16.67°

Step-by-step explanation:

Using the Sine rule in Δ ABC

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{c}{sinC}[/tex] , substitute values

[tex]\frac{8}{sinA}[/tex] = [tex]\frac{16}{sin35}[/tex] ( cross- multiply )

16 sinA = 8 sin35° ( divide both sides by 16 )

sin A = [tex]\frac{8sin35}{16}[/tex] , thus

∠ A = [tex]sin^{-1}[/tex] ( [tex]\frac{8sin35}{16}[/tex] ) ≈ 16.67° ( to 2 dec. places )