Ammy wrote 66 as an expression equivalent to (62)4 . Her math partner writes 68. Who is correct? Why?

Answer: The wheel make 315 complete revolutions in one minute

Step-by-step explanation: Given speed of convertible =45 miles/hr

To answer this question you will need to know how many inches the car travels Per minute.

1. To find this out you will first divide 45 miles by 60 to get the number of miles per minute.

The convertible travels 0.75 mi./min.

2. Next you will convert this number of miles to inches.

There are 63,360 inches per mile.

0.75 x 63360 = 47520 inches per minute.

3. You then need to find the distance the wheel travels in one rotation. You will need to find the circumference of the wheel.

C = pi x d

3.14 x 48

C = 150.72 inches

Each rotation is about 150.72 inches.

4. Finally, divide the total distance traveled in a minute by the circumference(distance of one rotation) to get the total number of rotations in a minute.

47520/150.72 is about 315.3 rotations per minute.

Answer: it’s 315.3

Step-by-step explanation: A convertible is traveling at 45 miles per hour, and its wheels have a diameter of 48 inches. How many complete revolutions do the wheels make in one minute?

rev/min

Answer:

9/10 NINE OVER 10

Step-by-step explanation:

To add two fractions they must be over a common denominator, which for this problem is  10. To put each fraction over a common denominator we must multiply each fraction by the appropriate form of  1. 2/5 + 1/2 ( 2/2 X 2/5 ) +  (5/5 X 1/2 ) --> 4/10 + 5/10

We can now add the numerators of the two fractions over the common denominator: 4/10 + 5/10 ---> 4+5/10 ---> 9/10.

Hope this helps! I know what does though, marking me brainliest.

Answer:

x= 7    x = ±√3

Step-by-step explanation:

h(x)=x^3-7x^2-3x+21

Factor by grouping

h(x) = x^2( x-7)  -3 (x-7)

Factor out an (x-7)

h(x) = (x-7)  ( x^2 -3)

Using the zero product property

0= (x-7)  ( x^2 -3)

x-7 =0     x^2 -3 =0

x=7     x^2 =3

x= 7    x = ±√3

Answer:

y= -x+2

Step-by-step explanation:

Equation for this is y=mx+b. we just need to move the x to the other side divide by 2 and we get our answer.

Answer:

B° is the interior angle

Step-by-step explanation:

An interior angle is an angle that is formed when two sides of a polygon share an endpoint. Therefore, B° is the interior angle because it is formed when the two sides of the polygon shown share the same endpoint.

Answer:

The correct answer would be B°

Step-by-step explanation:

"Interior" means "inside". Angle B° is the only one on the inside of the shape.

Answer:

14.4 × 10^13

Step-by-step explanation:

.........

Answer:

The first two.

Step-by-step explanation:

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

Answer:

[tex]{\huge{\pink{\underline{\underline{Answer}}}}}[/tex]

Triangle ABC and Triangle XYZ are cngruent due to S.S.S. congruence rule...

After buying the cookies, they both lost money but still share the same balance because in the question it says they went to the store together and decided to buy some cookies, splitting they cost equally, Key word Equally. since they spent the same amount as one another they still share the same balance.

Answer:

54

Step-by-step explanation:

thetvdjsvahchcbdsbh

Answer:

Yes

Step-by-step explanation:

I think so but im not 100% sure sorry if im inncorrect.

Answer: since there are two points there should be two equations so you could find the final equation for that whole line

Step-by-step explanation:

Answer:

(a) $16.25

(b) 7

Step-by-step explanation:

Rent of 1 raft for 1 day= $10

So, rent for 1 raft for half-day=10/2=$5

Charge for 1 person for half-day river trip =$15

Flat rate for half-day river trip=$200

(a) There is 4 member of the Kaplan on the trip.

One raft can hold up to 10 people, so, they need to take 1 raft on rent.

Rent of 1 raft for half-day =$5

Charge for 4 persons for half-day river trip =$15x4=$60

Total cost for the half-day trip for 4 persons=5+60=$65

Cost for half-day trip for 1 person= $65/4=$16.25

(B) Let there are n peoples on the river trip.

For the number of people up to 10, they need to take one boat on rent.

Total per person cost=(Cost for rent of 1 boat for half-day)+( Cost for half-day river trip)

=5+15n.

Cost for flat rate= (Cost for rent of 1 boat for half-day)+( Flat rate cost)

=5+100

The condition for which the flat-rate cost is less expensive than the per person rate cost is

[tex]5+100<5+15n[/tex]

[tex]\Rightarrow 100<15n[/tex]

[tex]\Rightarrow n>\frac{100}{15}[/tex]

[tex]\Rightarrow n>6\frac{2}{3}[/tex]

As n is the number od person which cant be a fractional value, so

n=7,8,9,... or [tex]n\geq7[/tex]

So, a minimum of 7 people must be on the river trip to make the flat rate less expensive than the per person rate.

Answer:

58.50$

Step-by-step explanation:

im not sure this is the answer you are looking for but

45 can be 90 and 27 can be 108

27*2 is 54

27*3 is 81

27*4 is 108

Answer: 45 = 90

27 = 108

Step-by-step explanation: A multiple is the result of multiplying the number by any integer.

Multiply 45 by 2 and you get 90 which fits between 85 and 110.

Multiply 27 by 2, but it only reaches 54 which doesn’t fit. Multiply 27 by 3 and you get 81, which still doesn’t fit between 85 and 110. Lastly, try multiplying 27 by 4 which gives you 108. This fits between 85 and 110!

Hope this helps, feel free to ask any further questions.

Answer:

956

Step-by-step explanation:

You could answer this by doing division

So you could write it as 2316 (division symbol) 2.4=956

Hope this helped a bit!

Answer:

I hope that this helps... (2n-1)

Step-by-step explanation:

1)If n is a natural number, (2n-1) is an odd number for n greater or equal to 2 .

2) Is n is a whole the number the same thing applies but the range of n just has its vertex at -1.(Odd integer)

3)If n is any integer, then the range is all integers from -Infinity to +Infinity.(Odd integer)

4)If n is any complex number, n can be represented in the form of e^i thetha (Euler’s form) but nothing can b e commented on whether it is odd or even.

5)If n is any real number the range of this data can be from -Infinity to +Infinity, nothing can be commented on whether the number is odd or even.

Answer:

Step-by-step explanation:

A pole, its shadow and a tower with its shadow form similar right triangles

Let the tower be x m tall

Then as per similarity we have the ratio of corresponding sides:

Answer:

h=7

Step-by-step explanation:

Answer:

[tex]equation \: for \: pythagorean \: theorem \: is \: \\ {3.8}^{2} + {6.8}^{2} = {x}^{2} [/tex]

Answer:

Step-by-step explanation:

see attached

Answer:

The answer is 40.

Step-by-step explanation:

Both of the angles given are congruent. 2y-10=70. To get y, you must multiply 2 and 40 together, making 80. Then you subtract it by 10, making it 70 degrees.

Answer:

[tex] x = 18 [/tex]

[tex] y = 5 [/tex]

Step-by-step explanation:

49° + (3x)° = (7x - 23)° (corresponding angles)

[tex] 49 + 3x = 7x - 23 [/tex]

Collect like terms

[tex] 49 + 23 = 7x - 3x [/tex]

[tex] 72 = 4x [/tex]

Divide both sides by 4

[tex] \frac{72}{4} = x [/tex]

[tex] 18 = x [/tex]

[tex] x = 18 [/tex]

(3x)° = (11y - 1)° (corresponding angles)

Plug in the value of x and solve for y

[tex] 3(18) = 11y - 1 [/tex]

[tex] 54 = 11y - 1 [/tex]

Add 1 to both sides

[tex] 54 + 1 = 11y [/tex]

[tex] 55 = 11y [/tex]

Divide both sides by 11

[tex] \frac{55}{11} = y [/tex]

[tex] 5 = y [/tex]

[tex] y = 5 [/tex]

Answer:

x=12

Step-by-step explanation:

9x+2=10x-10

9x-10x=-10

-x=-10-2

x=12

x=12

Answer: C

Step-by-step explanation:

Answer:

1 km

Step-by-step explanation:

if the distance between M and K is 2 km and the store is situated exactly in the middle between M and K then the distance to the store from either M or K is half the distance between the two points M and K and therefore 1 km

Answer:

no solutions

Step-by-step explanation:

-3(x-20)=5-3x

-3x+60=5-3x add 3x to both sides

60=5 not true

no solutions

Answer:

no solution

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(x−20)=5−3x

Step 1: Simplify both sides of the equation.

−3(x−20)=5−3x

(−3)(x)+(−3)(−20)=5+−3x(Distribute)

−3x+60=5+−3x

−3x+60=−3x+5

Step 2: Add 3x to both sides.

−3x+60+3x=−3x+5+3x

60=5

Step 3: Subtract 60 from both sides.

60−60=5−60

0=−55

Answer:

Step-by-step explanation:

p(2p-1)-10

Answer:

[tex]\mathrm{No\:Solution}[/tex]

Step-by-step explanation:

[tex]-5r +6 \leq -5(r+2)\\\\Expand \\\\-5r+6\le \:-5r-10\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\-5r+6-6\le \:-5r-10-6\\\\Simplify\\-5r\le \:-5r-16\\\\\mathrm{Add\:}5r\mathrm{\:to\:both\:sides}\\-5r+5r\le \:-5r-16+5r\\\\Simplify\\0\le \:-16\\\\\mathrm{Therefore,\:the\:solution\:is}\\\mathrm{No\:Solution}[/tex]