You and a friend tutor for a total of 12 hours. Use the tape diagram to find how many hours you tutor.

Answer:

No, it is not a prime factorization, this is the real prime factorization

Step-by-step explanation:

2⁵x 3 x 5⁴ x 11

The first one was not a prime factorization because 8 is not a prime number.

Answer:

Kim's age is twice of that of her sister. We'll let k2 = Kim and k = Kim's sister.

So, k2. When you add Kim's age to her sister age you get 36.

Because Kim is twice the age of her sister k2. And because it said 'add' then we put a + sign. k2 + s = 36. Now let's solve it.  

k2 + k = 36 < Given

3k = 36 < Combine like terms

k = 12 < Divide both sides by 3

We know Kim's sister is 12 y/o but what about Kim herself? Earlier we assigned Kim to k2. Substitute 12 for k and you get 12(2) = 24

Kim's sister is 12 y/o and Kim is 24 y/o

Step-by-step explanation:

Mark as brainliest please

Kim's age = x

Age of her sister = y

Acoording to conditions, [tex]x=2y[/tex]

The equation  is,

[tex]x+y = 30 \\\\\implies 2y + y = 30\\\\\implies 3y = 30 \\\\\implies y = 10\\\\x = 2y = 2(10) = 20\\\\\text{Hence, Kim is 20 years old and her sister is 10 years old.}[/tex]

Answer:

13 AND 14

Step-by-step explanation:

THERE IS NO PICTURE OR ANY ANSWERS

The average rate of change of the function is -59.4

The formula for calculating the rate of change of the function is expressed as:

[tex]f'(x)=\frac{f(b)-f(a)}{b-a}[/tex]

Given the function

[tex]f(x)=120(0.1)^x\\f(0) = 120(0.1)^0\\f(0)=120\\[/tex]

Get the value of f(2)

[tex]f(2)=120(0.1)^2\\f(2) = 120(0.1)^2\\f(2)=1.2\\[/tex]

Substitute into the formula to have:

[tex]f'(x)=\frac{1.2-120}{2-0}\\f'(x)=\frac{118.8}{2} \\f'(x)= -59.4[/tex]

Hence the average rate of change of the function is -59.4

Learn more on the rate of change here: https://brainly.com/question/11627203

To Prove:-

JK=IJ

JK= ½IK = IJ= ½IK

JK= IJ(Equal Distance)

GK//HI (Parallel)

Therefore, JK congruent IJ

Hope This Helps

Answer: The base is going to be 6 inches.

Step-by-step explanation:

So to find the area of a triangle we need to know the formula which is A= 1/2bh (A= one half times base times height) So, all we need to do is multiply the area by 2

32*2=72 Then to find the missing length, we divided the area by 12 which is 6.

The leading term is the term with the highest degree (highest exponent number). Here, the leading term is =》B) - 5x²y³

³ is the highest degree in the given expression.

_____

Hope it helps ⚜

Answer:

138

Step-by-step explanation:

Answer:

If he pays with 2 Hundred Dollar Bills he will get $45.52 in change.

Explanation:

$70.96 + $83.52 = $154.48

2 Hundred Dollar Bills = $200.00

$200.00 - $154.48

Answer:

5 milimeters

Step-by-step explanation:

Answer:

Y-intercept: -3

Equation: y = -2/3x -3

Step-by-step explanation:

Slope intercept equation: y = mx + b, m is the slope and b is the y-intercept

Substitute m with -2/3, your equation should now be y = -2/3x + b

To find the y-intercept, plug in the point (-12,5) and solve for b.

1. 5 = -2/3(-12) + b

2. 5 = 8 + b

3. b = 8 - 5

4. b = 3

Answer:

Step-by-step explanation:

The vertex is halfway between the focus and the directrix:

  ((-7, 7) +(-7, 3))/2 = (-14, 10)/2 = (-7, 5) . . . . vertex coordinates

The value of p is the distance from the focus to the vertex:

  7 -5 = 2 = p

In vertex form, the equation of the parabola is ...

  y = 1/(4p)(x -h)^2 +k . . . . . . vertex (h, k)

  y = 1/8(x +7)^2 +5

Answer:

Step-by-step explanation:

Answer:

0.7, 7/10

Step-by-step explanation:

3.5% of 20 would be 3.5/100x20 = 3.5/5 = 0.7. Also, 0.7 = 7/10.

Answer:

see below

Step-by-step explanation:

here we are using the distributive property and noting that i^2=-1 so the answer is -36i-(63i^2) or -36i+63

Answer:

y+3=-6(x+8)

Step-by-step explanation:

Because we already know a point and the slope, we can put our equation in the form y-y1=m(x-x1);

y+3=-6(x+8)

Answer:

A = 2.42 sq. meters

Step-by-step explanation:

13 feet = 13 × 0.305 = 3.965 meter

2 feet = 2 × 0.305 = 0.61 meter

A = lw

A = (3.965) × (0.61)

A = 2.41865 sq. meters

A = 2.42 sq. meters

Answer:

The answer is reflection on the y-axis

Step-by-step explanation:

Reflection on the x-axis will change the y-intercept

Horizontal shrink will change the slope but not to the point of making the 3 negative

Horizontal stretch is the same concept

Thus Reflection on the y-axis on the y-axisis the answer

Hope this helps!

Answer:

276 guests

Step-by-step explanation:

Let the number of guests be n.  We are to find the value of n.

Then (1/3)n + (5/12)n + 69 = n, or

                (9/12)n + 69 = n or (12/12)n

Solving for n, we get    (3/12)n = 69, or (1/12)n = 23, or n = 12(23) = 276

There were 276 guests at the wedding.

Check:  Does (1/3)(276) + (5/12)(276) + 69 work out to 276?  yes

Bottom left as it's measurements and shape are the closest to the one Jan has

Euler's polyhedron formula, V − E + F = 2

Answer:A repair bill for a car is $648.45. The parts cost $265.95. The labor cost is $85 per hour.

Step-by-step explanation:

had this question

Answer:

I'm not going to give the answer yet to see if you can figure it out.

Step-by-step explanation:

1. Find the place that your are rounding to. Ex: 6085

2. Then, look "nextdoor"; the number to the right of the number underlined. Ex: 6085

3. If this number is 1-4, then keep it the same. If it is 5-9, then add one to the digit to the left. Ex: 6085 becomes 6185

4. All of the digits to the right stay the same. Ones to the left become zero. Ex: 6185 becomes 6100.

I hope this helps!

Answer:

12

Step-by-step explanation:

The Pythagorean theorem shows that 400 or 20² - 256 or 16² = 144 or 12² which means that the other side is 12

x=12

Answer:

1 cm

Step-by-step explanation:

Applying the leg rule, the value of z in the right triangle given is: √30 units.

The leg rule states that, hypotenuse/leg = leg/part.

Given the following:

Plug in the values into the leg rule:

10/z = z/3

z² = (10)(3)

z² = 30

z = √30 units

Learn more about the leg rule on:

https://brainly.com/question/25016594

#SPJ1

Answer:

12 laps

Step-by-step explanation:

15÷4=3.75

45÷12=3.75

not sure whether it's true or not but at least I got the answer-

A) This event is a union. If a card is of the suit of clubs or a face card or both, then it belongs to the set of "cards with clubs or a face".

For the probability in question, we use the inclusion/exclusion principle:

P(club or face) = P(club) + P(face) - P(club and face)

That is, we add the probabilities of drawing a club and of drawing a face card, and subtract the probability of both conditions being met because, in a certain sense, we've double-counted the event of the card being both of clubs and a face. The sets "club" and "face" are not disjoint; there is overlap between them.

Then we have

P(club) = 13/52

P(face) = 12/52

P(club and face) = 3/52

so that

P(club or face) = 13/52 + 12/52 - 3/52 = 22/52 = 11/26

B) This event is an intersection. If a card is of the suit of clubs and a face card, then it belongs to both the set of clubs and the set of face cards.

We already found the probability of the intersection above:

P(club and face) = 3/52

C) If a given card is not a club and not a face card, this is the same as saying the card is neither a club nor a face card. In other words,

P(not club and not face) = P(not(club or face))

and this probability is complementary to the probability that a card is either a club or face, which is to say

P(not(club or face)) = 1 - P(club or face)

Using the result from part (A), we have

P(not club and not face) = 1 - 11/26 = (26 - 11)/26 = 15/26