This month nathon used 3 gallons of milk on his ceral each time he eats ceral he uses 1 /12 gallon of milk how many bowls of creal did he eat this month?

Let [tex]e[/tex] and [tex]r[/tex] be the number of elves and reindeers, respectively.

We know that:

[tex]r+e=14[/tex] (so far 14 of them have arrived)

[tex]4r+2e = 38[/tex](each reindeer has 4 legs and each elf has two)

If we multiply the first equation by 2 we have [tex]2r+2e=28[/tex], and if we subtract this equation from the second we have [tex]2r=10[/tex] which implies [tex]r=5[/tex].

So, there are 5 reindeers and 9 elves (remember that they have to sum up to 14).

The number of reindeers is 5 and the number of elves is 9.

Two equations can be derived from the equation:

e + r = 14 equation 1

2e + 4r = 38 equation 2

Where:

e = number of elves at the meeting

r = number of reindeers at the meeting

In order to determine the value of r, multiply equation 1 by 2.

2e + 2r = 28 equation 3

Subtract equation 3 from 2

2r = 10

Divide both sides of the equation by 2

r = 5

To solve for e substitute for r in equation 1

5 + e = 14

e = 14 - 5

e = 9

A similar question was answered here: brainly.com/question/23589883?referrer=

Answer:

9

Step-by-step explanation:

Answer:

The answer is 6x-4 if you need to combine the like terms.

Step-by-step explanation:

So first you see if there are any like terms so I see 10x and -4x so I add them together and get 6x. I look for other like terms and find 3 and -7 and add those together so I get -4. Then you combine the 2 answers and get 6x-4. I hope this helps you! If you need any other help please let me know in the comments.

Answer:

6x-4

Step-by-step explanation:

Answer:

boys:girls

5:4

?:60

multiply 15.

?=75 boys.

Hope it helps.

Answer:

Hello there.

5:4

75:60

Step-by-step explanation:

if 60/4=15, multiply 15 with 5.

your answer is 75.

Hope it helps, thank you.

Answer:161500

Step-by-step explanation:that's your  answer

Answer:

.29

Step-by-step explanation: Subtract first by last

Answer:

0.29m longer

Step-by-step explanation:

Longest jump = 4.27m

Shortest jump = 3.98m

4.27 - 3.98 = 0.29m

Answer:

A

Step-by-step explanation:

you take the f(x) and make it negative because it's positive

you make -x^3 positive because it's negative

you make -9 positive because it's negative

hope this helps!

Answer:

Since it is a linear function, it is a directly proportional function

Step-by-step explanation:

i looked it up

9514 1404 393

Answer:

  no

Step-by-step explanation:

An equation representing a proportional relationship looks like ...

  y = kx

where k is the constant of proportionality. A notable feature of this equation is that its y-intercept is zero.

Your expression has a y-intercept of +4, so does not represent a proportion.

_____

Additional comment

Strictly speaking, a proportion is a statement of equality of two ratios. An expression cannot be a proportion. We interpreted your question to be ...

  does y = 3x+4 express a proportional relationship?

Answer:

The rate of simple interest for loan was 8%

Step-by-step explanation:

Given

Principal amount = p = $6200

Time = t = 1 year

Amount after interest = $6696

We have to calculate the amount of interest first

So,

Interest amount =I= Amount after interest - principal amount

= 6696-6200

=$496

The formula for simple interest is:

The rate of simple interest for loan was 8%

Keywords: Simple interest, percentage

Learn more about simple interest at:

Answer:

[tex]\mathbf{P(X \le 4 ) \simeq 0.0006722}[/tex]

Step-by-step explanation:

From the information given:

p = x/n

p = 7/10

p = 0.7

sample size n = 15

Suppose X be the number of accidents involved by a single-vehicle.

Then;

[tex]X \sim Binom (15,0.7)[/tex]

Thus, the required probability that at most  4 involve in a single-vehicle is

[tex]P(X\le 4) \\ \\P(X \le 4) = P(X = 0) + P(X =1 ) + ... + P(X = 4)[/tex]

[tex]P(X \le 4 ) = (^{15}_0) *0.7^0 *0.3^{15-0} + (^{15}_1) *0.7^1 *0.3^{15-1} + (^{15}_2) *0.7^2 *0.3^{15-2} + (^{15}_3) *0.7^3 *0.3^{15-3} + (^{15}_4) *0.7^4 *0.3^{15-4}[/tex]

[tex]P(X \le 4 ) = (\dfrac{15!}{0!(15-0)!}) *0.7^0 *0.3^{15-0} + (\dfrac{15!}{1!(15-1)!}) *0.7^1 *0.3^{15-1} + (\dfrac{15!}{2!(15-2)!}) *0.7^2 *0.3^{15-2} + (\dfrac{15!}{3!(15-3)!}) *0.7^3 *0.3^{15-3} + (\dfrac{15!}{4!(15-4)!}) *0.7^4 *0.3^{15-4}[/tex]

[tex]P(X \le 4 ) =1.4348907 \times 10^{-8} +5.02211745 \times 10^{-7} + 8.20279183 \times 10^{-6} + 8.29393397 \times 10^{-5} + 5.80575378 \times 10^{-4}[/tex]

[tex]P(X \le 4 ) =6.7223407 \times 10^{-4}[/tex]

[tex]\mathbf{P(X \le 4 ) \simeq 0.0006722}[/tex]

Answer:

All rational numbers greater than 24

Step-by-step explanation:

Answer:

NO they are not proportional

Step-by-step explanation:

52.3/3=62.45/5 Lets see if that is correct.

52.3/3 is  17.433333333

62.45/5 is 12.49.

No they are not the same

Hope this helps plz hit the crown :D

Step-by-step explanation:

It is given:

[tex]\mu=1000[/tex], [tex]\sigma=200[/tex]

Let x be the random variable that denotes the number of hours the lamp lights up.

what number of lights might expected to fail in the first 800 burning hours

Answer: We are required to find the expected number of lights to fail in the first 800 burning hours.

First, we have to find the probability as:

P(Z < 800)

Using the z-score formula, we have:

Using the z-score formula, we have:

[tex]P(x <800)=P \left(z<\frac{800-1000}{200} \right )[/tex]

=P(z<-1)

Now using the standard normal table, we have:

P(x<800)=P(z<-1)=0.1587

Therefore, the expected number of lights to fail in the first 800 burning hours is:

[tex]\boldsymbol{0.1587 \times 10000=1587}[/tex]

After how many burning hours 10% of the lamps would be still burning?

We first need to find the z-value corresponding to area = 1- 0.10 = 0.90. Using the standard normal table, we have:

z(0.90)=1.28

Now using the z-score formula, we have:

[tex]z= \frac{x-\mu}{\sigma}[/tex]

[tex]1.28= \frac{x-1000}{200}[/tex]

[tex]1.28 \times 200= x-1000[/tex]

[tex]256= x-1000[/tex]

x= 1000+256

[tex]\boldsymbol{x= 1256 }[/tex]

Using the Zscore principle, the number of bulbs expected to Fail in the first 800 burning hours is 1587

Given the Parameters :

The number of Lamps that might be expected to fail in the first 800 burning hours :

Recall:

Zscore = (800 - 1000) / 200 = -1

Using the normal distribution table :

P(Z < -1) = 0.15866

The number of bulbs expected to fail :

0.15866 × 10000 = 1586.6

Hence, 1587 bulbs are expected to fail in the first 800 burning hours.

Learn more : https://brainly.com/question/25226377

Answer:

Kennedy will earn 21.7 dollars per hour.

Answer:

117

Step-by-step explanation:

Answer: 129-12=117

Step-by-step explanation: 117 apples would be left.

Answer:

8.3

Step-by-step explanation:

Add all of the shoe sizes together then divide by how many shoe sizes there are and you will get your answer

Answer:

would it be 40?

Step-by-step explanation:

Answer:

The answer is either 1.0022727272727274, 40, or 1.8375000000000001.

Hope this helps, have a wonderful day/night, stay safe, happy holidays, and merry christmas!

Answer:

Correct choice: b. $1221.00

Step-by-step explanation:

Compound Interest

It occurs when the interest is reinvested on each compounding period. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

The initial deposit on a savings account is P = $1000. The account provides an annual rate of r = 4% = 0.04 compounded monthly. The value of n is 12 since there are 12 months in a year. The money is left in the account for t=5 years. Substituting the values:

[tex]{\displaystyle A=\$1000\left(1+{\frac {0.04}{12}}\right)^{12*5}}[/tex]

[tex]{\displaystyle A=\$1000\left(1.00333}\right)^{60}}[/tex]

A = $1221

Correct choice: b. $1221.00

Step-by-step explanation:

Since line NL is not necessarily congruent to MQ (labelled with different congruent marks), triangle NLM is not congruent to triangle MQP.

Instead, triangles NLM and QPM are congruent.

This could true because of the markings of the triangles' sides and angles are in the same location.

But the statement labeled the lines wrong which makes them False

Answer: 80

Step-by-step explanation:

Total amount in a triangle is 180

180 - 80 - 20 = 80

Answer:

x= -2

Step-by-step explanation:

To graph it. You know that the slope(m) is 2 and y-int is 4.

So put a point on (0, 4), (1, 6) and (0, 2) then use your ruler and just draw a straight line hitting all these points.

Ex.

When x=1

y=2x+4

y=2(1)+4

y=6

(1, 6) is a point

To solve for x-int, make y=0 because it's on the x-axis

y=2x+4

0=2x+4

-4=2x

x=-2

Answer:  x intercept= (-2,0)

y intercept= (0,4)

Step-by-step explanation:  

Step-by-step explanation:

They need to play 15 more games

Answer:

Option c - 2x + 1

Step-by-step explanation:

6x^2 - 10x +3x - 5

2x(3x-5) +1 (3x - 5)

(2x+1) (3x-5)

Answer:

Subtract 4

-10=1/8* x

Divide by 1/8

x= -80

Please rate positively and give brainlist!

Answer:

x = -80

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-6 = x/8 + 4

Step 2: Solve for x

Answer:

(c). [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The cosine is the "x" coordinate of the terminal point on the unit circle.

Thus the answer is (c). [tex]\frac{1}{2}[/tex]

Answer:

69

Step-by-step explanation: