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Arte-miy333 [17]
3 years ago
14

You have $25 in your bank account. You make $7 per hour babysitting. How many hours must you babysit to have a total of $165 in

your account?
Mathematics
2 answers:
wlad13 [49]3 years ago
6 0
Let’s set up an equation:

You start with 25 dollars, you make 7 an hour:

7x + 25

Set this to 165:

7x + 25 = 165

Now subtract 25 from both sides:

7x = 140

Divide both sides by 7:

x = 20

So, you must babysit 20 hours.

Hope this helps!
telo118 [61]3 years ago
5 0
Make an equation:
25 + 7h = 165

h is the total number of hours you spend babysitting.

Solve for h to find how many hours you need to babysit to have a total of $165 in your bank account.

25 + 7h = 165
Subtract 25 from both sides.

7h = 140
Divide both sides by 7.

h = 20

You must spend 20 hours babysitting to have $165 in your bank account.
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En un polinomio P(x,y), homogéneo y completo en "x" e "y", la suma de los grados absolutos de todos sus términos es 420. ¿Cuál e
Mandarinka [93]

Answer:

the degree of homogeneity is 20.

Step-by-step explanation:

In a polynomial P (x, y), homogeneous and complete in "x" and "y", the sum of the absolute degrees of all its terms is 420. What is its degree of homogeneity?

A homogeneous polynomial is one in which all monomials have the same degree.

This is an example of a homogeneous polynomial of degree 4 (the degree of all monomials is 4):

x ^ 4 + 3x ^ 3y + 2x ^ 2y ^ 2 + xy ^ 3 + 8y ^ 4.

As you can see, the sum of the exponents of the variables x, y in each monomial is 4.

And the number of terms is 5, that is, it is the degree of homogeneity plus 1.

In relation to the sum of the absolute degrees of all monomials or terms it will be: 4 + 4 + 4 + 4 + 4 = 4 * 5 = 20.

In general, you can say that the sum of the absolute degrees in a homogeneous polynomial will be the degree of each monomial by the number of terms = degree * (degree + 1)

Calling n, the degree of our polynomial, it must be fulfilled:

n (n + 1) = 420

=> n ^ 2 + n = 420

=> n ^ 2 + n - 420 = 0

Factoring:

(n + 21) (n - 20) = 0

=> n = -21 and n = 20.

Only the positive value makes sense, therefore n = 20.

In other words, the polynomial is of the form (excluding the coefficients):

x ^ 20 + x ^ 19 y + x ^ 18 y ^ 2 + x ^ 17 y ^ 3 + .... x ^ 3 y ^ 17 + x ^ 2y ^ 18 + xy ^ 19 + y ^ 20

That polynomial has 21 terms.

So the sum of the degrees will be 20 * 21 = 420, as required in the statement.

Therefore, the degree of homogeneity is 20.

8 0
3 years ago
4 7/12 divided by 3/4 multipled by 3/11
Vlada [557]
Here is the answer With working

6 0
3 years ago
Allen runs at an average rate of 9 mi/hr and walks at a average rate of 3 mi/hr. Write an equation in standard form to relate th
den301095 [7]

Answer:

The equation would be 30=12+9x.

Allen will Run for 2 hours.

Step-by-step explanation:

Given:

Total Distance traveled = 30 miles

Average rate of walking = 3 mi/hr

Average rate of running = 9 mi/hr

Time for walking = 4 hours

W need to find the time for running.

Solution:

Let Number of hrs required for running be 'x'.

Total Distance traveled is equal Distance Traveled in walking plus Distance traveled in Running

But Distance is equal Rate multiplied by Time.

Framing in equation form we get;

Hence Total Distance Traveled = Rate of walking × Hours of walking + Rate of Running × Hours of running.

Substituting the values we get;

30 = 3\times4 +9x\\\\30=12+9x

Hence The equation would be 30=12+9x

Solving above equation we get;

9x=30-12\\\\9x=18\\\\x=\frac{18}{9}=2\ hrs

Hence Allen will Run for 2 hours.

8 0
3 years ago
What is log3 ( x+5)=2?
Naddik [55]

(3) is the base of the new equation

(x + 5) is the answer of the new equation

(2) is the exponent on base (3)

;The new equation after simplifying is...,

; 3^2 = x + 5

; 9 = x + 5

; x = 9 - 5

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4 0
3 years ago
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slava [35]
(-16+12)/(-4+2)= (-4)/(-2)= 2
8 0
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