7.
Charlie and Dasha are roommates, and
they have a dog. If neither of them is
home, they hire someone to watch the
dog. Charlie must go on business trips
every 6 months, while Dasha must go on
business trips every 9 months. If they
both just got back from business trips,
how many months will it be before they
need to hire someone to look after the
dog again?

Explain your answer.

Answer:

B

Step-by-step explanation:

The two smallest sides of a triangle must be greater than the third, larger one.

A: 6 + 2 > 9

   8 > 9

   False

B: 5 + 7 > 8

   12 > 8

   True

C: 2 + 4 > 6

   6 > 6

   False

Answer:

B. 50 feet

Step-by-step explanation:

6 times 2.5 is 15

so that means 20 also has to be multiplied by 2.5

which becomes 50

Answer: B. 50 feet

Step-by-step explanation:

      We can set up a proportion. x will be the length of the second rectangle, I will have width on the bottom (denominator) and length on the top (numerator). All units are in feet:

             [tex]\frac{20}{6} =\frac{x}{15}[/tex]

      Now we will cross multiply and solve for x:

             300 = 6x

             50 = x

             x = 50

             The length of the second triangle is B. 50 feet

Answer:

11. 4

12. 2

13. 2

14. 2

15. 3

Step-by-step explanation:

Now that you already know how to find the degree of a monomial, we move to the degree of a polynomial. A polynomial is a sum of monomials. Each monomial that is part of a polynomial is called a term of the polynomial.

To find the degree of a polynomial, find the degree of each term of the polynomial. Then the highest degree of all the monomials is the degree of the polynomial.

11.

4x³y has degree 4

3x²y² has degree 4

-y³ has degree 3

The highets degree of all terms is 4, so the degree of the polynomial is 4.

12.

a has degree 1

b has degree 1

-c² has degree 2

The degree of the polynomial is 2.

13.

The degrees of the terms are, in order, 2, 2, 2.

The degree of the polynomial is 2.

14.

The degrees of the terms are, in order, 1, 2, 1.

The degree of the polynomial is 2.

15.

The degrees of the terms are, in order, 3, 2, 1.

The degree of the polynomial is 3.

Answer: (p+q)(p+3r)

Step-by-step explanation:
p²+pq+3qr+3pr

Do the grouping p²+pq+3qr+3pr=(p²+pq)+(3qr+3pr), and factor out p in the first and 3r in the second group.

p(p+q)+3r(p+q)

Factor out common term p+q by using distributive property.

(p+q)(p+3r)

Answer:

  (a)  Inconsistent

Step-by-step explanation:

Two linear equations can be compared by putting both of them in standard form. Here, that means removing a common factor from the coefficients of the first equation.

  3x -6y = -12 . . . . given first equation

  x -2y = -4 . . . . . . divide by 3

Compare this to the second equation:

  x -2y = -8

The constants (-4, -8) are different, so there are no values of x and y that can satisfy both equations. The equations are described as inconsistent.

Answer:

Step-by-step explanation:

Equation 1

Equation 2

On comparison, it is seen that the slopes are same, but the y-intercepts are different.

This means this has no solution, or the graph is inconsistent.

Answer:

Step-by-step explanation:

4x + 9y = 5

-4x + 7y = 11

Isolate y for 4x + 9y = 5

9y = 5-4x

y = (5-4x) / 9

Now plug it in this equation: -4x + 7y = 11

-4x + 7[(5-4x)/9] = 11

now just solve it.

-4x + (35 - 28x / 9) = 11

multiply both sides by 9

-36x + 35 - 28x = 99

-64x = 64

divide both sides by -64

x = 1

Answer:

Step-by-step explanation:

C=2πr

r=10in

C=2*π*10

C=20*3.14

62.8 in

Step-by-step explanation:

[tex]y = (2x + 10)(x - 2)[/tex]

[tex]y = 2x(x - 2) + 10(x - 2)[/tex]

[tex]y = 2x ^{2} - 4x + 10x - 20[/tex]

[tex]y = 2x ^{2} + 6x - 20[/tex]

[tex]to \: find \: x \: intercept \: y = 0[/tex]

[tex]0 = 2x ^{2} + 6x - 20[/tex]

[tex]x = 2 \: or \: - 5[/tex]

[tex]to \: find \: y \: intercept \: x = 0[/tex]

[tex]y = 2(0)^{2} + 6(0) - 20[/tex]

[tex]y = - 20[/tex]

Answer:

y = -20

x- 2, -5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

secΘ > 0 in 1st and 4th quadrants

cscΘ < 0 in 2nd and 4th quadrants

then

secΘ > 0 and cscΘ < 0 in the 4th quadrant

Answer:

6. 75n=114. 75

Step-by-step explanation:

each magazine cost: $6.75 plus tax

and on weekend the store collected it sale total: $114.75?

=> 6.75n = 114.75 = 17 magazines sold

Answer:72/97

Step-by-step explanation: took the test.

Answer:

Polynomials are closed under division is the answer.

Answer:

Polynomials are closed under division

Also:

were did you go man :(

The correct answer is c. 100.

Step-by-step explanation:

Number of cards in the given pile = 24

Total number of diamond cards in the pile = 8

Probability of picking up a diamond in a draw of card from the pile is given by .

There are supposed to be 300 trials.

Therefore number of times a diamond card is picked from the pile is given by 300 ×  = 100.

Out of 300 trials to pick a card, about 100 times we can expect to have picked up a diamond card from the pile.

Answer:

It is 6.38 units!

Step-by-step explanation:

I took the test and it was correct.

The measure of the side length DE is 6.38 units after applying the tan ratio in the right-angle triangle option (C) 6.38 units is correct.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a right-angle triangle given:

Triangle DEF contains right angle E. If angle D measures 50° and its opposite side measures 7.6 units,

After drawing the triangle:

Applying the tan ratio in the right-angle triangle:

tan50 = EF/DE

tan50 = 7.6/DE

DE = 7.6/tan50

DE = 6.377 ≈ 6.38 units

Thus, the measure of the side length DE is 6.38 units after applying the tan ratio in the right-angle triangle option (C) 6.38 units is correct.

Learn more about the right-angle triangle here:

brainly.com/question/3770177

#SPJ5

[tex]x_{1} = \frac{1+\sqrt{3}}{2}[/tex] or [tex]x_{1} = \frac{1-\sqrt{3}}{2}[/tex]

Answer:x=-1

Step-by-step explanation:

4^x=1/4

x=-1

Answer: C

Steps:

39+17+17=73

73x0.06=4.38

4.38+73=77.38

Add the sales tax to price without tax

Answer:

C. $77.38

Step-by-step explanation:

Items + tax = total

Items × .06 = tax

OR

Items × 1.06 = total

39 + 17 + 17 = 73

73 × .06 = 4.38

73 + 4.38 = 77.38

OR

73 × 1.06 = 77.38

Hey there!

3(2x + 4y) - y

= 3(2x + 4y) - 1y

= 3(2x) + 3(4y) - 1y

= 6x + 12y - 1y

= 6x + 11y

LETS TEST OPTION D. FOR YOUR RESULT…

Option D.
6(x + 2y) - y

= 6(1x + 2y) - 1y

= 6(1x) + 6(2y) - 1y

= 6x + 12y - 1y

= 6x + 11y

6x + 11y = 6x + 11y which makes this statement TRUE ☑️

Therefore, your answer is:

Option D. 6(x + 2y) - y

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

1, 3, 5, 7

Step-by-step explanation:

the c stands for columns.

when c =1, there is 1 blue box. when c=2, there are 3 blue boxes, when c=3, there are 5 blue boxes....so on.

Answer:Day 26

Step-by-step explanation : just multiply the numbers

Answer:

AB = 6 cm

Step-by-step explanation:

[tex]In\:\triangle ABC,\:\angle B =90\degree...(Given)\\\\ side\: AB = side\: BC...(Given)\\\\\implies \angle BAC= \angle BCA= 45\degree\\\\\implies \triangle ABC\: is \: 45\degree-45\degree-90\degree \:\triangle\\\\\implies AB = \frac{1}{\sqrt 2} AC\\\\\implies AB = \frac{1}{\sqrt 2}\times 6\sqrt 2\\\\\implies AB = 6\: cm[/tex]

Answer:

I dont know

Step-by-step explanation:

Answer:

D

-by-step explanation:

all other is incorrect

Answer:

the answer is 51.315

Step-by-step explanation:

hope i was able to help you out

Answer:

If the diameter is 22 and the radius would be half of 22 so it would be 11

Answer:

1/45

Step-by-step explanation:

Total = 10

Probaility of getting yellow: 2/10

Probbaility of getting yellow again: 1/9

2/10 * 1/9= 2/90 or 1/45

Answer: 1.2

Step-by-step explanation: