1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Semenov [28]
2 years ago
12

The amount of money Sarah earns per week is modeled by the function W below where h

Mathematics
1 answer:
zzz [600]2 years ago
8 0

Answer:

416

Step-by-step explanation:

You might be interested in
What is 04.151515... into a fraction
Sergio039 [100]

Answer:

\displaystyle 4.\overline{15} = \frac{137}{33}.

Step-by-step explanation:

Start by separating this decimal number into its integer part and its fraction part:

4.151515\cdots = 4 + 0.151515\cdots

The most challenging task here is to express 0.151515\cdots as a proper fraction. Once that fraction is found, expressing the original number 4.151515\cdots will be as simple as rewriting a mixed number as an improper fraction.

Let x = 0.151515\cdots. (x + 4) would then represent the original number.

Note that the repeating digits appear in groups of two. Therefore, if the digits in x are shifted to the left by two places, the repeating part will continue to match:

\begin{aligned}x = 0.&151515\cdots && \\ 100\, x = 15.& 151515\cdots \end{aligned}.

Note, that this "shifting" is as simple as multiplying the initial number by 100 (same as 10 raised to the power of the number of digits that needs to be shifted.)

Subtract the original number from the shifted number to eliminate the fraction part completely:

\begin{aligned}&(100\, x) - x \\ &= 15.151515\cdots\\  & \phantom{=}- 0.151515\cdots\\&=15 \end{aligned}.

In other words:

99\, x = 15.

\displaystyle x = \frac{15}{99} = \frac{5}{33}.

Therefore, the original number would be:

\displaystyle x + 4 = \frac{5}{33} = \frac{132 + 5}{33} = \frac{137}{33}.

4 0
3 years ago
22 - 10 + (18 ÷ 3) =
juin [17]
Follow PEMDAS (parenthesis- exponents (& roots) - multiplication - division - addition - subtraction)


18/3 = 6

22 - 10 = 12

12 + 6 = 18

18 is your answer

hope this helps
5 0
3 years ago
Find the center and the radius of the circle with the equation: <br> x2+6x+y2+4y+12=0
Andrews [41]

Answer:

centre = (- 3, - 2) , radius = 1

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + 6x + y² + 4y + 12 = 0 ( subtract 12 from both sides )

x² + 6x + y² + 4y = - 12

Use the method of completing the square on the x and y terms

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(3)x + 9 + y² + 2(2)y + 4 = - 12 + 9 + 4

(x + 3)² + (y + 2)² = 1 ← in standard form

with centre = (- (- 3), - (- 2)) and r² = 1, that is

centre = (- 3, - 2) and radius = 1

8 0
3 years ago
21. The area of a triangle with a base of 12<br> cm and a height of 9.6 cm
Nastasia [14]
The equation for area of a triangle is A= 1/2bh so a=1/2(12cm)(9.6cm)
4 0
2 years ago
Kellen bought new fish for her home aquarium. She bought 4 turquoise guppies and 3 sunburst tetra GLO fish and spent a total of
FromTheMoon [43]

Answer: A single turquoise guppy costs $3.69

Step-by-step explanation:

Let us use "x" to represent the amount a single turquoise is sold and use "y" to represent that of the Glo fish.

Since Kellen bought 4 guppies and 3 glo fishes for $41.73:

4x + 3y = 41.73 --------eqn 1

Similarly, Danielle purchased 3 guppies and 5 Glo fish for $56.02:

Therefore 3x + 5y = $56.02 -----eqn2

The 2 equations are;

4x + 3y = 41.73 (eqn 1)

3x + 5y = 56.02 (eqn 2)

We then solve the simultaneous equations using substitution method:

From eqn 1,

4x + 3y = 41.73

4x = 41.73 - 3y

x = (41.73 - 3y)/4

Substitute x for (41.73 - 3y)/4 in eqn2.

3[(41.73 - 3y)/4 + 5y = 56.02

11y + 125.19 = 224.08

11y =98.89

y = 98.89/11

y = $8.99

So, 1 Glo fish costs $8.99

Then, substitute "y" for 8.99 in equation 1

4x + (3×8.99) = 41.73

4x + 26.97 = 41.73

4x = 41.73 - 26.97

4x = 14.76

x = 14.76/4

x = $3.69

Therefore 1 turquoise guppy costs $3.69

5 0
2 years ago
Other questions:
  • A quantity with an initial value of 870 decays exponentially at a rate of 0.55% every 4 decades. What is the value of the quanti
    11·1 answer
  • Write 63 as a product of prime factors in ascending order. I don't need the answer but the explanation as to my friends one was
    14·2 answers
  • A circle has a diameter of 8m what is the circumstance of the circle
    13·1 answer
  • HELP ME OUT PLEASE!!
    12·1 answer
  • What is the completely factored form of x3 – 64x?
    11·2 answers
  • What is the value of x is the rational expression below equal to zero? <br><br> 2-x/2+x
    8·1 answer
  • Seven cards are numbered from 1 to 7 and placed in a box. One card is selected at random and not replaced. Another card is rando
    5·1 answer
  • Which of the following is best used to measure the distance between two large cities
    8·2 answers
  • Solve the equation for x.<br> 19=-8x+35
    7·2 answers
  • Carter and Isabella run a carwash business. They split the revenue 50/50. They are deciding on if they should join forces with C
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!