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
nordsb [41]
3 years ago
5

Thomas earns x dollars each week walking his neighbor’s dog. He also earns $10 allowance each week. Which expression represents

the amount of money Thomas has earned after 4 week select each correct statments
Mathematics
1 answer:
aliya0001 [1]3 years ago
7 0
4(x+10) would be the simplest equation. 4 represent the 4 weeks. X is how much he earns walking his neighbor's dog. 10 represents his allowance.
You might be interested in
Find the two intersection points
bogdanovich [222]

Answer:

Our two intersection points are:

\displaystyle (3, -2) \text{ and } \left(-\frac{53}{25}, \frac{46}{25}\right)

Step-by-step explanation:

We want to find where the two graphs given by the equations:

\displaystyle (x+1)^2+(y+2)^2 = 16\text{ and } 3x+4y=1

Intersect.

When they intersect, their <em>x-</em> and <em>y-</em>values are equivalent. So, we can solve one equation for <em>y</em> and substitute it into the other and solve for <em>x</em>.

Since the linear equation is easier to solve, solve it for <em>y: </em>

<em />\displaystyle y = -\frac{3}{4} x + \frac{1}{4}<em />

<em />

Substitute this into the first equation:

\displaystyle (x+1)^2 + \left(\left(-\frac{3}{4}x + \frac{1}{4}\right) +2\right)^2 = 16

Simplify:

\displaystyle (x+1)^2 + \left(-\frac{3}{4} x  + \frac{9}{4}\right)^2 = 16

Square. We can use the perfect square trinomial pattern:

\displaystyle \underbrace{(x^2 + 2x+1)}_{(a+b)^2=a^2+2ab+b^2} + \underbrace{\left(\frac{9}{16}x^2-\frac{27}{8}x+\frac{81}{16}\right)}_{(a+b)^2=a^2+2ab+b^2} = 16

Multiply both sides by 16:

(16x^2+32x+16)+(9x^2-54x+81) = 256

Combine like terms:

25x^2+-22x+97=256

Isolate the equation:

\displaystyle 25x^2 - 22x -159=0

We can use the quadratic formula:

\displaystyle x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

In this case, <em>a</em> = 25, <em>b</em> = -22, and <em>c</em> = -159. Substitute:

\displaystyle x = \frac{-(-22)\pm\sqrt{(-22)^2-4(25)(-159)}}{2(25)}

Evaluate:

\displaystyle \begin{aligned} x &= \frac{22\pm\sqrt{16384}}{50} \\ \\ &= \frac{22\pm 128}{50}\\ \\ &=\frac{11\pm 64}{25}\end{aligned}

Hence, our two solutions are:

\displaystyle x_1 = \frac{11+64}{25} = 3\text{ and } x_2 = \frac{11-64}{25} =-\frac{53}{25}

We have our two <em>x-</em>coordinates.

To find the <em>y-</em>coordinates, we can simply substitute it into the linear equation and evaluate. Thus:

\displaystyle y_1 = -\frac{3}{4}(3)+\frac{1}{4} = -2

And:

\displaystyle y _2 = -\frac{3}{4}\left(-\frac{53}{25}\right) +\frac{1}{4} = \frac{46}{25}

Thus, our two intersection points are:

\displaystyle (3, -2) \text{ and } \left(-\frac{53}{25}, \frac{46}{25}\right)

6 0
2 years ago
A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school coll
Mademuasel [1]

Amount of money collected in the 2-day fundraiser is represented by the following equations:

  • 12x + 4y = 152 .................. (i)
  • 32x + 12y = 420 .................. (ii)

where x is the cost of a chicken lunch and y is the cost of a vegetarian lunch

Multiplying (i) with 3 and subtracting it from (ii)

36x + 12y - (32x + 12y) = 456 - 420

⇒ 4x = 36

⇒ x = 9

Put value of x in (i)

⇒ 12 × 9 + 4y = 152

⇒ 108 + 4y = 152

⇒ 4y = 44

⇒ y = 11

Hence, cost of the vegetarian meal is 11.

7 0
3 years ago
PLEASE HELP MATHS PROBLEM!!!
adoni [48]

Just ask google ot will halp you better but i think its -48

4 0
3 years ago
Read 2 more answers
How do I solve radicals??
Sav [38]
Your question is too general.  You might ask instead, "how do I simplify the radical sqrt(48)?"

sqrt(48) can b e simplified by rewriting 48 as the product of the perfect square 16 and the not-a-perfect-square 3:

sqrt(48) = sqrt(16)*sqrt(3) = 4*sqrt(3)    (answer)

In #76, rearrange the terms so that you have 3sqrt(7x+4)=15.  Then divide both sides by 3, obtaining sqrt(7x+4) =5.  Squaring both sides:  7x+4=25.
Solve this linear equation for x.
4 0
3 years ago
Which angles are vertical to each other?
Nutka1998 [239]
The two vertical angles are FDE and JDI
8 0
3 years ago
Read 2 more answers
Other questions:
  • Please help due soon!!!!!
    10·1 answer
  • I got these wrong help needed plz !!
    5·2 answers
  • (a) Solve the following formula for b.<br>A= 1÷2ab please!!!<br>​
    12·2 answers
  • Solve for the zeros of the quadratic function f(x) = 9x² + 6x + 1.
    10·1 answer
  • Let x denote the IQ for an individual selected at random from a certain population. The value of x must be a whole number. Suppo
    5·1 answer
  • Herald company had sales of $135,000, sales discounts of $2,000 and sales returns of $3,200. herald company's net sales equals
    5·1 answer
  • Y=e^x how do I solve this
    6·1 answer
  • A recipe for lemon bars uses 1 sticks of
    11·1 answer
  • Urgent help……………………:::::::::::
    13·1 answer
  • Determine whether the equation below has a one solutions, no solutions, or an
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!