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
murzikaleks [220]
2 years ago
5

Sam baby-sat for x hours and earned $75. If he baby-sits for y more hours at the same rate, his total earnings will be $100. Whi

ch of the following equations represents this situation? A. 75 + x y = 100 B. 75 + ( 75 x y ) = 100 C. 75 + ( 75 x ) y = 100 D. 75 + ( 75 y ) x = 100
Mathematics
1 answer:
77julia77 [94]2 years ago
5 0

The situation can be modeled with the linear equation:

$75 + y*($75/x) = $100

<h3>Which of the following equations represents this situation? </h3>

We know that if she wors for x hours, she earns $75.

This means that the amount that she gets per hour is:

R = $75/x.

Now, if she works y more hours, then she gets another $25 (for a total of $100).

We can write this as a linear equation:

y*($75/x) = $25

We can rewrite this as:

$75 + y*($75/x) = $100

So the correct option is B.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

You might be interested in
Find the value of 21 + 4(32 - 5).<br> 37<br> 25<br> 100
Andrews [41]

Answer:

the answer will be 129 i think

6 0
3 years ago
Read 2 more answers
A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the
dem82 [27]

Answer: 320°

Step-by-step explanation:

This is a circle geometry.

The arc length of the circle is given to be 8πcm and the radius is 4.5cm.

Now the length of an arc of a circle is

Arc length = πr0°/180° or 2πr0°/360°

To find the angle 0° subtend at the center we equate the arc length with the formula and solve for 0°.Now we go

πr0°/180 = 8π, convert to a simple linear equal and solve for the angle.

πr0° = 8π × 180

0°. = 8π × 180

-----------

π × r

= 8 × 180. 8 × 180

-------- or ---------

9/2. 4.5

= 8 × 180 × 2

------------

9

= 8 × 20 × 2

= 320°

or 8 × 180/4.5

= 1440/4.5

= 320°

4 0
3 years ago
5x + 1 over 2y2
Oxana [17]

Step-by-step explanation:

So for this question just substitute the value and work out. I thought it it to the power of 2 as I can't tell from the question.

4 0
2 years ago
I NEED HELP What is 3/10 of $80
borishaifa [10]

Answer:All you need to do is divide 80 by 10, and then multiply 10 by 3

3 0
3 years ago
Write an expression for the 12th partial sum of the series 3/2+7/3+19/6+... using summation notation
lapo4ka [179]

Answer:

S_{12}=\sum_{i=1}^{12} [\frac{3}{2}+(i-1)\times \frac{5}{6}]

S_{12}=73

Step-by-step explanation:

First\ term\ of\ the\ series(a_1)=\frac{3}{2}\\\\Second\ term\ of\ the\ series(a_2)=\frac{7}{3}\\\\Third\ term\ of\ the\ series(a_3)=\frac{19}{6}\\\\a_2-a_1=\frac{7}{3}-\frac{3}{2}=\frac{5}{6}\\\\a_3-a_2=\frac{19}{6}-\frac{7}{3}=\frac{5}{6}\\\\Hence\ it\ is\ an\ Arithmetic\ Series\ with\ first\ term=\frac{3}{2}\ and\ constant\ difference=\frac{5}{6}

a_1=\frac{3}{2}+0\times \frac{5}{6}\\\\a_2=\frac{3}{2}+1\times \frac{5}{6}\\\\a_3=\frac{3}{2}+2\times \frac{5}{6}\\\\.\\.\\.\\a_n=\frac{3}{2}+(n-1)\times \frac{5}{6}\\\\S_n=a_1+a_2+a_3+......+a_n\\\\S_n=(\frac{3}{2}+0\times \frac{5}{6})+(\frac{3}{2}+1\times \frac{5}{6})+(\frac{3}{2}+2\times \frac{5}{6})+....+(\frac{3}{2}+[n-1]\times \frac{5}{6})\\\\S_n=\sum_{i=1}^n [\frac{3}{2}+(i-1)\times \frac{5}{6}]\\\\S_n=(\frac{3}{2}+\frac{3}{2}+\frac{3}{2}+...n\ times)+\frac{5}{6}(1+2+3+4+...+(n-1))\\\\

S_n=\frac{3}{2}\times n+\frac{5}{6}\times \frac{n(n-1)}{2}\\\\

S_{12}=\sum_{i=1}^{12} [\frac{3}{2}+(i-1)\times \frac{5}{6}]

S_{12}=\frac{3}{2}\times 12+\frac{5}{6}\times \frac{(12)(12-1)}{2}\\\\S_{12}=18+55\\\\S_{12}=73

5 0
3 years ago
Other questions:
  • 30,000 is how many times as much as 30?
    10·1 answer
  • Show the work for all 3 and find X
    13·1 answer
  • you earn $420 per week. You pay social security taxes of 7.65% federal taxes of 22%, and state taxes of 5.95%. What is your take
    7·1 answer
  • What is go math grade 8 lesson 9.1 page 279 answers?
    15·1 answer
  • Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality ____ &lt; √17
    10·2 answers
  • What shod be in the box 3/10 × (box)=1​
    11·1 answer
  • Jill has 64 ounces of lemonade. Each day, her brother drinks 16 ounces. Then at the end of each day Jill adds 25% of the remaini
    15·2 answers
  • Can someone help me I don't know what n represents
    12·1 answer
  • How long has Brainly been around?
    8·2 answers
  • The slope in the simplest form
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!