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
alexira [117]
3 years ago
7

Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them earn up to $400 by payi

ng them $25 when one of them mows the lawn and $10 for each hour that one of them babysits their younger brother. They will have to do a combination of both chores in order to earn the money. Select the equation that represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.
Mathematics
1 answer:
LenKa [72]3 years ago
3 0

Answer:

25m + 10b = 400

Step-by-step explanation:

Total amount that can be earned = $ 400

Amount earned on mowing a lawn = $ 25

Amount earned per hour on babysitting = $10

Amount earned for mowing one lawn is $ 25, so amount earned for mowing m lawns will be $ 25m

Amount earned for one hour of babysitting is $ 10, so amount earned for babysitting for b hours will be $ 10b

Total amount earned = Amount earned from mowing m lawns + Amount earned from babysitting for b hours

Using the values from above, we can set up the equation as:

400 = 25m + 10b

or

25m + 10b = 400

This equation represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.

You might be interested in
Can someone please do this for me?
katrin [286]

Answer:

x= 105

y= 40

Step-by-step explanation:

3y=4y-40 because they are alternate interior

Solve for y.

y=40

4y-40=x+15 because they are vertical angles.

Substitute 40 in for y.

4(40)-40=x+15

Solve.

x=105

5 0
2 years ago
Read 2 more answers
Please explain with working!!! Find the set of values of x that satisfy the inequality 9x^2-15x<6
Oksi-84 [34.3K]

Answer:

-1/3

Step-by-step explanation:

When solving a quadratic inequality, first solve it normally like you would for a normal quadratic equation. We have:

9x^2-15x

Ignore the less than sign and replace it with an equal sign and solve the quadratic for its zeros:

9x^2-15x=6

Subtract 6 from both sides:

9x^2-15x-6=0

Divide everything by 3:

3x^2-5x-2=0

Factor. Find two numbers that equal (3)(-2)=-6 that add up to -5.

-6 and 1 works. Thus:

3x^2-6x+x-2=0\\3x(x-2)+1(x-2)=0\\(3x+1)(x-2)=0

Find the x using the Zero Product Property:

3x+1=0 \text{ or }x-2=0\\x=-1/3\text{ or }x=2

Now, we need to replace the equal signs with symbols again. To do so, we need to test which symbol to place. Let's do the first zero first.

So, the first zero is:

x=-1/3

Assume that the correct symbol is >. Thus,

x>-1/3

Now, pick any number that is greater than -1/3. I'll pick 0 since it's the easiest. Now, plug 0 back into the very original inequality. If it works, then the sign is correct, if it doesn't, then simply use the opposite one. Therefore:

9x^2-15x

0 is indeed less than six, so our first correct solution is:

x>-1/3

For the second one, do the same thing. We have:

x=2

Assume that the correct symbol is <. Thus:

x

Again, pick any number less than 2. I'm going to use 0. Plug 0 back into the original equation

9x^2-15x

Again, this is correct. Therefore, x<2 is also the correct inequality.

So together, we have:

x>-1/3 \text{ and } x

Together, we can write them as:

-1/3

(Note that we don't need to worry about the "or equal to" part since the original inequality didn't have it.)

6 0
3 years ago
F(x) = x2 + 2x - 2<br> Show graph
Alexandra [31]

Answer:

Step-by-step explanation:

f(x) = x2 + 2x - 2  should be rewritten using " ^ " to indicate exponentiation:

f(x) = x^2 + 2x - 2.

We find a couple of key points and use the fact that this parabola is symmetric about the line

          -2

x = ----------- = -1.  When x = -1, y = f(-1) = (-1)^2 + 2(-1) - 2, or 1 - 2 -2, or -3.

        2(1)

Thus the vertex is at (-1, -3).  The y-intercept is found by letting x = 0:  y = -2.  The axis of symmetry is x = -1.

Graph x = -1 and then reflect this y-intercept (0, -2) about the line x = -1, obtaining (-2, -2).  If necessary, find 1 or two more points (such as the x-intercepts).

To find the roots (x-intercepts), set f(x) = x^2 + 2x - 2 = 0 and solve for x.

Completing the square, we obtain x^2 + 2x + 1 - 2 = + 1, or (x + 1)^2 = 3.

Taking the square root of both sides yields x + 1 = ±√3.  One of the two roots is x = 1.732 - 1, or 0.732, so one of the two x-intercepts is (0.732, 0).

6 0
3 years ago
Area of circle with diameter of 1 m?
Elena-2011 [213]

Answer:

A = 0.785m²

B = 31400cm²

C = 7850cm²

D = 785,000mm²

Step-by-step explanation:

To solve this question, we'll have to find the area of a circle which is

Area of a circle = πr²

1. The diameter of the circle = 1m

Area of a circle = πr²

r = radius of the circle

π = 3.14

Radius = diameter / 2

Radius = 1 / 2 = 0.5m

Area = 3.14 × (0.5)²

Area = 3.14 × 0.25

Area = 0.785m²

2. Radius = 100cm

Area of a circle = πr²

Area = 3.14 × (100)²

Area = 3.14 × 10000

Area = 31400cm²

3. Diameter = 100cm

Area = πr²

Radius = diameter / 2

Radius = 100 / 2

Radius = 50cm

Area = πr²

Area = 3.14 × (50)²

Area = 3.14 × 2500

Area = 7850cm²

4. Radius = 500mm

Area = πr²

Area = 3.14 × (500)²

Area = 3.14 × 250,000

Area = 785,000mm²

7 0
3 years ago
Read 2 more answers
The graph shows the relationship between the distance a car travels and the time the car travels. Whats the speed of the car??
Cloud [144]
150 miles/hour
Hope this helps!
Vote me brainliest!
7 0
3 years ago
Other questions:
  • The perimeter of the rectangle below is 132 units. Find the length of side CD
    15·2 answers
  • Jayne uses long division to convert a rational number ab to a decimal. Which of the following statements cannot be true?
    5·1 answer
  • Pleas help ASAP please please . Thank you so much
    7·2 answers
  • Please answer this question
    13·1 answer
  • 20 POINTS. PLZ HELP!!!!!
    9·1 answer
  • How to factorise 8a3-b3​
    6·2 answers
  • I will give u a brainlist if u answer this question. Write an equation for the following proportional relationships 1/2.5
    10·2 answers
  • Manuel makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.
    8·2 answers
  • 5(2x + 6) = 4x + 13 + 6x + 17
    13·1 answer
  • If y varies inversely as x, and y=16 when x=4, find y when x=10
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!