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
Alona [7]
3 years ago
7

Hector and Francis a spent total of $47.50 at the mall. If Hector spent 50% more than Francis, how much did Francis spend at the

mall?
Mathematics
2 answers:
Zigmanuir [339]3 years ago
5 0
Francis spent $19 and Hector spent $28.50
Vitek1552 [10]3 years ago
4 0

Answer:

$19.

Step-by-step explanation:

Let H be the amount spent by Hector and F be the amount spent by Francis.

We have been given that Hector and Francis a spent total of $47.50 at the mall. We can represent this information in an equation as:

H+F=47.50...(1)

We are also told that Hector spent 50% more than Francis. We can represent this information in an equation as:

H=F+(\frac{50}{100}*F)...(2)

H=F+0.50F...(2)

H=1.50F...(2)    

We will use substitution method to solve system of linear equations.

Upon substituting equation (2) in equation (1) we will get,

1.50F+F=47.50

2.50F=47.50

Let us divide both sides of our equation by 2.50.

\frac{2.50F}{2.50}=\frac{47.50}{2.50}

F=19

Therefore, Francis spent $19 at the mall.

You might be interested in
Joe's Painting charges $100 plus $20 per hour to paint the exterior of your home. Steve's Painting charges $120 plus $15 per hou
Tanzania [10]

Joe's Painting: 20x + 100 = y

Steve's Painting: 15x + 120 = y

x = hours worked

y = total income

We can find when the two equations intersect by making them equal to each other. That means we put an equal sign in the middle. So, it would look something like this:

20x + 100 = 15x + 120

First, we have to move the 100 by subtracting it from both sides.

20x = 15x + 120 - (100)

20x = 15x + 20

Then, we need to move the 15x by subtracting it from both sides.

20 - (15x) = 20

5x = 20

Lastly, we need to divide 5 from both sides.

5x = 20/5

x = 4

Therefore, Joe and Steve would have to work for 4 hours in order for their models to be equal to each other.

5 0
3 years ago
For each expression, write an equivalent expression that only uses addition a. 20 - 9 + 8 -7 b. 4x - 7y - 5z + 6 c. -3x - 8y - 4
Genrish500 [490]

Answer:

a. =11+ 1

b. =4x+ (-7y) + (-5z) +6

c. (-3x) + (-8y) +(-4)+(-8/7z)

Step-by-step explanation:

a. 20 - 9 + 8 -7

=11+ 1  ( this is obtained by solving)

b. 4x - 7y - 5z + 6

=4x+ (-7y) + (-5z) +6

We multiply the negative sign with the positive sign to get a minus so the answer remains the same and the expression is written as an addition sum.

c. -3x - 8y - 4 - 8/7z

-[ 3x+8y+4+8/7z]

or

(-3x) + (-8y) +(-4) +(-8/7z)

The minus sign is taken as common leaving the expression with the plus only.

It can be written in the same manner as above, adding the negative terms so that the expression is written as a sum.

3 0
2 years ago
10 subtract 5 equals what
solong [7]
Five (5) because you have 10 fingers 5 fingers get cut off how many do you have left.
3 0
3 years ago
Read 2 more answers
Solve the equation n + 32=60​
Juli2301 [7.4K]
N would equal 28 since 60-32 is 28
6 0
3 years ago
Read 2 more answers
One angle of a triangle has a measure of 36°. The measure of the third angle is 28° less than 3 times the measure of the second
Alex_Xolod [135]

Answer:

  1. Define your variable and write your equation:  36 + b + (3b-28) = 180°.
  2. measure of the second angle: 43°.
  3. measure of the third angle: 101°

Step-by-step explanation:

a = 36

c = 3b - 28

a + b + c = 180°

a = measure of the first angle

b = measure of the second angle

c = measure of the third angle

then:

1)  36 + b + (3b-28) = 180   ⇒ )Define your variable. Write your equation and solve)

b + 3b + 36 - 28 = 180

4b + 8 = 180

4b = 180 - 8

4b = 172

b = 172/4

2)   b = 43°        ⇒   measure of the second angle

c = 3b - 28

c = 3*43 - 28

c = 129 - 28

3) c = 101°      ⇒   measure of the third angle

Check:

36° + 43° + 101° = 180°

8 0
3 years ago
Other questions:
  • Write 3 ratios equal to 4/36 ?
    5·2 answers
  • Can you please help and show work
    10·1 answer
  • A water company charges $20 for service and $2.75 for every thousand gallons of water used in month. Construct a linear model to
    13·1 answer
  • Does anyone know what is 1/2 of 1/4
    8·1 answer
  • The graphs below have the same shape. What is the equation of the blue<br> graph?
    8·2 answers
  • If Z is the centroid of WXY, WR=87 SY=39 and YT=48 find each missing measure
    8·1 answer
  • What expression is equivalent to -9r + 4r
    15·1 answer
  • A person has ​$28,000 invested in stock A and stock B. Stock A currently sells for ​$50 a share and stock B sells for ​$60 a sha
    12·1 answer
  • Ava has a jewelry box in the shape of a pentagonal prism.
    14·2 answers
  • How to do divide<br><img src="https://tex.z-dn.net/?f=3%20%2B%20255255" id="TexFormula1" title="3 + 255255" alt="3 + 255255" ali
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!