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
AURORKA [14]
3 years ago
15

Kayla and he children went into a restaurant and she bought $63 worth of hotdogs and tacos. Each hotdog costs $3.50 and each tac

o costs $4. She bought 3 more hotdogs than tacos. Write a system of equations that could be used to determine the number of hotdogs and the number of tacos that Kayla bought. Define the variables that you use to write the system.
Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
6 0

Answer:

Kayla bought 7 tacos and 10 hotdogs

Step-by-step explanation:

Let the number of hotdogs be x.

Let the number of tacos be y.

i) It is given that x = y + 3

ii) It is also given that 3.5x + 4y = 63, therefore 7x + 8y = 126

iii) substituting the value of x from i) in ii) we get 7(y + 3) + 8y = 126

   therefore 15y + 21 = 126

 therefore 15y = 105

  therefore y = 7

  Therfore Kayla bought 7 tacos

iv) Using the value of y from iii) in i) we x = 7 + 3 = 10

  Therefore Kayla bought 10 hotdogs

You might be interested in
0.2(x+50)-6=0.4(3x+20)
podryga [215]
Distrivute 0.2 to x and +50 and you get 0.2x+10-6  now for the other side we do the same and we get 1.2x+8 or an easier way...  Let's solve your equation step-by-step.<span><span><span>0.2<span>(<span>x+50</span>)</span></span>−6</span>=<span>0.4<span>(<span><span>3x</span>+20</span>)</span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>0.2x</span>+4</span>=<span><span>1.2x</span>+8</span></span>Step 2: Subtract 1.2x from both sides.<span><span><span><span>0.2x</span>+4</span>−<span>1.2x</span></span>=<span><span><span>1.2x</span>+8</span>−<span>1.2x</span></span></span><span><span><span>−x</span>+4</span>=8</span>Step 3: Subtract 4 from both sides.<span><span><span><span>−x</span>+4</span>−4</span>=<span>8−4                </span></span><span><span>−x</span>=<span>4  now you divide by negative x (technically it is -1x=4 so your answer is x=-4</span></span>
3 0
3 years ago
A rectangular floor measures 10 1/8 feet by 13 3/4 feet. If Emily buys 150 square feet of carpet, will she have enough carpet to
miss Akunina [59]
Yes she will have enough. Here is why.

10 1/8 x 13 3/4 = 139

Therefore the room is 139 square feet. She has 150 square feet of carpet, so she has enough.
6 0
3 years ago
Read 2 more answers
Algebra 1 Prerequisites
frozen [14]
No solution

explanation:
5 0
3 years ago
there are 30 flowers in a vase 2.5 of flowers are roses. 1/6 of the flowers are daisies. the rest of the flowers are carnations.
tekilochka [14]

Answer:

13 carnations

Step-by-step explanation:

Assuming you meant 2/5 because 2.5 would mean there are more roses in the vase than there are flowers in the vase, heres how to solve this.

Understanding

Each fraction is referring to "flowers" not "remaining flowers" and as such each time we will be comparing to the total.

2/5 of the total flowers are roses. This is written in words as for every 5 flowers two are roses, which means we will multiply 2 by how many sets of five we have in 30 flowers.

(30/5) x 2 =

(6) x 2 = 12 roses

Though with fractions its written as 30/1*2/5 which is the same as (30 x 2)/5

60/5 = 12 roses

Following this logic for every 6 flowers one is a daisy.

30/1 * 1/6 = (30 x 1)/6 = 30/6 = 5 daisies

Because the rest are carnations we want to subtract the amount of daisies and roses from the total amount of flowers to find the remaining flowers.

30 - 5 - 12 = 13 carnations

Hope this helps,

8 0
3 years ago
Is 12 c greater than less than or equal to 3 qt
zysi [14]
4 cups in a at
12 cups = 3qt
3qt =12 cups
So they are equal
8 0
3 years ago
Read 2 more answers
Other questions:
  • Which has the smallest value 11 , 0.675,1.23,0.42,1.011
    13·1 answer
  • A boat travels N 31° E for 65 miles and then N 59° W for 102 miles. Find the distance of the boat from its starting point.
    6·2 answers
  • Michelle is a server in a restaurant. On a weekend night, Michelle earned $4 an hour and $65 in tips She made a total of $93 Wri
    15·2 answers
  • The greatest common factor of two numbers is 30
    12·1 answer
  • F(x) = x2 + 10<br> What is the average rate of chan<br> hange of f over the interval [-2, -1]?
    5·1 answer
  • Which one is bigger 7/11 or 6/8
    10·2 answers
  • Suppose B is a proper subset of C,
    14·1 answer
  • If<br> R = (5+T)P/3<br> then what is p?
    8·1 answer
  • Sorry for the blurry picture anyone can help?? That’ll be nice
    8·2 answers
  • Anna found the difference between thirteen and the product of four and a number. Which expression represents this phrase, and wh
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!