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
TiliK225 [7]
3 years ago
10

3 similar shirts and 4 similar jackets cost $360. 1 such shirt and 3 such jackets cost $220. Find the costof each shirt.

Mathematics
1 answer:
Lyrx [107]3 years ago
4 0
3s + 4j = 360
1s + 3j = 220

This one we can solve using substitution, in that
s + 3j = 220 implies s = 220 - 3j (subtract 3j from each side).

Now substitute into the first equation:

3(220 - 3j) + 4j = 360.  Solve for jackets.
660 - 9j + 4j = 360  [Distributive property]
660 - 5j = 360 [Add -9j + 4j]
Subtract 360 from each side, and add 5j to each side.
660 - 360 - 5j + 5j = 360 - 360 + 5j
300 = 5j
Divide each side by 5.
$60 = price of a jacket.

Three of these plus a shirt runs $220.
3(60) = 180
180 + s = 220
180 - 180 + s = 220 - 180 [Subtract 180 from each side]
s =   40

Now we double check.
3(40) + 4 (60) = 120 + 240 = 360.  This satisfies the first equation.
We could check the second one too, but I'm satisfied.
You might be interested in
Given the function g(x) = 4(3)x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.
LenaWriter [7]
Easy peasy


the average rate of change in section A is the slope from (1,g(1)) to (2,g(2))
the average rate of chagne in section B is the slope from (3,g(3)) to (4,g(4))



A.

section A
g(1)=4(3)^1=12
g(2)=4(3)^2=4(9)=36
slope=(36-12)/(2-1)=24/1=24

section B
g(3)=4(3)^3=4(27)=108
g(4)=4(3)^4=4(81)=324
slope=(324-108)/(4-3)=216/1=216



section A has an average rate of change of 24
section B has an average rate of change of 216
3 0
3 years ago
What is the answer to 85% of 62
Stella [2.4K]

Answer:

52.7

Step-by-step explanation:

Of means multiply

85% * 62

.85 * 62

52.7

6 0
3 years ago
Read 2 more answers
Trapezoid CDEF is congruent to trapezoid TORS. If CF and DE are parallel, which pair of sides in trapezoid TQRS MUST also be par
kondaur [170]

Answer:

D

Step-by-step explanation:

TS and QR Is your answer

6 0
3 years ago
Protease is an enzyme that breaks down proteins. What is the end product of this protein breakdown? A. amino acids B. fatty acid
mezya [45]

Answer:

A protease (also called a peptidase or ) is an enzyme an enzyme that catalyzes (increases the rate of) proteolysis, the breakdown of proteins into smaller polypeptides or single amino acids. They do this by cleaving the peptide bonproteins by hydrolysis, a reaction where water breaks bonds.

6 0
3 years ago
A 3 foot tall globe standing next to a woman cast an 8 ft shadow. if the woman cats a shadow that is 16ft long , then how tall i
My name is Ann [436]

The woman is 6 foot tall

<h3>What is proportion?</h3>

Proportion can be defined as the mathematical comparison of two numbers.

These numbers could be numbers, elements, set or people

From the information given, we have that;

  • The globe is 3 feet and casts a shadow of 8ft
  • The woman cast a shadow of 16ft and is x feet tall

So,

if the globe is 3 foot tall and casts a shadow of 8ft

Then the woman is x foot tall to cast a shadow of 16ft

cross multiply

8x = 24

Make 'x' the subject

x = 48/ 8

x = 6 foot

Thus, the woman is 6 foot tall

Learn more about proportion here:

brainly.com/question/1781657

#SPJ1

3 0
2 years ago
Other questions:
  • Carla makes $18.50 per hour. Calculate her earnings for a 30 hour week.
    10·1 answer
  • An automobile's radiator has a capacity of fifteen quarts, and it currently contains twelve quarts of a thirty percent antifreez
    6·1 answer
  • Need help on this please answers these questions
    13·2 answers
  • Which represents the solution set of the inequality 15y-9&lt;36?
    7·1 answer
  • Sally bought some candy bars for $1.25 each and some sodas for $1.49 each. If she bought a total of 38 items and spent $50.38 ho
    9·2 answers
  • Which one is it? this is so hard
    14·1 answer
  • Brainlist?????? yes i will give it
    6·2 answers
  • Please help meeeee please please c
    12·1 answer
  • Determine the equation, in both factored and standard forms, of a parabola with zeros at (-2, 0) and (5, 0) and passes through t
    5·1 answer
  • What is 2+4-52+2+5+7+4?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!