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
Elina [12.6K]
3 years ago
8

Manuel bought a shirt and a sweater for a total price of $65. The price of the sweater was $5 more than twice the price of the s

hirt. What was the price of the shirt?
$30

$20

$13

$45
Mathematics
1 answer:
Annette [7]3 years ago
3 0

Answer:

$20

Step-by-step explanation:

Since we are talking about the unknown cost of a shirt AND a sweater, we are dealing with 2 unknowns.  However, we can only have one unknown in a single equation or we cannot solve it.  The cost of the sweater is based on the cost of the shirt, so the shirt will be our "main" unknown.

Cost of the shirt:  x

Since the sweater is $5 more than (this is addition) twice (that is 2 times) the cost of the shirt, the expression for the sweater is 2x + 5

The cost of both is (equals) 65.

x + 2x + 5 = 65 and

3x + 5 = 65 and

3x = 60 so

x = 20

The shirt cost $20 so the sweater had to cost 65 - 20 = 45

You might be interested in
Find the volume of the composite figure. Explain your thought, explain how your arrived at your answer. SHOW YOUR WORK FOR FULL
Bond [772]

At the bottom of the composite figure we have half a sphere, of radius 10 in.

The volume of this hemisphere would be half the volume of the full sphere, or:

(1/2)(4/3)π(10 in)^3, or (2/3)π(1000 in^3), or (2000/3)π in^3.

On top is the cone of radius 10 and slant height 15 in. To find the volume of this cone-shaped solid, we'll need the height of the cone. This can be found using the Pyth. Thm. as follows:

15^2 = 10^2 + h^2, where h is the height of the cone.

225 = 100 + h^2, so that h= √125, or 5√5. The height of the cone is 5√5 in.

Then the volume of the cone is V = (1/3)(base)(height)

= (1/3)(π)(100 in^2)(5√5 in)

= 500√5/3(π) in^3


The total volume of the composite solid is then

(2000/3)(π in^3) + ( 500√5/3(π) ) in^3), or

(π/3)(4+√5) in^3. This comes out to 6.53 in^3, to the nearest hundredth.

7 0
3 years ago
Callie bought 2 gallons of juice for $2.58 per gallon. She sold the juice in 1-cup servings for $0.75 each. Each serving is 1/16
konstantin123 [22]
2 gallons * $2.58 per gallon = $5.16 expenses (total spent)
2 gallons * 16 cups = 32 total servings
32 cups * $0.75 per cup = $24 gross revenue (total income)
$24 - $5.16 = $19.84 net revenue (profit)
8 0
3 years ago
Read 2 more answers
Order the following numbers from least to greatest.<br>5/4<br>1 8/25<br>1.3​
Lubov Fominskaja [6]

Answer:

18/25,  5/4, 1.3

Step-by-step explanation:

What you need to do is to divide each fraction so that you can change to a number.

18÷25=0.72

5÷4=1.25

7 0
2 years ago
This is a double question. Part 1: 5(2x - 4) = 30. Solve for x Part 2: 5x + 3 - x + 2 = 41. Solve for x. I will mark Brainliest
Ainat [17]

Answer:

see below

Step-by-step explanation:

Part 1: 5(2x - 4) = 30.

Distribute

10x -20 = 30

Add 20 to each side

10x-20+20 =30+20

10x = 50

Divide by 10

10x/10 = 50/10

x =5

Part 2: 5x + 3 - x + 2 = 41

Combine like terms

4x +5 = 41

Subtract 5 from each side

4x+5-5 = 41-5

4x = 36

Divide by 4

4x/4 = 36/4

x = 9

3 0
3 years ago
Read 2 more answers
PLEASE HELP FAST!!!
Rus_ich [418]

\\ \sf\longmapsto 3s-5+2s+25=170

\\ \sf\longmapsto 5s+20=170

\\ \sf\longmapsto 5s=170-20

\\ \sf\longmapsto 5s=150

\\ \sf\longmapsto s=30

  • m<GHZ=3(30)-5=90-5=85
  • m<ZHI=2(30)+25=60+25=85
4 0
2 years ago
Other questions:
  • a collection of 27 coins consist of 20-cent and $2 coins, and has a value of $23.40. find the number of coins of each denominati
    14·1 answer
  • Find the balance of a bank account with an initial investment or principal of $1,500 that earns 3.2% interest compounded quarter
    8·1 answer
  • A. Find a slope-intercept equation for line A.<br> b. Find a point-slope for line B.
    11·1 answer
  • Five cats have a total mass of 15 kilograms if each cat has the same mass what is the mass of one cat
    11·2 answers
  • Which dimensions cannot create a triangle? a three sides measuring 6 cm, 8 cm, and 10 cm b three angles measuring 40 degrees, 70
    12·2 answers
  • In the triangle below,
    14·1 answer
  • H(x) = 18.75 - 4.53x What is the value of h(−11)?
    12·1 answer
  • Please help i need to finish it by todayyy​
    12·1 answer
  • Please solve correctly
    11·1 answer
  • In order to join a yoga club you have to pay an annual fee and a fee per class. At Yoga For Us the annual fee is $30 and $5 per
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!