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
enot [183]
2 years ago
11

If a machine that prints designs on T-shirts prints 500 shirts in 3 hours, how many hours will it take to print designs on 1300

shirts?
Mathematics
1 answer:
nataly862011 [7]2 years ago
8 0

Answer:

It will take 7.8 hours to print designs on 1300 shirts

Step-by-step explanation:

We will use the ratio method to solve this question

∵ A machine prints designs on T-shirts

∵ It prints 500 shirts in 3 hours

∵ x is the number of hours to print 1300 shirts

→ By using the ratio method

→  shirts  :  hours

→   500   :  3

→  1300   :  x

→ By using cross multiplication

∵ 500 × x = 1300 × 3

∴ 500x = 3900

→ Divide both sides by 500

∴ x = 7.8

∴ It will take 7.8 hours to print designs on 1300 shirts

You might be interested in
What is the answer to this question? Write an expression in simplest form for the perimeter of a right triangle with leg lengths
blagie [28]

Answer:

Step-by-step explanation:

Since the length of both legs of the right angle triangle are given, we would determine the hypotenuse, h by applying Pythagoras theorem which is expressed as

Hypotenuse² = one leg² + other leg²

Therefore,

h² = (3a)³ + (4a)³

h² = 27a³ + 64a³

h² = 91a³

Taking square root of both sides,

h = √91a³

The formula for determining the perimeter of a triangle is expressed as

Perimeter = a + b + c

a, b and c are the side length of the triangle. Therefore, the expression for the perimeter of the right angle triangle is

√91a³ + (3a)³ + (4a)³

= √91a³ + 91a³

7 0
2 years ago
Find the solution set of the following quadratic equations using the quadratic formula.
oksian1 [2.3K]

Answer:

<h3>                1)  x_1=\dfrac{7+\sqrt{13}}2\,,\quad x_2=\dfrac{7-\sqrt{13}}2</h3><h3>                2)   x_1=-\dfrac13\,,\quad x_2=-3    </h3>

Step-by-step explanation:

<h3>1)</h3>

x^2 - 7x + 9 = 0\quad\implies\quad a=1\,,\ b = -7\,,\ c=9\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot9}}{2\cdot1}=\dfrac{7\pm\sqrt{49-36}}2\\\\x_1=\dfrac{7+\sqrt{13}}2\,,\quad x_2=\dfrac{7-\sqrt{13}}2

<h3>2)</h3><h3>3x^2 + 10x=-3\\\\3x^2+10x+3=0\quad\implies\quad a=3\,,\ b =10\,,\ c=3\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-10\pm\sqrt{10^2-4\cdot3\cdot3}}{2\cdot3}= \dfrac{-10\pm\sqrt{100-36}}6\\\\x_1=\dfrac{-10+\sqrt{64}}6=\dfrac{-10+8}6=-\dfrac13\,,\qquad x_2=\dfrac{-10-8}6=-3</h3>
7 0
3 years ago
Round up to the nearest hundredth
Shalnov [3]
x^2+3x-5=0\\\\a=1;\ b=3;\ c=-5\\\\b^2-4ac=3^2-4\cdot1\cdot(-5)=9+20=29\\\\x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a};\ x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\x_1=\dfrac{-3-\sqrt{29}}{2\cdot1}=\dfrac{-3-\sqrt{29}}{2}\approx-4.19\\\\x_2=\dfrac{-3+\sqrt{29}}{2\cdot1}=\dfrac{-3+\sqrt{29}}{2}\approx1.19
5 0
3 years ago
What is the value of x in the equation 2(x-3)+9=3(x+1)+x?
Sergio039 [100]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
G(x)=4x^2+9x ; find g(3x)
Yuliya22 [10]

Answer:

12xto the 3 + 27x squared

4 0
2 years ago
Other questions:
  • HELP ME OUT PLEASE!!!!!!!!!
    5·1 answer
  • Kiri has red and white roses in groups of 8. She has x groups of red roses and y groups of white roses. Which expression shows t
    13·1 answer
  • HURRY I'LL PICK A BRAINLIEST PERSON!!!!
    13·2 answers
  • 41.2 x 1.5. Then explain where the decimal point should go and why
    14·2 answers
  • Which set of side lengths can form a triangle?
    6·2 answers
  • 8=y+3 solve for the variable
    9·2 answers
  • A jacket is on sale for 15% off the original price of $ 68.00. What is the sale price? Show your work!
    10·1 answer
  • A Labrador retriever club has 130 members: 65 black Labs, 44 golden Labs, and 21 chocolate Labs. Pablo is going to perform a chi
    11·1 answer
  • Find the solution set of 5x&lt;36 when x ∈ n
    6·2 answers
  • Pls help me it’s due today
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!