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
mezya [45]
3 years ago
14

What’s the correct answer

Mathematics
1 answer:
ale4655 [162]3 years ago
7 0

45x=11\qquad\text{divide both sides by 45}\\\\\boxed{x=\dfrac{11}{45}}=0.2\overline{4}\\\\Answer:\ \boxed{x\approx0.24}

You might be interested in
Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the
scoray [572]

9514 1404 393

Answer:

  • 7 forks
  • 20 spoons

Step-by-step explanation:

Let x and y represent the numbers of forks and spoons made, respectively.

The cost of materials is ...

  1.70x + 1.30y = 37.90

The revenue from sales is ...

  5.60x + 5.40y = 147.20

You can solve these by any of your favorite methods. A graph is attached. It shows the solution is (x, y) = (7, 20).

They made 7 forks and 20 spoons.

_____

<em>Additional working out</em>

The equation coefficients are not "nice" multiples of each other, so elimination  and substitution will require multiplying both equations by some numbers. If we're going to that trouble, we may as well use Cramer's Rule or a variation of the "cross multiplication method". The latter is relatively straightforward and can be easy to remember. It tells you the solution to ...

  ax +by +c = 0

  dx +ey +g = 0

is ...

  1/(ae-db) = x/(bg-ey) = y/(cd-ga)

Here, that becomes ...

  1/(1.70·5.40-5.60·1.30) = x/(1.30·(-147.20)-5.40·(-37.90))

  = y/(-37.90·5.60-(-147.20·1.70))

  1/1.9 = x/13.3 = y/38

  x = 13.3/1.9 = 7 . . . number of forks

  y = 38/1.9 = 20 . . . number of spoons

__

The above solution formula may be more easily remembered in terms of the cross-multiplication pattern that gives the method its name. When the coefficients are written in two rows of four, with the last being a repeat of the first:

  • a b c a
  • d e g d

each of the three denominators (of 1, x, and y) is the difference of products in adjacent columns, formed in an X fashion: ae-db, bg-ec, cd-ga. Note that the equations are written in "general" form, which is similar to "standard" form, but with all of the non-zero terms on the left of the equal sign. (This has the effect of changing the sign of the constants: 1.7x+1.3y=37.9 ⇒ 1.7x+1.3y-37.9=0)

8 0
2 years ago
Which function is increasing and has a vertical asymptote at x = 5?
marusya05 [52]
C. f(x)= ln(x-5) hope that helps
3 0
3 years ago
Can someone please help convert these so they have the same denominator??
ratelena [41]

The LCM of the denominators is 120. In other words, the denominators can multiply to 120.

3 * 40 = 120

40 * 2 = 80

Tigers: P = 80/120

24 * 5 = 120

24 * 4 = 96

Redbirds: P = 96/120

8 * 15 = 120

3 * 15 = 45

Bulldogs P = 45/120

60 * 2 = 120

60 * 1 = 60

Titans P = 60/120

Answer

Tigers: P = 80/120

Redbirds: P = 96/120

Bulldogs: P = 45/120

Titans: P = 60/120

5 0
2 years ago
How many significant digits is in 70.00?
julia-pushkina [17]
Going by what I was taught in chemistry, there would only be 1.
3 0
3 years ago
Hakim invests $700 in a bank that pays 5% simple interest annually. After one year he uses the money in his account to buy a com
ludmilkaskok [199]

Answer:

  $111

Step-by-step explanation:

The bank balance is ...

  $700 × (1 + 0.05) = $735

The cost of the computer is ...

  $750 × (1 -0.20) × (1 +0.04) = $624

The remaining bank balance after paying for the computer is ...

  $735 -624 = $111

_____

When you add a percentage, you effectively multiply by the sum of 1 and that percentage. The same is true if the amount "added" is negative (as for a discounted price).

  (original amount) + (percentage)×(original amount)

Use the distributive property to factor out the original amount:

 = (original amount)×(1 + percentage)

6 0
2 years ago
Other questions:
  • Balls numbered 1 through 10 are in a bag. Someone draws a ball, records the number, the puts it back. Another person does the sa
    9·1 answer
  • How many 0.2 liter glasses of water are contained in a 3.6 liter pitcher
    8·2 answers
  • Antonio moved boxes that weighed 26.5 pounds 34.2 pounds and 45.8 pounds. which is closest to number antonio moved all togehter
    5·1 answer
  • Help meh I will give brainiest!! Answer as much as you know.
    10·1 answer
  • What is 78/126 in simplest form
    5·1 answer
  • WILL GIVE BRANLIEST TO BEST ANSWER. 25 POINTS!
    15·1 answer
  • A big - screen tv that previously sold for $2,400 has been marked down to $2,040. What is the percent of decrease ?
    6·1 answer
  • How to add 5/12 + 1/4
    15·1 answer
  • si en la caja solo cabe media docena de platos, ¿ cuantas cajas serían necesarias para empacar la cantidad inicial de platos ?​
    10·1 answer
  • 2х + Зу – 1<br> Which is the number of terms in this expression
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!