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
MakcuM [25]
3 years ago
11

Luis was hired to make some jewelry for a special occasion. He needs to make the jewelry out of an alloy that is 54%silver and h

e requires 10 ounces. He has a large amount of 45% silver and also some that is 75% silver. How many ounces of 45% silver and 75% silver does he need?
Mathematics
1 answer:
AleksAgata [21]3 years ago
8 0

9514 1404 393

Answer:

  • 3 ounces of 75%
  • 7 ounces of 45%

Step-by-step explanation:

Let x represent the number of ounces of 75% silver needed. Then (10-x) is the number of ounces of 45% silver. The total silver required is ...

  0.75x +0.45(10 -x) = 0.54(10)

  0.30x +4.5 = 5.4

  0.30x = 0.9

  x = 0.9/0.3 = 3 . . . . . ounces of 75% silver

  10-x = 7 . . . . . ounces of 45% silver

Luis needs 7 ounces of 45% silver and 3 ounces of 75% silver.

You might be interested in
Which ordered pair is the best estimate for the solution of the system of equations? y = −1/5x + 1 y = x + 4
SVEN [57.7K]
Given system of equation:
y=-1/5x +1 Equation 1
y=x+4 Equation 2
Substitute value of y in equation 2.
x+4=-1/5x+1
Multiply both sides by 5.
5x+20=-x+5
Add x to both sides
6x+20=5
Subtract 20 from both sides
6x=-15
x=-15/6
x=-5/2
Now substitute value of x in equation 1.
y=-1/5 ( -5/2) +1
y=1/2+1
y=3/2

Solution is (x,y)= (-5/2 , 3/2)
7 0
3 years ago
PLEASE HELP which of the following identities? Check all that apply
alisha [4.7K]
\sin(x - \pi) = \sin(x) \cos(\pi) - sin(\pi) \cos(x)
via the angle sum formula of sin
since \: cos(\pi) = - 1 \: and \: sin(\pi) = 0 \: then \\ sin(x - \pi) = - sin(x) \: which \: proves \: the \: first \: choice

\cos(x + y) + cos(x - y) = 2 \cos(x) \cos(y) =\:cos(x + y) + cos(x - y)=cos(x) cos(y)-sin(x)sin(y) +cos(x)cos(y)+sin(x)sin(y)=2cos(x)cos(y)
which proves the second choice
the third choice is wrong since for x=0,y=0 it will show that 2=1 which is incorrect
for the fourth one you can do some thing similar to choice one just expand the sum formula of sin and that should be true too
so
the first , the second and the fourth are all true
5 0
3 years ago
Read 2 more answers
11.) The area of a garden is 152 square feet. If the length is 7 feet, what is the
Masja [62]

Answer:

about 22 feet (21.7)

Step-by-step explanation:

Divide 152 by 7 and you get the width

8 0
3 years ago
Read 2 more answers
Will mark brainliest
vichka [17]

Answer:

Step-by-step explanation:

Notice that each new term is closer to +1 than was the previous term.  We can conclude tat the sequence converges to 1.

5 0
3 years ago
659, 400, 211, 748, 351, 902, 400, 359<br> Mean<br> Median<br> Mode<br> Range
scoray [572]

Answer:

mean =503.75

median=400

mode=400

range=691

Step-by-step explanation:

mean= 211+351+359+400+400+659+748+902=4030/8= 503.75

range= highest number -lowest number = 902-211=691

median= 400+400 =800/2= 400

3 0
2 years ago
Other questions:
  • PLEASE ANSWER ASAP (I'll give brainly!) Thanks!
    7·1 answer
  • Given: f(x) = x + 2 and g(x) = x2 +3, find the following:
    11·1 answer
  • The following dot plot shows the number of books each student checked out from the library last month. Each dot represents a dif
    11·2 answers
  • Expand and Simplify <br> (2x + 1)(x - 2)(x + 3)
    10·1 answer
  • We have string with a length of 54cm. How many centimeters should we cut off the string so that there would be 3 decimeters left
    7·1 answer
  • Results of a survey conducted in 15 large cities within the U.S. finds that the average commute time one way to/from work is 25.
    14·1 answer
  • Can someone please help me with this?
    13·1 answer
  • Find the area of the sector in<br> terms of pi.<br> 270°<br> 12<br> Area = [?]
    5·1 answer
  • Colin paid $3.38 for frozen yogurt, which weighed 8 " # ounces. What is the unit cost (dollars per ounce)?
    9·2 answers
  • Please help it’s due today!!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!