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
Y_Kistochka [10]
3 years ago
7

Nathan's boy scout troop is making M&M and peanut trail mix for a future hike. The M&M's cost $3 per pound and the peanu

ts cost $2 per pound. The boy scouts spend $74 to make 30 pounds of trail mix. How many pounds of M&M's did they buy?
Mathematics
1 answer:
sammy [17]3 years ago
6 0
X - pounds of the M&M`s;
y - pounds of the peanuts
x + y = 30
3 x + 2 y = 74
----------------------
y = 30 - x
3 x + 2 ( 30 - x ) = 74
3 x + 60 - 2 x = 74
x = 74 - 60
x = 14
Answer:
They bought 14 pounds of M&M`s. 
You might be interested in
FLVS STUDENTS !!! For the 5.05 Two-Variable Linear Inequalities algebra 1 assignment can someone send me there answers ?!?!?!
iogann1982 [59]
Degree is the value of the highest power of the variable, and hence in this case is 8
6 0
3 years ago
Suppose a large shipment of microwave ovens contained 12% defectives. If a sample of size 474 is selected, what is the probabili
melisa1 [442]

Answer:

P(\hat p>0.14)

And using the z score given by:

z = \frac{\hat p -\mu_p}{\sigma_p}

Where:

\mu_{\hat p} = 0.12

\sigma_{\hat p}= \sqrt{\frac{0.12*(1-0.12)}{474}}= 0.0149

If we find the z score for \hat p =0.14 we got:

z = \frac{0.14-0.12}{0.0149}= 1.340

So we want to find this probability:

P(z>1.340)

And using the complement rule and the normal standard distribution and excel we got:

P(Z>1.340) = 1-P(Z

Step-by-step explanation:

For this case we have the proportion of interest given p =0.12. And we have a sample size selected n = 474

The distribution of \hat p is given by:

\hat p \sim N (p , \sqrt{\frac{p(1-p)}{n}})

We want to find this probability:

P(\hat p>0.14)

And using the z score given by:

z = \frac{\hat p -\mu_p}{\sigma_p}

Where:

\mu_{\hat p} = 0.12

\sigma_{\hat p}= \sqrt{\frac{0.12*(1-0.12)}{474}}= 0.0149

If we find the z score for \hat p =0.14 we got:

z = \frac{0.14-0.12}{0.0149}= 1.340

So we want to find this probability:

P(z>1.340)

And using the complement rule and the normal standard distribution and excel we got:

P(Z>1.340) = 1-P(Z

4 0
3 years ago
Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter
andreev551 [17]

Answer:

Step-by-step explanation:

In each case, draw the right triangle which produces the inverse trig value. That is, label the two sides as needed, and calculate the third side.

It should be clear that

tan(sin^{-1} x/4) = x/\sqrt{16-x^{2} }

sin(tan^{-1} x/4) = x/\sqrt{16+x^{2} }

sin(2α) = 2 sinα cosα

So,

1/2 sin(2sin^{-1} x/4) = (1/2)(x/4) * x/\sqrt{16-x^2} = x^{2} /(8\sqrt{16-x^2})

See what you can do with the others.

6 0
3 years ago
A group of friends share 32 cookies.
Stels [109]

Answer:

8

Step-by-step explanation:

32-jessica(8)-garret(8)=16, If John eats 8 more cookies, then there are only 8 cookies left.

8 0
3 years ago
Read below i need some help please
Anton [14]

Answer:

<u><em>8/20</em></u>

Step-by-step explanation

<em>boys left handed=3 </em>

<em>boys right handed=9 </em>

<em>girls left handed=2 </em>

<em>girls right handed=6 </em>

<em>what is the probability that a student chosen from random is a girl? give answer as a fraction please and include step by step process</em>

<em>girls left handed: 2</em>

girls right handed: 6

6+2=8

total all students 20

<em>8/20</em>

4 0
3 years ago
Other questions:
  • Carlotta needs 12 1/4 yards of ribbon for a project. She has 5 1/4 yards of ribbon on one spool and 2 1/2 yards on another spool
    9·1 answer
  • Which of the following equations is the translation 2 units left of the graph of y = |x|?
    9·1 answer
  • If r = x, y, z and r0 = x0, y0, z0 , describe the set of all points (x, y, z) such that |r − r0| = 5.
    10·2 answers
  • I NEED HELP ASAPPPPPP
    13·1 answer
  • Paul uses the function y = 7x + 30 to model the situation. What score does Paul’s model predict for 3 hours of homework?
    11·1 answer
  • 5(3-2x) PLEASE HELP! Its due today with 50 questions!
    9·1 answer
  • How many solutions 9x +2y =9 / -3x + y=2
    5·1 answer
  • HELP PLEASE I NEED THIS QUESTION
    5·1 answer
  • Select the correct answer:
    11·1 answer
  • Evaluate<br> O 15<br> O1<br> What’s the answer?????
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!