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
denpristay [2]
3 years ago
9

A pizza store offers three different party packages of pizzas. The packages and prices are listed below. If pizzas cost the same

individually or in a package, what is the cost of a large pizza? Small Gathering: 1 small, 1 medium, 1 large $28Family Reunion: 4 small, 2 medium, 1 large $58Huge Party: 6 small, 5 medium, 4 large $135
Mathematics
2 answers:
lianna [129]3 years ago
6 0
S+m+l=28
4s+2m+l=58
6s+5m+4l=135

Eliminate the variable l from the first 2 equations

s+m+l=28
-4s-2m-l=-58
-3s-m=-30

Elminiate the variable l from the last 2 equations

6s+5m+4l=135
-16s-8m-4l=-232
-10s-3m=-97

Now solve for s and m using the 2 equations without l

-3s-m=-30
-10s-3m=-97

9s+3m=90
-10s-3m=-97
-s=-7
s=7

Then plug in s into one of the equations without l

-3(7)-m=-30
-21-m=-30
-m=-9
m=9

Now plus in s and m into one of the original 3 equations

(7)+(9)+l=28
16+l=28
l=12

Final answer:
Small=$7
Medium=$9
Large=$12

I know it only asks for large but I wanted to show you how to find them all for future reference. :)
Rashid [163]3 years ago
6 0
The Small=$7
Medium=$9
Large=$12
You might be interested in
Available is 23 cm taller than Olivia is half the height of Luca. If lucas is 1.77m tall, how tall are available and Olivia? Exp
Elden [556K]

Answer:

available is 111.5cm tall and Olivia is 88.5cm

Step-by-step explanation:

ok so Olivia is half the height of Luca which means the height of Luca divided by 2

177÷2=88.5

so Olivia is 88.5cm tall

we know that Available is 23cm taller than Olivia which means

the height Available= the height of Olivia+ 23cm

=88.5+23

=111.5

so Available is 111.5cm tall

5 0
2 years ago
Read 2 more answers
Let X denote the length of human pregnancies from conception to birth, where X has a normal distribution with mean of 264 days a
Kaylis [27]

Answer:

Step-by-step explanation:

Hello!

X: length of human pregnancies from conception to birth.

X~N(μ;σ²)

μ= 264 day

σ= 16 day

If the variable of interest has a normal distribution, it's the sample mean, that it is also a variable on its own, has a normal distribution with parameters:

X[bar] ~N(μ;σ²/n)

When calculating a probability of a value of "X" happening it corresponds to use the standard normal: Z= (X[bar]-μ)/σ

When calculating the probability of the sample mean taking a given value, the variance is divided by the sample size. The standard normal distribution to use is Z= (X[bar]-μ)/(σ/√n)

a. You need to calculate the probability that the sample mean will be less than 260 for a random sample of 15 women.

P(X[bar]<260)= P(Z<(260-264)/(16/√15))= P(Z<-0.97)= 0.16602

b. P(X[bar]>b)= 0.05

You need to find the value of X[bar] that has above it 5% of the distribution and 95% below.

P(X[bar]≤b)= 0.95

P(Z≤(b-μ)/(σ/√n))= 0.95

The value of Z that accumulates 0.95 of probability is Z= 1.648

Now we reverse the standardization to reach the value of pregnancy length:

1.648= (b-264)/(16/√15)

1.648*(16/√15)= b-264

b= [1.648*(16/√15)]+264

b= 270.81 days

c. Now the sample taken is of 7 women and you need to calculate the probability of the sample mean of the length of pregnancy lies between 1800 and 1900 days.

Symbolically:

P(1800≤X[bar]≤1900) = P(X[bar]≤1900) - P(X[bar]≤1800)

P(Z≤(1900-264)/(16/√7)) - P(Z≤(1800-264)/(16/√7))

P(Z≤270.53) - P(Z≤253.99)= 1 - 1 = 0

d. P(X[bar]>270)= 0.1151

P(Z>(270-264)/(16/√n))= 0.1151

P(Z≤(270-264)/(16/√n))= 1 - 0.1151

P(Z≤6/(16/√n))= 0.8849

With the information of the cumulated probability you can reach the value of Z and clear the sample size needed:

P(Z≤1.200)= 0.8849

Z= \frac{X[bar]-Mu}{Sigma/\sqrt{n} }

Z*(Sigma/\sqrt{n} )= (X[bar]-Mu)

(Sigma/\sqrt{n} )= \frac{(X[bar]-Mu)}{Z}

Sigma= \frac{(X[bar]-Mu)}{Z}*\sqrt{n}

Sigma*(\frac{Z}{(X[bar]-Mu)})= \sqrt{n}

n = (Sigma*(\frac{Z}{(X[bar]-Mu)}))^2

n = (16*(\frac{1.2}{(270-264)}))^2

n= 10.24 ≅ 11 pregnant women.

I hope it helps!

6 0
3 years ago
Construction This section of a concrete skateboard ramp has the shape of a triangular prism. Find the volume
irina [24]

Answer:

volume = 73.3ft³

value = $194.4

Step-by-step explanation:

volume of prism = (½bh)l

=(½×4×4)×9.2

=73.6ft³

value of concrete

1ft³ : $4.00

73 .6ft³ : X

X : (73.6ft³ × $4.00) ÷ 1ft³

X : $294.4

7 0
2 years ago
The diameter of a cartwheel is 2.1 m. Find the distance traveled when it completes 100 revolutions.
Alenkasestr [34]

Answer:

Circumference of wheel=πd

Circumference of wheel =22*2.1/7

Circumference of wheel =6.6 Mrs

It coveres 6.6mtrs in one round

Then in 100 rounds it will take 6.6*100=660mtrs

I think that it

5 0
3 years ago
Why was proffessor clabberhead utterbunk holding up a piece of bread
Gnesinka [82]
He's a silly goober and he likes to joke around
6 0
3 years ago
Other questions:
  • What's 10x-12y+8+12y equal?
    13·2 answers
  • Somebody please help me with 10+9+(9-7)*5
    14·1 answer
  • The cost of 5 squash and 2 zucchini is 1.32. Three squash and 1 zucchini cost $0.75. Find the cost of each vegetable
    8·1 answer
  • Evaluate the piecewise function at the given values of the independent variable.
    13·1 answer
  • PLEASE HELPPP
    13·1 answer
  • Hey this is jeinnell harrison i just wanna say hey. Bro....
    15·2 answers
  • Which of the following is equivalent to 2 x (4 x 3)? *
    14·1 answer
  • PLEASE HURRY VERY IMPORTANT
    11·1 answer
  • 3. A BMW convertible travels at a speed of 50 miles per hour (mph) for 2.5 hours. What
    5·1 answer
  • What is the value of A?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!