polly the carrot has learned to say "polly wants a cracker." if she says it every five minutes for two hours and gets a cracker to eat each time, how many crackers will polly eat?

Answer:

A pencil costs $0.50

A binder costs $3.00

A notebook costs $2.50

Step-by-step explanation:

Represent Notebook with N, Pencil with P and Binder with B

For Anna:.

2N + P + 3B = 14.50

For Josh:.

N + 4P + B = 7.50

For Alex:

3N + 2P + 2B = 14.50

Required

Solve for N, P and B

Make N the subject in the second equation

N + 4P + B = 7.50

N = 7.50 - 4P - B

Substitute 7.50 - 4P - B for N in the first equation

2N + P + 3B = 14.50

2(7.50 - 4P - B) + P + 3B = 14.50

Open Bracket

15.0 - 8P - 2B + P + 3B = 14.50

Collect like terms

3B - 2B + P - 8P = 14.50 - 15.0

B - 7P = -0.50

B = 7P - 0.50

Substitute 7.50 - 4P - B for N in the third equation

3N + 2P + 2B = 14.50

3(7.50 - 4P - B) + 2P + 2B = 14.50

22.50 - 12P - 3B + 2P + 2B = 14.50

Collect Like Terms

2P -12P + 2B - 3B = 14.50 - 22.50

-10P - B = -8

Multiply through by -1

10P + B = 8

Recall that B = 7P - 0.50

10P + B = 8 becomes

10P + 7P - 0.50 = 8

17P - 0.50 = 8

17P = 8 + 0.50

17P = 8.50

Divide through by 17

P = 8.50/17

P = 0.50

This implies that a pencil costs $0.50

Substitute 0.50 for P in B = 7P - 0.50

B = 7 * 0.50 - 0.50

B = 3.50 - 0.50

B = 3.00

This implies that a binder costs $3.00

Substitute 3.00 for B and 0.50 for P in N = 7.50 - 4P - B

N = 7.50 - 4 * 0.50 - 3.00

N = 7.50 - 2.00 - 3.00

B = 2.50

This implies that a notebook costs $2.50

Answer:

This graph does not represent a function. Two points where it fails the vertical line test are (0, 0) and (0, 1).

Step-by-step explanation:

This is the exact answer edumentum gave me. be careful, i got this wrong.

Answer:

The correct option is b.

Step-by-step explanation:

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu\\[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

As the sample size is large, i.e. n = 100 > 30, the Central Limit Theorem can be used to approximate the sampling distribution of sample mean number of phone calls your business receives daily.

Compute the probability that the average number of phone calls your business receives daily is more than 21 as follows:

[tex]P(\bar X>21)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{21-20.6}{4.4/\sqrt{100}})\\\\=P(Z>0.91)\\\\=1-P(Z<0.91)\\\\=1-0.81859\\\\=0.18141\\\\\approx 0.1814[/tex]

Thus, the correct option is b.

Answer:

y=-5/3x+5/3

Step-by-step explanation:

Answer:

That the graph of (f+g)(x) is a parent graph of f(x) and g(x)

Answer:

A. The leading coefficients of f(x) and g(x) are opposite

Step-by-step explanation:

Answer:

it would be 2/3............

Answer:

=4:6

4

6

=2

3

2:3

Step-by-step explanation:

Hope this helps

Pls mark me the brainliest

Answer: 16 and a half weeks so maybe put 16

that's the answer because she will save $4 per week 4 x 16 is 86 to 87

that's why i say and a half because it not exactly 87 its 86 so 16 and a half

Answer:

Area of a circle =  π·r²

64 =  π·r²

r²= 64/ π

r²= 20.37

r= 4.51 ft

OPTION A

Answer:

The answer is 8 guys not 4 or 4.5. It literally says on the question that its 64Pi not just 64

Step-by-step explanation:

Answer:

The slope of the problem is 4.

Answer:

A: m<BOD = 95°

O: m<AOC = 75°

R: m<AOD = 113°

T: m<GUH = 61°

M: m<GUI = 92°

E: m<EUF = 37°

F: m<EUI = 160°

K: m<MAN = 30°

I: m<LAM = 40°

S: m<KAM = 80°

H: m<JAN = 140°

N: m<KAN = 110°

✅I STINK THEREFORE I HAM

Step-by-step explanation:

A: m<BOD = 57° + 38° = 95°

O: m<AOC = 18° + 57° = 75°

R: m<AOD = 18° + 57° + 38° = 113°

T: m<FUG = 31°, since, FUG ≅ HUI, therefore, m<HUI = 31°

m<FUI = 123°

m<GUH = m<FUI - (m<FUG + m<HUI)

m<GUH = 123° - (31° + 31°)

m<GUH = 61°

M: m<GUI = m<GUH + HUI

m<GUI = 61° + 31°

m<GUI = 92°

E: m<EUH = 129° (given)

m<EUF = m<EUH - (m<FUG + m<GUH)

m<EUF = 129° - (31° + 61°)

m<EUF = 37°

F: m<EUI = m<EUF + m<FUG + m<GUH + m<HUI

m<EUI = 37° + 31° + 61° + 31°

m<EUI = 160°

K: since <JAK ≅ <MAN, and m<JAK is given as 30°, therefore,

m<MAN = 30°

I: m<JAM = 110° (given), m<JAK = 30° (given)

Since <KAL ≅ <LAM, therefore,

m<LAM = ½(m<JAM - m<JAK)

m<LAM = ½(110° - 30°)

m<LAM = 40°

S: m<KAM = m<KAL + m<LAM

Since <KAL ≅ <LAM, therefore,

m<KAM = 40° + 40°

m<KAM = 80°

H: m<JAN = m<JAK + m<KAL + m<LAM + m<MAN

m<JAN = 30° + 40° + 40° + 30°

m<JAN = 140°

N: m<KAN = m<KAL + m<LAM + m<MAN

m<KAN = 40° + 40° + 30

m<KAN = 110°

Place the letters on the appropriate lines given to match the angle measure we've cakcukated, to figure out the joke.

✅We would have:

I STINK THEREFORE I HAM

Answer:

B. reflection

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

sorry if im wrong

Answer:

96.2

Step-by-step explanation:

well, it rounds up to 96, so the answer would be 96, but the actual answer is 96.2

Answer:

19

Step-by-step explanation:

While it's really easy to just divide, I'm sure your teacher wants an equation so:

1615=85x                                                      here x= skittle boxes

1615/85=x            In this line you can use divide to cancel out the multiplication, giving you

x=19

Answer:

it would be 8 meters in 10 seconds,Because it travels 6 meters for 3 seconds stops for 5 seconds. So then it would be 6 meters in 8 seconds then it travels 2 meters in two seconds. Which would essentially be 8 meters in 10 seconds.

Answer:

$160

Step-by-step explanation:

2/5 x 400 = 160

Answer:

3 31/33

Step-by-step explanation:

26/3x5/11= 130/33=

Answer:

3.9393

Step-by-step explanation:

You can make them into an improper fraction and make the denominators the same and divide. so for 8 2/3, the improper fraction would be 26/3. 11/5 is already an improper fraction. Put it into the calculator as (26/3) / ( 11/5) and it will give you 3.9393

Answer:

1/8 is a terminatating fraction.

Step-by-step explanation:

1/8 = 12.5

Answer:Its A,C,E or 1,3,5

Step-by-step explanation:

Got it right in Ed

Answer:

A C E

Step-by-step explanation:

sorry what is the question I can't read it

Answer:

Step-by-step explanation:

∠2 = ∠5

3x - 20 = x + 20

3x - x = 20 + 20

2x = 40

x = 40/2

x = 20

Answer:

m<4= 60

m<1=60

m<3=30

Step-by-step explanation:

I'd like to explain but I would be very difficult to do with out being in person

Answer:

m1 = 60°

m2 = 90°

m3 = 30°

m4 = 60°

Step-by-step explanation:

m<5 + m<4 = 180° ( on a straight line)

120° + m<4 = 180°

m<4 = 60°

m<2 = m<3 + m<4

90° = m<3 + 60° ( on a straight line)

m<3 = 90° - 60°

m<3 = 30°

m<1 + m<2 + m<3 = 180°

m<1 = 180 - 90 -30

m<1 = 60°

Answer:

A bank teller has 47 $20 and $5 bills.

The value of the bills is $490.

Number of $20 bills --> x

Number of $5 bills --> y

x + y = 47 --> x = 47-y

20x + 5y = 490 --> 20x = 490-5y

so

20(47-y) = 490 -5y

940-20y = 490-5y

940-490 = -5y+20y

15y = 450

y= 30

so

x = 47-30

x = 17

IN TOTAL --> 17 $20 bills and 30 $5 bills.

Answer:

x = 17 $20 bills

y = 30 $5 bills

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define variables

x = # of $20 bills

y = # of $5 bills

Step 2: Set up systems of equations

[tex]\left \{ {{x+y=47} \atop {20x+5y=490}} \right.[/tex]

Step 3: Solve for x

By solving for x, we now know that we have 17 $20 bills.

Step 4: Solve for y

Now we know that we have 30 $5 bills.

Answer:

no

Step-by-step explanation:

it's CASSANDRA business so she solve it herself

im not sure this one is confusing

Answer:

[tex]\mathbf{\dfrac{dV}{dt} = \pi \bigg ( \dfrac{{t}+2}{4\sqrt{t}}\bigg)}[/tex]

Step-by-step explanation:

Given that:

The radius of a right cylinder is given by √(t+6) and its height is 1/6√t;

The volume of a given circular cylinder is:

[tex]V = \pi r^2 h[/tex]

[tex]V = \pi(t+6) \bigg ( \dfrac{\sqrt{t}}{6}\bigg)[/tex]

[tex]V = \pi \bigg( \dfrac{t^{3/2}}{6}+ \sqrt{t} \bigg)[/tex]

[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3 \sqrt{t}}{12}+ \dfrac{1}{2\sqrt{t}} \bigg)[/tex]

[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3t}{12 \sqrt{t}}+ \dfrac{6}{12\sqrt{t}} \bigg)[/tex]

[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3 {t}+6}{12\sqrt{t}}\bigg)[/tex]

[tex]\mathbf{\dfrac{dV}{dt} = \pi \bigg ( \dfrac{{t}+2}{4\sqrt{t}}\bigg)}[/tex]

Answer:

The answer is "[tex]y= -x+7[/tex]"

Step-by-step explanation:

If [tex]\bold{\theta = 135^{\circ}}[/tex]

point: [tex]p=(2,5)[/tex]

Formula:

[tex]\to m= \tan \theta \\\\\to (y-y_1)= m(x-x_1)[/tex]

[tex]\to m= \tan \ 135^{\circ} = -1\\\\\to x_1= 2\\\\\to y_1=5[/tex]

Put the value in the above formula:

[tex]\to y- 5 = -1(x-2)\\\\\to y- 5 = -x+2\\\\\to x+y = 5+2\\\\\to x+y=7[/tex]

[tex]\to y= -x+7[/tex]

Answer:

The probability that none of the houses will develop a leak is 0.6543.

Step-by-step explanation:

Let X denote the number of houses in an urban area that develop a leak.

The probability that a house in an urban area will develop a leak is, p = 0.02.

A random sample of n = 21 houses are selected.

Every house is independent of developing a leak.

Thus, the random variable X follows a binomial distribution with parameters n = 21 and p = 0.02.

Compute the probability that none of the houses will develop a leak as follows:

[tex]P(X=0)={21\choose 0}(0.02)^{0}(1-0.02)^{21-0}\\\\=1\times1\times 0.654256\\\\\approx 0.6543[/tex]

Thus, the probability that none of the houses will develop a leak is 0.6543.

Answer:

The correct answer is C