MATHEMATICS HIGH SCHOOL

You have just purchased a 6-lb bag of apples for $4.80 at a local produce stand. How much would you expect to pay for a 10-lb bag of apples?

Answers

Answer 1

Answer:

First, find out how much money it cost per 1 lb of apples.

Divide $4.8/ 6 lbs

$0.8/ 1 lbs

Multiply amount per pound by cost

0.8 * 10 = 8

$8.00 for 10 lb bag of apples.

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Find f.

A) 7.4

B) 8.2

C) 10.5

D) 11.1

Answers

F=72

g=6

------------

$\cos { \left( F \right) } =\frac { { e }^( 2 )+{ g }^( 2 )-{ f }^( 2 ) }{ 2eg }$

Therefore:

$\cos { \left( 72 \right) } =\frac { { e }^( 2 )+{ 6 }^( 2 )-{ f }^( 2 ) }{ 2\cdot e\cdot 6 } \n \n \cos { \left( 72 \right) } =\frac { { e }^( 2 )+36-{ f }^( 2 ) }{ 12e }$

$\n \n 12e\cdot \cos { \left( 72 \right) } ={ e }^( 2 )+36-{ f }^( 2 )\n \n \therefore \quad { f }^( 2 )={ e }^( 2 )-12e\cdot \cos { \left( 72 \right) } +36\n \n \therefore \quad f=\sqrt { { e }^( 2 )-12e\cdot \cos { \left( 72 \right) +36 } } \n \n \therefore \quad f=\sqrt { e\left( e-12\cos { \left( 72 \right) } \right) +36 }$

But what is e?

E=76

G=32

g=6

And:

$\frac { e }{ \sin { \left( E \right) } } =\frac { g }{ \sin { \left( G \right) } }$

Which means that:

$\frac { e }{ \sin { \left( 76 \right) } } =\frac { 6 }{ \sin { \left( 32 \right) } } \n \n \therefore \quad e=\frac { 6\cdot \sin { \left( 76 \right) } }{ \sin { \left( 32 \right) } }$

If you take this value into account, you will discover that f is...

$f=\sqrt { \frac { 6\cdot \sin { \left( 76 \right) } }{ \sin { \left( 32 \right) } } \left( \frac { 6\cdot \sin { \left( 76 \right) } }{ \sin { \left( 32 \right) } } -12\cos { \left( 72 \right) } \right) +36 } \n \n \therefore \quad f=10.8\quad \left( 1\quad d.p \right)$

So I would have to say that the answer is approximately (c).

A hardcover book sells for 24$ at the bookmart. Ben pays 25.02 for the book. What is the sales tax rate?

Answers

The sales tax rate would be 5 percent.

Take the 5 and turn it to a decimal, 0.05.

Times that by 24. 0.05×24= 1.2

That equals out to 1.2, but since we're talking about money we have to add the zero at the end. 1.20.

Now add the 1.20 to 24.

24+1.20= 25.02.

hope this helps!

. Maria spent 1\9of the money her grandparents gave her on an adventure book. She also spent 1/3 of the money on a bag of candy. What fraction of the payment has Maria spent?

Answers

Answer:

$(4)/(9)$

Step-by-step explanation:

The fraction of the money that Maria spent on an adventure book = $(1)/(9)$

The fraction of the money that Maria spent on a bag of candy = $(1)/(3)$

Now we have to find the total fraction of the money that Maria spent.

For that we have to add those 2 fractions together.

Let us solve now.

$( 1)/(9) +(1)/(3)$

$( 1)/(9) +(1*3)/(3*3)$

$(1)/(9) +(3)/(9)$

$(4)/(9)$

There fore, the fraction of the payment has Maria spent is $(4)/(9)$

Hope this helps you :-)

If you add 1/9 and 1/3, it becomes 1/9+3/9, which equals 4/9. thus, 4/9 of the money has been spent. hope it helps!!

Newton's second law says force (f) is equal to mass (m) times acceration (a). A scientist wants to calculate the force of an object where the acceleration of gravity (g) is 9.8 m/s2. Use the function to calculate the force for an object with a mass (m) of 0.29 kilograms.

Answers

Force = mass x accerelation
= 0.29 x 9.8
= 2.842 N

Answer:

2.842 N

Step-by-step explanation:

Newton's second law is given by the equation $F=ma$

Where,

F is the force in Newtons
m is the mass in kilograms (kg)
a is acceleration given in meters per second squared

Given in the problem,

m = 0.29 kg, and

a = 9.8 meters per second squared

Substituting into the formula gives us F:

$F=ma\nF=(0.29)(9.8)\nF=2.842$ Newtons (N)

√48a^4 b^5 c^3 d simplify and keep it in radical form

Answers

I will assume the square root extends all the way across.

$√(48a^4b^5c^3)$

$√(2^4\cdot3\cdot a^4b^5c^3)$

$√((2^2)^2\cdot3\cdot(a^2)^2\cdot(b^2)^2\cdot b\cdot c^2\cdot c)$

$√((4)^2\cdot3\cdot(a^2)^2\cdot(b^2)^2\cdot b\cdot c^2\cdot c)$

$√((4\cdot a^2 \cdot b^2 \cdot c)^2\cdot3\cdot b\cdot c)$

$4\cdot a^2\cdot b^2\cdot c√(3\cdot b\cdot c)$

$\boxed{4a^2b^2c√(3bc)}$

Which expression gives the surface area of a sphere with radius r?A. r2
B. 4r3
C. 4r2
D. 4r2

Answers

The surface area of a sphere is the area of four great circles . . . 4 π r² .

Apparently, either 'C' or 'D' was supposed to be the correct choice,
but the π got lost in the pantry on the way to the printer.

Answer:

Area of sphere is given by $4\cdot \pi\cdot r^2$

Step-by-step explanation:

The surface area of sphere is given by:

$\text{Area of sphere}=4\cdot \pi\cdot r^2$

Option C and D are correct but $\pi$ is missing in the options

Option A and B are incorrect.

$\pi=3.14$ to solve the area of sphere when radius is given a constant value.

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