MATHEMATICS HIGH SCHOOL

You go to a harvest festival and pick apples.equation: y = 0.75x + 5

b. The cost of going to the festival is the sum of the cost of picking x pounds of apples, , and the cost of admission, $

Answers

Answer 1

Answer:

Answer:

$0.75 and $5

Step-by-step explanation:

The $5 is the cost of admission and the $0.75 is how much you are charged per pound of apples picked.

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What is 1,345/99 rounded to the nearest integer?
Which is equivalent to 243 ^2/5 a. 3 b.6 c.9 d.1w

What's greater?
-8 or -1/20

Answers

you can say : -1/20 = -0.05 so -8<-0.05 so -1/20 is greater because its negative :))
i hope this is helpful
have a nice day

Your brother is 1313 your age. Your sister is 6 years older than your brother. Your sister is 10 years old. Write and solve an equation to find your age aa.

Answers

There seems to be a typo. You wrote 1313, but I'm assuming you meant to say the fraction 1/3. If this assumption is correct, then continue with the rest of the solution. If the assumption is not correct, then ignore what I wrote below and please provide clarification of what the "1313" should represent. Thank you.

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

B = your brother's age

S = your sister's age

Y = your age

All of these ages are current present day ages.

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

"your brother is 1/3 your age" so B = (1/3)Y or B = Y/3.

"Your sister is 6 years older than your brother" so S = B+6

"Your sister is 10 years old" so S = 10.

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

S = B+6

B+6 = S

B+6 = 10 ... plug in S = 10

B+6-6 = 10-6 ... subtract 6 from both sides

B = 4

Your brother is 4 years old.

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

B = Y/3

Y/3 = B

Y/3 = 4 .... plug in B = 4

3(Y/3) = 3*4 ... multiply both sides by 3

Y = 12

Answer: Your age is 12 years old.

note: This answer hinges on assumption that the "1313" should be "1/3".

What is the radius of a cylinder whose surface area is 152, and height is 10

Answers

≈ 2.01

Step-by-step explanation:

r = 1/2 V h^2+2 A/pi - h/2 = 1/2 x V 10^2+2x152/pi - 10/2 ≈ 2.01367

What is the value of g(-4)?

Answers

The value of g(-4) is 1. The correct option is C

What is a Piece-Wise Function?

A function that has a different sub-function for different intervals of the domain is called Piece-Wise Function

The functions for the different interval is

g(x)= $\rm \sqrt[3]{x+5}$ , x ≤ -4

= -x² +11 , x > -4

The value of g(-4) will be determined by using g(x)= $\rm \sqrt[3]{x+5}$

Substituting the value x = -4

g(x) = $\rm \sqrt[3]{-4+5}$

g(x) = ∛1

g(x) = 1

Therefore, The value of g(-4) is 1. The correct option is C

To know more about piece-wise function

brainly.com/question/27973487

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Two bicyclists leave the center of town at the same time. One heads due north and the other heads due west. Later, the two cyclists are exactly 25 mi apart. The cyclist headed north has traveled 5 mi farther than the cyclist going west.How far has the cyclist going west traveled?

Answers

Answer:

Distance traveled by bicyclist traveling west = 15 miles

Step-by-step explanation:

These two cyclists travel at angle 90°

Relative displacement can be calculated using Pythagoras theorem.

Let d be the distance traveled by bicyclist traveling west

Distance traveled by bicyclist traveling north = d + 5

$25^2=d^2+(d+5)^2\n\nd^2+d^2+10d+25=625\n\n2d^2+5d-600=0\n\nd^2+5d-300=0\n\nd=(-5\pm √(5^2-4* 1* (-300)))/(2* 1)\n\nd=(-5\pm √(25+1200))/(2)\n\nd=(-5\pm √(1225))/(2)\n\nd=(-5\pm 35)/(2)\n\nd=15miles\texttt{ or }d=-20miles$

Negative displacement is not possible.

Hence d = 15 miles

Distance traveled by bicyclist traveling west = d = 15 miles

This situation is represented in annex.
From Pythagorean theorem you've got equation:
$x^2+(x+5)^2=25 \n \n \hbox{From formula} \ \ \ (a+b)^2 = a^2+2ab+b^2: \n \n x^2+x^2+10x+25=25 \n 2x^2+10x=0 \n \n \hbox{Factor out} \ \ 2x: \n 2x(x+5)=0 \n \n \hbox{So you've got:} \n \n x_1=0 \n x_2=-5$

There isn't any solutions where x>0, so this situation is IMPOSSIBLE.

Did you write correctly this question....?

Five sixth minus one third

Answers

$(5)/(6)-(1)/(3)\n\nfind\ the\ LCD\ (Least\ Common\ Denominator)\n\n6=2*3\ therefore\ LCD=6\n\n(1)/(3)=(1\cdot2)/(3\cdot2)=(2)/(6)\n\n(5)/(6)-(1)/(3)=(5)/(6)-(2)/(6)=(5-2)/(6)=(3)/(6)=(3:3)/(6:3)=\boxed{(1)/(2)}$