Suppose that your mom gives you $20 to go to the school supplies store. there is a 6% sales tax on supplies. you need to buy the following items:Pencils = $1.29
notebook binder = $5.99
paper = $3.49
high-lighter pens = $2.35

a. How much will the supplies cost?
b. how much change will you receive?

Answers

Answer 1

Answer: The answers are -
a - $13.90
b - $6.10

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Toni Mahoney is using Biscuit Betty's recipe that requires 5 1/3 pounds of flour to make biscuits for her brunch. Suddenly, Toni learns that 4 times as many people are coming to her bunch than originally planned. How much flour will Toni need to make her biscuits? Explain how tou got your answer.

Answers

21 1/3 pounds of flour. We know it takes 5 1/3 pounds of flour for one brunch. So, if there are 4 times as many people, we have to multiply 5 1/3 by 4. After you do 5 1/3 times 4 you will get 21 1/3 pounds of flour.

Michael just drank a cup of coffee to help him stay awake. The coffee had 110 milligrams of caffeine in it. If his body processes 5% of the caffeine every hour, how much will be left in 8 hours? A.74 B.72 C.56 D.73

Answers

Answer:C

Step-by-step explanation:

Answer C.56!

%5 of 110 is 5.5, 5.5 • 8= 54, 110-54= 56!

11. What is the height of the cylinder? The figure is not drawn to scale. (1 point)V = 282.7 in
Please help ASAP

Answers

Answer:

The height of the cylinder is 3.6 inch.

Step-by-step explanation:

In the attached figure,

Volume of the cylinder is 282.7 square inches

Radius of the cylinder is 5 inches.

It is required to find the height of the cylinder.

The volume of the cylinder is given by the below formula as :

$V=\pi r^2 h$

h is height of cylinder

$h=(V)/(\pi r^2)\n\nh=(282.7)/(3.14* (5)^2)\n\nh=3.6\ \text{inch}$

So, the height of the cylinder is 3.6 inch.

The approximate height of the cylinder is 3.6 inches

How to determine the height?

The given parameters are:

Radius, r = 5 in

Volume, V = 282.7 cubic in

The volume is calculated using:

V = πr²h

So, we have:

3.14 * 5² * h = 282.7

Evaluate

78.5 * h = 282.7

Divide both sides by 78.5

h = 3.6

Hence, the approximate height of the cylinder is 3.6 inches

Answers

$14b+3a=91\ \ \ \Rightarrow\ \ \ \ 14b=-3a+91\ /:14\n \n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ b=- (3)/(14)a +6 (1)/(2) \n \n \n14b+3a=91\ \ \ \Rightarrow\ \ \ \ 3a=-14b+91\ /:3\n \n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ a=-4 (2)/(3)b +30 (1)/(3)$

Write the equation of the line passing through (7,-4) and (-1,2) in slope intecept form

Answers

Answer: y = $(-3x)/(4)$ + $(5)/(4)$

Step-by-step explanation:

Using the formula for finding equation of a line :

$(y_(2) - y_(1) )/(x_(2)- x_(1))$ = $(y - y_(1) )/(x - x_(1) )$

From the question:

X1 = 7

X2 = -1

Y1 = -4

Y2 = 2

Substituting into the formula , we have

$(2 - (-4))/(-1 - 7)$ = $(y - (-4))/(x - 7)$

⇒ $(6)/(-8)$ = $(y+4)/(x - 7)$

$(-3)/(4)$ = $(y+4)/(x - 7)$

4( y + 4) = -3 ( x - 7)

4y + 16 = -3x + 21

4y = - 3x + 21 - 16

4y = - 3x + 5

y = -3x/4 + 5/4

Answer:

y=-3/4x+5/4

Step-by-step explanation:

Daloris Swan 3 length of a swimming pool in a total of 16.32 seconds. The third length took her 5.89 seconds. How Long did it take Daloris to swimming the first 2 length of the pool?