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3 years ago

I’m having trouble with this

Mathematics

1 answer:

Reil [10]3 years ago

4 0

Answer:

11 $\frac{1}{3}$

Step-by-step explanation:

<h2>AMOUNT OF LEMONADE SOLD </h2>

on sunday the amount of gallons of lemonade sold is :

10 2/3 +3 1/2

= 14

on monday the amount of gallons of lemonade sold is :

14 - 2 2/3

= $11\frac{1}{3}$

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Suppose f(x) = 2x-1 and g (x) = x + 1/a. Which value(s) of a would make the composite functions commutative? A. 0 B. 2 C. any va

Tamiku [17]

Answer:

Step-by-step explanation:

A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is f(g(x)) = g(f(x)) = x

So, 2( $\frac{x+1}{a}$ ) - 1 = $\frac{(2x-1)+1}{a}$

If you multiply both sides by a, you get 2a( $\frac{x+1}{a}$ ) - a = (2x-1)+1

Simplify it 2a( $\frac{x+1}{a}$ ) - a = 2x

Add a to both sides 2a( $\frac{x+1}{a}$ ) = 2x +a

The two as on the left cancel out 2(x+1)=2x+a

Distribute the 2 2x+2=2x+a

Then subtract 2x from both sides 2 = a

Therefore, a = 2

Hope this helps!

8 0

3 years ago

Read 2 more answers

Tim drives at an average speed of 80 km per hour for 3 hours and 45 minutes. work out how may kilometers Tim drives.

lara31 [8.8K]

Hey there!

Tim drives 300 kilometers.

Work: 80 x 3 = 240
Then, 45 minutes is 3/4 of an hour, so if you were to do 3/4 of 80 it is 60
Now, add 240 + 60 = 300

Hope I was able to help!

6 0

3 years ago

Read 2 more answers

A 50 coat is put on sale for 35 What percent is the decrease?

IRISSAK [1]

so the coat went down from 50 to 35, namely 15.

if we take 50 to be the 100%, what is 15 off of it in percentage?

$\bf \begin{array}{ccll} aount&\%\\ \cline{1-2} 50&100\\ 15&x \end{array}\implies \cfrac{50}{15}=\cfrac{100}{x}\implies \cfrac{10}{3}=\cfrac{100}{x} \\\\\\ 10x=300\implies x=\cfrac{300}{10}\implies x=30$

4 0

3 years ago

of the 5th grade students, 15/20 went to the book fair. Of the students who went to the book fair, 12/16 bought ay least one boo

ycow [4]

Answer:

9/16 of the students

Step-by-step explanation:

first you can simplify 15/20 to 3/4

you can simplify 12/16 to 3/4

3/4*3/4=9/16

6 0

3 years ago

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A jumbo crayon is composed of a cylinder with a conical tip. The cylinder is 12 cm tall with a radius of 1.5 cm, and the cone ha

s2008m [1.1K]

Answer:

Part 1) The lateral area of the cone is $LA=2\pi\ cm^{2}$

Part 2) The lateral surface area of the cylinder is $LA=36\pi\ cm^{2}$

Part 3) The surface area of the crayon is $SA=41.50\pi\ cm^{2}$

Step-by-step explanation:

Part 1) Find the lateral area of the cone

The lateral area of the cone is equal to

$LA=\pi rl$

we have

$r=1\ cm$

$l=2\ cm$

substitute

$LA=\pi (1)(2)$

$LA=2\pi\ cm^{2}$

Part 2) Find the lateral surface area of the cylinder

The lateral area of the cylinder is equal to

$LA=2\pi rh$

we have

$r=1.5\ cm$

$h=12\ cm$

substitute

$LA=2\pi (1.5)(12)$

$LA=36\pi\ cm^{2}$

Part 3) Find the surface area of the crayon

The surface area of the crayon is equal to the lateral area of the cone, plus the lateral area of the cylinder, plus the top area of the cylinder plus the bottom base of the crayon

Find the area of the bottom base of the crayon

$A=\pi[r2^{2}-r1^{2}]$