MATHEMATICS HIGH SCHOOL

Given f(x)=3/4x and f(x) = 75 solve for x

Answers

Answer 1

Answer:

Answer:

x=100

Step-by-step explanation:

75=3/4x

4/3 × 75 = x

4 × 75 = 300

300/3= 100

100(3/4) = 75

x = 100

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Jasmine has painted two of her bedroom walls. She wants to put decorative trim around the perimeter of the walls and around the door and window. The ceiling is 8 feet high. One wall is 18 feet in length, but it has a French door measuring 5 feet wide and 7 feet tall. The other wall is 15 feet in length and has a large window measuring 6 feet wide and 3 feet tall. She will not put trim at the base of the door.

Answers

Given the data below, the total length or amount of decorative trim can be calculated. It can be said that the total length of decorative trim is equal to the total perimeter of the two walls, the window, and the door, minus the base of the door.

Wall 1 = 2(8) + 2(18) = 52 ft.
Wall 2 = 2(8) + 2(15) = 46 ft.
Window = 2(3) + 2(6) = 18 ft.
Door = 2(7) + 5 = 19 ft.

Total length = 52+46+18+19 = 135 ft. of decorative trim

Answer:

Step-by-step explanation:

I really need help please!!

Answers

Using similar triangles, we see that 12/x = x/16. Multiplying by 16x, we see that x^2=12*16=192.

By the Pythagorean Theorem, $12^2+y^2=x^2$ . Since x^2=192, we know that $144+y^2=192$ . Subtracting 144 from both sides, we see that $y^2=48$ , so y= $4 √(3)$ .

A wheel has a circumference of 7 5/6 feet .How many times dies it turn in 423 feet

Answers

Circumference of the wheel is the outer part of the wheel. We know that the wheel is turning "x" times over 423 feet. What we're trying to find is how many turns occur over 423 feet.

What we got to find is the length of the wheel. Wait! They give it to us; the circumference is the length.

The wheel is traveling that length "x" amount of times for 423 feet. So, we have
7 5/6 × x = 423.

Divide to get x by itself and you get 54. The wheel spun 54 times. Any questions then leave a comment. Good luck!

The explicit formula for a sequence isan=−1+3(n−1)

What is the 55th term of the sequence?

Answers

Step-by-step explanation:

$\because \: a_n = - 1 + 3(n - 1) \n \n \therefore \: a_(55) = - 1 + 3(55 - 1) \n \n \therefore \: a_(55) = - 1 + 3 * 54 \n \n \therefore \: a_(55) = - 1 + 162\n \n \huge \blue { \boxed{\therefore \: a_(55) = 161}}\n \n$

Hence, the 55th term of the sequence is 161.

21. find the volume of the solid of revolution formed if the area enclosed between the curves y=x² and y=(x-2)² is rotated about the x-axis using integration

Answers

What you need to do is get hold of the area underneath the curve y=x² from x=1 to x=0. You then spin this area 360 degrees about the x-axis and double the result as there is symmetry between y=x² and y=(x-2)².

Use the formula:

$Volume=\int _( a )^( b ){ \pi { y }^( 2 ) } dx$

Ok, so let's solve the problem...

$V=2\int _( 0 )^( 1 ){ \pi { x }^( 4 ) } dx\n \n =2{ \left[ \frac { \pi { x }^( 4+1 ) }{ 4+1 } \right] }_( 0 )^( 1 )$

$\n \n =2{ \left[ \frac { \pi { x }^( 5 ) }{ 5 } \right] }_( 0 )^( 1 )\n \n =2\left\{ \left( \frac { \pi }{ 5 } \right) -\left( 0 \right) \right\} \n \n =\frac { 2 }{ 5 } \pi$

Answer:

$\frac { 2 }{ 5 } \pi$ units cubed.

One brother eats 3/5and the other brother eat 3/10 of the cereal how much more does the other brother eat

Answers

In this question there are information's of immense importance and that can go a long way in helping to solve the given question. It is given that one brother eats 3/5 of the cereal and the other brother eats 3/10 of the cereal. The answer that needs to be found is that the amount of cereal the other brother eats more.
The amount of cereal eaten more by the other brother = (3/5) - (3/10)
= ( 6 - 3)/ 10
= 3/10
So the other brother does not eat more, but the first brother has eaten 3/10 more than the other brother.

well 3/5 is equal to 6/10
then you would subtract 6/10-3/10=3/10

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Can anyone help pleas

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