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Lunna [17]
3 years ago
13

Simplify the algebraic expressions. A) 16x+3-14x+15 B)-1/6(24x-60)+2x

Mathematics
1 answer:
tresset_1 [31]3 years ago
8 0

Answer:

A) 2x + 18

B) -2x + 10

Step-by-step explanation:

Hope this helps! Have a great day!

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Consider the figure below. Abraham cut regular pentagon ABCDE into quadrilateral BEGC. Which of the following statements is true
Genrish500 [490]

Let 'n' be the number of side of a regular polygon each angle are equal and sum of  each angle equal to (n-2)×180. \\∴For a regular pentagon have five equal side, n=5\\ ∴ sum of each angle = (n-2)×180=3×180 = 540. and ecah angle = 540÷5=108°. Therefore ∠BCG = 108° and ∠ABC =108° \\ Here BE is one of the diagonal of regular pentagon ABCDE. BE divide ∠ABC in 1:2 ratio \\ Therefore ∠ABE : ∠CBE = 36: 72\\∴ ∠GCB + ∠CBE = 108° +72°=180°

5 0
3 years ago
Read 2 more answers
Raj studied for4/7of an hour,while ram studied for 5/8 of an hour.who studied for longer time
Ksivusya [100]

Answer:

Ram studied for longer time

Step-by-step explanation:

An hour = 60 minutes

Raj studied for 4/7 of an hour

= 4/7 of 60 minutes

= 4/7 × 60

= (4×60)/7

= 240/7

= 24.29 minutes

ram studied for 5/8 of an hour

= 5/8 of 60 minutes

= 5/8 × 60

= (5×60)/8

= 300/8

= 37.5 minutes

who studied for longer time?

Ram - Raj

= 37.5 - 24.29

= 13.21 minutes

Ram studied for longer time

Ram studied 13.21 minutes longer than Raj

5 0
3 years ago
if the height of the cylinder with a radius of 12 cm and a height of 20 cm has the same volume as a cone with a radius of 8 cm.
Marrrta [24]

Answer:

\large\boxed{H=135\ cm}

Step-by-step explanation:

The formula of a volume of a cylinder:

V=\pi r^2H

r - radius

H - height

We have the radius r = 12cm and the height H = 20cm. Substitute:

V=\pi(12^2)(20)=\pi(144)(20)=2880\pi\ cm^3

The formula of a volume of a cone:

V=\dfrac{1}{3}\pi r^2H

r - radius

H - height

We have the radius r = 8cm and the volume V = 2880πcm³. Substitute:

\dfrac{1}{3}\pi(8^2)H=2880\pi\qquad\text{divide both sides by}\ \pi\\\\\dfrac{1}{3}(64)H=2880\qquad\text{multiply both sides by 3}\\\\64H=8640\qquad\text{divide both sides by 64}\\\\H=135\ cm

7 0
4 years ago
Giving brainliest!!
slamgirl [31]

Answer:

Gah! Inverses!

Step-by-step explanation:

This is a pretty simple concept, just switch the x and f(x) values!

If you don't understand, look at how I solve it!

f(x)=\frac{1}{3} -\frac{1}{21} x

Switching the positions of the x and f(x) values...

x=\frac{1}{3} -\frac{1}{21} f(x)^{-1}\\

Note: That f(x)^-1 is the proper notation for inverse functions.

x-\frac{1}{3} =-\frac{1}{21} f(x)^{-1} \\f(x)^{-1}=-21x+7

There you go!

Hope this helps, and don't procrastinate!

7 0
3 years ago
Use properties to find 4 times 23 times 25
erastova [34]
The answer to the problem is 2300
8 0
3 years ago
Read 2 more answers
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