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Vlad [161]
3 years ago
5

For questions 4–5, simplify the expression.

Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0
1. \mathrm{Group\:like\:terms} \ \textgreater \  24h-10h+3d+8d

\mathrm{Add\:similar\:elements:}\:24h-10h=14h \ \textgreater \  14h+3d+8d

\mathrm{Add\:similar\:elements:}\:3d+8d=11d \ \textgreater \  14h+11d

2. \mathrm{Group\:like\:terms} \ \textgreater \  12s+4s-2+4

\mathrm{Add\:similar\:elements:}\:12s+4s=16s \ \textgreater \  16s-2+4

\mathrm{Add/Subtract\:the\:numbers:}\:-2+4=2 \ \textgreater \  16s+2

Hope this helps!
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A triangle has the following side lengths: x - 2, x, and 3x + 1. Another triangle has the following side lengths: 2x - 5, x + 4,
notka56 [123]

we know that

Perimeter of a triangle is equal to

P=a+b+c

where

a,b and c are the length sides of the triangle

<u>Find the perimeter of the triangles</u>

<u>Triangle N 1</u>

P=(x-2)+(x)+(3x+1)-------> P=5x-1

<u>Triangle N 2</u>

P=(2x-5)+(x+4)+(6x-7)------> P=9x-8

equate the perimeters

5x-1=9x-8--------> 9x-5x=-1+8-------> 4x=7

x=7/4------> x=1.75

therefore

the answer is

x=1.75

5 0
3 years ago
Find the probability of throwing 9 with two dice.
ololo11 [35]
Total number of possible outcomes of throwing two dice = 6×6 = 36
Number of outcomes of getting 9 i.e, (3+6),(4+5),(5+4),(6+3) = 4

P = \frac{Number \: of \: favourable \: outcomes}{ Total \: number \: of \: possible \: outcomes}

P (throwing \: 9) = \frac{4}{36} = \frac{1}{9}
6 0
3 years ago
If we get the 100 from number 1 each year for ten years and invest each payment in an account that earns 8% how much will be the
blsea [12.9K]

Answer:

$1,448.66

Step-by-step explanation:

The future value of an annuity with yearly deposits 'P' at an interest rate of 'r' invested for 'n' years is determined by:

FV = P[\frac{(1+r)^n-1}{r}]

For P = $100, r = 0.08 and n = 10 years:

FV = 100[\frac{(1+0.08)^{10}-1}{0.08}]\\FV=\$1,448.66

The amount at the end of the ten years is $1,448.66

4 0
3 years ago
Which inequality is equivalent to the statement below?
Goryan [66]

Answer:

A

Step-by-step explanation:

The opposite of a number is simply the number multiplied by -1 so the opposite of n is -n. "Between -3 and 0" tells us that the inequality is -3 < -n < 0.

4 0
3 years ago
I'm having trouble figuring out how I could go about this. Can someone work it out then explain so that I know how to do this ne
skad [1K]

Answer:

RT-ST=QS-ST, because subtracting the same quantity from two lines that have been stated to be equal.

Therefore RS=TQ

Angle R=Angle Q, because it is an isosceles triangle

Triangle AR

S is congruent to ATQ.

AT=AS

Because TAS is isosceles, angles 5 and 6 are equal.

Therefore, angles 4 and 7 are equal, because they are supplementary angles of the same angle.

And angles 1 and 3 are equal, because the other two angles in the triangle are equal.

The triangles RAT and QAS are congruent with SAS.

Step-by-step explanation: Can u gimme brain plz!

6 0
3 years ago
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