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Kazeer [188]
3 years ago
8

Simplify (x+4)−(x−1)

Mathematics
2 answers:
mylen [45]3 years ago
8 0
(x+4)−(x−1) simplified = 5
Goryan [66]3 years ago
3 0

Answer:

<h2>5</h2>

Step-by-step explanation:

(x+4)−(x−1)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=x+4-\left(x-1\right)\\\\-\left(x-1\right):\quad -x+1\\=x+4-x+1\\\\\mathrm{Simplify}\:x+4-x+1:\\\quad 5\\\\

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The sum of two consecutive integers is 65. Find the two integers.
Oliga [24]
32+33=65 
60/2 is 30, so they have to be in their thirties. Then 2+3=5, therefore they must be 32 and 33
7 0
4 years ago
What is the measure of E
Verizon [17]

Answer:

The measure of angle E is:

m∠E = 80°

Step-by-step explanation:

Given

The triangle ΔDEF

It is stated that DE=EF and G is the midpoint of EF.

It means the midpoint G has converted the triangle into two equal right-angles triangles ΔDEG and ΔDFG with the right-angle at G.

Given

m∠GDE = 10°

As the right-angle triangle, ΔDEG lies at the right-angle G.

So, m∠DGE = 90°

as

m∠GDE = 10°

m∠DGE = 90°

m∠E = ?

We know that the sum of angles of a triangle is 180°.

m∠GDE + m∠DGE  + m∠E = 180°

10° + 90° + m∠E = 180°

100 + m∠E = 180°

m∠E = 180° - 100

m∠E = 80°

Therefore,

The measure of angle E is: m∠E = 80°

3 0
3 years ago
NEED HELP IN FINDING AREA
Aliun [14]

Answer:

809 km²

Step-by-step explanation:

I can split this into 3 rectangles. One is 25 by 17, another is 24 by 13, and the last one is 6 by 12. (I had gotten 13 for the second rectangle because 25 - 12 = 13.)

(25 * 17) + (24 * 13) + (6 * 12) <em>{17 is the first number after a multiple of 4 (16). As a result, 25 by 17 will end in "25." 25 by 17 is 425.}</em>

425 + (24 * 13) + (6 * 12) <em>{24 by 13 is 312.}</em>

425 + 312 + (6 * 12) <em>{6 by 12 is 72.}</em>

425 + 312 + 72 <em>{From left to right, add 425, 312, and 72 to get 809}</em>

737 + 72

809 km²

The area of this figure is 809 km².

5 0
3 years ago
The ages in years of eight boys are 14,
SashulF [63]

Answer:

B) 13

Step-by-step explanation:

Average age means to calculate mean:

Mean = (Sum of all numbers)/(Number of numbers)

Mean = (14 + 14.5 + 12 + 11.5 + 15 + 13 + 10.5 + 13.5)/8

Mean = (104)/8

Mean = 13

5 0
3 years ago
The hire purchase price of a fridge is 16400. 25% is paid as deposit, the rest is spread over 12 equally monthly instalments. If
Flauer [41]

Answer: a. 13120

b. 4100

c. 1025

d. 3280

Step-by-step explanation:

(a) find the costs price of the fridge

Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:

= (100% - 20%) × 16400

= 80% × 16400

= 0.8 × 16400

= 13120

(b) calculate the deposit

Since 25% is paid as deposit, the deposit will be:

= 25% × 16400

= 0.25 × 16400

= 4100

(c) what is the monthly installments

Monthly installments will be:

= (16400 - 4100)/12

= 12300/12

= 1025

(d) what is the differences between the cash price and the hire purchase price.

This will be:

Hire purchase price = 16400

Cash price = 13120

= 16400 - 13120

= 3280

3 0
3 years ago
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