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2 years ago

What is the largest number of consecutive integers whose sum is 2003?

1 answer:

4 0

$2003 \div 2$ =1001.5

Go .5 below and .5 above this answer to get your consecutive integers.

Therefore the answer is 1001 and 1002.

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8 mi. 133 yd. 2 ft. – 5 mi. 107 yd. 2 ft.

Murrr4er [49]

8 mi. 133 yd. 2 ft. - 5mi. 107 yd. 2 ft.

= (8 mi. - 5 mi.) + (133 yd. - 107 yd) + (2 ft. - 2ft.)

= 3 mi. +26 yd.

8 0

2 years ago

The 70th term of the arithmetic sequence the 70th term of the arithmetic sequence 18,34,50,...

Sedbober [7]

Answer:1122

Step-by-step explanation:

Hve to work out the general equation first by calculating the common difference-16.

3 0

2 years ago

Three out of every five cookies on the cookie treat our oatmeal raisin cookies if there are 45 cookies on the tray predict how m

snow_lady [41]

Answer:

45 divided by 3 equal 15

Step-by-step explanation:

45 Divided by 3 equal 15

4 0

2 years ago

<img src="https://tex.z-dn.net/?f=2x%5E2%2B5x%2B3%3D0" id="TexFormula1" title="2x^2+5x+3=0" alt="2x^2+5x+3=0" align="absmiddle"

melamori03 [73]

Answer:

$x=-\frac{3}{2},-1$

Step-by-step explanation:

$2x^2+5x+3=0$

Split the second term (5x) into two terms. Multiply the coefficient of the first term (2) by the constant term (3):

$2*3=6$

Find which two numbers add up to 5 and multiply into 6:

$3+2=5\\3*2=6\\3,2$

Split 5x as the sum of 3x and 2x:

$2x^2+3x+2x+3$

Now factor out a common term for the first 2 terms:

$2x^2+3x\\x(2x+3)$

And do the same for the last 2 terms:

$2x+3\\1(2x+3)$

Re-insert:

$x(2x+3)+1(2x+3)=0$

Factor out the common term 2x+3 and insert the values in front of the parentheses (x and 1):

$(2x+3)(x+1)=0$

Separate the parentheses and equal them to 0. Solve for x:

$2x+3=0\\2x+3-3=0-3\\2x=-3\\\\\frac{2x}{2}=\frac{-3}{2}\\\\ x=-\frac{3}{2}$

and

$x+1=0\\x+1-1=0-1\\x=-1$

5 0

2 years ago

In ΔLMN, n = 510 cm, l = 820 cm and ∠M=20°. Find ∠L, to the nearest degree

Dafna11 [192]

The angular measure L is : 47°

<h3>What are angles?</h3>

Angles are formed when two lines meet.

Analysis:

Firstly, we calculate for m using cosine rule.

$m^{2}$ = $510^{2}$ + $820^{2}$ -2(510)(820) cos 20

$m^{2}$ = 260100 + 672400 -83600(0.9396)

$m^{2}$ = 146618.56

m = $\sqrt{146618.56}$ = 382.9cm

using sine rule to find ∠L

382.9/sin20 = 820/sinL

sinL = 820sin20/382.9

sinL = 820(0.342)/382.9

sinL = 0.732

L = sin inverse of 0.732 = 47°

In conclusion, ∠L is 47°

Learn more about sine and cosine rule: brainly.com/question/4372174

#SPJ1

8 0

1 year ago