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3 years ago

HELP!! 4. (01.02 MC) Which number line shows the solution to -3- (-1)? (1 point) o

Mathematics

1 answer:

statuscvo [17]3 years ago

6 0

Answer:

The third choice gives the correct sequence.

Step-by-step explanation:

The Number Line

To represent numbers in the line, we use arrows starting from the mark for zero up to the given number. If the number is positive, the arrow points to the right and if the number is negative, the arrow points to the left.

The number -3 must be represented as an arrow to the left side of length 3. Subtracting something from the number should also point to the left side, but if the number is negative, then the new arrow points to the right side.

To subtract -1, the arrow should point to the right starting from -3

The third choice gives the correct sequence.

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The foot of a ladder is 2m away from a vertical wall. The height of the top of the ladder is half a meter less than the length o

goblinko [34]

So use pythagorean theorem
a^2+b^2=c^2
a=base
b=height
c=legnth of ladder

a=2
b=c-0.5
subsitute
2^2+(c-0.5)^2=c^2
4+c^2-c+0.25=c^2
add like terms
c^2-c+4.25=c^2
subtract c^2 from both sides
-c+4.25=0
add c to both sides
4.25=c

the legnth of the ladder is 4.25 m

8 0

3 years ago

If Mark reads 18 pages less per day than originally planned, he will need 5 extra days to finish the book. If he reads 24 pages

JulijaS [17]

Answer:

Total number of pages is 540.

Step-by-step explanation:

Let mark read x be he number of pages per day and d be the number of days to finish the book.

Total number of pages = xd

Mark reads 18 pages less per day than originally planned, he will need 5 extra days to finish the book.

$(x-18)(d+5)=xd$

$xd+5x-18d-90=xd$

$5x-18d=90$ .... (1)

He reads 24 pages less per day, he will need 8 extra days to finish.

$(x-24)(d+8)=xd$

$xd+8x-24d-192=xd$

$8x-24d=192$

$x-3d=24$ ... (2)

Subtract 5 times of equation (2) from equation (1).

$5x-18d-5(x-3d)=90-5(24)$

$5x-18d-5x+15d=90-120$

$-3d=-30$

$d=10$

Substitute d=10 in equation (1).

$5x-18(10)=90$

$5x-180=90$

$5x=90+180$

$5x=270$

Divide both sides by 5.

$x=54$

Total number of pages

$xd=(54)(10)=540$

Therefore , the total number of pages is 540.

3 0

3 years ago

A fishing boat lies 200 m due south of a large tree on the shoreline and 300 m southwest of the dock. The shoreline runs East to

Lunna [17]

Tree...........................dock
.
.
.
.
.
boat

use Pythagorean Theorem to satisfy...a^2 + b^2 = c^2

200^2 + b^2 = 300^2
b^2 = 300^2 - 200^2
b^2 = 50000 (get square root of each)
b = 223.606 (rounded to the nearest tenth.... = 223.6

4 0

3 years ago

Read 2 more answers

Evaluate: |18| A:1/18 B:-1/-18 C:-18 D18

masya89 [10]

Answer will be D. Absolute value can never be negative.

4 0

3 years ago

If x = 15 cm, y = 36 cm, and z = 39 cm, what is the surface area of the geometric shape formed by this net? A. 1,890 cm2 B. 2,88

zheka24 [161]

Answer:

I belive it’s C

Step-by-step explanation:

I don’t know if it’s correct tell me if I’m wrong

6 0

2 years ago