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AlekseyPX
3 years ago
15

The points on the number line do represent additive inverses. 3 and −3 are a zero pair, and when added they equal zero. The two

numbers are the same distance from zero but in opposite directions.
Mathematics
2 answers:
eimsori [14]3 years ago
5 0

Answer:

Its because one is a positive integer and the other is a negative.  So basically it is 3-3=0

Step-by-step explanation:

densk [106]3 years ago
3 0

Answer:

true

Step-by-step explanation:

because the question is he points on the number line do represent additive inverses. 3 and −3 are a zero pair, and when added they equal zero. The two numbers are the same distance from zero but in opposite directions. then it would equal 0

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Find the area of the shaded portion in the equilateral triangle with sides 6.
LUCKY_DIMON [66]
Triangle is equilateral with sides of 6.
Therefore all angles = 60°
Ht of 30-60-90 is 3sr3 = 5.196
Area of 30-60-90 = 1/2×b×h = 3×5.196
Area = 15.59
Pie slice from each corner = 60/360×pi×r^2, with r = 3
1/6×pi×9 = 4.71 × 3 pie slices = 14.13
So, shaded inner region = area triangle - 3 pie corners = 15.59-14.13
= 1.46
7 0
3 years ago
Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 36 miles at a speed of 6 mph, while
kykrilka [37]

Answer:

Niles and Bob were traveling for 6 hours.

Step-by-step explanation:

The speed or rate at which an object is moving can be computed using the formula:

s=\frac{d}{t}

Here:

<em>s</em> = speed

<em>d</em> = distance traveled

<em>t</em> = time taken

It is provided that Niles and Bob sailed at the same time for the same length of time.

Speed of Niles sailboat is, <em>s</em>₁ = 6 mph.

Distance traveled by Niles' sailboat is, <em>d</em>₁ = 36 miles.

Speed of Bob's sailboat is, <em>s</em>₂ = 16 mph.

Distance traveled by Bob's sailboat is, <em>d</em>₂ = 96 miles.

It took both Niles and Bob the same time to travel the respective distance.

Compute the time it took Niles to travel 36 miles at 6 mph speed as follows:

t_{1}=\frac{d_{1}}{s_{1}}

   =\frac{36}{6}\\=6

It took Niles 6 hours to travel 36 miles at 6 mph speed.

Compute the time it took Bob to travel 96 miles at 16 mph speed as follows:

t_{2}=\frac{d_{2}}{s_{2}}

   =\frac{96}{16}\\=6

It took Bob 6 hours to travel 96 miles at 16 mph speed.

Thus, Niles and Bob were traveling for 6 hours.

7 0
3 years ago
Fourteen less children’s meals were served than adult meals at a barbecue. Children plate were 1.50 each and adult plates were 2
Annette [7]

Answer:

134 children and 120 adult plates were served

Step-by-step explanation:

let the children mean be x

Let the adult meal be y

If fourteen less children’s meals were served than adult meals at a barbecue, then;

y = x - 14 .... 1

IF Children plate were 1.50 each and adult plates were 2.00 each with a total of 441 in amount then;

1.5x + 2y = 441 .... 2

Substitute 1 into 2;

1.5x + 2(x-14) = 441

1.5x+2x-28 = 441

3.5x = 441+28

3.5x = 469

x = 469/3.5

x = 134

Recall that y = x - 14

y = 134-14

y = 120

Hence 134 children and 120 adult plates were served

7 0
2 years ago
A student is jogging a rate of 2/3 of a mile in 2/5 of an hour
ValentinkaMS [17]
2/5 of an hour is 12 minutes
5 0
2 years ago
The recommended daily dietary allowance for zinc among males older than age 50 years is 15 mg/day. The article "Nutrient Intakes
nordsb [41]

Answer:

H0 : μ = 15

H1 : μ < 15

−6.170774

Step-by-step explanation:

Given :

n=115, barx =11.3, and s=6.43

H0 : μ = 15

H1 : μ < 15

−0.053658 ;

The test statistic :

(xbar - μ) ÷ s/sqrt(n)

(11.3 - 15) ÷ (6.43/sqrt(115))

Test statistic = −6.170774

Rejection region :

Reject Null ; if

Tstatistic < Zcritical

The P value is 0.00001 ; using the p value from Z calculator

Since,

P value < α

0.00001 < 0.05

Reject the null

6 0
3 years ago
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