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3 years ago

6

Find two consecutive whole numbers that 86 lies between.

1 answer:

mel-nik [20]3 years ago

4 0

86 is between 85 and 87

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Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B rounds every 1 minute and 40 seconds in the gate 2. I

Elden [556K]

Answer:

$Time = 11\frac{2}{3}\ min$

Step-by-step explanation:

Given

$Security\ A = 2\ mins, 20\ secs$

$Security\ B = 1\ mins, 40\ secs$

Required

After how many minutes, will they round together

First, convert the given time to minutes

$Security\ A = 2\ mins, 20\ secs$

$Security\ A = 2\ mins+ 20\ secs$

$Security\ A = 2\ mins+ \frac{20}{60}\ min$

$Security\ A = 2\ mins+ \frac{1}{3}\ min$

$Security\ A = 2\frac{1}{3}\ min$

$Security\ B = 1\ mins, 40\ secs$

$Security\ B = 1\ mins+ 40\ secs$

$Security\ B = 1\ mins+ \frac{40}{60}\ min$

$Security\ B = 1\frac{2}{3}\ min$

So, we have:

$Security\ A = 2\frac{1}{3}\ min$

$Security\ B = 1\frac{2}{3}\ min$

List out the multiples of the time of both security personnel take round.

$Security\ A = 2\frac{1}{3}min,\ 4\frac{2}{3}min,\ 7min,\ 9\frac{1}{3}min,\ 11\frac{2}{3}min...$

$Security\ B = 1\frac{2}{3}min,\ 3\frac{1}{3}min,\ 5min,\ 6\frac{2}{3}min,\ 8\frac{1}{3}min,\ 10min\ ,11\frac{2}{3}min,...$

In the above lists, the common time is:

$Time = 11\frac{2}{3}\ min$

<em>This implies that they go on round after </em> $11\frac{2}{3}\ min$ <em></em>

4 0

3 years ago

Please help!!!hehene snsn

lana66690 [7]

Answer:

y = 2x+2

As we can see X has 0 while Y has 2 already, meaning the Y intercept has to be 2.

5 0

3 years ago

Read 2 more answers

a rectangle has a perimeter of 76 cm. Its length is 5 more that twice its width. The system of equation below can be use to fine

Juliette [100K]

Answer:

$l=27cm$ and $w=11cm$

Step-by-step explanation:

the perimeter of a rectangle is given by the following equation:

$p=2(l+w)=2l+2w$

if a rectangle has a perimeter of 76cm and its length is 5 plus the double of its width we can use a system of equations to find the length $l$ , and the width $w$ .

For the perimeter of the rectangle

$2l+2w=76$ where $l$ is its length, and $w$ is its width, 76 is the perimeter of the rectangle in cm.

We know that the lengh of the rectangle is 5 plus the double of its width, writing the equation:

$l=5+2w$

Substituting the equation above in $2l+2w=76$

$2(5+2w)+2w=76\\10+4w+2w=76\\6w=76-10\\w=66/6\\w=11$

We got that the rectangle width is w=11cm

Substituting w in the equation $2l+2w=76$

$2l+2(11)=76\\2l+22=76\\l=(76-22)/2=54/2\\l=27$

We got that the rectangle length is l=27cm

Verifying the values obtained

$2l+2w=76$ with l=27 and w=11

$2(27)+2(11)=76$

$54+22=76$

Satisfying the equation

5 0

3 years ago

Solve for x. 6x-10≤8 or 1/3 x+6>12

Feliz [49]

The solution is

$x\le 3 \:or \:x>18$

$EXPLANATION$

$6x-10\le 8\: or \frac{1}{3}x+6>12$

We group like terms, to obtain;

$6x\le 8+10\: or \frac{1}{3}x>12-6$

Simplify to get,

$6x\le 18\: or \frac{1}{3}x>6$

We further simplify to get;

$x\le 3\: or x>18$

This can also be rewritten as;

$x\le 3, x>18$

Or

$(-\infty 3] \cup (18,+ \infty)$

This can be represented on the number line as shown in the diagram.

6 0

4 years ago

Read 2 more answers

A rectangular prism has a height of 10 inches, breadth of 19 inches and length twice the height. What is the volume of the prism

andrezito [222]

Answer:

3800

Step-by-step explanation:

Volume= Length x width x height

v=20x19x10

v=3800 inches²

Brainliest please

4 0

3 years ago