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3 years ago

There are 6 ants on a log. Then 7 ants crawl onto the log. How many ants are on the log now?

Mathematics

2 answers:

kow [346]3 years ago

7 0

Easy it is 13 because 7 + 6=13

IceJOKER [234]3 years ago

7 0

13 because you can add (+) 6 ants because it said there are 6 anta on a log then 7 ants crawled onto the log its basicaly saying whats 6+3 the answer is 13

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Solve for x. -7>13-5x

Black_prince [1.1K]

Answer: x>4

The answer is x>4

5 0

3 years ago

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A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len

Aleonysh [2.5K]

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

$Area = 135yd^2$

$L=3W - 12$

Required

Determine the length of the rectangle:

Area is calculated as thus:

$Area = L * W$

Substitute 3W - 12 for L and 135 for Area

$135= (3W - 12) * W$

$135= 3W^2 - 12W$

Reorder:

$3W^2 - 12W - 135= 0$

Divide through by 3

$W^2 - 4W - 45 = 0$

Expand:

$W^2 - 9W + 5W - 45 = 0$

$W(W - 9) + 5(W - 9) = 0$

$(W + 5)(W-9) = 0$

$W + 5 = 0$ or $W - 9 = 0$

$W = -5$ or $W = 9$

But width can't be negative

So:

$W = 9$

Recall that: $L=3W - 12$

$L = 3 * 9 - 12$

$L = 15$

Hence, the length 15 yards

4 0

3 years ago

4. If DF = 9x - 39, find EF. Help I’m so confused!!!!

topjm [15]

Answer:

EF =58

Step-by-step explanation:

from the illustration,

EF =DF - DE

given that DF =9x-39 , DE =47 EF=3x +10

substitute them into the formula,

3x +10=9x-39 - 47

solving for x

3x +10 =9x -86

grouping like terms

3x - 9x =-86 -10

-6x=-96

dividing through by -6

 $\frac{ - 6x}{ - 6} = \frac{ - 96}{ - 6}$ 

 $x = \frac{96}{6}$ 

 $x = 16$ 

but EF=3x+10

substitute x=16 into it to get the EF

EF= 3(16)+10

EF=48+10

EF=58

6 0

3 years ago

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Determine the domain of the function.

pav-90 [236]

$Domain \ of \ \frac{\sqrt{x + 3}}{(x + 8)(x - 2)}=(-3\leq x < 2) \cup (2 < x < \infty)$

i.e. x ≥ –3, x ≠ 2

4 0

2 years ago

The base of a regular pyramid is a hexagon. The figure shows a regular hexagon with center C. An apothem is shown as a dashed se

tatuchka [14]

Answer: 294√3

Explanation:

1) The described hexagon has these featrues:
a) 6 congruent equilateral triangles whose side lengths measure 14
b) height of each triangle = apotema = a
c) the area of each triangle is base × a / 2 = 14 × a / 2 = 7a

2) a is one leg of a right triangle whose other leg is 14 / 2 = 7, and the hypotenuse is 14.

3) Then you can use Pythagorean theorem fo find a:

14² = 7² + a² ⇒ a² = 14² - 7² = 147 ⇒ a = √ 147 = 7√3

4) Therefore, the area of one triangle is: 14 × 7√3 / 2 = 49√3

5) And the area of the hexagon is 6 times that: 6 × 49√3 = 294√3

8 0

2 years ago