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3 years ago

16x -7<-71 Please Help

Mathematics

1 answer:

saw5 [17]3 years ago

4 0

Answer:

x<-4

Step-by-step explanation:

$16x - 7 < - 71 \\ 16x < - 71 + 7 \\ 16x < - 64 \\ x < - 4$

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What is the length of a diagonal of a rectangular picture whose sides are 12 inches by 17 inches? Round to the nearest tenth of

Nostrana [21]

Answer: d≈20.81in

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3 years ago

-8(2x +x )/-2y , if x=-5, y=2 and z=0

Masteriza [31]

Answer:

Step-by-step explanation:

x=-5, y=2 and z=0

-8(2x +x )/-2y =(-8•3x)/-2y = [-8•3(-5)] / (-2•2) = 120/(-4) =-30

5 0

3 years ago

Jovita divides $12,000 into three investments: a savings account paying 4% annual interest, a bond paying 6%, and a money market

xenn [34]

Answer:

$2080 was invested in the savings account, $4241 was invested in the bond account, & $6539 was invested in the money fund.

Step-by-step explanation:

Let a, b, and c be the fractions of the $12,000 that is invested in the savings, bond, & money fund respectively.

Let S1, S2, S3 be the total monies from the savings, bond, & money fund after the year with interest respectively.

We know that a+b+c=1

and

S1+S2+S3 = 12000 + 860

S1+S2+S3 = 12860

From, the question, we know that b = 2a, and c = 1 - 3a based on the condition of 2 times more in the bond account that the savings account.

Thus;

S1 = a(12000)(1.04) = 12480a

S2 = 2a(12000)(1.06) = 25,440a

S3 = (1 - 3a)(12000)(1.09) = 13080 - 39240a

We already know that;

S1+S2+S3 = 12860

Thus, Adding the 3 equations gives;

12480a + 25,440a + 13080 - 39240a = 12860

Thus, simplifying gives;

13080 - 12860 = 39240a - 12480a - 25,440a

220 = 1320a

a = 220/1320

a = 0.1667

So,b = 2 x 0.1667 = 0.3334

c = 1 - (3 x 0.1667)

c = 1 - 0.5

c = 0.5

Thus,

S1 = 12480a = 12480 x 0.1667 ≈ $2080

S2 = 25,440a = 25440 x 0.1667 ≈ $4241

S3 = 13080 - 39240(0.1667) ≈ 6539

So, $2080 was invested in the savings account, $4241 was invested in the bond account, & $6539 was invested in the money fund.

3 0

3 years ago

Read 2 more answers

Which of the following accurately pairs the part of an atom to its charge ?

rusak2 [61]

Electron—negative charge

Happy studying ^_^

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3 years ago

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a cylindrical well has a radius of 10 feet and a height of 15 feet what volume of water will it take to fill in the well

vampirchik [111]

Volume of water will it take to fill in the well is 4710 cubic feet

<h3><u>Solution:</u></h3>

Given that a cylindrical well has a radius of 10 feet

Height of cylindrical well = 15 feet

To find: volume of water will it take to fill in the well

Since, the well is in the form of cylinder, This means that we need to find the volume of cylindrical well

<em><u>The volume of cylinder is given as:</u></em>

$\text { Volume of water in the well }=\pi r^{2} h$

Where "r" is the radius and "h" is the height of cylinder

Substituting the given values we get,

$\begin{array}{l}{\text { Volume of water in the well }=(3.14) \times(10)^{2} \times(15)} \\\\ {=(3.14) \times(1500)=4710}\end{array}$

$\text { Volume of water in the well }=4710 \text { feet }^{3}$

Hence, the amount of water that can be stored in the well is 4710 cubic feet

7 0

3 years ago