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zepelin [54]
3 years ago
8

6.7 more than the product of 5 and n

Mathematics
1 answer:
Jlenok [28]3 years ago
8 0
6.7 5 n More than means + Product of means • So 6.7+(5n)
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Ken has a pole that is 26 inches long. He wishes to cut it into two pieces so that one piece will be 8 inches longer than the ot
Yuliya22 [10]

Answer:

9 inches

Step-by-step explanation:

Do the question algebraically, represented by this equation:

let x be the shorter piece

x + (x + 8) = 26                      (longer piece is 8 units longer)

Remove brackets

x + x + 8 = 26                 Combine like terms              

2x + 8 = 26                   Start isolating "x"

2x + 8 - 8 = 26 - 8           Subtract 8 from both sides

2x = 18

2x/2 = 18/2           Divide both sides by 2

x = 9                    shorter piece

The shorter piece would be 9 inches.

If you needed the longer piece too:

longer piece = x + 8

x + 8

= 9 + 8

= 17

The longer piece would be 17 inches.

Check your answer:

Longer + Shorter = 26           Substitute the lengths

17 + 9 = 26                    Add

26 = 26                same number

LS = RS                left side equals right side

The answer is correct.

3 0
3 years ago
URGENT HELPP!!!
Aleonysh [2.5K]
<span>All three sides of triangle X'Y'Z' must be parallel to the corresponding sides in triangle XYZ and the corresponding angles are congruent .

The dilated triangle will be similar to the original triangle, which means all angles will be the same. 

</span><span>The sides of the two triangles will also be parallel. You can test this by observing the slopes:
Line XY has a slope of 2/3, moving from -4,2 and passing through -1,4.
Line X'Y' has the same slope, moving from (-6,3) to (-3,5)

You can see that this is the case for all corresponding sides' slopes. </span>
3 0
3 years ago
Read 2 more answers
I just need help with this
Alexxx [7]

Answer:

z = 4.5

Step-by-step explanation:

∠B = ∠B      ∠BAD = 90° - ∠B = ∠C

ΔBAD ~ ΔBCA

AB / z = BD / AB

z = AB * AB / BD = 3*3 / 2 = 4.5

3 0
2 years ago
Solve x2 + 1/2x +1/16=4/9
kolezko [41]

<u>Answer:</u>

x = 0.417 or x = -0.917

<u>Step-by-step explanation:</u>

We are given the following expression and we are to solve it for the variable x:

x ^2 + \frac { 1 } { 2 } x + \frac { 1 } { 1 6 } = \frac { 4 } { 9 }

We will find the least common multiple of 2. 6 and 9:

x^2 \times 144 +\frac{1}{2}x \times 144 +\frac{1}{16} \times 144 = \frac{4}{9} \times 144

Simplifying it to get:

144x^2+72x+9=64

144x^2+72x+9-64=0

144x^2+72x-55=0

Using the quadratic formula to solve for x:

x=\frac{-b \pm\sqrt{b^2-4ac} }{2a}

x=\frac{-72 \pm\sqrt{72^2-4(144)(-55)} }{2a}

x=\frac{5}{12} or 0.417

x=-\frac{11}{12} or -0.917

3 0
3 years ago
If you deposit $6000 into an account paying 8% annual interest compounded monthly, how much money will be in the account after 7
Leviafan [203]

Answer:

$10278

Step-by-step explanation:

Given data

P= $6000

R= 8%

T= 7 years

The compound interest formula is

A=P(1+r)^t

substitute

A=6000(1+0.08)^7

A=6000(1.08)^7

A=6000*1.713

A=$10278

6 0
2 years ago
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