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Lubov Fominskaja [6]
3 years ago
9

(Writing systems of Equations) Jenny bought supplies for a party.Three rolls of streamers and fifteen party hats costs $30.Later

she bought two rolls of streamers and four party hats for 11$.Write a system of equations that can be used to determine the cost of each item.
Mathematics
1 answer:
kakasveta [241]3 years ago
6 0

Answer:

A) 3S + 15H = 30.00

B) 2S + 4H = 11.00

We'll multiply B) by -1.5

B) -3S + -6H = -16.50  then we add this to A)

A) 3S + 15H = 30.00

9H = 13.50

1 Hat costs $1.50

That means 15 Hats cost 22.50 so equation A becomes:

3S + 22.50 = 30

3S = 7.50

1 Streamer costs $2.50

Step-by-step explanation:

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olga2289 [7]

Answer:

the answer is B. 45" I took the test

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3 years ago
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in 2012, the population of a city was 63,000. by 2017, the population was reduced to approximately 54,100. identify any equation
Akimi4 [234]

Answer:

<em></em>f(x) = 63000(0.97)^x<em></em>

<em></em>

Step-by-step explanation:

Given

f(0) = 63000 ---x = 0, in 2012

f(5) = 54100 -- x = 5, in 2017

Required

Select all possible equations

Because there is a reduction in the population, as time increases; the rate must be less than 1.

An exponential function is represented as:

f(x) = ab^x

Where

b = rate

rate > 1 in options (a) and (b) i.e. 1.03

This implies that (a) and (b) cannot be true

For option (c), we have:

f(x) = 63000(0.97)^x

Set x = 0

f(0) = 63000(0.97)^0 = 63000*1=63000\\

Set x = 5

f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100

<em>This is true because the calculated values of f(0) and f(5) correspond to the given values</em>

For option (d), we have:

f(x) = 52477(0.97)^x

Set x = 0

f(0) = 52477(0.97)^0 - 52477* 1 = 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

For option (e), we have:

f(x) = 63000(0.97)^\frac{1}{5x}

Set x = 0

f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =undefined

<em>This is false because the f(x) is not undefined at x = 0</em>

For option (f), we have:

f(x) = 52477(0.97)^{5x

Set x = 0

f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

<em>From the computations above, only (c) </em>f(x) = 63000(0.97)^x<em> is true</em>

4 0
3 years ago
Name three faces of the cube that intersect at point G.
sveta [45]
I am not completely sure how to name faces, but I will name them using all four points.

Faces DCBA
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Faces HGFE
5 0
3 years ago
Show all work to multiply (6+square root -64)(3-square root -16)
Hunter-Best [27]

Answer:

50

Step-by-step explanation:

- 8i = √-64

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>> -32i² + [24i - 24i] + 18

↑ ↑

-1 0

>>> 32 + 18 = 50

Information on Imaginary Numbers

√-1 = i

-1 = i²

-i = i³

1 = i⁴ [And every other exponent that is a multiple of 4; this cycle then repeats itself every time you go up one number at a time]

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

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Ivan has cut 19 pieces of reinforcing bar​ (rebar) that are each 1.14 meters long. What is the total length of the rebar used fo
madreJ [45]

Answer:

The total length of rebar used is  21.66 meters.

Step-by-step explanation:

Given:

Ivan had cut a reinforcing bar in 19 pieces and length of each bar is 1.14 meters.

Number of pieces = 19

Length of each piece = 1.14

We need to find the total length of reinforcing bar.

To calculate the total length we will multiply number of pieces with length of each piece.

Hence,

Total length of rebar = Number of pieces × Length of each piece = 19\times1.14 = 21..66 m

Rounding to nearest hundred = 21.66 m

Hence the total length of reinforcing bar is 21.66 meters.

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3 years ago
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