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OleMash [197]
3 years ago
5

-2.3x + 4.2x = 15.01 Solve for x

Mathematics
2 answers:
Neko [114]3 years ago
6 0

-2.3x + 4.2x = 15.01         original equation

1.9x = 15.01                    combine like terms

1.9x/1.9 = 15.01/1.9        divide both sides by 1.9 to get x alone

<u>x = 7.9</u>                           simplify

CHECK YOUR WORK:

<u>plug in the solution to x into the original equation like so:</u>

-2.3(7.9) + 4.2(7.9) = 15.01        original equation w/ substitute for x

-18.17 + 33.18 = 15.01                simplify multiplication

<u>15.01 = 15.01</u>                             simplify addition

<u>When you get an answer like this, you know that the solution to x that you found is correct.</u>

VashaNatasha [74]3 years ago
4 0

Answer:

x = 7.9

Step-by-step explanation:

-2.3x + 4.2x = 15.01

combine like terms

1.9x = 15.01

divide both sides by 1.9

x = 7.9

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A jar contains nickels and dimes. There are 20 coins in the jar, and the total value of
weeeeeb [17]

Answer:

Step-by-step explanation:

n and d are the number of nickels and dimes, respectively.

"there are 20 coins"

n+d = 20

d = 20-n

"total value is $1.40"

0.05n + 0.10d = 1.40

0.05n + 0.10(20-n) = 1.40

-0.05n + 2 = 1.40

0.05n = 0.6

n = 12

d = 20-m = 8

3 0
2 years ago
Kurt and Maria's high school is having a newspaper drive.The goal is to collect 3,585 pounds of newspapers. So far, 21% of the g
Novay_Z [31]

Options:

Who is right, and why?

a. Neither Kurt nor Maria is right, because 3,500 should be used instead of 3,600.

b. Kurt is right, because finding 1/5 of 3,600 is not a good way to approximate 21% of 3,585.

c. Maria is right, because finding 10% of 3,600 and multiplying the result by 2 is not a good way to approximate 21% of 3,585.

d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.

Answer:

d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.

Step-by-step explanation:

Given

Goal = 3585

Collected = 21\%

Kurt= 10\% * 3600 * 2

Maria = \frac{1}{5} * 3600

Required [Missing from the question]

Who is correct and why?

First, we calculate the actual amount collected.

Actual = Collected * Goal

Actual = 21\% * 3585

Actual = 752.85

Actual = 753 --- approximate

Next, determine the estimate (round 3585 to 3600 and 21% to 20%)

Estimate = 20\% * 3600

Estimate = 720

Next, calculate Kurt and Maria's estimates

Kurt= 10\% * 3600 * 2

Kurt = 720

Maria = \frac{1}{5} * 3600

Maria = 720

<em>Hence, Kurt and Maria are correct because of option (d)</em>

7 0
3 years ago
Madeline drove 180 miles in 4 hours. If she drove at a constant rate, how far did shetravel in one hour?On the double number lin
Tcecarenko [31]

We have a question on motion with the elements of distance, time taken and speed.

This question in particular is asking us for distance per unit time (in this case, hours).

We are required to find out how much distnace is covered in on hour and our approach will be as follows:

\text{Speed= }\frac{\text{Distance}}{\text{time}}=\frac{180\text{miles}}{4\text{hours}}=\frac{45\text{ miles}}{1\text{ hour}}

This right here just tells us that 4 hours, Madeline covered 180 miles and since her rate was constant (equal distances in equal times), then she also covered 45 miles in an hour.

Now we plot our number line.

8 0
1 year ago
Please answer this correctly
madreJ [45]

Answer:

0

Step-by-step explanation:

3 cards

P( odd) = 1 odd/ 3 cards = 1/3

No replacement

2 cards 6,8

No odds

P( odd) = 0/2

P( odd, no replacement, odd) = 1/2 * 0 = 0

4 0
3 years ago
A 15oz tea at a certain restaurant has 135 calories. How many calories are there in a 22 oz iced tea ?
crimeas [40]

\bf \begin{array}{ccll} oz&calories\\ \cline{1-2} 15&135\\ 22&x \end{array}\implies \cfrac{15}{22}=\cfrac{135}{x}\implies 15x = 2970 \\\\\\ x = \cfrac{2970}{15}\implies x = 198

5 0
3 years ago
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