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Kobotan [32]
3 years ago
14

David and Amanda are trying to figure out how long they can live off their $12,350 savings if they spend $240 each month. They h

ave each created an equation.
David’s Equation y = 12,350 – (240x)
Amanda’s Equation y = 12,350 + (240x)

Which person has the correct equation to model this linear relationship?
1. Amanda’s equation is correct because their spending will be multiplied by the number of months and then added to their savings.
2. Amanda’s equation is incorrect because their spending will increase the amount of their savings.
3. David’s equation is correct because their spending will be multiplied by the number of months and then subtracted from their savings.
4. David’s equation is incorrect because their spending should be a fixed amount and should not be multiplied.
Mathematics
1 answer:
Alecsey [184]3 years ago
7 0

Hey there! :)

Answer:

Choice 3: David's equation is correct because their spending will be multiplied by the number of months and then subtracted from their savings.

Step-by-step explanation:

In the question, $12,350 is given as the initial value and '240x' is the monthly spending in terms of x.. When writing the equation, we must subtract 240x because the money is being spent.

The correct equation for this situation would be:

y = 12,350 - (240x).

Thus, David's Equation is correct.

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The label on a package of bolts says each bolt has a diameter of 0.35 inch. To be in the package, the percent error of the diame
qaws [65]

Answer: No

Step-by-step explanation:-

Labeled diameter on the bolt = 0.35 inch

The observed diameter of the bolt= 0.33 inch

{\text {Percentage Error}}=|\frac{\text {labeled value}-{Observed value}}{\text {Observed value}}|\times 100\%

{\text{Percentage Error}=|\frac{0.35-0.33}{0.33}|\times 100\%=6.06\%

For the bolt to be in the package, the percent error must be less than 5%. As the percent error is 6.06% which is greater than 5%, the bolt cannot be in the package.



7 0
3 years ago
Read 2 more answers
Which of the following is equivalent to 7.4 kilograms? 740,000 mg 740 g 74 hg 74,000 cg
dlinn [17]
<span>Which of the following is 7.4 kilograms?
=> 740 000 mg
=> 740 g
=> 74 hg
=> 74 000 cg
Let’s base on the Unit of measurement or conversion.
=> 740 000 mg
In every 1 kilogram is equals to 1 000 000
=> 7.4 kg * 1 000 000 mg = 7 400 000 mg
It’s not the correct Answer
=> 740 g
In every 1 kg is equals to 1 000 grams
=> 7.4 * 1000 = 7 400 grams
Thus, it’s not the correct answer
=> 74 hg
In every 1kg is equals to 10 hectograms
=> 7.4 kg x 10 = 74hg
Thus, this is the correct answer
=> 74 000 cg
In every 1kg is equals to 100 000
=> 7.4 * 100 000 = 740 000
not the correct answer.

</span>



8 0
3 years ago
Read 2 more answers
Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a red card
joja [24]

Answer: \dfrac{3}{51}

Step-by-step explanation:

Given : The total number of cards in a deck = 52

Number of red cards = 26

There are two types of red  cards : diamond and heart.

Number of diamond cards = 13

The probability that the first card is a diamond :-

\dfrac{13}{52}=\dfrac{1}{4}

Since diamond is also a red card.

Now, the total cards left = 51

The number of red cards left = 12

The probability that the second card is a red card (without repetition) is given by :-

\dfrac{12}{51}

Now, the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a diamond :-

\dfrac{1}{4}\times\dfrac{12}{51}=\dfrac{3}{51}

7 0
3 years ago
The surface area of a square pyramid is 125 square feet. The base length is 5 feet. What is the slant height?
Mademuasel [1]

Answer:

10.31 ft

Step-by-step explanation:

the base is 25 ft²

leaves 100 ft² for the 4 sides on top

so each triangle got 25ft²

the base length of the triangle is 5ft, bc it's the base length of the pyramid

so the height of the triangle is 10ft,

bc only then do we get a surface area of 25ft²

(b * h /2) for the triangle

now that we got base length and height,

let's look for the slant

we recall the pythagoras stuff to get the missing side of the triangle. but notice that we need to split the triangle in half to get a 90° angle.

leaving us with 10ft (height) and 2.5ft

slant² = 10² + 2.5²

slant² = 106.25

slant = sqrt(106.25)

slant = 10.31

3 0
2 years ago
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zhuklara [117]

\huge \boxed{\mathbb{QUESTION} \downarrow}

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\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

\tt \: y + 3 y = 0 + 24

Combine y and 3y to get 4y.

\tt \: 4y=0+24

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\tt \: 4y=24

Divide both sides by 4.

\tt \: y=\frac{24}{4}  \\

Divide 24 by 4 to get 6.

\boxed { \boxed {\bf \: y=6 }}

8 0
3 years ago
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