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3 years ago

Linda spent 3/4 of her saving on furniture and the rest on a tv.If the tv cost her $200,what were her original savings .

Mathematics

1 answer:

My name is Ann [436]3 years ago

3 0

Let x represent the amount of savings

$\frac{3}{4}$ of savings minus tv equals zero

$\frac{3}{4}x$ - 200 = 0

$\frac{3}{4}x$ = 200

3x = 4(200)

$x = \frac{4(200)}{3}$

x = 266.67

Answer: $266.67

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Based on the scatter plot, which equation represents the line best fit for the data about cups of beads?

e-lub [12.9K]

Answer:

Option B. y = 1.81x + 44.36

Step-by-step explanation:

The graph represents a scatter plot with a positive correlations and has a positive y-intercept.

By drawing the best line to fit the data the y-intercept will be approximately at the midpoint of 45 and 50

We will check which option is true:

A. y = 4.25 x

The equation of option A represents a line pass through the point (0,0)

Which mean y-intercept is 0 and this is wrong.

B. y = 1.81x + 44.36

According to the best line to fit the data option B is true.

Also by substitution with x = 2

y = 1.81 * 2 +44.36 = 47.98

which is near to the actual point on the graph (50)

C. y = 1.81 x ⇒ Wrong ⇒ same explanation of option A

D. y = 4.25 x + 50 ⇒ Wrong

Because the y-intercept will be approximately at the midpoint of 45 and 50

<u>So, The answer is option B. y = 1.81x + 44.36</u>

5 0

2 years ago

The Cowboys High School Band Boosters are selling candy bars and chips at the basketball tournament to raise money for their ban

masya89 [10]

Answer:

They have 425 candy bars ready to sell.

Step-by-step explanation:

Let,

x be the number of candy bars ready to sell

y be the number of chips ready to sell

According to given statement;

x+y=575 Eqn 1

x+0.5y= 500 Eqn 2

Subtracting Eqn 2 from Eqn 1

(x+y)-(x+0.5y)=575-500

x+y-x-0.5y=75

0.5y = 75

Dividing both sides by 0.5

$\frac{0.5y}{0.5}=\frac{75}{0.5}\\y=150$

Putting y=150 in Eqn 1

x+150 = 575

x = 575-150

x = 425

Hence,

They have 425 candy bars ready to sell.

7 0

2 years ago

Note: Enter your answer and show all the steps that you use to solve this problem Find the area. The figure is not drawn to scal

fgiga [73]

Answer:

area=13.8cm^2

Step-by-step explanation:

6 0

3 years ago

Evaluate 5! + 2!.<br> Idk what is it

Sedbober [7]

Answer:

122

Step-by-step explanation:

If a number has an explanation point on the side of it, you should multiply all numbers that are equal to are less than that number.

$5!=5*4*3*2*1=120\\2!=2*1=2\\120+2=122$

4 0

3 years ago

Jayden is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up

DENIUS [597]

Answer:

a. 8 gallons

b. (11-0.75t) gallons

Step-by-step explanation:

a. Here in this question, we are told that the total amount of fuel in the fuel tank is 11 gallons and the car consumes 0.75 gallon per hour. We are interested in knowing the amount of fuel left in the tank after driving for four hours.

We proceed as follows;

Since 0.75 gallon is consumed in an hour, the amount of fuel consumed in 4 hours would be the amount consumed in an hour * 4 hours

Mathematically, that would be 0.75 * 4 = 3 gallon

Now, the amount of fuel left is simply the difference between the initial amount of fuel in the tank minus the amount of fuel present after 4 hours.

That would be; 11 - 3 = 8 gallons

b. Like above, we want to know the amount of fuel left after t hours.

Since 0.75 is used up per hour, the amount used up in t hours would be 0.75 * t = 0.75t

Now, the amount of fuel that would be left in the tank would be the difference between what we had initially and what was used up.

Mathematically, that would be 11- 0.75t

4 0

2 years ago