the smiths spend 6% of their budget on entertainment. their total budget this year is $1,000 more than last year, this year they plan to spend $2,820 on entertainment. what was their total budget last year?

Answers

Answer 1

Answer: Answer: Their total budget last year was $40,000.
Step-by-step explanation:
Given : The Smiths spend 6% of their budget on entertainment.
i.e. , The money they spend on entertainment = 0.06 x ( Total budget)
{ 6% is converted to 0.06 , when we divide it by 100 to remove percentage)
Since , this year they plan to spend $2,580 on entertainment.
i.e. 0.06 x ( Total budget ) = $2,580
On dividing both sides by 0.06 , we get
( Total budget ) = $2,580 ÷ 0.06
= $43,000
Thus , their total budget for this year = $43,000
Also, Their total budget this year is $3,000 more than last year.
Therefore , their last year total budget = ( Total budget this year ) - $3000
= $43,000 - $3000
= $40,000
Hence, their total budget last year was $40,000.

Hope this helps! Also can I have brainliest? It’s ok if no :) have a nice day.

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The equation of the line of best fit of a scatter plot is y = 12x + 7. What is the slope of the equation? −12 −7 12 7

Answers

Well,

Slope-intercept form is given as follows:
y = mx + b

In this equation, "m" is the slope, and "b" is the y-intercept.

y = 12x + 7

We can clearly see that the 12 in the equation is the "m" in the general slope-intercept form.

Therefore, the slope of the equation is 12.

i would say 12 i think

A circle has a circumference of 196π
What is the radius of the circle?

Answers

Circumference=2πr
196π=2πr. Divide both sides by 2π so the answer is 98

Alexandra is climbing a tree that is 105 feet tall. She has climbed 70 feet so far. if f= the number of feet remaining, which graph best shows this situation?

Answers

Right answer is B. If we have f equal the amount of her remaining way so f it will be the difference between the way she has gone and her finish line. So we have 70 in the approximate middle of her way and F is between 70 feet and 105 feet, so 105=70+F

Answer:

Option B is the right answer.

Step-by-step explanation:

Given is - Alexandra is climbing a tree that is 105 feet tall. She has climbed 70 feet so far.

This means Alexandra has covered 70 feet and final point is 105 feet.

f is the remaining distance;

So, $105=f+70$

So, option B is the right answer.

10 1/2 cups of flour are needed to make 3 loaves of bread. How many cups are needed for 12?

Answers

Answer:

42 cups of flour

Step-by-step explanation:

12 is 4 times more than 3 (3 × 4 = 12), so we know that we need 4 times 10 1/2 (equal to 10.5) cups of flour.

All we need to do for this is do 10.5 × 4 = x and solve for x.

10.5 × 4 = 42 cups of flour

The surface area covered by a rectangular playground is 200 yards. The width of the playground is twice as long as it's length. Using factors, find the length and the width of the playground

Answers

Answer:

The length is 10 yards and the width is 20 yards of the playground.

Step-by-step explanation:

Given,

Area of the rectangular playground = 200 yards.

Solution,

Let the length of the playground be x.

Then the width of the playground is 2x.

Now, According to the formula of area of rectangle;

$Area\ of\ rectangle =length* width$

On substituting the values, we get;

$x* 2x=200\n\n2x^2=200\n\nx^2=(200)/(2)=100\n\nx^2=100\n\nx=√(100)\n\nx=10\ yards\n$

So the length of the playground is 10 yards.

Since the width is twice of the length.

So width = $2x=2* 10=20\ yards$

Hence the length is 10 yards and the width is 20 yards of the playground.

A store is selling candy for $8 for 16 bags. How much will it cost if you need to have 84 bags?

Answers

16 bags are $8. However, you need more than 16 bags; you need 84.

So the first thing you do is divide 84 by 16 which is 5.25. This means that if 16 bags are $8, then you need to multiply the price and quantity by 5.25 to work out how much it is for 84 bags:

$8 = 16 bags

Multiply by 5.25:

$8 * 5.25 = 16 bags * 5.25

$42 = 84 bags

Therefore, it’ll cost $42 to buy 84 bags.

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