A garden table and a bench cost $783 combined. The garden table costs $83 more than the bench. What is the cost of the bench?

Answers

Answer 1

Answer:

$557.5

Step-by-step explanation:

783/2

391.5 + 83 (more) =

557.5


Related Questions

Identify next three numbers in this sequence: 2, 8, 4, 16, 12

Answers

The next three numbers are 48, 44, 176

Answer:

2, 8, 4, 16, 12, 30, 26, 50

Step-by-step explanation:

The first is determinate the different ([tex]d[/tex]) between each consecutive value ([tex]a_n - a_{n-1}[/tex]).

[tex]8 - 2 = 6\\4 - 8 = -4\\16 - 4 = 12\\12 - 16 = -4\\[/tex]

How you can see when the position of the number in the sequence is odd you have to sum a number [tex]6x[/tex] and when the position of the number in the sequence is a even number you have to substract -4.

Why [tex]6x[/tex]? If you see the first two odd position numbers in the sequence are multiples of 6, then we made the deduction that each time that you sum a number this is a multiply of 6 and -4 is constant for each position even number.

Then for each odd position number in the sequence it's representation is of the form:

[tex]a_{n-1} + 6x = a_n[/tex]

Where [tex]a_{n-1}[/tex] is the number of before, [tex]x[/tex] the odd position of the number in the sequence and [tex]a_n[/tex] is the current value of [tex]a_n[/tex]

So the rest of the sequence is of the next form:

[tex]12 + 6(3) = 30[/tex]

[tex]30 -4 = 26[/tex]

[tex]26 + 6(4) = 50[/tex]

So the final answer is [tex]\{30, 26, 50\}[/tex]

what is the LCM of 900 and 30000

Answers

Answer: 90,000

To find the LCM (Least Common Multiple) of a number, list the multiples of each number.

Multiples of 900

Since they're a lot, we will extend it to the short version.

900, 2700, 9900, 37800, 85500, 90000

Multiples of 30000

30000, 60000, 90000, 120000, 150000

Looking at both multiples, the least common multiple is 90000, as it is listed in both 900 and 30000.

Hence, 90,000 is the answer.

a person buys X meter for 5
after, he sells 2/5 of it for 5.5
after, the half of it he sells 6.4
after, the leftovers for 6 and he make 120 profits of this
How much X meters he bought at the first place?

Answers

Step-by-step explanation:

I guess, it means every meter costs these amounts.

and the specified costs are not fit the whole bundle.

it is also unclear, if "half of it" means half of the original x meters, or half of the remaining meters (after selling 2/5 of the original meters). I assume the first.

so, we have

-5x

+ 2/5x × 5.5

+ 1/2x × 6.4

+ (10/10 - 4/10 - 5/10)x × 6 = + 1/10x × 6

= 120 ( a income minus costs is the profit, so balancing both sides in a "+" and "-" expression gives us the remaining profit).

about the line with the 1/10 :

the leftovers. 10/10 is the whole x at the beginning.

2/5 = 4/10.

1/2 = 5/10.

I brought all involved fractions to the same denominator of the smallest common multiple of 2 and 5 (10).

in full

-5x + (2/5)x×5.5 + (1/2)x×6.4 + (1/10)x×6 = 120

-5x + 2.2x + 3.2x + 0.6x = 120

-5x + 6x = 120

x = 120

so, he bought 120m in the first place.

4. How many y-intercepts can the graph of an absolute value function have?

Answers

Answer:     a function can only have one y-intercept.

discount is calculated on which price

Answers

Answer:

The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage. Where: L = List Price. S = Sale Price

factorise the following
a) 5x-x²
b) x²-6x-27
c) x²+x-56
d) x³+8
e) 3x⁴-54t
f) x²+3x-10
g) 2(x⁴+x³-12x²)
h) 20(x³-1)​

Answers

Answer:

Below.

Step-by-step explanation:

a) 5x-x² = x(5 - x).

b) x²-6x-27 = (x - 9)(x + 3).

c) x²+x-56 = (x - 7)(x + 8).

d) x³+8 = (x + 2)(x^2 - 2x + 4)

e) 3x⁴-54t = 3(x^4 - 18t)

f) x²+3x-10 = (x - 2)(x + 5)

g) 2(x⁴+x³-12x²) = 2x^2(x + 4)(x - 3)

h) 20(x³-1)​ = 20(x - 1)(x^2 + x + 1)

write a linear equation that passes through the point (-3,3) and (9,-13)

Answers

Answer:

y=-4/3x-1

Step-by-step explanation:

[tex] \frac{ {y}^{2} - {y}^{1} }{ {x}^{2 -{x}^{1} } } [/tex]

[tex] \frac{ - 13 - 3}{9 - - 3} = \frac{ - 16}{12\ }[/tex]

y=mx+b like this:

y=-4/3x+b

To find b:

y=-4/3x+b. 

You can use either (x,y) point you want..the answer will be the same

(-3,3). y=mx+b or 3=-4/3 × -3+b, or solving for b: b=3-(-4/3)(-3). b=-1.

(9,-13). y=mx+b or -13=-4/3 × 9+b, or solving for b: b=-13-(-4/3)(9). b=-1.

Which expression is equivalent to 3^4 times 3^-9

Answers

Answer:   3^4 · 3^-9 = 3^4 · 1/3^9

Step-by-step explanation:

Pls help me asap!! Only answer if u know the correct answer! Thanks! :)

Answers

The answer is 168 feet tall!

I hope this helps, please tell me of you want a step by step, I can give one. :)

Factorise. 5a² - 10a​

Answers

Answer:

5a (a -2)

Step-by-step explanation:

Hey there,

Here, you have to get the common factors out from the brackets.

According to this question,

a and 5 are the common factors.

Therefore, you can write the answer like this,

5a² - 10a

5a (a -2)

Hope this helps you.

Let me know if you have any other questions :-)

Do number 5 this is not a quiz

Answers

Answer:

x = 50 in.

Step-by-step explanation:

72 in. ÷ 36 in. = 2

2 x 25 in.

= 50 in.

Is it possible to have a triangle with the following sides?
a) 9 cm, 40 cm , 41 cm b) 5.4 cm, 3 cm, 2 cm

Answers

Answer:

In My Opinion, A

Step-by-step explanation:

the measurements are obeying the rule of Pythagorean triplet.

Hence,

This rule also satisfies Pythagorean theorem.

So therefore,

The triangle is a right angled triangle.

I hope this helps

Please help homework due tomorrow!!

12. Ms. Kerr needs $450 to purchase new volleyballs. She has already saved 65% of the money, how much
additional money does she need to save to have enough to purchase the equipment?

13. A 6th grade student is 5 feet tall and casts a 12 foot shadow. How tall is the 8th grader standing next to
him that casts a 14.4 foot shadow?

Answers

Answer:

12-157.5  13-6ft

Step-by-step explanation:

the first one just look up 65% of 450 and minus the number you get by 450

the second one do the butterfly method

[tex]\frac{5}{12} \frac{x}{14.4} \\[/tex]

the heights on top and shadows on bottom

12x=72

x=6

Laura wants to play a game in which each player gets 4 cards. She has a total of 29 cards. How many people can play? How many cards will be remaining?​

Answers

Answer:

Only 7 people can play and 1 card will remain

Step-by-step explanation:

Answer:

7 people can play

Step-by-step explanation:

there will be 1 card remaining

PLZ Mark Brainliest

Can someone explain this to me? No Links no bots.

Answers

Answer:

Domain and Range. The domain of a function is the set of values that we are allowed to plug into our function. This set is the  values in a function such as ). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an  value in.

Step-by-step explanation:

Owen had 8,452 books donated to our school. If he shares with with 23 classes about how many books does each class get? Again assesment due tom :,)

Answers

Answer:

327.5

Step-by-step explanation:

8452/23 = 327.478

Round to about 327.5 books per class

Answer:

each class gets 367 books


Select the correct answer.

The difference of half a number and its reciprocal is represented by this expression.

Which expression also represents the difference?

Answers

Answer:

b

Step-by-step explanation:

mark me as brainliest pls

The expression which shows the difference is (n² - 2)/2n, the correct option is B.

What is an Expression?

An expression is a mathematical statement which consists of variables, constants and mathematical operators.

The difference of half a number and its reciprocal is represented by this expression.

(n/2) - (1/n)

On solving

(n² - 2)/2n

To know more about Expression

https://brainly.com/question/14083225

#SPJ2

Is this graph misleading?
People of different ages were asked the question "Do
you listen to audiobooks?" The bar graph below
displays the percentage of "yes" responses for
different age groups.
O No, because the bars are all the same width.
O No, because the scale starts at 0.
O Yes, because the bars are not the same height.
O Yes, because the scale does not start at 0.
Audiobook Listeners
0.50
0.40
0.30
Relative Frequency
0.20
0.10
13-17
18-25
36-45
Over 45
26-35
Age

Answers

Answer:

D. Yes, because the scale does not start at 0.

Step-by-step explanation:

I'm not exactly sure how to do this. I know how you would graph it but I don't know the transformation.

Answers

Answer:

Its D.

Step-by-step explanation:

The 3 as the exponent makes it cubic and since the x+1 is in parenthesis you would move it 1 unit to the left

Suppose that a box contains one fair coin (Heads and Tails are equally likely) and one coin with Heads on each side. Suppose further that someone else selects one of the two coins at random, tosses it three times, and gets the outcome {Heads, Heads, Heads}. In this problem, you will answer the following question in several parts: What is the probability that the chosen coin was the fair coin

Answers

Using conditional probability, it is found that there is a 0.1 = 10% probability that the chosen coin was the fair coin.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: Three heads.Event B: Fair coin.

The probability associated with 3 heads are:

[tex]0.5^3 = 0.125[/tex] out of 0.5(fair coin).1 out of 0.5(biased).

Hence:

[tex]P(A) = 0.125 + 0.5 = 0.625[/tex]

The probability of 3 heads and the fair coin is:

[tex]P(A \cap B) = 0.5(0.125) = 0.0625[/tex]

Then, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0625}{0.625} = 0.1[/tex]

0.1 = 10% probability that the chosen coin was the fair coin.

A similar problem is given at https://brainly.com/question/14398287

if 3/ 4 part of the total number of students in a class are girls how much percent are boys ​

Answers

Answer:

1

Step-by-step explanation: because 3 are girls and 3 + 1 equals 4 its 1

Answer:

1/4 or 25% are boys

Step-by-step explanation:

3/4 + 1/4 = 4/4

75% + 25% = 100%

What is the slope between the points (-2, 3) and (1, 0)

Answers

you’re going to use the formula: y2-y1/x2-x1
plug that in: 0 - 3/-1 - 2 = -3/-3 or 1

10 feet long and 5 feet wide. What is its area?

Answers

Answer:

50 square feet

Step-by-step explanation:

Length x width

Answer:

50

Step-by-step explanation:

10 times 5 = 50

I really need help asap please!

Answers

Answer:

49

Step-by-step explanation:

the line joined by midpoints of sides is called midsection

which is parallel to the third side and is half its length

so (5x - 26) * 2 = 9x - 37

10x - 52 = 9x - 37

x = 52 - 37

x = 15

so PQ is 5x - 26

= 5*15 - 26

= 75 - 26

= 49

Match each linear equation to its slope and y-intercept.
slope:2, y-intercept:
-3+5y = 4
slope:2, y-intercept: 2
5y-1 =15
slope:$, y-intercept:
2y-3.1 = 7
slope:6, y-intercept: 3
2y=5T+7
slope:-5, y-intercept: 5

Answers

Answer:

-x + 5y = 4

5y = x + 4

y = x/5 + 4/5

Slope: 1/5

Y-intercept: 4/5

5y - x = 15

5y = x + 15

y = x/5 + 3

Slope: 1/5

Y-intercept: 3

2y - 3x = 7

2y = 3x + 7

y = 3/2x + 7/2

Slope: 3/2

Y-intercept: 7/2

2y = 5x + 7

y = 5/2x + 7/2

Slope: 5/2

Y-intercept: 7/2

Find the measure of angle x in the figure.

Answers

Answer:

8

Step-by-step explanation:

We know that angles in a triangle add up to 180, so:

5x-60+2x+40+3x-80=180

Simplify

10x-100=180

Solve

Subtract 100 from both sides

10x=80

Divide 80 by 10 to find x

x=8

I mode
Simplify the expression.
2(8 + 24) = 23 x 4
X
X
ngles.
How do you simplify this?

Answers

Answer:

okay so IM not 100 percent sure but I think its 64 = 92

Write the slope-intercept form of the line with the given slope and point. m=4; (2,3)

Answers

Answer:

y=4x-5

Step-by-step explanation:

the slope-intercept form of the line would be y = 4x - 5

hope this helps!! ❤️

When can you write ratios as fractions?

Answers

Yes I ca-n YOU eritemul raționale as
Given a ratio of two integers, write it as a fraction
Given a ratio of two decimals, write it as a fraction
Given a ratio of two mixed numbers, write it as a fraction

a square table has am area of 15476cm^2 find the perimeter of the square​

Answers

Answer:

497.6 cm to 1 decimal place.

Step-by-step explanation:

→ Square root the area to find the length

√15476 = 124.4025723

→ Multiply the answer by 4 to get the perimeter

124.4025723 × 4 = 497.6102893

Answer:

497.6 cm

Step-by-step explanation:

Perimeter = 4 x a

Since area is given we must square root a

P = 4 x square root ([tex]\sqrt{15476}[/tex])

P = 4 x (124.40)

P = 497.6 cm

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