Problem number 26 of the Rhind Papyrus says: Find a quantity such that when it is added to StartFraction 1 Over 4 EndFraction of itself the result is a 15. The modern day equation that models this problem is x plus StartFraction 1 over 4 EndFraction x equals 15.. What is the solution to the equation? x = 10 x = 12 x = 15 x = 30

Answers

Answer 1

Answer:

[tex] x = 12 [/tex]

Step-by-step explanation:

x = the quantity to find

This quantity added to ¼ of itself gives 15.

Thus, this problem can be represented as given above:

[tex] x + \frac{1}{4}x = 15 [/tex]

Solve for x

[tex] x + \frac{x}{4} = 15 [/tex]

[tex] \frac{4x + x}{4} = 15 [/tex]

[tex] \frac{5x}{4} = 15 [/tex]

Multiply both sides by 4

[tex] \frac{5x}{4}*4 = 15*4 [/tex]

[tex] 5x = 60 [/tex]

Divide both sides by 5

[tex] \frac{5x}{5} = \frac{60}{5} [/tex]

[tex] x = 12 [/tex]

Answer 2

Answer:

B

Step-by-step explanation:

2020 edge


Related Questions

What is Three-fourths divided by one-sixth? A fraction bar labeled 1. Under the 1 are 4 boxes containing one-fourth. Under the 4 boxes are 6 boxes containing one-sixth. Under the 6 boxes are 12 boxes containing StartFraction 1 Over 12 EndFraction. 3 4 4 and StartFraction 1 Over 12 EndFraction 4 and one-half

Answers

Answer:

4 and one-half

Step-by-step explanation:

Given the expression (3/4)÷(1/6), we are to simplify it. See the workings below;

(3/4)÷(1/6)

= 3/4 × 6/1

= (3×6)/4

= 18/4

= 9/2

Write as a mixed fraction

= 4 1/2

Hence the correct answer is 4 and one-half

Answer:

D

Step-by-step explanation:

A survey asked 200 people which sports they play regularly. It revealed that
30 played tennis,
25 played golf,
40 played softball,
10 played tennis and golf,
20 played tennis and softball,
15 played golf and softball,
and 8 played all three sports.

How many of those surveyed played golf or softball?

Answers

Answer:

15

Step-by-step explanation:

Five more than four times a number

Answers

Answer: 4x +5

Step-by-step explanation:

5+4n

If a problem says “(five) more than” that means your adding.

“(four) times” means your multiplying.

“a number” is your variable.

your answer would be 5+4n. *n* being a number.

Which equation fits the situation? Mikes test score was 20 points lower than marks if mark scored a 95 on the test which equation would give mike’s score

Answers

Answer:

95 - 20 = t

Step-by-step explanation:

Let's start with the facts. You know that Mike's test score is 20 points lower than Mark's. You know that Mark's score was 95.

If we are trying to find Mike's test score, t, the equation would be this:

The equation would be 95 - 20 = t

I hope this helps :)

Three members of a teen hiking group hiked 3 5 of the entire Appalachian trail. The hikers took turns carrying a backpack of supplies. If each teen carried the backpack the same distance, what part of the total distance did each hiker carry the backpack? In this problem, the numerator is the same number as the . So the answer will be a . Each hiker carried the backpack for of the total trail distance.

Answers

Answer:

divisor,unit fraction,1/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

i need help with this equation can someone please help me

Answers

Answer:

d= 24

Step-by-step explanation:

-2= d/3 - 10

-6= d-30

-d=-30+6

-d= -24

d= 24

which number is bigger than the other? -0.75 or -5/4!! Please help!

Answers

Answer:

-0.75

Step-by-step explanation:

-0.75 or -5/4

-0.75 or -1.25

-0.75 is bigger because it has a greater value.... it is closer to zero, on a number line.


Is 285 as a perfect square

Answers

Answer:

no

Step-by-step explanation:

the square root of 285 is not a whole number. 285 is not a perfect square.

Answer:

No , it is not a perfect square number of any numbers..

mark BRAINLIEST

Thank you ☺️☺️☺️

HELP ME PLEASE FAST​

Answers

Answer:

3. x=4   4. x= 2

Step-by-step explanation:

just trust me

Multiply and simplify the product.
–12i × 3i

Answers

Answer:

36

Step-by-step explanation:

After school one night, I had to stop at the local office supply store and pick up a few items. I bought 2 packages of page dividers. They each cost $3.79. I bought one package of Post-It Tabs that cost $6.79. Finally, I bought a large binder for $11.99. Sales tax was 7.5% and I paid with a 50 dollar bill. How much change did I receive?

Answers

Answer:

$21.66

Step-by-step explanation:

Add up all of the costs

3.79 + 3.79 + 6.79 + 11.99 = 26.36

Then multiply by the sales tax

26.36 x 7.5% = 1.98

Add the total cost and the tax

26.36 + 1.98 = 28.34

Subtract 28.34 from 50

50 - 28.34 = 21.66

That is how much change you recieve after your purchase.

Your friend spent $7 in two days on lunch. He says that
he will need $21 for 6 days to spend on lunch. Is your
friend correct? Explain your reasoning.

Answers

Answer:

Yes

Step-by-step explanation:

Because he spent 3.50 in those two days and he will spend 3.50 in 6 days. 3.50×6= 21.

I really need help with this one

Answers

Answer:

28

Step-by-step explanation:

Since B is the midpoint of AC, that means AB = BC. That means 3x+4 = 5x-6. We can now set up an equation to solve for x:

3x+4 = 5x-6

3x+10 = 5x

10 = 2x

x = 5

Now that we know what x is, we can just plug x into the expression of AB and multiply it by 2:

(3*(5)+4)*2

=(15+4)*2

=19*2

=28

(side note: we could have plugged x into the expression of BC as well, but in this case plugging it into AB tends to be easier to solve)

Therefore, the length of AC is 28.

given: y is the midpoint of XZ
prove: XY 1/2XZ​

Answers

Given:

Y is the midpoint of XZ.

To prove:

[tex]XY=\dfrac{1}{2}XZ[/tex]

Proof:

It is given that Y is the midpoint of XZ. It means Y divides the line segment XZ in two equal parts XY and YZ.

[tex]XY=YZ[/tex]            ...(i)

Point Y lines on the segment XZ, so by segment addition theorem, we get

[tex]XY+YZ=XZ[/tex]

[tex]XY+XY=XZ[/tex]               [tex][Using (i)][/tex]

[tex]2XY=XZ[/tex]

Divide both sides by 2.

[tex]XY=\dfrac{1}{2}XZ[/tex]

Hence proved.

Help me o my I think I’m going to cry so please help

Answers

Answer:

The final answer in the most simplest form is 3/32

Step-by-step explanation:

3/8(3/4+5/6)-1/2

3/8( 38/24)-1/2

114/192-1/2=36/184

Divide by 12 for the 36 and 184

the final answer should be 3/32

a sno-cone machine priced at 139$ is on sale for 20% off , the sale tax is 10

Answers

Answer:

The overall price would be 125.1

Step-by-step explanation:

The sales tax is $13.90

the sale takes off $27.8

So 139 - 27.8 + 13.9 is 125.1

pls rate my answer

14^7/14^2 simplify expression

Answers

Answer:

537824

Step-by-step explanation:

[tex]14^{7}[/tex]/ [tex]14^{2}[/tex]

[tex]14^{7}[/tex] = 105413504

[tex]14^{2}[/tex] = 196

105413504 / 196

537824

How do you know whether two quantities x and y are proportional? Every ratio yx for related pairs of x and y is equivalent. Every sum x + y is the same for related pairs of x and y. Every x term is a multiple of the previous term. Every difference x – y is the same for related pairs of x and

Answers

Answer:

Two quantities x and y are said to be proportional if ratio yx for related pairs of x and y is equivalent.

Step-by-step explanation:

Two quantities x and y are said to be proportional if ratio [tex]yx[/tex] for related pairs of [tex]x[/tex] and y is equivalent.

The symbol ∝ is used to denote the proportionality. For example, if [tex]x[/tex] is proportional to y, then it is represented as [tex]x[/tex]∝y and if [tex]x[/tex] is inversely proportional to y, then it is represented as [tex]x[/tex] ∝ 1/y

Max Quimby picks Raspberries for his grandmother every Tuesday during 2 points
the summer. She pays him $0.75 per quart. If he were able to pick 93
quarts how much he be paid?

Answers

Answer:

Would be paid $69.75

Step-by-step explanation:

Since he is paid $0.75 per quart, and he has picked up 93 quarts, you would multiply 0.75 by 93. Which would give you $69.75.

Solve for x.
Зxy = W

Answers

Answer:

[tex]\huge\boxed{x=\frac{W}{3y}}[/tex]

Step-by-step explanation:

If we have the equation [tex]3xy=W[/tex] and we want to solve for x, our goal is to isolate x one one side of the equation.

The question we have to ask ourself is ”What’s stopping x from being isolated?”

That would be the 3 and the y.

Since we’re multiplying x by the 3 and the y, we can divide both sides by the 3 and the y to get x isolated.

[tex]3xy \div 3y = w \div 3y[/tex]

[tex]x = \frac{W}{3y}[/tex]

Hope this helped!

please help quickly

Answers

the first option because you multiply both sides,move the constant to the right, calculate,then divide on both sides

A car can travel 80 miles on 4 gallons of gasoline. If the gas tank, which can hold about 15 gallons, is half full, how many miles can the car travel before it runs out gas?

Answers

Answer: 150

Step-by-step explanation: A car can travel 80 miles on 4 gallons of gas if the gas tank can hold about 15 gallons is half full there will be 7.5 gallons of gas in the can so multipy the 80 miles by 1.875, 150


Re-write the standard form equations provided in slope-intercept form
4.5x – 10y = 15

Answers

Y=0.45x-3/2 i think is the answer

Rewrite the expression in the form 3^n.

Answers

Answer: 3^2

Explanation:

Cross off four copies of '3' in both the numerator and denominator. Each pair cancels because 3/3 = 1, and 1 times any number is the same number. See the diagram below.

The numerator will be left with two copies of '3'. The denominator won't have anything left.

So we have 3*3 = 3^2

80/91 + 5/9 plz help

Answers

Answer:

1.43467643468

Step-by-step explanation:

Answer:

I think the answer is 1.44

Step-by-step explanation:

this is a simplified version of 1.43467643

Angelina received two discounts on a $50 pair of shoes. The discounts were taken off one after the other. Her first coupon was 20%. If she paid $30 for the shoes, what was the dollar amount taken off for the first coupon? She received a $____ discount with the first coupon.

Answers

Answer:

$10

Step-by-step explanation:

Because 20% of 50 is 10 so 50-10=40 then 40-30=10

Shona cycles at an average speed of 8km/h. How far has she travelled if she cycles for 4 hours

Answers

Answer:

32km

Step-by-step explanation:

2. Five pigs were weighed daily to regulate caloric
intake before the stock show. The weight
gain/loss for each pig after one week is shown in
the table below.
Pig
Porky
Gumball
Wilbur
Roscoe
Chance
Weight Changes
Weight Gain/Loss (lbs.)
0.17
-1.48
0.10
-1.409
0.07
Which list shows the values in the table from least
to greatest?

Answers

Answer: -1.409, -1.48, 0.007 , 0.10, 0.17


Hope this helps

Factor
• 1/343 x3 - 1/125
• 0.001b3 - 8

- send help •-•'​

Answers

Answer:

[1/7 x - 1/5][(1/49 x²)+(1/35 x)+(1/25)]

(0.1b - 2)[0.01b²+0.2b+4]

Step-by-step explanation:

a³-b³=(a-b)(a²+ab+b²)

So

1/343 x³ - 1/125

[(1/7)x]³ - [1/5]³

[1/7 x - 1/5][(1/7 x)²+(1/7 x)(1/5)+(1/5)²]

[1/7 x - 1/5][(1/49 x²)+(1/35 x)+(1/25)]

And

0.001b3 - 8

(0.1b)³-(2)³

(0.1b - 2)[(0.1b)²+(0.1b)(2)+2²]

(0.1b - 2)[0.01b²+0.2b+4]

A 6 foot tall man makes a shadow that is 3 1/2 feet long. How tall is a building that makes a 14 7/8 foot shadow?
A) 52.06 feet
B) 8.68 feet
C) 25.5 feet
D) 1.41 feet

Answers

C

6/3.5 = 14.875/x

6 x 14.875 = 89.25

89.25/3.5 = 25.5
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