Matthew visited the fruits garden last weekend and helped farmers count the fruits. There were 10% more dragon fruits than passion fruits. When 75 fruits were added, the dragon fruits were increased by 60% and the passion fruits increased by 9%. How many fruits were there at first?

Answers

Answer 1

Answer:

Step-by-step explanation:

let number of passion fruits=x

number of dragon fruits=x+10% of x

=x+0.1 x=(1+0.1)x=1.1 x

total number of fruits=x+1.1 x=(1+1.1)x=2.1 x

1.1x+60% of 1.1x+x+9% of x=2.1x+75

1.1 x+0.6 of 1.1 x+x+0.09 of x=2.1x+75

1.1x+0.66 x+x+0.09 of x =2.1x+75

2.1 x+0.75x-2.1 x=75

0.75 x=75

[tex]\frac{75}{100}x =75\\x=75 \times \frac{100}{75} =100\\Originally ~total ~number~ of~ fruits=2.1x=2.1 \times100=210[/tex]

Answer 2

Answer:

Step-by-step explanation:

let number of passion fruits=xnumber of dragon fruits=x+10% of x=x+0.1 x=(1+0.1)x=1.1 xtotal number of fruits=x+1.1 x=(1+1.1)x=2.1 x1.1x+60% of 1.1x+x+9% of x=2.1x+751.1 x+0.6 of 1.1 x+x+0.09 of x=2.1x+751.1x+0.66 x+x+0.09 of x =2.1x+752.1 x+0.75x-2.1 x=750.75 x=75


Related Questions

PLEASE HELP!!!!!
The cost of 10 cupcakes at a cake stand is $40. Which graph shows the cost of different numbers of cupcakes at the cake stand?

Answers

40/10=4

Therefore: 1 cupcake costs 4 dollars
It’s 4,
When trying to find out how much one thing is from a group ex: ur question.
You want to divide your first price (40) by the number of items (10) which equals 4
40/10=4

PLS ANSWER ASAP- THIS IS A 7th GRADE QUESTION AND IF UR ANSWER IS THE FIRST AND CORRECT, I WILL MARK BRAINLIEST

Answers

Answer:

x = 6

Explanation:

scale factor × original dimension = dilated dimension

inserting values:

0.25 × x = 1.5

0.25x = 1.5

x = 1.5/0.25

x = 6

X= 6
The scale factor is the scale between two objects,
The scale factor is 0.25
1.5 divided by 0.25 equals 6

Therefore x equals 6


What is the perimeter of a square with a side length of 46 mm?

A. 50 mm B. 100 mm C. 184 mm D. 230 mm

Answers

Answer:

C: 184 mm

Step-by-step explanation:

46*4 = 184

Answer is c 184mm

46x4

How to Calculate Amortization? 2 page is just info need help on 1 page

Answers

20?

Step-by-step explanation:

edg.e

20! (Sorry if im wrong)

5, minus, start fraction, t, divided by, 3, end fraction when t=12

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow Final \:\:Value = 1\: [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The statement can be represented as :

[tex]\qquad \tt \rightarrow \: 5 - \dfrac{t}{3} [/tex]

[ for t = 12 ]

[tex]\qquad \tt \rightarrow \: 5 - \dfrac{12}{3} [/tex]

[tex]\qquad \tt \rightarrow \: 5 - 4[/tex]

[tex]\qquad \tt \rightarrow \: 1[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The answer is this is 1

HELP FAST!
Which of the following volume measurements is the best estimate for the
figure above? Round each measurement to the nearest whole number to get
your estimate
A. 324 in3
B. 216 in3
C. 360 in3
D. 300 in3

Answers

Answer:

c. 360 in^3

Step-by-step explanation:

1st you will want to round the decimals to the nearst whole number

2.7 is 3

and

9.8 is 10

2nd now that you rounded the decimal lengths you can multiply

12x3x10=360in^3

A, 324 in^3 because if u multiply all three then the closest answer is 324

Please help! I'm like 3 months behind and am trying to crunch in some school, please be fast!!!!

Answers

Answer:

the second option from the top is correct. (the one with the dot on -4)

Step-by-step explanation:

d/-2 + 5 = 7

d/-2 = 7 - 5

d/-2 = 2

d = 2 * -2

d = -4

Answer:

Option 2, d = -4

Step-by-step explanation:

d/-2 + 5 = 7 (subtract 5 from both sides)

d/-2 = 2 (multiply by -2 to both sides)

d = -4

Option 2 is correct.

Brainliest, please :)

Which equations have a greater unit rate than the rate represented in the table? x y 3 2 6 4 9 6

Answers

Answer:

Any equation with a slope greater than ²/₃

Step-by-step explanation:

Given table:

[tex]\begin{array}{| c | c |}\cline{1-2} x & y \\\cline{1-2} 3 & 2 \\\cline{1-2} 6 & 4 \\\cline{1-2} 9 & 6 \\\cline{1-2} \end{array}[/tex]

The unit rate is a ratio that compares the first quantity to one unit of the second quantity.  The unit rate is also the slope of a linear equation.

Linear equation

[tex]y = mx + b[/tex]

where:

m is the slopeb is the y-intercept

To find the slope, take two ordered pairs from the table:

[tex]\sf let \: (x_1,y_1)=(3,2)[/tex]

[tex]\sf let \: (x_2,y_2)=(6,4)[/tex]

Substitute them into the slope equation:

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-2}{6-3}=\dfrac{2}{3}[/tex]

Therefore, the unit rate is ²/₃.

Any equation with a slope greater than ²/₃ is an equation with a greater unit rate than that represented in the given table.

Slope of table

(3,2)(6,4)

Slope

m=4-2/6-3m=2/3

Any equation having slope greater than 2/3 has higher unit rate than that of table

how do i find the LCD? ( Lowest Common Denominator )

Answers

Answer:

First for example let's say

3 and 15

your going to doing what you do normally for gcf but then make an l and times it if that makes sense

Step-by-step explanation:

To find the Lowest Common Denominator, or LCD, you would start by listing the multiples of two numbers. From there, you would find the smallest integer of the two that are the same. That would be your lowest common denominator because it’s the lowest number that the two given denominators have in common. For example, let’s take the numbers 2 and 5:

Multiples of 2:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50

The two numbers common in the multiples seen above are 10 and 20, because they are multiples of both 2 and 5. However, 10 is less than 20, which would render it to be the lowest common denominator. In cases like this, the lowest integer (the number closest to 0) will always be the LCD.

If you have any further questions, I am open for discussion. Have a nice day!

Using a directrix of y = −2 and a focus of (2, 6), what quadratic function is created?
here are the answers given
\/
f(x) = −one eighth (x − 2)2 − 2
f(x) = one sixteenth (x − 2)2 + 2
f(x) = one eighth (x − 2)2 − 2
f(x) = −one sixteenth (x + 2)2 − 2

Answers

Answer:

f(x)=1/16(x-2)^2+2

Step-by-step explanation:

The Equation can be written like this:

f(x) = 1/(4p)(x -h)^2 +(k-p)

where (h, k) is the focus, and p is half the distance between focus and directrix. Here, (h, k) = (2, 6) and p=(6-(-2))/2 = 4. So the equation is ...

 f(x) = 1/16(x -2)^2 +2

I need help for my question please

Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question. There are 15 questions on the test and the students have been given 55 minutes to complete it.
Which value could replace x in the table?
__________________________________________________________________
7 – m
23 – m
8(15 – m)
8(15) – m

Answers

The answer is (c) if you need more answers I got you
C is the answer hope it helps

Repost 8th grade 50 POINTS+BRAINLIEST: How do you graph a quadratic equation in vertex form when the equation is a perfect square? Use x² -4x+4 as an example

Answers

Answer: Vertex : Maximum (2, 0)

Rules:

(x + d)² = x² + 2dx + d²    and   (x - d)² = x² - 2dx + d²x² + 2dx = (x + d)² - d²   and  x² - 2dx = (x - d)² - d²

Solve:

x² - 4x + 4

x² - 2(2x) + 2²

(x - 2)²

Into vertex form: a(x - h)² + k

1(x - 2)² + 0

Identify:

vertex : (h, k) = (2, 0)

Find additional things, to graph the equation:

(i) x-intercept: (2, 0)

(ii) y-intercept: (0, 4)

Graph shown:

1(x-2)^2+0 is the vertex form

please help!!!!!!!!!!!!!!!!!!!!!!

Answers

Add 7 on both sides then multiply by 2 to isolate m, and you should get m=4, so the answer is

the last option.

Hope this helped :)

The last one because m/-2= 4/-2=-2-7 which would equal -9 cause negative and negative equals to negative

Please help 5 points each but beware if you use my points for no reason I'll report you

Answers

Answer:

v=⅓×6×9=18cm² hope it helps

Answer:

The answer is 18

Step-by-step explanation:

If the volume of a pyramid is 1/3 of the value base times height, and we have the measurements of the base and the height, then we fill in the equation like this:

1/3 [6 x 9] = volume

1/3 [54] = volume

18 = volume

The volume is 18

graph y=4x-9
(just give me the coordinates)

Answers

Answer:

use desmos

Step-by-step explanation:

just type it in for easiest answer

4x-9 is the coordinates for the answer

Cycle City charges an initial price of $15 plus $0.75 per house for bike rentals, which is represented by the expression 15 + 0.75h .
Complete the statement to describe the terms...

Answers

Answer: see below

Step-by-step explanation:

h represents the number of houses. How i know this:

(1) the question states that each house costs $0.75. So 0.75h means 0.75 times a number of houses.

(2) h is used because houses starts with h. Also, h can't represent bikes because the "bikes" only appears in 1 number and doesn't have anything per bike. It only appears once.

15 represents the initial price of bike rentals.

- It says in the question, "Cycle City charges an initial price of $15 plus $0.75 per house for bike rentals". All of the information related to what 15 stands for is underlined. "Initial price" means a 1 time price that doesn't repeat. the 0.75 repeats based on how many houses you get.

0.75h represents the total cost for any number of houses.

(1) The question says "$0.75 per house" which means that each house costs 0.75. The h next to the 0.75 only means a number of houses. Whenever you see "something per something", expect the first letter of the 2nd word to be placed after the number.

If it doesn't make sense, let's say that h=1. In other words, we are buying 1 house. 0.75h means 0.75xh, so 0.75x1= 0.75. It's true. 1 house costs 0.75. You can also do 0.75x2, 0.75x3, and so on.

I hope i could help :)))

Answer:

Step-by-step explanation:

h= number of houses

0.75= cost per house

15= the initial price (price first paid)

8th grade word problem!! 100 POINTS+BRAINLIEST: just write out the steps and explain in simple language :)) Answers for the sake of points will be reported

Answers

(i) Equation :  y = 6.25x + 65

(ii) Price of each ticket : $6.25

(iii) Money originally in the box : $65

Explanation:

Here from table, identify the coordinates given.

Coordinates:

(7, 108.75)(13, 146.25)(18, 177.50)

Find slope:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

[tex]\rightarrow \sf slope \ (m) : \dfrac{146.25-108.75}{13-7} = 6.25[/tex]

Slope is also the price of each ticket which is $6.25

Equation:

[tex]\sf y - y_1 = m(x - x_1)[/tex]

[tex]\rightarrow \sf y - 108.75 = 6.25(x - 7)[/tex]

[tex]\rightarrow \sf y - 108.75 = 6.25x - 43.75[/tex]

[tex]\rightarrow \sf y = 6.25x - 43.75 + 108.75[/tex]

[tex]\rightarrow \sf y = 6.25x +65[/tex]

To find the amount of money in the box originally, insert x which represents number of tickets sold as 0.

Originally amount of money:

[tex]\rightarrow \sf y = 6.25(0) +65[/tex]

[tex]\rightarrow \sf y = 65[/tex]

Hence, there were $65 in the box before any tickets were sold.

Number 1 is the answer

Jordan is using a number line to model the division expression Negative 24 divided by 12. What should be a step in his work?

Answers

The answer to this is: Draw a chain of bounces to the left, 12 units wide, starting at 0 and ending at -24.
This is because when you want to represent division in a number line you must always start from the zero count divisor until you reach the dividend.
Jordan is using a number line to model the division expression Negative 24 divided by 12. What should be a step in his work? Draw a chain of bounces to the right, 12 units wide, starting at –24 and ending at 12. Draw a chain of bounces to the left, 12 units wide, starting at 0 and ending at –24. Draw a chain of bounces to the right, 12 units wide, starting at 0 and ending at 24. Draw a chain of bounces to the left, 12 units wide, starting at 24 and ending at 0.

The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:

Ana read 15% of her 46-page book.
Hillary read 11% of her 72-page book.
Roger read 12% of his 68-page book.
Juan read 14% of his 69-page book.

Who can read the greatest number of pages in a day?

Ana
Hillary
Roger
Juan

Answers

Ana: 0.15(46) = 6.9 pages per day

Hillary: 0.11(72) = 7.92 pages per day

Roger: 0.12(68) = 8.16 pages per day

Juan: 0.14 (69) = 9.66 pages per day

Ans•

Answer: Juan

Step-by-step explanation:

Step 1: Find how many pages each person read.

ANA

15% of her 46 page book

Whenever you have something% OF something, you just turn the 'of' into a multiplication sign.

15% x 46

Next, turn 15% into a decimal. There are 3 ways to do this. (1. put a decimal point right before the number (2. move it 2 places to the right, (3. just divide by 100. Either way, 15% becomes 0.15

0.15x46= 6.9

Ana can read 6.9 pages in a day.

HILARY

11% of a 72 page book

Same method I used for Ana. turn "of" into multiplication, convert the percentage to a fraction by moving the point 2 places left, and multiply.

**11 is the same as 11.0, which becomes 0.11.**

11% x 72

0.11x72= 7.92

Hilary can read 7.92 pages in a day.

ROGER

12% of 68 pages

of becomes multiply

12% becomes 0.12 because 12 is the same as 12.0, and you move 12 2 places to the left.

now we have 0.12x68= 8.16

JUAN

14% of 69 pages

of becomes multiply, 14 is the same as 14.0, move it 2 places to the left and it becomes 0.14. boom.

0.14x69= 9.66

Juan can read 9.66 pages in a day.

Step 2: Line up all of the numbers and find the biggest one.

Ana: 6.9 pages per day

Hilary: 7.92 pages per day

Roger: 8.16 pages per day

Juan: 9.66 pages per day

9.66 is the greatest number.

Juan can read the most pages per day

Hope this helps :)

Pls answer the question 15 points

Answers

Answer:

V≈256

Step-by-step explanation:

Given the radius = 4 cm, you can use the formula and come up with the following,

[tex]V=4/3*3*4^3=4/3*64*3 =256*3 /3=256[/tex]≈

Answer:

V=256 cm^3

Step-by-step explanation:

please help 8 points each but beware if you use my points for no reason I'll report you

Answers

Answer:

V = 32

Step-by-step explanation:

Comment

I think you should try this one yourself after I post my answer. Estimation is a very valuable tool -- the more you use it, the handier it gets.

Formulas

pi = 3

V = 4/3 * pi * r^3

Givens

r = 2

pi = 3

Solution

V  = 4/3 * pi * r^3                     Substitute values for symbols

V = 4/3 * 3 * 2^3                      Cancel the 3s

V = 4 * 2^3                               Expand the 2s

V = 4 * 2 * 2 * 2                       Find V

V = 32

Explanation -:

In this question we are provided with the radius of a sphere. We are asked to calculate the volume of the sphere.

[tex] \large \: \star\small\boxed{ \rm{ Volume_{(sphere)} = \dfrac{4}{3} × π × r³}}[/tex]

Where,

r stand for radius.Assuming π as 3.

[tex] \small\sf{ Volume_{(sphere)} = \dfrac{4}{3} × 3 × 2³}[/tex]

[tex] \rightarrow \small\sf{ Volume_{(sphere)} = \dfrac{4}{ \cancel{3}} × \cancel {3} × 8} [/tex]

[tex] \rightarrow \small\sf{ Volume_{(sphere)} = 4 \times 8 = 32}[/tex]

[tex] \bull \: \small \underline{ \boxed{\sf{ Volume_{(sphere)} = 32 {cm}^{3} }}}[/tex]

CORRecT ANSWERS ONLY. What is the value of x?

Answers

Answer:

x =5.25

Step-by-step explanation:

Comment

So you want to find x? If the scale factor is 1.75 it means that you multiply whatever dimension on Figure A by 1.75 to get the corresponding dimension on B.

Formula

x = 1.75 * 3

Solution

x = 1.75 *  3

x = 5.25

X=5.25

Trust me I did this problem and I got it correct

*HELP* NEED IT TODAY RIGHT NOW*

order the following numbers from least to greatest.

Answers

Answer:

cube root 64, 4.2, sqrt 19

Step-by-step explanation:

cube root of 64 = 4

sqrt 19 = 4.3

Cube root 64, 4.2, square root 19

1
Drag each tile to the correct box.
Order the expressions from least value to greatest value.
-4.8×3.2
2+(-1)
V
4.32
-3
-2-(-1)
<


Answers

Answer: -15.36, -1.44, 0.85, 4

Step-by-step explanation:

Step 1: Evaluate (solve) all of the expressions (equations)

#1: -4.8x3.2= -15.36

#2: 2 1/4+ -1 2/5

2 1/4= 2.25

-1 2/5= -1.4

2.25+-1.4

*Whenever you have a +- something, it always becomes -

2.25 - 1.4= 0.85

#3: 4.32÷-3= -1.44

#4: -2 3/5 - -12/5

2 3/5= 2.6

-1 2/5= -1.4

2.6 - -1.4

*Whenever you have 2 minuses like - -, it always becomes a +.

So 2.6 - -1.4 becomes 2.6+1.4

2.6+1.4= 4

Step 2: List from least to greatest.

Okay so the numbers we have are:

-15.36, 0.85, -1.44, 4

The least number is the one farthest away from 0. This number would be -15.36, because, here's a rule to remember:

The "bigger" the negative number looks, the smaller it actualy is beacuse it is farther away from 0. For example, -29 is smaller than -1 even though it looks bigger because -29 is farther from 0. If it were positive numbers, 29 would definitely be greater though.So -15.36 is the smallest or the least.

Next, you see that -1.44 is the next in line because its the only remaining negative number and it has to be smaller than the others, which are positive.

3rd of all, i know that 0.85 comes next on the list because it is smaller than 4. It is still above 0, making it positive.

Finally, 4 is the greatest. It's bigger than 0.85, which obviously is less than 1.  Now here's the list of numbers from least--> greatest:

-15.36, -1.44, 0.85, 4

Now all you have to do is put these numbers into the boxes in order. If it doesn't make sense, try putting the first 2 numbers into the first 2 boxes. By doing this you get -15.36<-1.44, which is a true statment. If you want to go further, put 0.85 in the 3rd bubble to get -1.44<0.85 which is also true. Finally, when you put 4 in the last bubble, you get 0.85<4, which is true. That's how i know my answer is correct.

Hope this helps :))

Need help with this, explaining how to do it would be very much appreciated. Thanks :)

Answers

A



Exactly one solution

Answer:

Solution: There is exactly one solution, the lines intercept at one point, they are not the same line, so they do not have infinite solutions, and if they were to not intercept, they would have no solution.

Step-by-step explanation:

Set the equations equal

-2x-4=3x+3
     +4      +4

-2x=3x+7

-3x  -3x

-5x=7

/-5

x=-7/5

Plug x back into one of the equations

y=-2(-7/5)-4

y=-6/5

Find the surface area of the regular hexagonal prism.

Answers

Answer:

2ah + 3√3a, 2,

use this formula^

You'll get the answer

133.3

Answer:

25.5

Step-by-step explanation:

i passed

4.2v - 5 - 6.5v
simplify the expression

Answers

If you subtract 6.5v from 4.2v it will be -2.3v-5 so the answer is -2.3v-5
5-2.3v because you combine like terms

how much is 10 cents +6 dimes + 5 cents equal?
is it equal to a dollar?​

Answers

Answer:

75 ¢

Step-by-step explanation:

10 cents +6 dimes + 5 cents equals  75 cents   or   3/4 of a dollar

Its 85 cents, it doesn’t equal a dollar

HELP I WILL GIVE BRAINLIEST

Answers

Answer: There are 24 frames of animation in 1 second of anime.

Step-by-step explanation:

There are 60 seconds in 1 minute, and 60 minutes in 1 hour. 60×60=3600, so there are 3600 seconds in 1 hour.

Since 3600 seconds and 1 hour is the same, there are 86400 frames of animation in 3600 seconds of anime. To find out how many frames are in one second of anime, divide 86400 by 3600.

86400 ÷ 3600 = 24

There are 24 frames of animation in 1 second of anime.

A box measures 1/4 ft. long, 1/6 ft. wide, and 1/3 ft. high. Find the volume of the
box in inches. Do not include units in your answer.

Answers

Answer: 24

Steps:
1/4ft=3in
1/6ft=2in
1/3ft=4in

V=l*w^h

3(2)=6

6*4=24
V=LxW
The Answer is 24.
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