A fruit basket contains oranges and grapefruits. 1/3 of oranges and 1/4 of the grapefruits were spoiled. You threw away 4 oranges and 7 grapefruits. How many pieces of fruit were in the basket before you threw out the spoiled ones?

Answers

Answer 1

Answer:

Below.

Step-by-step explanation:

1/3 is equivalent to 4 oranges so number of oranges = 3 * 4 = 12.

In the same way there are 7 * 4 = 28 grapefruit.

Total pieces of fruit = 12 + 28

= 40.


Related Questions

Be quiet! The teacher (be) angry

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what is this how so i do this

Factorise fully

gcse maths

please help

Answers

Answer:

Step-by-step explanation:

Numbers: HCF of 18 and 30

18: 2 * 3 * 3

30:2 * 3 * 5

HCF: 2 and 3 = 6

a: a * a and a.

HCF = a

b: b

c: c and c*c

HCF: C

Answer: 6*a*b*c(3a + 5*c)

Note: for this question one of the factors is the HCF and the other is what remains when the HCF is taken out.

What is the slope of the line that passes through the points (-9,10 ) and (-6,9 )?

Answers

Answer:

Step-by-step explanation:

(9-10)/(-6 - - 9) = -1/3

Which of the ratios below has a unit rate of 5?

Answers

Answer:

Would you mind including the ratios in the comments?

You didn't post any material to solve.

3. George is at the craft show selling homemade ice cream. He must pay

$45 for a booth rental and costs him $3.50 to make each Ice cream

cone. He sells each ice cream cone for $5.00.

The inequality 45 + 3.50c < 5c represents the situation in which George

makes a profit

a). Will George make a profit if he sells 29 cones? Explain why or why not.

Answers

Answer:

no 146.5 > 145

Step-by-step explanation:

Brahmagupta’s solution to a quadratic equation of the form ax2 bx = c involved only one solution. Which solution would he have found for the equation 3x2 4x = 6? x = x = x = x =.

Answers

Answer:

34

Step-by-step explanation:

Pls help WILL MARK BRAINLY also 34 POINTS

Answers

Answer:

X is 38, y is 27.

Step-by-step explanation:

This is because you are subtracting on the 90 degree angles.

Answer:

The answer is 27 degrees for x, and 38 degrees for y.

Step-by-step explanation:

There are many ways you could do this. The easiest one for me was if you look at the left side of the 180 degree line (CD), you take away 90 (straight angle) from 63, which equals 27 degrees (answer for x). Then, add up all the angles on the left side of the 180 degree line. However, you need to first work out a, which is 180-128=52 degrees. Now you can add them up. 52 degrees (a) plus 27 (m) plus 63 (n) = 142 degrees. Then take away 180 from 142, which equals 39 degrees for y. If you want to check this Add up all your known angle on the left side of the 180 degree line. 52 plus 27 plus 63 plus 38, which equals 180 degrees, which is correct.

The area in square feet of a rectangular field is x^2-80x+1500. the width, in feet, is x-30. what is the length in feet.

Answers

Answer:

Step-by-step explanation:

Area = x² - 80x + 1500

        = x²  -30x - 50x + 1500

       = x(x - 30) - 50(x - 30)

        = (x -30) (x - 50)

Length =(x -50) ft

how to work out 12.5% of a number

Answers

Step-by-step explanation:

12.5÷100 × 5

=0.125×5

=0.625

Simplify the expression 4x^3x2x^3

Answers

8x^4 is the answer
(4×2)x^2x^2
8x^2x^2
8x^2+2= 8x^4


Steve had 1400 pesos. Heloaned 500 pesos to a friend, spent 310 pesos, and received his800 pesos paycheck from work. How much money does he have now?

Answers

Answer:

1390

Step-by-step explanation:

1400- 500= 900 (loaned → deduction→ meaning subtraction)

900- 310 = 590 (spent→ deduction→ meaning subtraction)

590 + 800 = 1390 (received→ gained→ addition)

Graph the triangle with the given vertices. Find the length of the hypotenuse of the triangle. Assume a is a positive number.

X(0,0)

Y(a,2)

Z(a,0)

Answers

X(0,0)Y(a,2)

[tex]\\ \sf\longmapsto XY=\sqrt{x^2+y^2}[/tex]

[tex]\\ \sf\longmapsto XY=\sqrt{a^2+2^2}[/tex]

[tex]\\ \sf\longmapsto XY=\sqrt{a^2+4}[/tex]

[tex]\\ \sf\longmapsto XY=2+a[/tex]

Compound $35.000 is invested at 5% compound interest. What is the interest at the end of three years?​

Answers

Answer:

$40,516.86

Step-by-step explanation:

start by taking 35,000 and multiplying it by 0.05 to get 5% of the number. then add that number (1,750) to the original 35,000 and you should get 36,750. this would be the first year. Then multiply 36,750 by 0.05 again and add that number (1837.5) to the original 36,750 and you should get 38,587.5. Finally multiply that by 0.05 and add that number (1,929.375) to the original 38,587.5 and you should get 40516.875. Round to the hundredths since it is money.

Answer:

A = $40,516.88

Step-by-step explanation:

Assuming that interest is compounded annually:

The AMOUNT will be A = P(1 + r)^2, which here is

                                    A = $35,000(1 + 0.05)^3, or

                                     A = $40,516.88

In the diagram below, \overline{ST} ST is parallel to \overline{PQ} PQ. If STST is 55 more than QTQT, RT=10RT=10, and PQ=15PQ=15, find the length of \overline{QT} QT. Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.PQRTS

Answers

The length of the [tex]\overline{QT}[/tex] can be determined using the given information and

the relationship between corresponding sides of similar triangles.

[tex]\underline{\overline{QT} = 5}[/tex]

Reasons:

The given parameters are;

[tex]\overline{ST} \parallel \overline{PQ}[/tex]

ST = QT + 5

RT = 10

PQ = 15

Required: The length of [tex]\overline{QT}[/tex]

Solution:

Using the relationship between corresponding sides of similar triangles, ΔRST and ΔRPQ, we have;

[tex]\displaystyle \frac{\overline{ST}}{\overline{RT}} = \mathbf{\frac{\overline{PQ}}{\overline{RQ}}}[/tex]

RQ = QT + RT

Therefore;

[tex]\displaystyle \frac{\overline{ST}}{\overline{RT}} = \mathbf{\frac{\overline{PQ}}{\overline{QT} + \overline{RT}}}[/tex]

Which gives;

[tex]\displaystyle \frac{\overline{QT} + 5}{\overline{RT}} = \frac{\overline{PQ}}{\overline{QT} + \overline{RT}}[/tex]

Plugging in the known values gives;

[tex]\displaystyle \frac{\overline{QT} + 5}{10} = \mathbf{\frac{15}{\overline{QT} + 10}}[/tex]

[tex](\overline{QT} + 5) \times (\overline{QT} + 10) = 10 \times 15[/tex]

[tex]\overline{QT}^2 + 10\cdot \overline{QT} + 5\cdot \overline{QT} + 50 = 10 \times 15[/tex]

[tex]\overline{QT}^2 + 15\cdot \overline{QT} + 50 - 150= 0[/tex]

[tex]\mathbf{\overline{QT}^2 + 15\cdot \overline{QT} -100} = 0[/tex]

Factorizing with a graphing calculator gives;

[tex](\overline{QT} -5) \cdot (\overline{QT} + 20)= 0[/tex]

[tex]\mathbf{\overline{QT} = 5} \ or \ \overline{QT} = -20[/tex]

Therefore, given that [tex]\overline{QT}[/tex] is a natural number, we have;

[tex]\underline{\overline{QT} = 5}[/tex]

Learn more about similar triangles here:

https://brainly.com/question/4268470

What is another word for the input values in a proportional table.

a) y-values


b) output values


c) plug in value


d) x-values

Answers

D because the input value is also Known as the X value

What is the slope of the line

Answers

Answer:

2/3

Step-by-step explanation:

rise over run is 2 over 3, and it is positive because the y increases as the x increases!

As Sandra drives, her music player randomly selects music from her playlist. Sandra’s playlist contains:

3 traditional country songs

6 traditional rock songs

4 hip-hop rap songs

5 contemporary country songs'

1 Latin rap song

3 traditional pop songs

What is the probability that the player will select some rap music next?

Answers

Answer:

the probability will be 18.18%

18.18 maybe






aaaaaaaaaaaaaaaaaaaaa

The sum of two consecutive even integers is 122. What are the two numbers?

Answers

Answer:

Let the first number = xTherefore, the other number = x + 2 (x+2 is so as in two consecutive even numbers there is 1 odd number) Now, According to questionx + x + 2 = 1222x + 2 = 1222x = 122-22x = 120x = 120/2x = 60Now, first no. = x = 60Therefore, second no. = x + 2 = 60 + 2 = 62Equation 60 + 62 = 122

Step-by-step explanation:

If you like my answer than please mark me brainliest

Answer:

The numbers are : 60 , 62

Step-by-step explanation:

Let the two consecutive even numbers be 2x , 2x + 2

2x + 2x + 2 = 122

Combine like terms

4x + 2 = 122

Subtract 2 from both sides

4x = 122 - 2

4x = 120

x = 120/4

x = 30

2x = 2*30 = 60

2x + 2 = 2*30 + 2 = 60 + 2 = 62

Identify the point that is not on the line 15x + 60y = 180
a (4,2) c (12, 1)
b (0,3) d (8, 1)

Answers

Answer:

c

Step-by-step explanation:

Substitute the coordinates of the points into the left side of the equation and if equal to the right side then the point lies on the line.

(4, 2 ) → 15(4) + 60(2) = 60 + 120 = 180 ← point on line

(12, 1 ) → 15(12) + 60(1) = 180 + 60 = 240 ← point not on line

(0, 3 ) → 15(0) + 60(3) = 0 + 180 = 180 ← point on line

(8, 1 ) → 15(8) + 60(1) = 120 + 60 = 180 ← point on line

The point (12, 1 ) is not on the line → c

Suzanne has 15 books and will buy 3 more each month. Jack has 57 books and will sell 4 books each month. After how many months will they have the same number of books? How many will that be?

Answers

They would both have the same number of books after 6 months.

The number of books they would have is 33.

This expression can be used to determine the number of books Suzanne would have after x months: 15 + 3x

This expression can be used to determine the number of books Jack would have after x months: 57 - 4x

In order to determine the month in which both people would have the same number of books, equate both expressions.

15 + 3x = 57 - 4x

Combine similar terms

3x + 4x = 57 - 15

7x = 42

Divide both sides b y 7

x = 6

Number of books they would have : 15 + 3(6) = 15 + 18 = 33

A similar question was answered here: https://brainly.com/question/21014980?referrer=searchResults

Solve each proportion.
5/n=6/12

Answers

Answer:

5/n=6/12n = 6/12×5n = 6/60n =1/ 10n = 1:10

A car was traveling at 25 m/s when it slammed on the brakes and came to a complete stop in 3 seconds. What is the cars INITIAL/FINAL VELOCITY?​

Answers

Answer:

Initial velocity = 25 m/s

Final velocity = 0 m/s

Step-by-step explanation:

    Initial velocity is the speed in the beginning and final velocity is the speed in the end.

    The problem says the car was traveling at 25 m/s, so that is the initial velocity. The end of the problem states the car came to a complete stop after 3 seconds. Therefore, the final velocity is 0 m/s.

roots and solution
(polynomial equation)
x3 + 6x2 - x - 30 = 0 ​

Answers

Answer:

hey, can you tell the question again? I've a prob in x, is it a variable or multiplication sign? just lmk this, I think I'm able to do it

Answer:

x=-5;-3;2

Step-by-step explanation:

all the details are in the attached picture (the answers are marked with red colour).

1) to determine the possible roots;

2) to check the possible roots, then to stop when the first one is found (it is 2);

3) to perform division of polynoms, then to re-write the given equation in comfortable form;

4) to calculate other roots.

Note, the suggested solution is not the shortest way and not the only one.

P.S. make the design according local requirements.

Question and answer choices are in the SS attached!!!! Pls help me! ty!

Answers

Answer:

B

Step-by-step explanation:

It's a right triangle, so the pythagorean theorem will be used a lot.

First, find the side length on the left.

25^2 = 7^2 + y

y = 24

Now, knowing that 7 - 3 = 4 (the smaller side length), I can use this theorem again to find x.

4^2 + 24^2 = x^2

x = [tex]\sqrt{592}[/tex]

Just need to simplify it a little farther...

592 / 16 = 37, so B must be the answer.

how do i solve -3x--3+8x-24=6x+7-5x

Answers

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

[tex]-3x--3+8x-24=6x+7-5x[/tex]

Two negative signs equate to a positive sign, so we can write [tex]--3[/tex] as just [tex]3[/tex]:

[tex]-3x+3+8x-24=6x+7-5x[/tex]

Add up similar terms:

[tex]5x-21=x+7[/tex]

Add 21 to both sides:

[tex]5x-21+21=x+7+21[/tex]

[tex]5x=x+28[/tex]

Subtract x from both sides:

[tex]5x-x=x+28-x[/tex]

[tex]4x=28[/tex]

Divide both sides by 4:

[tex]\frac{4x}{x} =\frac{28}{4}[/tex]

[tex]x=7[/tex]

solve for k 5k-2=2k+4

Answers

Answer:

k = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

5k - 2 = 2k + 4

Step 2: Solve for k

[Subtraction Property of Equality] Subtract 2k on both sides:                      3k - 2 = 4[Addition Property of Equality] Add 2 on both sides:                                    3k = 6[Division Property of Equality] Divide 3 on both sides:                                  k = 2

Answer:

k=2

Step-by-step explanation:

5k-2=2k+4

add 2 to both sides

5k=2k+6

subtract 2k to both sides

3k=6

divide both 3k and 6 by 3 to get k by itself

k=2

PLEASE HELP.
WILL GIVE BRAINLIEST!!
ANY WRONG ANSWERS OR LINKS WILL BE REPORTED !!!

Answers

Answer:

b; |-4|<|-5|

Step-by-step explanation:

Absolute value is the distance from zero, so the absolute value of -5 is greater than the the absolute value of -4.

I need help with this :')

Answers

Answer:

Rate of change is 15/2

Step-by-step explanation:

Rate of change is the same as slope of a line.

( y1 - y2 ) / ( x1 - x2 )

( 30 - 15 ) / ( 4 - 2 )

15 / 2

Hopefully this helps!

Brainliest please?

What is 3, 4, 5, 6, and 7.

Answers

3-reflexive
4- angle addition postulate
5-?
6-?
7-

answer the question in the picture

Answers

Answer:

A and D

Step-by-step explanation:

Rational numbers that can be written as a fraction of two integers (without a denominator of 0).

The other three cannot be written as a fraction or two integers.

If a number can be written or can be converted to p/q form, where p and q are integers and q is a non-zero number, then it is said to be rational and if it cannot be written in this form, then it is irrational. With that being said SQR 13 & 9 2/3 are rational.
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