For your birthday you get a big cake and cut it into several pieces. At the end of the party you have 12 pieces of the cake left which is 3/8 of the total cake. How many pieces was the cake originally cut into? Write and solve an equation.

Answers

Answer 1

Answer:

32 pieces

Step-by-step explanation:

1 - 3/8 = (8 - 3) / 8 = 5/8

3/8 = 12 pieces

5/8 = x

Cross multiply

3/8 x = 12 * 5/ 8

3/8 x = 7.5

x = 20

Hence, total piece cake was cut into originally :

20 + 12 = 32 pieces


Related Questions

70% of x is 63. Write an equation to find the value of x, and solve the equation. What is the value of x?

Answers

Answer:

70%of x = 63

70/100 × x = 63

x=63×100/70

x=90

Step-by-step explanation:

Explain what the (0,0) represents in the table.

Answers

Answer:

0,0

Step-by-step explanation:

0,0 on a graph would represent the origin.

the origin ​​​​ㅤㅤㅤㅤㅤㅤ

A rectangle has a length of 4 meters. The width is 2 meters more than the length. Work out the area.

Answers

Answer:

24 m^2

Step-by-step explanation:

Given data

Length= 4 meters

Width= 2+4= 6 meters

We know that the expression for the area of a rectangle is given as

A= Lenght* Width

A= 4*6

A= 24m^2

Hence the area is 24 m^2


Directions: Tell whether each set of ordered pairs satisfies an exponential function. Write yes
or no.
{(-1-1),(0,0),(1,-1).12.-4)}
. 4
{(0,1),(1,4),(216),(3,64)}
{(-11.5),(0,3).(16) (2.12)}
()/(
{(-1-9).(1,9),(3,27).(5,45)}

Answers

Answer:

1_9

Step-by-step explanation:

Directions: Underline the prepositional phrase in each sentence. Highlight the preposition. (There may be more than one.)

Which expression is equivalent to the area of square A, in square inches?
A
10 in.
24 in.
(10)(24)
o
10(24)
Saun and Exit

Answers

Answer:

10^2+24^2

Step-by-step explanation:

got 100% on the quiz

please help!!i need this done asap i’ll make u brainiest if u do it!!

Answers

Answer:

https://brainly.com/question/22433896?answering=true&answeringSource=feedPublic%2FhomePage%2F1

Step-by-step explanation

4x^2+9x+10+3x^2+7x+2​

Answers

Answer:

7x2+16x+12

Step-by-step explanation:

=4x2+9x+10+3x2+7x+2

=(4x2+3x2)+(9x+7x)+(10+2)

=7x2+16x+12

5 nickles to 2 dollars

Answers

Answer:

1/8

Step-by-step explanation:

plz brainliest

the top of a table has a length of 7 feet and a width of 5 feet. what is the area of the table top

Answers

Answer: 35ft

Step-by-step explanation:

The area for a rectangle or square is Width times Length (W*L)

So we can take our given measurements and multiply them

[tex]5*7=35[/tex]

2400000 in standard form ​

Answers

Answer:

2.4 is the correct answer

2.4 * 10^ 6 is 2400000 in standard form.

You have to carry the point 6 times to the left from the last 0 (that’s where I got the 10^6)

Find m Help! Will mark brainliest!

Answers

Answer:

Answer is A! 38 degrees

Step-by-step explanation:

opposite side is the same

Graph the inequality on the axes 2x-y>5

Answers

Answer: x>1/2y+5/2 look at the picture it going to be the graph

Step-by-step explanation: Hope this help :)

4. Find the x-intercepts of the functions. (a) g(x)= 4x² +12x +9​

Answers

Answer:

x = -3/2 or -1.5

Step-by-step explanation:

Factor function into (2x+3)(2x+3) Set 2x+3 equal to 0Solve 2x+3=02x=-3x = -3/2

Can someone plz help real quick?

Answers

1 cm: 3 m. you just have to divide the 15 by the 5 :)

Answer:

1 Cm - 3 Meters

Step-by-step explanation:

Just do 15 (meters) divided by 5 centimeters. 15 divided by 5 is 3.

−3(3h−1)≤−7h−5
kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Answers

Answer:

h<=4

Step-by-step explanation:

-9h+3<=-7h-5

-9h+7h<=-5-3

-2h<=-8

h<=4

Find the value of x. Round to the
nearest tenth.
26
12
Х
x = [ ?

Answers

Answer:

x = 10.8

Step-by-step explanation:

cos 26° = x/12

0.8988 = x/12

x = 10.785

which number is a zero of f(x) = 2x (x + 7) ( x-4)​

Answers

Answer:

0, -7, 4

Step-by-step explanation:

Zeros of a function are values that make the function = 0

So, f(x) = 2x(x + 7)(x - 4) = 0

                x = 0 or x + 7= 0  or x - 4 = 0

                                   x = -7           x = 4

Note:  If you were to graph f(x), the graph would intercept the x-axis at 0, -7, and 4

Which expression is equivalent to 28a - 7b?
A. 4(7a - 7b)
B. 7(28a - b)
C. 7(4a - b)
D. 7(a - 7b)

Answers

Maybe c because 7x4 28

Which property is represented by the equation below? (Lesson 1-4)
8•(5•3)=(8•5)•3

Answers

Answer:

associative property

Step-by-step explanation:

This is the associative property. The numbers and signs on both sides of the equation stay IN THE SAME ORDER, this is a big hint!

Answer:

associative property

Step-by-step explanation:

one cookie at the bakery cost $0.65 two cookies cost $1.20 and three cookies cost $1.75 how much will half a dozen cookies cost

Answers

Answer:

half a dozen cookies would cost  $3.90

Step-by-step explanation:

Last Saturday, Felix and Kia went hiking in the mountains. When they started
back to the head of the trail at 2:00 pm, their elevation was 3,560 feet above
sea level. At 5:30 pm, their elevation was 2,390 feet. What was the rate of
change, to the nearest whole foot, of their elevation between 2:00 pm and 5:30
pm?

Answers

Nit 100% sure.
I think rate of change is 334ft
r=distance/time
time: 5:30-2:00=3.5
distance: 3560-2390=1170 ft
r=1170/3.5
r=334 ft

Give the product in simplest form:

Answers

Answer:

5 15/48

Step-by-step explanation:

5 times 3 is 15,  8 times 6 is 56, and 5 times 1 is 5....you can not simplify 15/48 so the final answer is 5 15/48

help me plesase ill give brainliset

Answers

Answer:

parallelograms

Step-by-step explanation:

all sides well never touch no matter how far they stretch.

A rectangular playground is 28m long and 15m wide. If all sides are
extended lm outward, what is the area of the enlarged playground ?

Answers

Answer:

464m^2

Step-by-step explanation:

Given data

Dimension of the regular playground

Length= 28m

Width= 15 m

We want to extend both sides by 1 m

Length= 28+1= 29m

Width= 15+1= 16m

Hence the area

Area=Length*Width

Area= 29*16

Area= 464m^2

The Area is 464m^2

The measure of one interior angle of a parallelogram is 50 degrees more than 4 times the measure of another angle
The measure of the smaller interior angle is
and the measure of the larger interior angle is?

Answers

Answer:

smaller ∡ = 26°

larger ∡ = 154°

Step-by-step explanation:

opposite angles are congruent

adjacent angles are supplementary

in this problem, the angles are supplementary

'x' = measure of smaller angle

x + 50 + 4x = 180

5x = 130

x = 26

The given information and the relationship between the angles of a

parallelogram can be used to find the interior angles.

The measure of the smaller angle is 26°The measure of the larger angle is 154°

Reasons:

A property of a parallelogram is that the diagonally opposite angles are

equal, and the adjacent angles are supplementary.

Therefore, two of the four interior angles of a parallelogram are equal.

Let x and y represent the two angles of different measure in the

parallelogram

y = 4·x + 50°

y + x = 180°

Which gives;

y = 180° - x

Therefore;

180° - x = 4·x + 50°

180° - 50° = 4·x + x

130° = 5·x

x = 130° ÷ 5 = 26°

x = 26°

y = 4 × 26° + 50° = 154°

y = 154°

Therefore;

The measure of the smaller interior angle, x = 26°The measure of the larger interior angle, y = 154°

Learn more about the properties of a parallelogram here:

https://brainly.com/question/9793817

Please help? If you want I can type the question in the comments too

Answers

Answer:

[tex]y = \frac{1}{2} x- 4[/tex]

Step-by-step explanation:

You can solve this by saying:

[tex]\Delta y = s \Delta x[/tex]

so in this case we have

[tex]y - (-2) = \frac{1}{2}(x- 4)\\[/tex]

Now we can simply solve for y:

[tex]y + 2 = \frac{1}{2} x- 2\\y = \frac{1}{2} x- 4[/tex]

7th grade math
plz help asap
the picture is attached
10 POINTS

Answers

Answer:

1. A, C, and E

2. 13.5

3. -3

4. $3.39

5. 9 1/4 miles

Step-by-step explanation:

There are 10 marbles in a paper bag, 6 of which are red. The rest are blue. You play a game with your friend. If you draw a red marble, you win. If you draw a blue marble she wins. Is this a fair game?

Answers

No, because you have 1 more marble than her. While you have 6 marbles in the bag, she has 4; there’s a 3/5 chance that you’ll win, and a 2/5 chance that she’ll win.

find an ordered pair of 5x + y = 3

Answers

Answer:

Step-by-step explanation:

Find an ordered pair that satisfies the equation 5x + y = 3.  

There are infinitely many ordered pairs that satisfy this equation.

If we were to choose y = 0, then 5x = 3, and x = 3/5, leading to the ordered pair (3/5, 0).

If we were to choose x = 1, then 5(1) + y = 3, or y = -2.  The ordered pair would be (1, -2).

And so on.

(13 x 2) + (2 x 0.5)

Answers

Answer:

27

Step-by-step explanation:

(13x2)+(2x0.5)

(26)+(1)

27

Answer:

27

Step-by-step explanation:

Use PEMDAS:

Parantheses

Exponents

Multiplication

Division

Addition

Subtraction

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