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klio [65]
3 years ago
13

Tiffiny ate 1 slice of cake. Omer ate 2 slices. If Tiffiny ate 1/5 of the cake and all the slices were the same size, what fract

ion of the cake remained after Tiffiny and Omer had eaten?
Mathematics
2 answers:
Studentka2010 [4]3 years ago
5 0
If the total of the slices is one cake, and each slice is '<em>s</em>' in size, then you could model an equation like this:
Total (one cake) = 1 slice + 2 slices + 1/5 slices + remaining cake, or
c = 1s + 2s + \frac{1}{5}s + R\\&#10;c=2\frac{1}{5}s+R\\&#10;R=2\frac{1}{5}s -c
Now since I'm sure this question is incomplete, plug in whatever values you need to get the answer.
Nutka1998 [239]3 years ago
3 0
2/5 of the cake are left. Tiffany ate 1/5 and Omer ate 2x the amount, which is 2/5.
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Evaluate the expression 29-3(9-4)
pav-90 [236]

Answer:

14

Step-by-step explanation:

PEMDAS - First Do Parentheses

29-3(5)

Then Do Multiplication

29-15

Then Finish with Subtraction

<u>14</u>

3 0
3 years ago
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This is in integers.<br><br> Q: evaluate (+5)-(+9)-(-7)
creativ13 [48]

can be simplified as 5-9+7=-4+7=3

3 0
3 years ago
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Find four numbers that form a geometric progression such that the third term is greater than the first by 12 and the fourth is g
olchik [2.2K]

If x is the first number in the progression, and r is the common ratio between consecutive terms, then the first four terms in the progression are

\{x,xr,xr^2,xr^3\}

We want to have

\begin{cases}xr^2-x=12\\xr^3-xr=36\end{cases}

In the second equation, we have

xr^3-xr=xr(r^2-1)=36

and in the first, we have

xr^2-x=x(r^2-1)=12

Substituting this into the second equation, we find

xr(r^2-1)=12r=36\implies r=3

So now we have

\begin{cases}9x-x=12\\27x-3x=36\end{cases}\implies x=\dfrac32

Then the four numbers are

\left\{\dfrac32,\dfrac92,\dfrac{27}2,\dfrac{81}2\right\}

4 0
3 years ago
Eyan bought 234 pounds of apples for $1.32 per pound, 112 pounds of peaches for $1.20 per pound, and some tomatoes, all from a g
9966 [12]

Answer:

the  money spend on tomatoes is $4.20

Step-by-step explanation:

The computation of the money spend on tomatoes is shown below

Let the money spend on tomatoes be x

So

2 \frac{3}{4} \times \$1.32 + 1\frac{1}{2} \times \$1.20 + x = \$9.63\\\\

$3.63 + $1.80  + x = $9.63

x = $9.63 - $3.63 + $1.80

= $4.20

Hence, the  money spend on tomatoes is $4.20

4 0
3 years ago
Use the picture below to find the length of x. Round your answer to the nearest hundredth.
valentinak56 [21]

Answer: 6.71

=======================================

Work Shown:

The longest horizontal portion of length 6 breaks up into two equal pieces of length 3 each. Focus on the smaller right triangle on the right hand side. This right triangle has legs of 3 and 6. The hypotenuse is x.

Use the pythagorean theorem with a = 3, b = 6, c = x to find the value of x

a^2 + b^2 = c^2

3^2 + 6^2 = x^2

9 + 36 = x^2

45 = x^2

x^2 = 45

x = sqrt(45)

x = 6.7082039

x = 6.71

4 0
3 years ago
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