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Alex17521 [72]
3 years ago
10

Sean used 1-3/4 cup of sugar to make a dozen brownies. How many cups of sugare are used for 6 dozen brownies?

Mathematics
1 answer:
alisha [4.7K]3 years ago
7 0

Answer:

10 1/2

Step-by-step explanation:

We need to convert 1 3/4 to an improper fraction

1 3/4 = (4*1+3)/4 = 7/4

Multiply this by the number of batches

7/4*6 = 42/4 = 21/2

Change this back to a mixed number

2 goes into 21   10 times with 1 left over

10 1/2

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Please help me I’m stuck
FrozenT [24]

Answer:

10.77 units

Step-by-step explanation:

By imaging an imaginery line at point before 1 units to be 4 units: b = 4 units

Therefore h = 11 - 1 = 10 units

Using Pythagoras theorem:

x² = h² + b²  = 10² + 4² = 100 + 16 = 116

x = √116 = 10.77 units

8 0
2 years ago
You invest 4,100 in an account that pays an interest rate of 7.25% ,compounded continuously. Calculate the balance of your accou
levacccp [35]
\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount}
\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$4100\\
r=rate\to 7.25\%\to \frac{7.25}{100}\to &0.0725\\
t=years\to &8
\end{cases}
\\\\\\
A=4100e^{0.0725\cdot 8}\implies A=4100e^{0.58}\implies A\approx 7322.757566075
8 0
3 years ago
Suppose you are walking home after school. The distance from your home to school is 5 km. on foot, you can get home in 1/2 mins.
Sholpan [36]

Answer:

speed is distance over time.so you convert 1/2 to hours then solve

Step-by-step explanation:

hope it helped

7 0
3 years ago
PLEASE HELP ASAP! NO SCAMS!
pshichka [43]

Answer:

Step-by-step explanation:

Perpendicular means that the slopes of the "old" line and the "new" line are opposite reciprocals; bisector means that the "new" line goes directly through the center of the "old" line. This perpendicular bisector, then, will go directly through the center of the "old" line, cutting it directly in half and leaving in its wake a 90 degree angle. To write this equation, then, of the perpendicular bisector, we need the slope of the old line and the midpoint of the old line. Let's work on the midpoint first:

M=(\frac{3+6}{2},\frac{5-7}{2})\\M=(\frac{9}{2},\frac{-2}{2})\\M=(\frac{9}{2},-1) So the "new" line will go through this point.

Onto the slope:

m=\frac{-7-5}{6-3}\\m=\frac{-12}{3}so the slope is

m = -4. That means that the perpendicular slope is

m=\frac{1}{4} Now we're ready to write the equation:

y-5=\frac{1}{4}(x-3) and

y-5=\frac{1}{4}x-\frac{3}{4}\\y=\frac{1}{4}x-\frac{3}{4}+\frac{20}{4} and finally,

y=\frac{1}{4}x+\frac{17}{4}

3 0
3 years ago
Read 2 more answers
Write the word sentence as an equation. 12 less than a number m equals 20.
PolarNik [594]

Answer

Equation: m - 12 = 20

5 0
2 years ago
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