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solniwko [45]
3 years ago
5

The total number of cupcakes Carmen can bake depends on the amount of time she spends baking. Carmen can bake 84 cupcakes in 1.6

h. How many can she bake in 2 h?
Mathematics
1 answer:
Vitek1552 [10]3 years ago
8 0
We know that the number of cakes is dependent on the time spent in baking.

We are given that Carmen can bake 84 cakes in 1.6 hours, therefore, to know the number of cakes that she can bake in 2 hours, all you have to do is cross multiplication as follows:
number of cakes = (2*84) / 1.6 = 105 cakes
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Christine's grade in the three quarters are 88,91,90. if she targets to have an average grade not less then 92 in the four quart
dezoksy [38]

Total marks C needs to get = 92 x 4 = 368

Least grade (fourth quarter) = 368 - 88 - 91 - 90 = 99

8 0
3 years ago
Find the slope of each line and then determine if the lines are parallel, perpendicular or neither. If a value is not an integer
Aleonysh [2.5K]

As given by the question

There are given that the point of two-line

\begin{gathered} (1,\text{ 7) and (5, 5)} \\ (-1,\text{ -3) and (1, 1)} \end{gathered}

Now,

From the condition of a parallel and perpendicular line

If the slopes are equal then the lines are parallel

If the slopes are negative reciprocal then the lines are perpendicular

If the slopes are neither of the above are true then lines are neither

Then,

First, find the slope of both of line

So,

For first-line, from the formula of slope

\begin{gathered} m_1=\frac{y_2-y_1}{x_2-x_1} \\ m_1=\frac{5_{}-7_{}}{5_{}-1_{}} \\ m_1=-\frac{2}{4} \\ m_1=-\frac{1}{2} \end{gathered}

Now,

For second-line,

\begin{gathered} m_1=\frac{y_2-y_1}{x_2-x_1} \\ m_1=\frac{1_{}-(-3)_{}}{1-(-1)_{}} \\ m_1=\frac{4}{2} \\ m_1=2 \end{gathered}

The given result of the slope is negative reciprocal because

\begin{gathered} -\frac{1}{2}=-(-\frac{2}{1}) \\ -\frac{1}{2}=2 \end{gathered}

Hence, the slope of line1 is -1/2, and slope of line2 is 2 and the lines are perpendicular.

5 0
1 year ago
Simplify (5^1/3)^3.
pentagon [3]

Answer:

The correct option is C. 5

Therefore,

(5^{\frac{1}{3})^{3}\ =\ \d5

Step-by-step explanation:

Simplify

(5^{\dfrac{1}{3})^{3}=?

Solution:

Using Identity

(x^{a})^{b}=x^{(a\times b)}

So in the given expression

x = 5\\a=\dfrac{1}{3}\\\\b=3

Therefore,

(5^{\frac{1}{3})^{3}\ =\ \d5^{(\dfrac{1}{3}\times 3)}=\d5^{1}=\d5

Therefore,

(5^{\frac{1}{3})^{3}\ =\ \d5

6 0
3 years ago
A family on a trip budgets $1,000 for meals and gasoline. If the price of a meal for the family is $50 and if gasoline costs $3.
galben [10]

Answer:

They can buy 13meals if they buy 100 gallons of gasoline.

Step-by-step explanation:

3.50 PER gallon so 1 gallon is $3.50

if they buy 100 gallons you have to multiply 3.50 by 100 which gives you 350. you subtract 350 from 1000 so 1000-350 and get 650. now, you divide 650 by 50 because each meal is $50. And you get 13 so there you have it.

3 0
3 years ago
The point P(x, y) lies on the terminal side of an angle theta = 3 pi/4 in standard position. What are the signs of the values of
Maslowich
3pi/4 is 135 in degrees.  A 135-degree angle lies in quadrant 2.  In quadrant 2, the x values are negative and the y values are positive. 
3 0
3 years ago
Read 2 more answers
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