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3 years ago

No freeze antifreeze mixture contains 30% alcohol.how many alcohol is there in 15 quarts of no freeze?

1 answer:

8 0

$\bf \begin{array}{|c|ll}
\cline{1-1}
\textit{a\% of b}\\
\cline{1-1}
\\
\left( \cfrac{a}{100} \right)\cdot b
\\\\
\cline{1-1}
\end{array}~\hspace{5em}\stackrel{\textit{30\% of 15}}{\left( \cfrac{30}{100} \right)15}\implies 4.5$

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ASE

eimsori [14]

Answer:

128 deg

Step-by-step explanation:

The sum of the measures of the angles of a polygon of n sides is

(n - 2)180

A trapezium has 4 sides, so the sum of the measures of the angles is

(4 - 2)180 = 2(180) = 360

m<CBE + m<C + m<D + m<DEB = 360

Angles ABC and CBE are a linear pair so the sum of their measures is 180 deg.

m<ABC + m<CBE = 180

115 + m<CBE = 180

m<CBE = 65

m<C = x

m<D = 90

Angles DEB and DEF are a linear pair so the sum of their measures is 180 deg.

m<DEB + m<DEF = 180

m<DEB + m<103 = 180

m<DEB = 77

m<CBE + m<C + m<D + m<DEB = 360

65 + x + 90 + 77 = 360

x + 232 = 360

x = 128

Answer: 128 deg

3 0

3 years ago

Read 2 more answers

Mr. Smith drew an obtuse triangle with side lengths of 4 cm, 6 cm, and 8 cm. In addition to being an obtuse triangle, what kind

Ulleksa [173]

Answer:

Scalene

Step-by-step explanation:

With this question, it's best to draw it out or we can use process of elimination.

We can rule out Right as the triangle is already obtuse (it can't be both).

We can rule out Equilateral as all the sides are not equal.

We can also rule out Isosceles as this triangle requires 2 sides to be equal, which clearly, they aren't.

Therefore, we are left with Scalene (C) which is your answer.

A scalene triangle has no identical sides or angles, and can be obtuse, right or acute.

Hope this helps,

Cate

3 0

3 years ago

Graph the function y = |1.6x – 2| – 3.2. Over which interval is the function increasing?

klasskru [66]

You are to graph y = |1.6x – 2| – 3.2. I trust you know that the graph of y=|x| is v-shaped, opening up, with vertex at (0,0).

Let's rewrite y = |1.6x – 2| – 3.2 by factoring 1.6 out of |1.6x - 2|:

y = 1.6*|x – 2/1.6| – 3.2

This tells us that the vertex of y = |1.6x – 2| – 3.2 is at (2/1.6, -3.2). If you need an explanation of why this is, please ask.

Plot the vertex at (1.25, -3.2).
Find the y-intercept: Let x = 0 in y = |1.6x – 2| – 3.2 and find y:

y = 2-3.2 = -1.2

The y-intercept is located at 0, -1.2)

Plot this y-intercept.

Now draw a straight line from the vertex to this y-intercept. Reflect that line across the y-axis to obtain the other half of the graph.

8 0

2 years ago

Read 2 more answers

General Mills, the manufacturer of Lucky Charms, claims that their new boxes hold 25% more cereal. If their original box held 50

shutvik [7]

Answer:

625

Step-by-step explanation:

basically, half of 500 is 250 halve that you get a quater of 500 (25%)

500+125=625

6 0

2 years ago

The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditio

zzz [600]

If two events are independent, then

$Pr(A\cap B)=Pr(A)\cdot Pr(B)$ .

Use formulas for conditional probabilities:

$Pr(A|B)=\dfrac{Pr(A\cap B)}{Pr(B)},\\ \\ Pr(B|A)=\dfrac{Pr(A\cap B)}{Pr(A)}$ .

For independent events these formulas will be:

$Pr(A|B)=\dfrac{Pr(A\cap B)}{Pr(B)}=\dfrac{Pr(A)\cdot Pr(B)}{Pr(B)}=Pr(A),\\ \\ Pr(B|A)=\dfrac{Pr(A\cap B)}{Pr(A)}=\dfrac{Pr(A)\cdot Pr(B)}{Pr(A)}=Pr(B)$ .

Now in your case $Pr(A)=x,\ Pr(B)=y$ and $Pr(A|B)=x,\ Pr(B|A)=y, Pr(A\cap B)=x\cdot y$ .

This shows that the only correct choice is A.

5 0

3 years ago

Read 2 more answers