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Olenka [21]
2 years ago
4

Jake's math teacher assigned questions 10-20 for

Mathematics
1 answer:
MakcuM [25]2 years ago
4 0

Answer:

15

Step-by-step explanation:

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De acuerdo con los registros de una empresa, se requieren 54 toneladas de naranjas para producir 45 toneladas de concentrado en
worty [1.4K]

Answer:

79.2 tons

Step-by-step explanation:

What must be done is to apply a proportion rule, taking into account what happened in the registry and what is wanted for this new year. In the following way we can calculate the amount of tons of oranges.

Powder concentrate                    Oranges

         45 tons -------------------------> 54 Tons

         66 tons -------------------------> X Tons

X = 66 * 54/45

X = 79.2, that is to say that 79.2 tons are necessary to produce 66 tons of powder concentrate to make juice.

5 0
2 years ago
The box plots compare the number of students in Mr. Ishimoto’s classes and in Ms. Castillo’s classes over the last two semesters
Ilya [14]
<span>-Both box plots show the same interquartile range.
 >Interquartile range (IQR) is computed by Q3-Q1. 
For Mr. Ishimoto's class, Q3 is 35 and Q1 is 31. 35-31 = 4.
For Ms. Castillo's class, Q3 is 34 and Q1 is 30. 34-30 = 4.

</span><span>-Mr. Ishimoto had the class with the greatest number of students.
 >Mr. Ishimoto had 40 students, represented by the last data point of the whiskers.

</span><span>-The smallest class size was 24 students.
 >Which was Ms. Castillo's class.</span>
7 0
2 years ago
Read 2 more answers
Which value of b will cause the quadratic equation x2 + bx + 5 = 0 to have two real number solutions?
REY [17]
<span>Which value of b will cause the quadratic equation x2 + bx + 5 = 0 to have two real number solutions?


–5</span>
5 0
2 years ago
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Trapezoid CDEF was reflected across the x-axis followed by a 90° rotation about the origin to create the other trapezoid shown o
Delicious77 [7]

Answer:

yes

Step-by-step explanation:

7 1
2 years ago
Read 2 more answers
Trevor is analyzing a circle, y2 + x2 = 100, and a linear function g(x). Will they intersect?
lakkis [162]
Given a circle described by the equation:
y^2+x^2=100
and a function g(x) given by the table
\begin{center}&#10;\begin{tabular}{ |c |c |c }&#10; x & g(x) \\&#10; -1 & -22 \\&#10; 0 & -20  \\&#10;1 & -18   &#10;\end{tabular}&#10;\end{center}

The function g(x) describes a straight line with the equation:
\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}  \\  \\  \frac{y-(-22)}{x-(-1)} = \frac{-20-(-22)}{0-(-1)}  \\  \\ \frac{y+22}{x+1} = \frac{-20+22}{0+1} = \frac{2}{1}  \\  \\ y+22=2(x+1)=2x+2 \\  \\ y=2x-20

To check if the circle and the line intersects, we substitute the equation of the line into the equation of the circle to see if we have a real solution.
i.e.
y^2+x^2=100 \\  \\ (2x-20)^2+x^2=100 \\  \\ 4x^2-80x+400+x^2=100 \\  \\ 5x^2-80x+300=0 \\  \\ x^2-16x+60=0 \\  \\ (x-6)(x-10)=0 \\  \\ x-6=0 \ or \ x-10=0 \\  \\ x=6 \ or \ x=10

When x = 6, y = 2(6) - 20 = 12 - 20 = -8 and when x = 10, y = 2(10) - 20 = 20 - 20 = 0

Therefore, the circle and the line intersect at the points (6, -8) and (10, 0).
8 0
2 years ago
Read 2 more answers
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