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nata0808 [166]
2 years ago
13

A 234 inch board is cut into two pieces. One piece is five times the length of the order. Find the length of the shorter piece.

Mathematics
1 answer:
hammer [34]2 years ago
7 0

Answer:

39 inches

Step-by-step explanation:

5x+x=234

6x=234

234/6=39

x=39 inches

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Angles of XYZ and ABC are the blank because the triangle are blank and corresponding angles are blank.
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Answer:

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Write an equation of the line that passes through (-6.0) and (0, – 24).​
Ipatiy [6.2K]

Answer:

y = -4x - 24

Step-by-step explanation:

Firstly, figure out the slope. To do that, plug the coordinates in the formula.

y2 - y1 / x2 -x1

= -24 - 0 / 0 - (-6)

= -4

The slope is -4/1x.

To figure out the y-intercept, you need to plug one of the coordinates into

y = -4x + b

0 = -4(-6) + b

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4 0
3 years ago
Read 2 more answers
Ben is taking three AP classes and two regular classes. His AP classes count twice as much as his regular classes in his GPA. Ea
zhannawk [14.2K]
This problem deals with a weighted average. Since the AP classes count twice as much as regular classes, their grades must be counted twice. It's as if for each AP class he's taking, he was taking two classes. The points of each AP class grade is added twice, and the each AP class counts as 2 classes in the number of classes.

Each AP class counts twice and counts as 2 classes.

Class                                Ben's grade     Points          Number of Classes
AP English                               B               3 + 3                         2
AP Government                       B               3 + 3                         2
AP Algebra II                           A                4 + 4                         2
Spanish                                   B                   3                            1
Physics                                    D                  1                            1
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<span>Answer: B 3.0</span>
7 0
3 years ago
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. n^2+5/2n
Sergeeva-Olga [200]

Answer:  \bigg(n+\dfrac{5}{4}\bigg)^2

<u>Step-by-step explanation:</u>

n^2+\dfrac{5}{2}n+\underline{\qquad}\\\\\\n^2+\dfrac{5}{2}n+\bigg(\dfrac{5}{2\cdot 2}\bigg)^2\\\\\\n^2+\dfrac{5}{2}n+\bigg(\dfrac{5}{4}\bigg)^2\\\\\\=\bigg(n+\dfrac{5}{4}\bigg)^2

5 0
3 years ago
You have a six-sided die that you roll once. Let Ri denote the event that the roll is i. Let G j denote the event that the roll
Misha Larkins [42]

Answer:

a. P (R3 | G1)=\frac{1}{5}

b. P (R6| G3)= \frac{1}{3}

c. P(G3|E)=\frac{2}{3}

d. P (E|G3)=\frac{2}{3}

Step-by-step explanation:

The sample space associated with the random experiment of throwing a dice is is the equiprobable space {R1, R2, R3, R4, R5, R6}. Then,

a. The conditional probability that 3 is rolled given that the roll is greater than 1? P (R3 | G1) = \frac{P (R3\bigcap G1)}{P(G1)} = \frac{1/6}{5/6} = \frac{1}{5}

b. What is the conditional probability that 6 is rolled given that the roll is greater than 3? P (R6| G3) = \frac{P (R6\bigcap G3)}{P(G3)} = \frac{1/6}{3/6} = \frac{1}{3}

c. What is P [GIE], the conditional probability that the roll is greater than 3 given that the roll is even? P(G3|E) = \frac{P (G3\bigcap E)}{P(E)} = \frac{2/6}{3/6} = \frac{2}{3}

d. Given that the roll is greater than 3, what is the conditional probability that the roll is even? P (E|G3) = \frac{P (E\bigcap G3)}{P(G3)} = \frac{2/6}{3/6} = \frac{2}{3}

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3 years ago
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