MATHEMATICS HIGH SCHOOL

Which equation represents this situation? Naila worked 3.5 hours more than Lisa. Together, they worked a total of 18 hours. Lisa worked h hours. Question options:
a.h + 3.5 = 18
b.h + 7 = 18
c.h + (h – 3.5) = 18
d.h + (h + 3.5) = 18
Agora cyber charter school

Answers

Answer 1
Answer: The answer would most likely be A

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What is the unit fraction for 12/84

Answers

To simplify 12/84 find the greatest common factor, the greatest factor shared by both numbers.  In this case, it is 12 itself.  Divide both sides by 12 to get 1/7.

When the queen counted her jewels, she found that she had five pearls for each diamond, two opals and three rubies for each diamond, and two emeralds for each opal. If she has three diamonds, how many jewels does she have altogether?

Answers

I believe she would have 45 gems total

3 diamonds

5 pearls per diamond = 15 pearls

2 opals and 3 rubies per diamond= 6 opals and 9 rubies

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Use the normal distribution of fish lengths for which the mean is 9 inches and the standard deviation is 2 inches. Assume the variable x is normally distributed. (A) What percent of the fish are longer than 14 ​inches? (B) If 300 fish are randomly​ selected, about how many would you expect to be shorter than 8 ​inches?

Answers

Answer:

Step-by-step explanation:

Given that fish length X is having the normal distribution  for which the mean is 9 inches and the standard deviation is 2 inches.

X : N(9,2)

A) P(X<14) = P(z<(14-9)/(2) )\n=P(Z<2.5)\n=0.5+0.4938\n=0.9938

B) Here sample size = 300

P(X<8) = P(Z<(8-9)/(2) )=P(Z<-0.5)\n=0.3085

Out of 300 fish we can expect 300(0.3085) to be shorter

i.e. 92.55=93 fish

Reduce 7y + 2y 2 - 7 by 3 - 4y?

Answers

(7y+2y2−7)−(3−4y)

=7y+4y+2y2−7−3

=11y−2y2−10

Hope this helps

If DE = 7x + 3 and EF = 9x - 19,
then EF = ?

Answers

The measure of line segment EF from the given line segment DF is 80 units.

From the given line segment DE=7x+3 and EF=9x-19.

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.

In the given line segment DE=EF

7x+3=9x-19

3+19=9x-7x

2x=22

x=(22)/(2)

x=11

Substitute x=11 in EF=9x-19, we get

EF=9(11)-19

EF=80

Therefore, the measure of line segment EF is 80 units.

To learn more about the midpoint of line segment visit:

brainly.com/question/29163672.

#SPJ3

Answer:

Step-by-step explanation:

7x + 3 = 9x - 19

-2x + 3 = -19

-2x = -22

x = 11

DE= 7(11) + 3 = 77 + 3 = 80

EF = 9(11) - 19 = 99 - 19 = 80

80 + 80 = 160 for DF

Solve the inequality
2(3x-2)>_22

Answers

2(3x - 2) > 22

Expand (eliminate parentheses on) the left side:

6x - 4 > 22

Add 4 to each side:

6x > 26

Divide each side by 6 :

x > 13/3
2(3x-2) \geq22\ \ \ \ /:2\n\n3x-2\geq11\ \ \ /+2\n\n3x\geq13\ \ \ \ /:3\n\nx\geq4(1)/(3)\n\nx\in\left<4(1)/(3);\ \infty\left)

=================================================================

2(3x-2) > 22\ \ \ \ /:2\n\n3x-2 > 11\ \ \ /+2\n\n3x > 13\ \ \ \ /:3\n\nx > 4(1)/(3)\n\nx\in\left(4(1)/(3);\ \infty\left)

=================================================================

2(3x-2) > -22\ \ \ \ /:2\n\n3x-2 > -11\ \ \ \ /+2\n\n3x > -9\ \ \ \ /:3\n\nx > -3\n\nx\in(-3;\ \infty)
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