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egoroff_w [7]
3 years ago
7

What is the rule of this pattern 1, 21, 85, 341

Mathematics
2 answers:
Lilit [14]3 years ago
7 0

Multiply everything except the first starting number by 4 then add 1

weqwewe [10]3 years ago
4 0

5 x 4 +1 =21

21 x 4 +1 = 85

85 x 4 + 1 = 341

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Temperature needs to fall by 3 degrees

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60 students study a language at a school.
nirvana33 [79]

The answer will be that out of 36 boys 24 speak french and 12 speak german and out of 24 girls 16 speak french and 8 speak german.

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In the question we have that there are 60 students in total out of which 36 are boys:

So number of the girls will be = 60-36=24

Now if 2/3 of the boys speak french the number of the boys who speak french will be = (2÷3)x36=24

Now the number of the boys who speak german will be =36-24=12

Now since 40 students study french so we have the number of the boys who speak french is 24. so the number if the girls who speak french will be =40-24=16

Since there are 24 girls in total and out of them 16 speak french so the remaining girls speak german=24-16=8

Hence answer will be that out of 36 boys 24 speak french and 12 speak german and out of 24 girls 16 speak french and 8 speak german.

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2 years ago
Solve x2 + 15x = –56.
Black_prince [1.1K]
15x = 7x + 8x

x^2+15x=-56\\\\ x^2+15x+56=0\\\\ x^2+7x+8x+56=0\\\\x(x+7)+8(x+7)=0\\\\ (x+7)(x+8)=0 \\\\ x=-7 \ or \ x=-8
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Which graph below shows the solutions for the linear inequality y&gt;- 1/3x + 1
aliina [53]

The graph that shows the solutions for the inequality, y > -1/3x + 1 is: C. Graph A.

<h3>How to Find the Graph of a Linear Inequality?</h3>

The inequality sign, ">" means that the graph of the inequality has a dashed line where the shaded part is above the boundary line and the boundary line is dashed or dotted. If "≥" is used, the boundary line would not be dashed or dotted and the shaded area would be above it.

On the other hand, "<" is used when the shaded area is below the boundary line and the boundary line is a dashed line. If "≤" was used, the boundary line won't be dashed or dotted, while the shaded area would be below the boundary line that is not dotted.

Given y > -1/3x + 1, the slope (m) = change in y / change in x is -1/3.

Graph A has a slope of -1/3 and the shaded part is above the boundary line.

Therefore, the graph that shows the solutions for y > -1/3x + 1 is: C. Graph A.

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8 0
2 years ago
katie, elizabeth and scott volunteer at a hospital in one week. katie volunteers 3 more hours than elizabeth and scott volunteer
gogolik [260]

Step-by-step explanation:

ALGEBRA 1

Lilly S. asked • 08/16/17

3 girls get volunteer hours.

Katie, Elizabeth, and Siobhan voluenteer at the hospital. In a week, Katie volunteers 3 hours more than Elizabeth does and Siobhan volunteers 1 hour less than Elizabeth. Over 3 weeks, the number of hours Katie volunteers is equal to the sum of Elizabeth's and Siobhan's volunteer hours in 3 weeks.

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1 Expert Answer

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Best

Andy C. answered • 08/16/17

TUTOR 4.9 (27)

Math/Physics Tutor

SEE TUTORS LIKE THIS

We know nothing about Elizabeth hours, so that is where you assign the variable.

Elizabeth = X

Katie = X+3

Siobhan = X -1

Assuming this holds true over 3 weeks,

3(x+3) = 3X + 3(x-1)

3x + 9 = 3x + 3x - 3

3x + 9 = 6x - 3

0 = 6x - 3 - 3x - 9

0 = 3x - 12

12 = 3x

x=4

in one week:

Elizabeth volunteers 4 hours

Katie volunteers 7 hours

Siobhan volunteers 3 hours

over three weeks:

Elizabeth volunteers 12 hours

Katie volunteers 21 hours

Siobhan voluteers 9 hours

21 = 12 + 9, so yes it checks.

3 0
2 years ago
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