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3 years ago

The length of a

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

8 0

Answer:

Step-by-step explanation:

L=2w-3

P=42

42=2L+2w=2(L+w)

21=L+w

21=2w-3+w

3w=24

w=8

L=16-3=13

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How to make table listing of ordered pairs for f(x)=-5x+1

S_A_V [24]

Make a table with two columns, to find the ordered pair. This is an example.

6 0

3 years ago

In a group of 25 students, 6 study both Art and Biology. 10 study Biology but not Art. 3 study neither subject. Given that a ran

olga2289 [7]

Answer:

1/2

Step-by-step explanation:

There are a total of 25 students. 3 don't study art or biology. 10 study only biology. 6 study both art and biology. This means the remaining students only study art.

1. Calculate the number of students taking art

only art: 25 - 3 - 6 - 10 = 6

number of students taking art and biology: 6

total number of students taking art: 12

2. Calculate the probability

Out of the 12 total students taking art, 6 are in art and biology.

6/12 = 1/2

6 0

3 years ago

Directions:Solve this equation

avanturin [10]

Answer:

-3.21538461538

Step-by-step explanation:

$\mathrm{Equation\;Given:}\; 5+5x=\frac{12x-\frac{12}{5}\cdot \:7}{5}$

$\mathrm{Multiply\;both\;sides\;by\;5}:$ $5\cdot \:5+5x\cdot \:5=\frac{12x-\frac{12}{5}\cdot \:7}{5}\cdot \:5$

$\mathrm{Now\;we\;have\;}:$ $25+25x=12x-\frac{84}{5}$

$\mathrm{Subtract\;by\;sides\;by\;25}:$ $25+25x-25=12x-\frac{84}{5}-25$

$\mathrm{Thus\;we\;have}:$ $25x=12x-\frac{209}{5}$

$\mathrm{Subtracting\;12x\;from\;both\;sides}:$ $25x-12x=12x-\frac{209}{5}-12x$

$\mathrm{So\;then\;we\;have:}$ $13x=-\frac{209}{5}$

$\mathrm{Now\;divide\;both\;sides\;by\;13}:$ $\frac{13x}{13}=\frac{-\frac{209}{5}}{13}$

$\mathrm{Hence\;we\;have}:\;\;x=-\frac{209}{65}$

$\mathrm{Decimal\;form}:-3.21538461538$

<u><em>Kavinsky</em></u>

7 0

2 years ago

Line CT and line SM intersect at point A. What is the relationship between angle CAM and angle SAT?

Volgvan

The relationship between angle CAM and angle SAT is that<u> angle CAM and angle TAS are vertical angles that are congruent.</u>

<h3>Line and angles</h3>

A line is defined as the shortest distance between two point while the point where two lines meet is an angle.

Given two lines CT and SM, if these two lines meet at a point A, they form the angles SAM, SAT, SAC and MAT

From the diagram that will be formed, the two lines form angles at a point X. This shows that the angles CAM and SAT are congruent (vertically opposite)

Hence the relationship between angle CAM and angle SAT is that<u> angle CAM and angle TAS are vertical angles that are congruent.</u>

Learn more on vertical angles here: brainly.com/question/14362353

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8 0

2 years ago

A farmer planted 3/4 of an acre of land with 2 types of wheat. If she planted an equal amount of each type of wheat, how many ac

VMariaS [17]

Answer:

$\frac{3}{8}$ acres.

Step-by-step explanation:

We have been given that a farmer planted 3/4 of an acre of land with 2 types of wheat. She planted an equal amount of each type of wheat. We are asked to find the number of acres in which farmer planted of each type of wheat.

To find the number of acres in which farmer planted of each type of wheat, we will divide total land by 2 as:

$\text{Number of acres of each type of wheat}=\frac{3}{4}\div 2$