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3 years ago

4x + 3y = 82x - y=9

Mathematics

1 answer:

Alex17521 [72]3 years ago

8 0

Step-by-step explanation:

Follow my steps. Sorry im bit untidy .

Follow these 1°,2°,3°

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Nitella [24]

Radius is 3 in and height is 9 in. Volume is 3²×9π=81π=254.34 cu in.

4 0

3 years ago

Read 2 more answers

AB = x + 15 DC = 4x AD = x + 10 BC = ? Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show

dexar [7]

Answer:

$BC=15\ units$

Step-by-step explanation:

we know that

In a parallelogram opposite sides are congruent

In this problem

we have that

AB and DC are opposite sides

AD and BC are opposite sides

AB=DC

AD=BC

step 1

Find the value of x

AB=DC

substitute the given values

$x+15=4x$

solve for x

$4x-x=15$

$3x=15$

$x=5\ units$

step 2

Find the length of AD

we have that

$AD=x+10$

substitute the value of x

$AD=5+10=15\ units$

step 3

Find the length of BC

Remember that

AD=BC ----> by opposite sides

therefore

$BC=15\ units$

6 0

3 years ago

Mrs. Daly's reading classes were surveyed about their reading preferences. The data is summarized in the table below.

andriy [413]

Answer:

Required probability is 0.19

Step-by-step explanation:

The two-way table for the given data is,

Fiction Non-Fiction Total

9th grade 35 8 43

10th grade 52 12 64

Total 87 20 107

It is required to find the probability of the students who prefer to read non-fiction novels, given that they are in 9th grade.

That is, to find the conditional probability $P(Non-fiction| 9th\ grade)$ .

Now, $P(A|B)=\dfrac{P(A\bigcap B)}{P(B)}$

So, we get,

$P(Non-fiction| 9th\ grade)=\dfrac{(Non-fiction\bigcap 9th\ grade)}{P(9th\ grade)}\\\\P(Non-fiction| 9th\ grade)=\dfrac{8}{43}\\\\P(Non-fiction| 9th\ grade)=0.19$

<h3>Thus, the required probability is 0.19.</h3>

5 0

3 years ago

IT IS DUE AT 11:59PM. PLEASE HELP!!!!

kaheart [24]

Hello from MrBillDoesMath!

Answer: b = 4, h = 13

Discussion:

For a triangle with base b" and height "h, the area formula is

A= (1/2)bh.

In our case A = 26, h = 5b-7, so

26 = (1/2) b (5b-7). Multiply both sides by 2:

26*2 = b(5b-7) =>

52 = b(5b-7) =>

52 = 5b^2 - 7b => (subtract 52 from both sides)

5b^2 - 7b - 52 = 0. This factors as follows:

(b - 4) (5 b + 13) = 0 (use quadratic formula to find this)

so b = 4 and h = 5b -7 = 5*4 - 7 = 13

Thank you,

MrB

3 0

2 years ago

Read 2 more answers

What is 1 7/8 Times 2 1\3

slamgirl [31]

We need to convert the mixed fractions into improper fractions.

1*8 = 8
8+7 = 15

15/8

2*3 = 6
6+1 = 7

7/3

Now we can finish and multiply

$\frac{15*7}{8*3}$

15*7 = 105
8*3 = 24

Simplify 105/24

105/24

24*4 = 96

105 - 96 = 9

4 is the whole number, and 9 is the numerator.

4 9/24

Simplify that,

9/3 = 3
24/3 = 8

4 3/8

Answer: $4\frac{3}{8}$

8 0

3 years ago

Read 2 more answers

4x + 3y = 82x - y=9​

4x + 3y = 82x - y=9