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4 years ago

13

a dress pattern reqiures 3/18 yards of fabric. jody wants to make matting dresses for the girls in her sewing club so she purcha

sed 343/8 yards of fabric how many dresses can jody make

2 answers:

Jlenok [28]4 years ago

8 0

<span>343/8 / 3/18 = 1029/4
She can make 1029 dresses</span>

irina1246 [14]4 years ago

3 0

1029 or 1029/4 because you divide both fractions.

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Y is directly related to x and y is 81 when x is 27 the constant of.variation is

s2008m [1.1K]

Answer:

k = 3

Step-by-step explanation:

Given that y and x are directly related then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 81 when x = 27

k = $\frac{y}{x}$ = $\frac{81}{27}$ = 3

8 0

3 years ago

I want help its urgent!!! <br><br>(iv), (v), (vi) Questions

Artist 52 [7]

Solution:

iv) Given equation: $x^{2} - y^{2} - 4x - 2y + 3$

Since we are given two variables, we need to split the original expression into two quadratic expressions as

$x^{2} - 4x + 4 - y^{2} - 2y - 1$

Factoring x first:

$x^{2} - 4x + 4 =$ $x^{2} - 2x - 2x + 4$

= $x (x - 2) - 2 (x-2)$

= $(x-2)(x-2)$

$= (x-2)^{2}$

Factoring y now:

$-y^{2} - 2y - 1 = -1(y^{2} + 2y + 1)$

= $-1(y^{2} + y + y + 1)$

= $-1[ y(y+1) + 1(y+1)]$

= $-1 [(y+1)(y+1)]$

= $(y+1)(-y-1)$

Therefore, the original expression becomes

$(x-2)^{2}+(y+1)(-y-1)\\or \\(x-2)(x-2) + (y+1)(-y-1)$

7 0

3 years ago

Line a and b intersect, forming two adjacent angles, ∠1 and ∠2. If m ∠1= 7x-8 and

german

Answer:

x = 14; y = 8

Step-by-step explanation:

A perpendicular intersection means an intersection between 2 lines, forming angles of 90°. Then:

7x - 8 = 90°

11y + 2 = 90°

7x - 8 = 90

7x = 90 + 8

7x = 98

x = 98/7

x = 14

11y + 2 = 90

11y = 90 - 2

11y = 88

y = 88/11

y = 8

I hope I've helped you.

5 0

3 years ago

Pls help I rlly need this to pass my class

MakcuM [25]

Answer:

first and third one

Step-by-step explanation:

if x=0 then it is a y intercept. if y=0 then it is an x intercept. if both then it is both

6 0

3 years ago

Assume that 20 percent of students have taken calculus in high school. Of those who have taken calculus in high school, 80 perce

Alex73 [517]

Answer:

The probability that a randomly selected student plans to major in science is 40%

Step-by-step explanation:

Students who take calculus in high school = 20% or 0.2

Of these students, 80% or 0.8 plan to major in science.

That means of these students,

(100 -80) = 20% or 0.2 do not plan to major in science

Students who do not take calculus in high school = (100 -20)= 80% or 0.8

Of these students, 30% or 0.3 plan to major in science.

That means of these students,

(100 -30) = 70% or 0.7 do not plan to major in science.

The probability of students who take calculus in high school and plan to major in science = 0.2 * 0.8

= 0.16

= 16%

The probability of students who take calculus in high school and do not plan to major in science = 0.2 * 0.2

= 0.04

= 4%

The probability of students who do not take calculus in high school and plan to major in science = 0.8 * 0.3

= 0.24

= 24%

The probability of students who do not take calculus in high school and do not plan to major in science

= 0.8 * 0.7

= 0.56

= 56%

All of these probabilities will give 100% of the population.

(16+4+24+56)% = 100%

Therefore, the probability that a randomly selected student plans to major in science = 16% + 24%

= 40%

8 0

3 years ago