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3 years ago

Show work only do those 32,34,36,38,40

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

7 0

Answer: see below

Step-by-step explanation:

$32)\quad \dfrac{3}{5}(x-12)>x-24$

3(x - 12) > 5(x - 24)

3x - 36 > 5x - 120

-5x -5x

-2x - 36 > -120

+36 +36

-2x > -84

÷ -2 ↓ ÷ -2

x < 42

Graph: ←------------o

34) 6[5y - (3y - 1)] ≥ 4(3y - 7)

6[5y - 3y + 1] ≥ 4(3y - 7)

6{2y + 1] ≥ 4(3y - 7)

12y + 6 ≥ 12y - 28

-12y -12y

6 ≥ -28

TRUE so the solution is All Real Numbers

Graph: ←-----------------------→

36) BC + AC > AB

4 + 8 - AB > AB

12 - AB > AB

+AB +AB

12 > 2AB

÷2 ÷2

6 > AB

AB < 6

$38)\quad \dfrac{1}{2}(y-16)\geq y+2\quad ;\text{claim}\ y\leq 20$

Check: let y = 16

then $\frac{1}{2}$ (16 - 16) ≥ 16 + 2

0 ≥ 18

FALSE so the claim is wrong

40) question not provided in the image so I cannot give a solution.

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2 years ago

Use the substitution method to solve the system of equations. Choose the

Hatshy [7]

Answer:

(3, 2) is the ordered pair for the given system of equations.

Step-by-step explanation:

Given:

2 x+ y = 8.......................(i)

y = - x + 5........................(ii)

Put y = - x + 5 in equation (i)-

2 x + ( - x+ 5) = 8

2 x - x + 5 = 8

x = 8 - 5

x = 3

Now put x = 3 in equation (ii)-

y = - 3 + 5

y = 2

Hence the (3, 2) is the correct ordered pair.

4 0

3 years ago

Jordan is mixing water and flour to make tortillas. The number cups of water, w needed for f cups of flour is described by the e

Tresset [83]

Answer:

$1\frac{1}{3}$ cups of flour.

Step-by-step explanation:

Given that:

$w$ is the number of cups of water to be mixed with flour for making tortillas.

$f$ is the number of cups of flour to be mixed with water for making tortillas.

Relation between $w$ and $f$ is given by the equation:

$w=0.75f$

To find:

Number of cups of flour to be added if number of cups of water to be used is 1.

Solution:

We are given an equation with two variables.

Value of one variable is given and we have to find the value of other variable.

$1=0.75f\\\Rightarrow f = \dfrac{1}{0.75}\\\Rightarrow f = 1.33$

Number of cups of flour to be added = $1\frac{1}{3}$

6 0

2 years ago

if the perimeter of the rectangle was known to be 90 in what would the value of x be in order for this to be true

Fofino [41]

Answer:

x = 30 in

Step-by-step explanation:

length of rectangle is (2/3)x + 10; width is (1/3)x + 5;

perimeter is 90 in; find x:

P = 90 in = 2(2/3)x + 2(10) + 2(1/3)x + 2(5), or

90 in = (6/3)x + 30 in

Solving for x, we get (2)x = 60 in, or x = 30 in

8 0

3 years ago

Which graph represents Y as a function of x?

sattari [20]

Answer:

Step-by-step explanation:

a "function" gives every x value exactly one y value.

A, B and C all have 2 or more y values for an x value.

use e.g. a pen and place it vertically (straight top-down, parallel to the y-axis) on the graphs.

how often does the pen intersect the function curve ?

that is what I am talking about.

if it is more than once, than the x value (the point on the x-axis), where you put your pen, has more than 1 y values.

and that is then not a function.

only D is a function. the pen intersects with the function curve only once, no matter where you put the vertical pen.

7 0

1 year ago