All categories

3 years ago

Form three equations starting with x=1/2

Mathematics

1 answer:

ollegr [7]3 years ago

7 0

Answer:

x + 3 = 7/2

100x = 50

16/x = 24

Step-by-step explanation:

The value of x is 1/2 in the three equations.

The variable x is in the left side of the equations.

You might be interested in

Greta wants to make 5 pounds of a nut mix using peanuts and cashews. Her budget requires the mixture to cost her $6 per pound. P

Vinil7 [7]

Answer:

3 pounds of peanuts and 2 pounds of cashews

Step-by-step explanation:

Let x be the pounds of peanuts and y be the pounds of cashews

Greta wants to make 5 pounds of a nut mix using peanuts and cashews.

So, $x+y=5$ ----- A

Cost of 1 pound of peanuts = $4

Cost of x pounds of peanuts = 4x

Cost of 1 pound of cashews = $9

Cost of y pounds of cashews = 9y

Her budget requires the mixture to cost her $6 per pound

So, cost of mixture of x pounds of peanuts and y pounds of cashews is 6(x+y)

So, $4x+9y=6(x+y)$ --- B

Plot A and B

$x+y=5$ ---Blue

$4x+9x=6(x+y)$ ---Green

Refer the attached figure

Intersection point = (x,y)=(3,2)

Hence she should use 3 pounds of peanuts and 2 pounds of cashews

6 0

3 years ago

What is the equation of a line that is perpendicular to y=4x-5 and passes through (-4,6)

lozanna [386]

Answer:

y=-1/4x+5

Step-by-step explanation:

perpendicular lines have slopes that multiply to -1.

Our given line:

y=4x-5

the slope (m) in it is 4. To find the slope of the perpendicular line:

4m=-1

divide by 4

m=-1/4

the slope of the new line is -1/4

here's our equation so far:

y=-1/4x+b

Since the line will pass through the point (-4,6) we can use it to solve for b (y intercept)

so substitute (-4,6) into the equation

6=-1/4(-4)+b

6=1+b

5=b

the y intercept is 5

so our equation is:

y=-1/4x+5

hope this helps! :D

4 0

3 years ago

Hello, can i please have help on this question thank you

cricket20 [7]

Answer:

Step-by-step explanation:

a) One can get maximum score when all the 20 questions answered are correct.

Maximum score = 20*3 = 60 points

b) Minimum score = 20 * (-2) = -40 points

c) Points for correctly answered questions = 10*3 = 30

Incorrectly answered questions = 14 - 10 = 4

Points for incorrectly answered questions = 4 * (-2) = -8

Total score = 30 + (-8) = 22

d) Points for correctly answered questions =5*3 = 15

Points for incorrectly answered questions = 13 * (-2) = -26

Total score = 15 + (-26) = -11

6 0

3 years ago

Zara is shopping at a furniture store with a budget of $1,500

Burka [1]

The Estimated total cost was $1564. Zara do not have eough money to buy the sofa and coffee table.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

She wants to buy a sofa for $924 and a coffee table for $640, hence:

Estimated total cost = 924 + 640 = $1564

The Estimated total cost was $1564. Zara do not have eough money to buy the sofa and coffee table.

Find out more on equation at: brainly.com/question/1214333

3 0

2 years ago

Help with 6 a and b please

34kurt

Answer:

a) $y=\frac{50}{x}$

b) $y=25$ when $x=2$

Step-by-step explanation:

$y=\frac{k}{x}$ since y varies inversely with x.

We need to find the constant, k.

Let's use a point (x,y) on the curve.

We are given an (x,y)=(5,10):

$10=\frac{k}{5}$

Multiply both sides by 5:

$10(5)=k$

$50=k$ .

So the equation is:

$y=\frac{50}{x}$

What is y when x=2?

$y=\frac{50}{2}$

$y=25$

8 0

3 years ago