All categories

1 year ago

In the equation below, a and b are constants. If a = b, what is the value of x in terms of y ? 2xa=8yb Select one:

Mathematics

1 answer:

Bas_tet [7]1 year ago

7 0

Answer: $x=4y$

Step-by-step explanation:

The equation is $2xa=8yb$ .

To find the value of the variable "x" in terms of "y", you need to apply the Division property of equality and divide both sides of the equation by "2a". Then:

$\frac{2ax}{2a}=\frac{8yb}{2a}$

$x=\frac{8yb}{2a}$

You know that the costants "a" and "b" are equal ( $a=b$ ), then:

$\frac{b}{a}=1$

Knowingt this, you can simplify.

Therefore, you get that the value of "x" in terms of "y" is:

$x=4y$

You might be interested in

The scale factor of a room for a scale drawing is 2.3. The actual length of a wall in the room is 46 feet and the actual width o

dimaraw [331]

Answer:

There's two ways to solve this.

Step-by-step explanation:

First way:

Let's divide the width and length by 2.3.

46÷2.3=20

69÷2.3=30

20×30

600 ft²

Second Way:

Let's find the area of the actual room.

46×69

3,174 ft²

Let's find the scale drawing squared.

2.3²=5.29

3,174÷5.29

600 ft²

3 0

2 years ago

Read 2 more answers

It is known that 70% of the customers in a sporting goods store purchase a pair of running shoes. a random sample of 25 customer

NikAS [45]

Let x be the discrete random variable whose value is the number of successes in n trials.

The probability distribution function for x of the binomial distribution B(n,p) is defined as

$B(n,p)= nC_xp^x(1-p)^{n-x}$

Given that the random sample size is $n=25$

let x represent number of customers who purchase running shoes

Let "p" be the probability of customers in a sporting goods store purchase a pair of running shoes.

It is given that 70% of the customers in a sporting goods store purchase a pair of running shoes.

Thus $p=\frac{70}{100}=0.7$

Thus the Probability distribution of x is given by

$P(X=x)= 25C_x(0.7)^x(1-0.7)^{25-x}$ , where $x=0,1,2,3,...,25.$

8 0

2 years ago

Jane wishes to bake an apple pie for dessert. The baking instructions say that she should bake the pie in an oven at a constant

pychu [463]

Answer:

A=152

K= -Ln(0.5)/14

Step-by-step explanation:

You can obtain two equations with the given information:

T(14 minutes) = 114◦C

T(28 minutes)=152◦C

Therefore, you have to replace t=14, T=114 and t=28, T=152 in the given equation:

$114=190-Ae^{-14k} (I) \\152=190-Ae^{-28k}(II)$

Applying the following property of exponentials numbers in (II):

$e^{a}.e^{b}=e^{a+b}$

Therefore $e^{-28k}$ can be written as $e^{-14k}.e^{-14k}$

$152=190-Ae^{-14k}.e^{14k}$

Replacing (I) in the previous equation:

$152=190-76e^{-14k}$

Solving for k:

Subtracting 190 both sides, dividing by -76:

$0.5=e^{-14k}$

Applying the base e logarithm both sides:

Ln(0.5)= -14k

Dividing by -14:

k= -Ln(0.5)/14

Replacing k in (I) and solving for A:

$Ae^{-14(-Ln(0.5)/14)}=76\\Ae^{Ln(0.5)} =76\\A(0.5)=76$

Dividing by 0.5

A=152

7 0

2 years ago

Which two values of x are roots of the polynomial below?<br> 4x2-6x+1

viva [34]

Answer:

4x2-6x+1

∆=√-6^2-4×1×4

∆=√36-16=√20

∆=2√5

root1=(6+√20)/8

root2=(6-√20)/8

6 0

2 years ago

(14.14) larry reads that 1 out of 6 eggs contains salmonella bacteria. so he never uses more than 5 eggs in cooking. if eggs do

melomori [17]

we know that

The probability that "at least one" is the probability of exactly one, exactly 2, exactly 3, 4 and 5 contain salmonella.

The easiest way to solve this is to recognise that "at least one" is ALL 100% of the possibilities EXCEPT that none have salmonella.

If the probability that any one egg has 1/6 chance of salmonella

then

the probability that any one egg will not have salmonella = 5/6.

Therefore

for all 5 to not have salmonella

= (5/6)^5 = 3125 / 7776

= 0.401877 = 0.40 to 2 decimal places

REMEMBER this is the probability that NONE have salmonella

Therefore

the probability that at least one does = 1 - 0.40

= 0.60

the answer is

0.60 or 60%

6 0

2 years ago