Simplify the expression (6/4)2.

Answer:

(a)

Step-by-step explanation:

The relationship between temperatures measured in Fahrenheit, and in Celsius can be represented using equations.

Given that:

[tex](F_1,C_1) = (32,0)[/tex]

[tex](F_2,C_2) = (212,100)[/tex]

First, calculate the slope (m)

[tex]m = \frac{C_2 - C_1}{F_2 - F_1}[/tex]

So we have:

[tex]m = \frac{100 - 0}{212 - 32}[/tex]

[tex]m = \frac{100}{180}[/tex]

[tex]m = \frac{5}{9}[/tex]

So, the equation is calculated using:

[tex]C= m(F - F_1) + C_1[/tex]

So, we have:

[tex]C = \frac 59(F - 32) + 0[/tex]

[tex]C = \frac 59(F - 32)[/tex]

Rewrite as:

[tex]C = \frac{(F - 32)}{9/5}[/tex]

[tex]C = \frac{(F - 32)}{1.8}[/tex]

To solve for F, we multiply both sides by 1.8

[tex]1.8C =F - 32[/tex]

Add 32 to both sides

[tex]F = 1.8C + 32[/tex]

(a) The temperature of Oslo in F

We have:

[tex]C = 16[/tex]

So, we make use of:

[tex]F = 1.8C + 32[/tex]

[tex]F = 1.8 \times 16 + 32[/tex]

[tex]F = 60.8[/tex]

The temperature in Oslo is [tex]60.8^oF[/tex]

(b) When F = C

We have:

[tex]F = 1.8C + 32[/tex]

Substitute F for C

[tex]F = 1.8F +32[/tex]

Collect like terms

[tex]F - 1.8F =32[/tex]

[tex]-0.8F =32[/tex]

Make F the subject

[tex]F = \frac{32}{-0.8}[/tex]

[tex]F = -40[/tex]

Hence,

[tex]-40^oF[/tex] is equivalent to [tex]-40^oC[/tex]

Read more about equations at:

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Answer:

5 in

Step-by-step explanation:

Answer:

EG=5

Step-by-step explanation:

Congruent means equal to in math so since it is equal to the other triangle it must be the same in some way

and with the 90-degree angle, it shows you where it is pointing

with angle B=F

E=A

G=C

the lines connecting them are also equal

AB=EF

BC=FG

EG=AC

Since AC=5

threrfore EG also equals 5

Answer:

154 divide by 12 when you get your answer multiply it by 8

Answer: 30 = y

Step-by-step explanation: When we have two sets of directly related coordinates, x₁ and y₁, and x₂ an y₂, we can use the ratio below to find the missing value.

y₁ / x₁ = y₂ / x₂

We know that y = 24 when x = 8.

So one set of coordinates will be 24 and 8.

We want to know the value of y when x = 10.

So the other coordinates will be y and 10.

So we have 24/8 = y/10.

Now, we can solve for y using cross products.

So we have (24)(10) which is 240 and (8)(y) is 8y.

So we have 240 = 8y.

Now dividing both sides by 8, we have 30 = y.

So 30 is equal to y.

Using the Empirical Rule, it is found that 68% of the cars driven by the students at Chillville have gas mileages between 24.0 and 32.0 miles per gallon.

It states that, for a normally distributed random variable:

In this problem, considering the mean of 28 mpg and the standard deviation of 4 mpg, we have that 24.0 and 32.0 mpg is within 1 standard deviation of the mean, hence the percentage is of 68%.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

Answer: y= 3x

Step-by-step explanation:

Answer:

I think the answer is either B or D

Step-by-step explanation:

Let's see

So they are Linear pairs

Option B

Answer:

333.12

Step-by-step explanation:

13.88x6= 83.28x4=333.12

Answer:

63.7

Step-by-step explanation:

i just know

Answer:

27.1

Step-by-step explanation:

where's the number line?

Answer:

Student ticket=$10. Senior ticket=$7

Step-by-step explanation:

If we say Student ticket price = Y. and senior ticket price = X. Then we can say:

[tex]3x+5y=71\\10x+12y=190[/tex]

We can rewrite one of the equations as y equals:

[tex]10x=190-12y[/tex]

Then, we simply solve for x.

[tex]\frac{10x=190-12y}{10}=x=19-1.2y[/tex]

Then, we use the other equation and replace x with the equation we just solved

[tex]3(19-1.2y)+5y=71\\[/tex]

We simplify and it becomes:

[tex]57-3.6y+5y=71[/tex]

Then we subtract 57 from each side and get:

[tex]-3.6y+5y=-14[/tex]

Next, we combine the y and get:

[tex]1.4y=14[/tex]

Then we divide by 1.4 and get:

[tex]\frac{1.4y=14}{1.4} =y=10[/tex]

This means that the cost per student ticket is $10

Next we replace the y value in an equation with 10 and solve:

[tex]3x+5y=71\\3x+5(10)=71\\3x+50=71\\[/tex]

Then we subtract 50 from each side:

[tex]3x+50=71\\-50\\3x=21[/tex]

Finally, we divide each side by 3:

[tex]\frac{3x=21}{3} =x=7[/tex]

This means that each senior ticket costs $7

Hey there!

5x = 120 {Obtain a formula for x }

=> [tex]\fbox{5x = 120}[/tex] { Divide both side by 5}

=> [tex]\fbox{5x/5 = 120/5}[/tex] { divide 5x by 5}

=> [tex]\fbox{x = 120/5}[/tex] { Divide 120 by 5}

=> [tex]\fbox{x = 24}[/tex]

Therefore, x = 24°

Answer:

The hypotenuse of the right triangle is 20.

Step-by-step explanation:

c=[tex]\sqrt\ a^2+b^2[/tex]

[tex]\sqrt{16^2+12^2}=20[/tex]

Answer:

We need to find the circumference, and in order to find the circumference we must know the formula for it.

Formula for circumference of a circle;

a = 2πr

Where π is the pi(3.14 or 22/7), and r is the radius which is half of the diameter.

Since we are given the diameter, we need to find the radius. So 1/2 of the diameter (26 x 1/2) = is 13

Now we just plug in the actual values in the formula:

a = 2πr

a = 2 x 3.14 x 13

a = 18.84 feet

But now, we need to find how many revolutions it would take to get to 500 feet.

So we divide 500 feet by 18.84 feet;

500/18.84 = 26.53, around 27 revolutions.

Answer:

profit of $2325

Step-by-step explanation:

so a loss of $4000 in the first month, with profit of $575 each month. let's say a year have 12 months, first month with loss, the other 11 months with profit. so, $575 x 11 months = $6325. $6325 is the amount for 11 months with $575 profit. take $6325 and minus with $4000 and you will get $2325, which is the profit for the first year.

Answer:

1 billion social security numbers

Step-by-step explanation:

Answer:

Bree hikes for 4 kilometers per hour

Answer:

D

Step-by-step explanation:

x represents time and y represents disrtance in relation to time.

(when you look at 1 sec you can tell that the y value is 4 meaning that the realtion is y=4x)

Answer:

X =0

Y=0

..........Am i right

Answer:

z = -4 + 6i

Step-by-step explanation:

A math conjugate is formed by changing the sign between two terms in a binomial. For instance, the conjugate of x+y is x−y . We can also say that x+y is a conjugate of x−y . In other words, the two binomials are conjugates of each other.

Answer:

6.89 x 10^14

Step-by-step explanation:

Answer:

i think that you forgot to attach the model?

Step-by-step explanation:

Answer:

Your answer would be 23.46

Answer:

158.76 square centimeters

Step-by-step explanation:

The quadrilateral is made up of 2 right triangles if you divide the quadrilateral using line segment BD.

The triangle on the bottom has an area of 11.7*15.6/2, which is 91.26.

The triangle on the top has an area of 7.5*18/2, which is 67.5.

If you add up the area of these 2 triangles, you get 67.5 + 91.26 = 158.76

Therefore, the answer is 158.76 square centimeters.

I hope this helped you.

Answer:

It would be 158.76 square centimeters

Step-by-step explanation:

Answer:

70,000

Step-by-step explanation:

hey you asked me to round. =D.

Answer:

$19.43

Step-by-step explanation:

Step-by-step explanation:

Given equation is:-

Dividing both sides by 4, we get

By doing simply, we get

Hence, the value of c will be ¾.

By using the given information we can infer the domains of the function, and we will see that the piecewise function is:

c(x) = $15*x   if  0 ≤ x ≤ 4

c(x) = $60 + 9*(x - 4)   if x > 4.

We know that the print charges $15 for each of the first four lines on an add, and $9 for each additional line.

Then we will have one piece for x between 0 and 4, and another piece for x larger than 4. The function will be:

c(x) = $15*x   if  0 ≤ x ≤ 4

c(x) = $60 + 9*(x - 4)   if x > 4.

Where the y-intercept on the second part is equal to the cost for the first four lines of the add.

If you want to learn more about piecewise functions, you can read:

https://brainly.com/question/3628123