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3 years ago

Can someone please help me with this math problem?

Mathematics

1 answer:

elena55 [62]3 years ago

4 0

1) slope= 1.5/3
y-inter= 3
2) slope=3/2
y-inter=2

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A family went on vacation and used 45.3 gallons of gasoline to travel 150 miles. How many total gallons of gasoline will they ne

victus00 [196]

Answer:

d) $105.7\ \text{gallons}$

Step-by-step explanation:

$150\ \text{miles}$ requires $45.3\ \text{gallons of fuel}$

$1\ \text{mile}$ requires $\dfrac{45.3}{150}\ \text{gallons of fuel}$

$200\ \text{miles}$ requires $200\times \dfrac{45.3}{150}=60.4\ \text{gallons of fuel}$

So, total amount of gasoline required for the trip is $60.4+45.3=105.7\ \text{gallons}$ .

6 0

3 years ago

Lines AD and BE intersect at point C, as shown. create an expression that represents the measure of the angle DCE in terms if X

Liula [17]

Answer:

Please, find the image with the diagram of the lines corresponding to this question:

The answers are:

Equation: m ∠ DCE = 180º - x

Value of x = 60º

Explanation:

First question:

You must use the fact that the angles DCE and BCD are adjacent angles, because they share the vertex (C) and have a common side (CD).

Thus, as a first fact, the measure of the angle BCE is equal to the sum of the measures of the angles BCD and DCE.

On the other hand, BE is a straight line, thus the measure of angle BCE is 180º.

Hence, you can write:

m ∠ DCE + m ∠ DCB = 180º

m ∠ DCE + x = 180º

m ∠ DCE = 180º - x

Second question:

Solve for x:

Given: m ∠ DCE = 180º - x

Add x to both sides: m ∠ DCE + x = 180º

Subtract m ∠ DCE from both sides: x = 180º - m ∠DCE

Substitute m ∠DCE with 120º:

x = 180º - 120º = 60º

Hence, for m ∠DCE = 120º, x = 60º.

5 0

3 years ago

Ik this isnt mathematics but heres my question.

natka813 [3]

Answer:

Explanation:

the wheels are getting warmer so it would have to be thermal energy, hope this helps :)

6 0

3 years ago

The radius of a sphere is 6 cm which is the volume of the sphere

Margarita [4]

Answer:

3 or C

Step-by-step explanation:

The volume of a sphere is denoted by: V = $\frac{4}{3} \pi r^{3}$ , where r is the radius.

Here, r = 6, so we just plug in this value: V = $\frac{4}{3} \pi (6^3)=\frac{4}{3} \pi *216=288\pi$

So, the answer is 3 or C.

Hope this helps!

8 0

3 years ago

Consider a quadratic equation with integer coefficients and two distinct zeros. If one zero is irrational, what is true about th

vlabodo [156]

Answer:

Step-by-step explanation:

irrational roots always occur in pairs.

Other root is also irrational and is negative of first zero.

4 0

3 years ago