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3 years ago

Evaluate 15r+6 (60-r)for r =20,30 and 40. what conclusion can you draw

Mathematics

1 answer:

7nadin3 [17]3 years ago

6 0

15 (20)+6(60-20)= 240

15 (30)+6(60-30)=630

15(40)+6(60-40)=720

you can conclude that none of the numbers have anything in common except that they all end in a 0

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I have to find out if there equivalent? 96 miles on 4 gallons,380 miles on 15 gallons?

erik [133]

24 miles is 1 gallon so 360 miles is 15 gallons + 24 is 384 miles so they are not equivalent!

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3 years ago

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MO bisects angle LMN , angle LMO = 6x-22 and angle NMO = 2x +34. Solve for x and find angle LMN.

Mkey [24]

Answer:

$x=14$

$\angle{LMN}=124\textdegree$

Step-by-step explanation:

To Determine:

Solve for x and find angle LMN.

Fetching Information and Solution Steps:

Considering the angle $\angle{LMN}$

As MO bisects the angle $\angle{LMN}$ into two equal angle parts. These equal angles are:

$\angle{LMO}=6x-22$

$\angle{NMO}=2x+34$

As these angles are equal. i.e.

$\angle{LMO}=\angle{NMO}$

$6x-22=2x+34$

$\mathrm{Add\:}22\mathrm{\:to\:both\:sides}$

$6x-22+22=2x+34+22$

$6x=2x+56$

$\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}$

$6x-2x=2x+56-2x$

$4x=56$

$\mathrm{Divide\:both\:sides\:by\:}4$

$\frac{4x}{4}=\frac{56}{4}$

$\mathrm{Simplify}$

$x=14$

Hence, $x=14$

As $\angle{LMN}$ was cut into two equal parts $\angle{LMO}$ and $\angle{NMO}$

So,

$\angle{LMN}$ = $\angle{LMO} + \angle{NMO}$

= $6x-22+2x+34$

= $8x + 12$

= $8(14) + 12$ ∵ $x=14$

= $124\textdegree$

Therefore, $\angle{LMN}=124\textdegree$

Keywords: angle bisector, congruent angles

Learn more about angle bisector and congruent angles from brainly.com/question/711370

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3 years ago

Jenna has $50 to spend at a local craft fair. The entrance price for the fair is $10. At a pottery stand. Jenna finds cups that

taurus [48]

Answer:

Step-by-step explanation:

4.5x+10<=50

4.5x<=50-10

4.5x<=40

x<=8.9

round down because can't go beyond 50

x=8 max

8 0

3 years ago

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A waffle cone has a height of 7 inches and a diameter of 3 inches. What is the volume of ice cream that can be contained within

Nata [24]

Hey there! I'm happy to help!

To find the volume of a cone, we multiply the base by the height and then divide by three.

First, we find the area of the base, which is a circle. To find a circle, you square the radius and then multiply by pi (or 3.14 in our case).

Radius is half of the diameter.

3/2=1.5

We square this.

1.5²=2.25

We multiply by 3.14

2.25×3.14=7.065

Now, we multiply this base area by the height.

7.065×7=49.455

We divide by 3.

49.455/3=16.485

Therefore, if we round this, our answer is 16.49 in³.

Now you can find the volume of a cone! Have a wonderful day! :D

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3 years ago

The table below represents a linear relationship. What is the slope of the line?

stealth61 [152]

Answer: side ways

Step-by-step explanation:

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2 years ago