Ask question

Ask question

All categories

sweet-ann [11.9K]

3 years ago

10

What is the value of a in the equation 3a + b = 54, when b = 9?

2 answers:

damaskus [11]3 years ago

7 0

$3a+b=54\\\\ Substitute\ b\ =\ 9\ into\ the\ equation.\\\\3a+(9)=54\\\\Subtract\ 9\ on\ both\ sides.\\\\3a=45\\\\Divide\ by\ 3\ on\ both\ sides.\\\\{\boxed{a=15}$

makvit [3.9K]3 years ago

3 0

If you would like to solve the equation 3 * a + b = 54, when b = 9, you can calculate this using the following steps:

b = 9
3 * a + b = 54
3 * a + 9 = 54
3 * a = 54 - 9
3 * a = 45 /3
a = 45/3
a = 15

The correct result would be 15.

You might be interested in

Please answer quickly!

salantis [7]

Answer:

0/6 <--------------------------

5 0

2 years ago

Read 2 more answers

Describe an estimate that Felicia might do in her head while driving to decide how many gallons of gas she needs to make it to t

sveticcg [70]

There's not enough info to answer this question. How far is the other gas station? And how many gallons of gas does she use for the distance?

7 0

2 years ago

6=xy does this show direct variation Explain your reasoning. ANSWER THIS PLZ

Lelechka [254]

Answer:

No. It is an inverse variation.

Step-by-step explanation:

6= xy

Making y the subject of formula:

$y = \frac{6}{x}$

For a direct variation, the equation would be in the form of y=kx, where k is a constant.

However, the equation above is in the form of $y = \frac{k}{x}$ .

Thus, 6=xy does not show direct variation.

8 0

2 years ago

You jogged 11 km at an average speed of 10 km per hour how long did you jog

Scilla [17]

1 hour and 6 minutes!

8 0

2 years ago

the base of a solid is the region enclosed by a circle having a radius of 7 cm. find the volume of the solid if all plane sectio

tamaranim1 [39]

Answer:

$V=621.8\ cm^3$

Step-by-step explanation:

we know that

If the base of the solid is a circle and all plane sections perpendicular to a fixed diameter of the base are equilateral triangles

then

The solid is a cone

The volume of a cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=7\ cm$

Find out the height of the cone

Remember that

If all plane sections perpendicular to a fixed diameter of the base are equilateral triangles

then

The length side of each equilateral triangle is equal to the diameter of the base

Applying the Pythagoras Theorem find out the height of the cone

$D^{2}=r^{2} +h^{2}$

we have

$D=(2)7=14\ cm$ ----> the diameter is two times the radius

$r=7\ cm$

substitute and solve for h

$14^{2}=7^{2} +h^{2}$

$h^{2}=14^{2}-7^{2}$

$h^{2}=147$

$h=\sqrt{147}\ cm$

Find the volume

$V=\frac{1}{3}\pi (7)^{2}\sqrt{147}$

$V=198.03\pi\ cm^3$

assume

$\pi =3.14$

$V=198.03(3.14)=621.8\ cm^3$

5 0

3 years ago