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bezimeni [28]
2 years ago
15

Steps for solving 3x+18=54 are shown explain how step 1 helps solve the equation

Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
4 0

Answer:

The answer is x=12.

Step-by-step explanation:

First, to solve this equation you need to isolate the x variable. To isolate the variable, you must, subtract the other term from both sides. Subtracting 18 from both sides, you are left with 3x = 36. Since 3 times x = 36, dividing both sides by 3 gets you, x=12.

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In the diagram below segment DEF is shown(since all three letters are shown, they are collinear). If DE=3x+2, EF= x+5, and DF= 2
amm1812

The value of x is 4.

By Geometry, we know that line segment DF = DE + EF, which is equivalent to:

DF = 3\cdot x + 2 + x + 5

DF = 4\cdot x + 7 (1)

Now we solve algebraically the resulting expression.

If we know that DF = 23, then we solve the equation for x:

4\cdot x + 7 = 23

4\cdot x = 16

x = 4

The value of x is 4.

We kindly invite to see this question on line segments: brainly.com/question/23297288

6 0
2 years ago
Candice and christ run a relay race at recess. Candice runs 1/2 of a lap around the track. Chris runs 1/3 of a lap around the tr
eduard

Answer:

Candice ran 1/6 of a lap further than Chris.

Step-by-step explanation:

we know that

To find out how much further Candice runs than Chris, subtract the distance Chris runs from the distance Candice runs

so

\frac{1}{2}-\frac{1}{3}=\frac{3-2}{6}=\frac{1}{6}\ lap

therefore

Candice ran 1/6 of a lap further than Chris.

5 0
3 years ago
A bicyclist rides 16 km in 30 min. What is the bicyclist's average speed in km/h?
kow [346]

Answer:

32 km/h

Step-by-step explanation:

Since there are 60 minutes in an hour, we can find their speed in km/h by multiplying the current distance by 2:

16(2)

= 32

This means the bicyclist can ride 32 km in 1 hour.

So, their speed is 32 km/h

6 0
2 years ago
Your school club has a bake sale to raise money. Your club offers muffins for $.50 each and bagels for $.75 each. In one hour yo
zhannawk [14.2K]

Answer:

18 muffins

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=34 (1)

0.50x+0.75y=21 (2)

where x is the number of muffins and y is the number of bagels.

First, you can isolate x in (1):

x=34-y (3)

Then, you can replace (3) in (2):

0.50(34-y)+0.75y=21

17-0.5y+0.75y=21

0.25y=21-17

0.25y=4

y=4/0.25

y=16

Now you can replace the value of "y" in (3):

x=34-16

x=18

According to this, the answer is that you sold 18 muffins.

5 0
3 years ago
What is the solution of the following system of equation x +y = 2 x - y = 4
sergiy2304 [10]

Answer:

X+y=2

x-y=4

(x+y)+(x-y)= 2+4

X+y+x-y=6

2x=6

X=3

3+y=2    or 3-y=4

Y=-1

3+(-1)=2 or 3-(-1)=4

Step-by-station:

7 0
3 years ago
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