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2 years ago

Simplify:

Mathematics

2 answers:

Fantom [35]2 years ago

8 0

Answer:

6x+14

Step-by-step explanation:

Put like terms together to do that rearrange the equation so that you have:

4x-x+3x+2+12

Now 4x-x+3x= 6x

2+12= 14

rewona [7]2 years ago

5 0

Answer:

6x +14

Step-by-step explanation:

4x+2-x+12+3x

Combine like terms

4x -x +3x +2 +12

6x + 14

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What are three different ways to make the number 15,638 with only hundreds, tens, and ones?

Mademuasel [1]

156 hundreds 3 teens and 8 ones I believe

3 0

2 years ago

Read 2 more answers

A steel pipe 100 cm long has an outside diameter of 2 cm and an inside diameter of 1.8 cm. If thee density of the steel is 7.8 g

ELEN [110]

Answer:

The mass of the pipe is $465\ g$

Step-by-step explanation:

step 1

Find the volume of the steel pipe

The volume is equal to the area of outside circle minus the area of inside circle, multiplied by the length of the pipe

$V=\pi [r2^{2}-r1^{2}]L$

we have

$r2=2/2=1\ cm$ ---> the radius is half the diameter

$r1=1.8/2=0.9\ cm$ ---> the radius is half the diameter

$L=100\ cm$

$\pi=3.14$

substitute

$V=(3.14)[1^{2}-0.9^{2}](100)=59.66\ cm^{3}$

step 2

Find the mass

The mass is equal to the density multiplied by the volume

$m=7.8(59.66)=465\ g$

8 0

2 years ago

A walking trail is 1,580.76 feet long. A lake is located 70.62 feet away from the end of the trail. What is the total distance f

Aleks04 [339]

Answer: $1651.38\ ft$

Step-by-step explanation:

Given

A walking trail is $1580.76\ ft$ long and a lake is located $70.62\ ft$ away from end of the trail

The distance from the start of the trail to the lake is the sum of the length of the trail and lake

$\Rightarrow 1580.76+70.62\\\Rightarrow 1651.38\ ft$

5 0

2 years ago

In exercises 1 and 2, find m<1 and m<2. Tell which theorem you used in each case.

solniwko [45]

Answer:

m∠2 = 78°

Step-by-step explanation:

From the given picture,

lines 'm' and 'n' are the parallel lines and line 't' is the transverse line.

∠1 and angle with the measure of 78° are corresponding angles.

Therefore, m∠1 = 78°

m∠1 = m∠2 [Vertical angles are equal]

m∠2 = 78°

8 0

2 years ago

Segment GI is congruent to Segment JL and Segment GH is congruent to Segment KL. I have to prove Segment HI is congruent to Segm

madreJ [45]

Answer:

See explanation

Step-by-step explanation:

1 step: $\overline{GI}\cong \overline {JL}$ - given

2 step: $\overline{GI}\cong \overline{GH}+\overline{HI}$ - Segments Addition Postulate

3 step: $\overline{GH}+\overline{HI}\cong \overline {JL}$ - Substitution Property

4 step: $\overline {JL}\cong \overline {JK}+\overline {KL}$ - Segments Addition Postulate

5 step: $\overline{GH}+\overline{HI}\cong \overline {JK}+\overline {KL}$ - Substitution Property

6 step: $\overline{GH}\cong \overline {KL}$ - given

7 step: $\overline{GH}+\overline{HI}\cong \overline {JK}+\overline {GH}$ - Substitution Property of Equality

8 step: $\overline{HI}\cong \overline {JK}$ - Subtraction Property of Equality

3 0

2 years ago