PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST

Rosa bought 70 feet of cable for $14.70. She needs 30 more feet. If the unit price is the same, how much will she pay for the ex

Murrr4er [49]

30 more feet will cost 6.30$

Step-by-step explanation:

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6 0

3 years ago

Read 2 more answers

alex is running in a clockwise direction around a circular track with radius 60 yards. he runs for 20 minutes at a speed of 4 ya

Ganezh [65]

Answer:

100.9 yards

Step-by-step explanation:

One circuit of the track is a distance of ...

C = 2πr = 2π(60 yd) = 120π yd.

At Alex's running rate, the distance covered in 20 minutes is ...

(4 yd/s)(20 min)(60 s/min) = 4800 yd

The number of circuits will be ...

(4800 yd)/(120π yd/circuit) = 40/π circuits ≈ 12.7324 circuits

The last of Alex's laps is more than half-completed, so the shortest distance to his starting point is 13 -12.7324 = 0.2676 circuits,

That distance is (0.2676 circuits)×(120π yd/circuit) ≈ 100.88 yd

The shortest distance along the track to Alex's starting point is about 100.9 yards.

_____

Additional comment

The exact distance is 120(13π-40) yards. The distance will vary according to your approximation for pi. If you use 3.14, this is about 98.4 yards.

3 0

2 years ago

2. "

Lesechka [4]

Answer:

In a quadrilateral, the two pairs of opposite angles are congruent. One of the properties of any quadrilateral is that the opposite angles must be congruent.

Step-by-step explanation:

6 0

3 years ago

If ef bisects angle ceb,angle cef=7x+31 and angle feb=10x-3

Nastasia [14]

Given : Angle < CEB is bisected by EF.

< CEF = 7x +31.

< FEB = 10x-3.

We need to find the values of x and measure of < FEB, < CEF and < CEB.

Solution: Angle < CEB is bisected into two angles < FEB and < CEF.

Therefore, < FEB = < CEF.

Substituting the values of < FEB and < CEF, we get

10x -3 = 7x +31

Adding 3 on both sides, we get

10x -3+3 = 7x +31+3.

10x = 7x + 34

Subtracting 7x from both sides, we get

10x-7x = 7x-7x +34.

3x = 34.

Dividing both sides by 3, we get

x= 11.33.

Plugging value of x=11.33 in < CEF = 7x +31.

We get

< CEF = 7(11.33) +31 = 79.33+31 = 110.33.

< FEB = < CEF = 110.33 approximately

< CEB = < FEB + < CEF = 110.33 +110.33 = 220.66 approximately

7 0

2 years ago

How many solutions does these equations have? One, infinite or no solutions?

s2008m [1.1K]

Answer:

1. 7(y + 3) = 5y+8: one solution

2. 10 + 6x= 2(5+3x): infinite solutions

3. 3x + 5 - x=2x + 7: no solutions

4. 4x - 4 = 2x + 8: one solution.

Explanation:

1. 7(y+3)=5y+8

a) Distributive property of multiplication over addtion:

7y + 21 = 5y + 8

b) Subtraction property of equalities:

7y - 5y = 8 - 21

c) Combine like terms:

2y = - 13

d) Division property of division:

y = - 13/2

e) Conclusion: the equation has one solution.

2. 10 + 6x = 2(5+3x)

a) Distributive property of multiplication over addition:

10 + 6x = 10 + 6x

b) Subtraction property of equality:

6x - 6x = 10 - 10

c) Simplify (combine like terms)

0 = 0

That is an identity, i.e. that is always true, no matter the value of x.

d) Conclusion: the equation has infinite solutions.

3. 3x + 5 - x = 2x + 7

a) Combine like terms:

2x + 5 = 2x + 7

b) Subtraction property of equalities:

2x - 2x = 7 - 5

c) Combine like terms (simplify)

0 = 2

That is always false, no matter the values of x.

d) Conclusion: the equation does not have any solutions.

4. 4x - 4 = 2x + 8

a) Subtraction property of equality

4x - 2x - 4 = 2x - 2x + 8

b) Combine like terms

2x - 4 = 8

c) Addtiion property of equalities:

2x = 8 + 4

d) Combine like terms (simplify)

2x = 12

e) Division property of equalities:

x = 6

f) Conclusion: the equation has one solution

5 0

3 years ago

PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST​

PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST