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Hitman42 [59]
3 years ago
13

George jogged a total distance of 9 and 1 over 2 miles during the months of October and November. If George only jogged 1 over 4

mile every day, which expression shows the number of days in which he went jogging?
Mathematics
2 answers:
Paul [167]3 years ago
8 0

Answer:

Number of days George went for jogging will be t = \frac{\frac{19}{2}}{\frac{1}{4} } days

Step-by-step explanation:

George jogged total distance = 9\frac{1}{2}=\frac{19}{2} miles

Since George jogged per day = \frac{1}{4} miles

Let total number days George jogged for = t days

Therefore, total distance jogged by George in t days = (\frac{1}{4})\times t miles

Total distance given as \frac{19}{2} miles will be equal to the distance traveled in t days.

Equation to determine the value of t will be

(\frac{1}{4})\times t = \frac{19}{2}

t = \frac{\frac{19}{2}}{\frac{1}{4} } days

Therefore, number of days George went for jogging will be t = \frac{\frac{19}{2}}{\frac{1}{4} } days

Elanso [62]3 years ago
6 0
(9 and 1/2)/(1/4)= number of days he went jogging
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HELP PLEASE!! THANK YOU!
dmitriy555 [2]

Answer: choice B, 40.5 degrees

The triangle is isosceles based on the fact that AC = BC (the tick marks are the same). The angles opposite the congruent sides are also congruent

angle A = angle B = x for some unknown number x

The three angles A,B,C add to 180, so,

A+B+C = 180

x+x+99 = 180

2x+99 = 180

2x = 180-99

2x = 81

x = 81/2

x = 40.5

So angle A and angle B are both 40.5 degrees

Check:

A+B+C = 180

40.5+40.5+99 = 180

180 = 180 answer is confirmed

==============================

Edit

The sides with the two tick marks are the same length, so 7x-4 is the same as length as 31

7x-4 = 31

7x = 31+4

7x = 35

x = 35/7

x = 5

Answer is choice B) 5

3 0
3 years ago
Which expression is equivalent to 3(m − 3) + 4?<br><br> 3m + 1<br> 3m − 5<br> 3m + 13<br> 3m − 3
Volgvan

Answer:

3m - 5

Step-by-step explanation:

3(m - 3) + 4           Distribute the 3

3m - 9 + 4             Simplify

3m - 5

6 0
2 years ago
Read 2 more answers
5x-3x(26x-7x-28x) systems of equation
labwork [276]

Simplifying
5x + 2(8x + -9) = 3(x + 4) + -5(2x + 7)

Reorder the terms:
5x + 2(-9 + 8x) = 3(x + 4) + -5(2x + 7)
5x + (-9 * 2 + 8x * 2) = 3(x + 4) + -5(2x + 7)
5x + (-18 + 16x) = 3(x + 4) + -5(2x + 7)

Reorder the terms:
-18 + 5x + 16x = 3(x + 4) + -5(2x + 7)

Combine like terms: 5x + 16x = 21x
-18 + 21x = 3(x + 4) + -5(2x + 7)

Reorder the terms:
-18 + 21x = 3(4 + x) + -5(2x + 7)
-18 + 21x = (4 * 3 + x * 3) + -5(2x + 7)
-18 + 21x = (12 + 3x) + -5(2x + 7)

Reorder the terms:
-18 + 21x = 12 + 3x + -5(7 + 2x)
-18 + 21x = 12 + 3x + (7 * -5 + 2x * -5)
-18 + 21x = 12 + 3x + (-35 + -10x)

Reorder the terms:
-18 + 21x = 12 + -35 + 3x + -10x

Combine like terms: 12 + -35 = -23
-18 + 21x = -23 + 3x + -10x

Combine like terms: 3x + -10x = -7x
-18 + 21x = -23 + -7x

Solving
-18 + 21x = -23 + -7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7x' to each side of the equation.
-18 + 21x + 7x = -23 + -7x + 7x

Combine like terms: 21x + 7x = 28x
-18 + 28x = -23 + -7x + 7x

Combine like terms: -7x + 7x = 0
-18 + 28x = -23 + 0
-18 + 28x = -23

Add '18' to each side of the equation.
-18 + 18 + 28x = -23 + 18

Combine like terms: -18 + 18 = 0
0 + 28x = -23 + 18
28x = -23 + 18

Combine like terms: -23 + 18 = -5
28x = -5

Divide each side by '28'.
x = -0.1785714286

Simplifying
x = -0.1785714286
3 0
3 years ago
In the figure, triangles ABC and DEF are congruent.
Zinaida [17]
It’s d hope it helps
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2 years ago
PLZ help with expression
umka2103 [35]
The last two options are correct, but it looks like you’ve got them :)
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3 years ago
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