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VLD [36.1K]
3 years ago
5

Given this arithmetic sequence, find d 4,_,_,_,_,179

Mathematics
2 answers:
yawa3891 [41]3 years ago
7 0
a_1=4 \\ a_6=179 \\ \\ d= \frac{179-4}{6-1}= \frac{175}{5}=35

The answer is d=35
Margarita [4]3 years ago
5 0
4 + (6-1)d = 179 
<span>4 + 5d = 179 </span>
<span>5d = 175 </span>
<span>d = 35</span>
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Lindsey earns 5% commission off all sales in the clothing boutique she works at. If a customer bought $124.50 in merchandise, ho
postnew [5]

Answer:

Lindsey earned a commission of $6.23

Step-by-step explanation:

Given that:

Commission rate = 5%

Amount of merchandise bought by customer = $124.50

Commission amount = 5% of 124.50

Commission amount = \frac{5}{100}*124.50

Commission amount = 0.05 * 124.50

Commission amount = $6.225

Rounding off to nearest cent

Commission amount = $6.23

Hence,

Lindsey earned a commission of $6.23

3 0
3 years ago
The midpoint of the line segment from P1 to P2 is (-6,5). If P1 = (-7,8), what is P2?
kipiarov [429]
You can determine midpoint by
x-midpoint = (x₁ + x₂)/2
y-midpoint = (y₁ + y₂)/2

Given from the question
x-midpoint = -6
x₁ = -7
y-midpoint = 5
y₁ = 8

Asked from the question
(x₂, y₂)

Solution
Find x₂, input the value of x₁ and x-midpoint to the formula
(x₁ + x₂)/2 = x-midpoint
(-7 + x₂)/2 = -6
-7 + x₂ = -6 × 2
-7 + x₂ = -12
x₂ = -12 + 7
x₂ = -5

Find y₂, input the value of y₁ and y-midpoint to the formula
(y₁ + y₂)/2 = 5
(8 + y₂)/2 = 5
8 + y₂ = 5 × 2
8 + y₂ = 10
y₂ = 10 - 8
y₂ = 2

Answer
P₂ = (-5,2)
5 0
3 years ago
(Sugg<br> eous equations.<br> 3x + 2y = 12<br> 4x – y = 5
Ostrovityanka [42]

Answer:

1 × (3x + 2y = 12)

2 × (4x - y = 5)

3x + 2y = 12

+ (8x - 2y = 10)

= 11x = 22

divide both sides by the coefficient of 'x' (11)

Therefore x = 2

put (x = 2) in equation 1

3(2) + 2y = 12

6 + 2y = 12

2y = 12 - 6

2y = 6

divide both sides by the coefficient of 'y'(2)

Therefore y = 3

7 0
3 years ago
Question in the picture!!<br><br> looking for the answer of 3) and 4) !!<br><br> &lt;3
inna [77]

Answer:

3(percent): 75% 3(decimal): .75

4(percent):60% 4(fraction): 6/10 or 3/5, depending on wether or not you choose to simplify.

6 0
3 years ago
What is 5⁶ written in expanded form? o 5+5+5+5+5+5 5.5.5.5.5.5 ​
lara [203]

Answer:

5x5x5x5x5x5

Step-by-step explanation:

Your multiplying 5, six times and the answer is 15,625

Hope this helepd

4 0
3 years ago
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