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zavuch27 [327]
3 years ago
6

Can you plz help me I have hope for somebody to help me

Mathematics
1 answer:
zzz [600]3 years ago
6 0

Unit price of jeans = $22 => price of two pairs of jeans = 2*$22 = $44

unit price of t-shirts = $8

Money available = $120

Sara plans to buy two pairs of jeans, and as many t-shirts as possible (x) within the available budget of $120.

The constraint inequality is therefore

2*22+8x ≤ 120.................................(1)

If (1) is simplified, it becomes

44+8x ≤ 120

8x ≤ 120-44

x ≤ 76/8

x ≤ 9.5 => she can buy a maximum of 9 t-shirts.


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What’s the x intersect of the equation<br> -25 - 12x = -(-8x - 6) -3(5x+12)
erik [133]

-25 - 12x = -(-8x - 6) - 3(5x + 12)

Distributive property.

-25 - 12x = 8x + 6 - 15x - 36

Combine like terms.

-25 - 12x = -7x - 30

Add 12x to both sides.

-25 = 5x - 30

Add 30 to both sides.

5 = 5x

Divide both sides by 5.

x = 1

The x-intersect is 1.

8 0
3 years ago
$190,258.50; $152,698.00; $122,753.00; $220,523.00; $231,951.00. What is the average of these five amounts?
Yakvenalex [24]
The average of those five amounts is 183,636.7 
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3 years ago
Use the information given to enter an equation in standard form.
nexus9112 [7]

Answer:

y - 1.4x = - 6.8

Step-by-step explanation:

To find the equation: find the slope, use point-slope form to calculate the equation, then convert the equation to standard form.

Slope: \frac{45-31}{37-27} = \frac{14}{10} = 1.4

Use point slope form: y - y₁ = m(x - x₁)

Plug in x = 27, y = 31, and m = 1.4

y - 31 = 1.4(x - 27)

y - 31 = 1.4x - 37.8

y = 1.4x - 6.8

Convert this into standard form: ax + by = c

y - 1.4x = - 6.8

5 0
2 years ago
Use sigma notation to represent the sum of the first seven terms of the following sequence -4,-6,-8.....
lina2011 [118]

Answer:Answer:

\sum\left {{7} \atop {1}} \right -n(3+n)

Step-by-step explanation:

Given the sequence -4,-6,-8..., in order to get sigma notation to represent the sum of the first seven terms of the sequence, we need to first calculate the sum of the first seven terms of the sequence as shown;

The sum of an arithmetic series is expressed as S_n = \frac{n}{2}[2a+(n-1)d]

n is the number of terms

a is the first term of the sequence

d is the common difference

Given parameters

n = 7, a = -4 and d = -6-(-4) = -8-(-6) = -2

Required

Sum of the first seven terms of the sequence

S_7 = \frac{7}{2}[2(-4)+(7-1)(-2)]\\\\S_7 =  \frac{7}{2}[-8+(6)(-2)]\\\\S_7 =  \frac{7}{2}[-8-12]\\\\\\S_7 = \frac{7}{2} * -20\\\\S_7 = -70

The sum of the nth term of the sequence will be;

S_n = \frac{n}{2}[2(-4)+(n-1)(-2)]\\\\S_n = \frac{n}{2}[-8+(-2n+2)]\\\\S_n = \frac{n}{2}[-6-2n]\\\\S_n =  \frac{-6n}{2} -  \frac{2n^2}{2}\\S_n = -3n-n^2\\\\S_n = -n(3+n)

The sigma notation will be expressed as \sum\left {{7} \atop {1}} \right -n(3+n). <em>The limit ranges from 1 to 7 since we are to  find  the sum of the first seven terms of the series.</em>

3 0
3 years ago
10. Find the value of d in the similar polygons<br> below.
ruslelena [56]
D/7.29 = 1.5/4.05
d = (1.5/4.05)7.29 = 2.7
3 0
3 years ago
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