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Natali5045456 [20]
2 years ago
11

If 7y + 42 <14 then which among the following is true​

Mathematics
1 answer:
lutik1710 [3]2 years ago
5 0

Answer:

y

Step-by-step explanation:

Given

7y + 42

Required

Determine the true statement

<em>Options are not given; but, the question can still be attempted.</em>

<em></em>7y + 42<em></em>

<em></em>

Collect Like Terms

7y < 14 -42

7y < -28

Divide through by 7

\frac{7y}{7} < -\frac{28}{7}

<em></em>y<em> -- This is true</em>

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Darius lives in Ohio and pays 5.5% in sales tax. If he just bought a sweatshirt that cost $24, what was the total amount he paid
ollegr [7]

In this question, we are required to find the total amount he paid to buy the shirt.

It is given that sales tax is 5.5 % over the amount paid.

The cost price of the shirt = $ 24.

The total amount will be = Cost price + 5.5 % of Cost price

Or

Total amount paid = $ 24 × 1.055 (i.e. 100 % + 5.5 %)

Total amount = $ 24 + (5.5 % × $ 24)

Total amount paid = $ 24 + $ 1.32 = $ 25.32


8 0
3 years ago
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−9x+4y=6 9x+5y=−33 ​
blsea [12.9K]

Answer:

{x,y} = {-2,-3}

Step-by-step explanation:

System of Linear Equations entered :

  [1]    -9x + 4y = 6

  [2]    9x + 5y = -33

Graphic Representation of the Equations :

   4y - 9x = 6        5y + 9x = -33  

Solve by Substitution :

// Solve equation [2] for the variable  y  

 

 [2]    5y = -9x - 33

 [2]    y = -9x/5 - 33/5

// Plug this in for variable  y  in equation [1]

  [1]    -9x + 4•(-9x/5-33/5) = 6

  [1]    -81x/5 = 162/5

  [1]    -81x = 162

// Solve equation [1] for the variable  x  

  [1]    81x = - 162  

  [1]    x = - 2  

// By now we know this much :

   x = -2

   y = -9x/5-33/5

// Use the  x  value to solve for  y  

   y = -(9/5)(-2)-33/5 = -3

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3 years ago
Can you please Help!!!! 20 points!!!!!!
Mademuasel [1]

Answer:

I'm doing the same thing and, I don't understand it either.

Step-by-step explanation:

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2 years ago
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What is 18 rounded to the nearst 1/4
Elina [12.6K]

Answer:

18

Step-by-step explanation:

1/4 is close to 0 so 18 rounded to the nearest ones place is just 18

8 0
3 years ago
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two mountain bikers leave from the same parking lot and head in opposite directions on two different trails. the first rider goe
sveta [45]

Applying the required <em>rule </em>or <em>theorem</em>, it can be concluded that the second biker is <u>farther</u> from the <em>parking lot</em>. The distance of the bikers to the <em>parking lot</em> are:

i. First biker = 17.0 km

ii. Second biker = 20.22 km

The <u>path</u> of travel of both bikers would form a triangle. Applying the <u>Pythagoras</u> theorem to the path of the <em>first</em> biker would give his <u>distance</u> from the starting point. While applying the <u>cosine</u> rule to the path of <em>second</em> rider would gives his <u>distance</u> to the starting point.

Thus,

a. <u>To determine the distance of the first biker from the parking lot.</u>

Let the required <em>distance </em>be represented by x. Applying the Pythagoras theorem, we have:

hyp^{2} = adj 1^{2} + adj 2^{2}

x^{2} = 8^{2} + 15^{2}

   = 64 + 225

   = 289

x = \sqrt{289}

  = 17

x = 17 km

Thus, the <u>first</u> biker is 17.0 km from the <em>starting</em> point.

b. <u>To determine the distance of the second biker from the parking lot.</u>

Let the required <em>distance</em> be represented by x. So that applying the cosine rule, we have:

c^{2} = a^{2} + b^{2} - 2ab Cos θ

x^{2} = 8^{2} + 15^{2} - 2(15*8) Cos (180 - 20)

    = 64 + 225 - 240 Cos 160

    = 289 - 240 * -0.5

x^{2} = 289 + 120

   = 409

x = \sqrt{409}

 = 20.2237

x = 20.22 km

Thus, the <u>second</u> biker is 20.22 km from the <em>starting</em> point.

Therefore, the second biker is <u>farther</u> from the <em>parking lot</em>.

A sketch of the path of travel for the two bikers is attached for more clarifications.

Visit: brainly.com/question/22699651

7 0
2 years ago
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