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Alinara [238K]
4 years ago
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$18.99 CD; 6% markup

Mathematics
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Zinaida [17]4 years ago
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Solve the linear inequality. <br> 5x-3(x+1)&lt;7
Bond [772]

The solution to the inequality 5x-3(x+1)<7 is x<5.

Step-by-step explanation:

Given inequality is;

5x-3(x+1)<7

Solving the inequality

5x-3x-3

Adding 3 on both sides both sides of inequality  

5x-3x-3+3

Dividing both sides of inequality by 2

\frac{2x}{2}

The solution to the inequality 5x-3(x+1)<7 is x<5.

Keywords: inequality, division

Learn more about division at:

  • brainly.com/question/11016712
  • brainly.com/question/11108818

#LearnwithBrainly

3 0
4 years ago
Two angles are supplementary. One angle is 36 degrees bigger than the other. What is the measure of the bigger angle
Lorico [155]

let the other angle be x degree

bigger angle = x +36°

According to the question,

x+36° + x° = 180°

=> 2x = 180–36

=> x = 144/2

=> x = 72°

Measure of the bigger angle = x + 36

= 72° + 36°

= 108°

5 0
4 years ago
A seven-year medical research study reported that women whose mothers took the drug
podryga [215]

Answer:

Step-by-step explanation:

a) The two populations were i) the pregnant mothers who took the drug ii) the pregnant mothers who did not take the drugs

b) The data must have been obtained in a survey because experiment was not done.

c) 63 out of 3980 developed abnormalities in I case.

Hence out of 1000 abnormalities estimated = \frac{63}{3980} *1000\\=15.829\\

i.e. approximately 16

d) Mothers who did not take drug

(information incomplete)

e) Medical hypothesis testing requires accurate results and hence sample sizes should be very large.

4 0
3 years ago
You plant a spruce tree that grows 4 inches per year and a hemlock tree that grows _____ inches per year. The initial heights ar
UNO [17]

<em>Complete Question:</em>

<em>You plant an 8-inch spruce tree that grows 4 inches per year and a 14-inch hemlock tree that grows 6 inches per year. </em>

<em>The initial heights are shown. </em>

Write a system of linear equations that represents this situation.

Answer:

s(x) = 8 + 4x

h(x) = 14 + 6x

Step-by-step explanation:

Given

Spruce Tree (s):

Initial\ Height = 8

Growth = 4 (yearly)

Hemlock Tree (h):

Initial\ Height = 14

Growth = 6 (yearly)

Required

Represent as system of linear equations

Let the number of years be x.

In both cases, the equation can be formed using:

Equation = Initial\ Height + Growth * x

For Spruce Tree (s):

s(x) = 8 + 4 * x

s(x) = 8 + 4x

For Hemlock Tree (h):

h(x) = 14 + 6 * x

h(x) = 14 + 6x

<em>Hence, the equations are </em>s(x) = 8 + 4x<em> and </em>h(x) = 14 + 6x<em></em>

3 0
3 years ago
In ANOP, NP is extended through point P to point Q, m_OPQ = (9x – 19)°,
jarptica [38.1K]

Answer:

The values of x and y are x = 6 and y = 9Step-by-step explanation:

MNOP is a parallelogram its diagonal MO and PN intersected at point A

In any parallelogram diagonals:

Bisect each other

Meet each other at their mid-point

In parallelogram MNOP

∵ MO and NP are its diagonal

∵ MO intersect NP at point A

- Point A is the mid-point pf them

∴ MO and NP bisect each other

∴ MA = AO

∴ PA = AN

∵ MA = x + 5

∵ AO = y + 2

- Equate them

∴ x + 5 = y + 2 ⇒ (1)

∵ PA = 3x

∵ AN = 2y

- Equate them

∴ 2y = 3x

- Divide both sides by 2

∴ y = 1.5x ⇒ (2)

Now we have a system of equations to solve it

Substitute y in equation (1) by equation (2)

∴ x + 5 = 1.5x + 2

- Subtract 1.5x from both sides

∴ - 0.5x + 5 = 2

- Subtract 5 from both sides

∴ - 0.5x = -3

- Divide both sides by - 0.5

∴ x = 6

- Substitute the value of x in equation (2) to find y

∵ y = 1.5(6)

∴ y = 9

The values of x and y are x = 6 and y = 9

5 0
2 years ago
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