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

Adding 3 on both sides both sides of inequality

Dividing both sides of inequality by 2

The solution to the inequality 5x-3(x+1)<7 is x<5.
Keywords: inequality, division
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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°
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 = 
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.
<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:


Step-by-step explanation:
Given
Spruce Tree (s):

(yearly)
Hemlock Tree (h):

(yearly)
Required
Represent as system of linear equations
Let the number of years be x.
In both cases, the equation can be formed using:

For Spruce Tree (s):


For Hemlock Tree (h):


<em>Hence, the equations are </em>
<em> and </em>
<em></em>
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