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3 years ago

Solve 23 - Q >-3(2-6)

Mathematics

2 answers:

Vikki [24]3 years ago

6 0

Step-by-step explanation:

the answer is

q<11

23-q>12

Korolek [52]3 years ago

5 0

Answer:

q < 11

Step-by-step explanation:

Distribute the -3

23 - q > 12

Add q and subtract 12

q < 11

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a state employees pension fund invested a total of one million dollars into two accounts that earned 3.5 and 4.5 annual simple i

erik [133]

Let the investment in first account be x and this account is earning 3.5% interest

So Interest on this account is 3.5% of x = 0.035x

So the investment in second account would be (1,000,000-x) and this account is earning 4.5% interest

So the interest on this account is 4.5% of (1,000,000-x) = 0.045*(1,000,000-x)

Given that total interest for the year is $42,000

So we have

0.035x + 0.045(1,000,000-x) = 42,000

0.035x - 0.045x + 0.045*1,000,000 = 42,000

-0.01x + 45,000 = 42,000

-0.01x = 42,000-45,000

-0.01x = - 3000

0.01x = 3000

x = 3000/0.01

x= 3,00,000

Therefore Investment in one account s 300,000 and the investment in other account is 1,000,000-300,000 = 700,000

4 0

3 years ago

Using the technique in the model above, find the missing sides in this 30°-60°-90° triangle. Long = 3 Hypotenuse =

VMariaS [17]

Alright, if I have this right, first of all, your provided with only one side of the triangle, the long leg. You need to calculate the short leg, and then the hypotenuse for it to all be complete
1. Find the short leg's measurement by dividing the length of the long leg by the square root of 3 (use a calc.)
2. 3/ the square root of 3 = to 1.73
3. The length of the short leg, supposedly, is 1.73 (roughly, was rounded)
4. Find the hypotenuse by taking the length of the short leg times 2
5. 1.73*2=3.46, (roughly, was rounded)
6. Apply the measurements to the figure.
7. The long leg is equal to 3, the hypotenuse is equal to 3.46, and the short leg is equal to 1.73
~Hope this helps!
(Would appreciate brainliest :p)

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3 years ago

A soccer team played 160 games and won 65 percent of them. How many games did he win

il63 [147K]

If the soccer team played 160 games and won 65% of them, that means the team won 104 games.

5 0

3 years ago

Read 2 more answers

An aircraft is spotted by two observers who are 1000 feet apart. As the airplane passes over the line joining them, each observe

Karolina [17]

See the attached figure to better understand the problem

we know that
PB+BQ=1000 ft------->PB=1000-BQ-------> equation 1

in the triangle PAB
tan 50=AB/PB----------> AB=PB*tan 50------> equation 2

in the triangle ABQ
tan 25=AB/BQ------> AB=BQ*tan 25-------> equation 3

equals equation 2 and equation 3
PB*tan 50=BQ*tan 25--------> equation 4

substitute equation 1 in equation 4

[1000-BQ]*tan 50=BQ*tan 25-----> 1000*tan 50-BQ*tan 50=BQ*tan 25
BQ*[tan 25+tan 50]=1000*tan 50-----> BQ=1000*tan 50/[tan 25+tan 50]
BQ=718.76 ft
PB=1000-718.76-----> PB=281.24 ft
AB=PB*tan 50-----> 281.24*tan 50------> 335.17 ft

the answer is
335.17 ft

8 0

3 years ago

Find the x- and y- intercepts of the line 3x-4y=12

masha68 [24]

Answer:

see explanation

Step-by-step explanation:

Given

3x - 4y = 12

To find the x- intercept let y = 0 in the equation and solve for x

3x - 4(0) = 12

3x = 12 ( divide both sides by 3 )

x = 4 ← x- intercept ⇒ (4, 0 )

To find the y- intercept let x = 0 in the equation and solve for y

3(0) - 4y = 12

- 4y = 12 ( divide both sides by - 4 )

y = - 3 ← y- intercept ⇒ (0, - 3 )

6 0

3 years ago