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charle [14.2K]
4 years ago
15

Solve 2(4x + 5) > 7x + 20.

Mathematics
1 answer:
choli [55]4 years ago
8 0
2(4x+5)>7x+20  perform indicated multiplication on left side

8x+10>7x+20  subtract 7x from both sides

x+10>20  subtract 10 from both sides

x>10

or in interval notation, x=(10, +oo)
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Vertices A and B of triangle ABC are on one bank of a river, and vertex C is on the opposite bank. The distance between A and B
Anna71 [15]

Answer:

The length of side b is 179 ft

Step-by-step explanation:

Given triangle ABC in which  

∠A = 33°, ∠B = 63°, c=200

we have to find the length of b

In ΔABC, by angle sum property of triangle

∠A+∠B+∠C=180°

33°+63°+∠C=180°

∠C=180°-33°-63°=84°

By sine law,

\frac{\sin \angle A}{a}=\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}

\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}

\frac{\sin 63^{\circ}}{b}=\frac{\sin 84^{\circ}}{200}

b=200\times \frac{\sin 63^{\circ}}{\sin 84^{\circ}}=179.182887\sim 179 ft

The length of side b is 179 ft

Option C is correct.

7 0
3 years ago
Larry bought 12 containers of pasta salad for a school picnic. Each container held the same number of ounces of salad. Students
tester [92]

Answer:

12 p - 8 p,  4p ( 3 - 2)

Step-by-step explanation:

p = equal the number of ounces of pasta salad in one container

then 12 × p = 12 p in 12 containers

the students finished the pasta salad in 8 containers which equals = 8 p

the number of ounces of pasta left = 12 p - 8 p  

b) using the distributive property for example a ( b + c) = ( a×b) + (a ×c)

12 p - 8 p = 4p ( 3 - 2)

6 0
3 years ago
What is another way to describe an equailteral triangel
raketka [301]

Answer:

c

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
tom has 6 quarters and 12 dimes in his pocket how many coins does he need to take out his pocket to make sure he has 4 quarters
Alex777 [14]
He would have to take out at least 16 coins.

Taking any less could result in having fewer quarters since even 15 could result in <span>12 dimes and 3 quarters. This way it will always be at least 4 quarters.</span>
3 0
4 years ago
A car is driving at a speed of 60 mi/h. What is the speed of the car in feet per minute?
Inga [223]
1mile=5280ft\\\\1h=60min\\\\60\ \frac{mi}{h}=60\cdot\frac{5280}{60}\ \frac{ft}{min}=5280\ ft/min
3 0
3 years ago
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