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alina1380 [7]
3 years ago
14

5(x + 20) = 7x + 30

Mathematics
2 answers:
Ostrovityanka [42]3 years ago
5 0
Start by multiplying out the 5
5x + 100 = 7x + 30

Subtract 5x from both sides
100 = 2x +30

Subtract 30 from both sides
70 = 2x

Divide by 2
x=35
Leto [7]3 years ago
3 0

x = 35

step by step in picture:

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A cylinder has a volume of 320x cubic inches and a height of 5 inches.
oksano4ka [1.4K]

Answer: 8 inches

Step-by-step explanation:

320π in³= π (r²) (5 in)

64 in² = r²

r = 8 in

7 0
3 years ago
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers t
ehidna [41]

Answer:

The probability that more than a third of the buyers would prefer brown is 0.8491.

Step-by-step explanation:

This is binomial problem with n=15 and p=0.50.

The binomial formula of probaility is:

P(X=x)=\frac{n!}{x!(n-x)!} p^{x} (1-p)^{n-x}

More than a third of the buyers: 15÷3=5

We have to find P(x>5).

P(x>5) = 1 - P(x≤5) = 1 - P(x=0) - P(x=1) - P(x=2) - P(x=3) - P(x=4) - P(x=5)

P(x=0)=\frac{15!}{0!15!} (0.5)^{0} (1-0.5)^{15}=0.00003

P(x=1)=\frac{15!}{1!14!} (0.5)^{1} (1-0.5)^{14}=0.00046

P(x=2)=\frac{15!}{2!13!} (0.5)^{2} (1-0.5)^{13}=0.00320

P(x=3)=\frac{15!}{3!12!} (0.5)^{3} (1-0.5)^{12}=0.01389

P(x=4)=\frac{15!}{4!11!} (0.5)^{4} (1-0.5)^{11}=0.04165

P(x=5)=\frac{15!}{5!10!} (0.5)^{5} (1-0.5)^{10}=0.09164

P(x>5) = 1 - P(x≤5)= 1- 0.00003 - 0.00046 - 0.00320 - 0.01389 - 0.04165 - 0.09164 = 0.8491

4 0
3 years ago
Find the area. please show steps!
garri49 [273]

Answer:

96 in²

Step-by-step explanation:

The surface area of the square pyramid is the area of the square base plus the area of the four triangular faces.  The slant length is the height of each triangle.

A = s² + 4 (½ sL)

A = s² + 2sL

Given s = 6 and L = 5:

A = (6)² + 2(6)(5)

A = 36 + 60

A = 96

The area that needs to be painted is 96 in².

7 0
3 years ago
One angle of a triangle is 30° more than the smallest angle. The largest angle is the sum of the other angles. Find the measures
vladimir1956 [14]

Answer: \boxed{30^{\circ}, 60^{\circ}, 90^{\circ}}

Step-by-step explanation:

Let the smallest angle be x.

Then, the middle angle is x+30.

The largest angle is 2x+30.

Angles in a triangle add to 180 degrees, so:

x+x+30+2x+30=180\\\\4x+60=180\\\\4x=120\\\\x=30

So, the angles measure \boxed{30^{\circ}, 60^{\circ}, 90^{\circ}}

6 0
2 years ago
Please help me estimate each product.show how you find each answer please.
WITCHER [35]
1 is 9,000 just round up or down and then mulitpy
2 is 6,400
3 is 11,100
4 is 1,200
5 is 189,000
6 is 6,300
7 is 53,000
8 is 4,300
9 is 7,800 
that all i can do they might not all be right 
4 0
3 years ago
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