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Sati [7]
3 years ago
13

Lily took a survey of 80 students on 7th grade and 150 students in 8th grade she found that 80% of the 7th graders like country

music while only 60% of the 8th graders like it. Which grade has more students who like country
Mathematics
1 answer:
Anarel [89]3 years ago
8 0

Answer:

Step-by-step explanation:

80 over 100*150

80 divided by 100=0.8 *150=1208student

0.8 *60=48

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Jeremiah scored 28 points in yesterday's
skad [1K]

Answer:

There you go , happy to help

4 0
2 years ago
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A lighthouse is built on an exposed reef, 4.5 miles off-shore. The shoreline is perfectly straight, and a town is located 6 mile
Alisiya [41]

Answer: 3.94 hours

Step-by-step explanation:

From the question, the following parameters are given:

Distance offshore = 4.5 miles

Distance downshore = 6 miles

Speed when running = 3.4 mph

Speed with boat = 1.8 mph

distance of boat rowing = sqrt(4.5^2 + x^2)

Where

Speed = distance/time

Time = distance/speed

Time = distance of boat rowing/1.8

distance of running = 6 - x

Time = (6-x)/3.4

total travel time

t = sqrt(4.5^2 + x^2)/1.8 + (6 - x)/3.4

dt/dx = x/(1.8×sqrt(4.5^2 + x^2) - 1/3.4

d^2t/dx^2 = +ve at any x

x is at its minimum when dt/dx=0

x/(1.8×sqrt(4.5^2 + x^2) = 1/3.4

x = 6/sqrt(253) × 4.5 = 1.697 miles

Substitute x in

t = sqrt(4.5^2 + x^2)/1.8 + (6 - x)/3.4

We obtaine

t = sqrt(4.5^2 + 1.697^2)/1.8 + (6 - 1.69)/3.4

t = 2.672+ 1.266 = 3.94 hours

7 0
2 years ago
Select the simplification that accurately explains the following statement.
lutik1710 [3]

Answer:

Option (b) is correct.

(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}=2^{1}=2

Step-by-step explanation:

Given: (2^\frac{1}{4} )^4

We have too choose the correct simplification for the given statement.

Consider (2^\frac{1}{4} )^4

Using property of exponents, (a^m)^n=a^m\times a^m\times a^m\times ....\times (n\ times)

We have,

(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}

Again applying property of exponents  a^m\times a^m=a^{n+m}

We have,

(2^\frac{1}{4} )^4=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}

Simplify, we have,

(2^\frac{1}{4} )^4=2^{\frac{4}{4}}

we get,

(2^\frac{1}{4} )^4=2^{1}=2

Thus, (2^\frac{1}{4} )^4=2

Option (b) is correct.

   

8 0
3 years ago
Read 2 more answers
I need this ASAP please
adelina 88 [10]

Answer:

m>2 is the correct answer

5 0
3 years ago
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Solve. x2 + 14 = 9x A) x = 2, x = 7 B) x = 3, x = 5 C) x = −2, x = −7 D) x = −3, x = −5
chubhunter [2.5K]

Answer:

A) x = 2, x = 7

Step-by-step explanation:

x^2 + 14 = 9x

Subtract 9x from each side

x^2-9x + 14 = 9x-9x

x^2-9x + 14 = 0

What 2 numbers multiply to 14 and add to -9

-7*-2 = 14

-7+-2 = -9

(x-7)(x-2) = 0

Using the zero product property

x-7 = 0   x-2 =0

x=7   x=2

7 0
3 years ago
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