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Vaselesa [24]
2 years ago
9

A middle school band has 45 sixth and seventh graders The ratio of sixth to seventh graders is 2 to 3 how many sixth graders are

in the band? Explain how you got your answer
Mathematics
1 answer:
AnnyKZ [126]2 years ago
5 0

Answer:

  18

Step-by-step explanation:

There are 2+3 = 5 ratio units representing 45 band members, so each ratio unit represents 45/5 = 9 band members.

The 2 ratio units of sixth graders represent 2×9 = 18 sixth grade band members.

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An arc on a circle measures 250°. Within which range is the radian measure of the central angle? 0 to StartFraction pi Over 2 En
Alex Ar [27]

Answer:

The central angle is within the range π to 3π/2

Step-by-step explanation:

To convert from degrees to radians, we multiply the angle in degrees by 180/π.

To convert from radians to degree, we multiply the angle in radians by 180°/π.

π/2 = π/2 X 180°/π= 90°

π rad = π X 180°/π= 180°

3π/2 = 3π/2 X 180°/π= 270°

2π = 2π X 180°/π= 360°

Therefore the angle 250 which is between 180 and 270 is within the range :

π to 3π/2

4 0
2 years ago
Read 2 more answers
An employment agency requires applicants average at least 70% on a battery of four job skills tests. If an applicant scored 70%,
brilliants [131]

Answer:

atleast 52

Step-by-step explanation:

Given that an employment agency requires applicants average at least 70% on a battery of four job skills tests.

An applicant scored 70%, 77%, and 81% on the first three exams,

Since weightages are not given we can assume all exams have equal weights

Let x be the score on the 4th test

Then total of all 4 exams = 70+77+81+x\\= 228+x

Average should exceed 70%

i.e.\bar X \geq 70\\Total\geq 70(4) =280

Comparing the two totals we have

228+x\geq 280\\x\geq 280-228 = 52

Hemust  score on the fourth test a score atleast 52 to maintain a 70% or better average.

3 0
1 year ago
The weight y of an object on Jupiter is proportional to the weight x of the object on Earth. An object that weighs 150 pounds on
svetoff [14.1K]
Weight of an object=J
x=J/(379.2/150)
x=J/2.528

y=12.64/2.528
y=5

Hope this helps :)
7 0
1 year ago
Read 2 more answers
The local pizza shop sells several special items.
Anna35 [415]

Answer:

Tax for Italian Salad=$0.20

Tax for Lasagna= $0.43

Tax for  Spaghetti =$0.21

Tax for Fettuccini Alfredo   =$0.36

Step-by-step explanation:

Hi, to answer this question we have to multiple the price of each item by the tax percentage in decimal form (divided by 100):

Italian Salad =$3.99  

  • Tax for Italian Salad= 3.99 x (5/100) = 3.99 x 0.05 =$0.20

Lasagna =$8.50  

  • Tax for Lasagna= 8.50 x (5/100) = 8.50 x 0.05 =$0.43

Spaghetti =$4.29  

  • Tax for Spaghetti = 4.29x (5/100) = 4.29 x 0.05 =$0.21

Fettuccini Alfredo =$7.17

  • Tax for Fettuccini Alfredo = 7.17 x (5/100) = 7.17 x 0.05 =$0.36

Feel free to ask for more if needed or if you did not understand something.  

6 0
1 year ago
Read 2 more answers
When Cara drives to work, it takes her 30 minutes to drive 15 miles. On her days off, she likes to drive to her favorite donut s
brilliants [131]

Answer:

3 miles

Step-by-step explanation:

First, we find the rate at which she drives, that is her speed.

Speed is given as:

speed = distance / time

When Cara drives to work, it takes her 30 minutes to drive 15 miles. Her speed is:

s = 15 / 30 = 0.5 miles per minute.

She drives at the same rate to The Dreamy Donut Shop and it takes her 6 minutes.

From the formula of speed, distance is given as:

distance = speed * time

Therefore, the distance of The Dreamy Donut Shop is:

distance = 0.5 * 6 = 3 miles

The Dreamy Donut Shop is 3 miles away.

3 0
1 year ago
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