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olganol [36]
3 years ago
11

A sports store received a shipment of 150 footballs and basketballs. 20% were basketballs. How many footballs were in the shipme

nt?
Mathematics
1 answer:
RideAnS [48]3 years ago
7 0
0.20(150) = 30 basketballs were in the shipment. Since the shipment presumably comprised only footballs and basketballs, the remainder of the shipment must consist of footballs.

150 - 30 = 120 footballs were in the shipment.
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Identify the rule for fg when f(x) = –3x – 6 and g(x) = x2 – x – 6.
stellarik [79]

Answer:

f(g) = -3( x^2 -x-6) -6 = -3x^2+3x+12

4 0
3 years ago
Question 10: If the product of all the numbers from 1 to 100 is divisible by 2^n, then what is the maximum possible value for n:
Klio2033 [76]

Answer: D

Step-by-step explanation:

100!=2*3*4*...*100

Counting which numbers are divisible by 2:

2,4,6,8,10,12,14,...,96,98,100 : 50 numbers (100/2=50)

Counting which numbers are divisible by 4=2²:

4,8,12,16,20,...96,100: 25 numbers (100/4=25)

Counting which numbers are divisible by 8=2³:

8,16,24,32,40,...,96: 12 numbers (100/8=12.5 ==> 12)

Counting which numbers are divisible by 16=2⁴:

16,32,48,...,96: 6 numbers (100/16=6.25 ==> 6)

Counting which numbers are divisible by 32=2⁵:

32,64,96 : 3 numbers(100/32=3.125 ==>3)

Counting which numbers are divisible by 64=2⁶:

64 : 1 number (100/64=1.5625 ==>1)

Sum of those numbers= 50+25+12+6+3+1=97

100! is divisible by 2⁹⁷.

Answer D

4 0
3 years ago
Read 2 more answers
Maggs invests $10,250 at a rate of 9%, compounded weekly. To the nearest whole dollar, find the value of the investment after 7
Setler79 [48]
Number of weeks in a year: 52
Weeks in 7 years: 52 x 7 = 364 

Final amount = Initial amount x (1 + interest)^(time period)

Final amount = 10,250 x (1.09)³⁶⁴
Final amount = $4.3 x 10¹⁷
6 0
3 years ago
Read 2 more answers
What is different between solving inequalities and absolute value inequalities?
Ivenika [448]

Answer:

The absolute number of a number a is written as

|a|

And represents the distance between a and 0 on a number line.

An absolute value equation is an equation that contains an absolute value expression. The equation

|x|=a

Has two solutions x = a and x = -a because both numbers are at the distance a from 0.

To solve an absolute value equation as

|x+7|=14

You begin by making it into two separate equations and then solving them separately.

x+7=14

x+7−7=14−7

x=7

or

x+7=−14

x+7−7=−14−7

x=−21

An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative.

The inequality

|x|<2

Represents the distance between x and 0 that is less than 2

Whereas the inequality

|x|>2

Represents the distance between x and 0 that is greater than 2

You can write an absolute value inequality as a compound inequality.

−2<x<2

This holds true for all absolute value inequalities.

|ax+b|<c,wherec>0

=−c<ax+b<c

|ax+b|>c,wherec>0

=ax+b<−corax+b>c

You can replace > above with ≥ and < with ≤.

When solving an absolute value inequality it's necessary to first isolate the absolute value expression on one side of the inequality before solving the inequality.

Step-by-step explanation:

Hope this helps :)

5 0
3 years ago
Read 2 more answers
jenny wrapped 30 gifts,jenny wrapped 5 times as many gifts as hong let n be the number of gifts that hong wrapped
Whitepunk [10]

n = 6

6 x 5 = 30

hope this helped, please mark brainliest. :)

7 0
3 years ago
Read 2 more answers
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