MATHEMATICS
MIDDLE SCHOOL

Answer:

Answer: 126

Step-by-step explanation: You would just find the LCM (2, 3, 7) and get 42. But since you need a 3-digit number, list the multiples of 42, like so: 42, 84, 126, 168, 210...

As you can see, 126 is the smallest 3-digit number that has 2, 3, and 7 among its prime factors.

HIGH SCHOOL

On a road map the distance between two cities is 2.5 in the map scale is 1 inch:30 miles what is the actual distance between the cities

Answer:

75 miles

Step-by-step explanation:

Step up a portion. Here, 1 in is to 2.5 in as 30 mi is to x mi

1/2.5 = 30/x

Now solve for x by cross multiplying

x = 75

MIDDLE SCHOOL

Jaxson is a high school basketball player. In a particular game, he made some free throws (worth one point each) and some two point shots. Jaxson scored a total of 18 points and made 3 more two point shots than free throws. Determine the number of free throws Jaxson made and the number of two point shots he made.

Jaxson made 4 free throws and 7 two points shots.

Step-by-step explanation:

Given,

Total points made by Jaxson = 18 points

Free throw = 1 point

Let,

x be the number of free throws

y be the number of two point shots

According to given statement;

x+2y=18 Eqn 1

y = x+3 Eqn 2

Putting value of y from Eqn 2 in Eqn 1

Dividing both sides by 3

Putting x=4 in Eqn 2

Jaxson made 4 free throws and 7 two points shots.

Jaxson made 4 free throws and 7 two point shots

MIDDLE SCHOOL

When f(x) = 25-x squared and g(x) = x+5 (f divided by g times x equals what

HIGH SCHOOL

A young girl with a height of 124 centimeters casts a shadow that is 93 centimeters long. She is standing next to a tree that casts a shadow that is 13.5 meters long. How tall is the tree?' A. 14 m

B. 16 m

C. 18 m

D. 20 m

1. Let's convert 124 centimeters (the height of the young girl) and 93 centimeters (the length of her shadow).

2. We know that 1 meter=100 centimeters, then:

124/100=1.24 meters

93/100=0.93 meters

3. If the girl has a height of 1.24 meters and casts a shadow with 0.93 meters long, what height ("x") will we obtain with a shadow of 13.50 meters long?

1.24 m-----0.93 m

x-----13.5 m

x=(13.5 m)(1.24 m)/0.93 m

x=18.0 m

How tall is the tree? The answer is: 18.0 meters

2. We know that 1 meter=100 centimeters, then:

124/100=1.24 meters

93/100=0.93 meters

3. If the girl has a height of 1.24 meters and casts a shadow with 0.93 meters long, what height ("x") will we obtain with a shadow of 13.50 meters long?

1.24 m-----0.93 m

x-----13.5 m

x=(13.5 m)(1.24 m)/0.93 m

x=18.0 m

How tall is the tree? The answer is: 18.0 meters

MIDDLE SCHOOL

Solve for x, in terms of y: 2/3x + 1/5y = 2

Answer:

x = 3 - 3/10y

Step-by-step explanation:

2/3x + 1/5y = 2

Subtract 1/5y from each side

2/3x + 1/5y -1/5 y= 2-1/5 y

2/3x = 2-1/5y

Multiply by 3/2 to isolate x

3/2 * 2/3x = 3/2 (2-1/5y)

x = 3/2 (2-1/5y)

Distribute the 3/2

x = 3 - 3/10y

Answer:

is c

Step-by-step explanation:

HIGH SCHOOL

The telephone company purchased 95 yards of wire for $1,235 in September. They plan on making a purchase of 285 yards in October. How much will the same wire cost them?

It will cost them $3705 because 285/95= 3 and so 3*1235 is $3705

Simple math $1,235/ 95yd= $13 per yard

285 x $13= $3,705

The answer is $3,705, hope this helps.

285 x $13= $3,705

The answer is $3,705, hope this helps.

HIGH SCHOOL

A triangle has sides measuring 5 inches and 8 inches. If x represent the length in inches of the third side , which inequality gives the range of possible values for x ?

If a, b and c are the lengths of the sides of a triangle then

if a ≤ b ≤ c, then a + b > c.

1. x ≤ 5 ≤ 8 then x + 5 > 8 → x > 8 - 5 → x > 3 therefore 3 < x ≤ 5.

2. 5 ≤ x ≤ 8 then 5 + x > 8 → x > 3 therefore 5 ≤ x ≤ 8

3. 5 ≤ 8 ≤ x then 5 + 8 > x → 13 > x → x < 13 therefore 8 ≤ x < 13.

Answer: 3 < x < 13 → S = (3, 13)Answer:

3 < x < 13

Step-by-step explanation:

Since, a triangle is possible when the sum of any two sides is greater than the third side,

Given,

The sides of the triangle are 5 inches and 8 inches,

If x shows the third side,

Then, by the above statement,

x < 5 + 8 ⇒ x < 13

5 < x + 8 ⇒ -3 < x

8 < x + 5 ⇒ 3 < x

Hence, the required inequality gives the range of possible values for x is,

3 < x < 13

COLLEGE

Four bells toll at an interval of 8,12,15 and 18 seconds respectively. All the four bells begin to toll together. How many will they toll together in one hour excluding the one at the start?

The nest time they toll together is given by the LCM of 8,12,15 and 18

8= 2*2*2

12=2*2*3

15 = 3*5

18=2*3*3

LCM = 2*2*2*3*3*5 = 360

so they will toll together every 360 seconds

So in hour hour they will toll 3600/360 = 10 times Answer

8= 2*2*2

12=2*2*3

15 = 3*5

18=2*3*3

LCM = 2*2*2*3*3*5 = 360

so they will toll together every 360 seconds

So in hour hour they will toll 3600/360 = 10 times Answer

Sol . LCM of 8,12,15 and 18 = 360

So, after each 360 seconds zie. after each 6 minutes four bells will toll together so in

1 hour that in 60 minutes these four bell will toll together =

= 10 times

So, after each 360 seconds zie. after each 6 minutes four bells will toll together so in

1 hour that in 60 minutes these four bell will toll together =

= 10 times

MIDDLE SCHOOL

To estimate the percentage of all their customers that would buy a new flavor, an ice cream shop surveys the first five customers that place an order. Will this likely give an accurate estimate of this percentage? Select from the drop-down menus to correctly complete the statement: This method is (blank) to give an accurate estimate of the percentage since it (blank) from a large enough randomly selected sample of customers.

The options for the first blank are:

A. Likely

B. Not likely

The options for the second blank are:

A. Used data

B. Did not use data

PLZ HELP!!!!!

1 blank) Not likely.

2 blank) Not used data.

Good luck!

- Jazz

2 blank) Not used data.

Good luck!

- Jazz

1st blank : Not likely.

2nd blank : Did not use data.

Hope I'm correct :)

Give me 5 stars if so!

2nd blank : Did not use data.

Hope I'm correct :)

Give me 5 stars if so!