MATHEMATICS
MIDDLE SCHOOL

Answer: So 3 times what=45

remember that we can do anything to an equation as long as we do ti to both sides

3 times what=45

divide both sides by 3

3/3 times what=45/3

1 times what=15

what=15

number si 15

remember that we can do anything to an equation as long as we do ti to both sides

3 times what=45

divide both sides by 3

3/3 times what=45/3

1 times what=15

what=15

number si 15

HIGH SCHOOL

A car used 15 gallons of gasoline and traveled a total distance of 350 miles. The car's fuel efficiency is 25 miles per gallon on the highway and 20 miles per gallon in the city. Which equation can you solve to find h, the number of gallons that were used on the highway? a. 350=25(15-h)+20h

b. 25h+20(15-h)=350

c. 350= (25+20/2)h

d. 15= 350/25h + 350/20h

The equation would be letter b. 25h + 20 (15 - h) = 350

Let’s try to solve to get the value of h

=> 25h + 20(15 -h) = 350

=> 25h + (300 – 20h) = 350

=> 25h + 300 – 20h = 350

=> 300 + 5h = 350

=> 5h = 350 – 300

=> 5h / 5 = 50/ 5

=> h = 10

Thus the value of h is 10 which means a car travel on the highways and used 10 gallons of gasoline,

Let’s try to solve to get the value of h

=> 25h + 20(15 -h) = 350

=> 25h + (300 – 20h) = 350

=> 25h + 300 – 20h = 350

=> 300 + 5h = 350

=> 5h = 350 – 300

=> 5h / 5 = 50/ 5

=> h = 10

Thus the value of h is 10 which means a car travel on the highways and used 10 gallons of gasoline,

MIDDLE SCHOOL

Write a word problem and include the expression

Answer:

Word Problem: The Cooking Club made some pies to sell during lunch to raise money for a field trip. The cafeteria helped by donating three pies to the club. Each pie was then cut into six pieces and sold. There were a total of 72 pieces to sell. How many pies did the club make?

Equation (Not an expression because of the equals sign) 6(x+3)=72

Step-by-step explanation:

6(x+3)=72

6x+18=72

-18 -18

6x=54

Divide Each Side by 6

x=9

The cooking club made 9 pies.

MIDDLE SCHOOL

5n+30-17n-(-12)

Hey there!!

Given equation :

... 5n + 30 - 17n - ( -12n )

... 5n + 30 -17n + 12n

... 5n + 30 - 5n

... 30

The answer is 30...

Hope my answer helps!!

MIDDLE SCHOOL

A line contains the points (4,5) and (3, -9). Write the equation of the line using point-slope form. A.y +4= -2(x - 3)

B.y +5= -2(x-4)

C. Y-3 = -2(x +9)

D. y-5=-2(x+4)

Answer:

C

Step-by-step explanation:

original formula is: y - y1 = m (x - x1) ordinates= (x1, y1)

insert the a corresponding x and y coordinate:

y + 3 = -2 (x + 9)

Don't forget to change the signs depending on whether their positive or negative:

(3, -9) since 3 is positive but there is a minus in the formula it would be -3

since -9 is negative and in the equation there's a minus sign you would change it to positive. (negative times a negative equals a positive)

MIDDLE SCHOOL

Find the product of 512 and 46 using the standard algorithm. estimate to check for reasonableness

The product of 512 and 46 using the standard algorithm is

5 1 2

x 4 6

3 0 7 2

+ 2 0 4 8

2 3 5 5 2

Given,

512 and 46

We need to find the product using the standard algorithm.

How do we multiply numbers using the standard algorithm?Example:

12 x 13 = 156

12 x 1 = 12

12 x 3 = 36

Now,

1 2

x 1 3

3 6

+ 1 2

1 5 6

We have,

512 x 46 = 23552

The Standard algorithm is:

512 x 4 = 2048

512 x 6 = 3072

5 1 2

x 4 6

3 0 7 2

+ 2 0 4 8

2 3 5 5 2

Thus the product of 512 and 46 using the standard algorithm is 23552.

Learn more about how to divide using standard algorithm here:

brainly.com/question/8436704

#SPJ2

Answer:

23552

Step-by-step explanation:

512

× 46

_______

3072

+ 20480

_______

23552

HIGH SCHOOL

Find the x-intercepts and y-intercept of y=x^3-2x^2-4x+8

For the intersection with the x axis we have:x ^ 3-2x ^ 2-4x + 8 = 0Rewriting we have:

((x-2) ^ 2) (x + 2) = 0

The solutions are:

x1 = 2

x2 = -2

The intersections are:

(-2,0)

(2,0)

For the intersection with the axis and we have:

y = x ^ 3-2x ^ 2-4x + 8

y = (0) ^ 3-2 (0) ^ 2-4 (0) +8

y = 8

The point of intersection is:

(0, 8)

Answer:

The x-intercepts and y-intercept of y = x ^ 3-2x ^ 2-4x + 8 are:

(-2, 0) and (2, 0)

(0, 8)

respectively

((x-2) ^ 2) (x + 2) = 0

The solutions are:

x1 = 2

x2 = -2

The intersections are:

(-2,0)

(2,0)

For the intersection with the axis and we have:

y = x ^ 3-2x ^ 2-4x + 8

y = (0) ^ 3-2 (0) ^ 2-4 (0) +8

y = 8

The point of intersection is:

(0, 8)

Answer:

The x-intercepts and y-intercept of y = x ^ 3-2x ^ 2-4x + 8 are:

(-2, 0) and (2, 0)

(0, 8)

respectively

X intercept- (2,0) (-2,0)

y intercept- (0,8)

y intercept- (0,8)

HIGH SCHOOL

What is the first quartile of this data set? 11, 12, 13, 15, 17, 19, 22, 24, 29, 33, 38

A. 29

B. 13

C. 11

D. 19

Answer:

first quartile of this data set is 13

Step-by-step explanation:

11, 12, 13, 15, 17, 19, 22, 24, 29, 33, 38

First we find the median for the given set of numbers

Median is the middle number

11, 12, 13, 15, 17, 19, 22, 24, 29, 33, 38

19 is the median of the set of numbers

First quartile is the median of the set of numbers below 19

third quartile is the median of the set of number above 19

11, 12, 13, 15, 17

Median of 11, 12, 13, 15, 17 is 13

So first quartile of this data set is 13

The median is 19 and the lower quartile is the middle number of the 5 numbers before 19

So its 13

B

So its 13

B

MIDDLE SCHOOL

What is 42.78 ÷ 3? plz show

First set up the long division method.

How many times can 3 go into 4? 1. The remainder is 1 so bring that down and bring down the 2.

How many times can 3 go into 12? 4. The remainder is 0 so bring that down and bring down the 7.

Don't forget the decimal point here!

How many times can 3 go into 7? 2. The remainder is 1 so bring that down and bring down the 8,

How many times can 3 go into 18? 6. The remainder is 0. And your problem is finished

Your final answer is 14.26

How many times can 3 go into 4? 1. The remainder is 1 so bring that down and bring down the 2.

How many times can 3 go into 12? 4. The remainder is 0 so bring that down and bring down the 7.

Don't forget the decimal point here!

How many times can 3 go into 7? 2. The remainder is 1 so bring that down and bring down the 8,

How many times can 3 go into 18? 6. The remainder is 0. And your problem is finished

Your final answer is 14.26

The Answer Is 14.26 Ill Add PIc In A mintute

HIGH SCHOOL

What is 923 rounded to the nearest hundred??

923 rounded to the nearest hundred is 900. If the number was over 950 it would be 1,000 but since it was below is closer or nearest to 900

923

The hundred digit is 9.

The digit to the right after 9 is 2. 2 is not up to 5. So we round down the digits after the 9 to 0s. The answer becomes 900.

If it were 5 or more than 5, we would have rounded up by adding 1 extra digit to the 9, to make the answer 1000.

So 923 to the nearest hundred is 900.

The hundred digit is 9.

The digit to the right after 9 is 2. 2 is not up to 5. So we round down the digits after the 9 to 0s. The answer becomes 900.

If it were 5 or more than 5, we would have rounded up by adding 1 extra digit to the 9, to make the answer 1000.

So 923 to the nearest hundred is 900.