MATHEMATICS MIDDLE SCHOOL

Please help me with b & c!

Answers

Answer 1

Answer:

Answer:

Sacramento School has 1650 students

Ronald E School has 1800 students

Apple Pies cost $4 each

Black Berry Pies cost $19 each

Step-by-step explanation:

Let "x" students attend Sacramento School, and

"y" students attend Ronald E. School

It is given that Sacramento School has 150 fewer students than Ronald E School, so we can write:

x + 150 = y

And,

Total number of students in 2 schools is 3450, we can write:

x + y = 3450

We put Equation 1 in Equation 2 and solve for x first:

$x + y = 3450\nx+ x + 150 = 3450\n2x = 3300\nx = 1650$

Now, we know y = x + 150, y = 1650 + 150 = 1800

So, Sacramento School has 1650 students

Ronald E School has 1800 students

Let apple pies cost "x" and blackberry pies cost "y" each

Gabriella sold 10 apples pies and 12 blackberry pies for total 268, so we can write:

10x + 12y = 268

Also,

Mary sold 14 apple pies and 4 blackberry pies for 132, so we can write:

14x + 4y = 132

Let's multiply Equation 2 with -3, to get:

-3 [14x + 4y = 132]

= -42x - 12y = 396

Lets add this equation to equation 1:

10x + 12y = 268

-42x - 12y = -396

------------------------

-32x = -128

x = -128/-32

x = 4

Now, plugging in x = 4 into 1sst equation, we can solve for y:

10x + 12y = 268

10(4) + 12y = 268

40 + 12y = 268

12 y = 228

y = 228/12

y = 19

So,

Apple Pies cost $4 each

Black Berry Pies cost $19 each

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Brandon is painting a 28 ft by 18 ft rectangular wall in an office. Find the area of the wall. How many gallons of paint must be purchased to paint two coats on the wall if one gallon of paint covers 400 square feet?

Answers

Answer:

He will need 2 gallons of paint.

Step-by-step explanation:

28 x 18 = 504 ft

If volume of a cube is 90 cubic inches what might the measurements of the box be

Answers

If the box is truly a cube, then all 3 of its dimensions are the same . . . the cube root of 90. There's no "might" about it.

rachel is a stunt driver. One time during a gig where she escaped from a building about to explode she drove to get to the safe zone at 24 meters per second. After 4 seconds of driving she was 70 meters away from the safe zone. Let D(t) denote the distance to the safe zone D (measured in meters) as a function of time t (measured in seconds) writ the functions formula

Answers

The distance from the safe zone after t seconds is $\rm D(t) = 166 - 24 t$ .

Given

Rachel is a stunt driver.

One time during a gig where she escaped from a building about to explode she drove to get to the safe zone at 24 meters per second.

After 4 seconds of driving, she was 70 meters away from the safezone.

What is a linear function?

A linear function containing one dependent and one independent variable.

It is represented in the form of;

$\rm y =mx+c$

Where m is the slope.

Let, D(t) = the distance to the safe zone (measured in meters)

t = time (measured in seconds)

At seconds t = 4 seconds D(t1) = 70 meters

Rachel's rate is the slope of the function D(t). Since the distance is decreasing when the time is increasing, the slope must be negative.

Hence, the linear function expression is;

$\rm D(t) = -24t+b$

The value of b is;

$\rm D(t_1) = -24t+b\n\n70 = -24* 4+b\n\n70=-96+b\n\nb = 96+70\n\nb=166$

Therefore, the distance from the safe zone after t seconds is $\rm D(t) = 166 - 24 t$ .

To know more about the Linear function click the link given below.

brainly.com/question/13919345

Answer: The required function is,

D(t) = 166 - 4 t

Step-by-step explanation:

Here, the speed of the stunt driver = 24 meters per seconds,

⇒ The distance he will cover in 4 seconds = 24 × 4 = 96 meters

( Distance = speed × time )

According to the question,

The distance of the safe zone from the building where did he escape = 70 meters + The distance he covers in 4 seconds

= 70 + 96

= 166 meters

Hence, if he is driving with the constant speed of 24 meters per minutes,

Then, his distance from the safe zone after t seconds = 166 - 24 t

⇒ D(t) = 166 - 24 t

Which is the required function.

If you roll two number cubes, what is the probability of their sum being seven or higher?

Answers

1) Number of possible outcomes when 2 cubes are rolled = n^2 = 6^2 = 36
Possible outcomes for a sum = 7 are 6 as detailed below
(1,6) (2,5) (3,4) (4,3) (5,2) (6,1) = 6
Possible outcomes for a sum = 11 are 2 as detailed below
(5,6) (6,5) = 2
Required probability = 6/36 + 2/36 = 8/36 = 0.22222

2) Number of possible outcomes when a cube and a coin are tossed = m*n = 6*2 = 12
Possible outcomes for a tail and 6 = 1
Required probability = 1/12 = 0.08333

3) Possible outcomes for a sum =3 are 2 as detailed below
(1,2) (2,1) = 2
Possible outcomes for a sum = 8 are 5 as detailed below
(2,6) (3,5) (4,4) (5,3) (6,2) = 5
Required probability = 2/36 + 5/36 = 7/36 = 0.19444

27 rolls of being 7 or higher

how can changing improper fractions to mixed numbers help me determine between which two whole numbers a fraction lies

Answers

Answer:

By indicating, through the whole number of the mixed fraction, the lower boundary in which the fraction lies.

Step-by-step explanation:

Improper fractions can be expressed as mixed numbers by performing a división of numerator by denominator and expressing the remainder as fraction. Example 6/4 is equal to 1 2/4 or 1.5 that is the number of times 6 can be divided by 4 and the remainder of two expressed as a fraction. The whole number of the mixed number is the lower boundary whole number of 6/4. The upper boundary is this whole number + 1 , in this case 1+1 = 2 . So, by using the mixed fraction we can see that 6/4 is between 1 and 2.

So for example 4/2 is a improper fraction. First think how many times can two go into 4 and that is 2 so the answer is two. Let's try 7/4. 4 can go into 7 one time but there is some reminders so u take the remainder and use it as the numerator. Then u keep the same denominator and so the answer is 1 3/4

What is the number 2,305,012 written in expanded notation?

Answers

The expanded form of that number is 2,000,000 + 300,000 + 5,000 + 10 + 2.

2,000,000 + 300,000 + 5,000 + 10 + 2 = 2,305,012

I hope that this helped you :3

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