A crate is shaped like a rectangular prism. The crate is 1.2 feet wide, 3 feet long, and 4.5

Collin wants to solve this system of equations. Which number can he multiply the first equation by so that when the two equation

siniylev [52]

If u multiply the first equation by -4, u get -2x - y = -20

and when u add the 2 equations..
-2x - y = -20
2x + 3/8y = 5
-----------------
0 - 5/8y = -15.....u notice that the x terms r eliminated.

4 0

3 years ago

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You have travelled 25 kilometres. Your friend's map gives the scale as: 20cm:100km. How many cm on the map have you travelled

notsponge [240]

Answer: 5cm

Step-by-step explanation:

Simplified scale: 1cm:5km

5km times 5 is the distance you traveled, 25km

1cm times 5 is 5

5 0

3 years ago

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Hugh bought some magizines that cost 3.95 each and some books that cost 8.95 each. He spent a total of 47.65.If Hugh bought 3 ma

HACTEHA [7]

Answer:

4 books

Step-by-step explanation:

We are told that: Hugh bought some magazines that cost 3.95 each

Hugh bought 3 magazines.

Hence, total cost of magazines = 3 magazines × 3.95

= 11.85.

Total cost of magazines = 11.85

From the question, we know that, the total amount Hugh spent = 47.65

Hence, The total cost for books =

Total amount spent - Total cost of magazines

= 47.65 - 11.85

= 35.80

Therefore, the total cost of books = 35.80

We are told in the question that the cost of books is 8.95 each or 8.95 per book.

Hence, the number of books that Hugh bought is calculated as :

35.80/8.95

= 4 books

Therefore, Hugh bought 4 books

6 0

3 years ago

Find the equation of the line that cuts through (0,5) and (1, 2)? a. y=-3x + 5 b. y = 3x + 5 c. y = -5x + 3 d. Y = -1/3x + 5. Pl

Dafna11 [192]

Answer:

a. y = -3x + 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Step-by-step explanation:

Step 1: Define

y-intercept (0, 5)

Point (1, 2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]: $m=\frac{2-5}{1-0}$
Subtract: $m=\frac{-3}{1}$
Divide: $m=-3$

Step 3: Write Equation

Plug in variables into the general form.

y = -3x + 5

8 0

3 years ago

As treasurer of his school's FFA club, Kenny wants to buy gifts for all 18 members. He can buy t-shirts for $9 and sweatshirts f

DanielleElmas [232]

Kenny can buy 15 t shirts and 3 sweatshirts.

Step-by-step explanation:

Given,

Number of members = 18

Cost of each t shirt = $9

Cost of each sweatshirt = $15

Money = $180

Let,

x be the number of t shirts

y be the number of sweatshirts

According to given statement;

x+y=18 Eqn 1

9x+15y=180 Eqn 2

Multiplying Eqn 1 by 9

$9(x+y=18 )\\9x+9y= 162\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(9x+15y)-(9x+9y)=180-162\\9x+15y-9x-9y=18\\6y=18\\$

Dividing both sides by 6

$\frac{6y}{6}=\frac{18}{6}\\y=3$

Putting y=3 in Eqn 1

$x+3=18\\x=18-3\\x=15$

Kenny can buy 15 t shirts and 3 sweatshirts.

Keywords: linear equation, elimination method

Learn more about linear equations at:

#LearnwithBrainly

6 0

4 years ago