Write an expression that is equivalent to 8(2y + 4) that can be simplified

What is the equation, in slope-intercept form, for the line that passes through the point (2, −3) and is perpendicular to the li

diamong [38]

Answer:

The equation is;

y = (-x-23)/25

Step-by-step explanation:

The equation of a straight line can be given as y = mx + b

where m is the slope and b is the y-intercept

for y = 25x + 4

m is 25

Now, we need the slope of a line perpendicular to this,

If two lines are perpendicular, the result of the product of their slopes is -1

m1 * m2 = -1

25 * m2 = -1

m2 = -1/25

Mathematically, we have the slope in the point slope form as ;

y+3 = -1/25 (x - 2)

y = -x/25 + 2/25

y = -x/25 + 2/25 - 3

y = -x/25 -73/25

6 0

2 years ago

Write a multiplication equation that represents the question: how many 3/8 are in 8?

goldenfox [79]

Answer:

8

Step-by-step explanation:

$\frac{3}{8} +\frac{3}{8} +\frac{3}{8} +\frac{3}{8} +\frac{3}{8} +\frac{3}{8} +\frac{3}{8} +\frac{3}{8}$

$\frac{3}{8}$ × 8

= 3

In algebra:

$\frac{3}{8}$ × y = 3

y = 3 ÷ $\frac{3}{8}$

y = 8

7 0

3 years ago

Question 2 (1 point) (11.01 MC) Nina has a piece of fabric measuring 5 yards. How many 1-inch strips can be cut from the fabric?

maw [93]

Answer:

180 strips

Step-by-step explanation:

Note that:

1 yard = 36 inches

5 yards = x

Cross Multiply

x = 5 × 36 inches

x = 180 inches

Hence:

1 piece of fabric = 180 inches

How many 1-inch strips can be cut from the fabric?

180 inches = 1 piece of fabric

1 inch = x

x = 180 strips

8 0

3 years ago

Jen’s goal is to run a total of 22 miles in five days. The table below shows her log for the number of miles she ran on Monday,

Ronch [10]

Answer: 5.875 miles run on Friday to reach her goal by Jen

Step-by-step explanation:

Since we have given that

Part of distance covered on Monday by Jen is given by

$4\frac{3}{4}=\frac{19}{4}$

Part of distance covered on Tuesday by Jen is given by

$5\frac{1}{8}\\\\=\frac{41}{8}$

Part of distance covered on Wednesday by Jen is given by

0

Part of distance covered on Thursday by Jen is given by

$6\frac{1}{4}\\\\=\frac{25}{4}$

Total part of distance covered in these four days by Jen is given by

$\frac{19}{4}+\frac{41}{8}+0+\frac{25}{4}\\\\=\frac{38+41+0+50}{8}\\\\=\frac{129}{8}=16.125\ miles$

Remaining part of distance will be covered on Friday to reach her goal which is given by

$22-16.125=5.875\ miles$

Hence, 5.875 miles run on Friday to reach her goal by Jen.

5 0

3 years ago

Read 2 more answers

A shade of green paint is made by mixing yellow paint and blue paint in the ratio 5:2. Mel has 30 litres of yellow paint and 9 l

vodomira [7]

Answer:

31.5 litres

Step-by-step explanation:

If Mel uses all 30 litres of yellow paint, then:

5 / 2 = 30 / x

5x = 60

x = 12

Mel would need 12 litres of blue paint, but she only has 9 litres. So the amount of yellow paint she needs is:

5 / 2 = x / 9

2x = 45

x = 22.5

Mel will use 22.5 litres of yellow paint with 9 litres of blue paint to make a total of 31.5 litres of green paint.

4 0

3 years ago