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3 years ago

Hannah was asked to make d the subject of the formula d-7=4d+3/e Finish her question.

Mathematics

1 answer:

tigry1 [53]3 years ago

5 0

Answer:

$d = \frac{-1}{e} - \frac{7}{3}$

Step-by-step explanation:

In order to make d the subject of the formula, you need to isolate it.

- You started with d-7 = 4d + 3/e

- Move 4d to the left side by subtracting 4d from both sides to cancel it from the right so you have...

d - 7 = 4d + 3/e This will leave you left with -3d - 7 = 3/e

-4d -4d

- Then move over the -7 by adding 7 to both sides...

-3d - 7 = 3/e This will leave you left with -3d = 3/e + 7

+7 +7

- Finally to get d by itself divide both sides of the equation by -3 and you'll be left with...

$d = \frac{3}{-3e} -\frac{7}{3}$

- You can cancel out the 3 in the -3/3e and make it -1/e so your final answer will be

$d = \frac{-1}{e} - \frac{7}{3}$

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A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter. The central angle formed by the peach co

Vsevolod [243]

Answer:

D. 5 inches

Step-by-step explanation:

Given:

A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter.

That means complete angle having 360° is divided into 3 section.

The central angle formed by the peach cobbler is 105 degrees.

The central angle formed by the pasta is 203 degrees.

Question asked:

What is the approximate length of the arc of the section containing the peas?

Solution:

The central angle formed by the peas = 360° - 105° - 203°

= 52°

$Ridius,r=\frac{Dameter}{2} =\frac{12}{2} =6\ inches$

As we know:

$Length\ of\ arc=2\pi r\times\frac{\Theta }{360}$

$=2\times\frac{22}{7} \times6\times\frac{52}{360} \\ \\ =\frac{13728}{2520} \\ \\ =5.44\ inches$

Therefore, the approximate length of the arc of the section containing the peas are 5 inches.

6 0

3 years ago

What is the value of x in the parallelogram if two corners are 60 degrees

Phantasy [73]

Answer:

Can I have a picture/image if possible?

Step-by-step explanation:

8 0

3 years ago

Just number 7 would be fine but if you could also number 8 would help a lot

BlackZzzverrR [31]

Answer:

7. r = -5

8. x = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

r + 2 - 8r = -3 - 8r

Step 2: Solve for r

Combine like terms: -7r + 2 = -3 - 8r
Add 8r to both sides: r + 2 = -3
Subtract 2 on both sides: r = -5

Step 3: Check

Plug in r into the original equation to verify it's a solution.

Substitute in r: -5 + 2 - 8(-5) = -3 - 8(-5)
Multiply: -5 + 2 + 40 = -3 + 40
Add: -3 + 40 = -3 + 40
Add: 37 = 37

Here we see that 37 does indeed equal 37.

∴ r = -5 is a solution of the equation.

Step 4: Define equation

-4x = x + 5

Step 5: Solve for x

Subtract x on both sides: -5x = 5
Divide -5 on both sides: x = -1

Step 6: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: -4(-1) = -1 + 5
Multiply: 4 = -1 + 5
Add: 4 = 4

Here we see that 4 does indeed equal 4.

∴ x = -1 is a solution of the equation.

8 0

3 years ago

Read 2 more answers

A 34-inch piece of wood is 2.4% of a longer piece of wood. How long is the longer piece of wood? Show your work. You can use pro

riadik2000 [5.3K]

Think of this as a proportion: 2.4 is to 100, as 34 is to L ("L" for "Long piece.")

Cross multiply to get 2.4 L = 3400, then divide both sides by 2.4 to be left with

L = 3400/2.4, so

L = 1416.666...

So the longer piece of wood is 1,416.66... inches long.

Hope this helps!!:)

8 0

3 years ago

What is the slope of the line through (0,-1) and (2,3)?

aniked [119]

Slope = (y2-y1)/(x2-x1)
(3+1)/(2-0) = 4/2 = 2
The slope is 2

3 0

3 years ago