MATHEMATICS HIGH SCHOOL

Solve -2 x + 6 = -20.

Answers

Answer 1

Answer:

Answer:

x = 13

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 equation

-2x + 6 = -20

Step 2: Solve for x

Subtract 6 on both sides: -2x = -26
Divide -2 on both sides: x = 13

Step 3: Check

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

Substitute in x: -2(13) + 6 = -20
Multiply: -26 + 6 = -20
Add: -20 = -20

Here we see that -20 does indeed equal -20.

∴ x = 13 is the solution to the equation.

Answer 2

Answer:

Answer:

x = 13

Step-by-step explanation:

Subtract 6 from both sides: -2x = -26

divide both side by -2 to isolate x: x = 13

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Monica walks 2 miles each day Monday through Friday. She walks 3 miles on Saturday. She does not walk on Sunday. Monica calculates that she will have walked 127 miles after 29 weeks.What is an estimate for the number of miles that Monica will have walked after 29 weeks? Is her original calculation reasonable? 137; her original calculation is reasonable 145; her original calculation is not reasonable 310; her original calculation is reasonable 390; her original calculation is not reasonable

The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week is 0.62.The probability that any postcard posted in Portugal on Friday is delivered to the UK within a week is 0.41.
Anna is on holiday in Portugal.
She posts 15 postcards to the UK on Monday.
How many of her postcards can she expect to be delivered within a week?
(2 marks)

Answers

Answer:

You can expect at least 9 of her postcards to arrive within a week

To find that, we multiply the number of postcards by the probability

15 x 0.62 = 9.3

Hope this helps

Good Luck

On a map with a scale of 1in to 12 feet, the area of a restaurant is 60in squared. Han says that the actual area of the restaurant of 720ft squared. Do you agree or disagree? Explain your reasoning

Answers

Answer: Disagree. The actual area is $8,640\ ft^2$ (See explanation)

Step-by-step explanation:

Let be "x" the actual area of the the restaurant.

You know that the scale of the map is 1 inches to 12 feet. This can be written as a fraction:

$(1\ in)/(12\ ft)$

Calculate the scale drawing area of the restaurant. This is:

$((1\ in)/(12\ ft))^2=(1\ in^2)/(144\ ft^2)$

Since the area of the restaurant is $60\ in^2$ on the map, you can set up this proportion and then solve for "x" in order to find the actual area of the restaurant.

This is:

$(144\ ft^2)/(1\ in^2)=(x)/(60\ in^2)\n\n(60\ in^2)((144\ ft^2)/(1\ in^2))=x\n\nx=8,640\ ft^2$

Therefore, what Han says is incorrect.

Final answer:

The actual area of the restaurant is 8,640 square feet, not 720 square feet as claimed by Han.

Explanation:

To determine if Han's claim about the actual area of the restaurant is correct, we need to compare the scale of the map and the actual measurements.

The scale of the map is 1 inch to 12 feet. If the area of the restaurant on the map is 60 square inches, we can calculate the actual area using the scale.

The actual area of the restaurant can be calculated by multiplying the area on the map by the square of the scale factor. In this case, the scale factor is 12 feet per inch, so the actual area would be 60 square inches * (12 feet per inch)^2 = 8,640 square feet.

Therefore, Han's claim that the actual area of the restaurant is 720 square feet is incorrect. The correct actual area is 8,640 square feet.

Learn more about scale

brainly.com/question/28571689

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James needs 50 tons of dirt for a large construction project. He already has 3 tons of dirt at the construction site. Each dump truck can transport 8 tons of dirt. How many trips does the dump truck need to take to reach 50 tons of dirt?A.
5
B.
6
C.
7
D.
8

Answers

If he already has 3 tons of dirt at the site, He needs 50-3=47 tons to be carried by the truck
Minimum number of trips the truck will need to take=47/8
=5.875
But since the truck cannot actually take 5.875 trips, it will take the next whole number of trips so it will take 6 trips.(B)

Simplify 2(5x-3)-(2x+4), 24x-12y+40÷4, (2x)(3y)+2(-xy)

Answers

$2(5x-3)-(2x+4)=2\cdot5x-2\cdot3-2x-4\n\n=10x-6-2x-4=8x-10\n\n\n(24x-12y+40):4=24x:4-12y:4+40:4\n\n=6x-3y+10\n\n\n(2x)(3y)+2(-xy)=6xy-2xy=4xy$

I dont know what to do.It says to find the slope of the lind that crosses these points.
And it gives me some slopes like: (3,5) and (1,9)

Answers

Slope= $( y_(2)- y_(1) )/( x_(2) - x_(1) )$

(3,5) and (1,9)
x1=3
y1=5
x2=1
y2=9

Slope= $( y_(2)- y_(1) )/( x_(2) - x_(1) )$
Slope= $( 9- 5 )/( 1 - 3)$
Slope= $(4)/( -2)$
Slope= $-(4)/(2) or -2$

Answer:Slope=-2

Suppose a telephone pole 60 feet in height casts a shadow of length 80 feet. What is the angle of elevation from the end of the shadow to the top the pole with respect to the ground?

Answers

height = opposite side = 60 feet
shadow = adjacent side = 80 feet
angle = arc tangent (60/80) (or 3/4)
arc tangent (.75) = 36.87 Degrees

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