What is the value of x

Humood's house is (-5,7)

grin007 [14]

The distance from Humood's house to the school is 500m

<h3>How to determine the distance from Humood's house to the school?</h3>

The given parameters are:

Humood's house is (-5,7)

The school is (3,1)

The distance between both points is calculated using

$d = \sqrt{(x_2- x_1)^2 + (y_2 - y_1)^2$

Substitute the known values in the above equation

$d = \sqrt{(-5 - 3)^2 + (7 - 1)^2$

Evaluate

d = 10

Each unit in the graph is 50m.

So, we have

Distance =10 * 50m

Evaluate the product

Distance = 500m

Hence, the distance from Humood's house to the school is 500m

Read more about distance at

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8 0

1 year ago

I need help 2(4+2x)≥5x+5

timofeeve [1]

Answer:

x ≤ 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

2(4 + 2x) ≥ 5x + 5

Step 2: Solve for x

[Distributive Property] Distribute 2: 8 + 4x ≥ 5x + 5
[Subtraction Property of Equality] Subtract 5x on both sides: 8 - x ≥ 5
[Subtraction Property of Equality] Subtract 8 on both sides: -x ≥ -3
[Division Property of Equality] Divide -1 on both sides: x ≤ 3

5 0

2 years ago

Andrea, Justin, and Virginia went to an office supply store. Andrea bought 6 pencils, 7 markers, and 8 erasers. Her total was $1

olga2289 [7]

Answer:

$x=0.25\,,\,y=1.75\,,\,z=0.25$

Step-by-step explanation:

Let $x,y,z$ denotes number of pencils, markers, erasers respectively.

For Andrea:

$6x+7y+8z=15.75\,\,\,(i)$

For Justin:

$6x+8y+5z=16.75\,\,\,(ii)$

For Virginia:

$5x+5y+7z=11.75\,\,\,(iii)$

On subtracting equations (i) and (ii), we get

$(6x+7y+8z)-(6x+8y+5z)=15.75-16.75\\-y+3z=-1\\y-3z=1\\y=1+3z$

Put $y=1+3z$ in equation (i)

$6x+7(1+3z)+8z=15.75\\6x+29z=8.75\,\,\,(iv)$

Put $y=1+3z$ in equation (iii)

$5x+5(1+3z)+7z=11.75\\5x+22z=6.75\,\,\,(v)$

Multiply equation (iv) by 5 and equation (v) by 6 and then subtract both the equations.

$5(6x+29z)-6(5x+22z)=5(8.75)-6(6.75)\\13z=3.25\\z=\frac{3.25}{13}=0.25$

Put $z=0.25$ in equation $y=1+3z$

$y=1+3(0.25)=1.75$

Put $y=1.75\,,\,z=0.25$ in equation (i)

$6x+7(1.75)+8(0.25)=15.75\\6x+12.25+2=15.75\\6x=1.5\\x=0.25$

8 0

3 years ago

roger completed a probability experiment with a coin. he flipped the coin 32 times, and it landed on tails eight times. he looke

vladimir2022 [97]

I don't know what this question is asking exactly, but if i am right, it is asking for the ratio of heads flipped to tails flipped. If this is correct, then the ratio would be 24 to 8. My reasoning for this is, it already tells you that you have 8 times that tails was flipped, and all you have to do to figure out the amount of times heads if flipped it to subtract: 32-8=24, so that means that heads was flipped a total of 24 times. The last thing that you have to do is to put it into a ratio, and in the order it gives you initially, which would make the answer (3 ways):

1) 24 to 8
2) 24 : 8
3) 24/8

I hope this helps you.

4 0

3 years ago

Circle A has a diameter of 9 inches, a circumference of 28.26 inches, and an area of 63.585 square inches. The diameter of circl

torisob [31]

Please note that pi has just one value. The only difference stems from round-off error when you don't use all of the digits following "3.14159 ... " to represent the value of pi. The formula for circumference is C = 2 pi r, or C = pi d,
where r=radius and d=diameter.

Circle A: Diameter 9 inches and Circumference of 28.26 inches

If the diameter is 9 inches, then C = 28.26 inches = pi (9 inches). Divide 28.26 inches by 9 inches. Note that you MUST round off the ratio (pi) that you obtain, since 28.26 has 4 significant figures and 9 has just one.

28.26
------- = 3.14, but because 9 has just one significant figure, you must round
9 this 3.14 to just 3.

6 0

3 years ago