1. Which two properties are needed to solve the equation 8.5d + 7.5 = 100 + 3?

Distributive property and division property of equality

Subtraction property of equality and division property of equality

Distributive property and collecting like terms property

Addition property of equality and division property of equality

Answer:

[tex]\cfrac{7}{6}[/tex]

Step-by-step explanation:

[tex]\cfrac{7}{8} \div \cfrac{3}{4}[/tex]

Divide 7/8 by 3/4 by multiplying 7/8 by the reciprocal of 3/4:

[tex]\cfrac{7}{8}\times[/tex] [tex]\dbinom{4}{3}[/tex]

Now, multiply 7/8 times 4/3 by multiplying numerator times numerator and denominator times denominator:

[tex]\cfrac{7\times 4}{8\times 3}[/tex]

Do multiplication in fraction: [tex]\cfrac{7\times 4}{8\times 3}[/tex]

[tex]\cfrac{28}{24}[/tex]

Reduce fraction [tex]\frac{28}{24}[/tex] to lowest terms by extracting and canceling 4 out:

[tex]\cfrac{7}{6}[/tex]  [tex]\checkmark[/tex]

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A person heart beats is 4.2 x 10∧7

there are 7,600,000,000= 7.6 x 10∧9

the heartbeats for all the people here on earth= 4.2 x 10∧7 x 7.6 x 10∧9

choosing like terms

4.2 ×7.6×10∧7×10∧9

31.92x10∧(7+9)

31.92×10∧16

a=31.92

b=16

Answer:

[tex]3.192*10^1^7[/tex]

Step-by-step explanation:

To find this value, multiply the two values given:

4.2x10^7 = 4.2 x ( 10 x 10 x 10 x 10 x 10 x 10 x 10) = 42000000

42000000 x 7600000000 = 319200000000000000

Then convert 319200000000000000 into scientific notation:

319200000000000000 = 3.19200000000000000

Cut off all the zeroes and I moved the decimal 17 places to the left, so the exponent will be positive:

[tex]3.192*10^1^7[/tex]

Answer:

u = 3

Step-by-step explanation:

-4 = 3 - 7

Answer:

first choice

Step-by-step explanation:

The perpendicular bisector of a line divides the line into two equal segments and is perpendicular to the line

The perpendicular distance of point P from the line l is equal to the distance of the lost point s from the line l and points P and s are on opposite sides of the line l

The point s can be marked by constructing the perpendicular to line l passing through P

The steps to construct a perpendicular line from a point to a line and mark point s are given as follows;

The constructed point s above is the required point and points P and s are located on opposite sides of the line l

Learn more here:

https://brainly.com/question/14261048

Answer:

x < 4 is the solution.

I hope this helps!

Answer:

The answer is x<4. I hope this helps!

Answer:

just btw there is no pic lol

Step-by-step explanation:

Answer:

y + 1 = [tex]\frac{1}{2}[/tex] (x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 1) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m = [tex]\frac{0-(-1)}{0-(-2)}[/tex] = [tex]\frac{0+1}{0+2}[/tex] = [tex]\frac{1}{2}[/tex]

Using (a, b ) = (- 2, - 1 ) , then

y - (- 1) = [tex]\frac{1}{2}[/tex] (x - ( - 2) ) , that is

y + 1 = [tex]\frac{1}{2}[/tex] (x + 2) ← in point- slope form

Answer:

Step-by-step explanation:

We say that two lines (on the same plane) are parallel to each other if they never intersect each other, ragardless of how far they are extended on either

Answer:

31/32 or 0.96875

Step-by-step explanation:

first you muliply 5/8 by 3/4 then the answer add it to 1/2

Answer:

a-n=1

Step-by-step explanation:

Answer:

x > -3.4

Step-by-step explanation:

1 < (x + 5.5) / 2

first multiply each side by 2

2 < x + 5.5

Then subtract 5.5 from each side

-3.4 < x

x has to be on the left so you switch the hole equation around to get

x > -3.4

Answer:

21 + 12i

Step-by-step explanation:

Given

(3 - 4i)(1 + 5i) - (2 - i) expand the product of factors

= 3 + 11i - 20i² - 2 + i

= 3 + 11i + 20 - 2 + i  collect like terms

= 21 + 12i

Answer:Nope

Step-by-step explanation:

The equation, b(t) = - 5t ^ 2 + 10t + 6, is a parabola with a vertex.  We must find whether that vertex is equal to or exceeds 12m.  One can graph the equation and find that the vertex is at (1,11), below the 12.  It cannot reach 12 meters.

[One may also differentiate the equation and set it equal to zero (the point at which the slope of the parabola is zero, which will be at the vertex as it begins downward)].

Answer:

60

Step-by-step explanation:

read answer from list below this question

Answer:7/9

Step-by-step explanation:

Answer:

7/9

Step-by-step explanation:

I hope this helps you.

[tex]\displaystyle \begin{cases} 2y=x-4 \\4x+3y=5 \end{cases } \Rightarrow \ominus \left \{ {{x-4=2y} \ | \cdot 4 \atop {4x+3y=5}} \right. \Rightarrow \\\\\\ 4x-16-4x-3y=8y-5 \\\\ -3y-16=8y-5 \\\\ -3y-8y=16-5 \\\\-11y=11 \\\\ y=-1 \ \ ; \ \ x=2y+4=2 \\\\ \rm Answer : \ (2 \ ; \ -1 )[/tex]

Step-by-step explanation:

If everything is kept in terms of x then:

For part A the general area would just be side times side.

Here it would be (30x)(4x)

=[tex]120x^{2}[/tex]

For part B since you have 5 sections divide the long side by 5.

[tex]\frac{30x}{5} =6x[/tex]

Then multiply by the other side of the rectangle to find the area of one section.

6x(4x)=[tex]24x^{2}[/tex]

Alternatively you could just divide the large area by 5 to get the area of one section.

[tex]\frac{120x^{2} }{5}=24x^{2}[/tex]

Answer:

Step-by-step explanation:

Required inequality:

Solving:

Answer:

Inequality: 50x+9500≤27500

Answer: x≤360

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

2.380952381 < 2.4

the decimal digits all round up to the next tenth

Answer:

9x⁵-3x⁴+5x³-10x²+2x-1

degree = 5

leading coefficient = 9

number of terms = 6 (many terms)

Step-by-step explanation:

Answer:

The temperature in Celsius in this city has never exceeded 30 °C

Step-by-step explanation:

Just substitute F by the temperature in Fahrenheit and solve the equation:

86 = 9C/5+32 Multiply both sides by 5

5×86 = 9C +32×5

430 = 9C + 160 Subtract 160 in both sides

270 = 9C Divide both sides by 9

30 = C

Answer:

x = 1/4

Step-by-step explanation:

1x+3 = 5x+2

1 = 4x

x = 1/4

Answer:

x= [tex]\frac{1}{4}[/tex]

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Check:

1x[tex]\frac{1}{4}[/tex]+3 = 5x[tex]\frac{1}{4}[/tex]+2

0.25+3=1.25+2

3.25=3.25

This is true so X=[tex]\frac{1}{4}[/tex]

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If this helped pls give me brainliest

Answer: y=4x-9

Step-by-step explanation: y=mx+b .  formula

Answer: 2/5

Explanation: Ask if you want an explanation!

      The question gives us two points, (-2, 1) and (8,5), from which we can find the slope and later the equation of the line.

Finding the Slope

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                          =  (5 - 1) ÷ (8 - (-2))    

                                          =   ⁴/₁₀

                                          = ²/₅  

Checking my answer:

We can check to see if the answer is correct by drawing the line and seeing if it passes through both points. If it does, then the slope is correct.

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

                                ⇒  y - 1 =  ²/₅ (x + 2)

In the graph below (created using Desmos), the line passes through both points. This suggests that we calculated the slope correctly.

Answer:

4,8

Step-by-step explanation:

Trust me