Which choice is the solution to the inequality below? 2x < 20 O A. x> 10 O B. x< 10 O c. x< 20 O D. x > 20​

Answer:

as the two lines are parallel to one another, they do not intersect (connect) at any point. therefore there is no solution and it is an INCONSISTENT SYSTEM.

Step-by-step explanation:

Answer:

x=1 y=-9

Step-by-step explanation:

plug the given x and y values into the equation

y=-2(4)-1

y=-8-1

y=-9

1=-2x-1

+1 +1

2=-2x

/2 /2

1=x

Answer:

x = 15  over4 ,  y≈ 9.8  units

Step-by-step explanation:

Since triangles ABC and DEF are similar, their corresponding sides are in the same ratio.

hope this helps!

Answer:

1/32

Step-by-step explanation:

- if the even numvers of the every six-sided dice are: 2; 4; 6, then the probability of even number of one dice is 3/6=0.5.

- the probability of getting head of one coin is 0.5;

- the required probability of getting 3 heads and even number on the dice is:

0.5^³*0.5^²=0.125*0.25=0.03125 (or 1/32)

Answer:

C. There are no factors of 3 that add up to -15

Step-by-step explanation:

N/A

Divide the discount amount by original price:

12/80 = 0.15

Multiply by 100 to get percent:

0.15 x 100 = 15%

The discount is 15%

Answer:

The probability is 1/3, or in percent form, 33.3%.

Step-by-step explanation:

First, add up all the marbles. 3 plus 2 plus 1 equals 6 total marbles.

There are 2 yellow marbles out of 6 total marbles. Make it a fraction: 2/6.

Simplify the fraction by dividing by 2, to get 1/3, which is 33.3%.

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Answer:two dimensional shapes

Step-by-step explanation:

Answer: b=2

Trust I know it it’s simple math been doing it for a while now

Step-by-step explanation:

answer is 12

becasue trust me

Answer:

C

Step-by-step explanation:

y is proportional to x, and constant of proportionality is ⅓:

y = ⅓x

Answer:

y=2.5x+6

Step-by-step explanation:

y= weight

6 is the weight that the baby is born so you would add it to the end making it the b

5 pounds every 2 months so 2.5 pounds every 1 month.

The linear equation model is y = 2.5x+6.

A linear equation is defined as an equation in which the highest power of the variable is always one.

The slope-intercept form is y = mx+c, where the slope is m and the y-intercept is c.

Given that mother gives birth to a 6-pound baby. Every 2 months, the baby gains 5 pounds

We have to determine an equation of a line in the form y = mx + b that describes the baby's weight.

If x is the age of the baby in months, then y is the weight of the baby in pounds.

Since 5 pounds every 2 months

Therefore 2.5 pounds every 1 month.

We would add 6 at the end of the equation, which would result in the birth weight.

Thus, the linear equation model is y = 2.5x+6.

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Answer:

You know that 5 g of sugar form 12%. Let x g be the amount of water needed. The total amount of syrup will be x+5 g. Then

5 g - 12%,

x+5 g - 100%.

mathematically you can write a proportion;

5/x+5=12/100

=>500=12(x+5)

,500=12x+60

,12x=400,

x=440/12

=110/3

36.66 grams of water is added  to make 12% sugar syrup using 5g sugar.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Let the amount of water is added be 'x'.

Amount of sugar = 5 g

We need to make 12% of sugar syrup.

x grams of water is added to 5 g of sugar, to 12% of sugar syrup.

5/5+x=12/100

Apply cross multiplication

5×100=12(5+x)

500=60+12x

Subtract 60 from both sides

440=12x

Divide both sides by 12

x=36.66

Hence, 36.66 grams of water is added  to make 12% sugar syrup using 5g sugar.

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Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

3x + 6(x - 11) = 5x - 18

Step 2: Solve for x

Answer:

y = 1x - 80

Step-by-step explanation:

Formula: y = mx + b

m = slope

b = y-intercept (where the line intersects the y-axis)

m = rise over run or y/x

r/r = 10/10 = 1

b = -80

y = mx + b

y = 1x - 80 or y = x - 80 (same thing)

y = 1x - 80

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

no its an irrational number

Step-by-step explanation:

hope it helps im not 100%

Answer:

Blueprint width of window = 1.5 in

Step-by-step explanation:

Missing;

Ratio model

3 in : 5 ft

Given:

Actual width of window = 2.5 feet

Find:

Blueprint width of window

Computation:

Blueprint width of window = Actual width of window x (3 in / 5 ft)

Blueprint width of window = 2.5 ft x (3 in / 5 ft)

Blueprint width of window = 1.5 in

Answer:

Since the cross section is constrained to be perpendicular to the base, the shape of it is constrained to be a  Rectangle

Step-by-step explanation:

That rectangle may be a square, but is not required to be.

Answer:

Step-by-step explanation:

Any cross section that is perpendicular to the base will result in rectangular shape

Correct choice is C

Answer/Step-by-step explanation:

Given that a and b are two corresponding sides of two similar figures, it follows that the ratio of their areas = a²/b².

We would use the above knowledge to solve the questions given as follows:

✔️The first pair similar of shapes:

Missing area = x cm²

Therefore,

x/9 = 8²/4²

x/9 = 64/16

x/9 = 4

Cross multiply

x = 4 × 9

x = 36 cm²

✔️The second pair similar of shapes:

Missing area = x cm²

Therefore,

x/240 = 8²/32²

x/240 = 64/1,024

Cross multiply

x*1,024 = 64*240

x*1,024 = 15,360

Divide both sides by 1,024

x = 15,360/1,024

x = 15 cm²

✔️The third pair similar of shapes:

Missing area = x cm²

Therefore,

x/40 = 3²/2²

x/40 = 9/4

Cross multiply

x*4 = 9*40

x*4 = 360

Divide both sides by 4

x = 360/4

x = 90 cm²

Answer: 4x+4

Step-by-step explanation:

4.x

4.1

Answer:

[tex]4x+4[/tex]

Step-by-step explanation:

The distributive property of multiplication states that [tex]a(b+c)=a*b+a*c[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are any real numbers. In the case of [tex]4(x+1)[/tex], we know that [tex]a=4[/tex], [tex]b=x[/tex], and [tex]c=1[/tex]. Therefore, using the distributive property, [tex]4(x+1)=4*x+4*1=4x+4[/tex]. Hope this helps!

Answer:

8.9 units

Step-by-step explanation:

Distance between (3, -2) and (7, 6) using distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex].

Let,

[tex] (3, -2) = (x_1, y_1) [/tex]

[tex] (7, 6) = (x_2, y_2) [/tex]

Plug in the values

[tex] d = \sqrt{(7 - 3)^2 + (6 - (-2))^2} [/tex]

[tex] d = \sqrt{(4)^2 + (8)^2} [/tex]

[tex] d = \sqrt{16+ 64} [/tex]

[tex] d = \sqrt{80} = 8.9 [/tex] (nearest tenth)

Answer:

8 point 9  

i know

Answer:

x = -81 / 19

Step-by-step explanation:

y = kx

-57 = 9k

k = -57/9 or -19/3

27 = [tex]\frac{-19x}{3}[/tex]

-19x = 81

x = -81 / 19

[tex]\\ \rm\bull\longmapsto x\propto y[/tex]

[tex]\\ \rm\bull\longmapsto x_1y_2=x_2y_1[/tex]

[tex]\\ \rm\bull\longmapsto x_2=x_1y_2\div y_1[/tex]

[tex]\\ \rm\bull\longmapsto x_2=\dfrac{9(27)}{-57}[/tex]

[tex]\\ \rm\bull\longmapsto x_2=\dfrac{243}{57}[/tex]

[tex]\\ \rm\bull\longmapsto x_2=-4.26[/tex]

[tex]\\ \rm\bull\longmapsto x_2\approx 4[/tex]

Using the concept of binomial probability, the probability of making exactly 11 throws is [tex]6.073 \times 10^{-15} [/tex]

Recall :

The probability of making exactly 11 throws can be defined thus :

Using a binomial probability calculator :

P(X = 11) = [tex]6.073 \times 10^{-15} [/tex]

Therefore, the probability is [tex]6.073 \times 10^{-15} [/tex]

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