Find a linear equation with two variables that, together with the
equation 10x + 5y = 1, would comprise a system
without a solution.

Answer:

[tex]\boxed{\sf{2b+3}}[/tex]

Step-by-step explanation:

In order to solve this problem, first you need to simplify the expression to use a distributive property.

Distributive property:

[tex]\sf{A(B+C)=AB+AC}[/tex]

5+2b-2

Switch sides.

2b+5-2

Combine like terms.

You have to subtract by the numbers from left to right.

Solve.

5-2=3

2b+3

I hope this helps you! Let me know if my answer is wrong or not.

The probability of wearing a red shirt and a black jean is the likelihood of the shirt and jean

The probability of wearing a red shirt and a black jean is is 1/6

From the tree diagrams, we have the following parameters

Total combination = 6

Red shirt and Black Jean = 1

The probability of wearing a red shirt and a black jean is calculated as:

P = n(Red shirt and Black Jean)/Total combination

This gives

P = 1/6

Hence, the probability of wearing a red shirt and a black jean is is 1/6

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Answer: Heyo! ;D

I think I know how to solve this...

Let me know it this helps out in any way. :D

Median: "To find the median, first you need to list them in order from least to greatest:"

38, 41, 42, 47, 48, 51, 72, 74, 74, 77, 82, 129

"Now, you count starting from both ends and count to the middle. In this case, 51 and 72 are both the medians. However, there can be only one remaining median. So, what we do is add 51 to 72, then divide the sum by 2 to end with the correct median:"

72 + 51 = 123

123 / 2 = 61.5

Outliers: "All are in a pattern, beside the one number that stands out as the outlier in the given list of numbers. 129 is the only number that isn't in sync with the pattern, hence meaning this is the outlier in the sequence of numbers above."

~Artastic~

Answer: Amia is correct

Step-by-step explanation:

the total bill would be $46.82

Answer:

It’s irrational hope this is correct

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

Convert both to decimals

[tex]\\ \rm\Rrightarrow x=0.147147\dots [/tex]

[tex]\\ \rm\Rrightarrow 1000x=147.147..[/tex]

Hence..

On similar way we can get second one

So if

Then

Answer:

[tex]\frac{1}{3} - \frac{1}{9} = \frac{3}{9} - \frac{1}{9} = \frac{2}{9}[/tex]

The first one: 3

The second one: [tex]\frac{2}{9}[/tex]

Step-by-step explanation:

To find the common numerator, you can multiply by 3 on both the numerator and denominator.

Answer:

1. [tex] \theta = 61.9^\circ [/tex]

2. [tex] x = 23.7~cm [/tex]

Step-by-step explanation:

Problem 1.

Use the Law of Sines.

This is SSA.

[tex]\dfrac{a}{\sin A} = \dfrac{c}{\sin C}[/tex]

[tex] \dfrac{31.2~cm}{\sin 51^\circ} = \dfrac{35.4~cm}{\sin \theta} [/tex]

[tex] \sin \theta = \dfrac{35.4~cm \times \sin 51^\circ}{31.2~cm} [/tex]

[tex] \sin \theta = 0.88176 [/tex]

[tex] \theta = \sin^{-1} 0.88176 [/tex]

[tex] \theta = 61.9^\circ [/tex]

Problem 2.

m<A + m<B + m<C = 180°

m<A + 67° + 58° = 180°

m<A = 55°

Use the Law of Sines.

[tex]\dfrac{a}{\sin A} = \dfrac{c}{\sin C}[/tex]

[tex]\dfrac{x}{\sin 55^\circ} = \dfrac{24.5}{\sin 58^\circ}[/tex]

[tex]x = \dfrac{\sin 55^\circ \times 24.5}{\sin 58^\circ}[/tex]

[tex] x = 23.7~cm [/tex]

Answer:

40

Step-by-step explanation:

the easiest way to solve this equation is to divide 10 by .25 since, in this situation, all that is being bought are stickers

10/.25=40

hope this helps

Answer:

  360 inches

Step-by-step explanation:

Each foot is 12 inches. The number of inches in 30 feet is found by multiplying the number of inches in 1 foot by 30.

  30 × (12 inches) = 360 inches

The direct variation that of the speed to the skid length implies that the speed increases as the length increases

The car would be traveling at 59.96 mph

A direct variation that illustrates the speed of the skidding car is:

s = k√l

Where:

Make k the subject in s = k√l

k = s /√l

Rewrite as:

s₁ /√l₁ = s₂ /√l₂

Substitute known values

40 /√178 = s₂ /√400

Evaluate the square root of 40

40 /√178 = s₂ /20

Multiply both sides by 20

800 /√178 = s₂

Evaluate the quotient

s₂ = 59.96

Hence, the car would be traveling at 59.96 mph

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Answer

The population of the city in 24 years will

be approximately 2,024,467.3206337208

What is the population in 24 years?

The formula for calculating future value:

Population:- 2,024,466

Answer:

The number 3,822 is divisible by 3 and is not divisible by 9, because the sum of the digits is 3 + 8 + 2 + 2, which equals 15, and 15 is divisible by 3 but not by 9.

Answer: y = x + 6

Step-by-step explanation:

[tex]\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:perpendicular\:to\:}y=-x-2\mathrm{\:that\:passes\:through\:}\left(-2,\:4\right)[/tex]

[tex]\mathrm{For\:a\:line\:equation\:for\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is\:}\mathbf{m}[/tex]

[tex]m=-1[/tex]

[tex]\mathrm{The\:perpendicular\:slope\:is\:the\:negative\:reciprocal\:of\:the\:given\:slope}[/tex]

[tex]\left(-1\right)m_p=-1[/tex]

[tex]\frac{\left(-1\right)m_p}{-1}=\frac{-1}{-1}[/tex]

[tex]m_p=1[/tex]

[tex]\mathrm{Compute\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:for\:slope\:m=}1\mathrm{\:and\:passing\:through\:}\left(-2,\:4\right)[/tex][tex]\mathrm{Plug\:the\:slope\:}1\mathrm{\:into\:}y=mx+b[/tex]

[tex]y=x+b[/tex]

[tex]\mathrm{Plug\:in\:}\left(-2,\:4\right)\mathrm{:\:}\quad \:x=-2,\:y=4[/tex]

[tex]4=\left(-2\right)+b[/tex]

[tex]-2+b=4[/tex]

[tex]\mathrm{Add\:}2\mathrm{\:to\:both\:sides}[/tex]

[tex]-2+b+2=4+2[/tex]

[tex]\text{Simplify}[/tex]

[tex]b=6[/tex]

[tex]\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=1\mathrm{\:and\:}\mathbf{b}=6[/tex]

[tex]y=x+6[/tex]

Answer:

=0

Step-by-step explanation:becase I got it right on a test

Answer:

C. 15%

Step-by-step explanation:

35 * 0.15 = 5.25

35 - 5.25 = 29.75

A percentage is a way to describe a part of a whole. The percentage of discount on the swimsuit is 15%.

A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

We know that the cost of the swimsuit is $29.75, while the original cost of the swimsuit is $35. Now, after the discount the price will be a percentage of the original, therefore, the discounted price can be written as,

Discounted Price = x% of Original Value

[tex]29.75 = \dfrac{x}{100} \times 35\\\\x = 85[/tex]

Now, as we know that the discounted price is 85% of the original price, therefore, the price will have a 15% discount(100%-85%).

Hence, the percentage of discount on the swimsuit is 15%.

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Answer:

120

Step-by-step explanation:

we go add 3+1=4 and then 4×3=12 and then 12×10=120

Answer:

G

Step-by-step explanation:

The answer is statement G

well, the snoboard for $230 is clearly more than 100 bucks, so it's on sale with a 20% off, how much will that be?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 230}}{\left( \cfrac{20}{100} \right)230}\implies 46~\hfill \underset{sale~price}{\stackrel{230~~ - ~~46}{184}}[/tex]

now let's apply as 12% tax on that sale amount

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of 184}}{\left( \cfrac{7}{100} \right)184}\implies 12.88~\hfill \underset{final~price}{\stackrel{184~~ + ~~12.88}{196.88}}[/tex]

Answer:

Step-by-step explanation:

This is kinda confusing give me a second

Answer:

x=3

Step-by-step explanation:

4(x-2)=4.         divide both sides by 4

x-2=1.               add 2 to both sides

x=3

Answer:

2(x-4)

Step-by-step explanation:

* means multiplied by

2 is multiplied by the difference of a number and 4

multiplied by separates

2 AND "by the difference of a number and 4"

"by the difference of a number and 4" is in a parenthesis

"a number" means x

"the difference" means minus or -

2 is multiplied by the difference of a number and 4 =

2 * (x-4) =

2(x-4)

Answer:

8.60 inches

Step-by-step explanation:

The equation for circumference is 2πr. So we can solve for r (radius).

27inches=2πr

divide both sides by 2π :

r=4.299

The equation for diameter is 2*r so we just multiply

4.299 *2 = 8.598

since we have to round to the hundredth place the answer would be

8.60

The approximate diameter of the circular clock is 8.60 inches.

Circumference of a circle is defined as the total length of the boundary of the circle.

The concept is same as the perimeter for straight sided figures.

Given that,

Circumference of the clock = 27 inches

The formula to find the circumference is,

C = 2πr

where r is the radius.

2r is the diameter.

2πr = 27

2r = 27 / 3.14

2r = 8.5987 ≈ 8.60

Hence the diameter of the clock is 8.60 inches.

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Answer:

33.3 is your answer

Step-by-step explanation:

The surface area of the smaller cone A₁ is approximately 33.3 cm² when rounded to the nearest tenth.

A cone is a three-dimensional geometric form with a flat base and a smooth, tapering apex or vertex. A cone is made up of a collection of line segments, half-lines, or lines that link the base's points to the apex, which is a common point on a plane that does not include the base.

Two cones A₁ and A₂ are similar.

The radius of A₁ = 2 cm

radius of A₂ = 3 cm

The surface area of A₁ = ? cm²

surface area of A₂ = 75 cm²

Since the cones A₁ and A₂ are similar, their corresponding sides are proportional.

Specifically, the ratio of their radii is the same as the ratio of their surface areas. That is,

(radius of A₁) / (radius of A₂) = (surface area of A₁) / (surface area of A₂)

We can use this relationship to solve for the surface area of A₁:

(surface area of A₁) = (radius of A₁ / radius of A₂)^2 × (surface area of A₂)

Substituting the given values, we get:

(surface area of A₁) = (2/3)² × 75

(surface area of A₁) = 4/9 × 75

(surface area of A₁) ≈ 33.3 cm²

Therefore, (surface area of A₁) ≈ 33.3 cm²

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Answer:

1/4; 25%

Step-by-step explanation:

if a year has four seasons we can say that there are 4 possibilities

spring appears once

this means that the probability that a day chosen at random will be in spring would be 1 out of 4

or 25%

Step-by-step explanation:

is this what you were looking for?

Answer:

f^12

Step-by-step explanation:

f^4  * f^8

We that a^b * a^c = a^(b+c)

f^(4+8)

f^12

Hello!

We have the following expression:

[tex]\bf{f^4*f^8}[/tex]

Recall the Properties of Exponents:

[tex]\bold{a^ma^n=a^{m+n}}[/tex]

According to the property, if we have the same bases multiplied together, then we just add their exponents:

[tex]\bf{f^4f^8=f^{4+8}}[/tex]

Simplify:

[tex]\bf{f^{12}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

[tex]\rule{2}{2}[/tex]Knowledge is Power!