The sum of two numbers is 50. The first number is 43 less than twice the second number. Write and solve a system of equations to find the two numbers.

Answer:

Step-by-step explanation:

sorry

no graph paper to graph

The only solution to the inequality is point A, (1,4). Thus, the correct answer is A. To find the solution to the inequality [tex]\( y > \frac{1}{2}x + 2\),[/tex] we need to determine which of the given points satisfy the inequality. Let's test each point by substituting its coordinates into the inequality and checking if it holds true.

A. (1,4):

When [tex]\(x = 1\)[/tex] and [tex]\(y = 4\),[/tex] we have:

[tex]\(4 > \frac{1}{2}(1) + 2\)[/tex]

[tex]\(4 > \frac{1}{2} + 2\)[/tex]

[tex]\(4 > 2.5\)[/tex]

This is true, so point (1,4) satisfies the inequality.

B. (-1,1):

When [tex]\(x = -1\)[/tex] and [tex]\(y = 1\)[/tex], we have:

[tex]\(1 > \frac{1}{2}(-1) + 2\)[/tex]

[tex]\(1 > -\frac{1}{2} + 2\)[/tex]

[tex]\(1 > 1.5\)[/tex]

This is false, so point (-1,1) does not satisfy the inequality.

C. (2,3):

When [tex]\(x = 2\)[/tex] and [tex]\(y = 3\)[/tex], we have:

[tex]\(3 > \frac{1}{2}(2) + 2\)[/tex]

[tex]\(3 > 1 + 2\)[/tex]

[tex]\(3 > 3\)[/tex]

This is false, so point (2,3) does not satisfy the inequality.

D. (0,2):

When [tex]\(x = 0\)[/tex] and [tex]\(y = 2\)[/tex], we have:

[tex]\(2 > \frac{1}{2}(0) + 2\)[/tex]

[tex]\(2 > 2\)[/tex]

This is false, so point (0,2) does not satisfy the inequality.

Therefore, the only solution to the inequality is point A, (1,4). Thus, the correct answer is A.

The complete question is:

Which of the following is a solution to this inequality? y>1/2x+2

A. (1,4)

B. (-1,1)

C. (2,3)

D. (0,2)

Answer:

x=39° bc you add 102 +39 then subtract the total by 180

Answer: i think its 39 cause

180-(39+102)= 39

Answer:

5.25 miles

Step-by-step explanation:

Answer:24

Step-by-step explanation: the pattern is add 5 minus 2 (13+5=18, 18-2=16) so 19+5=24

Answer: 24

Step-by-step explanation: pattern is add 5 then subtract two for next one

Hope this helps

Answer:

18:24

18:24

15:20

15:20

Step-by-step explanation:

Because 18/3:24/3 = 3:4

Also, 15/5:20/5 = 3:4

Answer:

x=7 is the answer

3x+6=27 is the equation

x=7 is the correct answer for the equation.

To solve the equation 3x + 6 = 27, subtract 6 from both sides and then divide by 3 to get x = 7. Verify by substituting x = 7 back into the original equation. This confirms the solution is correct by making a true statement.

Step by Step Solution:

When solving an algebraic equation, the goal is to find the value of the variable that makes the equation true. For example, consider the equation 3x + 6 = 27. To solve for x, follow these steps:

Subtract 6 from both sides of the equation: 3x + 6 - 6 = 27 - 6, which simplifies to 3x = 21.

Next, divide both sides by 3: 3x / 3 = 21 / 3, which gives x = 7.

To verify the solution, substitute x = 7 back into the original equation: 3(7) + 6 = 27. Simplifying this, we get 21 + 6 = 27, which is a true statement, verifying our solution.

Note that an identity in algebra is an equation that is true for all values of the variable, such as 6 = 6. In our example, the solution x = 7 makes both sides of the original equation equal, thus satisfying the equation.

Answer:

n = 2m

Step-by-step explanation:

total number of movies = 2 movies every month times the number of months

Answer:

n = 2m

Step-by-step explanation:

total number of movies = 2 movies every month times the number of months

Answer:

-1.6

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ!

Your equation will be 2x*6=(11*x)-(8/5)

12x=11x-1.6

-11x -11x

x=-1.6

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

The number that satisfies the given condition the product of twice a number and six is the same as the difference of eleven times the number and 8/5 is -1.6.

Let's assume the number we are looking for is "x."

The problem states that the product of twice the number and six is the same as the difference of eleven times the number and 8/5.

Step 1: Express the given statement as an equation.

The product of twice the number and six is 2x * 6 = 12x.

The difference of eleven times the number and 8/5 is 11x - 8/5.

Now, we can set up the equation:

12x = 11x - 8/5

Step 2: Solve for x.

To solve for x, we need to isolate x on one side of the equation. Subtract 11x from both sides of the equation:

12x - 11x = 11x - 11x - 8/5

x = -8/5

The number we are looking for is x = -8/5 or -1.6.

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I'm pretty sure it's

(24/3) + x.

Simplify it: 8 + x

Answer:

  3 cm

Step-by-step explanation:

The formula for the area of a rectangle is ...

  A = LW . . . . . . area is the product of length and width

Fill in the given values and solve for the width (W).

  18 cm² = (6 cm)W

  (18 cm²)/(6 cm) = W = (18/6) cm²/cm . . . . . . divide by the coefficient of W

  W = 3 cm

The width of the rectangle is 3 cm.

The width of a rectangle, with a length of 6 cm and an area of 18 cm squared, is 3 cm.

The question is asking for the width of a rectangle which we can find using the formula for the area of a rectangle. The formula is: Area = Length x Width. From the given question, we know that the area is 18 cm2 and the length is 6 cm. So, we can set up the equation: 18 = 6 x Width. To solve for width, we divide both sides of the equation by 6. This gives us Width = 18 ÷ 6 which equals 3 cm.

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Answer:

Elena went 4 meters a second.

Step-by-step explanation:

The first thing we would do would be to divide 60 and 15.

So 60÷15

This would equal 4.

If you have any questions feel free to ask in the comments. - Mark

Answer:

She went 4 meters per second

Step-by-step explanation:

Equation is:   15x=60

                     15     15

x=4 meters    

Answer:the tip itself will be $6.20 but in total it will all cost $68.20

Step-by-step explanation:

Answer:

0 to StartFraction pi Over 2

Step-by-step explanation:

we know that

If the arc on a circle measures 85 degrees, then the measure of the central angle is also 85 degrees too

so

The central angle in degrees is within the range [tex](0,90^o)[/tex]

Convert to radians

Remember that

[tex]\frac{\pi}{2}\ radians=90^o[/tex]

therefore

the range in radians is [tex](0,\frac{\pi}{2})[/tex]

0 to StartFraction pi Over 2

Answer: A. 0 to pi/2 radians

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:27

Step-by-step explanation: 9 goes into 2 zero times. Put a zero on top. 9 goes into 24 two times. Put a 2 on top. Now multiply 9 by 2 and get 18. Put 18 under the 24 and subtract. This gives 6. Bring down the 3 and have 9 into 63 which is 7. Put a 7 on top. The top is the answer of 027, cancel the zero and get 27.

Height is 6 inches

Step-by-step explanation:

The volume of a box can be calculated as : l * w * h

Volume of the box is given as =672 in²

Applying the formula

v=l*w*h

672= 14*8*h

672/(14*8) = h

6=h

Height is 6 inches

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Answer:

6 in

Step-by-step explanation:

The seventh term is 23.

Step-by-step explanation:

Given, First term, a = 11

= 11 + (6*2)

= 11 + 12 = 23

The equation 2.1 plus 2 x equals 7.5 can be used to find the value of x ⇒ 4th answer

Step-by-step explanation:

In an isosceles triangle:

∵ The triangle is isosceles

- That means it has two equal sides

∵ The shortest side is y

∵ The length of the other two sides is x

∴ The perimeter of the triangle = y + 2 x

∵ The perimeter of the triangle = 7.5 m

- Equate the expression of the perimeter by 7.5

∴ y + 2 x = 7.5

∵ The shortest side measures 2.1 m

∴ y = 2.1

- Substitute y by 2.1 in the equation above

∴ 2.1 + 2 x = 7.5

The equation 2.1 plus 2 x equals 7.5 can be used to find the value of x

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Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: [tex]y=0[/tex]

Step-by-step explanation:

For this exercise it is important to remember:

1. The Product of powers property. This property states that:

[tex](a^m)(a^n)=a^{(m+n)}[/tex]

2. The multiplication of signs:

[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-[/tex]

Then, given:

[tex]8^3*8^{-5}*8^y=8^{-2}=\frac{1}{8^2}[/tex]

You can identify that [tex]8^{-2}[/tex] is obtained by applying the Product of powers property:

[tex]8^{3+(-5)+y}=8^{-2}=\frac{1}{8^2}[/tex]

Based on the explained above, you can write the following equation:

[tex]3+(-5)+y=-2[/tex]

Therefore you must solve for the variable "y" in order to find its value. You get that this is:

[tex]3-5+y=-2\\\\-2+y=-2\\\\y=-2+2\\\\y=0[/tex]

Answer:

You're trying to find the value of y that would result in 8^-2. When you multiply terms with the same base, you can add the exponents. 3+-5=-2 and -2-(-2) equals 0, so therefore y is equal to 0.

Step-by-step explanation:

Answer:

64.94% or as a decimal .65

Step-by-step explanation:

7.7 billion (x)=15 million

7.7x /7.7 and 15/7.7

is about .... 64.94% which is about .65

x- represents the unknown percentage.

Sorry if incorrect :(

Term life insurance is insurance that insures you for a certain time period like 5 years for example.

Usually in months and years is how its done.

Term life insurance is for a specific time period and is the cheapest way to buy life insurance.

Unlike permanent life insurance policies, which cover an individual for their entire life, term life insurance offers protection for a predetermined period, such as 10, 20, or 30 years. Because it does not accumulate cash value and only pays out a death benefit if the insured passes away during the specified term, premiums for term life insurance tend to be lower compared to permanent policies.

The affordability of term life insurance makes it an attractive choice for individuals seeking to secure financial protection for their loved ones during specific critical periods, such as the years when children are growing up or when a mortgage is being paid off.

It's a straightforward and efficient way to provide a death benefit for beneficiaries in case the insured passes away within the chosen term, offering financial security without the long-term commitment and higher premiums associated with permanent life insurance options.

Answer:

42/72

Step-by-step explanation:

42/7=6

12*6=72

What will be the population after 5 years is 20,683.

Using this formula

A=P(1+r/100)^n

Where:

P=17000

r=4%

n=5 years

Let plug in the formula

P=17,000(1+0.04)^5

P=17,000×(1.04)^5

P=17,000×1.2166529

P=20,683

Inconclusion the population after 5 years is 20,683.

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Answer:

y = 27218

Step-by-step explanation:

Answer:

None of the above

Step-by-step explanation:

So in order to do this you have to plug in each answer to the equation.

Lets start with (6,0)

0 = -2(6) + 6 =     0 = -6.  This answer is wrong because its false. 0 does not equal -6.

Next answer, (1,4)

1 = -2(4) + 6 =     1 = -2   This answer is also wrong because 1 does not equal -2.

Next answer, (-2,-2)

-2 = -2(-2) + 6 =      -2 = 10   This answer is wrong as well because -2 doesn't equal 10.

This leaves us with none of the above which is true since the first 3 answers are wrong.

Answer:

OPTION D: (-1, 10)

Step-by-step explanation:

The equation of a line in standard form is given by: [tex]$ \textbf{y} \textbf{-} \textbf{y}_\textbf{1} \hspace{1mm} \tetxbf{=} \hspace{1mm} \tetxtbf{m}(\textbf{x - x}_{\textbf{1}}) $[/tex]

Here, m is the slope of the line.

[tex]$ (x_1, y_1) $[/tex] is the point on the line.

Therefore, comparing it with the given data:

[tex]$ y - 2= -\frac{2}{3}(x - (-1)) $[/tex]

[tex]$ \implies y_1 = -2 $[/tex]

[tex]$ \& \hspace{2mm} x_1 = -1 $[/tex]

Hence, the point on the line is: (-1, 2).

Hence, the answer.

Answer:

D

Step-by-step explanation:

side HG is 3

side FG is 5 hypotenuse

sin F = 3/5 = opposite/hypotenuse

cos G is adjacent/hypotenuse

adjacent side is HG which = 3

hypotenuse is 5

Without additional context, we cannot give a direct answer for cos G based only on sin F = 3/5. If F and G are complementary angles in a right triangle, cos G would also be 3/5. Otherwise, more information about the relationship between F and G is needed.

To solve this question, we need a bit more context because there is not enough information provided to directly determine the value of cos G. However, typically, if sin F is given as 3/5 for a right triangle, then by the Pythagorean theorem, we know cos F = √(1 - sin^2 F), which calculates to 4/5, assuming F is an angle in a right triangle in standard position with F between 0 and 90 degrees.

This doesn't directly give us cos G, but if we assume G is the complementary angle to F in a right triangle (F + G = 90 degrees), then cos G = sin F and we could say cos G is also 3/5. If sine and cosine relate to different triangles or different contexts, we would need the relationship between angles F and G or additional information to solve for cos G.

Answer:

. .

. .

_

explanation

2×20^1+(1×5+2)×20^0=47

The number 47 in Mayan notation is:

..

-..

Writing 47 in Mayan notation:

1. Divide 47 by 20:

  - Quotient: 2

  - Remainder: 7

2. Convert to Mayan symbols:

  - Quotient (2) for the second level (20s place): Two dots (..)

  - Remainder (7) for the first level (units place): One bar and two dots (-..)

So, 47 in Mayan notation is:

..

-..

Top level (2 × 20) = ..

Bottom level (7) = -..