what would the graph of 10x + 7y < 49 look ?

Answer:

x equals six start fraction one over two end fraction

Step-by-step explanation:

Segments which are parallel have the same slope. Find the slope of of YZ. Then using that value, find the slope WX and solve for the value of x.

Slope of YZ is:

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{6-2}{5-2} =\frac{4}{3}[/tex]

Since they are parallel, then WX has a slope of 4/3 too.

Slope of WX is:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\\frac{4}{3} = \frac{-4--2}{5-x}\\\\\frac{4}{3} =\frac{-2}{5-x}\\\\ (5-x)\frac{4}{3} = -2\\\\ 20 - 4x = -6\\\\-4x = -26 \\\\ x = 6 \frac{1}{2}[/tex]

Answer:

11.99 ft

Step-by-step explanation:

The formula for the volume of a cyl. of radius r and height h is V = πr²h.

Solving this immediately for h yields:

         V

h = ----------

         πr²

Inserting the known quantities results in:

         V           1356.48 ft³

h = ---------- = ----------------------      Note that r = (1/2)d, so r = (1/2)(12 ft) = 6 ft

         πr²         3.14159 (6 ft)²

   =   11.994 ft

The height of the cyl. is 11.99 ft (to the nearest hundredth foot)

Final answer:

To find the height of the cylinder with a volume of 1,356.48 cubic feet and a diameter of 12 feet, divide the volume by the area of the base (calculated with a radius of 6 feet) to get approximately 11.99 feet.

Explanation:

To calculate the height of a cylinder when the volume and diameter are given, we use the formula for the volume of a cylinder, V = πr²h, where V is the volume, r is the radius, and h is the height. In this case, we have a volume of 1,356.48 cubic feet and a diameter of 12 feet, meaning the radius is 6 feet (half of the diameter). So we can plug these values into our formula to solve for h.

First, calculate the area of the base (πr²): 3.14159 × (6 feet)² = 3.14159 × 36 = 113.0976 square feet. Then we divide the given volume by this area to find the height: 1,356.48 cubic feet / 113.0976 square feet = 11.99 feet. Therefore, the final answer for the height of the cylinder is approximately 11.99 feet.

Answer:

y =0

Step-by-step explanation:

From the equation;

8³ × 8⁻⁵×8^y = 8⁻²= 1/8²

From the laws of indices;

aⁿ×aⁿ = a^2n

Therefore;

8³ × 8⁻⁵×8^y = 8^(3+-5+y)

8^(-2+y) = 8^-2 ; but the bases are the same and thus the exponents are the same;

-2 + y = -2

      y = 0

Answer:

The value of y is 0

Step-by-step explanation:

8³ * 8^-5*8^y = 8^-2 or 1/8²

Taking indices of both sides

From first law of indices;

Multiplication sign change to addition; i.e. x^a * x^b = x^(a + b).

So,

8³ * 8^-5*8^y = 8^-2

Becomes

8^(3 + (-5) + y) = 8^-2

Same base of 8 can cancel one another. So, we're left with

3 + (-5) + y = -2

Open the bracket

3 - 5 + y = -2

-2 + y = -2

Make y the subject of formula

y = 2 - 2

y = 0

Hence, the value of y in the equation is 0

Answer:

2/25 is the Answer, as a decimal it is 0.08

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x + 1/50 = 1/10

Step 2: Subtract 1/50 from both sides.

x + 1/50 - 1/50 = 1/10 - 1/50

X = 2/25

Proof that it is the answer

0.02 + 0.08 = 0.1

0.02 is 1/50

0.08 is 2/25

0.1 is 1/10

Hope this helps!

[tex]\bold{Hey\ there!} \\ \bold{\frac{1}{50}+x=\frac{1}{10}}\\ \\ \bold{You\ have\ to\ simplify\ both\ sides\ of\ your\ equation\downarrow}\\ \bold{Like:x+\frac{1}{50}=\frac{1}{10}} \\ \\ \bold{Next,\ you\ have\ to\ \underline{SUBTRACT}\ by\ \frac{1}{50}\ on\ your\ sides} \\ \bold{x+\frac{1}{50}-\frac{1}{50}=\frac{1}{10}-\frac{1}{50}}\\ \\ \bold{Cancel:\frac{1}{50}-\frac{1}{50}because\ it\ equals\ to\0!} \\ \bold{Keep:\frac{1}{10}-\frac{1}{50}\ because\ it\ helps\ us\ solve\ for\ our\ answer!}[/tex]

[tex]\bold{\frac{1}{10}-\frac{1}{50}=\frac{2}{25}} \\ \\ \\ \\ \boxed{\boxed{\bold{Answer:x=\frac{2}{25}}}}\checkmark \\ \\ \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]

Answer:

D. (2,1)

Step-by-step explanation:

Fill in the value for y from the first eq (6x-11) into the second:

-2x - 3(6x-11) = -7

Now simplify:

-2x -18x + 33 = -7

-20x = -7-33

20x = 40

x = 2

Now that we have x, plug it into the top eq to get y:

y = 6*2 - 11 = 1

Et voila, x=2 and y=1, so the solution is (2,1).

Answer:

X= 2 and Y=1

Step-by-step explanation:

✯Hello✯

↪  So you know what y is so you can substitute into -2x-3y=-7

↪  -20x+33=-7 (thats after you expand the brackets)

↪ -20x=40

↪  this means that x=2. Therefore if u substitute y=1 and its on the options

❤Gianna❤

Answer:

28 and a=lenth times width

Step-by-step

mutiply 7 time 4 and it is 28

Answer:

yes

Step-by-step explanation:

Substitute x = - 10 into the equation and if the value obtained equals - 34 then the point satisfies the equation and lies on the line

x = - 10 : y = (3 × - 10) - 4 = - 30 - 4 = - 34 ← agrees

Hence (- 10, - 34) lies on the line y = 3x - 4

The mortgage loan amount is $82,500. The closing costs are 3 percent of the loan amount. Therefore, the total closing costs are $2,475.

Sarah Wood and her husband are purchasing a house for $87,500.00, but they are making a down payment of $5,000.00. Therefore, the mortgage loan amount is $87,500 - $5,000 = $82,500. The closing cost for this mortgage loan is 3 percent of the loan amount. Thus, to calculate the total closing costs, we multiply the loan amount by 3%. Therefore, total closing costs are $82,500 * 0.03 = $2,475.00.

So, total closing costs are $2,475.00.

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The total closing costs are $2,475.00.

To calculate the total closing costs, we need to find 3 percent of the mortgage loan amount.

First, calculate the mortgage loan amount by subtracting the down payment from the house price: $87,500.00 - $5,000.00 = $82,500.00.

Then, find 3 percent of $82,500.00 by multiplying it by -

0.03: $82,500.00 * 0.03

= $2,475.00.

So, the total closing costs are $2,475.00.

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Answer:

30.6

Step-by-step explanation:

Area of Parallelogram = base x altitude

base = 6.8

altitude = 4.5

6.8 x 4.5 = 30.6

Answer:

~

Step-by-step explanation:

There isn't enough context information to solve the following problem.

Answer:

7

Step-by-step explanation:

This is an equation of an ellipse of the form:

[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]

Where a and b are the minor and major intercepts, given a<b

In this question, a<b and a = 3 and b = 7

The distance from the center to the major intercept is b, thus the distance we are seeking for is 7

Answer:

b = 7 units.

Step-by-step explanation:

The given equation of the ellipse is

[tex]\frac{x^{2} }{9} +\frac{y^{2} }{49}=1[/tex]

As we know in an ellipse  [tex]\frac{x^{2} }{a^{2} }+ \frac{y^{2} }{b^{2}}=1[/tex]

a will be major axis and b is the minor axis when ( a > b )

In the given equation 49 > 9 ⇒ b² > a²

so major axis will be = √49

                                  = 7

Therefore, distance from center to the major intercept is b = 7 units.

You have to plug the values in the expression and see if it returns zero.

The only points where the function evaluates to zero are [tex] x=\pm 3[/tex] and [tex]x=6[/tex]

I think it's d but not sure

2/3 is 0.6 repeating

66% is just 66%

same with 0.67

order is 0..67, 2/3, then 66%. i am the stupid.

% = decimal number

Answer:

0.67, 2/3, 66%

Step-by-step explanation:

2/3 decimal is 0.66666666667

66% decimal is 0.66

and 0.67 is 0.67

Hope this helped! Please mark as brainliest! Thanks!

Answer: [tex]f(x)=4^x[/tex]

Step-by-step explanation:

The general exponential function is given by :-

[tex]f(x)=Ab^x[/tex], where A is initial amount , b is multiplicative growth rate and x is time period.

Also, the multiplicative growth rate is the common ratio of the consecutive terms.

From the given table , [tex]b=\dfrac{256}{64}=4[/tex]

Substitute, x = 3 , f(x)=64 and b=4 , we get

[tex]64=A(4)^3\\\\\Rightarrow\ 64=A(64)\\\\\Rightarrow\ A=1[/tex]

Hence, the exponential function represents the data in the table is

[tex]f(x)=(1)(4)^x\\\\\Rightarrow\ f(x)=4^x[/tex]

movies is 2.59 and videos is 5.944

//Hope this helps

The correct answer is $6.50 for each video game and $2.50 for each movie. My work:

3 x 2.50 = $7.50 and 5 x 6.50 = $32.50

32.50 + 7.50 = $40.00

12 x 2.50 = $30.00 and 2 x 6.50 = $13.00

30.00 + 13.00 = $43.00

Hope this helps.

Answer: OPTION A

Step-by-step explanation:

A relation is a function if for each value of x (input value) there is an unique value of y (output value).

For the equation given in the problem:

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

There is an unique value of y for each value of x.

Therefore, the equation is a function and a function is also  a relation.

Then, the answer is the option A

Answer:

A

Step-by-step explanation:

The answer is 6

Trust me!

It's not four nor 8 is 6

The 4 cookies can be divided into 6 pairs of cookie pieces:

4 divided by 2/3 = 6

Answer:

5.94x10^1

Step-by-step explanation:

In scientific notation all numbers are written in the form of m×10n (m times ten raised to the power of n), where the exponent n is an integer, and the coefficient m is any real number, called the significand or mantissa. If the number is negative then a minus sign precedes m (as in ordinary decimal notation).

the lesser number is 5.

Let the first number = x

Let the second number = y

set up two equations

x + y = 17

2/3 x -3 = y

sub the second equation into the first one

x + 2/3 x - 3 = 17

collect like terms (1x = 3/3 x)

5/3 x - 3 = 17

add 3 to both sides

5/3 x = 20

multiply by 3 on both sides

5x = 60

divide by 5 on both sides

x = 12

sub back in one of the equations and solve to find the other number:

x + y = 17

12 + y = 17

y= 5

•have a good day• :) ~ ♡lipika♡

The lesser number is 5.

Let us consider that first number is x .

Since, second number is 3 less than 2/3 of the other number.

So that, second number [tex]=\frac{2}{3}x-3[/tex]

The sum of both number is 17.

             [tex]x+\frac{2}{3}x-3=17\\\\\frac{5}{3}x=17+3\\\\\frac{5}{3}x=20\\\\x=20*\frac{3}{5}=12[/tex]

Lesser number is. [tex]=\frac{2}{3}x-3=\frac{2}{3}*12-3=5[/tex]

Hence, the lesser number is 5.

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Well, this is just a big guess, but probably the most sense-able, B) 400 ft²

Answer:

C.

Step-by-step explanation:

Answer:

Choice c is the answer.

Step-by-step explanation:

We have given a expression.

[tex]\frac{\sqrt{x} }{\sqrt{x}+\sqrt{5}}[/tex]

We have to find the rationalized form of above expression.

Multiplying and dividing by [tex]\sqrt{x}-\sqrt{5}[/tex] to given expression,we have

[tex]\frac{\sqrt{x} }{\sqrt{x}+\sqrt{5}  } \frac{\sqrt{x}-\sqrt{5}  }{\sqrt{x}-\sqrt{5}  }[/tex]

[tex]\frac{\sqrt{x}(\sqrt{x}-\sqrt{5})}{(\sqrt{x})^{2}-(\sqrt{5})^{2}}[/tex]

[tex]\frac{(\sqrt{x})^{2}-\sqrt{5}\sqrt{x}}{x-5}[/tex]

[tex]\frac{x-\sqrt{5x} }{x-5}[/tex] which is the rationalized form of given expression.

Answer:

Step-by-step explanation:

-12x+x+26+15-2-3=0

-11x+36=0

-11x=-36

x=36/11

or x=3.2̅7̅

Answer:

He must sell $14000 of merchandise

Step-by-step explanation:

The salesperson earns a base salary of $800

This means that he must make

$3600 - $800 = $2800 worth of commisions

Let x, be the value of the mechandise that he needs to sell.

This means that

x*0.20 = $2800

x  = $2800/0.20

x = $14000

He must sell $14000 of merchandise

the answer to the problem is c

The answer is actually B) 1.25

Answer:

4

Step-by-step explanation:

You can divide all the x from the y like , 45/9 =4 so it equals four

Yes, the table does show a proportional relationship and the constant of proportionality is 4.

If the corresponding elements of two sequences of numbers have a constant ratio,

Known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.

We know constant of proportionality is when we have the same multiplicative or division factor between two variables.

Given, when x = 3, y = 12, So y = 4x.

Again when x = 6 , y = 24, so, y = 4x and from observation we can conclude that y is 4 times of x or y = 4x.

∴ The constant of proportionality is 4.

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(-8)(-12)(2) = -8 • -12 • 2

192 //It's positive because - - = +.

Answer: 192

//Hope it helps.

Answer with explanation:

Here the meaning of equivalent expression is that, the value of the expressions after applying operations ,that is original expression and equivalent expression is Identical.

We have to find that expression which is equivalent to:

 (-8)×(-12)×(2)

Integers follows Associative Property, that is for any three Integers

→→ a × (b×c)=(a×b)×c=(a×c)×b

So, equivalent expression of   →→  (-8)×(-12)×(2)

1.→ [(-8)× (-12)]× (2)

2.→[(-8)×(2)]×(-12)

3.→[(2)×(-12)]×(-8)

4.→ 192

Answer:

it is bigger by 1/5

Step-by-step explanation:

32,000 divided by 500 = 64

Answer: 32000/500= 64 approximately

Step-by-step explanation:

64 is the answer because 31969/488= 65.51

Answer:

9

Step-by-step explanation: