Catherine has $54. She plans to spend more than $20 of the money for a painting canvas. The rest will go toward paints. Each tube of paint costs $8.50. Assume that x represents the number of tubes of paint Catherine can buy
The inequality that represents this scenario is
1. 8.5x +20>54
2. 8.5x-20<54
3. 54-8.5x<20
4. 54- 8.5x>20

The answer is 1 and 3/4

Final answer:

Yasmine needs 1 1/4 cups of water to make 3 3/4 servings of spaghetti sauce.

Explanation:

Yasmine uses 1/3 cup of water for 1 serving of spaghetti sauce. She plans to make 3 3/4 servings of the sauce. To find out the total amount of water she will need, we first convert 3 3/4 servings to an improper fraction which is 15/4 servings. We then multiply this by the amount of water needed for one serving (1/3 cup).

Here's the calculation:

(15/4) servings × (1/3) cup/serving = (15/4) × (1/3) = 15/12 cups

Simplify 15/12 cups to get 5/4 cups or 1 1/4 cups.

Therefore, Yasmine needs 1 1/4 cups of water for 3 3/4 servings of spaghetti sauce.

• P is the principal amount, $3000.00.

• r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.

• t is the time involved, 8 years time periods.

• So, t is 8 year time periods.

To find the simple interest, we multiply 3000 × 0.06 × 8 to get that:

The interest is: $1440.00

Step-by-step explanation:

"Of" means multiplication, and percent means out of 100.

25/100 × 150 = 700/100 × n

75/2 = 7n

n = 75/14

n ≈ 5.357

The number n is equal to  [tex]\frac{75}{14}[/tex] .

Percentage is a ratio of output to total that can be expressed as a fraction of 100.

We have,

According to the question,

25% of 150 = 700 % of n,

Here,

n = number

Now,

Solving,

25% of 150 = 700 % of n

i.e.

[tex]\frac{25}{100} *150=\frac{700}{100} n[/tex]

On solving we get,

[tex]\frac{75}{2} =7n[/tex]

⇒

[tex]n=\frac{75}{14}[/tex]

So, the value of n is  [tex]\frac{75}{14}[/tex],

Hence, we can say that the number n is equal to  [tex]\frac{75}{14}[/tex] .

To know more about percentage click here

https://brainly.com/question/24159063

#SPJ2

Answer:

The system has no solution.

Step-by-step explanation:

We have two equations:

1st:  x+4y=10

2nd: 3x+12y=20

Write the two equations in slope-intercept form:

First equation:

4y=-x+10

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

Second equation:

3x+12y=20

12y=-3x+20

Divide through by 12

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

The two equations have the same slope but different y-intercepts.

The two equations are parallel and will never meet.

Therefore the system has no solution.

Answer:

(1, - 4 )

Step-by-step explanation:

To find the y- coordinate, substitute x = 1 into the equation

y = (3 × 1) - 7 = 3 - 7 = - 4

The missing value is -4.

Since you already know that x = 1, substitute that into the equation and simplify. y = 3(1) - 7

Anything times 1 equals itself. y = 3 - 7

Subtract. y = -4

ANSWER

x=27

EXPLANATION

The two triangles are similar so the corresponding sides are equal.

[tex] \frac{x}{x +1 8} = \frac{39}{39 + 26} [/tex]

[tex]\frac{x}{x +1 8} = \frac{39}{65} [/tex]

Cross multiply to get;

[tex]65x = 39(x + 18)[/tex]

Expand:

65x=39x+702

Group similar terms:

65x-39x=702

Simplify

26x=102

Divide both sides by 26,

x=702/26

x=27

Answer:

2, but it can be 4 if the perpendicular line goes through the other line.

Step-by-step explanation:

3/1 divided by 3/4 = 3/1 times 4/3. Multiply across to get 12/3 which = 4. It dripped for 4 hours.

Answer:

4. 120

5. 13

6. 70

7. 115

8. 28

9. I'm not sure for this one

10. 22

11. 45

Step-by-step explanation:

If you need me to explain how I got any of these just ask :)

The correct function to represent the transformation of the parent function f(x) = 5x, after being vertically compressed by a factor of one-fourth, shifted to the right three units, and up two units, is g(x) = 1.25(x - 3) + 2.

To find the transformed function of the parent function f(x) = 5x after a series of transformations, we must apply the following transformations step by step:

Vertically compress by a factor of one-fourth, which means we multiply the output by 1/4 or 0.25. Therefore, f(x) becomes f(x) = (1/4) * 5x = 1.25x.

Shift to the right three units, which means we replace x with (x - 3). Therefore, our function becomes f(x - 3) = 1.25(x - 3).

Shift up two units, which means we add 2 to the function's output. Our function now becomes f(x - 3) + 2 = 1.25(x - 3) + 2.

Putting it all together, the function that represents the transformation is g(x) = 1.25(x - 3) + 2.

Answer:

hold up i know it

Step-by-step explanation:

50, because 4÷5=.80 or 80%.

So 40÷50=.80 or 80%

Answer:

its 18

Step-by-step explanation:

b/c 6 times 3 is 18

It’s 2 because 6 divided by 3 is 2

Answer:

I believe the answer is 129.3mm.

Hope this helps!

Length of the chain without beads = 377.58 m

The total length of the chain = 400 m

Note that:

1 inch = 0.0254 m

Forty 17 inches beads = 40  x  17

Forty 17 inches beads = 680 inches

Forty 17 inches beads = 680  x  0.0254

Forty 17 inches beads = 17.272 m

Twenty-seven 6 1/2 'll beads = 27 x 6.5 x 0.0254

Twenty-seven 6 1/2 'll beads = 4.4577 m

Eight 3.4 inches beads on the chain = 8 x 3.4 x 0.0254

Eight 3.4 inches beads on the chain = 0.69088 m

Total length of the chain with beads = 17.272 m + 4.4577 m + 0.69088 m

Total length of the chain with beads =22.42 m

Length of the chain without beads = 400 m - 22.42 m

Length of the chain without beads = 377.58 m

Learn more on word problems on addition and subtraction here: https://brainly.com/question/21405634

Answer:

[tex]\large\boxed{x>\dfrac{1}{2}}[/tex]

Step-by-step explanation:

[tex]3(2x-1)>4x-2\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(3)(2x)+(3)(-1)>4x-2\\\\6x-3>4x-2\qquad\text{subtract 4x from both sides}\\\\2x-3>-2\qquad\text{add 3 to both sides}\\\\2x>1\qquad\text{divide both sides by 2}\\\\x>\dfrac{1}{2}[/tex]

Answer:

OL

Step-by-step explanation:

Got it right

Answer: B , OL on edg

Step-by-step explanation:

[tex]\bf ((5^{-2})(9^5))^{-6}\implies ((5^{-2\cdot -6})(9^{5\cdot -6}))\implies 5^{\stackrel{\stackrel{n}{\downarrow }}{12}}\times 9^{\stackrel{\stackrel{m}{\downarrow }}{-30}}[/tex]

Answer:

8568

Step-by-step explanation:

You have to choose 5 out of 18, and the order does not matter. So you're looking for the number of combinations, not permutations.

So you have to find 18C5.

nCr = n!/(n-r)!r!

so 18C5 = 18!/13!5!

              = (18 * 17 * 16 * 15 * 14 * 13!)/ 13!5!

              = 18*17*16*15*14/5*4*3*2*1

              = 8568

Hope it helps :)

The total number of ways to select a committee of 5 people from a group of 18 is 8568.

The question is asking for the total number of ways to select 5 people from 18. This is a commonly encountered problem in combinatorics, a mathematic field that deals with countable structures. To solve this, we use the combination formula, usually denoted as nCr where n is total items and r is number of items to choose. In this case, we use the combination formula C(18,5) where 18 is the total number of people and 5 is the committee size.

The formula for combination (nCr) is:

n! / (r!(n - r)!)

where '!' signifies a factorial which is the product of an integer and all the integers below it.

Inserting the numbers into the formula gives us:

18! / (5!(18 - 5)!) = 8568

So, there are 8568 different ways to choose a committee of 5 people from a group of 18.

https://brainly.com/question/37999460

#SPJ2

Answer:

Drawing a picture  = 1 and 2

Making a Table  = 5 and 8

Working Backwards  = 3 and 4

Looking for a Pattern =6 and 7

Step-by-step explanation:

Answer:

14 1/8 inches of molding

Step-by-step explanation:

In order to find the solution, we'll have to do 2 fractions subtractions.

To be able to subtract fractions, we have to make sure they are placed in the same denominator.  So, the first thing we'll do is to convert all the numbers in 8th, because that's the greatest denominator.

[tex]48 \frac{1}{2}  = 48 \frac{4}{8} = \frac{(48 * 8) + 4}{8}  = \frac{388}{8}[/tex]

[tex]10 \frac{1}{4} = 10 \frac{2}{8} = \frac{(10 * 8) + 2}{8} = \frac{82}{8}[/tex]

For the last one, we'll first convert the 2 feet into 24 inches.

[tex]24 \frac{1}{8} = \frac{(24 * 8) + 1}{8} = \frac{193}{8}[/tex]

Now, we'll subtract each of the two pieces cut from the original molding's length, first the 10 1/4 inches piece

[tex]\frac{388}{8} - \frac{82}{8} = \frac{388 - 82}{8} = \frac{306}{8}[/tex]

then the 2 feet 1/8 piece

[tex]\frac{306}{8} -  \frac{193}{8} = \frac{306 - 193}{8} = \frac{113}{8} = 14 \frac{1}{8}[/tex]

So,  the contractor is left with 14 1/8 inches of molding.

The markup would be $1.81 I hope this helps! : )

Answer:6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

C. [tex]f(x) = (x-2.5)^{2}-3.25[/tex]

Step-by-step explanation:

The vertex form for a quadratic function is:

[tex]f(x) = a(x-h)^2+k[/tex]

[tex]f(x) = a(x^2-2hx +h^2) + k[/tex]

[tex]f(x) = ax^2-2ahx +ah^2 + k[/tex]

[tex]f(x) = ax^2+bx+c, Second\ form[/tex]

[tex]ax^2+2ahx +ah^2 + k = ax^2+bx+c[/tex]

[tex]-2ah = b[/tex]

[tex]h = -\frac{b}{2a}[/tex]

from the quadratic function given you know that a = 1 , b = -5 and c = 3, thus:

[tex]h = -\frac{(-5)}{2(1)}=2.5[/tex]

[tex]ah^2+k = c[/tex]

[tex]Isolate\ k =>\ k = c-ah^2[/tex]

You know c,a and h, so replace the values:

[tex]k = 3-(1)(2.5)^2 \\ k = 3-6.25\\ k = -3.25\\[/tex]

• Finally replace the values for a, h and k in the vertex form:

[tex]f(x) = a(x-h)^2+k\\ f(x) = (1)(x-2.5)^2+(-3.25)\\ f(x) = (x-2.5)^2-3.25[/tex]

So answer is C. [tex]f(x) = (x-2.5)^2-3.25[/tex]

Answer:

8

Step-by-step explanation:

When you divide by a fraction, you can also say that you are multiplying by the reciprocal.

So [tex]6/\frac{3}{4}=6*\frac{4}{3}[/tex]

[tex]6=\frac{6}{1}[/tex]

[tex]\frac{6}{1}*\frac{4}{3}=\frac{24}{3}=8[/tex]

Answer:

Step-by-step explanation:

We need to find the graph of the following function:

Y - 4 = 4/3(x-2)

Solving for Y we have:

Y = 4/3(x-2) + 4

The graph is similar to the graph of f(x) = 1/x. But, with the following differences:

1. The graph is translated vertically upwards by 4 units.

2. The graph is translated horizontally to the right 2 units.

3. The graph is enlarged by a factor of 4/3.

Then, considering all these facts. The graph of f(x) = 1/x and the new graph according to all the characteristics stated before are attached.

Answer:

d

Step-by-step explanation:

To find the volume of a cylinder you first find the area of the circle faces.

pi * r^2

Next you multiply that area by the height

The three pieces you used were pi, the radius, and the height

Answer:  The best answer—and correct answer—is:  

_________________________________________

                         →   Answer choice:  [D]:

_________________________________________

         " The volume depends on pi, the radius of the cylinder, and the height of the cylinder.​ "

_________________________________________

{Note:  Technically—and by extension—Answer choice:  [A]:

_________________________________________

         " The volume depends on the radius and the height of the cylinder ."   ;

_________________________________________

        →  is also a "true— and correct— statement" ;  since the volume "does" depend on the radius and the height of the cylinder [but not solely on these 2 (two) elements] — since

"pi" [ "π" ] must be included as well.}.

_________________________________________

Step-by-step explanation:

_________________________________________

{Note:  The statement at the beginning of this question should be written correctly— to read as follows:

_________________________________________

   " The formula for the volume of a cylinder is V = π * r² * h.  Which statement is true? "}.

_________________________________________

{Note:

in which:  "V = Volume" ;  " π = pi ";  "r = radius" ; "h = height " .} .

_________________________________________

Note that the Volume, "V" ; depends on all of the following three (3) elements:

_________________________________________

  1.  "pi" [ "π" ] ;  and:

  2.  the radius, "r" ; and:

  3.  the height, "h" .                                                                          _________________________________________

Hope that this answer—and explanation—is helpful to you.

       Wishing you well in your academic endeavors

                — and within the "Brainly" community!

_________________________________________

Answer:

A

Step-by-step explanation:

The equation of a parabola is y = ax² + bx + c : a ≠ 0

Given

y = 2 (x + 4)² - 7 ← expand the squared factor

y = 2(x² + 8x + 16) - 7 ← distribute the parenthesis by 2

y = 2x² + 16x + 32 - 7 ← collect constant terms

y = 2x² + 16x + 25 → A

Answer:

16

Step-by-step explanation:

ANSWER

A.

[tex]P(x)=6x^2 +75x +200[/tex]

EXPLANATION

The given revenue function is:

[tex]R(x)=6x^2 +100x+300[/tex]

The cost function is

[tex]C(x)=25x+100[/tex]

The profit function can be obtained by subtracting the cost function from the revenue function.

[tex]P(x)=R(x)-C(x)[/tex]

This implies that:

[tex]P(x)=6x^2 +100x+300 - (25x + 100)[/tex]

Expand the parenthesis to get:

[tex]P(x)=6x^2 +100x+300 - 25x - 100[/tex]

Group similar terms:

[tex]P(x)=6x^2 +100x - 25x - 100+300[/tex]

Combine the similar terms to get:

[tex]P(x)=6x^2 +75x +200[/tex]

The cot answer is A

Answer:

The area of the park is [tex]108\ m^{2}[/tex]

Step-by-step explanation:

we know that

The scale drawing is [tex]\frac{5}{3}\frac{cm}{m}[/tex]

step 1

Find the actual length of the rectangular park

Divide the length in the drawing by the scale drawing

[tex]20/(5/3)=12\ m[/tex]

step 2

Find the actual width of the rectangular park

Divide the width in the drawing by the scale drawing

[tex]15/(5/3)=9\ m[/tex]

step 3

Find the area of the park

[tex]A=(12)(9)=108\ m^{2}[/tex]

Answer:

2

Step-by-step explanation:

Because 1 ball + 1 Ball = 2 Ball