Marcus has $15.00 to spend on fruit. He buys 3 mangoes and spends the rest of the money on grapes. The store charges $0.75 for each mango and $2.50 per pound for grapes. Which equation represents the number of pounds of grapes, x, Marcus bought and how many pounds of grapes did he buy?

Answer:

32 days

Step-by-step explanation:

5 divided by 2 is 2.5, which means 2.5 gallons will leak per day. 80 divided by 2.5 is 32 which means it will take 32 days for the bucket to completely leak out.

hope that's right <3

[tex]8^x = 8^3\\\\\implies \ln(8^x) = \ln(8^3)\\\\\implies x \ln(8) = 3 \ln (8)\\\\\implies x = 3\\\\[/tex]

Answer:

The formula of pi is approximately 3.14 2×3.14

After 23 years

hope this is helpful!

Answer:

4.

Step-by-step explanation:

The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. Furthermore, the greatest perfect square on this list is 16 and the square root of 16 is 4.

The greatest factor of 80 is

We have to determine, the greatest possible factor out of the square root of 80.

According to the question

The square root of the greatest perfect square from the list of all factors of 80.

The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.

The greatest perfect square on this list is 16 and the square root of 16 is 4.

To determine the greatest square root of 80 following all the steps given below.

The square root of 80,

[tex]\rm = \sqrt{80} \\\\= \sqrt{2\times 2\times 2 \times 2\times 2\times 5} \\\\= 2 \times 2\times \sqrt{5} \\\\= 4\sqrt{5}[/tex]

Hence, The greatest factor of 80 is 4.

For more details refer to the link given below.

https://brainly.com/question/20354909

Step-by-step explanation:

Well. Let's call α the 120° angle, and β its supplementary angle (80°). Let's draw also the height of the triangle. We'll call it CH. We know, from goniometric relations, that BC * sinβ = CH and BC * cosβ = BH. We just apply the pythagorean theorem so we get: AC = [tex]\sqrt{(AB+BH)^2+CH^2}.[/tex] By inserting all the values you'll get the result.

Answer:

up to 232

Step-by-step explanation:

Let x = number of students

The number of bottles for the students is 2x since they give 2 bottles per student.

2x + 35 = 500

2x = 465

x = 232.5

Answer: 232

Answer:

It should be [tex]3\sqrt{2} i[/tex]

Step-by-step explanation:

Answer:

4.242.....

Step-by-step explanation:

Hope this helped!

Answer:

no. c is the correct answer

Answer:

The ratio is [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

We have

[tex]\frac{800mL}{4.8L} \\\\\frac{0.8L}{4.8L}\\\\\frac{1}{6}[/tex]

Answers:

===========================================================

Work Shown:

Problem 1

u = <-3,4>

2u = 2*<-3,4>

2u = <2(-3), 2(4)>

2u = <-6,8>

Effectively, we multiplied each coordinate by 2.

-----------------

Problem 2

g = <-1,1>

3g = 3*<-1,1>

3g = <3(-1),3(1)>

3g = <-3,3>

Same idea as problem 1, but we tripled each coordinate.

-----------------

Problem 3

z = <-3,-3>

-4z = -4*<-3,-3>

-4z = <-4(-3),-4(-3)>

-4z = <12,12>

-----------------

Problem 4

v = <6,8>

2v = <12,16> .... double both coordinates

u = <-3,4>

3u = <-9,12> .... triple both coordinates

2v-3u = <12,16>-<-9,12>

2v-3u = <12-(-9),16-12>

2v-3u = <12+9,16-12>

2v-3u = <21,4>

I subtracted the corresponding coordinates.

The general rule is <a,b>-<c,d> = <a-c,b-d>

-----------------

Problem 5

y = <1,1>

6y = <6,6> .... multiply each coordinate by 6

v = <6,8>

2v = <12,16>

6y+2v = <6,6>+<12,16> = <6+12,6+16> = <18,22>

This time we add the corresponding coordinates after scaling up the given vectors.

The general rule is <a,b>+<c,d> = <a+c,b+d>

-----------------

Problem 6

u = <-3,4>

v = <6,8>

3v = <18,24>

y = <1,1>

2y = <2,2>

u+3v+2y = <-3,4>+<18,24>+<2,2>

u+3v+2y = <-3+18+2,4+24+2>

u+3v+2y = <17,30>

-----------------

Problem 7

g = <-1,1>

4g = <-4,4>

y = <1,1>

A = 4g+y = <-4,4>+<1,1> = <-4+1,4+1> = <-3,5>

z = <-3,-3>

v = <6,8>

5v = <30,40>

B = z-5v = <-3,-3> - <30,40> = <-3-30,-3-40> = <-33,-43>

A+B = <-3,5>+<-33,-43> = <-36,-38>

-----------------

Problem 8

u = <-3,4>

v = <6,8>

2v = <12,16>

A = u+2v = <-3,4>+<12,16> = <-3+12,4+16> = <9,20>

w = <8,-1>

g = <-1,1>

B = w+g = <8,-1>+<-1,1> = <8+(-1),-1+1> = <7,0>

A+B = <9,20>+<7,0> = <9+7,20+0> = <16,20>

Answer:

The answer is 12 minutes

Step-by-step explanation:

This is because if you're seeing how long it takes to get from 15 inches to 9 inches, that is a difference of 6 inches.

6 / 0.5 inches per minute = 12 minutes

The tank would take time of 12 minutes for the water level to measure 9 inches deep.

A two-step problem is a word problem that must be addressed in two steps. While many of these questions have only one step, a two-step word problem requires the solution of two separate equations.

Two separate operations (like multiplication and addition) or two of the same operation may be utilized in the two-step word problem (like subtraction and subtraction).

Given a tank measurement of 15 inches, it shrinks by 0.5 inches per minute.

We must calculate the minute when the water level reaches 9 inches deep.

The difference in inches is 6 inches.

15 inches - 6 inches = 9 inches

Calculating for minutes,

⇒ 6 / 0.5

⇒ 12 minute

Therefore, the tank would take time of 12 minutes for the water level to measure 9 inches deep.

To learn more about the two-step problem click here :

brainly.com/question/26119747

#SPJ5

Answer: the answer is D

Step-by-step explanation: - 2 *9 + 3* 7 = 3

-5 *9 + 6 * 7 = - 3

And 3>1

-3<1

Answer:

Step-by-step explanation:

[tex]\frac{x}{(x-2)^{2} } -\frac{x}{(x-2)(x-1)} = \frac{x^{2}-x-x^{2} +2x }{(x-2)^{2}(x-1) }[/tex]

? = 2x -x = x

Answer:

18

Step-by-step explanation:

6*6/2

Answer:

[tex]A=4.5[/tex]

Step-by-step explanation:

The area between two curves over the interval [tex][a,b][/tex] is [tex]A=\int\limits^b_a {f(x)-g(x)} \, dx[/tex] where [tex]f(x)[/tex] is the upper function and [tex]g(x)[/tex] is the lower function.

Therefore:

[tex]A=\int\limits^3_0 {3x-x^2} \, dx[/tex]

[tex]A=\frac{3}{2}x^2-\frac{x^3}{3}\Big|_0^3[/tex]

[tex]A=[\frac{3}{2}(3)^2-\frac{(3)^3}{3}]-[\frac{3}{2}(0)^2-\frac{(0)^3}{3}][/tex]

[tex]A=\frac{3}{2}(9)-\frac{27}{3}[/tex]

[tex]A=\frac{27}{2}-\frac{27}{3}[/tex]

[tex]A=\frac{9}{2}[/tex]

[tex]A=4.5[/tex]

So, the area between [tex]f(x)=3x[/tex] and [tex]g(x)=x^2[/tex] on the interval [tex](0,3][/tex] is [tex]4.5[/tex] square units.

Answer:

Option A, - 6

Step-by-step explanation:

The zero of a function is the value on the x-axis when y is 0

Answer:

the answer is -9

Step-by-step explanation:

the answer is -9 becaise

Answer:

the first option i think

Answer:

[tex]y = \frac{3}{4} x-8[/tex]

Step-by-step explanation:

You can us the equation y = m x + c to answer this question.

In ,

y = m x + c

m = slope

c = y - intercept

So, they have already given in the question that,

m = 3/4

c = (-8)

Therefore, you can simply put 3/4 and (-8) instead of m and c respectively like this.

y = m x + c

y = 3/4x - 8

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

9/1

Step-by-step explanation:

For every 9 women, there is 1 man

Answer:

y = 3, m=0, b=3

Step-by-step explanation:

Hi there! If you look at the graph, we have a horizontal like crossing through y=3. your m value will be 0 as there is no slope. For your b value, it will be 3 as the y-intercept is 3.

I hope this helps!

Answer:

Enter a value for a so that the system of equations shown has infinitely many solutions.

y = −5x + 9y =    ax + 9

Step-by-step explanation:

Answer:

for me the answer is y=0.17x+2

not sure

correct me if im wrong

love ya

Step-by-step explanation:

#brainly

There is no answer to this because:

Any digit repeating like that would usually be ?/9

Example: 0.1 repeating = 1/9

                0.2 repeating = 2/9

                0.8 repeating = 8/9

But 0.9 repeating? There should not be a fraction for that.

If you want to round up to 1, you can.

Answer:

she'd have 16 sprinkled donuts

Hope This Helped!

Step-by-step explanation:

First off we need to take the whole equation and multiply it so that we can get rid of the fractioned exponent. The number we would use is 12, giving us the new equation: a + 252 = 300. We then can subtract 252 from both sides of the equation, to get the exponent by itself and intentionally create an answer. This would be: a + 252 = 300,-252=48 or a = 48

We are left with A being equal to 48.

[tex]\dfrac 1{12} \cdot a +21 = 25\\\\\\\implies \dfrac a{12} = 25-21\\\\\\\implies \dfrac a{12} =4 \\\\\\\implies a = (12)(4) = 48[/tex]

Answer:

  (-4, 0)

Step-by-step explanation:

The midpoint M of segment AB is found by averaging the coordinates of the end points:

  M = (A +B)/2

Solving this for point B, we find ...

  2M = A +B

  2M -A = B

Then the other end point is ...

  2(2, -4) -(8, -8) = (4 -8, -8 -(-8)) = (-4, 0)

The other end point is (-4, 0).