A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute. A fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute. A fire hydrant with a purple cap provides water at half the rate of a fire hydrant with a green cap..Which equation relates the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.

Answer: x = 3.5y

Step-by-step explanation:

3.5 teaspoons of sugar (y) per tart (x) would look like this

You multiply 3.5 by y to equal x divided by 3.5

x = 3.5y

Answer:

-3x-7

Step-by-step explanation:

Answer:

-3x - 7

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Let's first convert both Brooke's time and Lamont's time into the same unit so that we can more easily compare them. To make it simpler, we'll convert both times into minutes.

Brooke: 1 hr 45 min

We know that there are 60 minutes in 1 hour, so we essentially have:

60 min and 45 min  ⇒  60 + 45 = 105 min

Lamont: 115 min

This is already in minutes, so we don't have to do anything to it.

We now have 105 minutes for Brooke and 115 minutes for Lamont. Let's compare:

- Since we know Brooke took 105 minutes, we can eliminate A and B.

- Clearly, 105 < 115, which means Brooke took less time that Lamont to finish the race

- If Brooke took less time, that means she's faster.

Thus, the answer is C.

~ an aesthetics lover

Answer:

Time taken by Brooke = 1h 45min

= 60min + 45min

= 105min

Time taken by Lamont = 115min

Brooke finished in 105min, so she was faster.

Option 3 is correct.

Answer:

y=-3.5x+9

Step-by-step explanation:

the slope is determined by the y1-y2/x2-x1 which is equaled to -5-2/4-2 which is equaled to -7/2 which is -3 1/2 which is your m value in y=mx+b and you graph to get your b value (y-intercept) which is 9

Answer:

(A)6

Step-by-step explanation:

Given the quadratic expression: [tex]a^2+8a+12[/tex]

We factorize:

[tex]a^2+8a+12=a^2+6a+2a+12\\=a(a+6)+2(a+6)\\=(a+2)(a+6)[/tex]

Therefore, the missing number that will complete the factorization is 6.

Factorizing a² + 8a + 12 into (a + 2)(a + 6), the missing number to complete the factorization is: 6.

Factorization can be defined as a process of resolving a product into factors.

Thus:

a² + 8a + 12

a² + 6a + 2a + 12

(a² + 6a) + (2a + 12)

a(a + 6) +2(a + 6)

(a + 2)(a + 6)

Therefore, factorizing a² + 8a + 12 into (a + 2)(a + 6), the missing number to complete the factorization is: 6.

Learn more about factorization on:

https://brainly.com/question/25829061

Answer:

let x be the number of boys

given, the number of girls are 73 more than the number of boys, meaning number of girls is x + 73

also given is that x + x + 73 = 351

2x + 73 = 351

2x = 351 - 73

2x = 278

x= 139

There are 139 boys

There will be 139 + 73 = 212 girls

139 + 212 = 351 which is the total number of students

let x be the number of boys.

Given, that the number of girls is 73 more than the number of boys, meaning the number of girls is x + 73

also given is that

x + x + 73 = 351

2x + 73 = 351

2x = 351 - 73

2x = 278

x= 139

There are 139 boys

There will be 139 + 73 = 212 girls

139 + 212 = 351 which is the total number of students.

To graduate means to successfully complete your schooling, to become "a graduate." When you graduate from high school, you become a high school graduate and congratulations are in order. A graduate is someone who has received a degree from a school.

Learn more about graduating high school here: https://brainly.com/question/14862649

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Answer:

6a^5

Step-by-step explanation:

3a^2*2a^3

3×2+a^2×a^3

6a^5

Answer:

The answer is 6a⁵.

Step-by-step explanation:

You have to use Indices Law,

[tex] {a}^{m} \times {a}^{n} \: ⇒ \: {a}^{m + n} [/tex]

So for this question :

[tex]3 {a}^{2} \times 2 {a}^{3} [/tex]

[tex] = (3 \times 2) \times ( {a}^{2 + 3}) [/tex]

[tex] = 6 \times {a}^{5} [/tex]

[tex] = 6 {a}^{5} [/tex]

Answer: [tex]- \frac{62}{5}[/tex]

Convert the decimal number into a fraction

Multiply by 10

[tex](- \frac{12.40}{1} ) (\frac{10}{10})[/tex]

[tex]- \frac{124}{10}[/tex]

Divide the fraction by 2

[tex]- \frac{62}{5}[/tex]

Answer:

slope = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (2, 4)

m = [tex]\frac{4-3}{2+2}[/tex] = [tex]\frac{1}{4}[/tex]

Answer:

5^1

Step-by-step explanation:

5^6/5^5

5^(6-5)

5^1

Answer:

5

Step-by-step explanation:

5^6=15625

5^5=3125

15,625/3,125=5

Hope this helps!

Answer:

Surface Area: 200.48 yd^2

Volume: 141.2 yd^3

Step-by-step explanation:

Rectangular Prism x1 = 148.48 yd^2

Let's start off by splitting this figure into three shapes, one rectangular prism and two triangular prisms. Find the surface area of the rectangular prism by finding the area of each side of it, (8 yd * 2.8 yd) for only the bottom, (8 yd * 4.8 yd) x 2 for the front and back, and (2.8 yd * 4.8) x 2 for the left and right side. You will get 44.8, 76.8 and 26.88 for a total of 148.48 yd^2.

Triangular Prism x2 = 52 yd^2

Find the area of one of the front triangles using the given 3 yd with a length of 4 yd given that one triangle takes up half the length of 8 yd horizontally. Use the triangle formula (length x width)/2 and substitute in values 3 and 4 above to get an area of 6 yd^2. Times that amount of yards by 4 since we have 3 remaining sides that are the same to get 24 yd^2, remember this for later. Almost there as we also have two rectangles on the triangular prisms: both with width of 5 yd and length of 2.8 yd, find area using l*w to get 14 yd^2. Add two of them to get 28 yd^2 for each rectangle. Add 24 yd^2 with 28 yd^2 to get a surface area of 52 yd^2 for BOTH the triangular prisms.

Finally add the surface area of the three figures to get a total surface area of 200.48 yd^2.

Now we move on to volume, which is actually more simple.

Formula of Rectangular Prisms = length x width x height

Formula of Triangular Prisms = (length x width x height) / 2

Volume of Rectangular Prism = (8 yd * 2.8 yd * 4.8 yd) = 107.52 yd^3

Volume of Two Triangular Prisms = (4 yd * 3 yd * 2.8 yd) / 2 = 16.8 yd^3 x 2

Finally add the volumes together to get your final volume.

107.52 + 16.8 + 16.8 = 141.2 yd^3

Sorry if this is long xd

Answer:

4(x-3)(x-2)

Step-by-step explanation:

4x^2-20x+24

4(x-3)(x-2)

Answer:

7 kg and 35kg

Step-by-step explanation:

hope it helps

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

Answer:

5400$

Step-by-step explanation:

First, you need to figure out 8% of 500$.

That is 40$.

Now, you need to multiply 500 by 10, because there are 10 years.

That is 5000$

Now, we need to add the 8% that was added each year. So we do 40$ times 10.  400$

Then we add the 5000 and 400.

The answer is 5400$

I really hope this helped you! So sorry if it doesn't!

Answer:

option c

Step-by-step explanation:

Answer:

The Answer is 15

Step-by-step explanation:

the answer is 15 because that is what i got after i did all the work and i got it correct.

As indicated on the number line 1/3 is the same as 2/6 so we get

Answer: 2/6 + 5/6 = 7/6

Answer:

Midpoint of the line segment = ( 0.5 ,-3.5) =

Step-by-step explanation:

Given the co-ordinates of two points are

(-2 , -5) and ( 3, -2)

Let    (x₁ , y₁) = ( -2 , -5)

        (x₂ , y₂) = ( 3 , -2 )

Midpoint of the line segment

                          =       [tex](\frac{x_{1} +y_{1} }{2}, \frac{x_{2}+ y_{2} }{2} )[/tex]

Midpoint of the line segment

                          =       [tex](\frac{-2 +3 }{2}, \frac{-5- 2 }{2} )[/tex]

Midpoint of the line segment = ( 0.5 ,-3.5)

Answer:

B

Step-by-step explanation:

Rent paid by Julie = (1/3) of 3000

                             [tex]=\frac{1}{3}*3000\\\\=1*1000[/tex]

                             = £ 1000

Remaining amount after paying rent = 3000 - 1000 = £ 2000

Expenses : Savings = 7 : 3

Total part  = 7 + 3 = 10

Saving part = 3/10

Amount saved = (3/10) of 2000

                        [tex]=\frac{3}{10}*2000\\\\=3*200[/tex]

                        = £ 600

Answer:

B

Step-by-step explanation:

one third of £3000 = £3000 ÷ 3 = £1000

£3000 - £1000 = £2000 ← amount left after paying rent

Add the parts of the ratio, 7 + 3 = 10 parts

Divide the amount left by 10 to find the value of one part of the ratio

£2000 ÷ 10 = £200 ← value of 1 part of the ratio, thus

3 × £200 = £600

Julie saves £600 each month

Answer:

To find this out, you simply multiply 6x5 which is 30

Answer:

Step-by-step explanation:

Let the first three terms be a/r, a, ar... where a is the first term and r is the common ratio of the geometric sequence.

If the sum of the first two term is 24, then a/r + a = 24...(1)

and the sum of the first three terms is 26.. then a/r+a+ar = 26...(2)

Substtituting equation 1 into 2 we have;

24+ar = 26

ar = 2

a = 2/r ...(3)

Substituting a = 2/r into equation 1 will give;

(2/r))/r+2/r = 24

2/r²+2/r = 24

(2+2r)/r² = 24

2+2r = 24r²

1+r = 12r²

12r²-r-1 = 0

12r²-4r+3r -1 = 0

4r(3r-1)+1(3r-1) = 0

(4r+1)(3r-1) = 0

r = -1/4 0r 1/3

Since a= 2/r then a = 2/(-1/4)or  a = 2/(1/3)

a = -8 or 6

All the geometric sequence can be found by simply knowing the formula for heir nth term. nth term of  a geometric sequence is expressed as

if r = -1/4 and a = -8

Tn = -8(-1/4)^(n-1)

if r = 1/3 and a = 6

Tn = 6(1/3)^(n-1)

The nth term of the sequence above can be used to find all the geometric sequence where n is the number of terms

Answer:

A = 57,600 feet

Step-by-step explanation:

Area = length x width

A = 360 x 160

Step-by-step explanation:

we have,

Circumference of Circle (C) = 2πr

or, 125.6 = 2πr

or, r = 125.6/2π

Ans: r = 19.9898 ~ 20 m

Answer:

       -7 ± √6

x = ----------------

              2

Step-by-step explanation:

You have several options here.  One would be "completing the square," and another would be "quadratic formula."

Here the coefficients of this quadratic are a = 1, b = 7 and c = 2.

The discriminant is therefore b^2 - 4(a)(c), or 7^2 - 4(1)(2) = 6.

The roots are thus:

       -7 ± √6

x = ----------------

              2

Answer:d

Step-by-step explanation on ed

Answer: [tex]726 cm^{2}[/tex]

Step-by-step explanation:

surface area(SA)= [tex]6s^{2}[/tex]

= [tex]6*(11)^{2}[/tex]

= [tex]6*121[/tex]

= [tex]726 cm^{2}[/tex]

s= the length of the side of the cube