105s+75h= 1,740,000
S+h=20,000

Answer:

1. 5x + 8

2. 11x + 10

Step-by-step explanation:

1. 2x + 1 + 3x + 7

Combine like terms:

2x + 3x + 1 + 7

Add coefficients

5x + 8

2. 5x + 2(3x + 5)

Distribute the 2 by multiplying by each term inside the parentheses:

5x + 6x + 10

Combine like terms by adding coefficients

11x + 10

Answer:

Step-by-step explanation:

∠RSQ = 180°-90°-34° = 56°

∠PSQ = 180°-∠RSQ = 124°

∠RPQ = (180°-∠PSQ)/2 = 28°

Answer:

7x + 8 = 12 - 3x

Step-by-step explanation:

Answer:

10x=4 5x=2 x=2/5

Step-by-step explanation:

it's just basic algebra stuff

Complete question :

Last year there were 221 students and 13 teachers at Hillard School. This year there are 272 students. The principal wants to keep the same student-to-teacher ratio as last year. Which proportion can the principal use to find x, the number of teachers needed this year?

Answer:

221 / 13 = 272 / x

Step-by-step explanation:

Given that :

Last year:

Number of students = 221

Number of teachers = 13

Last year:

Number of students = 272

Number of teachers = x

To keep the same student to teacher ratio :

We equate the ratio for both years :

221 / 13 = 272 / x

221x = 272 * 13

221x = 3536

x = 3536 / 221

x = 16

Answer:

w = -10/4 or -2.5

Step-by-step explanation:

4(w + 1) = -6

4w + 4 = -6

4w = -10

w = -10/4 or -2.5

Answer:

W = 1/2 or 0.5

Step-by-step explanation:

Distribute

4w + 4 = 6

-4. -4

4w/4 = 2/4

W = 1/2

Answer:

I believe that the answer is D: 7

Answer:

7/12

Step-by-step explanation:

3/4 - 4/3 = 7/12 or 0.583

Answer: y=5x+4

Step-by-step explanation:

Remember this

Slope-Intercept form: y=mx+b

m is the slope (5)

b is the y-intercept (4)

So your equation is

y=5x+4

Answer:

y = 5x + 4  

Step-by-step explanation:

y - 4 = 5(x - 0)

That is point-slope form. I'm not sure if you want it in slope-intercept form, but the slope-intercept form of the equation is -

y = 5x + 4

Answer:

Its 62

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

ll

Answer:

he used 4 1/6 cup of flour for each loaf I think

Step-by-step explanation:

Answer:

Are they going to build the fence on the edge of the pool?  How are they going to get into the pool?  This question is illogical, however....

Step-by-step explanation:

A square pool is also wierd.

Volume Pool = side × side × depth

Volume Pool / depth = side²                 solve for side

side² = Volume Pool / depth

the fence is 3.5 feet tall

Fencing sqft one side = side × fence height  for ONE side

Total Fencing = 4 × Fencing sqft one side

side² = 3464 ft³ / 8 ft

        = 422 ft²

side  =  √422 ft²

       =  20.54 ft

Fencing area one side  = 20.54 × 3.5

      = 71.899 ft²

Total fencing = 4× 71.899 ft²

     = 287.6 ft²      to the nearest tenth     <--------------------   FINAL ANSWER

Answer:

x = -4

Step-by-step explanation:

hope this helps you

Answer:

Multiply first and add the negative sign and multiply all of it 2 times

Step-by-step explanation:

Answer:

4x +36

Step-by-step explanation:

= (2x - 6) * (2x - 6)

= 4x -12x -12x +36

= 4x +36

Answer:

y=3

Step-by-step explanation:

Answer:

1: the wooden part is 3.725 kilograms.

2: 10 Children

Answer:

1 3.725 kg of wood

2 10

Step-by-step explanation:

For question 1 you multiply the total weight by 3/4 to find the weight of the metal, you then subtract this from the total to find the weight of the wood

For question 2 you look at it as a fraction 1/3 kids + 2/3 adults equal 30, since there are twice as many adults. Then you multiply 30 by 1/3 and get 10

Answer: 3.53

Step-by-step explanation:

The cost for the table pads that Mrs. Smith will have to pay for her circular dining room table is $3.5325 approx

If the considered circle has got is radius of 'r' units. Then, its area is calculated as:

[tex]A = \pi r^2 \: \rm unit^2[/tex]

where [tex]\pi = 3.14159...[/tex]

For this case, we are provided that:

Diameter of the circular dining table of Mrs. Smith = 3 feet

Thus, as radius is half of diameter, thus, radius of table = 3/2 = 1.5 feet

We find the area of the table since the area of the table pad that will be used for table will be equal to the area of the table because it will be applied all over the table.

The area of the table pad = area of the table = [tex]\pi (1.5)^2 \approx 3.14 \times (1.5)^2 = 7.065 \: \rm ft^2[/tex]

For each sq. foot, Mrs. Smith had to pay 50 cents = 0.5 dollars

Thus, for 7.065 sq. feet, the cost would be:

[tex]0.5 \times 7.065 = 3.5325[/tex] (in dollars)

Thus, the cost for the table pads that Mrs. Smith will have to pay for her circular dining room table is $3.5325 approx

Learn more about area of circle:

https://brainly.com/question/13004063

Answer:

lim_( 3\/(-5 + x) = 0

Step-by-step explanation:

h(x) = 1\/(x - 5)×3

{x element R : x!=5}

{h element R : h!=0}

d\/dx(3\/(x - 5)) = -3\/(x - 5)^2

integral 3\/(x - 5) dx = 3 log(x - 5) +

Answer:

Mrs. Sayers utilized 24 sq. ft material to build her fence

Step-by-step explanation:

length x width x height = volume

4 x 2 x 3 = 8 x 3 = 24

Answer:

7.28

Step-by-step explanation:

1.82*4= 4+3.20+.08= 7.28

Answer:

$7.28

Step-by-step explanation:

7 pencils:$1.82

28 pencils:$x

28/7=4 so multiply 1.82 by 4

$7.28

Answer:

Answer C, Arthur will pay about $918 less in interest if he chooses the 3-year loan.

Step-by-step explanation:

(370.53 x 12) x 3 = 13,339.08

(237.61 x 12) x 5 = 14,256.60

14,256.60 - 13,339.08 = 917.58 (then round up)

Answer:

y=-2/3x-3 is the equation in slope intercept form

Step-by-step explanation:

Hope this helps (:

Answer:

Perimeter of one triangle is 65 dm

Perimeter of other triangle is 52 dm

Step-by-step explanation:

Please remember the concept

If sides are in the ratio of a:b

Then the area in the ratio of [tex]a^{2} :b^{2}[/tex]

It is given sum of their perimeter is 117.

Let the small triangle has perimeter as x.

So, perimeter of big triangle is 117-x.

So, we can set up equation as

[tex]\frac{50}{32} =\frac{x^{2} }{(117-x)^{2} }[/tex]

Cross multiply

50(117-x)^2 =32x^2

Expand the left side

50[tex](13689 -234x+x^{2} )[/tex]=[tex]32x^{2}[/tex]

Distribute the left side

684450-11700x+[tex]50x^{2}[/tex]=[tex]32x^{2}[/tex]

Subtract both sides [tex]32x^{2}[/tex] and rewrite it [tex]18x^{2} -11700x+684450=0[/tex]

Solve this quadratic for x.

Divide both sides of the equation by 18 to simplify.

[tex]x^{2}[/tex]-650 x+38025=0

Now, if possible let's factor

Find two integers whose multiplication is 38025 but adds to -650.

-65 and -585 works.

So, we can rewrite it as

(x -65)(x-585) =0

Solve them using zero product property

x=65, x=585

So, x=65 works here.

So, perimeter of one triangle is 65 dm

Perimeter of other triangle is 117-65= 52 dm

Answer: the first because he didn’t distribute the 2/3 with all the things in the parentheses

Step-by-step explanation: it’s supposed to be -4/3 + 2/3x the first step

Answer:

open circle means less than OR greater to

closed circle means less than or equal to OR greater than or equal to

Answer: C is approximately 9.42.

Step-by-step explanation: the radius is 1.5 and the C formula is 2 x pi x r = 2 (3.14)(1.5)