The ratio of children to teachers at a preschool is 14:5. How many children are at the preschool if there are 30 teachers?

Answer/Step-by-step explanation:

Area of the dinning room table:

Given that scale of the sketch is 1 in = 2½ ft

Length of the dinning room table on the sketch = 2 in

Actual length of dinning room table = 2 × 2½ = 5 ft

Width of the dinning room table on the sketch = 1 in

Actual width of dinning room table = 1 × 2½ = 2.5 ft

Area of dinning room table = length × width = 5 × 2.5 = 12.5 ft²

Area of the dinning room:

Given that scale of the sketch is 1 in = 2½ ft

Length of the dinning room on the sketch = 7⅕ in

Actual length of dinning room = 7⅕ × 2½ = 18 ft

Width of the dinning room on the sketch = 4⅘ in

Actual width of dinning room = 4⅘ × 2½ = 12 ft

Area of dinning room = length × width = 18 × 12 = 216 ft²

Area of the dinning room not covered by the table = area of the dinning room - area of the dinning room table

= 216 - 12.5 = 203.5 ft²

Answer:

C

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

A 40% discount means that 40% will be off, meaning you won't have to pay 40% of the original price. Therefore, you only pay 60% of the original price (100% - 40% = 60%).

x + 1

Combine like terms, so terms with x go together and terms without an x go together

So 2x - x = x

3 - 2 = 1

That's as simplified as it can be

Brainiest please

Answer: 16

Step-by-step explanation: You started with 15 , you lose 7 Monday which leaves you with 8 , 2 on Tuesday which leaves you with 6 , 5 on Thursday which leaves you with 1 and then you received 15 on Friday which brings you to 16

The number of mattresses available now is 16.

Given that, On Monday, the delivery truck delivers 15 new mattresses. Number of mattresses sold on Monday=7, number of mattresses sold on Tuesday=2, number of mattresses sold on Wednesday=0, and number of mattresses sold on Thursday=5.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity.

Let number of mattresses do you now have available be x.

Given that, receive a new order Friday morning of 15 mattresses.

So, x=15-(7+2+0+5)+15

=30-14=16

Therefore, the number of mattresses available now is 16.

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Answer:

2x - 3 > 55

Step-by-step explanation:

the answer is above

Answer:  0.8956

Step-by-step explanation:

Given: The daily surface concentration of carbonyl sulfide on the Indian Ocean is normally distributed, with a mean [tex]\mu=100[/tex] picomoles per liter and standard deviation of [tex]\sigma=3.5[/tex] picomoles per liter.

Let X be the daily surface concentration of carbonyl sulfide.

The probability that on a randomly selected day, the surface concentration of carbonyl sulfide on the Indian Ocean is less than 13.5 picomoles per liter [tex]= P(X<13.5)[/tex]

[tex]=P(\dfrac{X-\mu}{\sigma}>\dfrac{13.5-9.1}{3.5})\\\\=P(Z<1.257)\\\\= 0.8956\ \ \ [\text{By p-value table}][/tex]

Hence, the required probability =  0.8956

Answer:

$154

Step-by-step explanation:

Find the rate per hour as;

if  11 hours =$242

     1 hour =?

Perform cross product as:

{$242 *1} / 11 = $22

For 7 hours the amount made will be:

7* $22 = $154

Answer:

0.000000093

Step-by-step explanation:

Theres seven zeros after the decimal

lol no use meeting. But zoom is good too.

Answer:

Not sure what you are asking here but the answer is $59.95

Step-by-step explanation:

$49.95 + (10 * 0.05)

Answer:

x=33.9°

Step-by-step explanation:

Trigonometric Ratios

In a right triangle, i.e. the triangles that have an internal angle of 90°, the so-called trigonometric ratios are valid.

There are six trigonometric ratios that can be used in right triangles, depending on the data available for each problem.

The current question gives us two sides in a right triangle and requires us to calculate the angle x.

The angle x 'looks' at the sides of the triangle in this way: RS=70 is the adjacent leg, SQ=47 is the opposite leg, and RQ is the hypotenuse.

We should use the trigonometric ratio that relates both the adjacent and the opposite led. There are two possibilities: The tangent and the cotangent. We'll use the tangent for no particular reason.

The tangent of an angle is defined as:

[tex]\displaystyle \tan\x=\frac{\text{opposite leg}}{\text{adjacent leg}}\\[/tex]

Use the given values:

[tex]\displaystyle \tan x=\frac{47}{70}=0.6714[/tex]

Using a calculator (in degree mode), we calculate the angle:

[tex]x=\tan^{-1}(0.6714)=33.9^\circ[/tex]

x=33.9°

= 5x - 25 = -10

= 5x = -10 + 25 ( transposing-25 from LHS to RHS changes -25 to +25 )

= 5x = 15

= x = 15 ÷ 5 ( transposing ×5 from LHS to RHS changes ×5 to ÷5 l

= x = 3

Let us check whether or not we have found out the correct value by keeping 3 in the place of x :

= 5 × 3 - 25 = -10

= 15 - 25 = -10

= -10 = -10

LHS = RHS

We have found out the correct value of x .

Therefore x = 3 .

Answer:

1

Step-by-step explanation:

add 3 to 4

(1x7)= 7

Answer:

Use (3.75×100/1) and then add 40.

Step-by-step explanation:

I hope you pass. Can you mark me the Brainliest?

Answer:

2 grams

Step-by-step explanation:

2 grams of gold is equivalent to 2 grams

Answer:

21

Step-by-step explanation:

(21 plus 4)=25

25 minus 7=18

~~~How I got 21~~~

I find the number that will be reasonable like 20 and work my way up

~~~Hope this helps~~~

Answer:

[tex](n+4)-7=18 \\ n = 18 + 7 - 4 \\ n = 21.[/tex]

Answer: (x+1)^2=10

Step-by-step explanation:

Answer:

Things which are equal to the same thing are also equal to one another. If equals be added to equals, the wholes are equal. If equals be subtracted from equals, the remainders are equal. Things which coincide with one another are equal to one another.

Answer:

22 units is the correct answer

l

The distance between (1, -4) and (1, 18) is 22 .The correct option is 4

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

 [tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

Substituting the values of the coordinates in the distance formula;

 D = [tex]\sqrt{(1-1)^{2}+(18+4)^{2} }[/tex]

     =[tex]\sqrt{(0)^{2} + (22)^{2} }[/tex]

     = [tex]\sqrt[n]{484}[/tex]

      = 22

So, 22 units is the right answer.

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Answer:

D) 2

Step-by-step explanation:

1/15×120/4

1/15×30

1×2

2

Answer:

Area = 200 + 50 + x

Step-by-step explanation:

Given

Length = 20

Width = 30

Side Walk = x

Required

Determine the area.

To do this we need to get the new worth and length by adding the length of the sidewalk.

This gives:

Length = 20 + x.

Width = 30 + x

So, area becomes.

Area = (20 + x)(30 + x)

Area = 600 + 20x + 30x + x²

Area = 200 + 50 + x²

Answer:

x=3, y=7

x=-2, y=2

Step-by-step explanation:

System of Equations

We have the following equations:

[tex]y=-x^2+2x+10[/tex]

[tex]y=x+4[/tex]

We'll solve it by substitution. Since the second equation is already solved for y, we use that expression and substitute into the first equation:

[tex]x+4=-x^2+2x+10[/tex]

Since this is a quadratic equation, it's convenient to have all terms to one side:

[tex]x+4+x^2-2x-10=0[/tex]

Simplifying and reordering:

[tex]x^2-x-6=0[/tex]

Factoring:

[tex](x-3)(x+2)=0[/tex]

Solving:

x=3, x=-2

Those yield to two solutions for y:

y=x+4

y=7, y=2

The solutions of the system are:

x=3, y=7

x=-2, y=2

Answer:

x-5

Step-by-step explanation:

since we don't know bob's age, x will represent it. we know that heather is 5 years YOUNGER than bob.

x (bob's age) - 5 (because that's how many years heather is younger than bob is)

hope this helps :D

Answer: -3 1/2 - 1/5

Step-by-step explanation:

6x-2x+11=-5. 6x-2x=-5-11. 4x=16 4x/4=16/4. x=4

Answer:

the answer to this would be this 20 ft

Step-by-step explanation:

you would this by taking 4 times 2.5 times 2 and you would get the answer of 20 ft for the volume.