For 2 + 5(x-3) > 3x + 11, the answer is x>

Answer:

No. of students enrolled in Health = 63

No. of students enrolled in P.E. = 181

Step-by-step explanation:

Given,

Total students in grade seven = 244 students

A.T.Q.

Let the number of students enrolled in Health be x

so, The number of students enrolled in P.E. = 3x - 8

As we know,

x + (3x - 8) = 244

4x = 244 + 8

x = 252/4

x = 63

Thus, the number of students enrolled in Health = 63

The number of students enrolled in P.E. = 3x - 8

= 3 * 63 - 8

= 189 - 8

= 181 students

Answer:

sin(θ)=4√41/41

cos(θ)=5√41/41

tan(θ)=4/5

cot(θ)=5/4

sec(θ)=√41/5

csc(θ)=√41/4

Step-by-step explanation:

Answer:

it's the 2nd one

Step-by-step explanation:

hoped I helped:)

Answer:

NL = 4.33

NM = 5

Step-by-step explanation:

tan 60° = NL/2.5

tan 60° = 1.7321

so:

1.7321 = NL/2.5

NL = (2.5)(1.7321)

NL = 4.33

cos 60° = 2.5/NM

cos 60° = 0.5

so:

0.5 = 2.5.NM

NM = 2.5/0.5

NM = 5

Answer:

the slope is 3

the y intercept is (0,-7)

Step-by-step explanation:

3x-y=7 solve for y

add y to both sides

3x=7+y

subtract 7 from both sides

y=3x-7

y=mx+b

m=slope

b=y-intercept

3=slope

-7=y-intercept

Hope that helps :)

Answer:

I believe the answer is y=4x+4

Step-by-step explanation:

because the 4 that is on the  Y axis is the Y axis

and the 4 on the x axis will be the one with the variable

Hopefully this helps.

Answer:

first is no second is yes third is no fourth is yes

Step-by-step explanation:

I'm not sure btw

Answer:

72 hours

Step-by-step explanation:

Answer: 34 hours

Step-by-step explanation: 68 divided by 34 is 2 and thats the rate the temperature is dropping.

Answer:

-21 Feet

Step-by-step explanation:

-336/16

The balloon's elevation during the second minute will be 21 feet.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A sight-seeing balloon pilot starts to land her inflatable. In the main moment the inflatable rise - 336 feet. In the subsequent moment, the inflatable's height changes by 1/16 of that sum.

Then the balloon's elevation during the second minute is given as,

⇒ - 336 x (1/16)

⇒ - 336 / 16

⇒ - 21 feet

The balloon's elevation during the second minute will be 21 feet.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

My brain...

Step-by-step explanation:

Answer:

i believe its A on plato

Step-by-step explanation:

Answer:

3.75

Step-by-step explanation:

25% = 0.25

3(0.25) = 0.75

3 + 0.75 = 3.75

12+85% is $22.20

80%x12=9.6

5%x12=0.6

9.6+0.6=10.2

12+10.2=22.20

 Answer: $22.20  

Answer:

6283 in³

Step-by-step explanation:

The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.

Since the cardboard box is in the shape of a cube, its volume V = L³

So, L = ∛V

Since V = 12000 in³,

L = ∛(12000 in³)

L= 22.89 in

So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2

So, V = 4π(L/2)³/3

= 4πL³/8 × 3

= πL³/2 × 3

= πL³/6

= πV/6

= π12000/6

= 2000π

= 6283.19 in³

≅ 6283.2 in³

= 6283 in³ to the nearest whole cubic inch

Answer:

16.76 inch³

Step-by-step explanation:

volume of cone is 1/3 πr²h

h=4

r=2

then 1/3* 22/7* 2*2 *4

=352/21

=16.76

Answer:

(x1, y1) = (1, 3)

(x2, y2) = (4, 12)

Step-by-step explanation:

y= x^2 - 4

y= 5x - 8

(substitute the value for y)

x^2 - 4 = 5x - 8

(solve the equation)

x = 1

x = 4

(substitute the values)

y = 5 × 1 - 8

y = 5 × 4 - 8

(solve the equations)

y = -3

y = 12

( the possible solutions are)

x1, y1 = 1, -3

x2, y2 = 4, 12

(check the solutions)

-3 = 1^2 - 4

-3 = 5 × 1 - 8

12 = 4^2 - 4

12 = 5 × 4 - 8

(simplify)

-3 = -3

-3 = -3

12 = 12

12 = 12

(the ordered pairs are the solutions)

Answer:

1. 15

2. 16

3. 46

4. 59

Step-by-step explanation:

1. 44+30=74, 89-74=15

2. 90-74=16

3. 180-134=46

4. angles like that are the same

Answer:

1. x=5

2. x=16

3.x=46

4.x=59

Step-by-step explanation:

1. It says that the angle in total is 89 degrees (faded). then it shows the degrees 44 and 30. add them together to get 74 degrees. next subtract 89 by 74 to get the answer 5.

2. it shows a box at the corner of the angle (box means its a perfect 90 degree angle) so you need to subtract 90 by 74 to get the answer 16.

3. the whole entire angle is 180. so you need to subtract 134 from 180 to get the answer 46.

4. look focus on the one line that shows 59 degrees and right above it there is a blank. that arrow line represents 180 degrees. subtract 180 by 59 to get 121. next focus on the second line (the one that faces downward to the right) you then subtract 180 by 121 to get 59.

1.  44+30=74      89-74=5                 x=5

2.  box=90      90-74=16                   x=16

3. 180-134=46                                   x=46

4. 180-59=121    180-121=59             x=59

Answer:

80 fl oz

2qts = 8 cups

Answer:

[tex]Area = 1560ft^2[/tex]

Step-by-step explanation:

Given

See attachment for playground

Required

Determine the area

The playground is a trapezoid. So;

[tex]Area = \frac{1}{2}(Sum\ parallel\ sides) * Height[/tex]

From the attachment, the parallel sides are: 68ft and 36ft

The height is: 30ft

So, the area is:

[tex]Area = \frac{1}{2}(68ft + 36ft) * 30ft[/tex]

[tex]Area = \frac{1}{2}(104ft) * 30ft[/tex]

[tex]Area = 52ft * 30ft[/tex]

[tex]Area = 1560ft^2[/tex]

Answer:

exponential

Step-by-step explanation:

since the rate of our population growth is relative to the amount of people already on our planet, the numbers will grow exponentially

Answer: exponential

Step-by-step explanation: exponential function don’t grow at a constant rate, like the world population

Answer:

Step-by-step explanation:

The work done by an object can be found by using the formula

workdone = force × distance

From the question we have

workdone = 4.5 × 5

We have the final answer as

Hope this helps you

Answer:

It's the one right under the first one

Answer:

The system of this equation is ( -1, 10) which is Option A.

Step-by-step explanation:

Solve for y in the first equation.

[tex]y = - 5x + 5 \\ - 2y = - x - 21[/tex]

Replace all occurrences of yy with -5x+5 in each equation.

[tex]10x - 10 = - x - 21 \\ y = - 5x + 5[/tex]

Solve for x in the first equation.

[tex]x = - 1 \\ y = - 5x + 5[/tex]

Replace all occurrences of x with -1 in each equation.

[tex]y = 10 \\ x = - 1[/tex]

The solution to the system is the complete set of ordered pairs that are valid solutions.

(−1, 10)

Hence, the system of this equation is (-1, 10).

Option A.

Answer:

Marcy paid $4.15

Step-by-step explanation:

Given

Represent hotdogs with x and chips with y.

So, we have:

Jamal

[tex]3x + 2y = 4.85[/tex]

Kenny

[tex]5x + 6y = 9.55[/tex]

See attachment for complete question

Required

Determine the amount for 2x and 3y

From Jamal's and Kenny's orders we have:

[tex]3x + 2y = 4.85[/tex] --- (1)

[tex]5x + 6y = 9.55[/tex] --- (2)

Multiply (1) by 3

[tex]3 * [3x + 2y = 4.85][/tex]

[tex]9x + 6y = 14.55[/tex] --- (3)

Subtract (2) and (3)

[tex]9x - 5x + 6y - 6y = 14.55 - 9.55[/tex]

[tex]9x - 5x = 5[/tex]

[tex]4x = 5[/tex]

Solve for x

[tex]x = \frac{5}{4}[/tex]

[tex]x = 1.25[/tex]

Substitute [tex]x = 1.25[/tex] in [tex]3x + 2y = 4.85[/tex]

[tex]3 * 1.25 + 2y = 4.85[/tex]

[tex]3.75 + 2y = 4.85[/tex]

Solve for y

[tex]y = \frac{4.85 - 3.75}{2}[/tex]

[tex]y = \frac{1.10}{2}[/tex]

[tex]y = 0.55[/tex]

So, the cost of 2x and 3y is:

[tex]Cost = 2x + 3y[/tex]

[tex]Cost = 2*1.25 + 3*0.55[/tex]

[tex]Cost = \$4.15[/tex]

Answer:

Fraction = 120/100 | Decimal = 1.2

Step-by-step explanation:

Fraction:

100% is 100/100 but 120% is 20% over so the fraction is now 120/100 (20% = 20/100)

Decimal:

100% is 1 but as I said earlier, 120% is 20% over so the decimal is now 1.2 (20% = 0.2)

Answer:

I think they charge a flat rate of $8 for a vehicle and $3 per person on top of that.

Step-by-step explanation:

There could be a multitude of rules, but let's try to find a simple one.

I would start by assuming that the park charges a fee for a vehicle and then for each person. Let's name those:

a - flat fee for a vehicle

b - fee per person

then a car with x people in it would be charged

a + bx

Let's see if the fees fit this assumption:

for x = 2

a + b*2 = $14

for x = 4

a + b*4 = $20

for x = 8

a + b*8 = $32

If so, we can subtract the second equation from the first and get

a + b*4 - a - b*2 = $20 - $14

b*2 = $6

b = 3$

a + b*2 = $14

a + $3*2 = a + $6 = $14

a = $8

so the first 2 equations gave us a = $8 and b = $3.

Let's see if these values fit the 3rd equation

a + b*8 = $32

$8 + $3*8 = $32

$8 + $24 = $32

$32 = $32

It fits!

That tells us that the rule is indeed very likely.

Answer:

yes

Step-by-step explanation:

they both equal 5x=1 where x = 1/5

The answer should be 10