Where is the blue dot on the number line?

Answer: 7.5 days or 7 days (round down)

Step-by-step explanation:

STEP ONE: Find the total number of food in 5 days

150 students

5 days

150 × 5 = 750 unit of foods

In another word, there is enough food for 750 students in one day.

STEP TWO: Find the days this amount of food would last for 100 students

750 unit of food

100 students

750 ÷ 100 = 7.5 days

7.5 (round down) = 7 days

**Disclaimer** Rounding down to 7 days means that these food are enough for all 100 students for a whole day. If keeping 7.5 days, this would mean either the students would not be full, or there would only be half of the student body could get food. From my knowledge, I would round down. HOWEVER, this all depends on the rules that you would apply in mathematics.

Hope this helps!! :)

Please let me know if you have any questions

Hey there! I'm happy to help!

First, we'll want to find the vertex of this parabola.

Given the equation y=ax^2+bx+c, the formula for the x-coordinate of the vertex is always [tex]-\frac{b}{2a}[/tex].

In our equation here, our a is 1 and our b is -2.

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

Now that we have our x-value of our vertex, we can plug it into our equation to find our y-coordinate.

y=1²-2(1)-5

y=1-2+5

y=-1+5

y=4

So, our vertex is at (1,4).

Vertex form is y=a(x-h)²+ k where (h,k) is our vertex. We know now that our vertex is (1,4) and we also know that our a is 1, so we can simply plug it in to this equation.

y=(x-1)²+4

Have a wonderful day and keep on learning! :D

Answer:  C) 3

Explanation:

The degree of a single variable polynomial is the largest exponent, which in this case is 3.

Hi ;-)

[tex](-7x^3+9x^2-3)\cdot(-2x^2-5x+6)=\\\\=14x^5+35x^4-46x^3-18x^4-45x^3+54x^2+6x^2+15x-18=\\\\=\boxed{14x^5+17x^4-91x^3+60x^2+15x-18}[/tex]

Answer:

see explanation

Step-by-step explanation:

Complementary angles sum to 90° , then

5x + 7 + 8x - 21 = 90 , that is

13x - 14 = 90 ( add 14 to both sides )

13x = 104 ( divide both sides by 13 )

x = 8

Then the measure of the angles are

5x + 7 = 5(8) + 7 = 40 + 7 = 47°

8x - 21 = 8(8) - 21 = 64 - 21 = 43°

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

let the angle be x then its complement is (90 - x) and

x = 2(90 - x) + 21

x = 180 - 2x + 21

x = 201 - 2x ( add 2x to both sides )

3x = 201 ( divide both sides by 3 )

x = 67

The measure of the angle is 67°

Answer:

U=(0,-3) s=(10,-8)

Step-by-step explanation:

Plot it and then just draw the rectangle again with the same length as the original one

Answer: on the number line put -1.50 (1 and a half (1 1/2))

Step-by-step explanation:

$1.50 more than his account is $200.

the balance should be $-1.50

on the number line put -1.50

Answer:

The correct answer to the question is:

The difference between Shelly's and Terrence's total points.

Answer:

B

Step-by-step explanation:

The answer or the only choice you could pick, is D.

But it is not correct - not really.

The question says that 90x - 20 represents Terrence's points. Only if D is correct does 20 show his tasks. The question must have 2 answers.

So which one do you pick? You should never have to deal with this kind of question. The answer I think you need to give is B, but I wouldn't bet the farm on it.

The question should say 90*x - 20 has Terrence's tasks in it. Then the answer is B.

Answer:

The sum of the larger and smaller number is 15.

Step-by-step explanation:

Let x = smaller number

Let y = larger number

Set up a system of equations.

2y - x = 21

2y + x = 27

Add the two equations together to cancel out x

4y = 48

Divide both sides by 4

y = 12

Plug value into either equation to find x

2(12) - x = 21

24 - x = 21

x = 3

12 + 3 = 15

Answer:

The solution is B

Step-by-step explanation:

[tex]x + 5 \geqslant 1 \\ x \geqslant 1 - 5 \\ x \geqslant - 4[/tex]

then:

[tex]x - 7 < - 3 \\ x < - 3 + 7 \\ x < 4[/tex]

therefore, interval [limits] of x:

[tex] - 4 \leqslant x < 4[/tex]

Step-by-step explanation:

5.

[tex] | \frac{x}{3} +{ \frac{2}{5} } | = 2[/tex]

[tex] \frac{x}{3} = \frac{6}{5} [/tex]

[tex]5x = 18[/tex]

[tex]x = \frac{18}{5} [/tex]

and

x/3=-12/5

x=-36/5

Answer:

Step-by-step explanation:

The first thing should always do is find a program that will show you what the graph looks like. Desmos is a free program that suits all graphing questions.

That will give you the answer (which I have labeled for you.)

First make x = 0

That gives you y = 0 + 4 = 4

The point is (0,4)

Now let y = 0

0 = -1/5 x + 4     Add 1/5x  to both sides

1/5 x = 4             Now multiply by 5

x = 5*4

x = 20

The point is (20,0)

You need one more point just to confirm your work. I chose x = - 5

When you do the calculation it comes out to y = 5

The point is (-5,5) which is labeled.

According to the figure:-

We know that Sin∅=P/H

Hence Sinx°=13/25

[tex] { \sin}^{ - 1} \frac{25}{13} = X°[/tex]

Answer:

First, let us prime factorise the given number

3993 = 3×11×11×11

Check for numbers in triplets. We find that only 11 is occuring as a triplet. Hence we must eliminate the three.

So if we divide 3993 by 3, we'll get a perfect cube, that is 1331 (11³)

So, the answer is 3

Hey man, refer the attachment.

Answer:

0.12121212121212

Answer:

0.12121212...

Step-by-step explanation:

4÷33

Answer:

The average speed of A is

100m ÷ 10. 93s = 9.14m/s

The average speed of B is

100m ÷ 10. 49s = 9. 53m/s

The average speed that B is faster than A is 9. 53 - 9. 14 = 0. 42m/s

The speed that B is faster than A is

0. 42m/s × 10. 49s = 4. 40m

So, B won by 4. 40m

Step-by-step explanation:

Answer:

angles of half a circle is 90

its 90 degrees

Answer:

90°

Step-by-step explanation:

the triangle is inside a circle and  touches the circle with each vertex and one of the side of the triangle is diameter of the circle. then the triangle is right triangle

Answer:

The line for function A is steeper

Step-by-step explanation:

The y-intercept of both functions is the same, but the line for function A is much steeper.

Answer:

B. its B

Step-by-step explanation:

The answer is B! :)

Answer:

y^-24, x^-2 y^-5, 1/ y^24, x^2/y^11, x^2y^-11 and 1/ x^2y^5

ok i tried searching up the problem and how to solve it but didn`t come up with much.

i don`t know if this changes anything, but I noticed that some of these answers are opposites

ex (from the sequence you gave me in the comments below)                                      : y^-24, x^-2, y^-5, y^24, x^2,  y^5

maybe thats what it meant by matching the expressions?

again, sorry if this wasnt much help i have a small brain DD::

[tex] - 4 - 6 \\ taking \: ( - ) \: common \\ - (4 + 6) \\ - (10) \\ - 10 \: \: is \: your \: answer[/tex]

Answer: -10

Step-by-step explanation:

Answer:

-2 1/3, 1/16, √15, 4^2

Following order from least to greatest.

Answer:

c. one solution

Step-by-step explanation:

[tex]145 = 10x - 8x \\ 2x = 145 \\ x = 72.5[/tex]

Answer:

C

Step-by-step explanation:

yes

this is the answer for sure

Answer:

A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.

Step-by-step explanation:

plz add it as brainliest

Answer:

A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation ...

Step-by-step explanation:

Add theother person as brainly

Answer:

14 Sq ft

Step-by-step explanation:

9×9=81

5×5=25

81-25=56

56÷4=14