there are 374 students at a school. Each table in the cafeteria hold 16 students. What is the MINIMUM number of tables needed for all of the students to eat lunch at the same time

Answer:

Y-Intercept: (0, -5)

Slope: 1/2

Explanation:

The y-int is when x = 0. The slope formula is (y2 - y1)/(x2 - x1) in which you use 2 points on the line.

The exponential function that passes through (0,2) and (3,54) is a growth function

The exponetial function is y = 2 * 3^x

The points are given as:

(x,y) = (0,2) and (3,54)

An exponential function is represented as:

y = ab^x

Substitute the points in the equation

2 = ab^0 and 54 = ab^3

Solve 2 = ab^0

a = 2

Substitute 2 for a in 54 = ab^3

54 = 2b^3

Divide by 2

27 = b^3

Take the cube roots of both sides

b = 3

So, we have:

y = ab^x

This becomes

y = 2 * 3^x

Hence, the exponetial function is y = 2 * 3^x

Read more about exponential functions at:

https://brainly.com/question/24077767

Proportions are created when we set two ratios equal to each other. They help us convert between rates.

Example:

⇒ In this example, we are solving for x.

⇒ Question example: For every 4 stars, there are 8 hearts. How many hearts will there be for 6 stars?

To solve proportions, we can cross multiply. This means multiplying the numerator of one fraction by the denominator of the other fraction.:

[tex]\dfrac{4\hspace{3}stars}{8\hspace{3}hearts}=\dfrac{6\hspace{3}stars}{x\hspace{3}hearts}\\\\4x=6*8[/tex]

We're given:

Set up a proportion:

[tex]\dfrac{8\hspace{3}minutes}{96\hspace{3}calories}= \dfrac{14\hspace{3}minutes}{x\hspace{3}calories}[/tex]

⇒ Let x be equal to the number of calories the jogger would burn in 14 minutes.

Cross multiply:

[tex]8x=14*96\\8x=1344\\x=168[/tex]

Therefore, the jogger would burn 168 calories in 14 minutes of jogging.

the greatest will be  + 567

then 78 ; 0 ; - 6,7 ; - 6,78 ; - 45 and the least one = - 99

Answer:

£120

Step-by-step explanation:

96 divided by 4=£24

1=£24

24+96=120

Take one side

Scale factor (A to B)

[tex]\\ \rm\rightarrowtail \dfrac{3}{9}=\dfrac{1}{3}[/tex]

#2

Scale factor Bto A:-

Scale factor (Ato B)=3/2

Answer:

The scale factor can either increase or decrease the size of an object. To find the scale factor of dilation:

[tex]\textsf{Scale factor} = \dfrac{\textsf{Dimension of the new shape}}{\textsf{Dimension of the original shape}}[/tex]

For these questions:

Question 1

[tex]\sf \implies scale \ factor=\dfrac{9}{3}=3[/tex]

Question 2

[tex]\sf \implies scale \ factor=\dfrac46=\dfrac23[/tex]

Answer:

15

Step-by-step explanation:

[tex]3\frac{3}{4} / \frac{2}{8} = \frac{15}{4} / \frac{2}{8} = \frac{15}{4} * \frac{8}{2} = \frac{120}{8} = 15[/tex]

Step-by-step explanation:

[tex](9x + 24) + 30x = 180[/tex]

[tex]39x + 24 = 180[/tex]

[tex]39x = 156[/tex]

[tex]x = 4[/tex]

Hence，we know

<DEC

[tex] = 9x + 24 = 9 \times 4 + 24 = 60[/tex]

<AEB=<DEC=60

Answer:

15cm

Step-by-step explanation:

© the envelope is 15cm rall.

Answer:

15cm

Step-by-step explanation:

√289-64

√225

15cm

Answer:

  5

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

  x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16)  = x⁵ -20x³ +64x

The first 3-digit prime is 101, so the product of that with this is ...

  101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

  (x⁵ +4x) mod 10

Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

  x(x⁴ +4) = 1(1⁴ +4) = 5

  3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

  5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10

  7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

  9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

Answer: 3

Step-by-step explanation:

Answer:

Adjacent Angles are 2 angles with common sides and a common vertex that don't overlap in any way.

Step-by-step explanation:

Leave a comment if you need any more help. Give Brainiest, please.

Answer:

Use (a-b)2 formula that is a2-2ab+B2

I think it will help you

Suposse X=a

y= B

And then use formula

Answer: B

Step-by-step explanation: The first X was 1. If you add 1 too the 1/2 in the equation, its 1 & 1/2. theres only one graph that has 1 & 1/2, and its B

Answer:

1) 200.

Step-by-step explanation:

Men = 1/³

Women = ⅔

50 men, 100 women

2:1 women to men.

there are 200 people in total.

Answer:

total people : 600

Explanation:

Let the total people be x,

men : [tex]\sf \dfrac{1}{3} (x)[/tex]

women : [tex]\sf \dfrac{2}{3} (x)[/tex]

[tex]\hookrightarrow \sf \dfrac{2}{3} (x) - \sf \dfrac{1}{3} (x) = 200[/tex]

[tex]\hookrightarrow \sf \dfrac{1}{3} (x) = 200[/tex]

[tex]\hookrightarrow \sf x = 600[/tex]

There are total 600 people.

Answer:

no solution,because the Is no 83=512 there

      Answer: [tex]\frac{4}{75}[/tex]

      To Know: A percent (%) divided by 100 becomes a decimal / fraction.

      Step-by-step explanation:

[tex]5\frac{1}{3}[/tex]% [tex]/100[/tex]

[tex]5\frac{1}{3}[/tex]%[tex]*\frac{1}{100}[/tex]

[tex]\frac{16}{3}[/tex]%[tex]*\frac{1}{100}[/tex]

[tex]\frac{16*1}{3*100} =\frac{16}{300} =\frac{8}{150}=\frac{4}{75}[/tex]

     Leaving us with an answer of [tex]\frac{4}{75}[/tex]

Answer:

I've done this question: Its batch 5

Step-by-step explanation:

It has to be all equal proportions

Step-by-step explanation:

D batch 5

c. batch 4

so d and c

Answer:

4

Step-by-step explanation:

2+2 = 4

[tex]\text{Radius of circle, r} =\dfrac 62 = 3~ m \\\\\text{Area of circle} = \pi r^2 = \pi \cdot 3^2 = 3.14 \times 9 =28.26~m^2[/tex]

Answer:

draw a square with a side length of 2.5 cm. label it CARL

Draw the circle with center A passing through C

draw SEGMENT CR

draw the straight line d passing through A and perpendicular to CR

Answer:

12 < x < 18

Step-by-step explanation:

Assuming these are 2 sides of a triangle, then

given 2 sides of a triangle , the 3rd side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

15 - 3 < x <  15 + 3

12 < x < 18

Answer:

= 29$ (to the nearest dollar)

Step-by-step explanation:

14.6 gallons of gas

       1 gallon = 1.98$

 14.6 gallons = 14.6 × 1.98$

          = 28.90800$

                   = 29$ (to the nearest dollar)

Ya sure.... What's your doubt?

Answer:

C. 451

Step-by-step explanation:

426 - 285 = 141

141 + 310 = 451

Answer:

1.6

Step-by-step explanation:

Just 7[tex]\frac{3}{10}[/tex] - 5[tex]\frac{7}{10}[/tex]

Answer:

5/9

Step-by-step explanation:

Let the probability of getting a multiple of 3 is "A"

Let the probability of getting an even number is "B"

Total number of outcomes=36

Total number of favourable outcomes of either a multiple of 3 or an even number are

(1,1) ,(1,2) ,(2,1) ,(1,3) ,(3,1) ,(2,2) ,(1,5) (5,1) ,(3,3) ,(2,4) ,(4,2) ,(2,6) ,(6,2) ,(3,5) ,(5,3) ,(4,4) ,(6,4) ,(4,6) ,(5,5) ,(6,6)

That is we have 20 favourable outcomes

Hence, Probability=\frac{\text{favourable outcomes}}{\text{total number of outcomes}}Probability=

total number of outcomes

favourable outcomes

Therefore, after substituting the values we get

probability=\frac{20}{36}probability=

36

20

After simplification we will get

probability=\frac{5}{9}probability=

9

5

Answer:

[C]

Step-by-step explanation:

To Find:

which number line represents the number of weeks it will take Alma to read at least 28 books.

Solve:

Create an inequality from the given information :

( 2x ≥ 28, where x represents the number of weeks)

Then divided both sides of the inequality by 2, resulting in x ≥ 14, or all values greater than or equal to 14.

Now,  chosen the number line that shows all numbers greater than or equal to 14 (all the numbers to the right of 14 and including 14, which is indicated by a shaded circle).

Hence, [C} is the correct answer.

~Lenvy

Answer:

He'll have to work for 12 weeks.

Step-by-step explanation:

19.20×25=480.00(how much he earns in a week)

5760/480=12

Step-by-step explanation:

as shown in the picture.

you can comment if there is a problem